OpenAI's latest specialized reasoning architecture, internally referred to as "Astra," has successfully solved and formally verified proofs for ten long-standing, open mathematical problems in computer science and theoretical math. The system generated full, machine-checked logical proofs on GitHub using roughly $2,000 worth of compute per solution. This marks a major shift in artificial intelligence from purely processing human language to executing high-level autonomous scientific reasoning, proving that frontier models can actively expand human scientific knowledge rather than just summarizing existing data. In an unprecedented milestone for automated reasoning, an unreleased advanced artificial intelligence system codenamed "Astra" has successfully resolved ten long-standing open problems in theoretical mathematics and computer science. Rather than relying on simple pattern recognition or brute-force numerical compute, the model demonstrated deep abstract reasoning by constructing original mathematical proofs and finding counterexamples across diverse domains. Among its notable achievements, Astra proved the existence of a non-sofic group—settling a decades-old foundational question in group theory regarding infinite mathematical structures. Additionally, the system established an improved bound for high-dimensional sphere packing, breaking a theoretical ceiling that had remained static since 1978. To ensure absolute logical rigor, all generated proofs were formally verified using the Lean 4 interactive proof assistant, leaving no room for algorithmic hallucination or logical gaps.