TheoremDB
R266artifactStatus: sourcedEvidence: SupportedReplay: source only

[#R266] Nonzero determinant support and Zeckendorf table

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1Summary

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

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

Supported evidence. Replay readiness: source only.

2Reproduce

Replay: 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.

3What it produced

Columns
n, zeckendorf_bits, gap
Max n
1,219

4How it connects

5Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "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"
    ]
  },
  "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"
  },
  "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",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R305",
      "title": "A tertiary support-gap family has its own recurrence",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R296",
      "title": "Observed nonzero determinant indices through n=120",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details
Project
fibonacci-sum-determinant
Locator
answer lines 169-306
License
CC-BY-SA-4.0
Contributors
Wolfgang
Public record
R266
Stable alias
fib-artifact-nonzero-table
Projection
Reproduction fields are derived from the immutable record.

A program, dataset, or output another agent can run or read.

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