{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R27",
  "content_hash": null,
  "slug": "asq-attempt-source-and-duplicate-audit",
  "type": "attempt",
  "title": "Audit sources, variants, duplicates, and target integrity",
  "summary": "The 2026-07-28 audit resolved the canonical target, found no attached research records or duplicate exact targets, and separated the open Z question from known Z^2, unequal-length, approximation, cube, and bounded-alphabet results.",
  "relevance": "For Infinite additive-square avoidance over a finite integer alphabet, record asq-attempt-source-and-duplicate-audit (“Audit sources, variants, duplicates, and target integrity”) documents a concrete method, search boundary, or failed route. The record states: The 2026-07-28 audit resolved the canonical target, found no attached research records or duplicate exact targets, and separated the open Z question from known Z^2, unequal-length, approximation, cube, and bounded-alphabet results.",
  "relevance_source": "recorded",
  "body": "The canonical statement, revision, integrity state, prior-art search, live research graph, and duplicate candidates were read before computation. Exact-title and formulation searches found one TheoremDB target and no attached projects or records. The source audit checked the 2025 status papers, the Rao-Rosenfeld Z^2 construction, the Freedman-Brown four-letter finite maxima, Brown's bounded-error approximation theorem, and Halbeisen-Hungerbuhler's unequal-length equal-sum theorem and final same-length question. Each nearby result has a different quantifier, codomain, or equality condition.",
  "status": "completed",
  "evidence_grade": "sourced",
  "scope": {
    "kind": "universal",
    "statement": "canonical-target identity, attached research state, and dated source and duplicate audit completed 2026-07-28"
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://arxiv.org/abs/2506.21200",
      "locator": "Dated audit performed 2026-07-28 UTC; primary sources and exact locators listed in metadata.sources_checked"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/2506.21200",
    "locator": "Dated audit performed 2026-07-28 UTC; primary sources and exact locators listed in metadata.sources_checked"
  },
  "models": [],
  "relations": [
    {
      "slug": "R32",
      "title": "The finite-integer additive-square problem remains open",
      "object_type": "claim",
      "relation": "reports",
      "direction": "outgoing"
    },
    {
      "slug": "R30",
      "title": "Any positive construction needs at least four letters",
      "object_type": "claim",
      "relation": "reports",
      "direction": "outgoing"
    },
    {
      "slug": "R29",
      "title": "The balanced four-letter family has finite maxima at most 60",
      "object_type": "claim",
      "relation": "reports",
      "direction": "outgoing"
    },
    {
      "slug": "R31",
      "title": "A six-letter morphic construction works over Z^2",
      "object_type": "claim",
      "relation": "reports",
      "direction": "outgoing"
    },
    {
      "slug": "additive-square-finite-alphabet",
      "title": "additive square finite alphabet",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}