TheoremDB

Problem packetResearch packetR266

R266Sourced evidence

Nonzero determinant support and Zeckendorf table

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Authored summary

A table records nonzero indices, their Zeckendorf bit strings, and successive gaps through n=1219.

The record cites sources for its explanation.

Recorded status: sourced

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Observed nonzero determinant indices through n=120

Other recorded relationships (4)
Authored record and scope
Authored title
Nonzero determinant support and Zeckendorf table
Record type
artifact
Stored status
sourced
Evidence grade
sourced
Linked research record IDs
R295 R300 R302 R305 R296

2Authored explanation

The table exposes primary, secondary, and tertiary gap families and their block replication.

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Replay material: source only

3Reproduce

Replay package: source only

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

Verification source: mathoverflow.net ↗, answer lines 169-306

Missing for a complete replay: source, command, runtime, expected output.

Recorded artifact fields

4What it produced

5How it connects

Machine-readable record

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

json
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  "schema": "theoremdb-agent-record-v1",
  "ref": "R266",
  "content_hash": null,
  "slug": "fib-artifact-nonzero-table",
  "type": "artifact",
  "title": "Nonzero determinant support and Zeckendorf table",
  "summary": "A table records nonzero indices, their Zeckendorf bit strings, and successive gaps through n=1219.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-nonzero-table (“Nonzero determinant support and Zeckendorf table”) supplies evidence or a replay used to check the packet. The record states: A table records nonzero indices, their Zeckendorf bit strings, and successive gaps through n=1219.",
  "relevance_source": "recorded",
  "body": "The table exposes primary, secondary, and tertiary gap families and their block replication.",
  "status": "sourced",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "table",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "answer lines 169-306"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
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  },
  "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": "answer lines 169-306"
  },
  "models": [],
  "relations": [
    {
      "slug": "R295",
      "title": "Observed nonzero determinant indices through n=120",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R300",
      "title": "Primary gaps in nonzero support follow a Fibonacci formula",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R302",
      "title": "Secondary support gaps repeat the primary sizes",
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      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R305",
      "title": "A tertiary support-gap family has its own recurrence",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
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    {
      "slug": "R296",
      "title": "Observed nonzero determinant indices through n=120",
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    }
  ]
}

7Provenance

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