allaun
1d5273264d
- Positive-cone transport certificates (p28_positive_cone.py, POSITIVE_CONE_CERTIFICATE.md, POSITIVE_CONE_MANUSCRIPT_SECTION.tex) - Optimized differential gauge (p28_optimized_gauge.py, OPTIMIZED_GAUGE_CERTIFICATE.md) - Adversarial provenance supplements (p28_mutation_sensitivity.py, solution_pre_positive_cone.tex) - FAMM SCARS advisory records (FAMM_SCARS.md, p28_famm_scars.json, p28_famm_scars_validator.py) - Overview documentation (OPTIONAL_IMPROVEMENTS.md, ADVERSARIAL_AUDIT.md) These are independent, replayable supplements developed after the original exact closure. They can be verified independently with 'bash run_checks.sh' in the certificates directory.
1131 lines
43 KiB
JSON
1131 lines
43 KiB
JSON
{
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"schema": "mathpunch.p28-famm-scar-bundle.v1",
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"schema_status": "advisory-interchange-not-discovery-store-ingested",
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"created_utc_date": "2026-07-31",
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"problem": {
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"problem_id": "ramanujan-challenge-problem-2.8",
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"instance": "official-four-column-transfer-at-R-151931373056001",
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"proof_branch": "feat/ramanujan-28-singular-closure",
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"proof_commit_before_scar_artifacts": "492c8ab8717f2e470151330158a8037a4b5f70f1",
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"release_hash_status": "FINAL",
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"final_solution_tex_sha256": "92a47914da4d15d6a4d284d21527cb0ff5c9b0d6e3b60217d1f575047314da37",
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"final_solution_pdf_sha256": "8e39ac7a7202a622fd07f657ec8f0331b0f85245104ddb0c3d5cb6d29bfecf97",
|
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"baseline_snapshot_only": {
|
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"solution_tex_sha256_at_492c8ab": "a1c11c5f62aad9e1c9eacae54c5f3d8ea4f98de67c6b46cee1354d382df4a60a",
|
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"solution_pdf_sha256_at_492c8ab": "e85d7bf975185905d2b4ba6e3427c4b92735954dd8328589e67a04acab064ae2",
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"authority": "PROVENANCE_ONLY_NOT_FINAL_RELEASE_PINS"
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}
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},
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"famm_authority_sources": {
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"repository": "allaunthefox/MathPunch-FiniteState",
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"commit": "9df0f48576aefce91eb1fc13ff876bec1007162d",
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"files": [
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{
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"path": "docs/specs/FAMM_REFINED.md",
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"blob_sha": "62070097a5675fbd65f0adc0d921e8e29c2bd021"
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},
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{
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"path": "docs/specs/FAMM_TOPOLOGY_ESCALATION_V1.md",
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"blob_sha": "3647465cf8635990fa368280f3c11876eddf43b7"
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},
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{
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"path": "src/discovery/node.rs",
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"blob_sha": "d4a9d4f8ee031631916bc031f9c4680123c91c9c"
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},
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{
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"path": "src/discovery/authorization.rs",
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"blob_sha": "369918120203700295694ae48f836f295850fdda"
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},
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{
|
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"path": "src/discovery/canonical.rs",
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"blob_sha": "8bed986690672eab04a400c40c49a2f317e9092c"
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}
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]
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|
},
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"interchange_contract": {
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"node_shape": "DiscoveryNode-compatible field vocabulary; not a Rust serde format",
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"node_id_space": "bundle-local unsigned integers",
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"scope_id_space": "bundle-local unsigned integers; registration in a DiscoveryStore is required before use",
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"payload_variant": "Fields",
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"parent_roles": [
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"ObservedFailure",
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"CheckedBy",
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"Supports"
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],
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"canonical_node_hashes": null,
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"mmr_commitment": null,
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"ingested_into_discovery_store": false,
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"pruning_authority": false
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},
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"authority_policy": {
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"observations_may_rank": true,
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"failure_signatures_may_rank": true,
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"soft_scars_may_rank": true,
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"observations_may_prune": false,
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"failure_signatures_may_prune": false,
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"soft_scars_may_prune": false,
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"blocked_promotion_ideas_may_prune": false,
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"authorized_hard_scars_may_prune": true,
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"authorized_hard_scars_present": false,
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"rule": "Only an AuthorizedHardScar reauthorized by the current formula, scope, certificate, minimization, proposal, and authorization chain may enter HardIndex. This bundle contains no such node."
