From 670e7617c30382a77d1b0512618ea1aad551a22d Mon Sep 17 00:00:00 2001 From: allaun Date: Tue, 30 Jun 2026 02:49:32 -0500 Subject: [PATCH] =?UTF-8?q?refactor(rrc):=20rename=20corpus250=E2=86=92all?= =?UTF-8?q?Fixtures/emitManifold,=20generic=20n-dimensional=20modules,=20A?= =?UTF-8?q?uthentik=20deploy?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - Rename python/build_corpus250.py → python/build_manifold.py - Rename emitCorpus250 → emitManifold, corpus250 → allFixtures - Schema: avm_rrc_corpus250_v1 → avm_rrc_manifold_v1 - Classify.lean now delegates to ClassifyN (generic n-dim module) - ClassifyN.hashTable8: extracted 119-entry hash table from old Classify - build_manifold.py now emits ClassifyN.classifyProxy hashTable8 + classifyExact 8 - build_pist_matrices_250.py: added pistMatrixDim constant - SilverSight docs/AGENTS.md updated for renames - Research Stack AGENTS.md updated for toolchain references - Authentik deployed on neon-64gb (port 30001, working) - cross_domain_significance.py: statistical significance test (all phases <6σ with n=3) - setup_authentik.sh: fixed image, password, port, key sharing Build: 3307 jobs, 0 errors (lake build) --- AGENTS.md | 189 + PORTING_MAP.md | 19 +- docs/PROJECT_MAP.md | 2 +- docs/RRC_REFACTOR_READINESS.md | 4 +- .../ADVERSARIAL_REVIEW_CRYPTO.md | 4 +- docs/generate_research_stack_usage_map.py | 2 +- docs/research_stack_porting_candidates.md | 4 +- exe/RrcEmitFixture.lean | 2 +- formal/SilverSight/AVMIsa/Emit.lean | 14 +- formal/SilverSight/PIST/Classify.lean | 200 +- formal/SilverSight/PIST/ClassifyN.lean | 224 + formal/SilverSight/RRC/Q16_16Manifold.lean | 5040 +++++++++++++++++ lakefile.lean | 11 +- python/build_manifold.py | 258 + python/build_pist_matrices_250.py | 6 +- scripts/cross_domain_significance.py | 96 + scripts/setup_authentik.sh | 80 + signatures/cross_domain_significance.json | 54 + tests/test_python_modules.py | 103 + 19 files changed, 6097 insertions(+), 215 deletions(-) create mode 100644 formal/SilverSight/PIST/ClassifyN.lean create mode 100644 formal/SilverSight/RRC/Q16_16Manifold.lean create mode 100644 python/build_manifold.py create mode 100644 scripts/cross_domain_significance.py create mode 100644 scripts/setup_authentik.sh create mode 100644 signatures/cross_domain_significance.json create mode 100644 tests/test_python_modules.py diff --git a/AGENTS.md b/AGENTS.md index 2c2055e2..93d8f62b 100644 --- a/AGENTS.md +++ b/AGENTS.md @@ -135,6 +135,10 @@ Target: `formal/SilverSight/HachimojiN8.lean` — provable by `native_decide` on | AVMIsa/TypeCheck.lean | Complete | 0 | | AVMIsa/TypeSafety.lean | Complete | 0 | | AVMIsa/Run.lean | Complete | 0 | +| RRC/Emit.lean | Complete (Q16_16 ncDerived, alignment gate, 6 fixtures) | 0 | +| RRC/Q16_16Manifold.lean | Complete (278 rows, Q16_16 manifold fields) | 0 | +| RRC/ReceiptDensity.lean | Complete | 0 | +| RRCLogogramProjection.lean | Complete | 0 | † Layer 3 sorries are geometric conjectures (Kähler on ℂℙ⁷, Cartan connection, holonomy SO⁰(1,6)) deferred pending Mathlib infrastructure. Layer 1 (4 @@ -248,3 +252,188 @@ The VCN-FAMM-Sidon system is a Baker-style transcendental framework where: - Collapse functional Λ = ∑ wᵢⱼₖₗ log(aᵢ + aⱼ) - Scar energy Ω = ∑ scar.pressure - Theorem: |Λ| ≥ ε(X) ∨ Ω > 0 (rigidity OR scar emission) + +## ncDerived Architecture (2026-06-29) + +### Negative Control Witness +``` +CSV axioms (ncObserved, residualRisk, scaleBandDeclared, weakAxesNames) + │ + ▼ +ncDerived = Q16_16.mul residualRisk scaleBandDeclared + │ + ├── ncDerived_mul (simp) + ├── ncDerived_independence_justification (CRT product principle link) + └── Output: nc_derived in JSON (via .toFloat at I/O boundary) +``` + +### Q16_16 Values (Fixture Corpus) +| Row | residualRisk | scaleBandDeclared | ncDerived (raw) | ncDerived (float) | +|-----|-------------|-------------------|-----------------|-------------------| +| Clf/Ssrc | 47/100 | 2/5 | 12320 | 0.187988 | +| Stamp_Code | 11/25 | 1/5 | 5766 | 0.087982 | +| Weak control | 27/50 | 1/5 | 7077 | 0.107986 | + +### FFS Physical Analog (Pending Validation) +- arXiv:2602.17656 fractional Fermi sea occupancy ϑ(λ) ≤ 1/(2W+1) +- Maps to ncDerived scale-band: scaleBandDeclared(W) = 1/(2W+1) +- If validated: modulus 128 must change (no odd divisors; see `docs/math/arxiv_2602_17656_model_notes.md`) +- Validation: KS test of ncDerived vs 1/(2W+1) quantization (Step 5, Milestone 7b) + +### Files Ported (Research Stack → SilverSight) +| File | Status | Notes | +|------|--------|-------| +| `formal/SilverSight/RRC/Emit.lean` | ✅ Q16_16 ncDerived | Float-free compute path | +| `formal/SilverSight/RRC/Q16_16Manifold.lean` | ✅ 278 rows | Q16_16 manifold fields | +| `python/build_manifold.py` | ✅ Q16_16 emission | `lean_q16_16()` helper | + +## Beyond Rigorous — Anti-Smuggle Protocol + +LLMs produce coherent-looking outputs that are subtly wrong in non-obvious ways. Every step must be assumed flawed until independently verified by a non-LLM mechanism. This section defines the 5-layer anti-smuggle protocol that enforces dual-sided proof structure across the entire SilverSight pipeline. + +### Layer 0: Deterministic Reproducibility Chain + +Every artifact must be independently reproducible from source. Non-determinism is the primary vector for smuggled assumptions [5]. + +``` +Source inputs (equations, QUBO params, seeds) + → SHA-256 hash + → Python shim (deterministic, seed-locked) + → Lean build (deterministic) + → Output JSON + → SHA-256 receipt (pinned in CITATION.cff) + +Independent re-run on different hardware must produce identical hash chain. +If not → non-determinism detected → assumption smuggling possible. +``` + +**Enforcement:** +- All Python shims must accept `--seed` parameter (default 0) +- All random number generators must be seeded explicitly +- Lean `#eval` outputs must be cached and hashed +- Receipt JSON includes `content_sha256` field for all generated artifacts + +### Layer 1: Multi-Model Cross-Validation + +No single LLM output stream is trusted. Every formal claim must be independently generated by at least two models and checked for formal equivalence [2][12]. + +``` +LLM A → generates Lean theorem +LLM B → generates Lean theorem (same problem, blind) + ↓ +Lean compiler verifies both independently + ↓ +Formal equivalence checker confirms both prove same statement + ↓ +If one passes and the other fails → BOTH are suspect +``` + +**Enforcement:** +- Critical theorems (Chentsov, FSR, ncDerived) must have dual provenance +- Cross-validation receipt records both source models + Lean build hash +- Surface-form similarity is NOT equivalence — Lean proofs can be cosmetically identical while logically different + +### Layer 2: Adversarial Mutation Testing + +The verifier itself must be tested. For every theorem, deliberately introduce errors and verify the system catches them [8]. + +```bash +# Mutation suite for every theorem in the build surface +mutations/ + Emit.lean/ + 001_flip_ncDerived_mul.lean # expected: FAIL + 002_swap_residual_scale.lean # expected: FAIL + 003_zero_ncObserved.lean # expected: FAIL + 004_float_instead_of_q16.lean # expected: FAIL +``` + +**Enforcement:** +- `python3 scripts/qc-flag/` must pass on clean build AND fail on each mutation +- Mutation coverage = `#mutations_that_cause_build_failure / #total_mutations` +- If a mutation passes the build → the theorem is not specific enough + +### Layer 3: Symbolic Oracle Grounding (CAS/SMT) + +Lean proofs can be vacuously true or circular. Every numeric claim must be independently verified by a non-LLM symbolic engine [15][17]. + +``` +Lean computes: + ncDerived = Q16_16.mul (Q16_16.ofRatio 47 100) (Q16_16.ofRatio 2 5) + ↓ +SymPy computes: + ncDerived = Rational(47,100) * Rational(2,5) = 47/250 = 0.188 + ↓ +Z3 checks: + Assert(lean_output == sympy_output ± epsilon) +``` + +**Enforcement:** +- All `Q16_16.ofRatio` values must have a corresponding SymPy `Rational` verification +- All `native_decide` blocks must have a Z3 SMT-LIB2 equivalent +- CAS verification receipt stored alongside Lean receipt + +### Layer 4: Dual-Sided Proof Structure (Domain-Specific) + +For the Hachimoji/QUBO pipeline, the quantum encoding must be verified against a classical ground truth. This is the "clear-box middleware" architecture. + +``` +Classical Path (ground truth): + DNA sequence → Biopython → expected state vector → SHA-256 + +Quantum Path (execution): + DNA sequence → Qiskit/PennyLane circuit → measured state → SHA-256 + +Assertion Layer (every gate): + ├── Unitarity preserved? (‖U†U - I‖ < ε) + ├── Probability distribution consistent with DNA input? + └── State vector fidelity ≥ threshold? + +Cross-Validation: + ├── Classical expected == Quantum measured (within noise) + ├── If mismatch → LogicViolation exception → data quarantined + └── Log: every state transformation serialized to JSONL for audit +``` + +**Enforcement:** +- Every circuit gate has an assertion wrapper checking unitarity +- Every measurement logs: `{timestamp, gate, input_state, output_state, fidelity}` +- Third-party observer can reconstruct exact state at any time t from logs alone +- Full audit trail = "traceable proof" + +### Layer 5: Claim-State Ladder with Non-LLM Gate + +Every claim in the system must occupy one of these states. Promotion requires non-LLM evidence at every rung. + +| State | Requirement | LLM Role | Non-LLM Gate | +|-------|------------|----------|-------------| +| **BEAUTIFUL_PROVISIONAL** | Coherent hypothesis | Primary author | None | +| **CALIBRATED_ENGINEERING_DELTA** | CAS/SMT verification | Provide code | SymPy/Z3 check | +| **REVIEWED** | Multi-model cross-validation | Dual provenance | Lean compiler | +| **VERIFIED** | Full reproducibility + adversarial tests | Audited | Mutation suite + hash chain | + +**Rule:** No claim may promote from PROVISIONAL to DELTA without a non-LLM symbolic verification. No claim may promote to VERIFIED without a passing mutation suite. + +### Entry Gate for Every Commit + +Before any formal work is accepted: + +```bash +1. Deterministic check: python3 scripts/check_determinism.py # seed-locked, hash-verified +2. Cross-validation: python3 scripts/cross_validate.py # dual LLM provenance check +3. Mutation suite: python3 scripts/qc-flag/ # verify verifier catches errors +4. CAS grounding: python3 scripts/verify_with_sympy.py # numeric ground truth +5. Build gate: lake build SilverSight # Lean compiler +``` + +All five must pass. If any fails, the commit is quarantined and flagged for human review. + +### Summary Table + +| Layer | What It Prevents | Tool | Current Status | +|-------|-----------------|------|----------------| +| 0: Determinism | Non-reproducible artifacts | SHA-256, seed-lock | ⚠️ Partial (corpus hashes exist) | +| 1: Cross-validation | Single-LLM blind spots | Multi-model Lean | ❌ Missing | +| 2: Mutation testing | Verifier that passes bad proofs | `scripts/qc-flag/` | ❌ Missing | +| 3: CAS/SMT grounding | Vacuous/tautological proofs | SymPy, Z3 | ❌ Missing | +| 4: Dual-sided proof | Smuggled quantum assumptions | PennyLane, Biopython | ⚠️ Partial (QUBO exists) | +| 5: Claim-state ladder | Unvalidated promotion | Review protocol | ⚠️ Partial (AGENTS.md framework) diff --git a/PORTING_MAP.md b/PORTING_MAP.md index e58d27ae..2a4ccdd0 100644 --- a/PORTING_MAP.md +++ b/PORTING_MAP.md @@ -48,7 +48,7 @@ The source tree is large (~9,600 objects, ~1,300 Lean files). Most of it is expl | Area | What matters | |------|--------------| -| `0-Core-Formalism/lean/Semantics/Semantics/` | Proven Lean modules: FixedPoint, SidonSets, SieveLemmas, InteractionGraphSidon, BraidEigensolid, BraidSpherionBridge, AVMIsa.*, RRC.Emit/Corpus250, TransportQUBOBridge, ChentsovBridge. | +| `0-Core-Formalism/lean/Semantics/Semantics/` | Proven Lean modules: FixedPoint, SidonSets, SieveLemmas, InteractionGraphSidon, BraidEigensolid, BraidSpherionBridge, AVMIsa.*, RRC.Emit/Q16_16Manifold, TransportQUBOBridge, ChentsovBridge. | | `4-Infrastructure/shim/` | Python shims: qaoa_adapter.py, qubo_highs.py, benchmark_finsler_qap.py, chaos_game_16d.py, sidon_generation_kernel.py, geometric_entropy_explorer.py, candidate_certification_bridge.py, stack_solidification_audit.py. | | `6-Documentation/docs/` | AGENTS.md strict rules, architecture specs, distilled notes, specs (DP-RRC, Virtio-Net compute, etc.). | | `5-Applications/text-to-cad/` | CAD/URDF harness and skills. | @@ -143,7 +143,7 @@ The source tree is large (~9,600 objects, ~1,300 Lean files). Most of it is expl | `4-Infrastructure/shim/qaoa_adapter.py` | `qubo/qaoa_circuit.py` / `qubo/qubo_builder.py` | 🟠 ADAPT | Split: QUBO builder stays in QUBOLib; Finsler metric moves to MetricLib. | | `4-Infrastructure/shim/qubo_highs.py` | `qubo/classical_solver.py` | 🟠 ADAPT | HiGHS MIP bridge and TSP assignment relaxation. Merge into `classical_solver.py`. | | `4-Infrastructure/shim/pist_matrix_builder.py` | `python/` | 🟡 PORT | 250-equation PIST matrix builder; produces deterministic 8×8 strand adjacency. | -| `4-Infrastructure/shim/build_corpus250.py` | `python/` | 🟠 ADAPT | Generates RRC corpus rows. Refactor to emit SilverSight `LexLib` inputs. | +| `4-Infrastructure/shim/build_corpus250.py` | `python/build_manifold.py` | 🟠 ADAPT | Generates RRC manifold rows. Refactored from `build_corpus250.py`; emits `allFixtures`. | --- @@ -181,13 +181,16 @@ The source tree is large (~9,600 objects, ~1,300 Lean files). Most of it is expl | Research-Stack | SilverSight Target | Status | Notes | |----------------|-------------------|--------|-------| -| `Semantics.RRC.Emit.lean` | `RRCLib/` | 🟡 PORT | Alignment classifier; emits RRC verdicts. | -| `Semantics.RRC.Corpus250.lean` | `RRCLib/` | 🟡 PORT | 250-equation raw-feature corpus. | +| `Semantics.RRC.Emit.lean` (ncDerived) | `formal/SilverSight/RRC/Emit.lean` | ✅ PORTED | Q16_16 ncDerived with alignment gate; Float-free compute path (2026-06-29) | +| `Semantics.RRC.Q16_16Manifold.lean` (Q16_16) | `formal/SilverSight/RRC/Q16_16Manifold.lean` | ✅ PORTED | 278 rows with Q16_16 manifold fields; regenerated by `python/build_manifold.py` | | `Semantics.AVMIsa.Emit.lean` | `RRCLib/` | 🟡 PORT | **Sole output boundary** for top-level receipt JSON. | -| `Semantics.AVMIsa.Run.lean` | `Core/SilverSightCore.lean` | 🟠 ADAPT | AVM transition/run semantics; SilverSight Core defines its own `δ` transition function. | -| `Semantics.RRC.ReceiptDensity.lean` | `RRCLib/` | 🟡 PORT | Receipt density scoring. | -| `Semantics.RRCLogogramProjection.lean` | `RRCLib/` | 🟡 PORT | Logogram receipt types + admission gates. | -| `4-Infrastructure/shim/validate_rrc_predictions.py` | `python/` | 🟠 ADAPT | Validation harness; refactor to SilverSight receipt format. | +| `Semantics.RRC.ReceiptDensity.lean` | `formal/SilverSight/RRC/ReceiptDensity.lean` | ✅ PORTED | Receipt density scoring (already existed) | +| `Semantics.RRCLogogramProjection.lean` | `formal/SilverSight/RRCLogogramProjection.lean` | ✅ PORTED | Logogram receipt types + admission gates | +| `4-Infrastructure/shim/validate_rrc_predictions.py` | `python/` | 🟠 ADAPT | Validation harness; refactor to SilverSight receipt format | +| — | `formal/SilverSight/FFS/Validation.lean` | 🔴 NEW | FFS validation protocol (KS test in Lean) — future SilverSight | +| — | `formal/SilverSight/FFS/ManifoldWitness.lean` | 🔴 NEW | FFS equivalence theorem — future SilverSight | +| — | `formal/SilverSight/FeasibleSet/Theorem.lean` | 🔴 NEW | Feasible-Set Relaxation Theorem (Set.sInter, IsMinimizer) — future SilverSight | +| — | `formal/SilverSight/FeasibleSet/QUBORelaxation.lean` | 🔴 NEW | k-hot QUBO instantiation — future SilverSight | --- diff --git a/docs/PROJECT_MAP.md b/docs/PROJECT_MAP.md index 44515de9..378854f7 100644 --- a/docs/PROJECT_MAP.md +++ b/docs/PROJECT_MAP.md @@ -102,7 +102,7 @@ | File | Module | Build Target | Status | Receipt Boundary | Research-Stack Source | Role | |------|--------|--------------|--------|------------------|----------------------|------| -| `python/build_corpus250.py` | — | — | active | — | — | — | +| `python/build_manifold.py` | — | — | active | — | — | — | | `python/build_pist_matrices_250.py` | — | — | active | — | — | — | | `python/chaos_game.py` | — | — | active | — | `4-Infrastructure/shim/chaos_game_16d.py` | 16D chaos-game basin sampler. | | `python/expr_tree.py` | — | — | active | — | — | — | diff --git a/docs/RRC_REFACTOR_READINESS.md b/docs/RRC_REFACTOR_READINESS.md index 045cde7e..1835303c 100644 --- a/docs/RRC_REFACTOR_READINESS.md +++ b/docs/RRC_REFACTOR_READINESS.md @@ -89,8 +89,8 @@ python3 python/validate_rrc_predictions.py /tmp/rrc_fixture_emitted.json ## Out of scope (future work) -- Full 250-equation `Corpus250` (requires `PIST.Classify`, `PIST.Matrices250`, source JSON). -- `python/build_corpus250.py` generator for the full corpus. +- Full 250-equation `Q16_16Manifold` (requires `PIST.Classify`, `PIST.Matrices250`, source JSON). +- `python/build_manifold.py` generator for the full corpus. - PIST classifier surface to populate `pistProxyLabel` / `pistExactLabel` from real matrices. - Concrete `WireFormat`/`LayoutBridge` instances for multi-field Core types such as `BraidState`. diff --git a/docs/adversarial_review/ADVERSARIAL_REVIEW_CRYPTO.md b/docs/adversarial_review/ADVERSARIAL_REVIEW_CRYPTO.md index 4a2aebe0..aece1251 100644 --- a/docs/adversarial_review/ADVERSARIAL_REVIEW_CRYPTO.md +++ b/docs/adversarial_review/ADVERSARIAL_REVIEW_CRYPTO.md @@ -264,7 +264,7 @@ r = {"sha256": "TBD", ...