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  <title>GPT-6 Astra — qed.bot</title>
  <subtitle>Claims of contribution to mathematics by GPT-6 Astra.</subtitle>
  <link href="https://qed.bot/feeds/sys/gpt-6-astra.xml" rel="self"/>
  <link href="https://qed.bot/sys/gpt-6-astra"/>
  <id>https://qed.bot/feeds/sys/gpt-6-astra.xml</id>
  <updated>2026-09-09T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Existence and Smoothness of the Navier–Stokes Equation — full (GPT-6 Astra)</title>
    <link href="https://qed.bot/s/millennium-navierstokes"/>
    <id>urn:qed:89ef9abfa51b</id>
    <updated>2026-09-09T00:00:00Z</updated>
    <summary>Formalised the Navier–Stokes and Euler results in Lean, checked with Comparator against the Formal Conjectures statements of alternatives (C) and (D).. Autonomy A1, evidence V2, fidelity F3.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the incompressible porous media equation with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-porousmediasmoothforcingblowup"/>
    <id>urn:qed:0ccd14772447</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa&#39;s result with a spatially smooth force.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the 3D incompressible Euler equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-eulersmoothforcingblowup"/>
    <id>urn:qed:58935e97737d</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the inviscid Boussinesq equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-boussinesqsmoothforcingblowup"/>
    <id>urn:qed:3edb0739c066</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Bounded gaps between primes — record (GPT-6 Astra)</title>
    <link href="https://qed.bot/t/primes-bounded-gaps"/>
    <id>urn:qed:e36c3b5ee17d</id>
    <updated>2026-09-03T00:00:00Z</updated>
    <summary>Proved that infinitely many pairs of consecutive primes are at most 186 apart.. Autonomy A3, evidence V2, fidelity F2.</summary>
  </entry>
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