{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1619",
  "content_hash": null,
  "slug": "kashaev-volume-conjecture-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: The conjecture is proved for several knot families and supported by extensive asymptotic calculations and geometric refinements. Unresolved remainder: A proof or counterexample for arbitrary hyperbolic knots remains unknown.",
  "relevance": "Documents why Kashaev volume conjecture for hyperbolic knots 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- Kashaev volume conjecture general hyperbolic knots open 2026\n- volume conjecture proven classes knots current status\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is proved for several knot families and supported by extensive asymptotic calculations and geometric refinements. Unresolved remainder: A proof or counterexample for arbitrary hyperbolic knots remains unknown.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://doi.org/10.1023/A:1007364912784",
      "locator": "R. Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Letters in Mathematical Physics 39 (1997). volume-growth conjecture"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1023/A:1007364912784",
    "locator": "R. Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Letters in Mathematical Physics 39 (1997). volume-growth conjecture"
  },
  "relations": [
    {
      "slug": "R1622",
      "title": "Current status and exact unresolved remainder",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "kashaev-volume-conjecture",
      "title": "kashaev volume conjecture",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}