Experimental approach to math functions
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openresearch 723992c567 docs: add π tape LUT coda — cleanest conservation law proof
Measured on real π (1M digits): offset digits ≈ data digits,
slope exactly 1. The pointer-into-π is the same size as the data.

BBP formula makes the tape free to read (random access without
storage), but the address carries all the bits. Free shelf, call
number as long as the book.

π-normality only conjectured → losslessness not guaranteed.

This is the cleanest single proof of the base-conversion conservation
law in the entire arc: real π, slope-1, half a second to run.
Substrate-independent: the law holds whether the tape is stored,
computed, or given by physics.

Implication for dense computation: even with a free tape, look-up
= base conversion = no gain. Target genuinely sparse structure
(low-rank, k-sparse, RIP-compliant), not look-up from big tables.
2026-07-03 20:57:15 +00:00
.github ci(gate): add anti-smuggle vacuity check script + CI workflow layer 2026-07-03 05:03:08 -05:00
5-Applications/tools-scripts/llm fix: address adversarial review findings 2026-06-23 08:28:30 -05:00
6-Documentation/docs/specs fix: address adversarial review findings 2026-06-23 08:28:30 -05:00
archive chore(anti-smuggle): patch stealth-True + bare-sorry blind spots; archive SidonWrapping orphan 2026-07-03 15:07:49 -05:00
c fix(c,octave): C stack overflow test fuel, Octave instance methods 2026-06-30 18:26:10 -05:00
coq fix(coq): migrate all files to Rocq 9.0 imports (ZCompat, no ZArith) 2026-07-01 23:21:29 -05:00
Core chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
cpp fix(ports): C, C++, Go, Octave test fixes 2026-06-30 18:21:20 -05:00
data feat(spectral): f/Cartan integration — exact spiral packing, f(n) layout, Cartan Δ-floor, torus-winding fix 2026-07-01 20:53:47 -05:00
docs docs: add π tape LUT coda — cleanest conservation law proof 2026-07-03 20:57:15 +00:00
exe refactor(rrc): rename corpus250→allFixtures/emitManifold, generic n-dimensional modules, Authentik deploy 2026-06-30 04:54:40 -05:00
experiments chore: add experiment file, gitignore qc_flag backups 2026-06-30 04:54:40 -05:00
external feat(prime-lut): add PrimeLut reader with embedded + binary LUT backends 2026-07-03 05:00:22 -05:00
extraction chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
formal fix(StrandCapacityBound): repair proofs + register in lakefile 2026-07-03 15:19:47 -05:00
fortran feat(cartan-dna): Cartan-DNA bridge — derive spectral gap from encoder 2026-06-30 20:06:38 -05:00
go fix(avm-review): resolve adversarial review findings 2026-06-30 19:01:47 -05:00
infra/sigs fix: CORE API works without auth key (User-Agent header), 274 signatures 2026-06-30 05:40:44 -05:00
julia docs: Hopf Portability Criterion + Ingest Bridge — 4-agent synthesis 2026-06-30 19:53:58 -05:00
octave fix(octave): floor_div use double division + floor instead of idivide with int32 2026-06-30 18:32:58 -05:00
python feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
qubo chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
r docs: Hopf Portability Criterion + Ingest Bridge — 4-agent synthesis 2026-06-30 19:53:58 -05:00
rust feat(semisym): exact-rational Rust discriminator — jet AD, checkpointed survey, Δ₇ verdict 2026-07-03 04:53:45 -05:00
scala feat(cartan-dna): Cartan-DNA bridge — derive spectral gap from encoder 2026-06-30 20:06:38 -05:00
scripts docs(compression): add pi-as-tape-LUT coda (offset = data size, base conversion) 2026-07-03 15:56:01 -05:00
signatures verify(classifier): cross-language classifier — Python confirms, 7 invariant 2026-06-30 20:53:48 -05:00
tests feat(spectral): f/Cartan integration — exact spiral packing, f(n) layout, Cartan Δ-floor, torus-winding fix 2026-07-01 20:53:47 -05:00
.gitignore feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
.gitmodules feat(prime-lut): add PrimeLut reader with embedded + binary LUT backends 2026-07-03 05:00:22 -05:00
.sops.yaml feat(wolfram): add Wolfram Alpha MCP server + SOPS-encrypted API key 2026-06-30 17:28:22 -05:00
AGENTS.md fix(avm-ports): align all 3 ports with Lean reference 2026-06-30 17:37:01 -05:00
BREAKGLASS_LOG.md feat(lean): Sidon-orthogonality bypass closes operator-norm gap 2026-06-26 23:36:55 -05:00
CITATION.cff Update CITATION.cff: add all session data sources 2026-07-03 19:48:17 +00:00
ERROR_INVENTORY.md fix: resolve all 5 audit issues for full self-verification 2026-07-01 19:53:18 +00:00
lake-manifest.json chore: update Mathlib manifest to v4.30.0-rc2 2026-06-23 07:54:26 -05:00
lakefile.lean fix(StrandCapacityBound): repair proofs + register in lakefile 2026-07-03 15:19:47 -05:00
lean-toolchain fix: PVGS Mathlib compatibility — update imports + toolchain 2026-06-23 07:53:36 -05:00
PORTING_MANIFEST.md fix(coq): 8/9 axioms proven — Pos_mul_comm still Admitted (Rocq 9.0) 2026-07-01 23:20:36 -05:00
PORTING_MAP.md refactor(rrc): rename corpus250→allFixtures/emitManifold, generic n-dimensional modules, Authentik deploy 2026-06-30 04:54:40 -05:00
pytest.ini feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
README.md feat: README, CI pipeline, Dependabot config 2026-06-30 05:48:50 -05:00
REBASE_RULES.md feat(core): harden SilverSightCore and port canonical FixedPoint 2026-06-21 06:30:12 -05:00
requirements.txt fix: resolve h11 CVE-2025-43859 (critical) 2026-07-01 20:01:41 +00:00
SORRY_PROTOCOL.md docs(sorry-protocol): S1-S3 marked RESOLVED WEAKENED — Chentsov uniqueness → invariance 2026-06-23 06:00:46 -05:00
SORRY_RESOLUTION_S1S3.md chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
TRACEABILITY_GRAPH.md chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
VERIFICATION_LOG.md docs(verification): formulas 010-011 — τ parse tree + G2 collision breaking verified 2026-06-23 05:57:26 -05:00
WORK_LOG.md Update WORK_LOG.md - document past 5 minutes: integer spiral packing, f(n) layout, Cartan floor, torus winding, fingerprint resolution, 43/43 tests 2026-07-02 04:03:14 +02:00

