{
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  "source": "vibemath",
  "problem_id": "vibemathed:erdos-7",
  "title": "Erdős Problem #7",
  "canonical_statement": "Can there be a finite covering system of the integers with distinct moduli, all odd and greater than one?",
  "plain_summary": "VibeMathed reports this item as retracted. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
  "current_status": "retracted",
  "solution_events": [
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      "problem_id": "vibemathed:erdos-7",
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      "occurred_at": null,
      "title": "erdosproblems.com/7",
      "summary": "VibeMathed reports this item as retracted. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
      "ai_contribution": "unclear",
      "attempt_ids": [
        "vibemathed:erdos-7:attempt"
      ],
      "method_family_ids": [
        "vibemathed:erdos-7:method"
      ],
      "source_assertion_ids": [
        "vibemathed:erdos-7:assertion"
      ]
    }
  ],
  "attempts": [
    {
      "id": "vibemathed:erdos-7:attempt",
      "problem_id": "vibemathed:erdos-7",
      "model": null,
      "provider": null,
      "attempted_at": null,
      "human_collaborators": [],
      "exposure": "unknown",
      "prompt_public": null,
      "outcome": null,
      "failed_routes": [],
      "artifacts": [],
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          "kind": "primary-mathematical-source",
          "license": null
        },
        {
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          "url": "https://vibemathed.com/problem/erdos-7",
          "kind": "source-assertion",
          "license": "CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/)"
        }
      ],
      "cost_usd": null,
      "independence": "unknown"
    }
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  "verifications": [
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      "id": "vibemathed:erdos-7:verification",
      "problem_id": "vibemathed:erdos-7",
      "solution_event_id": "vibemathed:erdos-7:event",
      "level": "rejected",
      "mathematical_correctness": "rejected",
      "statement_fidelity": "unaudited",
      "peer_review": "none",
      "verifier": "VibeMathed (source-reported label)",
      "verified_at": null,
      "note": "VibeMathed records the claim as retracted after audit.",
      "sources": [
        {
          "label": "VibeMathed: Erdős Problem #7",
          "url": "https://vibemathed.com/problem/erdos-7",
          "kind": "source-assertion",
          "license": "CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/)"
        },
        {
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      "url": "https://www.erdosproblems.com/7",
      "kind": "primary-mathematical-source",
      "license": null
    },
    {
      "label": "VibeMathed: Erdős Problem #7",
      "url": "https://vibemathed.com/problem/erdos-7",
      "kind": "source-assertion",
      "license": "CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/)"
    }
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  "recommended_exposure": "result_only",
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    {
      "id": "vibemathed:erdos-7:signal:watch_only",
      "problem_id": "vibemathed:erdos-7",
      "kind": "watch_only",
      "reason": "Current public evidence does not meet the default replay threshold.",
      "generated_at": "2026-08-17T15:54:39.560Z"
    }
  ],
  "uncertainties": [
    "VibeMath has not independently verified the mathematical claim.",
    "AI-attempt independence and training-data exposure are unknown unless explicitly documented."
  ],
  "generated_at": "2026-08-17T15:54:39.560Z"
}