{
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  "ref": "R1773",
  "content_hash": null,
  "slug": "three-dimensional-euler-regularity-status-packet-quality-20260801",
  "type": "claim",
  "title": "Dated status and exact unresolved remainder",
  "summary": "Unresolved in this packet after the dated source check. Strongest checked result: Rigorous blowup exists with a boundary and for whole-space C^{1,alpha} data smooth away from one point. Smooth finite-energy whole-space or periodic data remain unresolved. Exact unresolved remainder: Prove global smoothness for every admissible smooth whole-space or periodic datum, or rigorously prove finite-time breakdown for one.",
  "relevance": "For Three-dimensional Euler regularity, this successor gives readable dated status prose and the exact remaining research boundary.",
  "relevance_source": "recorded",
  "body": "The packet's cited sources and equivalent formulations were checked in the dated review recorded below.\n\nStrongest checked result: Rigorous blowup exists with a boundary and for whole-space C^{1,alpha} data smooth away from one point. Smooth finite-energy whole-space or periodic data remain unresolved.\n\nExact unresolved remainder: Prove global smoothness for every admissible smooth whole-space or periodic datum, or rigorously prove finite-time breakdown for one.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/math/0703405",
      "locator": "Abstract and survey"
    },
    "missing": [
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      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/math/0703405",
    "locator": "Abstract and survey"
  },
  "relations": [
    {
      "slug": "R1164",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "supersedes",
      "direction": "outgoing"
    },
    {
      "slug": "three-dimensional-euler-regularity",
      "title": "three dimensional euler regularity",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}