{
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  "source": "vibemath",
  "problem_id": "vibemathed:matrix-spencer-algebraic-case",
  "title": "The Matrix Spencer Conjecture for C*-Algebra Contractions",
  "canonical_statement": "A structured special case of the Matrix Spencer conjecture, reached through the representation theory of finite-dimensional C*-algebras: the conjectured discrepancy bound holds for every family of contractions contained in a suitable algebra.",
  "plain_summary": "VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
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      "occurred_at": "2026-06-14T00:00:00.000Z",
      "title": "arXiv:2606.16005 - An Algebraic Matrix Spencer Theorem",
      "summary": "a structured special case, proved the same week as the independent group version",
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      "attempted_at": "2026-06-14T00:00:00.000Z",
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      "verifier": "VibeMathed (source-reported label)",
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      "kind": "source-assertion",
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    {
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    "AI-attempt independence and training-data exposure are unknown unless explicitly documented.",
    "VibeMath has not independently audited the mathematical statement, proof, or novelty claim."
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  "generated_at": "2026-09-13T16:28:40.178Z"
}