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
It has become imperative for AI labs to pair their massive frontier models with cheap, fast-inference variants. The ecosystem demands both extremes:
• DeepSeek: Pro & Flash
• Gemini: Pro & Flash
• OpenAI: Sol & Luna
🚀 DeepSeek-V4-Flash Official API is now LIVE in public beta!
🔷 We’ve massively upgraded its Agent capabilities—benchmark scores are now far surpassing the V4-Pro-Preview. Check out the massive performance leap below! 👇
🔷 The official V4-Flash now natively supports the Responses API format and is fully adapted for Codex!
Check out the configuration details in our official API docs: https://t.co/smCwQZMeiq
🚀 DeepSeek-V4-Flash Official API is now LIVE in public beta!
🔷 We’ve massively upgraded its Agent capabilities—benchmark scores are now far surpassing the V4-Pro-Preview. Check out the massive performance leap below! 👇
🔷 The official V4-Flash now natively supports the Responses API format and is fully adapted for Codex!
Check out the configuration details in our official API docs: https://t.co/smCwQZMeiq
In 1873 Maxwell wondered if the number of equilibria of the electric field generated by n point charges couldn't exceed (n-1)^2.
GPT SOL found a triangular bipyramid of 5 charges with 24 equilibria.
@gk_ruku there can be no vision with corruption.
japan, south korea, vietnam, hongkong, china, singapore, all those countries have one thing in common: CORRUPTION IS A CAPITAL CRIME.
tunanyonga all corrupt politicians
We are committed to pushing the model frontier across cost efficiency, capability, and speed.
Starting today, we are reducing prices for GPT-5.6 Luna by 80% and GPT-5.6 Terra by 20% , and offering a faster option for GPT-5.6 Sol in the API.
Luna and Terra’s lower prices are reflected in how usage is counted in Codex and ChatGPT Work, so your usage goes further.
@C_NyaKundiH He thinks if he repeats the lies long enough, they’ll magically become the truth, and we'll be foolish enough to believe them with him.
He’s trying to gaslight an entire nation, hoping his delulu will eventually become our reality.