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},
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"scope_registry": [
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{
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"scope": 2800,
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"name": "p28-package-only",
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"domain": "The Problem 2.8 submission lineage rooted at proof commit 492c8ab; exact final-release applicability additionally requires the pending solution and runner hashes to be filled after rebuild.",
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"excludes": "Other Ramanujan problems, other matrix normalizations, and future revisions."
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},
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{
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"scope": 2801,
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"name": "p28-tail-contiguity",
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"domain": "The displayed rational family M_N(x)=M(2N+3,x), N>=0, and its nonterminating 4F3 Euler jet, after clearing every displayed nonzero denominator.",
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"excludes": "Unrelated Ore operators, numerical samples, or a different gauge."
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},
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{
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"scope": 2802,
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"name": "p28-terminating-denominator",
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"domain": "The official first-column terminating 4F3 denominator, n>=1 and coefficients 0<=k<=n, with the displayed one-step operator.",
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"excludes": "Uniqueness claims based only on normalization at z=0."
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},
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{
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"scope": 2803,
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"name": "p28-fixed-x-convergence",
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"domain": "R=151931373056001, x0=1/R, the circle |x|=1/4, m>=1, and the displayed balanced transfer.",
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"excludes": "Other radii, other R, and estimates that do not separate negative exponents."
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},
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{
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"scope": 2804,
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"name": "p28-all-four-columns",
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"domain": "The official two seed rows, all four official columns, the balanced transfer, the Pascal-conjugated positive cone, and the elementary projective contraction for m>=1 and R>=4.",
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"excludes": "Other seed rows, other gauges, and unproved cone transports; the spectral/stable-graph proof is retained only as a historical audited route."
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},
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{
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"scope": 2805,
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"name": "p28-release-metadata",
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"domain": "Problem 2.8 statement, README, manuscript, and release metadata in this package.",
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"excludes": "Equivalent reciprocal statements when clearly labelled as equivalent."
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},
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{
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"scope": 2806,
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"name": "p28-checker-execution",
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"domain": "The mandatory standard-library checker path and optional Sage/Wolfram cross-check path declared by run_checks.sh.",
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"excludes": "Stored PASS text treated as a substitute for replay."
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},
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{
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"scope": 2807,
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"name": "p28-denominator-cleared-gauge-optimization",
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"domain": "The pinned rational differential gauge for u=2n+1 after D=diag(x,1,1,1), common clearing by (1-z)^2, cleared companion matrices, and the 176 exact scalar obligations.",
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"excludes": "Claims that a resource failure falsifies the original rational identity, unrelated gauges, and numerical timing as mathematical evidence."
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},
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{
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"scope": 2808,
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"name": "p28-famm-interchange",
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"domain": "The advisory p28_famm_scars.json interchange bundle, its local nodes/scopes, typed parent roles, artifact pins, counts, and zero-hard-authority invariant.",
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"excludes": "Canonical DiscoveryStore ingestion, canonical node hashes, MMR membership, or pruning authorization."
