TheoremDB

Problem packetResearch packetR261

R261Evidence unclassified

Planned core sweep through n=500

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Authored summary

Compute residual cores through n=500, retain exact index sets, and search for a recursive Zeckendorf map.

The recorded evidence grade has no defined assessment here.

Recorded status: planned

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Authored record and scope
Authored title
Planned core sweep through n=500
Record type
artifact
Stored status
planned
Evidence grade
proposed

2Authored explanation

This artifact is specified and awaiting execution and structured export.

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 ↗, theoremdb roadmap

Expected output

[
  "core_indices",
  "core_determinants",
  "zeckendorf_labels"
]

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

Recorded artifact fields

4What it produced

5How it connects

Implements

Machine-readable record

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

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R261",
  "content_hash": null,
  "slug": "fib-artifact-core-sweep-500",
  "type": "artifact",
  "title": "Planned core sweep through n=500",
  "summary": "Compute residual cores through n=500, retain exact index sets, and search for a recursive Zeckendorf map.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-core-sweep-500 (“Planned core sweep through n=500”) supplies evidence or a replay used to check the packet. The record states: Compute residual cores through n=500, retain exact index sets, and search for a recursive Zeckendorf map.",
  "relevance_source": "recorded",
  "body": "This artifact is specified and awaiting execution and structured export.",
  "status": "planned",
  "evidence_grade": "proposed",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "experiment_plan",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "theoremdb roadmap"
    },
    "outputs": [
      "core_indices",
      "core_determinants",
      "zeckendorf_labels"
    ],
    "missing": [
      "source",
      "command",
      "runtime"
    ]
  },
  "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 roadmap"
  },
  "models": [],
  "relations": [
    {
      "slug": "R283",
      "title": "Infer the core index map in Zeckendorf coordinates",
      "object_type": "attempt",
      "relation": "implements",
      "direction": "outgoing"
    }
  ]
}

7Provenance

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