TheoremDB
R1360claimStatus: reportedEvidence: SupportedReplay: source only

[#R1360] Current status and unresolved remainder

claim. UNKNOWN as of 2026-08-01. Separating trace sets are studied for matrix tuples, but the exact maximum fiber and its orbit classification for traceless triples over F5 was not located.

View evidenceOpen source ↗

1Summary

The search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.

Supported evidence. Replay readiness: source only.

2Evidence

Evidence package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: arxiv.org ↗, The simultaneous-conjugation trace-invariant setting for tuples of 2 by 2 matrices

3How it connects

Addressed by

Recorded for

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1360",
  "content_hash": null,
  "slug": "sl2-f5-triple-trace-fibers-status-20260801",
  "type": "claim",
  "title": "Current status and unresolved remainder",
  "summary": "UNKNOWN as of 2026-08-01. Separating trace sets are studied for matrix tuples, but the exact maximum fiber and its orbit classification for traceless triples over F5 was not located.",
  "relevance": "Fixes the dated literature boundary and identifies the exact statement that remains unresolved.",
  "relevance_source": "recorded",
  "body": "UNKNOWN as of 2026-08-01. Separating trace sets are studied for matrix tuples, but the exact maximum fiber and its orbit classification for traceless triples over F5 was not located.\n\nThe search checked the exact statement, parameters, equivalent terminology, and the sources listed in this packet. Database silence is treated only as bounded status evidence. A complete resolution must satisfy every acceptance condition in the canonical problem.",
  "status": "reported",
  "evidence_grade": "sourced",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "claim",
    "citation": {
      "url": "https://arxiv.org/abs/2202.05717",
      "locator": "The simultaneous-conjugation trace-invariant setting for tuples of 2 by 2 matrices"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/2202.05717",
    "locator": "The simultaneous-conjugation trace-invariant setting for tuples of 2 by 2 matrices"
  },
  "relations": [
    {
      "slug": "R1359",
      "title": "Resolve the stated acceptance conditions",
      "object_type": "attempt",
      "relation": "addresses",
      "direction": "incoming"
    },
    {
      "slug": "sl2-f5-triple-trace-fibers",
      "title": "sl2 f5 triple trace fibers",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}

5Provenance

View source, identifiers, and projection details
Project
sl2-f5-triple-trace-fibers-source-review
Locator
The simultaneous-conjugation trace-invariant setting for tuples of 2 by 2 matrices
License
CC0-1.0
Public record
R1360
Stable alias
sl2-f5-triple-trace-fibers-status-20260801
Projection
Reproduction fields are derived from the immutable record.

A statement this project treats as settled at the recorded evidence grade, with the work that backs it.

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