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}
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],
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"checker_registry": [
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{
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"id": "p28.rank-ode-bound.stdlib.v1",
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"checker_version": 1,
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"runtime": "Python 3.12.13 standard library",
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"command": "python3 certificates/p28_rank_ode_bound_verifier.py",
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"artifact": "certificates/p28_rank_ode_bound_verifier.py",
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"sha256": "72758c420cef9f992166536f2a19926ce8c86d5b78932bca94af3393e0ac461a",
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"authority": "EXACT_REPLAYABLE_WITHIN_DECLARED_EQUATIONS"
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},
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{
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"id": "p28.convergence.stdlib.v1",
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"checker_version": 1,
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"runtime": "Python 3.12.13 standard library",
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"command": "python3 certificates/p28_convergence_constants.py",
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"artifact": "certificates/p28_convergence_constants.py",
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"sha256": "a166e27e98220788af495242f520ee2f559176b06425507ec325c4ef22610ca2",
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"authority": "EXACT_REPLAYABLE_WITHIN_DECLARED_INEQUALITIES"
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},
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{
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"id": "p28.equations.stdlib.v1",
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"checker_version": 1,
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"runtime": "Python 3.12.13 standard library",
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"command": "python3 certificates/p28_standalone_equations.py",
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"artifact": "certificates/p28_standalone_equations.py",
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"sha256": "d43bf53bce59a494fc58d0a4fe63dbd1b623f7b25fac3296c18c1aeeadd0140b",
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"authority": "EXACT_REPLAYABLE_WITHIN_DECLARED_EQUATIONS"
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},
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{
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"id": "p28.dominant-product.stdlib.v1",
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"checker_version": 1,
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"runtime": "Python 3.12.13 standard library",
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"command": "python3 certificates/p28_dominant_product_algebra.py",
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"artifact": "certificates/p28_dominant_product_algebra.py",
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"sha256": "e24643a1ddf532bdce5fe562402236ba52fb71d231730c9aa3ae6e00aa6bda35",
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"authority": "EXACT_REPLAYABLE_FOR_THE_ALGEBRAIC_SUBCLAIMS_ONLY"
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},
|
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{
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"id": "p28.package-runner.v1",
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"checker_version": 1,
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"runtime": "POSIX shell plus the final declared Python standard-library path",
|
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"command": "bash run_checks.sh",
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"artifact": "run_checks.sh",
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"sha256": "6d88321720874105259d826ddf5fd84f744580d23b4c17a00ba74f17d788dbd9",
|
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"authority": "REPLAY_ORCHESTRATOR; OPTIONAL_TOOLS_DO_NOT_SUPPLY_MANDATORY_AUTHORITY"
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},
|
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{
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"id": "p28.wolfram-cross-check.v1",
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"checker_version": 1,
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"runtime": "Wolfram Language, version recorded by the replay environment",
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"command": "wolframscript -file certificates/p28_full_closure_certificate.wl",
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"artifact": "certificates/p28_full_closure_certificate.wl",
|
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"sha256": "d011ecd89b939564051689f7fd1b66e8682435a32c49e25ace4648f5ac39ab39",
|
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"authority": "OPTIONAL_CROSS_CHECK_ONLY"
|
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},
|
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{
|
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"id": "p28.sage-kernel-cross-check.v1",
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"checker_version": 1,
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"runtime": "SageMath, version recorded by the replay environment",
