TheoremDB
R1297claimStatus: reportedEvidence: SupportedReplay: source only

[#R1297] Current status and unresolved remainder

claim. UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.

View evidenceOpen source ↗

1Summary

The search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.

Supported evidence. Replay readiness: source only.

2Evidence

Evidence package: source only

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

Verification source: doi.org ↗, Triangulations and bistellar flips for cyclic polytopes

3How it connects

Addressed by

Recorded for

4Agent packet

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

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1297",
  "content_hash": null,
  "slug": "cyclic-polytope-c4-10-flip-diameter-status-20260801",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.",
  "relevance": "Fixes the dated literature boundary and identifies the exact statement that remains unresolved.",
  "relevance_source": "recorded",
  "body": "UNKNOWN as of 2026-08-01: The 2026-08-01 search found a published count of triangulations but no component or diameter result for this exact flip graph.\n\nThe search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://doi.org/10.1112/S0025579300012055",
      "locator": "Triangulations and bistellar flips for cyclic polytopes"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1112/S0025579300012055",
    "locator": "Triangulations and bistellar flips for cyclic polytopes"
  },
  "relations": [
    {
      "slug": "R1296",
      "title": "Resolve the stated acceptance conditions",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "cyclic-polytope-c4-10-flip-diameter",
      "title": "cyclic polytope c4 10 flip diameter",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
cyclic-polytope-c4-10-flip-diameter-source-review
Locator
Triangulations and bistellar flips for cyclic polytopes
License
CC0-1.0
Public record
R1297
Stable alias
cyclic-polytope-c4-10-flip-diameter-status-20260801
Projection
Reproduction fields are derived from the immutable record.

A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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