Count the Rings or Sear the Squid
Drop a handful of squid rings into a frying pan and you have already made a decision, whether or not you noticed making it. You can lay them out so…
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AI Just Claimed to Crack the Navier-Stokes Problem. It's Part of a Much Bigger Pattern
Meta description: OpenAI says an AI model found a singularity in the Navier-Stokes equations, one of math's Millennium Prize Problems. Here's what a…
Navier–Stokes Blows Up, and the Blow-up Is a Vortex You Can Picture
On 8 September OpenAI published a proof that the three-dimensional incompressible Navier–Stokes equations can develop a singularity in finite time:…
AdvancedMathBench: A New Benchmark for LLM Advanced Mathematical Reasoning
What Changed Large language models (LLMs) have demonstrated proficiency in high-school and olympiad-style mathematics. However, their performance in…
Making Equation (2.2) of the OpenAI Erdős Result Executable
Why a proved theorem still needs reproducible claim custody On May 20, 2026, OpenAI announced that an internal reasoning model had produced a counte…
The Merging Was Always the Point
Yesterday, an internal model at OpenAI disproved the Erdős unit-distance conjecture. The conjecture is from 1946. It is, depending on which discrete…
How I Built a Vedic Panchang Engine in TypeScript — Swiss Ephemeris, Meeus Fallback, Zero External APIs
Sub-arcsecond planetary positions, sunrise for any location on Earth, and an entire astronomical calendar — all computed server-side in a Next.js ap…