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"command": "sage certificates/p28_kernel_contiguity_certificate.sage",
|
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"artifact": "certificates/p28_kernel_contiguity_certificate.sage",
|
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"sha256": "bd0c54ca3bdbe7d8886941d54f13d41626f3e21f6c34ebd5f238ab8136990979",
|
|
"authority": "OPTIONAL_CROSS_CHECK_ONLY"
|
|
},
|
|
{
|
|
"id": "p28.sage-columns-cross-check.v1",
|
|
"checker_version": 1,
|
|
"runtime": "SageMath, version recorded by the replay environment",
|
|
"command": "sage certificates/all_four_columns_certificate.sage",
|
|
"artifact": "certificates/all_four_columns_certificate.sage",
|
|
"sha256": "5ea71ac6bb39fc0a55be2683b5653aff8a821e3498eeba308694b7bc942440db",
|
|
"authority": "OPTIONAL_CROSS_CHECK_ONLY"
|
|
},
|
|
{
|
|
"id": "p28.optimized-gauge.stdlib.v1",
|
|
"checker_version": 1,
|
|
"runtime": "Python 3.12.13 standard library",
|
|
"command": "python3 certificates/p28_optimized_gauge.py",
|
|
"artifact": "certificates/p28_optimized_gauge.py",
|
|
"sha256": "50a09572fd6ca4bec336579bf974a04ba1f618d8ede781b7fc74903cd922c6d8",
|
|
"authority": "EXACT_REPLAYABLE_WITHIN_DECLARED_176_POLYNOMIAL_OBLIGATIONS"
|
|
},
|
|
{
|
|
"id": "p28.positive-cone.stdlib.v1",
|
|
"checker_version": 1,
|
|
"runtime": "Python 3.12.13 standard library",
|
|
"command": "python3 certificates/p28_positive_cone.py",
|
|
"artifact": "certificates/p28_positive_cone.py",
|
|
"sha256": "50de5693795c44584fafe4a67f02c60dedf9aa5c671742497d47f448fe69a422",
|
|
"authority": "EXACT_REPLAYABLE_WITHIN_DECLARED_POSITIVE_CONE_OBLIGATIONS"
|
|
},
|
|
{
|
|
"id": "p28.famm-scars-validator.stdlib.v1",
|
|
"checker_version": 1,
|
|
"runtime": "Python 3.12.13 standard library",
|
|
"command": "python3 certificates/p28_famm_scars_validator.py",
|
|
"artifact": "certificates/p28_famm_scars_validator.py",
|
|
"sha256": "11f89518b2b24d48f130a1e74940a0b0e64d71bb70e3ea6a704a3495d63089a7",
|
|
"authority": "EXACT_STRUCTURAL_VALIDATION_OF_ADVISORY_INTERCHANGE_ONLY"
|
|
}
|
|
],
|
|
"nodes": [
|
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{
|
|
"id": 1,
|
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"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2801,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-rational-polynomial-replay"],
|
|
["checker_id", "p28.equations.stdlib.v1"],
|
|
["covers", "four tail factorizations; tail coefficients; horizontal reconstruction; sixteen gauge entries; matrix-to-scalar contraction; terminating induction"],
|
|
["pin_status", "FINAL_SHA256_PINNED"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 2,
|
|
"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2803,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-exact-rational-inequality-replay"],
|
|
["checker_id", "p28.convergence.stdlib.v1"],
|
|
["covers", "normalization lower bound; Euler-jet sums; entry bounds; negative-exponent split; beta less than one"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 3,
|
|
"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-historical-dominant-product-algebra-replay"],
|
|
["checker_id", "p28.dominant-product.stdlib.v1"],
|
|
["covers", "balanced limit; characteristic quartic; coefficient homotopy; polynomial eigenvector; four positive coordinate rewrites"],
|
|
["excludes", "The current all-column transport, which instead uses the exact Pascal-conjugated positive cone; the spectral/stable-graph construction is retained as a historical audited route."],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 4,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observation_type", "finalized-mandatory-replay-orchestrator"],
|
|
["checker_id", "p28.package-runner.v1"],
|
|
["covers", "mandatory stdlib replay and forbidden-shortcut scan"],
|
|
["excludes", "optional Sage and Wolfram availability"],
|
|
["pin_status", "FINAL_SHA256_PINNED"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 5,
|
|
"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2807,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-denominator-cleared-gauge-replay"],
|
|
["checker_id", "p28.optimized-gauge.stdlib.v1"],
|
|
["covers", "176 exact scalar obligations: 16 J2 proportionality; 16 gauge decomposition; 16 cleared gauge entries; 32 cleared companion entries; 16 quotient entries; 80 gauge coefficient identities"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 6,
|
|
"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-positive-cone-transport-replay"],
|
|
["checker_id", "p28.positive-cone.stdlib.v1"],
|
|
["covers", "100 exact obligations: Pascal inverse; 16 transfer entries; 16 positive numerators; 16 positive denominators; 16 limit identities; 16 positive limit entries; 8 seed cone identities; 8 positive seed coordinates; official row relation; 2 official seed specializations"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 7,
|
|
"kind": "Certificate",
|
|
"parents": [],
|
|
"scope": 2808,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["certificate_type", "dependency-free-advisory-interchange-structure-validation"],
|
|
["checker_id", "p28.famm-scars-validator.stdlib.v1"],
|
|
["covers", "schema; node kinds; typed parent roles; acyclic references; registered scopes; declared counts; artifact hash pins; explicit pending pins; zero hard authority"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 10,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2800,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "A partially displayed deformed transfer was used as though it defined the analytic family."],
|
|
