{"data":{"id":"2bec8caa-3708-43be-a626-bc99e0e66b26","title":"An OpenAI model has disproved a central conjecture in discrete geometry","summary":"An OpenAI language model has solved a famous 80-year-old math problem in discrete geometry (the study of geometric shapes made from separate points) by disproving a long-held belief about how many pairs of points can be exactly one unit apart. The AI found an infinite family of point arrangements that beat the previous best solution, and external mathematicians have verified the proof, marking the first time an AI has autonomously solved a prominent open problem central to a mathematical field.","solution":"N/A -- no mitigation discussed in source.","labels":["research"],"sourceUrl":"https://openai.com/index/model-disproves-discrete-geometry-conjecture","publishedAt":"2026-05-20T00:00:00.000Z","cveId":null,"cweIds":null,"cvssScore":null,"cvssSeverity":null,"severity":"info","attackType":[],"issueType":"research","affectedPackages":null,"affectedVendors":["OpenAI"],"affectedVendorsRaw":["OpenAI"],"classifierModel":"claude-haiku-4-5-20251001","classifierPromptVersion":"v3","cvssVector":null,"attackVector":null,"attackComplexity":null,"privilegesRequired":null,"userInteraction":null,"exploitMaturity":null,"epssScore":null,"patchAvailable":null,"disclosureDate":"2026-05-20T00:00:00.000Z","capecIds":null,"crossRefCount":0,"attackSophistication":"advanced","impactType":null,"aiComponentTargeted":"model","llmSpecific":false,"classifierConfidence":0.85,"researchCategory":"blog","atlasIds":null}}