TheoremDBSearch

Problem packetResearch packetR260

R260Executable evidence

Residual-core index samples

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Authored summary

The checker can emit the surviving row and column sets after forced peeling for each n.

Executable material is recorded. Successful replay is a separate check.

Recorded status: available

Recorded scope: residual cores emitted for sizes 1 to 120

Complete recorded scope and conditions
{
  "kind": "bounded",
  "statement": "residual cores emitted for sizes 1 to 120",
  "bounds": {
    "n": {
      "min": 1,
      "max": 120
    }
  },
  "exhaustive": true
}

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Residual cores appear on Zeckendorf-sparse symmetric index sets

Authored record and scope
Authored title
Residual-core index samples
Record type
artifact
Stored status
available
Evidence grade
executable
Recorded scope data
{ "kind": "bounded", "statement": "residual cores emitted for sizes 1 to 120", "bounds": { "n": { "min": 1, "max": 120 } }, "exhaustive": true }
Linked research record IDs
R290

2Authored explanation

Persisting these samples through n=500 is the next data-collection step for inferring a Zeckendorf index map.

Continue this work
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 ↗, research/fibonacci/checks.py

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

Recorded artifact fields

4How it connects

Replaces

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": "R260",
  "content_hash": null,
  "slug": "fib-artifact-core-index-samples-scoped",
  "type": "artifact",
  "title": "Residual-core index samples",
  "summary": "The checker can emit the surviving row and column sets after forced peeling for each n.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-core-index-samples-scoped (“Residual-core index samples”) supplies evidence or a replay used to check the packet. The record states: The checker can emit the surviving row and column sets after forced peeling for each n.",
  "relevance_source": "recorded",
  "body": "Persisting these samples through n=500 is the next data-collection step for inferring a Zeckendorf index map.",
  "status": "available",
  "evidence_grade": "executable",
  "scope": {
    "kind": "bounded",
    "statement": "residual cores emitted for sizes 1 to 120",
    "bounds": {
      "n": {
        "min": 1,
        "max": 120
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "derived_dataset",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "research/fibonacci/checks.py"
    },
    "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": "research/fibonacci/checks.py"
  },
  "models": [],
  "relations": [
    {
      "slug": "R290",
      "title": "Residual cores appear on Zeckendorf-sparse symmetric index sets",
      "object_type": "claim",
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      "direction": "outgoing"
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    {
      "slug": "R259",
      "title": "Residual-core index samples",
      "object_type": "artifact",
      "relation": "supersedes",
      "direction": "outgoing",
      "metadata": {
        "reason": "This revision records the reviewed scope explicitly."
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}

6Provenance

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