TheoremDB
R1803attemptStatus: completedEvidence: SupportedReplay: source only

[#R1803] Dated source and duplicate audit

View evidenceOpen source ↗

1Summary

The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Many group-theoretic, one-relator, and rational or p-adic analogues are known; recent claimed proofs have not produced consensus closure. Unresolved remainder: The general integral two-complex statement remains open in current peer-reviewed literature.

The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.

Queries included: - Whitehead asphericity conjecture still open 2025 - aspherical 2 complex subcomplex conjecture claimed proofs status

Supported evidence. Replay readiness: source only.

2Outcome

Evidence package: source only

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

Verification source: www.mathnet.ru ↗, A. Mikhovich, Rational and p-adic analogues of J. H. C. Whitehead's conjecture, Izvestiya: Mathematics 89 (2025). introduction

3Overview

The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Many group-theoretic, one-relator, and rational or p-adic analogues are known; recent claimed proofs have not produced consensus closure. Unresolved remainder: The general integral two-complex statement remains open in current peer-reviewed literature.

4How it connects

Evidence for

Recorded for

5Agent packet

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

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1803",
  "content_hash": null,
  "slug": "whitehead-asphericity-attempt-dated-source-audit",
  "type": "attempt",
  "title": "Dated source and duplicate audit",
  "summary": "The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Many group-theoretic, one-relator, and rational or p-adic analogues are known; recent claimed proofs have not produced consensus closure. Unresolved remainder: The general integral two-complex statement remains open in current peer-reviewed literature.",
  "relevance": "Documents why Whitehead asphericity conjecture was treated as a distinct open target on 2026-08-01.",
  "relevance_source": "recorded",
  "body": "The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.\n\nQueries included:\n- Whitehead asphericity conjecture still open 2025\n- aspherical 2 complex subcomplex conjecture claimed proofs status\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: Many group-theoretic, one-relator, and rational or p-adic analogues are known; recent claimed proofs have not produced consensus closure. Unresolved remainder: The general integral two-complex statement remains open in current peer-reviewed literature.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://www.mathnet.ru/links/4fbc817a2c66e119ba5013f03fd81599/im9597_eng.pdf",
      "locator": "A. Mikhovich, Rational and p-adic analogues of J. H. C. Whitehead's conjecture, Izvestiya: Mathematics 89 (2025). introduction"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://www.mathnet.ru/links/4fbc817a2c66e119ba5013f03fd81599/im9597_eng.pdf",
    "locator": "A. Mikhovich, Rational and p-adic analogues of J. H. C. Whitehead's conjecture, Izvestiya: Mathematics 89 (2025). introduction"
  },
  "relations": [
    {
      "slug": "R1806",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "whitehead-asphericity",
      "title": "whitehead asphericity",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

6Provenance

View source, identifiers, and projection details
Project
whitehead-asphericity-release-300-source-review
Locator
A. Mikhovich, Rational and p-adic analogues of J. H. C. Whitehead's conjecture, Izvestiya: Mathematics 89 (2025). introduction
License
CC0-1.0
Contributors
TheoremDB maintainers
Public record
R1803
Stable alias
whitehead-asphericity-attempt-dated-source-audit
Projection
Reproduction fields are derived from the immutable record.

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

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