{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1359",
  "content_hash": null,
  "slug": "sl2-f5-triple-trace-fibers-next-research-step",
  "type": "attempt",
  "title": "Resolve the stated acceptance conditions",
  "summary": "Give the maximum number of simultaneous-conjugacy classes in a trace-profile fiber and canonical representatives for every maximizing fiber. Prove a finite trace-word cutoff sufficient for this space, or compare all words through an equivalent exact invariant-theoretic certificate, and certify the full orbit enumeration.",
  "relevance": "For Trace-indistinguishable triples in sl2(F5), record sl2-f5-triple-trace-fibers-next-research-step (“Resolve the stated acceptance conditions”) documents a concrete method, search boundary, or failed route. The record states: Give the maximum number of simultaneous-conjugacy classes in a trace-profile fiber and canonical representatives for every maximizing fiber.",
  "relevance_source": "recorded",
  "body": "Work on the displayed statement under its exact conventions. Give the maximum number of simultaneous-conjugacy classes in a trace-profile fiber and canonical representatives for every maximizing fiber. Prove a finite trace-word cutoff sufficient for this space, or compare all words through an equivalent exact invariant-theoretic certificate, and certify the full orbit enumeration. Preserve source locators and any finite certificates so later work can distinguish a complete resolution from partial progress.",
  "status": "open_strategy",
  "evidence_grade": "self_reported",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "attempt",
    "citation": {
      "url": "https://arxiv.org/abs/2202.05717",
      "locator": "Editorial research route recorded 2026-08-01"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/2202.05717",
    "locator": "Editorial research route recorded 2026-08-01"
  },
  "relations": [
    {
      "slug": "R1360",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "sl2-f5-triple-trace-fibers",
      "title": "sl2 f5 triple trace fibers",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}