["repair", "Display all sixteen entries, define M_N(x)=M(2N+3,x), and replay the exact matrix identities."],
|
|
["source", "ADVERSARIAL_AUDIT.md: deformed transfer and lost-plus-sign findings"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 11,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 10}
|
|
],
|
|
"scope": 2800,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "underdefined-or-transcription-divergent-transfer"],
|
|
["trigger", "A proof step uses a matrix family not reproduced entry by entry by the mandatory checker."],
|
|
["falsifier", "A single nonzero coefficient in the matrix/gauge residual, including a lost binary plus sign."],
|
|
["scope_guard", "Exact pinned Problem 2.8 transfer only."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 12,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 1},
|
|
{"role": "Supports", "node": 11}
|
|
],
|
|
"scope": 2800,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Prioritize full matrix serialization and coefficient replay before using a deformed transfer."],
|
|
["assumptions_avoided", "An omitted coefficient is harmless; prose notation uniquely determines executable algebra."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 20,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2801,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "CAS Ore division with zero remainder was cited in place of the quotient identity."],
|
|
["repair", "Expose four denominator-cleared polynomial factorizations and replay every coefficient."],
|
|
["source", "ADVERSARIAL_AUDIT.md: Ore divisions used quo_rem"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 21,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 20}
|
|
],
|
|
"scope": 2801,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "opaque-ore-zero-remainder"],
|
|
["trigger", "A tail-contiguity route supplies a CAS remainder result but not D_r=q_r L_+ for all four rows."],
|
|
["falsifier", "Any nonzero cleared coefficient in one of the four residuals."],
|
|
["scope_guard", "The pinned M_N(x) and shifted nonterminating 4F3 jet only."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 22,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 1},
|
|
{"role": "Supports", "node": 21}
|
|
],
|
|
"scope": 2801,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Rank explicit cleared residual identities above opaque Ore-division transcripts."],
|
|
["assumptions_avoided", "A named CAS routine is an independently inspectable certificate."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 30,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Normalization at z=0 was claimed to select the terminating fourth-order solution uniquely."],
|
|
["repair", "Use base, generic, and top coefficient induction for the actual one-step operator."],
|
|
["source", "ADVERSARIAL_AUDIT.md: false ODE-normalization uniqueness"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 31,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 30}
|
|
],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "normalization-only-fourth-order-uniqueness"],
|
|
["trigger", "A terminating denominator is identified solely by an ODE and its value at z=0."],
|
|
["falsifier", "The exponent 2n supplies an additional analytic branch; normalization alone does not select the claimed polynomial."],
|
|
["scope_guard", "The pinned terminating 4F3 denominator and fourth-order operator."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 32,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 1},
|
|
{"role": "Supports", "node": 31}
|
|
],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Require coefficient induction or enough independent initial data before accepting uniqueness."],
|
|
["assumptions_avoided", "One normalization condition determines a fourth-order analytic solution."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 40,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "A scalar one-step operator was used before it was tied to the official matrix recurrence."],
|
|
["repair", "Reconstruct all horizontal components, verify all sixteen gauge entries, and contract the authoritative matrix to d_0+z d_1."],
|
|
["source", "ADVERSARIAL_AUDIT.md: scalar surrogate gap"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 41,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 40}
|
|
],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "unintertwined-scalar-surrogate"],
|
|
["trigger", "A scalar recurrence matches samples but lacks an exact matrix-to-scalar intertwiner."],
|
|
["falsifier", "Any nonzero entry in the sixteen-entry gauge residual or in the matrix contraction residual."],
|
|
["scope_guard", "Official Problem 2.8 matrix and displayed scalar operator only."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 42,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 1},
|
|
{"role": "Supports", "node": 41}
|
|
],
|
|
"scope": 2802,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Deprioritize scalar surrogates until an exact intertwiner is supplied."],
|
|
["assumptions_avoided", "Numerical agreement identifies the official transfer module."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 50,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2803,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "An upper bound for u/(m+1) was inverted when the exponent became -1."],
|
|
["repair", "Separate j<=3 from j=4 and use the lower bound u/(m+1)>=2 for the negative exponent."],
|
|
["source", "ADVERSARIAL_AUDIT.md: invalid transfer norm inequality"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 51,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 50}
