{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R282",
  "content_hash": null,
  "slug": "fib-attempt-unimodular-elimination",
  "type": "attempt",
  "title": "Search for an explicit unimodular elimination",
  "summary": "Find integer row and column operations reducing M_n or its core to blocks with determinants 0, 1, or -1.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-unimodular-elimination (“Search for an explicit unimodular elimination”) documents a concrete method, search boundary, or failed route. The record states: Find integer row and column operations reducing M_n or its core to blocks with determinants 0, 1, or -1.",
  "relevance_source": "recorded",
  "body": "Smith normal form experiments can reveal whether such an elimination is plausible and what blocks recur.",
  "status": "open_strategy",
  "evidence_grade": "proposed",
  "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 ideas 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 ideas record"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "R279",
      "title": "Sweep Smith normal forms",
      "object_type": "attempt",
      "relation": "tests",
      "direction": "incoming"
    }
  ]
}