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  "problem_id": "vibemathed:erdos-593-1177-obligatory-triple-systems",
  "title": "Erdos Problems #593 and #1177",
  "canonical_statement": "Erdos Problem #593 asks which finite triple systems occur in every uncountably chromatic triple system. The answer is exactly the class generated from private-vertex expansions of finite bipartite graphs by finite disjoint unions and one-point amalgamations. Problem #1177 on exact spectra is settled alongside it.",
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      "title": "arXiv:2606.24882 - A Resolution of Erdos Problems 593 and 1177: Obligatory Triple Systems and Exact Spectra",
      "summary": "settles two numbered Erdos problems at once",
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  "generated_at": "2026-09-13T16:28:40.178Z"
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