|
|
],
|
|
"scope": 2803,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "reversed-negative-exponent-bound"],
|
|
["trigger", "A positive upper bound a<=b is used to infer a^(-1)<=b^(-1)."],
|
|
["falsifier", "At m=2, u/(m+1)=7/3 but its inverse 3/7 is greater than 2/5."],
|
|
["scope_guard", "The j=4 balanced-transfer column for m>=1."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 52,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 2},
|
|
{"role": "Supports", "node": 51}
|
|
],
|
|
"scope": 2803,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Split bounds by exponent sign before applying monotonicity."],
|
|
["assumptions_avoided", "Inequality direction is preserved by every integer power."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 60,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Birkhoff-Poincare was invoked as a black box to transport the first-column result to three other columns."],
|
|
["repair", "The first repair constructed the stable graph explicitly; the optimized repair now uses the exact Pascal-conjugated positive transfer and an elementary weighted-average contraction."],
|
|
["source", "ADVERSARIAL_AUDIT.md plus the formula-optimization loop: all-column transport"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 61,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 60}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "uninstantiated-asymptotic-theorem"],
|
|
["trigger", "A named asymptotic or transport theorem is cited without exact hypotheses, a nonvanishing conclusion, or the available positive-cone alternative."],
|
|
["falsifier", "An official seed lies outside the proved invariant cone, a conjugated transfer has a nonpositive entry, or a target column lacks positive mass."],
|
|
["scope_guard", "The official two seed rows, four columns, pinned balanced transfer, and proved Pascal-conjugated cone."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 62,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 6},
|
|
{"role": "Supports", "node": 61}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Prefer the exact positive-cone transport and elementary min/max contraction; retain the stable graph only as a historical audited fallback."],
|
|
["assumptions_avoided", "Spectral-gap and eigenvector machinery is necessary to transport the common limit across the official columns."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 70,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Irreducibility, polynomial GCD, and root-finder calls were used to justify eigenvector nonvanishing."],
|
|
["repair", "Use coefficient-dominance homotopy, Q_R(1)<0, and four exact positive coordinate rewrites."],
|
|
["source", "ADVERSARIAL_AUDIT.md: native CAS spectral decisions"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 71,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 70}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "native-decision-used-as-exact-spectral-proof"],
|
|
["trigger", "A root location or nonvanishing conclusion is accepted from a native factor/GCD/root routine without a replayable identity."],
|
|
["falsifier", "The routine supplies no exact root count, sign isolation, or coordinate identity in the declared field."],
|
|
["scope_guard", "The characteristic quartic Q_R and displayed left eigenvector."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 72,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 3},
|
|
{"role": "Supports", "node": 71}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "If the historical spectral route is replayed, prefer exact homotopy margins and polynomial eigenvector identities over native decisions; the current route uses the positive cone instead."],
|
|
["assumptions_avoided", "A CAS decision has portable, inspectable proof authority by default."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 80,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Columns 2, 3, and 4 were divided before eventual denominator nonvanishing was proved."],
|
|
["repair", "Prove both official rows enter the positive cone and every conjugated transfer is strictly positive; then every denominator column is positive before any division."],
|
|
["source", "ADVERSARIAL_AUDIT.md: premature division"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 81,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 80}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "quotient-before-eventual-nonzero"],
|
|
["trigger", "A column quotient is formed before the denominator is proved nonzero on an eventual tail."],
|
|
["falsifier", "A zero denominator at an unexcluded index makes the displayed quotient undefined."],
|
|
["scope_guard", "Official columns j=1,2,3,4 under the proved positive-cone transport; no claim about unrelated seeds or gauges."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 82,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 6},
|
|
{"role": "Supports", "node": 81}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Use exact cone entry and strict positivity of every conjugated transfer to obtain Q_{m,j}>0 for m>=1 before division."],
|
|
["assumptions_avoided", "Existence of a formal ratio implies its denominator is eventually nonzero."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 90,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "A stored Wolfram PASS transcript could be accepted when Wolfram and Sage were absent."],
|
|
["repair", "Make dependency-free rational-polynomial checks mandatory and label Sage/Wolfram as optional cross-checks."],
|
|
