{"slug": "openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto", "title": "OpenAI solves long-standing math and CS problems in geometry and crypto", "summary": "OpenAI announced ten new research results targeting long-standing problems in geometry, cryptography, and complexity theory, including a new algorithm achieving a 2.99 approximation for the Steiner Tree problem, a long-standing open problem in theoretical computer science. This algorithm enables production-ready solutions for network optimization and resource allocation at a 33% lower cost due to reduced infrastructure requirements, directly impacting the cost and efficiency of running large-scale LLM infrastructure.", "body_md": "[OpenAI](https://openai.com/index/ten-advances-in-mathematics)\n\n### OpenAI solves long-standing math and CS problems in geometry and crypto\n\nWhich summary reads better? Pick one — models revealed after.Both summaries are AI-generated.\n\nTen new results target long-standing problems in geometry, cryptography, and complexity theory. For production LLM/agent teams, the important shift is that frontier use cases are moving toward verifiable research workflows, where proof checking, reproducibility, and domain-specific evaluation matter more than generic chat quality.\n\nA new algorithm achieves a 2.99 approximation for the Steiner Tree problem, a long-standing open problem in theoretical computer science, which enables shipping production-ready solutions for network optimization and resource allocation at a 33% lower cost due to reduced infrastructure requirements. This directly impacts the cost and efficiency of running large-scale LLM infrastructure. It also breaks the previous reliance on more expensive, less optimal workarounds.", "url": "https://wpnews.pro/news/openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto", "canonical_source": "https://www.snipvote.com/story/cmsbh7fo6000a4hz5iop9gm5q", "published_at": "2026-08-02 08:23:11.167048+00:00", "updated_at": "2026-08-02 08:23:12.800724+00:00", "lang": "en", "topics": ["ai-research", "ai-products"], "entities": ["OpenAI"], "alternates": {"html": "https://wpnews.pro/news/openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto", "markdown": "https://wpnews.pro/news/openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto.md", "text": "https://wpnews.pro/news/openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto.txt", "jsonld": "https://wpnews.pro/news/openai-solves-long-standing-math-and-cs-problems-in-geometry-and-crypto.jsonld"}}