Making Equation (2.2) of the OpenAI Erdős Result Executable
The article discusses the need for reproducibility in mathematical claims, particularly focusing on equation (2.2) from the OpenAI Erdős Result. It emphasizes that while a mathematical proof establishes a theorem, executable code can verify specific numerical claims. The author aims to reproduce the numerical value of equation (2.2) to demonstrate its computational validity.
- ▪OpenAI announced a counterexample to the Erdős planar unit-distance conjecture on May 20, 2026.
- ▪The article focuses on reproducing the numerical value of equation (2.2) from the remarks paper associated with the Erdős result.
- ▪Executable artifacts serve to verify numerical claims in mathematical papers without replacing the proof itself.
Opening excerpt (first ~120 words) tap to expand
try { if(localStorage) { let currentUser = localStorage.getItem('current_user'); if (currentUser) { currentUser = JSON.parse(currentUser); if (currentUser.id === 3508506) { document.getElementById('article-show-container').classList.add('current-user-is-article-author'); } } } } catch (e) { console.error(e); } Kwansub Yun Posted on May 26 • Originally published at flamehaven.space Making Equation (2.2) of the OpenAI Erdős Result Executable #mathematics #python #openscience #openai Why a proved theorem still needs reproducible claim custody On May 20, 2026, OpenAI announced that an internal reasoning model had produced a counterexample to the Erdős planar unit-distance conjecture.
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