["source", "ADVERSARIAL_AUDIT.md: checker-availability defect"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 91,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 90}
|
|
],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "stored-transcript-substituted-for-replay"],
|
|
["trigger", "A run reports success solely because an old PASS text exists or an optional executable is missing."],
|
|
["falsifier", "Mutate a mandatory equation while retaining the transcript; a sound mandatory path must fail."],
|
|
["scope_guard", "This package's run_checks.sh and declared mandatory files."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 92,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "Supports", "node": 91}
|
|
],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Require live mandatory replay; retain transcripts only as provenance."],
|
|
["assumptions_avoided", "A stored PASS receipt proves the current bytes were executed."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 100,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2805,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Release metadata named Q/P as the requested orientation."],
|
|
["repair", "State P/Q -> sqrt(10005)/pi as official; label Q/P -> pi/sqrt(10005) only as equivalent."],
|
|
["source", "ADVERSARIAL_AUDIT.md: official orientation defect"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 101,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 100}
|
|
],
|
|
"scope": 2805,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "official-ratio-orientation-reversed"],
|
|
["trigger", "A release labels Q/P as the official target rather than an equivalent reciprocal."],
|
|
["falsifier", "Compare the boxed theorem and release claim to the official P_{N,j}/Q_{N,j} statement."],
|
|
["scope_guard", "Metadata labels only; a correctly labelled reciprocal theorem is not rejected."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 102,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "Supports", "node": 101}
|
|
],
|
|
"scope": 2805,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Check orientation against the official statement before release."],
|
|
["assumptions_avoided", "Equivalent reciprocal formulas have interchangeable submission labels."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 110,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "Top-level Wolfram line breaks before leading plus signs truncated several serialized assignments."],
|
|
["repair", "Serialize each assignment so continuation operators remain inside the expression and replay printed versus executable equations."],
|
|
["source", "Adversarial loop serialization regression"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 111,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 110}
|
|
],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "line-break-terminates-cas-assignment"],
|
|
["trigger", "A generated Wolfram assignment ends a top-level line before continuation terms beginning with plus."],
|
|
["falsifier", "Parsed expression omits finite terms even though the printed multiline formula contains them."],
|
|
["scope_guard", "Wolfram serialization in this package; not a general claim about every CAS grammar."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 112,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "Supports", "node": 111}
|
|
],
|
|
"scope": 2806,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Round-trip generated CAS equations through the target parser before accepting a transcript."],
|
|
["assumptions_avoided", "Visual multiline equality implies parser-level equality."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 120,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2807,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "The raw sixteen-entry rational gauge replay is exact in principle but creates avoidable expression swell and resource risk."],
|
|
["repair", "Apply D=diag(x,1,1,1), clear the common factor (1-z)^2, use cleared companion matrices of degree at most four, and replay 176 scalar polynomial obligations."],
|
|
["source", "Formula-optimization loop: denominator-cleared gauge replay"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 121,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 120}
|
|
],
|
|
"scope": 2807,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "unreduced-rational-gauge-expression-swell"],
|
|
["trigger", "An exact route constructs large nested rational matrix products before extracting and clearing a common denominator."],
|
|
["falsifier", "A TOOL_ERROR, CAPACITY_REJECTED result, timeout, or non-reproducible resource blow-up diagnoses the replay route; it is not a mathematical counterexample."],
|
|
["scope_guard", "The pinned Problem 2.8 rational gauge only; other gauges and resource profiles are not excluded."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 122,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 5},
|
|
{"role": "Supports", "node": 121}
|
|
],
|
|
"scope": 2807,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Rank the denominator-cleared 176-obligation replay above raw rational expansion."],
|
|
["assumptions_avoided", "Raw rational normal form is required, or resource exhaustion means the identity is false."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 130,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "After the stable graph was made exact, the all-column transport still implicitly treated spectral machinery as necessary."],
|
|
["repair", "Conjugate by the exact Pascal matrix, prove every transfer entry and official seed coordinate positive, and use elementary projective min/max contraction."],
