{
  "checks": [
    {
      "codes_checked": [
        "arxiv:math.DS",
        "arxiv:math.CO",
        "msc2020:37B10",
        "msc2020:68R15"
      ],
      "declarations_checked": [],
      "findings": [],
      "outcome": "neutral",
      "sources_checked": [
        "formalization_metadata",
        "challenge_source",
        "mechanical_report"
      ],
      "step": "classification",
      "summary": "All submitted arXiv and MSC2020 codes are directly relevant to the stated Nivat periodicity result.",
      "trust_level": null
    },
    {
      "codes_checked": [],
      "declarations_checked": [],
      "findings": [],
      "outcome": "neutral",
      "sources_checked": [
        "formalization_metadata",
        "challenge_source",
        "project_readme",
        "submission",
        "mechanical_report",
        "previous_findings",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:formalization.yaml",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:README.md",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:Challenge.lean",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:Solution.lean",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:comparator.json",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:LICENSE",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:paper/nivat.tex",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:STATUS.md",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:docs/PALOMAR.md",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:docs/SOURCE_MAP.md",
        "repository@0d94547e934418c9d1b75fcbb7d6af493e86759d:docs/READING_GUIDE.md"
      ],
      "step": "metadata",
      "summary": "The structured metadata and pinned narrative give a clear, consistent account of provenance, human responsibility, extensive AI involvement, sources, scope, licence, verification, and the absence of human expert review.",
      "trust_level": "qualified"
    },
    {
      "codes_checked": [],
      "declarations_checked": [
        "NivatSubmission.nivat"
      ],
      "findings": [],
      "outcome": "neutral",
      "sources_checked": [
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:Challenge.lean",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:README.md",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:formalization.yaml",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:comparator.json",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:lakefile.toml",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:lean-toolchain"
      ],
      "step": "statement_alignment",
      "summary": "The selected theorem exactly expresses the advertised finite-alphabet rectangular-complexity implication and its single nonzero global-period conclusion.",
      "trust_level": null
    },
    {
      "codes_checked": [],
      "declarations_checked": [
        "NivatSubmission.nivat"
      ],
      "findings": [],
      "outcome": "neutral",
      "sources_checked": [
        "challenge_source",
        "mechanical_report",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:Challenge.lean",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:comparator.json",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:README.md",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:formalization.yaml",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:paper/nivat.tex",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:logs/verification.log",
        "leanprover-community/mathlib4@db584cd6d46c92f209a44c0f1c829460d327499d:Mathlib/Data/Set/Card.lean",
        "leanprover-community/mathlib4@db584cd6d46c92f209a44c0f1c829460d327499d:Mathlib/Data/Int/Interval.lean",
        "leanprover-community/mathlib4@db584cd6d46c92f209a44c0f1c829460d327499d:Mathlib/Data/Int/ConditionallyCompleteOrder.lean",
        "leanprover-community/mathlib4@db584cd6d46c92f209a44c0f1c829460d327499d:Mathlib/Data/Finset/Prod.lean",
        "leanprover-community/mathlib4@db584cd6d46c92f209a44c0f1c829460d327499d:Mathlib/Algebra/Group/Prod.lean"
      ],
      "step": "definition_fidelity",
      "summary": "No material definition-fidelity or auditability problem was identified.",
      "trust_level": "high"
    },
    {
      "codes_checked": [],
      "declarations_checked": [
        "NivatSubmission.nivat"
      ],
      "findings": [],
      "outcome": "neutral",
      "sources_checked": [
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:comparator.json",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:Challenge.lean",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:formalization.yaml",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:README.md",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:paper/nivat.tex",
        "boonsuan/nivat@0d94547e934418c9d1b75fcbb7d6af493e86759d:docs/SOURCE_MAP.md"
      ],
      "step": "literature_notability",
      "summary": "The selected theorem is the full Nivat conjecture, a substantial result with clear research audiences across symbolic dynamics and combinatorics. The repository gives a careful, appropriately qualified account of the principal prior approaches and claims no unsupported novelty or priority.",
      "trust_level": "qualified"
    }
  ],
  "mechanical_report": "https://github.com/PalomarRegistry/PalomarSubmission/actions/runs/34800364154",
  "outcome": "neutral",
  "policy_commit": "e9c8c238f5695b10f75db7175648a1d0195352c1",
  "requested_changes": [],
  "reviewed_at": "2026-09-14T04:31:37Z",
  "reviewer_models": [
    "codex:gpt-5.6-sol"
  ],
  "schema_version": 3,
  "source": {
    "commit": "0d94547e934418c9d1b75fcbb7d6af493e86759d",
    "repository": "boonsuan/nivat"
  },
  "submission_id": "pl82qo90wiyy",
  "summary": "Mechanical verification completed successfully, and the automated editorial review identified no blocking problem with the statement, definitions, presentation, literature account, or research relevance."
}
