{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R25",
  "content_hash": null,
  "slug": "asq-attempt-projection-361-288",
  "type": "attempt",
  "title": "The smallest height-361 projection survivor fails at 250952",
  "summary": "The projected h6 candidate with direction (361,288) survives 200,000 symbols and then has its first scalar additive square ending at position 250,952.",
  "relevance": "For Infinite additive-square avoidance over a finite integer alphabet, record asq-attempt-projection-361-288 (“The smallest height-361 projection survivor fails at 250952”) documents a concrete method, search boundary, or failed route. The record states: The projected h6 candidate with direction (361,288) survives 200,000 symbols and then has its first scalar additive square ending at position 250,952.",
  "relevance_source": "recorded",
  "body": "The direction maps the six h6 letters a,b,c,d,e,f to 0,649,1010,288,722,361, giving the sorted primitive integer alphabet {0,288,361,649,722,1010}. An exact end-major, half-length-minor scan found the first equal-sum adjacent blocks at zero-based interval [148708,250952). Each block has length 51,122 and sum 25,859,725. The full scanner tested 15,744,152,222 pairs through that witness. An independently written continuation scanner checked ends after 200,000 and matched the endpoint, start, half-length, and sum.",
  "status": "failed",
  "evidence_grade": "computational",
  "scope": {
    "kind": "bounded",
    "statement": "the projection (p,q)=(361,288) of h6^omega(a) through the first scalar additive square ending at 250952",
    "bounds": {
      "prefix_length": {
        "min": 1,
        "max": 250952
      },
      "p": {
        "min": 361,
        "max": 361
      },
      "q": {
        "min": 288,
        "max": 288
      },
      "half_length": {
        "min": 51122,
        "max": 51122
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "locator": "Exact C++20 scan of one projected Rao-Rosenfeld h6 fixed point, executed and independently replayed on 2026-07-28"
    },
    "runtime_seconds": 13.32,
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": null,
    "locator": "Exact C++20 scan of one projected Rao-Rosenfeld h6 fixed point, executed and independently replayed on 2026-07-28"
  },
  "models": [],
  "continuation": null,
  "relations": [
    {
      "slug": "R21",
      "title": "First-square scanner for one h6 projection",
      "object_type": "artifact",
      "relation": "uses",
      "direction": "outgoing"
    },
    {
      "slug": "R26",
      "title": "Screen rational projections of the Z^2 construction",
      "object_type": "attempt",
      "relation": "tests",
      "direction": "outgoing"
    },
    {
      "slug": "R24",
      "title": "Search for a low-expansion morphism and certify it",
      "object_type": "attempt",
      "relation": "informs",
      "direction": "outgoing"
    },
    {
      "slug": "additive-square-finite-alphabet",
      "title": "additive square finite alphabet",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}