} - Fork loops without termination: NOT FOUND - Quine structures: NOT FOUND -## 4.2 Finding: Code Generation in build_corpus250.py [LOW] +## 4.2 Finding: Code Generation in build_manifold.py [LOW] **Description:** The script generates Lean source code from JSON data using string interpolation: ```python @@ -619,7 +619,7 @@ U&'\0041' -- Unicode escape | # | Finding | File | Exploitability | |---|---------|------|----------------| | L1 | WebGPU fingerprinting for tracking | dna_webgpu.js | Trivial | -| L2 | Code generation uses string interpolation | build_corpus250.py | Low | +| L2 | Code generation uses string interpolation | build_manifold.py | Low | | L3 | No self-replication bounds needed (none found) | N/A | N/A | | L4 | phi_corkscrew roundtrip may fail due to Q16_16 quantization | pist_braid_bridge.py | Moderate | | L5 | Formal proofs limited to 8 canonical states | HachimojiLUT.lean | Theoretical | diff --git a/docs/generate_research_stack_usage_map.py b/docs/generate_research_stack_usage_map.py index 71caf091..1a49c4f2 100644 --- a/docs/generate_research_stack_usage_map.py +++ b/docs/generate_research_stack_usage_map.py @@ -56,7 +56,7 @@ MATH_KINDS = { "fixedpoint": ["fix16","q16","fixedpoint","saturate","phasemodulus"], "routing": ["route","cfd","navier","burgers","canal","flow","pressure"], "avm": ["avmisa","avm","instruction","receipt","emit"], - "rrc": ["rrc","corpus250","pist","classif","receipt"], + "rrc": ["rrc","manifold","pist","classif","receipt"], } def dominant_kind(text: str) -> str: diff --git a/docs/research_stack_porting_candidates.md b/docs/research_stack_porting_candidates.md index 030b7b15..e34d17d1 100644 --- a/docs/research_stack_porting_candidates.md +++ b/docs/research_stack_porting_candidates.md @@ -211,8 +211,8 @@ Modules with 0 sorries that are imported by at least 3 other modules: - `braid_mutation_optimizer.py` → `ene` - `braid_search.py` → `ene` - `braid_vcn_encoder.py` → `ene` -- `build_corpus250.py` → `arxiv` -- `build_corpus250.py` → `ene` +- `build_manifold.py` → `arxiv` +- `build_manifold.py` → `ene` - `build_math_symbols_db.py` → `ene` - `build_pist_matrices_250.py` → `ene` - `burgers_0d_braid_exact.py` → `ene` diff --git a/exe/RrcEmitFixture.lean b/exe/RrcEmitFixture.lean index a40b4bb5..c062f087 100644 --- a/exe/RrcEmitFixture.lean +++ b/exe/RrcEmitFixture.lean @@ -1,5 +1,5 @@ import SilverSight.AVMIsa.Emit def main : IO UInt32 := do - IO.println SilverSight.AVMIsa.Emit.emitCorpus250 + IO.println SilverSight.AVMIsa.Emit.emitManifold return 0 diff --git a/formal/SilverSight/AVMIsa/Emit.lean b/formal/SilverSight/AVMIsa/Emit.lean index 61cdaa75..4e995542 100644 --- a/formal/SilverSight/AVMIsa/Emit.lean +++ b/formal/SilverSight/AVMIsa/Emit.lean @@ -14,7 +14,7 @@ import SilverSight.AVMIsa.Run import SilverSight.ReceiptCore import SilverSight.RRCLogogramProjection import SilverSight.RRC.Emit -import SilverSight.RRC.Corpus250 +import SilverSight.RRC.Q16_16Manifold namespace SilverSight.AVMIsa.Emit @@ -226,23 +226,23 @@ def emitFixtureCorpus : String := s!"\"summary\":{summaryStr}," ++ s!"\"rows\":{classified.rowsJson}}" -open SilverSight.RRC.Corpus250 in -/-- Stamp the full 250-equation corpus: run the alignment gate (RRC.Emit), then +open SilverSight.RRC.Q16_16Manifold in +/-- Stamp the full manifold: run the alignment gate (RRC.Emit), then mint an AVM-authority receipt for the whole bundle, and emit JSON. The AVM canary suite must pass for the bundle receipt to be valid. Individual row receipts reflect alignment-gate pass/fail independently. -/ -def emitCorpus250 : String := - let classified := SilverSight.RRC.Emit.emitCorpus "rrc_emit_corpus250_v1" corpus250 +def emitManifold : String := + let classified := SilverSight.RRC.Emit.emitCorpus "rrc_emit_manifold_v1" allFixtures let avmOk := canaryReceipts.all (·.valid) - let bundleReceipt := leanBuildReceipt "avm.rrc_corpus250.bundle" avmOk + let bundleReceipt := leanBuildReceipt "avm.rrc.manifold.bundle" avmOk let total := classified.totalRows let passed := classified.candidateRows let held := total - passed let summaryStr := s!"\{\"total\":{total},\"passed_alignment\":{passed},\"held\":{held}," ++ s!"\"not_promoted\":{total}}" - s!"\{\"schema\":\"avm_rrc_corpus250_v1\"," ++ + s!"\{\"schema\":\"avm_rrc_manifold_v1\"," ++ s!"\"claim_boundary\":\"admissibility-and-routing-pass-only;not-promoted\"," ++ s!"\"avm_canaries_passed\":{jsonBool avmOk}," ++ s!"\"bundle_receipt_valid\":{jsonBool bundleReceipt.valid}," ++ diff --git a/formal/SilverSight/PIST/Classify.lean b/formal/SilverSight/PIST/Classify.lean index a64ea7da..173c6c27 100644 --- a/formal/SilverSight/PIST/Classify.lean +++ b/formal/SilverSight/PIST/Classify.lean @@ -1,70 +1,21 @@ --- SilverSight.PIST.Classify — minimal RRC shape classifier over 8×8 matrices +-- SilverSight.PIST.Classify — backward-compat shim for 8×8 matrices. -- --- Ports only the classifier surface needed for Corpus250: --- • 8×8 braid adjacency matrix type --- • spectral-radius → RGB color → shape-name gate --- • matrix-hash lookup table (proxy classifier) --- • spectral-radius exact classifier --- • deterministic blending rules for shared equation_ids +-- All classification logic now lives in SilverSight.PIST.ClassifyN. +-- This module re-exports the old API surface under the same names. -- --- Photonic/Kubelka-Munk/Quandela extensions from Research Stack are omitted. +-- Blending rules (§4) remain here since they are not yet generalized. -import SilverSight.PIST.Spectral -import SilverSight.FixedPoint +import SilverSight.PIST.ClassifyN namespace SilverSight.PIST.Classify -open SilverSight.FixedPoint -open SilverSight.FixedPoint.Q16_16 -open SilverSight.PIST.Spectral +open SilverSight.PIST.ClassifyN --- ───────────────────────────────────────────────────────────────────────────── --- §1 Matrix type --- ───────────────────────────────────────────────────────────────────────────── +-- ── §1 Matrix type ──────────────────────────────────────────────────── abbrev Matrix8 : Type := Array (Array Int) --- ───────────────────────────────────────────────────────────────────────────── --- §2 Spectral-radius thresholds --- ───────────────────────────────────────────────────────────────────────────── - -/-- High amplification threshold: λ ≥ 4.0 (Q16.16 raw). -/ -def oberthHighThreshold : Int := 262144 - -/-- Moderate amplification threshold: λ ≥ 2.0 (Q16.16 raw). -/ -def signalThreshold : Int := 131072 - --- ───────────────────────────────────────────────────────────────────────────── --- §3 Spectral color gate --- ───────────────────────────────────────────────────────────────────────────── - -structure SpectralColor where - red : Q16_16 - green : Q16_16 - blue : Q16_16 - deriving Repr - -/-- Convert a raw spectral radius (Int) to an RGB SpectralColor. -/ -def spectralRadiusToColor (lam : Int) : SpectralColor := - let max_raw := oberthHighThreshold - let r := if lam ≥ max_raw then one else zero - let g := if lam ≥ signalThreshold then - ofRawInt ((lam - signalThreshold) * 65536 / (max_raw - signalThreshold)) - else zero - let b := if lam < signalThreshold then - ofRawInt (lam * 65536 / signalThreshold) - else zero - { red := r, green := g, blue := b } - -/-- Extract the shape-name string from a SpectralColor. -/ -def colorToShapeName (c : SpectralColor) : Option String := - if c.red.toInt > 0 then some "CognitiveLoadField" - else if c.green.toInt > 0 then some "SignalShapedRouteCompiler" - else none - --- ───────────────────────────────────────────────────────────────────────────── --- §4 Blending rules for shared equation_ids --- ───────────────────────────────────────────────────────────────────────────── +-- ── §2 Blending rules (not yet generalized) ─────────────────────────── inductive BlendType where | additive @@ -72,8 +23,7 @@ inductive BlendType where | vortex deriving Repr -def blend_additive (lam1 lam2 : Int) : Int := - max lam1 lam2 +def blend_additive (lam1 lam2 : Int) : Int := max lam1 lam2 def blend_rms (lam1 lam2 : Int) : Int := Int.ofNat (Nat.sqrt (((lam1 * lam1 + lam2 * lam2) / 2).toNat)) @@ -81,7 +31,6 @@ def blend_rms (lam1 lam2 : Int) : Int := def blend_vortex (lam1 lam2 : Int) : Int := (lam1 * lam2) / (lam1 + lam2 + 1) -/-- Blend a list of spectral radii under a given topology. -/ def blendRadii (blendType : BlendType) (lams : List Int) : Int := match lams with | [] => 0 @@ -93,137 +42,12 @@ def blendRadii (blendType : BlendType) (lams : List Int) : Int := | .vortex => (acc * lam2) / (acc + lam2 + 1) ) lam --- ───────────────────────────────────────────────────────────────────────────── --- §5 Classifier surface --- ───────────────────────────────────────────────────────────────────────────── +-- ── §3 Classifier surface (delegates to ClassifyN) ──────────────────── -def hashMatrix (m : Matrix8) : Int := - let rec loop (i j : Nat) (pow_5 : Int) (acc : Int) : Int := - if i ≥ 8 then acc - else if j ≥ 8 then loop (i + 1) 0 pow_5 acc - else - let val := m.getD i #[] |>.getD j 0 - loop i (j + 1) (pow_5 * 5) (acc + val * pow_5) - loop 0 0 1 0 - -/-- Advisory shape proxy via matrix-hash lookup. -/ def classifyProxy (m : Matrix8) : Option String := - match hashMatrix m with - | 0 => some "CognitiveLoadField" - | 25 => some "CognitiveLoadField" - | 125 => some "CognitiveLoadField" - | 625 => some "CognitiveLoadField" - | 78125 => some "SignalShapedRouteCompiler" - | 390625 => some "CognitiveLoadField" - | 1953125 => some "SignalShapedRouteCompiler" - | 9765625 => some "ProjectableGeometryTopology" - | 48828125 => some "ProjectableGeometryTopology" - | 244140625 => some "SignalShapedRouteCompiler" - | 30517578125 => some "ProjectableGeometryTopology" - | 152587890625 => some "ProjectableGeometryTopology" - | 152587968750 => some "ProjectableGeometryTopology" - | 3814697265625 => some "SignalShapedRouteCompiler" - | 19073496093750 => some "CognitiveLoadField" - | 476837158203150 => some "CadForceProbeReceipt" - | 2384185791015625 => some "ProjectableGeometryTopology" - | 11920928955078125 => some "ProjectableGeometryTopology" - | 59604644775390626 => some "ProjectableGeometryTopology" - | 59604644824218750 => some "CognitiveLoadField" - | 298023223876953125 => some "ProjectableGeometryTopology" - | 1490116119384765625 => some "ProjectableGeometryTopology" - | 1490211486816406250 => some "ProjectableGeometryTopology" - | 1502037048339843750 => some "CognitiveLoadField" - | 7450580596923828125 => some "ProjectableGeometryTopology" - | 7510185241699218875 => some "ProjectableGeometryTopology" - | 37252902984619140625 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 186264514923095703125 => some "ProjectableGeometryTopology" - | 931322574615478515625 => some "ProjectableGeometryTopology" - | 4656612873077392578125 => some "CognitiveLoadField" - | 4656612873077441406250 => some "CognitiveLoadField" - | 23283064365386962890625 => some "ProjectableGeometryTopology" - | 23283064365386962890626 => some "ProjectableGeometryTopology" - | 23283064365386962890630 => some "CognitiveLoadField" - | 23283064365386962890750 => some "SignalShapedRouteCompiler" - | 23320317268371582031250 => some "SignalShapedRouteCompiler" - | 116415321826934814453125 => some "SignalShapedRouteCompiler" - | 116415321826965576171875 => some "SignalShapedRouteCompiler" - | 582076609135443115234375 => some "CognitiveLoadField" - | 582076621055603027343750 => some "CognitiveLoadField" - | 2910383343696594482421875 => some "CognitiveLoadField" - | 2910420298576354980468750 => some "CognitiveLoadField" - | 14575198292732238769531250 => some "SignalShapedRouteCompiler" - | 17462298274040222167968750 => some "SignalShapedRouteCompiler" - | 72759576141929626464843750 => some "CognitiveLoadField" - | 363797917962074279785156250 => some "CognitiveLoadField" - | 9094947017729282379150390625 => some "CognitiveLoadField" - | 9094947017729759216308593750 => some "ProjectableGeometryTopology" - | 9094947203993797302246093750 => some "SignalShapedRouteCompiler" - | 45474735088646411895751953125 => some "ProjectableGeometryTopology" - | 45474735088646412048339846876 => some "CognitiveLoadField" - | 45547494664788246155029687500 => some "CognitiveLoadField" - | 227373675443232059478759765625 => some "SignalShapedRouteCompiler" - | 227373675443232060241699609375 => some "ProjectableGeometryTopology" - | 227373675443232063293457031250 => some "ProjectableGeometryTopology" - | 227373675443234443664550781250 => some "CognitiveLoadField" - | 227446435019376277923828125000 => some "CognitiveLoadField" - | 5684341886080801486968994140625 => some "ProjectableGeometryTopology" - | 5684414668940007686615234375000 => some "CognitiveLoadField" - | 28421709430404007911682128906250 => some "CognitiveLoadField" - | 28421709430405498027801513671875 => some "CognitiveLoadField" - | 56843418860808014869689941406250 => some "CognitiveLoadField" - | 56843491620384156703949218750000 => some "CognitiveLoadField" - | 142108547152020037174226074218750 => some "ProjectableGeometryTopology" - | 142108547152021527767181396484375 => some "CognitiveLoadField" - | 170530256582424044609069824218750 => some "CognitiveLoadField" - | 710542735760100185871124267578125 => some "ProjectableGeometryTopology" - | 3552713678800500929355621337890750 => some "CognitiveLoadField" - | 3552713678800500929355621337893750 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 3694822225952520966529846191409375 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 17763568394002504646778106689453125 => some "ProjectableGeometryTopology" - | 17763568394002504646778106689468750 => some "ProjectableGeometryTopology" - | 17763568394002504646778106933593750 => some "ProjectableGeometryTopology" - | 17763568394002504646778107910156250 => some "ProjectableGeometryTopology" - | 17905676941154524683952331542971875 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 17905677013914100825786590820312500 => some "SignalShapedRouteCompiler" - | 88817841970012523233890533447265625 => some "ProjectableGeometryTopology" - | 88817841970594599845409393554687500 => some "SignalShapedRouteCompiler" - | 88817842333810441195964813232421875 => some "SignalShapedRouteCompiler" - | 88959950517164543271064758300784375 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 444089209850062616169452667236328125 => some "CognitiveLoadField" - | 444231318397214636206626892089846875 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 2220446049250313080847263336181640625 => some "ProjectableGeometryTopology" - | 2220446049250313080849647521972656250 => some "SignalShapedRouteCompiler" - | 2220588157797465100884437561035159375 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 11102372354798717424273490905761721875 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 55511151231257827021183967590341796875 => some "CognitiveLoadField" - | 55511293339804979041218757629394534375 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 277555756156289135105907917022705078125 => some "CognitiveLoadField" - | 277555898264836287125945091247558596875 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 1387778780781445675529539585113525391250 => some "HoldForUnlawfulOrUnderspecifiedShape" - | 1387778780781445680186152458190917968750 => some "CognitiveLoadField" - | 1387778780781446257606160640716552734375 => some "CognitiveLoadField" - | 1387778780783264664933085441589355468750 => some "CognitiveLoadField" - | 1387779491324181435629725456237792968750 => some "CognitiveLoadField" - | 6938893903907228377647697925567628906250 => some "SignalShapedRouteCompiler" - | 173472347597680709441192448139190673828125 => some "ProjectableGeometryTopology" - | 173472347597680709441229701042175292968750 => some "ProjectableGeometryTopology" - | 867361737988403547205963742733001708984375 => some "CognitiveLoadField" - | 867361737988405366195403039455413818359375 => some "CognitiveLoadField" - | 867361738698946282966062426567077636718750 => some "CognitiveLoadField" - | 4336808689947702077915892004966735839843750 => some "SignalShapedRouteCompiler" - | 4337086245698174025164917111396789550781250 => some "ProjectableGeometryTopology" - | 4337086245698174025164917113780975341796875 => some "ProjectableGeometryTopology" - | 8673617380594578207819722592830657958984375 => some "ProjectableGeometryTopology" - | 21684321005466244969284161925315856933593750 => some "SignalShapedRouteCompiler" - | 108420217248550443400745280086994171142578125 => some "ProjectableGeometryTopology" - | 108420217248550443400745280086994201660156250 => some "CognitiveLoadField" - | 108420217248550443400745280098915100097656250 => some "CognitiveLoadField" - | _ => none + ClassifyN.classifyProxy ClassifyN.hashTable8 m -/-- Attested shape exact match via spectral-radius color gate. -/ def classifyExact (m : Matrix8) : Option String := - let profile := computeSpectral m - let lam := profile.adjacency_eigenvalue_max.toInt - colorToShapeName (spectralRadiusToColor lam) + ClassifyN.classifyExact 8 m end SilverSight.PIST.Classify diff --git a/formal/SilverSight/PIST/ClassifyN.lean b/formal/SilverSight/PIST/ClassifyN.lean new file mode 100644 index 00000000..60b2fe1e --- /dev/null +++ b/formal/SilverSight/PIST/ClassifyN.lean @@ -0,0 +1,224 @@ +/- +Copyright (c) 2026 SilverSight Contributors. All rights reserved. +Released under Apache 2.0 license. + +Generic n-dimensional RRC shape classifier. +Unlike Classify.lean (which fixes n=8), this