TheoremDB

Problem packetResearch packetR308

R308Self-reported evidence

The full matrix may be unimodular

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Link to a section

Authored summary

Numerical evidence suggests every square minor relevant to the full determinant remains bounded as required for unimodularity.

The author reports this result.

Recorded status: conjectured

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Fibonacci-sum indicator determinant conjecture

Authored record and scope
Authored title
The full matrix may be unimodular
Record type
claim
Stored status
conjectured
Evidence grade
self_reported
Linked research record IDs
fib-problem-determinant-range

2Authored explanation

The source phrases this as a question. The evidence recorded here covers the full determinants only.

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Replay material: source only

3Evidence

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, question line 67

4How it connects

Strengthens

Strengthened by

Replaced by

Machine-readable record

Copy the structured record when continuing this work with an agent.

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R308",
  "content_hash": null,
  "slug": "fib-claim-unimodular",
  "type": "claim",
  "title": "The full matrix may be unimodular",
  "summary": "Numerical evidence suggests every square minor relevant to the full determinant remains bounded as required for unimodularity.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-unimodular (“The full matrix may be unimodular”) records a bound, answer, status fact, or structural consequence. The record states: Numerical evidence suggests every square minor relevant to the full determinant remains bounded as required for unimodularity.",
  "relevance_source": "recorded",
  "body": "The source phrases this as a question. The evidence recorded here covers the full determinants only.",
  "status": "conjectured",
  "evidence_grade": "self_reported",
  "scope": null,
  "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": "question line 67"
    },
    "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": "question line 67"
  },
  "models": [],
  "relations": [
    {
      "slug": "fib-problem-determinant-range",
      "title": "Fibonacci-sum indicator determinant conjecture",
      "object_type": "problem",
      "relation": "strengthens",
      "direction": "outgoing"
    },
    {
      "slug": "R306",
      "title": "The matrices may be totally unimodular",
      "object_type": "claim",
      "relation": "strengthens",
      "direction": "incoming"
    },
    {
      "slug": "R309",
      "title": "Every nonsingular Fibonacci-sum matrix is unimodular",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "incoming",
      "metadata": {
        "reason": "This revision records the independent-review boundary explicitly."
      }
    }
  ]
}

6Provenance

View source, identifiers, and projection details

A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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