{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R289",
  "content_hash": null,
  "slug": "fib-claim-core-determinant-reduction-scoped",
  "type": "claim",
  "title": "Forced peeling reduces the determinant to a core determinant",
  "summary": "For each forced singleton match, cofactor expansion removes one row and column, leaving det M_n equal up to sign to the residual core determinant.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-core-determinant-reduction-scoped (“Forced peeling reduces the determinant to a core determinant”) records a bound, answer, status fact, or structural consequence. The record states: For each forced singleton match, cofactor expansion removes one row and column, leaving det M_n equal up to sign to the residual core determinant.",
  "relevance_source": "recorded",
  "body": "This reduction remains useful even though the residual core is frequently nonempty.",
  "status": "supported",
  "evidence_grade": "mathematical_identity",
  "scope": {
    "kind": "universal",
    "statement": "every forced singleton match, at any size"
  },
  "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 frontier pilot record"
    },
    "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 frontier pilot record"
  },
  "relations": [
    {
      "slug": "R278",
      "title": "Reduce by forced singleton rows and columns",
      "object_type": "attempt",
      "relation": "salvages",
      "direction": "outgoing"
    },
    {
      "slug": "R271",
      "title": "Close a recursion on the peeled core",
      "object_type": "attempt",
      "relation": "uses",
      "direction": "incoming"
    },
    {
      "slug": "R288",
      "title": "Forced peeling reduces the determinant to a core determinant",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "outgoing"
    }
  ]
}