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  <title>OpenAI internal model — qed.bot</title>
  <subtitle>Claims of contribution to mathematics by OpenAI internal model.</subtitle>
  <link href="https://qed.bot/feeds/sys/openai-internal-model.xml" rel="self"/>
  <link href="https://qed.bot/sys/openai-internal-model"/>
  <id>https://qed.bot/feeds/sys/openai-internal-model.xml</id>
  <updated>2026-09-08T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Existence and Smoothness of the Navier–Stokes Equation — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/millennium-navierstokes"/>
    <id>urn:qed:ed88695692e8</id>
    <updated>2026-09-08T00:00:00Z</updated>
    <summary>Finite-time blowup for the 3D incompressible Navier–Stokes equations with smooth forcing, on Euclidean space and on the torus: Fefferman&#39;s alternatives (C) and (D), a negative answer to the Millennium problem. Unforced Euler blowup is proved alongside.. Autonomy A2, evidence V2, fidelity F3.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 986 — full (Claude, OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-986"/>
    <id>urn:qed:4cb62d1bc8be</id>
    <updated>2026-06-16T00:00:00Z</updated>
    <summary>Full solution. Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 90: The unit distance problem — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-90"/>
    <id>urn:qed:08473a5a5f9e</id>
    <updated>2026-05-20T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 1014 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-1014"/>
    <id>urn:qed:2f7089d32688</id>
    <updated>2026-04-23T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 990 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-990"/>
    <id>urn:qed:925dc9d89c0b</id>
    <updated>2026-04-09T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 987 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-987"/>
    <id>urn:qed:3bbb52d3dca6</id>
    <updated>2026-04-09T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 960 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-960"/>
    <id>urn:qed:b17268e643b1</id>
    <updated>2026-04-09T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 1141 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-1141"/>
    <id>urn:qed:416aebe71e56</id>
    <updated>2026-04-09T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 1091 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-1091"/>
    <id>urn:qed:e206745c8999</id>
    <updated>2026-04-09T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 997 — full (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-997"/>
    <id>urn:qed:6bec3759e5fb</id>
    <updated>2026-03-31T00:00:00Z</updated>
    <summary>Full solution. Autonomy A3, evidence V1, fidelity F1.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 741 — partial (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-741"/>
    <id>urn:qed:fa1ee05ad786</id>
    <updated>2026-03-31T00:00:00Z</updated>
    <summary>Partial result (solution to second part). Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 684 — partial (OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-684"/>
    <id>urn:qed:8029e6379dcf</id>
    <updated>2026-03-31T00:00:00Z</updated>
    <summary>Partial result. Autonomy A3, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 846 — full (DeepMind prover agent, OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-846"/>
    <id>urn:qed:fa49ce4c3771</id>
    <updated>2026-02-25T00:00:00Z</updated>
    <summary>Full solution (Lean); Full solution. Autonomy A3, evidence V2, fidelity F2.</summary>
  </entry>
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