SilverSight

A formally verified, hardware-native computation stack for braid topology analysis, eigensolid compression, and cross-domain 1/n-scaling signature mining.

Quick Start

# Verify the entire pipeline (4 min)
bash scripts/run_entry_gate.sh

This runs all 4 anti-smuggle layers:

Layer Gate What it proves
0 check_determinism.py All artifacts are reproducible (SHA-256 chains, seeded RNG)
1 lake build All 3307 Lean jobs compile (Q16_16 fixed-point, AVM ISA, PIST classifiers)
2 rrc-emit-fixture The manifold receipt emits with 278/278 rows passing alignment
3 verify_with_sympy.py All Q16_16 computations cross-checked against SymPy symbolic math

What It Does

Core idea: Every byte is signal. Gaps, timing, and absences are the encoding. The compressor encodes everything; the decompressor must reconstruct everything, including the gaps — because the gaps are the compression.

Pipeline

Equation text → tokenizer → 8×8 strand adjacency matrix
                                       ↓
                              PIST spectral classifier
                              (MatrixN → SpectralN → ClassifyN)
                                       ↓
                              Q16_16Manifold (278 fixture rows)
                                       ↓
                              AVM ISA receipt (JSON)

Key Modules

Module Purpose
MatrixN Generic n×n matrix operations (power iteration, Laplacian, A^T A)
SpectralN Spectral profile: eigenvalue, spectral gap, density, Frobenius norm
ClassifyN Spectral-radius → color → shape-name classifier
BraidStateN n-strand braid state, crossStep, eigensolid convergence
FisherRigidityN n-dimensional Fisher-Rao geometric rigidity
FixedPointBridge Q16_16 ↔ Q0_64 quad matrix bridge (zero LSB error)
FeasibleSet QUBO k-hot relaxation with weak monotonicity proofs

Infrastructure

Service Host Purpose
AppFloyo Cloud neon-64gb:8000 Module dependency dashboard
GoTrue neon-64gb:9999 JWT auth for API access
Authentik neon-64gb:30001 SSO provider (OAuth2/OIDC)
Homarr neon-64gb:7575 Infrastructure dashboard
CouchDB neon-64gb:5984 Document store

Verification

# Full formal build
lake build                          # 3307 jobs, 0 errors

# Generate predictions from equations
python3 python/generate_predictions.py

# Build matrix data
python3 python/build_pist_matrices_250.py

# Build manifold fixture rows
python3 python/build_manifold.py

# Emit signed receipt
lake exe rrc-emit-fixture

# Cross-domain significance mining (arXiv + CORE API)
CORE_API_KEY="<key>" python3 infra/sigs/rydberg_miner.py
python3 scripts/cross_domain_significance.py

Project Structure

formal/          Lean 4 source (truth)
python/          Python I/O shims
scripts/         Anti-smuggle protocol, infrastructure
signatures/      Cross-domain signature data
infra/sigs/      Literature mining tools
specs/           Design documents

License

Apache 2.0