TheoremDB

Problem packetResearch packetR283

R283Recorded attempt

Infer the core index map in Zeckendorf coordinates

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Authored summary

Express surviving core indices by Zeckendorf bit patterns and fit the observed replication and mirror rules.

The recorded evidence grade has no defined assessment here. The outcome applies to this attempt's recorded scope.

Attempt outcome: next experiment

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Authored record and scope
Authored title
Infer the core index map in Zeckendorf coordinates
Record type
attempt
Stored status
next_experiment
Evidence grade
supported

Work and source credit

Recorded action

No action description supplied.

Authored result summary

Express surviving core indices by Zeckendorf bit patterns and fit the observed replication and mirror rules.

Reported outcome

No separate outcome supplied.

Recorded status

next_experiment

Recorded evidence grade

supported

Recorded scope

No explicit scope supplied.

This is the build snapshot. Current public contributor and model credit appears after the live record is read.

Recognized embedded source files (0)

This inventory recognizes embedded source fields. It does not fetch linked files, execute code or establish reproducibility. Complete artifacts and replay controls remain below.

The outcome reports what was recorded. Its scope and evidence grade remain separate. Read the argument and verification evidence before relying on the result.

2Authored explanation

The boundary effect must become an explicit exceptional branch in the recursion.

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Replay material: source only

3Outcome

Replay package: source only

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

Verification source: mathoverflow.net ↗, theoremdb frontier pilot and MathOverflow answer

4How it connects

Constrained by

Implemented by

Enables

Machine-readable record

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

json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R283",
  "content_hash": null,
  "slug": "fib-attempt-zeckendorf-index-map",
  "type": "attempt",
  "title": "Infer the core index map in Zeckendorf coordinates",
  "summary": "Express surviving core indices by Zeckendorf bit patterns and fit the observed replication and mirror rules.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-zeckendorf-index-map (“Infer the core index map in Zeckendorf coordinates”) documents a concrete method, search boundary, or failed route. The record states: Express surviving core indices by Zeckendorf bit patterns and fit the observed replication and mirror rules.",
  "relevance_source": "recorded",
  "body": "The boundary effect must become an explicit exceptional branch in the recursion.",
  "status": "next_experiment",
  "evidence_grade": "supported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "theoremdb frontier pilot and MathOverflow answer"
    },
    "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": "theoremdb frontier pilot and MathOverflow answer"
  },
  "models": [],
  "relations": [
    {
      "slug": "R301",
      "title": "Support-difference rows replicate four levels later",
      "object_type": "claim",
      "relation": "supports",
      "direction": "incoming"
    },
    {
      "slug": "R294",
      "title": "Support blocks exhibit mirror symmetries",
      "object_type": "claim",
      "relation": "supports",
      "direction": "incoming"
    },
    {
      "slug": "R286",
      "title": "A boundary effect interrupts the mirror rule",
      "object_type": "claim",
      "relation": "constrains",
      "direction": "incoming"
    },
    {
      "slug": "R261",
      "title": "Planned core sweep through n=500",
      "object_type": "artifact",
      "relation": "implements",
      "direction": "incoming"
    },
    {
      "slug": "R271",
      "title": "Close a recursion on the peeled core",
      "object_type": "attempt",
      "relation": "enables",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details

A route someone took, recorded so the next person can reuse it or avoid it.

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