OpenAI’s Astra generates machine‑checkable proofs for ten decades‑old math problems, showing how verified AI can cut ...

OpenAI's unreleased Astra model has produced what its October 2025 announcement only pretended to: genuine solutions to ten long-standing open problems in mathematics and theoretical computer science, ...

TL;DROpenAI says its unreleased Astra model solved ten open maths problems, shipping Lean proofs on GitHub for roughly $2,000 in compute OpenAI says an internal version of its next major model, called ...

Hybrid hash function post-quantum cryptography research: a new paper on IACR ePrint formalizes a construction whose collision ...

Historically, mathematical proofs have been written and evaluated by humans, but in principle they could be formalized and verified by a computer program, essentially eliminating doubts about ...

The blockbuster game Minecraft depicts a world created by cubes: everything is made of discrete building blocks. It may therefore seem particularly unsuitable for calculating pi (π), the mathematical ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

Time-domain simulation of woodwind instruments typically involves the development of separate discrete-time sub-models for the excitation mechanism and the resonator. These components have largely ...

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In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior ...