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cyc6221 merged 3 commits into from
Oct 22, 2026
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Record the current #109 status on the openai/math card #39

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Record the current status of #109 on the openai/math card
cyc6221 Oct 22, 2026
3f4662e
Nest the #109 status list and link each PR to GitHub
cyc6221 Oct 22, 2026
2602853
Put the highest open claim on its own line in the status list
cyc6221 Oct 22, 2026
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9 changes: 8 additions & 1 deletion _includes/math/ai/OpenAIMath.html
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Expand Up @@ -27,7 +27,14 @@ <h4>#109</h4>

<ul class="now-list">
<li>CrocSwap/integer-mult-bounds <a class="gh-link" href="https://github.com/CrocSwap/integer-mult-bounds" target="_blank" rel="noopener noreferrer" aria-label="CrocSwap/integer-mult-bounds on GitHub"><svg viewBox="0 0 16 16" class="ico" aria-hidden="true"><path d="M8 0c4.42 0 8 3.58 8 8a8.013 8.013 0 0 1-5.45 7.59c-.4.08-.55-.17-.55-.38 0-.27.01-1.13.01-2.2 0-.75-.25-1.23-.54-1.48 1.78-.2 3.65-.88 3.65-3.95 0-.88-.31-1.59-.82-2.15.08-.2.36-1.02-.08-2.12 0 0-.67-.22-2.2.82-.64-.18-1.32-.27-2-.27-.68 0-1.36.09-2 .27-1.53-1.03-2.2-.82-2.2-.82-.44 1.1-.16 1.92-.08 2.12-.51.56-.82 1.28-.82 2.15 0 3.06 1.86 3.75 3.64 3.95-.23.2-.44.55-.51 1.07-.46.21-1.61.55-2.33-.66-.15-.24-.6-.83-1.23-.82-.67.01-.27.38.01.53.34.19.73.9.82 1.13.16.45.68 1.31 2.69.94 0 .67.01 1.3.01 1.49 0 .21-.15.45-.55.38A7.995 7.995 0 0 1 0 8c0-4.42 3.58-8 8-8Z"/></svg>GitHub</a>: a community effort to optimize the construction and push $\kappa$ higher. It is conditional on the #109 framework and is not an official OpenAI release.</li>
<li>Current reviewed result: $\kappa=0.0023$ (above $2^{-9}$), not a complete Lean multiplication theorem.</li>
<li>Status:
<ul>
<li>Previous selected: #1094 <a class="gh-link" href="https://github.com/CrocSwap/integer-mult-bounds/pull/1094" target="_blank" rel="noopener noreferrer" aria-label="PR #1094 on GitHub"><svg viewBox="0 0 16 16" class="ico" aria-hidden="true"><path d="M8 0c4.42 0 8 3.58 8 8a8.013 8.013 0 0 1-5.45 7.59c-.4.08-.55-.17-.55-.38 0-.27.01-1.13.01-2.2 0-.75-.25-1.23-.54-1.48 1.78-.2 3.65-.88 3.65-3.95 0-.88-.31-1.59-.82-2.15.08-.2.36-1.02-.08-2.12 0 0-.67-.22-2.2.82-.64-.18-1.32-.27-2-.27-.68 0-1.36.09-2 .27-1.53-1.03-2.2-.82-2.2-.82-.44 1.1-.16 1.92-.08 2.12-.51.56-.82 1.28-.82 2.15 0 3.06 1.86 3.75 3.64 3.95-.23.2-.44.55-.51 1.07-.46.21-1.61.55-2.33-.66-.15-.24-.6-.83-1.23-.82-.67.01-.27.38.01.53.34.19.73.9.82 1.13.16.45.68 1.31 2.69.94 0 .67.01 1.3.01 1.49 0 .21-.15.45-.55.38A7.995 7.995 0 0 1 0 8c0-4.42 3.58-8 8-8Z"/></svg>GitHub</a>, $\kappa\approx 0.00167$ (about $2^{-9.2}$).</li>
