# Research Stack Mathematical Claim Registry
# -----------------------------------------------------------------------------
# Single source of truth for tracked mathematical claims and their current
# rigor level. See docs/math-first-tooling.md for the math-first contract.
#
# Schema (per entry):
#   id:            slug, kebab-case, stable across renames.
#   title:         one-line natural-language statement of the claim.
#   status:        one of:
#                    conjecture          - asserted, no machine evidence yet
#                    verified-by-ai      - has at least one DeepSeek review
#                                          receipt and human spot-check
#                    formally-proven     - Lean proof builds in lake
#                    published           - peer-reviewed publication exists
#   lean:          (optional) repo-relative Lean source or `theorem` symbol
#                  that carries the proof obligation.
#   review_receipts:
#                  (optional) list of repo-relative `*.receipt.json` paths
#                  emitted by ollama_deepseek_review_emitter.py.
#   sources:       (optional) list of repo-relative supporting docs, scripts,
#                  or external citations.
#   notes:         (optional) free-form prose; keep short.
#
# The math-check CI workflow validates this file against the corresponding
# JSON Schema at shared-data/schemas/claims-registry.schema.json (see
# docs/math-first-tooling.md).
# -----------------------------------------------------------------------------

claims:
  - id: prime-gap-entropy-collapse
    title: >-
      The prime-gap entropy collapse detector identifies the k=21 entropy
      threshold predicted by the Arithmetic spec.
    status: verified-by-ai
    lean: 0-Core-Formalism/lean/Semantics/Semantics/HCMMR/Kernels/EntropyCollapseDetector.lean
    review_receipts:
      - shared-data/artifacts/deepseek_review/prime_gap_entropy_collapse_deepseek_deepseek-v3.2_20260512T033551Z.receipt.json
      - shared-data/artifacts/deepseek_review/prime_gap_entropy_collapse_deepseek_deepseek-v4-flash_continuation_20260512T033849Z.receipt.json
    sources:
      - 6-Documentation/docs/distilled/ArithmeticSpec_Corrected_2026-05-11.md
      - shared-data/data/stack_solidification/prime_gap_k21_rerun_receipt_2026-05-11.md
    notes: >-
      Continuation receipt covers the truncated tail of the primary review.
      Lean kernel proves the discrete detector; entropy bound itself remains
      a numerical witness.