
OpenAI announces its "next major model" Astra by dropping ten previously unsolved math solutions
Quick Answer
OpenAI's new model Astra has solved ten long-standing math problems, marking a significant advancement in AI-assisted research.
Quick Take
The model, which costs about $2,000 for generating solutions, formalized proofs in Lean and is expected to enhance long-term problem-solving capabilities in AI. Astra's development aligns with OpenAI's goal of creating autonomous AI researchers by 2028.
Key Points
- Astra solved ten previously unsolved math problems across various fields.
- The model's solutions cost approximately $2,000 at API rates.
- Astra formalized proofs in Lean, creating machine-checkable certificates.
- OpenAI aims for Astra to contribute to autonomous AI research by 2028.
- The model is currently undergoing testing under new US regulatory frameworks.
DeepSignal Analysis
What happened
OpenAI's Astra model has reportedly solved ten previously unsolved math problems, a significant achievement in AI-assisted research. These problems span various fields, including group theory and quantum complexity. The model's solutions were formalized in Lean, and the company claims responsibility for their accuracy.
Key evidence
- OpenAI's Astra model solved ten long-standing math problems, which had seen no progress for at least a decade.
- The solutions cover diverse areas such as high-dimensional geometry, coding theory, and group theory, with one proof resolving a major question in group theory.
- The cost to generate all ten solutions using Astra is approximately $2,000 at API rates.
Why it matters
The development of Astra aligns with OpenAI's long-term goal of creating autonomous AI researchers by 2028. This model's ability to tackle complex problems over extended periods could significantly enhance the efficiency of mathematical research. However, the implications of AI's role in research and the potential for replacing human mathematicians remain contentious topics.
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~4 min readUpdate:
OpenAI has released its math report, officially confirming the Astra name for the first time. The company says an internal version of Astra, its "next major model family," solved ten open problems in math and theoretical computer science. Mathematicians had made no progress on any of them for at least a decade, and much longer in most cases.
The results cover fields ranging from high-dimensional geometry and coding theory to group theory, quantum complexity, lattice cryptography, and extremal combinatorics. One proof establishes the existence of non-sofic groups, resolving a major open question in group theory.
Thomas Bloom, a University of Manchester mathematician who runs erdosproblems.com, called the results "big news" on X. He considers them more significant than the counterexample to the unit distance conjecture published in May. "Maybe not bigger than a proof of unit distance would have been, but in terms of constructions, this is big," Bloom wrote.
Bloom also rejected the idea that AI is replacing mathematicians, arguing that the claim makes little sense when the AI draws on more than a century of mathematical theory, was built by mathematicians, and was trained on everything mathematicians have ever written.
Noam Brown, one of the researchers behind the test-time reasoning technology used by Astra, said on X that OpenAI had also tried and failed to crack other major problems. "Sadly, no Millennium Prize Problems (yet)," he wrote. The Clay Mathematics Institute offers $1 million for solving each of the seven Millennium Prize Problems, but only one has been solved since the prizes were announced in 2000. Brown added, "But also, we didn't spend a lot on each problem. It's possible to push test-time compute much further." He called Astra a "major step for scientific reasoning."
Astra's solutions would cost about $2,000 at API rates
OpenAI says the tokens used to generate all ten solutions would have cost about $2,000 at Sol's API rates. After the model produced its arguments, humans worked with the same model to turn them into research papers. The model also formalized each proof in Lean, creating machine-checkable certificates of mathematical correctness, and OpenAI published a walkthrough of the model's reasoning process for each solution.
OpenAI said its researchers helped prepare the papers and formalize the proofs, and that the company takes responsibility for their accuracy. The mathematical arguments themselves, however, came from Astra.
The company argued that claiming human authorship for a proof generated entirely by AI would misrepresent both the system's contribution and the nature of genuine human intellectual work, pointing to the Leiden Declaration on AI and Mathematics as a reference for how credit should be assigned in AI-assisted research.
Original article:
OpenAI is reportedly building Astra, a model family designed to work on problems for hours or days
OpenAI is working on a new model family tentatively called "Astra" that's meant to be far more capable at long-running tasks than anything the company has shipped so far.
CEO Sam Altman demoed Astra to politicians and regulators in Washington, D.C., this week. OpenAI stressed the system's ability to coordinate multiple agents over extended periods to tackle especially hard problems. The company pointed to complex projects and advanced math as potential use cases. The Information reported the details, citing three people familiar with the plans.
According to the report, Astra would form a new model class alongside OpenAI's existing Sol, Terra, and Luna families. Whether it ships as GPT-6 or as a variant within the GPT-5 line, something like GPT 5.7, hasn't been decided yet. There's no release date either.
OpenAI also plans to publish a report soon showing how the company used its most advanced AI to solve ten previously unsolved math problems. The goal is to show what its current models can already do.
Astra would be the first model tested under a new US regulatory framework
The models are already in testing, according to The Information. They're expected to be the first to go through the Trump administration's planned new AI framework, which would require AI models to be submitted to the federal government before public release. The administration aims to finalize the framework by the end of this week.
One key question is whether the models can avoid compounding errors during long-running workflows and correct themselves when a process drifts off course as the context keeps growing. That remains a major weakness in today's agentic systems. Multi-agent setups like Astra can also perform worse on tightly linked tasks such as planning because coordination overhead and compounding errors can wipe out any gains.
The long-term goal is autonomous AI research
The Astra rumors line up with earlier statements from the company. Chief Scientist Jakub Pachocki said on OpenAI's official podcast last summer that the company wants to build AI systems that can work on a problem for hours or days. Current systems are often limited to short tasks, but OpenAI wants models that can plan, reason, and experiment over longer time horizons. Late last year, the company even raised the question of how to think about systems that could solve tasks a human would need centuries to complete.
By March 2028, OpenAI wants to have a fully autonomous AI researcher that can run research projects on its own, and that system would also depend on long-running AI processes. As early as this September, the company plans to have an AI system with research-intern-level skills that would significantly speed up human scientists. Astra could end up being that system.
Pachocki also said these systems will need far more compute. OpenAI's long-term infrastructure plans reflect that ambition. Whether the startup's revenue grows fast enough to fund that massive buildout remains an open question.
— Originally published at the-decoder.com
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