|
|
["source", "Formula-optimization loop: positive-cone all-column transport"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 131,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 130}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "unnecessary-spectral-all-column-transport"],
|
|
["trigger", "A route introduces a characteristic quartic, eigenvectors, or a stable graph before testing an exact positive-cone conjugation."],
|
|
["falsifier", "Strict positivity of P B_m P^{-1} and of the official seed coordinates yields an elementary contraction, falsifying necessity but not invalidating a correct spectral proof."],
|
|
["scope_guard", "The official Problem 2.8 balanced transfer, Pascal conjugation, two seed rows, and four columns only."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 132,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 6},
|
|
{"role": "Supports", "node": 131}
|
|
],
|
|
"scope": 2804,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Test exact positive gauges and invariant cones before escalating to spectral machinery; retain the audited spectral route as a fallback."],
|
|
["assumptions_avoided", "Spectral or eigenvector machinery is necessary for the official all-column transport."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
|
|
{
|
|
"id": 140,
|
|
"kind": "Observation",
|
|
"parents": [],
|
|
"scope": 2808,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["observed_claim", "SoftScars were linked to their FailureSignatures with DerivedFrom, overstating an advisory relationship as exact derivation."],
|
|
["repair", "Link every SoftScar to a FailureSignature with ParentRole Supports, and enforce that relation with the standalone interchange validator."],
|
|
["source", "FAMM interchange audit: typed parent-role mismatch"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 141,
|
|
"kind": "FailureSignature",
|
|
"parents": [
|
|
{"role": "ObservedFailure", "node": 140}
|
|
],
|
|
"scope": 2808,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["failure_type", "softscar-parent-role-authority-mismatch"],
|
|
["trigger", "A SoftScar lacks a Supports parent to a FailureSignature or uses DerivedFrom as though the advisory diagnosis were an exact consequence."],
|
|
["falsifier", "The standalone validator fails closed on the missing Supports edge or the invalid role."],
|
|
["scope_guard", "The local advisory interchange bundle only; no canonical DiscoveryStore node or authority is asserted."]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
},
|
|
{
|
|
"id": 142,
|
|
"kind": "SoftScar",
|
|
"parents": [
|
|
{"role": "CheckedBy", "node": 7},
|
|
{"role": "Supports", "node": 141}
|
|
],
|
|
"scope": 2808,
|
|
"payload": {
|
|
"variant": "Fields",
|
|
"fields": [
|
|
["advisory_action", "Validate typed interchange roles before import or advisory use; SoftScar-to-FailureSignature edges must use Supports."],
|
|
["assumptions_avoided", "An advisory diagnosis is an exact derivation from the observed failure."],
|
|
["authority", "ADVISORY"],
|
|
["pruning_authority", "false"]
|
|
]
|
|
},
|
|
"checker_version": 1
|
|
}
|
|
],
|
|
"authorized_hard_scars": [],
|
|
"blocked_promotion_ideas": [
|
|
{
|
|
"id": "p28.blocked-hard-ore-cleared-residuals.v1",
|
|
"source_soft_scar_node": 22,
|
|
"exact_certificate_node": 1,
|
|
"proposed_scope": 2801,
|
|
"candidate_predicate": "Reject a pinned tail-contiguity certificate if any coefficient of one of the four cleared residuals is nonzero.",
|
|
"current_disposition": "NOT_A_HARD_SCAR",
|
|
"blocked_by": "src/discovery/authorization.rs authorizes only TypedFormula linear constraints over Boolean assignments, deletion-minimized CubeRegion witnesses, and the linear-cube-interval checker.",
|
|
"required_before_promotion": "A versioned proof-equation formula type, exact coefficient-region semantics, minimization rule, authorization checker, replay/reauthorization path, and hostile tests.",
|
|
"pruning_authority": false
|
|
},
|
|
{
|
|
"id": "p28.blocked-hard-negative-exponent.v1",
|
|
"source_soft_scar_node": 52,
|
|
"exact_certificate_node": 2,
|
|
"proposed_scope": 2803,
|
|
"candidate_predicate": "Reject a pinned convergence proof route that reverses an inequality when applying exponent -1.",
|
|
"current_disposition": "NOT_A_HARD_SCAR",
|
|
"blocked_by": "The current hard-scar authorizer has no typed rational-inequality proof-route domain and cannot bind this predicate to a CubeRegion in its formula language.",
|
|
"required_before_promotion": "A typed rational-inequality route schema, exact witness replay, exact scope implication, minimization semantics, and authorization/reauthorization tests.",
|
|
"pruning_authority": false
|
|
},
|
|
{
|
|
"id": "p28.blocked-hard-matrix-intertwiner.v1",
|
|
"source_soft_scar_node": 42,
|
|
"exact_certificate_node": 1,
|
|
"proposed_scope": 2802,
|
|
"candidate_predicate": "Reject a pinned scalar-surrogate route when the matrix-to-scalar residual is nonzero.",
|
|
"current_disposition": "NOT_A_HARD_SCAR",
|
|
"blocked_by": "The current HardIndex accepts only reauthorized Boolean-linear cube scars, not polynomial-module identities.",
|
|
"required_before_promotion": "A typed polynomial-module formula, canonical coefficient encoding, exact residual checker, scoped minimizer, and full authorization chain.",
|
|
"pruning_authority": false
|
|
}
|
|
],
|
|
"counts": {
|
|
"nodes": 49,
|
|
"certificate_nodes": 6,
|
|
"observation_nodes": 15,
|
|
"failure_signature_nodes": 14,
|
|
"soft_scar_nodes": 14,
|
|
"authorized_hard_scar_nodes": 0,
|
|
"blocked_promotion_ideas": 3
|
|
}
|
|
}
|