An internal version of Astra, @OpenAI’s next major model family, solved 10 major open problems in mathematics, quantum complexity, and theoretical computer science.
We believe it will be a major step for scientific reasoning. https://t.co/iP6cyheZ7i
yes, nonsofic groups exist: this statement is one of many new beautiful results proved by Astra, our next major model.
We're releasing 10 such Astra proofs, complete with lean certificates and CoT walkthroughs for each of them. The results are wide-ranging, from von Neumann algebras (disproof of Connes' Rigidity Conjecture) to better bounds for high dimensional sphere packing, for circuit complexity, for monochromatic triangles in multicolored graphs, and more.
More thoughts here: https://t.co/8SjXONeh38
For my first post, I’m sharing a letter @NVIDIA signed on why open models matter.
AI will transform every industry, power every company, and be built by every country.
Open models strengthen safety and cybersecurity, accelerate innovation and diffusion, and enable sovereignty.
The world needs both frontier closed models and frontier open models.
https://t.co/AUKzoQ5Ikb
WOWII Conjecture 91 is false. This graph theory problem was open for ~22 years.
I cracked it by asking ChatGPT 5.6 Pro to find a counterexample to an open conjecture of its choosing and then I went to have a nap.
I do NOT care for graph theory nor had I heard of this NERD conjecture until ChatGPT told me it found a solution.
ChatGPT conversation where this was found:
https://t.co/4AnMhde026
I solved 6 open Erdős problems in 5 days, using @OpenAI GPT-5.6 Sol.
I have a math background, but the Codex workflow I used does not require deep mathematical knowledge.
Here’s exactly how I approached it, including my prompts 🧵
پل فرو ریخته و کودکی که هنوز خیال میکند دنیا جای بازی است.
پل گریوه یکی از پلهای مهم محور بندرعباس–بندر خمیر–لار است. که حملات اخیر آمریکا بمباران شده است.
@MHDR_1 وقتی در فاکسنیوز، افزایش تستوسترون را با تهدید زنان آسیایی پیوند میزنند، دیگر با “شوخی” طرف نیستیم؛ با عادیسازی خشونت جنسی و نژادپرستی مواجهیم. اگر همین جمله درباره زنان غربی گفته میشد، طوفان رسانهای به پا میشد. ظاهراً کرامت انسان هم در این رسانهها تابع جغرافیاست.
JD Vance on Iran:
How is it in the United States's interest to have 94 million desperate people flooding into Europe, flooding into the United States, to have, you know, sort of the terrorist infrastructure that can get established when you fan terrorists all over the world?
We've run this experiment before.
Source: Joe Rogan Experience