{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R304",
  "content_hash": null,
  "slug": "fib-claim-singleton-peeling-fails-scoped",
  "type": "claim",
  "title": "Singleton peeling usually leaves a residual core",
  "summary": "Repeated forced row or column matching leaves a nonempty core for 110 of the first 120 matrices.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-singleton-peeling-fails-scoped (“Singleton peeling usually leaves a residual core”) records a bound, answer, status fact, or structural consequence. The record states: Repeated forced row or column matching leaves a nonempty core for 110 of the first 120 matrices.",
  "relevance_source": "recorded",
  "body": "Local forced-match elimination cannot by itself explain the determinant bound. The cancellation occurs inside a growing residual core.",
  "status": "reproduced",
  "evidence_grade": "reproduced",
  "scope": {
    "kind": "bounded",
    "statement": "every size from 1 to 120",
    "bounds": {
      "n": {
        "min": 1,
        "max": 120
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "theoremdb roadmap and research/fibonacci/checks.py"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "theoremdb roadmap and research/fibonacci/checks.py"
  },
  "relations": [
    {
      "slug": "R278",
      "title": "Reduce by forced singleton rows and columns",
      "object_type": "attempt",
      "relation": "refutes_as_complete_method",
      "direction": "outgoing"
    },
    {
      "slug": "R270",
      "title": "Singleton-peeling residual-core sweep",
      "object_type": "artifact",
      "relation": "evidences",
      "direction": "incoming"
    },
    {
      "slug": "R303",
      "title": "Singleton peeling usually leaves a residual core",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "outgoing"
    }
  ]
}