<li>Selected: #4359 <a class="gh-link" href="https://github.com/CrocSwap/integer-mult-bounds/pull/4359" target="_blank" rel="noopener noreferrer" aria-label="PR #4359 on GitHub"><svg viewBox="0 0 16 16" class="ico" aria-hidden="true"><path d="M8 0c4.42 0 8 3.58 8 8a8.013 8.013 0 0 1-5.45 7.59c-.4.08-.55-.17-.55-.38 0-.27.01-1.13.01-2.2 0-.75-.25-1.23-.54-1.48 1.78-.2 3.65-.88 3.65-3.95 0-.88-.31-1.59-.82-2.15.08-.2.36-1.02-.08-2.12 0 0-.67-.22-2.2.82-.64-.18-1.32-.27-2-.27-.68 0-1.36.09-2 .27-1.53-1.03-2.2-.82-2.2-.82-.44 1.1-.16 1.92-.08 2.12-.51.56-.82 1.28-.82 2.15 0 3.06 1.86 3.75 3.64 3.95-.23.2-.44.55-.51 1.07-.46.21-1.61.55-2.33-.66-.15-.24-.6-.83-1.23-.82-.67.01-.27.38.01.53.34.19.73.9.82 1.13.16.45.68 1.31 2.69.94 0 .67.01 1.3.01 1.49 0 .21-.15.45-.55.38A7.995 7.995 0 0 1 0 8c0-4.42 3.58-8 8-8Z"/></svg>GitHub</a>, $\kappa=0.0023$ (above $2^{-9}$), maintainer-reviewed but not a complete Lean multiplication theorem.</li>
<li>Merged but not selected: #4416 <a class="gh-link" href="https://github.com/CrocSwap/integer-mult-bounds/pull/4416" target="_blank" rel="noopener noreferrer" aria-label="PR #4416 on GitHub"><svg viewBox="0 0 16 16" class="ico" aria-hidden="true"><path d="M8 0c4.42 0 8 3.58 8 8a8.013 8.013 0 0 1-5.45 7.59c-.4.08-.55-.17-.55-.38 0-.27.01-1.13.01-2.2 0-.75-.25-1.23-.54-1.48 1.78-.2 3.65-.88 3.65-3.95 0-.88-.31-1.59-.82-2.15.08-.2.36-1.02-.08-2.12 0 0-.67-.22-2.2.82-.64-.18-1.32-.27-2-.27-.68 0-1.36.09-2 .27-1.53-1.03-2.2-.82-2.2-.82-.44 1.1-.16 1.92-.08 2.12-.51.56-.82 1.28-.82 2.15 0 3.06 1.86 3.75 3.64 3.95-.23.2-.44.55-.51 1.07-.46.21-1.61.55-2.33-.66-.15-.24-.6-.83-1.23-.82-.67.01-.27.38.01.53.34.19.73.9.82 1.13.16.45.68 1.31 2.69.94 0 .67.01 1.3.01 1.49 0 .21-.15.45-.55.38A7.995 7.995 0 0 1 0 8c0-4.42 3.58-8 8-8Z"/></svg>GitHub</a>, $\kappa=0.00268647$.</li>
<li>Highest open claim: #4470 <a class="gh-link" href="https://github.com/CrocSwap/integer-mult-bounds/pull/4470" target="_blank" rel="noopener noreferrer" aria-label="PR #4470 on GitHub"><svg viewBox="0 0 16 16" class="ico" aria-hidden="true"><path d="M8 0c4.42 0 8 3.58 8 8a8.013 8.013 0 0 1-5.45 7.59c-.4.08-.55-.17-.55-.38 0-.27.01-1.13.01-2.2 0-.75-.25-1.23-.54-1.48 1.78-.2 3.65-.88 3.65-3.95 0-.88-.31-1.59-.82-2.15.08-.2.36-1.02-.08-2.12 0 0-.67-.22-2.2.82-.64-.18-1.32-.27-2-.27-.68 0-1.36.09-2 .27-1.53-1.03-2.2-.82-2.2-.82-.44 1.1-.16 1.92-.08 2.12-.51.56-.82 1.28-.82 2.15 0 3.06 1.86 3.75 3.64 3.95-.23.2-.44.55-.51 1.07-.46.21-1.61.55-2.33-.66-.15-.24-.6-.83-1.23-.82-.67.01-.27.38.01.53.34.19.73.9.82 1.13.16.45.68 1.31 2.69.94 0 .67.01 1.3.01 1.49 0 .21-.15.45-.55.38A7.995 7.995 0 0 1 0 8c0-4.42 3.58-8 8-8Z"/></svg>GitHub</a>, $\kappa=0.00302015$ (author-checked).</li>
</ul>
</li>
<li>Notes: <a href="{{ '/articles/Math/ai/openai/integer-mult-bounds/' | relative_url }}">CrocSwap integer-mult-bounds</a></li>
</ul>
</div>
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