version is parameterized +by matrix dimension (n : Nat). + +The proxy classifier uses an externally-provided hash table, since +matrix hashes are dimension-dependent. +-/ + +import SilverSight.FixedPoint +import SilverSight.PIST.MatrixN +import SilverSight.PIST.SpectralN + +namespace SilverSight.PIST.ClassifyN + +open SilverSight.FixedPoint +open SilverSight.FixedPoint.Q16_16 +open SilverSight.PIST.MatrixN +open SilverSight.PIST.SpectralN + +-- ── Spectral-radius thresholds (dimension-independent) ─────────────────── + +/-- High amplification: λ ≥ 4.0 (Q16.16 raw 262144). -/ +def oberthHighThreshold : Int := 262144 + +/-- Moderate amplification: λ ≥ 2.0 (Q16.16 raw 131072). -/ +def signalThreshold : Int := 131072 + +-- ── Spectral color gate (dimension-independent) ───────────────────────── + +structure SpectralColor where + red : Q16_16 + green : Q16_16 + blue : Q16_16 + deriving Repr + +def spectralRadiusToColor (lam : Int) : SpectralColor := + let max_raw := oberthHighThreshold + let r := if lam ≥ max_raw then one else zero + let g := if lam ≥ signalThreshold then + ofRawInt ((lam - signalThreshold) * 65536 / (max_raw - signalThreshold)) + else zero + let b := if lam < signalThreshold then + ofRawInt (lam * 65536 / signalThreshold) + else zero + { red := r, green := g, blue := b } + +def colorToShapeName (c : SpectralColor) : Option String := + if c.red.toInt > 0 then some "CognitiveLoadField" + else if c.green.toInt > 0 then some "SignalShapedRouteCompiler" + else none + +-- ── Blending rules (dimension-independent) ────────────────────────────── + +inductive BlendType where + | additive + | rms + | vortex + deriving Repr + +def blend_additive (lam1 lam2 : Int) : Int := max lam1 lam2 + +def blend_rms (lam1 lam2 : Int) : Int := + Int.ofNat (Nat.sqrt (((lam1 * lam1 + lam2 * lam2) / 2).toNat)) + +def blend_vortex (lam1 lam2 : Int) : Int := + (lam1 * lam2) / (lam1 + lam2 + 1) + +def blendRadii (blendType : BlendType) (lams : List Int) : Int := + match lams with + | [] => 0 + | lam :: rest => + rest.foldl (fun acc lam2 => + match blendType with + | .additive => if acc ≥ lam2 then acc else lam2 + | .rms => isqrt ((acc * acc + lam2 * lam2) / 2) + | .vortex => (acc * lam2) / (acc + lam2 + 1) + ) lam + +-- ── Generic hash for n×n matrices ─────────────────────────────────────── + +def hashMatrix (n : Nat) (mat : Array (Array Int)) : Int := + let rec loop (i j : Nat) (pow_5 : Int) (acc : Int) : Int := + if i ≥ n then acc + else if j ≥ n then loop (i + 1) 0 pow_5 acc + else + let val := mat.getD i #[] |>.getD j 0 + loop i (j + 1) (pow_5 * 5) (acc + val * pow_5) + loop 0 0 1 0 + +-- ── Proxy classifier (external hash table) ────────────────────────────── + +/-- Proxy classify using an externally-provided hash-to-shape table. + The table must be generated per-dimension (the Python rebuild script + handles this for n=8 via rrc_pist_predictions_250_v1.json). -/ +def classifyProxy (hashTable : Int → Option String) (mat : Array (Array Int)) : Option String := + hashTable (hashMatrix 8 mat) + +/- Exact classifier via spectral radius. Dimension-independent. -/ +def classifyExact (n : Nat) (mat : Array (Array Int)) : Option String := + let profile := computeSpectral n mat + let lam := profile.adjacency_eigenvalue_max.toInt + colorToShapeName (spectralRadiusToColor lam) + +/-- Canonical 8×8 hash-to-shape table. + Generated from the hardcoded lookup table in SilverSight.PIST.Classify. + Maps `hashMatrix 8` values to PIST shape names. -/ +def hashTable8 : Int → Option String := + fun h => match h with + | 0 => some "CognitiveLoadField" + | 25 => some "CognitiveLoadField" + | 125 => some "CognitiveLoadField" + | 625 => some "CognitiveLoadField" + | 78125 => some "SignalShapedRouteCompiler" + | 390625 => some "CognitiveLoadField" + | 1953125 => some "SignalShapedRouteCompiler" + | 9765625 => some "ProjectableGeometryTopology" + | 48828125 => some "ProjectableGeometryTopology" + | 244140625 => some "SignalShapedRouteCompiler" + | 30517578125 => some "ProjectableGeometryTopology" + | 152587890625 => some "ProjectableGeometryTopology" + | 152587968750 => some "ProjectableGeometryTopology" + | 3814697265625 => some "SignalShapedRouteCompiler" + | 19073496093750 => some "CognitiveLoadField" + | 476837158203150 => some "CadForceProbeReceipt" + | 2384185791015625 => some "ProjectableGeometryTopology" + | 11920928955078125 => some "ProjectableGeometryTopology" + | 59604644775390626 => some "ProjectableGeometryTopology" + | 59604644824218750 => some "CognitiveLoadField" + | 298023223876953125 => some "ProjectableGeometryTopology" + | 1490116119384765625 => some "ProjectableGeometryTopology" + | 1490211486816406250 => some "ProjectableGeometryTopology" + | 1502037048339843750 => some "CognitiveLoadField" + | 7450580596923828125 => some "ProjectableGeometryTopology" + | 7510185241699218875 => some "ProjectableGeometryTopology" + | 37252902984619140625 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 186264514923095703125 => some "ProjectableGeometryTopology" + | 931322574615478515625 => some "ProjectableGeometryTopology" + | 4656612873077392578125 => some "CognitiveLoadField" + | 4656612873077441406250 => some "CognitiveLoadField" + | 23283064365386962890625 => some "ProjectableGeometryTopology" + | 23283064365386962890626 => some "ProjectableGeometryTopology" + | 23283064365386962890630 => some "CognitiveLoadField" + | 23283064365386962890750 => some "SignalShapedRouteCompiler" + | 23320317268371582031250 => some "SignalShapedRouteCompiler" + | 116415321826934814453125 => some "SignalShapedRouteCompiler" + | 116415321826965576171875 => some "SignalShapedRouteCompiler" + | 582076609135443115234375 => some "CognitiveLoadField" + | 582076621055603027343750 => some "CognitiveLoadField" + | 2910383343696594482421875 => some "CognitiveLoadField" + | 2910420298576354980468750 => some "CognitiveLoadField" + | 14575198292732238769531250 => some "SignalShapedRouteCompiler" + | 17462298274040222167968750 => some "SignalShapedRouteCompiler" + | 72759576141929626464843750 => some "CognitiveLoadField" + | 363797917962074279785156250 => some "CognitiveLoadField" + | 9094947017729282379150390625 => some "CognitiveLoadField" + | 9094947017729759216308593750 => some "ProjectableGeometryTopology" + | 9094947203993797302246093750 => some "SignalShapedRouteCompiler" + | 45474735088646411895751953125 => some "ProjectableGeometryTopology" + | 45474735088646412048339846876 => some "CognitiveLoadField" + | 45547494664788246155029687500 => some "CognitiveLoadField" + | 227373675443232059478759765625 => some "SignalShapedRouteCompiler" + | 227373675443232060241699609375 => some "ProjectableGeometryTopology" + | 227373675443232063293457031250 => some "ProjectableGeometryTopology" + | 227373675443234443664550781250 => some "CognitiveLoadField" + | 227446435019376277923828125000 => some "CognitiveLoadField" + | 5684341886080801486968994140625 => some "ProjectableGeometryTopology" + | 5684414668940007686615234375000 => some "CognitiveLoadField" + | 28421709430404007911682128906250 => some "CognitiveLoadField" + | 28421709430405498027801513671875 => some "CognitiveLoadField" + | 56843418860808014869689941406250 => some "CognitiveLoadField" + | 56843491620384156703949218750000 => some "CognitiveLoadField" + | 142108547152020037174226074218750 => some "ProjectableGeometryTopology" + | 142108547152021527767181396484375 => some "CognitiveLoadField" + | 170530256582424044609069824218750 => some "CognitiveLoadField" + | 710542735760100185871124267578125 => some "ProjectableGeometryTopology" + | 3552713678800500929355621337890750 => some "CognitiveLoadField" + | 3552713678800500929355621337893750 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 3694822225952520966529846191409375 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 17763568394002504646778106689453125 => some "ProjectableGeometryTopology" + | 17763568394002504646778106689468750 => some "ProjectableGeometryTopology" + | 17763568394002504646778106933593750 => some "ProjectableGeometryTopology" + | 17763568394002504646778107910156250 => some "ProjectableGeometryTopology" + | 17905676941154524683952331542971875 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 17905677013914100825786590820312500 => some "SignalShapedRouteCompiler" + | 88817841970012523233890533447265625 => some "ProjectableGeometryTopology" + | 88817841970594599845409393554687500 => some "SignalShapedRouteCompiler" + | 88817842333810441195964813232421875 => some "SignalShapedRouteCompiler" + | 88959950517164543271064758300784375 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 444089209850062616169452667236328125 => some "CognitiveLoadField" + | 444231318397214636206626892089846875 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 2220446049250313080847263336181640625 => some "ProjectableGeometryTopology" + | 2220446049250313080849647521972656250 => some "SignalShapedRouteCompiler" + | 2220588157797465100884437561035159375 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 11102372354798717424273490905761721875 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 55511151231257827021183967590341796875 => some "CognitiveLoadField" + | 55511293339804979041218757629394534375 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 277555756156289135105907917022705078125 => some "CognitiveLoadField" + | 277555898264836287125945091247558596875 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 1387778780781445675529539585113525391250 => some "HoldForUnlawfulOrUnderspecifiedShape" + | 1387778780781445680186152458190917968750 => some "CognitiveLoadField" + | 1387778780781446257606160640716552734375 => some "CognitiveLoadField" + | 1387778780783264664933085441589355468750 => some "CognitiveLoadField" + | 1387779491324181435629725456237792968750 => some "CognitiveLoadField" + | 6938893903907228377647697925567628906250 => some "SignalShapedRouteCompiler" + | 173472347597680709441192448139190673828125 => some "ProjectableGeometryTopology" + | 173472347597680709441229701042175292968750 => some "ProjectableGeometryTopology" + | 867361737988403547205963742733001708984375 => some "CognitiveLoadField" + | 867361737988405366195403039455413818359375 => some "CognitiveLoadField" + | 867361738698946282966062426567077636718750 => some "CognitiveLoadField" + | 4336808689947702077915892004966735839843750 => some "SignalShapedRouteCompiler" + | 4337086245698174025164917111396789550781250 => some "ProjectableGeometryTopology" + | 4337086245698174025164917113780975341796875 => some "ProjectableGeometryTopology" + | 8673617380594578207819722592830657958984375 => some "ProjectableGeometryTopology" + | 21684321005466244969284161925315856933593750 => some "SignalShapedRouteCompiler" + | 108420217248550443400745280086994171142578125 => some "ProjectableGeometryTopology" + | 108420217248550443400745280086994201660156250 => some "CognitiveLoadField" + | 108420217248550443400745280098915100097656250 => some "CognitiveLoadField" + | _ => none + +end SilverSight.PIST.ClassifyN diff --git a/formal/SilverSight/RRC/Q16_16Manifold.lean b/formal/SilverSight/RRC/Q16_16Manifold.lean new file mode 100644 index 00000000..d4211daf --- /dev/null +++ b/formal/SilverSight/RRC/Q16_16Manifold.lean @@ -0,0 +1,5040 @@ +-- SilverSight.RRC.Q16_16Manifold — AUTO-GENERATED by python/build_manifold.py +-- DO NOT EDIT BY HAND. Regenerate with: +-- python3 python/build_manifold.py +-- +-- Python role: raw feature extraction + matrix merge. +-- Lean role: PIST classification, alignment gate (determineAlignment), +-- receipt stamping, and all admissibility/promotion decisions. +-- +-- Source: rrc_equation_classifier_receipt.json +-- Matrices: rrc_pist_predictions_250_v1.json +-- Content hash (SHA-256): 93453a0b97cf5f630ff9b928388d2be5298620c1edfdf0b0d316b15c0306de7a +-- Equation count: 278 +-- +import SilverSight.RRC.Emit +import SilverSight.FixedPoint +import SilverSight.PIST.Classify +import SilverSight.PIST.ClassifyN +import SilverSight.PIST.Matrices250 + +namespace SilverSight.RRC.Q16_16Manifold + +open SilverSight.RRC.Emit +open SilverSight.FixedPoint +open SilverSight.RRCLogogramProjection +open SilverSight.ReceiptCore +open SilverSight.PIST.Matrices250 + +/-- Full 250-equation manifold from rrc_equation_classifier_receipt.json, + merged with 8×8 braid adjacency matrices from + rrc_pist_predictions_250_v1.json. + Each row carries raw features only; the alignment gate in + SilverSight.RRC.Emit.emitCorpus makes all admissibility decisions. -/ +def allFixtures : List FixtureRow := [ + { equationId := "rrc_eq_01ab6e9c32652d06" + name := "historical_emotional_temperature" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_01ab6e9c32652d06") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_01ab6e9c32652d06") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_01f85e831660c26e" + name := "historical_offload_efficiency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_01f85e831660c26e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_01f85e831660c26e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_0252524b379eac41" + name := "extracted_md_equation_21" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0252524b379eac41") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0252524b379eac41") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_03c5ca134c799e06" + name := "Wave_Packet_State" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_03c5ca134c799e06") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_03c5ca134c799e06") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_04ac9264dcd7c6c1" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_04ac9264dcd7c6c1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_04ac9264dcd7c6c1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_05370b4783a8bd6a" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_05370b4783a8bd6a") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_05370b4783a8bd6a") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_05407e13b79c062b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_05407e13b79c062b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_05407e13b79c062b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_0606dcb042ba0e6f" + name := "MOF_CO2_Reduction_Formic_Acid" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_0606dcb042ba0e6f" + name := "Microgrid_Voxel_Emulation" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_0606dcb042ba0e6f" + name := "Pressure_Ionization" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0606dcb042ba0e6f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt", "exp"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_068487b9141c4fb6" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_068487b9141c4fb6") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_068487b9141c4fb6") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_079917209598b9e1" + name := "promotion_rule" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_079917209598b9e1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_079917209598b9e1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 41 100 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_07b0a4a6f75d86b4" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_07b0a4a6f75d86b4") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_07b0a4a6f75d86b4") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_07bd7750aa9c1698" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_07bd7750aa9c1698") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_07bd7750aa9c1698") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_0abce0721f473201" + name := "trauma_adjusted_emotional_temperature" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0abce0721f473201") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0abce0721f473201") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_0d19ee61a2cd8497" + name := "Structure_Yield" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0d19ee61a2cd8497") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0d19ee61a2cd8497") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_0ddb4aae4fd1d8d5" + name := "extracted_md_equation_33" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0ddb4aae4fd1d8d5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0ddb4aae4fd1d8d5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_0edd7758873784a5" + name := "prune_rule" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_0edd7758873784a5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_0edd7758873784a5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_1038b814e5a78435" + name := "target_domain" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1038b814e5a78435") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1038b814e5a78435") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_10c072664568b78d" + name := "Fractal_Occupancy" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_10c072664568b78d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_10c072664568b78d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_10dfe03d2d21bf90" + name := "Coffin_Manson_Fatigue" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_10dfe03d2d21bf90") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_10dfe03d2d21bf90") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "definition" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_114c66f1878ac7b8" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_114c66f1878ac7b8") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_114c66f1878ac7b8") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_12d5519ce1a35889" + name := "Complete_Weight_5Factor" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_12d5519ce1a35889") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_12d5519ce1a35889") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt", "exp"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_12d678b6dc94f9d6" + name := "extracted_md_equation_20" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_12d678b6dc94f9d6") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_12d678b6dc94f9d6") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_131b32c8ed70796c" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_131b32c8ed70796c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_131b32c8ed70796c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_14fd73dcf1af02b8" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_14fd73dcf1af02b8") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_14fd73dcf1af02b8") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_1523798f49d3e916" + name := "extracted_md_equation_6" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1523798f49d3e916") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1523798f49d3e916") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_16a8e172297c28a7" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_16a8e172297c28a7") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_16a8e172297c28a7") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_17cb89b04d825252" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_17cb89b04d825252") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_17cb89b04d825252") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_181e73a390899053" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_181e73a390899053") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_181e73a390899053") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_185011f4d6cf6a2b" + name := "MOF_CO2_Reduction_6e_Methanol" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_185011f4d6cf6a2b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_185011f4d6cf6a2b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_185011f4d6cf6a2b" + name := "Energy_Recovery_Efficiency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_185011f4d6cf6a2b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_185011f4d6cf6a2b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_E_VERIFICATION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_1975033c8fbea2a4" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1975033c8fbea2a4") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1975033c8fbea2a4") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_1b1de15c4bbf2d2e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1b1de15c4bbf2d2e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1b1de15c4bbf2d2e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_1d0a752af1946515" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1d0a752af1946515") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1d0a752af1946515") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_1f12deb00ad16d8f" + name := "Reachable_State_Space" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1f12deb00ad16d8f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1f12deb00ad16d8f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["geometry_topology", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_1f5af7e9fb2b518f" + name := "Irreversibility_Metric" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1f5af7e9fb2b518f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1f5af7e9fb2b518f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_1f912c8afa928326" + name := "LASSO_MOGAT_Attention_Coefficient" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "softmax", "relu"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_1f912c8afa928326" + name := "Unified_Shader_GCL_Audio_Stack" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_1f912c8afa928326" + name := "Routing_Load_LR" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1f912c8afa928326") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_1fe1cbc05827ec00" + name := "RISCV_Instruction_Latency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_1fe1cbc05827ec00") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_1fe1cbc05827ec00") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_20b0dce68b1ff729" + name := "Entropy_Generation_Rate" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_20b0dce68b1ff729") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_20b0dce68b1ff729") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_E_VERIFICATION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_20f6a9ed1c2675da" + name := "Line_Element" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_20f6a9ed1c2675da") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_20f6a9ed1c2675da") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_217148f607dfe5ff" + name := "Phase_Accumulation" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_217148f607dfe5ff") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_217148f607dfe5ff") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_K_SIGNAL" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_21c2954626a5661d" + name := "kNN_MI_Prediction" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_21c2954626a5661d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_21c2954626a5661d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_251255e3132f5533" + name := "Temporal_Weight" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_251255e3132f5533") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_251255e3132f5533") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_25d3e2f91df8c0a0" + name := "Arrhenius_Temperature_Factor" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_25d3e2f91df8c0a0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_25d3e2f91df8c0a0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt", "exp"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_282beac067cdee85" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_282beac067cdee85") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_282beac067cdee85") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_295fb47f2cd6ddfb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_295fb47f2cd6ddfb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_295fb47f2cd6ddfb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_296f8ca4495edd26" + name := "field_mapping" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_296f8ca4495edd26") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_296f8ca4495edd26") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["magnetic_signal", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=magnetic_signal;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_2c1d4c645f0025fb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2c1d4c645f0025fb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2c1d4c645f0025fb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_2ee35bd32d933ac7" + name := "counted_total" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2ee35bd32d933ac7") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2ee35bd32d933ac7") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 23 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_2ee9bc98d2a7c773" + name := "Non_Euclidean_Distance" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2ee9bc98d2a7c773") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2ee9bc98d2a7c773") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_2efd637f1e4bd389" + name := "trauma_adjusted_emotional_barrier" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2efd637f1e4bd389") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2efd637f1e4bd389") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_2f24d8cc16590af0" + name := "extracted_md_equation_17" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2f24d8cc16590af0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2f24d8cc16590af0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_2f44e729b9d25d34" + name := "Temporal_Evolution" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2f44e729b9d25d34") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2f44e729b9d25d34") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_2f9d4e3b2060b799" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_2f9d4e3b2060b799") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_2f9d4e3b2060b799") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_310ec3a93d82b04e" + name := "Mu_Seed_Cardinality" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_310ec3a93d82b04e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_310ec3a93d82b04e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_3305fd3254a89e5b" + name := "extracted_md_equation_24" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3305fd3254a89e5b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3305fd3254a89e5b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_35e1c2bc2da6d854" + name := "overflow_gate" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_35e1c2bc2da6d854") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_35e1c2bc2da6d854") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["control_signal", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_3654d8cd243cde2b" + name := "extracted_md_equation_26" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3654d8cd243cde2b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3654d8cd243cde2b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_372fdc0c8b995ef2" + name := "source_equation_surface" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_372fdc0c8b995ef2") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_372fdc0c8b995ef2") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_3823a73f30463f6e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3823a73f30463f6e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3823a73f30463f6e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_39d59d35fd9672a0" + name := "Rotational_Alignment" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_39d59d35fd9672a0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_39d59d35fd9672a0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_3a60fca57229c15b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3a60fca57229c15b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3a60fca57229c15b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_3ad1c4d008fc910b" + name := "Blacks_Equation_EM" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3ad1c4d008fc910b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3ad1c4d008fc910b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt", "exp"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_3c97cd0a63059c60" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3c97cd0a63059c60") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3c97cd0a63059c60") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_3db7a0150185b5a1" + name := "Spatial_Proximity" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3db7a0150185b5a1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3db7a0150185b5a1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt", "exp"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_3e634eac50426ea3" + name := "field_mapping" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3e634eac50426ea3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3e634eac50426ea3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["magnetic_signal", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=magnetic_signal;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_3e9910b639adf295" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3e9910b639adf295") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3e9910b639adf295") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_3ed73c5849372e40" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3ed73c5849372e40") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3ed73c5849372e40") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_3f87b53694e706e9" + name := "extracted_md_equation_3" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3f87b53694e706e9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3f87b53694e706e9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_3f87d2c06726bc30" + name := "core_equations" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3f87d2c06726bc30") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3f87d2c06726bc30") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "exp", "log", "max", "sigmoid"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_3fbf8213151eae2f" + name := "Remaining_Useful_Life" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3fbf8213151eae2f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3fbf8213151eae2f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_3fc5864a199b7aa9" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_3fc5864a199b7aa9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_3fc5864a199b7aa9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_434ad4a173c4cb24" + name := "extracted_md_equation_31" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_434ad4a173c4cb24") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_434ad4a173c4cb24") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_4430cc5b9ebb8311" + name := "Waveprobe_Heat_Evolution" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4430cc5b9ebb8311") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4430cc5b9ebb8311") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_F_CONTROL" + boundaryConds := "control_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_45606d1f25dd6aa5" + name := "COUCH_Equation" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_45606d1f25dd6aa5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_45606d1f25dd6aa5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["chaotic_couch", "compression_route_prior"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=chaotic_couch;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_45606d1f25dd6aa5" + name := "Coupling_Weight" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_45606d1f25dd6aa5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_45606d1f25dd6aa5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_45b2907bd442578f" + name := "Tuning_Range" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_45b2907bd442578f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_45b2907bd442578f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_4795802d1dfe8dc9" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4795802d1dfe8dc9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4795802d1dfe8dc9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_4b0eb5baf8d88582" + name := "extracted_md_equation_12" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4b0eb5baf8d88582") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4b0eb5baf8d88582") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_4b6cfeff599d0583" + name := "extracted_md_equation_39" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4b6cfeff599d0583") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4b6cfeff599d0583") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_4c87c96f612f6100" + name := "Stamp_Code" + shape := .logogramProjection + status := .hold + rrcKind := "logogram_projection" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4c87c96f612f6100") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4c87c96f612f6100") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 11 25 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "logogram_projection"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=LogogramProjection" }, + { equationId := "rrc_eq_4cab00eaeac59782" + name := "Thermodynamic_Depth" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4cab00eaeac59782") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4cab00eaeac59782") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_4d8a407792ae463c" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_4d8a407792ae463c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_4d8a407792ae463c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_50659e00428d753c" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_50659e00428d753c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_50659e00428d753c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_5193efd26258bc51" + name := "UQGET_Hubble_Tension" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5193efd26258bc51") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5193efd26258bc51") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "geometric_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_5281edbc9d70f191" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5281edbc9d70f191") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5281edbc9d70f191") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_535b43060096e699" + name := "Multiphasic_Allometry_LogLog_Scaling" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_535b43060096e699" + name := "Unified_Cartridge_Controller_Stack" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_535b43060096e699" + name := "Memory_Load_LM" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_535b43060096e699") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_56bc9e8becb7bcba" + name := "Throat_Condition" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_56bc9e8becb7bcba") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_56bc9e8becb7bcba") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_56d979e780ead00b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_56d979e780ead00b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_56d979e780ead00b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_57188e85cab23a67" + name := "extracted_md_equation_38" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_57188e85cab23a67") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_57188e85cab23a67") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_59c14acaba40cdc9" + name := "DAG_Global_Validity" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_59c14acaba40cdc9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_59c14acaba40cdc9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_5a01598605abcd3f" + name := "extracted_md_equation_2" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5a01598605abcd3f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5a01598605abcd3f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_5d1fa53e2bceba76" + name := "extracted_md_equation_5" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5d1fa53e2bceba76") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5d1fa53e2bceba76") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_5d39c74f1cbc3aab" + name := "effective_cognitive_load" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5d39c74f1cbc3aab") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5d39c74f1cbc3aab") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_5e10957e0cbb9de8" + name := "magnetic_projection" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5e10957e0cbb9de8") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5e10957e0cbb9de8") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "sigmoid"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_5ece89b86c865faf" + name := "extracted_md_equation_18" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_5ece89b86c865faf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_5ece89b86c865faf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_603b460ebf696fbb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_603b460ebf696fbb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_603b460ebf696fbb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_613c8a56dee0f83a" + name := "Exact_Int_to_FP_Cast" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_613c8a56dee0f83a") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_613c8a56dee0f83a") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_64f81fa3c4725d4e" + name := "UQGET_Structure_Tension" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_64f81fa3c4725d4e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_64f81fa3c4725d4e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "geometric_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_64f81fa3c4725d4e" + name := "Intrinsic_Load_LI" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_64f81fa3c4725d4e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_64f81fa3c4725d4e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_66f6066b3fb74fcb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_66f6066b3fb74fcb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_66f6066b3fb74fcb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_673652a4317dd847" + name := "target_domain" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_673652a4317dd847") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_673652a4317dd847") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_685a03c6c1db609e" + name := "Thermodynamic_Length" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_685a03c6c1db609e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_685a03c6c1db609e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_685a969028ff5c50" + name := "extracted_md_equation_10" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_685a969028ff5c50") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_685a969028ff5c50") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_68ac9a041d842bcf" + name := "Christoffel_Symbols_2D" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_68ac9a041d842bcf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_68ac9a041d842bcf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_68bc5f8d951cef23" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_68bc5f8d951cef23") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_68bc5f8d951cef23") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "log"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_6a952cb84d6e1fbf" + name := "extracted_md_equation_15" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6a952cb84d6e1fbf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6a952cb84d6e1fbf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_6abda80c652b80c8" + name := "Energy_Monotonicity_Theorem" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6abda80c652b80c8") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6abda80c652b80c8") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["thermodynamic_energy", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_H_ALGEBRA" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_6d33c14a88eb0a12" + name := "LASSO_MOGAT_GAT_Propagation" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_6d33c14a88eb0a12" + name := "NES_OISC_GCL_LUT_Architecture" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_6d33c14a88eb0a12" + name := "Germane_Load_LG" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6d33c14a88eb0a12") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "log"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_6dcfafa9019b29a2" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6dcfafa9019b29a2") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6dcfafa9019b29a2") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_6f8b200d29180003" + name := "lower_bound" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_6f8b200d29180003") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_6f8b200d29180003") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_7076f5bdea119531" + name := "DAG_Force_Equilibrium" + shape := .cadForceProbeReceipt + status := .hold + rrcKind := "cad_force_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7076f5bdea119531") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7076f5bdea119531") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["cad_force", "cad_force_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=cad_force;shape=CadForceProbeReceipt" }, + { equationId := "rrc_eq_7106bb20125b3d6f" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7106bb20125b3d6f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7106bb20125b3d6f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_71dd02d32f3e59b0" + name := "Mutual_Information_Extracted" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_71dd02d32f3e59b0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_71dd02d32f3e59b0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_72b416376f1bf5b0" + name := "threshold" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_72b416376f1bf5b0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_72b416376f1bf5b0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 11 25 + scaleBandDeclared := Q16_16.ofRatio 3 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_74c2bb3396094843" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_74c2bb3396094843") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_74c2bb3396094843") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_7533d46cedd4a4c5" + name := "Work_Extraction" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7533d46cedd4a4c5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7533d46cedd4a4c5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_75b10c1207c769bb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_75b10c1207c769bb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_75b10c1207c769bb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_7731084327989290" + name := "Homeostatic_Stress_Injection" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7731084327989290") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7731084327989290") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt", "max"] + invariantsDeclared := "LAYER_E_VERIFICATION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_774c019464fd328c" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_774c019464fd328c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_774c019464fd328c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_77bd06f725c27b4d" + name := "Stereographic_Chart_Transition" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_77bd06f725c27b4d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_77bd06f725c27b4d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_78fb56a55b615659" + name := "Photon_Energy" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_78fb56a55b615659") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_78fb56a55b615659") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_795413454087e025" + name := "Temporal_Stability" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_795413454087e025") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_795413454087e025") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_7956fd7c6e98638a" + name := "Mutual_Information_Signal" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7956fd7c6e98638a") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7956fd7c6e98638a") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_7995b3bdb3f05ce3" + name := "Affine_Mapping_LTSF_Linear_Layer" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_7995b3bdb3f05ce3" + name := "Unified_Metaprobe_Collapse" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_7995b3bdb3f05ce3" + name := "Regret_Adjusted_Load" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7995b3bdb3f05ce3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_7a38c905340961db" + name := "extracted_md_equation_8" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7a38c905340961db") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7a38c905340961db") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_7cdf1c3e052e1f33" + name := "Metric_Tensor_From_Circumferences" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_7cdf1c3e052e1f33") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_7cdf1c3e052e1f33") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_8018bcedc9b84a9d" + name := "Surprise_Metric" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8018bcedc9b84a9d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8018bcedc9b84a9d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt", "log"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_80edc83f7fb3d80e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_80edc83f7fb3d80e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_80edc83f7fb3d80e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_810420419a4025f0" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_810420419a4025f0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_810420419a4025f0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_811d99697e055c2b" + name := "heat_loss" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_811d99697e055c2b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_811d99697e055c2b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "max"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_81ad5c64ecea2574" + name := "extracted_md_equation_34" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_81ad5c64ecea2574") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_81ad5c64ecea2574") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_82aaddc592cb524f" + name := "extracted_md_equation_14" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_82aaddc592cb524f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_82aaddc592cb524f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_84f94841b9e9578b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_84f94841b9e9578b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_84f94841b9e9578b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_8500000bbf612a0e" + name := "Affine_Mapping_Scaled_Periodic" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_8500000bbf612a0e" + name := "Palette_DSP_Slave" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8500000bbf612a0e" + name := "Pressure_Piling" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8500000bbf612a0e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_E_VERIFICATION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_85435dde0bcc5cfd" + name := "total_protective_load" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_85435dde0bcc5cfd") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_85435dde0bcc5cfd") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_86ccde7bfd669b77" + name := "bandwidth_adjusted_threshold" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_86ccde7bfd669b77") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_86ccde7bfd669b77") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_87b4887fb400c8c8" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_87b4887fb400c8c8") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_87b4887fb400c8c8") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_891a81dfc968f58e" + name := "MOF_CO2_Reduction_8e_Methane" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_891a81dfc968f58e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_891a81dfc968f58e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_891a81dfc968f58e" + name := "Q_Factor" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_891a81dfc968f58e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_891a81dfc968f58e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_E_VERIFICATION" + boundaryConds := "thermodynamic_bind" + templateKey := "definition" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8a05e2496e67848b" + name := "signal_load" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8a05e2496e67848b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8a05e2496e67848b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "log"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8a4d6790faf66d6b" + name := "source_domain" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8a4d6790faf66d6b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8a4d6790faf66d6b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_8acff8093805680f" + name := "extracted_md_equation_22" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8acff8093805680f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8acff8093805680f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_8b812bf47cc024b4" + name := "MOF_CO2_Reduction_2e_Electrochemistry" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8b812bf47cc024b4" + name := "Quad_Sampled_Scanlines" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8b812bf47cc024b4" + name := "Hugoniot_Temperature" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8b812bf47cc024b4") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_8beb9cc11e59ff37" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8beb9cc11e59ff37") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8beb9cc11e59ff37") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_8c569cbfc2385eab" + name := "magnetic_projection" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8c569cbfc2385eab") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8c569cbfc2385eab") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "sigmoid"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_8ffeff0c4877aa25" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_8ffeff0c4877aa25") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_8ffeff0c4877aa25") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_9064d88b17992de3" + name := "Trixal_Axes" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9064d88b17992de3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9064d88b17992de3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_90bbd1bf7d23655e" + name := "overflow_gate" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_90bbd1bf7d23655e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_90bbd1bf7d23655e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_9166088a2f79f059" + name := "SEU_BitFlip_Rate" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9166088a2f79f059") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9166088a2f79f059") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_931cb5c74aaade03" + name := "emotional_load" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_931cb5c74aaade03") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_931cb5c74aaade03") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 51 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_9781272a1dff3d7d" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9781272a1dff3d7d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9781272a1dff3d7d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_9817626505a4fedf" + name := "historical_emotional_barrier" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9817626505a4fedf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9817626505a4fedf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_982c784b74af6c5c" + name := "Interaction_Force" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_982c784b74af6c5c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_982c784b74af6c5c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_H_ALGEBRA" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_98b0599e8c46c1bf" + name := "Temporal_Force" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_98b0599e8c46c1bf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_98b0599e8c46c1bf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_9a468347631152ce" + name := "Multiphasic_Allometry_Quadratic" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_9a468347631152ce" + name := "Topological_NanoKernel_UART_Stack" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_9a468347631152ce" + name := "Total_Cognitive_Load" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9a468347631152ce") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_9c22fd7b336c5904" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9c22fd7b336c5904") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9c22fd7b336c5904") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_9c2c0d5c61628eb5" + name := "extracted_md_equation_16" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9c2c0d5c61628eb5") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9c2c0d5c61628eb5") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_9d1897c1a7967172" + name := "Atmospheric_Windows" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9d1897c1a7967172") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9d1897c1a7967172") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt", "exp"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_9d485a8333644b3b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9d485a8333644b3b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9d485a8333644b3b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_9f67a9105f9e0e3c" + name := "Chirality_Algebra" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_9f67a9105f9e0e3c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_9f67a9105f9e0e3c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_a109587e866701dc" + name := "Temporal_Entropy" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a109587e866701dc") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a109587e866701dc") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_a4348738394b0597" + name := "extracted_md_equation_0" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a4348738394b0597") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a4348738394b0597") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a4adf8b5cc0e5c73" + name := "Affine_Mapping_Time_Series_Decomposition" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a4adf8b5cc0e5c73" + name := "Final_Unified_Math_Collapse" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_a4adf8b5cc0e5c73" + name := "Basin_Conditional_Load" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a4adf8b5cc0e5c73") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_a59af904a8ad739f" + name := "extracted_md_equation_11" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a59af904a8ad739f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a59af904a8ad739f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a5dae5efe3dc9a94" + name := "extracted_md_equation_7" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a5dae5efe3dc9a94") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a5dae5efe3dc9a94") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a5fbdc2a7f09759e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a5fbdc2a7f09759e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a5fbdc2a7f09759e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a91ed081e55a7adc" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a91ed081e55a7adc") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a91ed081e55a7adc") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_a91f2f772995a9b9" + name := "Total_Formal_State_Space" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a91f2f772995a9b9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a91f2f772995a9b9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_a9bdc40d07c74659" + name := "signal_load" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_a9bdc40d07c74659") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_a9bdc40d07c74659") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "log"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_aaddd26cf129e0ff" + name := "emotional_gate" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_aaddd26cf129e0ff") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_aaddd26cf129e0ff") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_aafdb23c6c8cb77a" + name := "Frame_Evolution_Continuous" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_aafdb23c6c8cb77a") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_aafdb23c6c8cb77a") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["thermodynamic_energy", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_H_ALGEBRA" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_ac1a7a22801b7d77" + name := "core_equations" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ac1a7a22801b7d77") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ac1a7a22801b7d77") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "exp", "log", "max", "sigmoid"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_ae70c43fd815392e" + name := "trauma_adjusted_offload_efficiency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ae70c43fd815392e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ae70c43fd815392e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_aef93abc672b8e29" + name := "extracted_md_equation_35" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_aef93abc672b8e29") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_aef93abc672b8e29") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b20eddced9a6b7da" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b20eddced9a6b7da") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b20eddced9a6b7da") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b2fc5edc90c4c538" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b2fc5edc90c4c538") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b2fc5edc90c4c538") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b639be44c38e19f1" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b639be44c38e19f1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b639be44c38e19f1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b650dd7bdbcd9bcb" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b650dd7bdbcd9bcb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b650dd7bdbcd9bcb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b720db642290ed9d" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b720db642290ed9d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b720db642290ed9d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "log"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b8bfc827c0fd3d28" + name := "Landauer_Limit" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b8bfc827c0fd3d28") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b8bfc827c0fd3d28") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_b97583b24c3b2936" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b97583b24c3b2936") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b97583b24c3b2936") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_b975f510c14227e3" + name := "Injection_Efficiency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b975f510c14227e3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b975f510c14227e3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_b9eb3119b4d99483" + name := "overflow_gate" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_b9eb3119b4d99483") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_b9eb3119b4d99483") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["control_signal", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_bb071a3f64f90363" + name := "extracted_md_equation_1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bb071a3f64f90363") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bb071a3f64f90363") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_bb62cba4864b0def" + name := "extracted_md_equation_9" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bb62cba4864b0def") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bb62cba4864b0def") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_bcd458bef84fe2a2" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bcd458bef84fe2a2") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bcd458bef84fe2a2") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_bd8bcf9cb663c096" + name := "Holonomy_Accumulation" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bd8bcf9cb663c096") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bd8bcf9cb663c096") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_bedb0334896533f3" + name := "extracted_md_equation_29" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bedb0334896533f3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bedb0334896533f3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_bf1b905e94089ddc" + name := "Gradient_Alignment" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bf1b905e94089ddc") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bf1b905e94089ddc") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_K_SIGNAL" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_bf9f2062b96a9d25" + name := "emotional_offload" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bf9f2062b96a9d25") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bf9f2062b96a9d25") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "max"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_bfd316d8427b2f6c" + name := "extracted_md_equation_19" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_bfd316d8427b2f6c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_bfd316d8427b2f6c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c221ccc2bc9ccc45" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c221ccc2bc9ccc45") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c221ccc2bc9ccc45") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c3dde450e7ce933a" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c3dde450e7ce933a") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c3dde450e7ce933a") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c3f6aa5efce88262" + name := "Waveprobe_Risk_Function" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c3f6aa5efce88262") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c3f6aa5efce88262") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_F_CONTROL" + boundaryConds := "control_bind" + templateKey := "hold" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_c5417aae2492b416" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c5417aae2492b416") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c5417aae2492b416") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c56ffe8dd188e331" + name := "extracted_md_equation_23" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c56ffe8dd188e331") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c56ffe8dd188e331") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c57a3f3edc39ddd3" + name := "extracted_md_equation_25" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c57a3f3edc39ddd3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c57a3f3edc39ddd3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c5a00dead68e12a0" + name := "extracted_md_equation_4" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c5a00dead68e12a0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c5a00dead68e12a0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c704bc7e7c531303" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c704bc7e7c531303") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c704bc7e7c531303") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c8b7f0fe52ef32fe" + name := "Entropy_Gradient" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c8b7f0fe52ef32fe") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c8b7f0fe52ef32fe") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_H_ALGEBRA" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_c8d2e5596d91ebbd" + name := "Multiphasic_Allometry_Instantaneous_Slope" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "thermodynamic_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_c8d2e5596d91ebbd" + name := "NES_Sound_Line_DSP_Math" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_c8d2e5596d91ebbd" + name := "Cognitive_Efficiency" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_c8d2e5596d91ebbd") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_ca946ab1632d585c" + name := "Temperature_Tuning" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ca946ab1632d585c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ca946ab1632d585c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_cabf5eab335f2d23" + name := "bandwidth_overflow" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_cabf5eab335f2d23") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_cabf5eab335f2d23") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "max"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_cbefaa1738883221" + name := "extracted_md_equation_30" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_cbefaa1738883221") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_cbefaa1738883221") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_cc8b5f7c4742473c" + name := "Cascade_Gain" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_cc8b5f7c4742473c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_cc8b5f7c4742473c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_cd4dfc767616524d" + name := "Kolmogorov_Estimate" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_cd4dfc767616524d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_cd4dfc767616524d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_ce049f9298cfb095" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ce049f9298cfb095") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ce049f9298cfb095") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_cf576a1cfbd9da63" + name := "Shannon_Entropy" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_cf576a1cfbd9da63") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_cf576a1cfbd9da63") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_d07532a1db76d958" + name := "Carnot_Efficiency" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d07532a1db76d958") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d07532a1db76d958") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_d24270e4be19de76" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d24270e4be19de76") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d24270e4be19de76") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d356d2da175a4185" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d356d2da175a4185") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d356d2da175a4185") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d4e90c1cd69ef948" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d4e90c1cd69ef948") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d4e90c1cd69ef948") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d521b2282dde0c38" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d521b2282dde0c38") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d521b2282dde0c38") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d618a97b4f87abe9" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d618a97b4f87abe9") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d618a97b4f87abe9") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d726df3a6c9943ff" + name := "BLINK_GATE_Ternary_Clock" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d726df3a6c9943ff") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d726df3a6c9943ff") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["control_signal", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "control_bind" + templateKey := "definition" + templateParams := "route=control_signal;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_d75b1352c39fe13e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d75b1352c39fe13e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d75b1352c39fe13e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d76203fbca4e9b81" + name := "metastate_transfold" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d76203fbca4e9b81") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d76203fbca4e9b81") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["transfold", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_d767dc5b5996f6dc" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d767dc5b5996f6dc") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d767dc5b5996f6dc") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_d93085afc737effa" + name := "Energy_Function" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d93085afc737effa") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d93085afc737effa") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["thermodynamic_energy", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_d9785ef71690f60b" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_d9785ef71690f60b") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_d9785ef71690f60b") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_dd01aec7b2c20774" + name := "source_domain" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_dd01aec7b2c20774") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_dd01aec7b2c20774") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_dd3140340d9c9a33" + name := "Safe_Narrowing_Proof" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_dd3140340d9c9a33") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_dd3140340d9c9a33") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_decad728fbd76456" + name := "extracted_md_equation_13" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_decad728fbd76456") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_decad728fbd76456") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_def9542a5004dc68" + name := "extracted_md_equation_36" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_def9542a5004dc68") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_def9542a5004dc68") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_df9f885395884594" + name := "trauma_adjusted_threshold" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_df9f885395884594") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_df9f885395884594") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_e0ac7e1847f830a3" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e0ac7e1847f830a3") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e0ac7e1847f830a3") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e22543ef62f2494e" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e22543ef62f2494e") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e22543ef62f2494e") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e25b46d22b7ca0f1" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e25b46d22b7ca0f1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e25b46d22b7ca0f1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e2f1f1f142418961" + name := "Weighted_Feature_Distance" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e2f1f1f142418961") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e2f1f1f142418961") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "LAYER_B_ROUTING" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e43c6929cd3bc3bf" + name := "UQGET_Statistical_Fit" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "geometric_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_e43c6929cd3bc3bf" + name := "NES_GCL_Square_Wave_Compression" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_e43c6929cd3bc3bf" + name := "Extraneous_Load_LE" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e43c6929cd3bc3bf") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_e4b70a718fcfb1ab" + name := "Frame_Evolution_Discrete" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e4b70a718fcfb1ab") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e4b70a718fcfb1ab") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_H_ALGEBRA" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_e517db2c50e19613" + name := "hard_target_rule" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e517db2c50e19613") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e517db2c50e19613") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 1 2 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_e58f768224fb1bbe" + name := "BitFlip_Gradient_5D" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e58f768224fb1bbe") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e58f768224fb1bbe") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_D_INVARIANTS" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_e5f58db6423d2f9c" + name := "extracted_md_equation_27" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e5f58db6423d2f9c") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e5f58db6423d2f9c") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e672df600fa82b76" + name := "Multi_Factor_Coupling_Weight" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e672df600fa82b76") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e672df600fa82b76") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_e6a6d86ede20e5ad" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e6a6d86ede20e5ad") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e6a6d86ede20e5ad") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e6b902735f906c33" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e6b902735f906c33") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e6b902735f906c33") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_e9cff20a11527ba0" + name := "Geodesic_Step_Symplectic_Euler" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_e9cff20a11527ba0") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_e9cff20a11527ba0") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_ea1df518da53e850" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ea1df518da53e850") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ea1df518da53e850") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_ec7566b5d400a6fb" + name := "Subband_Spacing" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ec7566b5d400a6fb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ec7566b5d400a6fb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "physical_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_ecf3ddf7af735ee6" + name := "Thermodynamic_Entropy" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ecf3ddf7af735ee6") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ecf3ddf7af735ee6") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_ef9d2a2f3c8de320" + name := "extracted_md_equation_37" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_ef9d2a2f3c8de320") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_ef9d2a2f3c8de320") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_f010fb33997b8f51" + name := "Affine_Mapping_Periodic_Theorem" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_f010fb33997b8f51" + name := "Voltage_Computational_Substrate" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "informational_bind" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_f010fb33997b8f51" + name := "MoE_Predictor_Distribution" + shape := .signalShapedRouteCompiler + status := .hold + rrcKind := "compression_route_prior" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f010fb33997b8f51") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["cognitive_load", "compression_route_prior"] + invariantsDeclared := "LAYER_A_COMPRESSION" + boundaryConds := "informational_bind" + templateKey := "hold" + templateParams := "route=cognitive_load;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_f112b5836bdbd47d" + name := "Constitutive_Law" + shape := .cadForceProbeReceipt + status := .hold + rrcKind := "cad_force_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f112b5836bdbd47d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f112b5836bdbd47d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["cad_force", "cad_force_receipt"] + invariantsDeclared := "LAYER_C_BRAID" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=cad_force;shape=CadForceProbeReceipt" }, + { equationId := "rrc_eq_f26b20a02d1cf105" + name := "arXiv:2604.21919v1" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f26b20a02d1cf105") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f26b20a02d1cf105") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_f4249695d9de4adc" + name := "hutter_route_metastate" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f4249695d9de4adc") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f4249695d9de4adc") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 2 5 + residualRisk := Q16_16.ofRatio 3 10 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["compression_route", "compression_route_prior"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=compression_route;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_f46446cfb0f8d5b1" + name := "raw_cognitive_load" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f46446cfb0f8d5b1") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f46446cfb0f8d5b1") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 51 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_f5bb28753a2271dd" + name := "residual_stress" + shape := .cognitiveLoadField + status := .candidate + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f5bb28753a2271dd") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f5bb28753a2271dd") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 43 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["cognitive_load", "cognitive_field_receipt", "max"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "definition" + templateParams := "route=cognitive_load;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_f691b1b9f433854f" + name := "heat_loss" + shape := .signalShapedRouteCompiler + status := .candidate + rrcKind := "compression_route_prior" + weakAxesCnt := 0 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f691b1b9f433854f") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f691b1b9f433854f") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.ofRatio 1 5 + residualRisk := Q16_16.ofRatio 47 100 + scaleBandDeclared := Q16_16.ofRatio 2 5 + weakAxesNames := [] + operatorTokens := ["transfold", "compression_route_prior", "max"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "master_equation" + templateParams := "route=transfold;shape=SignalShapedRouteCompiler" }, + { equationId := "rrc_eq_f6ecffdb3a584bc6" + name := "Stress_Decay" + shape := .cognitiveLoadField + status := .hold + rrcKind := "cognitive_field_receipt" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f6ecffdb3a584bc6") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f6ecffdb3a584bc6") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["thermodynamic_energy", "cognitive_field_receipt"] + invariantsDeclared := "LAYER_G_ENERGY" + boundaryConds := "thermodynamic_bind" + templateKey := "hold" + templateParams := "route=thermodynamic_energy;shape=CognitiveLoadField" }, + { equationId := "rrc_eq_f9a9276cb08dd3bb" + name := "Cosine_Similarity" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_f9a9276cb08dd3bb") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_f9a9276cb08dd3bb") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_K_SIGNAL" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" }, + { equationId := "rrc_eq_fc46c7ee6a40460d" + name := "extracted_md_equation_32" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_fc46c7ee6a40460d") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_fc46c7ee6a40460d") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control", "exp"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_fe98a523c9c0b821" + name := "extracted_md_equation_28" + shape := .holdForUnlawfulOrUnderspecifiedShape + status := .hold + rrcKind := "negative_control" + weakAxesCnt := 1 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_fe98a523c9c0b821") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_fe98a523c9c0b821") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared"] + operatorTokens := ["negative_control"] + invariantsDeclared := "unknown" + boundaryConds := "unknown" + templateKey := "hold" + templateParams := "route=unclassified_equation;shape=HoldForUnlawfulOrUnderspecifiedShape" }, + { equationId := "rrc_eq_feea4fcff27bd600" + name := "Geodesic_Step_Verlet" + shape := .projectableGeometryTopology + status := .hold + rrcKind := "geometry_topology_receipt" + weakAxesCnt := 2 + pistProxyLabel := Option.bind (findMatrix "rrc_eq_feea4fcff27bd600") (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8) + pistExactLabel := Option.bind (findMatrix "rrc_eq_feea4fcff27bd600") (SilverSight.PIST.ClassifyN.classifyExact 8) + arxivPaperId := none + ncObserved := Q16_16.zero + residualRisk := Q16_16.ofRatio 27 50 + scaleBandDeclared := Q16_16.ofRatio 1 5 + weakAxesNames := ["scale_band_declared", "negative_control_strength"] + operatorTokens := ["geometry_topology", "geometry_topology_receipt"] + invariantsDeclared := "LAYER_C_TOPOLOGY" + boundaryConds := "geometric_bind" + templateKey := "hold" + templateParams := "route=geometry_topology;shape=ProjectableGeometryTopology" } +] + +end SilverSight.RRC.Q16_16Manifold diff --git a/lakefile.lean b/lakefile.lean index ed9ea71a..f5d19392 100644 --- a/lakefile.lean +++ b/lakefile.lean @@ -19,6 +19,7 @@ lean_lib «SilverSightFormal» where srcDir := "formal" roots := #[ `CoreFormalism.FixedPoint, + `SilverSight.FixedPointBridge, `CoreFormalism.Tactics, `CoreFormalism.Q16_16Numerics, `CoreFormalism.DynamicCanal, @@ -27,6 +28,7 @@ lean_lib «SilverSightFormal» where `CoreFormalism.BraidStrand, `CoreFormalism.BraidCross, `CoreFormalism.BraidField, + `CoreFormalism.BraidStateN, `CoreFormalism.SidonSets, `CoreFormalism.SieveLemmas, `CoreFormalism.InteractionGraphSidon, @@ -59,8 +61,12 @@ lean_lib «SilverSightRRC» where `SilverSight.PhiConsistency, `SilverSight.PhiPipelineReceipt, `SilverSight.PIST.Spectral, + `SilverSight.PIST.SpectralN, + `SilverSight.PIST.MatrixN, `SilverSight.PIST.FisherRigidity, + `SilverSight.PIST.FisherRigidityN, `SilverSight.PIST.Classify, + `SilverSight.PIST.ClassifyN, `SilverSight.PIST.Matrices250, `SilverSight.PIST.UnifiedCovariant, `SilverSight.PIST.CartanConnection, @@ -74,7 +80,7 @@ lean_lib «SilverSightRRC» where `SilverSight.RRC.ReceiptDensity, `SilverSight.RRC.PolyFactorIdentity, `SilverSight.RRC.EntropyCandidates, - `SilverSight.RRC.Corpus250, + `SilverSight.RRC.Q16_16Manifold, `SilverSight.AVMIsa.Types, `SilverSight.AVMIsa.Value, `SilverSight.AVMIsa.Instr, @@ -87,6 +93,9 @@ lean_lib «SilverSightRRC» where `SilverSight.AdjugateMatrix, `SilverSight.ColdReviewer, `SilverSight.Rollup, + `SilverSight.FeasibleSet.Theorem, + `SilverSight.FeasibleSet.QUBORelaxation, + `SilverSight.CollectiveIntelligence.CostTransparency, `RRCLib.RRCEmit ] diff --git a/python/build_manifold.py b/python/build_manifold.py new file mode 100644 index 00000000..6612b107 --- /dev/null +++ b/python/build_manifold.py @@ -0,0 +1,258 @@ +#!/usr/bin/env python3 +# /// script +# requires-python = ">=3.10" +# dependencies = [] +# /// +""" +Build formal/SilverSight/RRC/Q16_16Manifold.lean from +archive/experimental-shim-probes/rrc_equation_classifier_receipt.json, +merged with 8×8 braid adjacency matrices from +shared-data/rrc_pist_predictions_250_v1.json. + +Python's role: + - read raw features from the classifier receipt + - merge matrices by invariant_receipt.object_id + - emit deterministic Lean source + +Lean's role: + - PIST classification (classifyProxy/classifyExact) from the matrix + - alignment gate via determineAlignment + - receipt stamping and all admissibility/promotion decisions + +Usage: + python3 python/build_manifold.py + python3 python/build_manifold.py \ + --receipt /path/to/rrc_equation_classifier_receipt.json \ + --predictions /path/to/rrc_pist_predictions_250_v1.json \ + --out-lean formal/SilverSight/RRC/Q16_16Manifold.lean +""" +from __future__ import annotations +import argparse, hashlib, json, sys +from pathlib import Path + + +# classifier JSON shape name → SilverSight.RRCLogogramProjection.RRCShape constructor +SHAPE_MAP = { + "CognitiveLoadField": ".cognitiveLoadField", + "SignalShapedRouteCompiler": ".signalShapedRouteCompiler", + "ProjectableGeometryTopology": ".projectableGeometryTopology", + "CadForceProbeReceipt": ".cadForceProbeReceipt", + "LogogramProjection": ".logogramProjection", + "HoldForUnlawfulOrUnderspecifiedShape": ".holdForUnlawfulOrUnderspecifiedShape", +} + + +def template_key(rrc_kind: str, status: str) -> str: + """Map rrc_kind + classifier status to a page-generator template key.""" + if status == "HOLD": + return "hold" + kind_map = { + "cognitive_field_receipt": "definition", + "compression_route_prior": "master_equation", + "geometry_topology_receipt": "definition", + "cad_force_receipt": "gate", + "logogram_projection": "receipt", + "negative_control": "hold", + } + return kind_map.get(rrc_kind, "definition") + + +def operator_tokens(er: dict) -> list[str]: + """Derive operator/domain tokens from route_hint, rrc_kind, and equation text.""" + tokens = [] + rh = (er.get("route_hint_non_authoritative") or "").strip() + rk = (er.get("rrc_kind") or "").strip() + if rh and rh != "unclassified_equation": + tokens.append(rh) + if rk: + tokens.append(rk) + eq_text = (er.get("equation") or "").lower() + for op in ["exp(", "log(", "max(", "min(", "sum(", "integral", "derivative", + "laplacian", "nabla", "div(", "curl(", "sigmoid", "softmax", + "tanh(", "relu(", "norm(", "dot(", "cross("]: + if op in eq_text: + tokens.append(op.rstrip("(")) + return list(dict.fromkeys(tokens)) + + +def lean_str(s: str) -> str: + s = s.replace("\\", "\\\\").replace('"', '\\"') + return f'"{s}"' + + +def lean_opt(s: str | None) -> str: + return "none" if s is None else f"some {lean_str(s)}" + + +def lean_q16_16(val: float) -> str: + """Convert a float in [0,1] to a Q16_16 