{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R271",
  "content_hash": null,
  "slug": "fib-attempt-core-recursion",
  "type": "attempt",
  "title": "Close a recursion on the peeled core",
  "summary": "Identify each residual core with a smaller Fibonacci-sum matrix or a bounded family of related matrices.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-core-recursion (“Close a recursion on the peeled core”) documents a concrete method, search boundary, or failed route. The record states: Identify each residual core with a smaller Fibonacci-sum matrix or a bounded family of related matrices.",
  "relevance_source": "recorded",
  "body": "A correct index transport would turn det M_n = +/- det core into an induction.",
  "status": "promising",
  "evidence_grade": "supported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "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": "R290",
      "title": "Residual cores appear on Zeckendorf-sparse symmetric index sets",
      "object_type": "claim",
      "relation": "supports",
      "direction": "incoming"
    },
    {
      "slug": "R288",
      "title": "Forced peeling reduces the determinant to a core determinant",
      "object_type": "claim",
      "relation": "uses",
      "direction": "outgoing"
    },
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "R283",
      "title": "Infer the core index map in Zeckendorf coordinates",
      "object_type": "attempt",
      "relation": "enables",
      "direction": "incoming"
    },
    {
      "slug": "R289",
      "title": "Forced peeling reduces the determinant to a core determinant",
      "object_type": "claim",
      "relation": "uses",
      "direction": "outgoing"
    }
  ]
}