Lean literal via exact rational.""" + if val == 0.0: + return "Q16_16.zero" + from fractions import Fraction + f = Fraction(val).limit_denominator(100) + return f"Q16_16.ofRatio {f.numerator} {f.denominator}" + + +def lean_str_list(xs: list[str]) -> str: + return "[" + ", ".join(lean_str(x) for x in xs) + "]" + + +def load_matrices(path: Path) -> dict[str, list[list[int]]]: + """Load predictions JSON into equation_id → matrix lookup.""" + if not path.exists(): + return {} + data = json.loads(path.read_text()) + return { + p.get("equation_id", ""): p.get("matrix_8x8", []) + for p in data.get("predictions", []) + if p.get("equation_id") + } + + +def main() -> int: + parser = argparse.ArgumentParser(description="Generate SilverSight RRC Q16_16Manifold.lean") + parser.add_argument( + "--receipt", + type=Path, + default=Path("/home/allaun/Research Stack/archive/experimental-shim-probes/rrc_equation_classifier_receipt.json"), + help="Path to rrc_equation_classifier_receipt.json", + ) + parser.add_argument( + "--predictions", + type=Path, + default=Path("/home/allaun/Research Stack/shared-data/rrc_pist_predictions_250_v1.json"), + help="Path to rrc_pist_predictions_250_v1.json", + ) + parser.add_argument( + "--out-lean", + type=Path, + default=Path("formal/SilverSight/RRC/Q16_16Manifold.lean"), + help="Output Lean module path", + ) + args = parser.parse_args() + + receipt = json.loads(args.receipt.read_text()) + eqs = receipt.get("compiled_equations", []) + matrices = load_matrices(args.predictions) + print(f"Loaded {len(eqs)} equations and {len(matrices)} matrices", file=sys.stderr) + + # Deterministic order by equation_id. + eqs_sorted = sorted(eqs, key=lambda eq: eq.get("invariant_receipt", {}).get("object_id", "")) + + # Content hash over the raw corpus data for reproducibility. + content_blob = json.dumps( + [ + { + "object_id": eq.get("invariant_receipt", {}).get("object_id"), + "name": eq.get("equation_record", {}).get("name"), + "shape": eq.get("invariant_receipt", {}).get("shape"), + "status": eq.get("invariant_receipt", {}).get("status"), + "matrix": matrices.get(eq.get("invariant_receipt", {}).get("object_id", "")), + } + for eq in eqs_sorted + ], + sort_keys=True, + separators=(",", ":"), + ).encode("utf-8") + content_hash = hashlib.sha256(content_blob).hexdigest() + + rows: list[str] = [] + for eq in eqs_sorted: + er = eq["equation_record"] + ir = eq["invariant_receipt"] + tw = eq["type_witness"] + + eq_id = ir.get("object_id", "") + name = er.get("name", "") + shape_str = ir.get("shape", "HoldForUnlawfulOrUnderspecifiedShape") + lean_shape = SHAPE_MAP.get(shape_str, ".holdForUnlawfulOrUnderspecifiedShape") + status_str = ir.get("status", "HOLD") + lean_status = ".candidate" if status_str == "CANDIDATE" else ".hold" + rrc_kind = er.get("rrc_kind", "") + weak_cnt = len(tw.get("missing_or_weak_axes") or []) + + # Manifold coordinates for negative control witness (Q16_16) + coords = eq.get("manifold_projection", {}).get("coordinates", {}) + nc_strength = coords.get("negative_control_strength", 0.0) + residual_risk = coords.get("residual_risk", 0.0) + scale_band = coords.get("scale_band_declared", 0.0) + weak_axes = tw.get("missing_or_weak_axes") or [] + + op_tokens = operator_tokens(er) + inv_declared = (er.get("domain_type") or "unknown").strip() or "unknown" + bound_conds = (er.get("bind_class") or "unknown").strip() or "unknown" + t_key = template_key(rrc_kind, status_str) + route_hint = er.get("route_hint_non_authoritative") or "unclassified_equation" + t_params = f"route={route_hint};shape={shape_str}" + arxiv_pid = (er.get("arxiv_paper_id") or "").strip() or None + + rows.append( + f" {{ equationId := {lean_str(eq_id)}\n" + f" name := {lean_str(name)}\n" + f" shape := {lean_shape}\n" + f" status := {lean_status}\n" + f" rrcKind := {lean_str(rrc_kind)}\n" + f" weakAxesCnt := {weak_cnt}\n" + f" pistProxyLabel := Option.bind (findMatrix {lean_str(eq_id)}) (SilverSight.PIST.ClassifyN.classifyProxy SilverSight.PIST.ClassifyN.hashTable8)\n" + f" pistExactLabel := Option.bind (findMatrix {lean_str(eq_id)}) (SilverSight.PIST.ClassifyN.classifyExact 8)\n" + f" arxivPaperId := {lean_opt(arxiv_pid)}\n" + f" ncObserved := {lean_q16_16(nc_strength)}\n" + f" residualRisk := {lean_q16_16(residual_risk)}\n" + f" scaleBandDeclared := {lean_q16_16(scale_band)}\n" + f" weakAxesNames := {lean_str_list(weak_axes)}\n" + f" operatorTokens := {lean_str_list(op_tokens)}\n" + f" invariantsDeclared := {lean_str(inv_declared)}\n" + f" boundaryConds := {lean_str(bound_conds)}\n" + f" templateKey := {lean_str(t_key)}\n" + f" templateParams := {lean_str(t_params)} }}" + ) + + lines = [ + "-- SilverSight.RRC.Q16_16Manifold — AUTO-GENERATED by python/build_manifold.py", + "-- DO NOT EDIT BY HAND. Regenerate with:", + "-- python3 python/build_manifold.py", + "--", + "-- Python role: raw feature extraction + matrix merge.", + "-- Lean role: PIST classification, alignment gate (determineAlignment),", + "-- receipt stamping, and all admissibility/promotion decisions.", + "--", + "-- Source: rrc_equation_classifier_receipt.json", + "-- Matrices: rrc_pist_predictions_250_v1.json", + f"-- Content hash (SHA-256): {content_hash}", + f"-- Equation count: {len(rows)}", + "--", + "import SilverSight.RRC.Emit", + "import SilverSight.FixedPoint", + "import SilverSight.PIST.Classify", + "import SilverSight.PIST.ClassifyN", + "import SilverSight.PIST.Matrices250", + "", + "namespace SilverSight.RRC.Q16_16Manifold", + "", + "open SilverSight.RRC.Emit", + "open SilverSight.FixedPoint", + "open SilverSight.RRCLogogramProjection", + "open SilverSight.ReceiptCore", + "open SilverSight.PIST.Matrices250", + "", + "/-- Full 250-equation manifold from rrc_equation_classifier_receipt.json,", + " merged with 8×8 braid adjacency matrices from", + " rrc_pist_predictions_250_v1.json.", + " Each row carries raw features only; the alignment gate in", + " SilverSight.RRC.Emit.emitCorpus makes all admissibility decisions. -/", + "def allFixtures : List FixtureRow := [", + ",\n".join(rows), + "]", + "", + "end SilverSight.RRC.Q16_16Manifold", + "", + ] + + args.out_lean.parent.mkdir(parents=True, exist_ok=True) + args.out_lean.write_text("\n".join(lines)) + print(f"Wrote {args.out_lean} ({len(rows)} rows)", file=sys.stderr) + return 0 + + +if __name__ == "__main__": + sys.exit(main()) diff --git a/python/build_pist_matrices_250.py b/python/build_pist_matrices_250.py index 6a030cc0..42690bc9 100644 --- a/python/build_pist_matrices_250.py +++ b/python/build_pist_matrices_250.py @@ -96,10 +96,12 @@ def main() -> int: "", "namespace SilverSight.PIST.Matrices250", "", - "/-- 8×8 braid adjacency matrices keyed by invariant equation_id, stored as", - " an association list (key → matrix). Generated from", + "/-- All matrices in this list have dimension 8×8 (the canonical strand count).", + " Stored as association list (key → matrix). Generated from", " rrc_pist_predictions_250_v1.json.", f" Entries: {len(entries)}. -/", + f"def pistMatrixDim : Nat := 8", + "", "def pistMatrices250 : List (String × Array (Array Int)) :=", " [", ",\n".join(entries), diff --git a/scripts/cross_domain_significance.py b/scripts/cross_domain_significance.py new file mode 100644 index 00000000..2afd26e1 --- /dev/null +++ b/scripts/cross_domain_significance.py @@ -0,0 +1,96 @@ +#!/usr/bin/env python3 +""" +cross_domain_significance.py — Statistical significance test for +RRC cross-domain 1/n residual signatures. + +Tests whether observed deviations from predicted 1/n scaling or +1/7 meta-solid threshold are statistically significant at ≥6σ. +""" + +import json, math +from pathlib import Path +from datetime import datetime, timezone + +ROOT = Path(__file__).resolve().parents[1] + +def gaussian_p_value(z: float) -> float: + """Two-tailed p-value from z-score via complementary error function.""" + return math.erfc(abs(z) / math.sqrt(2)) + +def sigma_from_p(p: float) -> float: + """Convert p-value to sigma level (two-tailed) via inverse erfc approximation.""" + if p <= 0: + return float('inf') + if p >= 1: + return 0.0 + t = math.sqrt(-2 * math.log(p if p <= 0.5 else 1 - p)) + c = (2.515517, 0.802853, 0.010328) + d = (1.432788, 0.189269, 0.001308) + return t - (c[0] + c[1]*t + c[2]*t**2) / (1 + d[0]*t + d[1]*t**2 + d[2]*t**3) + +def main(): + sig_path = ROOT / "signatures" / "cross_domain_signatures.json" + sigs = json.loads(sig_path.read_text()) + entries = sigs["signatures"] + + phases = {} + for e in entries: + phases.setdefault(e.get("phase", 0), []).append(e) + + results = [] + for phase_num in sorted(phases): + group = phases[phase_num] + domain = group[0].get("domain", "Unknown") + deviations = [abs(e["deviation"]) for e in group if "deviation" in e] + residuals = [e["residual_mhz"] for e in group if "residual_mhz" in e] + + values = deviations or residuals + n = len(values) + + if n < 2: + results.append({ + "phase": phase_num, "domain": domain, + "n": n, "status": "insufficient_data" + }) + continue + + mean_val = sum(values) / n + var = sum((v - mean_val)**2 for v in values) / (n - 1) if n > 1 else 0 + se = math.sqrt(var / n) + z = mean_val / se if se > 0 else 0.0 + p = gaussian_p_value(z) + sigma = sigma_from_p(p) + + results.append({ + "phase": phase_num, + "domain": domain, + "n": n, + "mean_deviation": round(mean_val, 6), + "std_err": round(se, 6), + "z_score": round(z, 4), + "sigma_level": round(sigma, 2) if sigma < 1e6 else "inf", + "passes_6sigma": bool(sigma >= 6.0), + }) + + summary = { + "schema": "cross_domain_significance_v1", + "generated_at": datetime.now(timezone.utc).strftime("%Y-%m-%dT%H:%M:%SZ"), + "source": "cross_domain_signatures.json", + "total_entries": len(entries), + "phases": results, + } + + out_path = ROOT / "signatures" / "cross_domain_significance.json" + out_path.write_text(json.dumps(summary, indent=2) + "\n") + print(f"Wrote {out_path}") + for r in results: + s = r.get("sigma_level") + if s is not None and s != "inf": + tag = "✅" if r["passes_6sigma"] else "❌" + print(f" Phase {r['phase']} ({r['domain']}): σ={s} {tag}") + else: + tag = "✅" if r.get("status") == "insufficient_data" else "❌" + print(f" Phase {r['phase']} ({r['domain']}): σ={s} {tag}") + +if __name__ == "__main__": + main() diff --git a/scripts/setup_authentik.sh b/scripts/setup_authentik.sh new file mode 100644 index 00000000..ee110c25 --- /dev/null +++ b/scripts/setup_authentik.sh @@ -0,0 +1,80 @@ +#!/bin/bash +# setup_authentik.sh — Deploy Authentik + Caddy on neon-64gb +# Uses existing Postgres (arxiv-pg) and Redis on neon. +# +# Run from any node with SSH access to neon: +# bash scripts/setup_authentik.sh +# +# Authentik listens on: +# HTTP → port 30001 (Caddy at auth.neon.lan proxies to this) +# HTTPS → port 30100 (reserved for future direct TLS) + +set -euo pipefail +NEON="allaun@100.92.88.64" + +echo "=== Step 1: Create authentik database ===" +ssh "$NEON" " +psql -h localhost -U postgres -tc \"SELECT 1 FROM pg_database WHERE datname='authentik'\" | grep -q 1 || \ + psql -h localhost -U postgres -c 'CREATE DATABASE authentik' +" + +echo "=== Step 2: Generate shared secret key ===" +AUTH_KEY=$(python3 -c "import secrets; print(secrets.token_hex(32))") + +echo "=== Step 3: Pull image ===" +ssh "$NEON" "podman pull ghcr.io/goauthentik/server:latest" + +echo "=== Step 4: Remove old containers ===" +ssh "$NEON" "podman rm -f authentik-server authentik-worker 2>/dev/null || true" + +echo "=== Step 5: Start server (port 30001) ===" +ssh "$NEON" " +podman run -d --name authentik-server \ + --network host \ + -e AUTHENTIK_SECRET_KEY='$AUTH_KEY' \ + -e AUTHENTIK_POSTGRESQL__NAME=authentik \ + -e AUTHENTIK_POSTGRESQL__USER=postgres \ + -e AUTHENTIK_POSTGRESQL__HOST=localhost \ + -e AUTHENTIK_POSTGRESQL__PORT=5432 \ + -e AUTHENTIK_POSTGRESQL__PASSWORD=postgres \ + -e AUTHENTIK_REDIS__HOST=localhost \ + -e AUTHENTIK_REDIS__PORT=6379 \ + -e AUTHENTIK_LISTEN__HTTP=0.0.0.0:30001 \ + ghcr.io/goauthentik/server:latest server +" + +echo "=== Step 6: Start worker ===" +ssh "$NEON" " +podman run -d --name authentik-worker \ + --network host \ + -e AUTHENTIK_SECRET_KEY='$AUTH_KEY' \ + -e AUTHENTIK_POSTGRESQL__NAME=authentik \ + -e AUTHENTIK_POSTGRESQL__USER=postgres \ + -e AUTHENTIK_POSTGRESQL__HOST=localhost \ + -e AUTHENTIK_POSTGRESQL__PORT=5432 \ + -e AUTHENTIK_POSTGRESQL__PASSWORD=postgres \ + -e AUTHENTIK_REDIS__HOST=localhost \ + -e AUTHENTIK_REDIS__PORT=6379 \ + ghcr.io/goauthentik/server:latest worker +" + +echo "=== Step 7: Wait for migrations ===" +sleep 10 + +echo "=== Status ===" +ssh "$NEON" " +podman ps --filter name=auth --format '{{.Names}} {{.Status}}' +curl -s -o /dev/null -w 'HTTP port 30001: %{http_code}\n' http://localhost:30001/ +" + +echo "=== Done ===" +echo " Authentik: http://localhost:30001 (neon) or http://auth.neon.lan via Caddy" +echo " Setup wizard at first visit creates the admin account." +echo "" +echo " To route via Caddy (if desired):" +echo " ssh $NEON 'cat > ~/caddy/Caddyfile << EOF" +echo " auth.neon.lan {" +echo " reverse_proxy localhost:30001" +echo " }" +echo " EOF"" +echo " ssh $NEON 'podman restart caddy'" diff --git a/signatures/cross_domain_significance.json b/signatures/cross_domain_significance.json new file mode 100644 index 00000000..1dd7fdc9 --- /dev/null +++ b/signatures/cross_domain_significance.json @@ -0,0 +1,54 @@ +{ + "schema": "cross_domain_significance_v1", + "generated_at": "2026-06-30T07:48:42Z", + "source": "cross_domain_signatures.json", + "total_entries": 16, + "phases": [ + { + "phase": 1, + "domain": "Rydberg", + "n": 3, + "mean_deviation": 123.266667, + "std_err": 37.656621, + "z_score": 3.2734, + "sigma_level": 3.07, + "passes_6sigma": false + }, + { + "phase": 2, + "domain": "Superconductor", + "n": 3, + "mean_deviation": 0.006286, + "std_err": 0.002245, + "z_score": 2.7997, + "sigma_level": 2.57, + "passes_6sigma": false + }, + { + "phase": 3, + "domain": "EnergyStorage", + "n": 3, + "mean_deviation": 0.077504, + "std_err": 0.023425, + "z_score": 3.3085, + "sigma_level": 3.11, + "passes_6sigma": false + }, + { + "phase": 4, + "domain": "Electromagnetic", + "n": 3, + "mean_deviation": 0.003333, + "std_err": 0.003333, + "z_score": 1.0, + "sigma_level": 0.47, + "passes_6sigma": false + }, + { + "phase": 5, + "domain": "Rydberg", + "n": 0, + "status": "insufficient_data" + } + ] +} diff --git a/tests/test_python_modules.py b/tests/test_python_modules.py new file mode 100644 index 00000000..53196b3e --- /dev/null +++ b/tests/test_python_modules.py @@ -0,0 +1,103 @@ +"""test_python_modules.py — Sanity checks for Python shim modules. + +Tests that each module can be imported and key functions run without error. +For deterministic modules, checks that output matches expected values. +""" + +from __future__ import annotations + +import sys +import unittest +from pathlib import Path + +sys.path.insert(0, str(Path(__file__).resolve().parent.parent / "python")) +sys.path.insert(0, str(Path(__file__).resolve().parent.parent / "qubo")) + + +class TestPistBraidBridge(unittest.TestCase): + """pist_braid_bridge: PIST trace → braid strand mapping.""" + + def test_import(self): + import pist_braid_bridge + self.assertTrue(hasattr(pist_braid_bridge, "float_to_q16")) + self.assertTrue(hasattr(pist_braid_bridge, "q16_to_float")) + + +class TestSidonAddress(unittest.TestCase): + """sidon_address: Sidon label propagation.""" + + def test_import(self): + import sidon_address + self.assertTrue(hasattr(sidon_address, "verify_sidon_property")) + self.assertTrue(hasattr(sidon_address, "spectral_to_sidon_address")) + + +class TestSpectralProfile(unittest.TestCase): + """spectral_profile: spectral feature extraction.""" + + def test_import(self): + import spectral_profile + self.assertTrue(hasattr(spectral_profile, "compute_spectral_profile")) + + +class TestBuildManifold(unittest.TestCase): + """build_manifold: manifold generation pipeline.""" + + def test_lean_q16_16(self): + from build_manifold import lean_q16_16 + self.assertEqual(lean_q16_16(0.0), "Q16_16.zero") + self.assertEqual(lean_q16_16(0.5), "Q16_16.ofRatio 1 2") + self.assertEqual(lean_q16_16(0.25), "Q16_16.ofRatio 1 4") + + +class TestQ16Canonical(unittest.TestCase): + """q16_canonical: Q16_16 encoding/decoding.""" + + def test_import(self): + import q16_canonical + self.assertTrue(hasattr(q16_canonical, "float_to_q16")) + self.assertTrue(hasattr(q16_canonical, "q16_to_float")) + + +class TestDnaCodec(unittest.TestCase): + """dna_codec: DNA ↔ binary codec.""" + + def test_import(self): + import dna_codec + self.assertTrue(hasattr(dna_codec, "melting_temperature")) + + +class TestExprTree(unittest.TestCase): + """expr_tree: expression tree parsing.""" + + def test_import(self): + import expr_tree + self.assertTrue(hasattr(expr_tree, "ExprNode")) + + +class TestBuildPistMatrices(unittest.TestCase): + """build_pist_matrices_250: PIST matrix generation.""" + + def test_import(self): + import build_pist_matrices_250 + self.assertTrue(hasattr(build_pist_matrices_250, "lean_str")) + + +class TestDnaQuboSort(unittest.TestCase): + """dna_qubo_sort: QUBO-based DNA sorting.""" + + def test_import(self): + import dna_qubo_sort + self.assertTrue(hasattr(dna_qubo_sort, "QuboDnaCandidate")) + + +class TestChaosGame(unittest.TestCase): + """chaos_game: chaos game IFS engine.""" + + def test_import(self): + import chaos_game + self.assertTrue(hasattr(chaos_game, "LCG")) + + +if __name__ == "__main__": + unittest.main()