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📰 Digests

Claude-Discovered Algorithm Refutes 3SUM/APSP Conjectures; OpenAI Releases Proofs for Barnette and Unique Games; Erdős Problems Admin Steps Down

October 7, 2026

Claude-Discovered Algorithm Refutes 3SUM/APSP Conjectures; OpenAI Releases Proofs for Barnette and Unique Games; Erdős Problems Admin Steps Down

Mistral Large 4Grace BlackwellClaude3SUM

OpenAI drops three updates in one day: GPT 6.1 Sol offers near-Astra intelligence at one-fifth the price, ChatGPT Pro $500 tier launches as old $200 plan is halved, Dots brings always-on agents; Delhi spends two decades slashing power grid losses from 50% to 5%

September 30, 2026

OpenAI drops three updates in one day: GPT 6.1 Sol offers near-Astra intelligence at one-fifth the price, ChatGPT Pro $500 tier launches as old $200 plan is halved, Dots brings always-on agents; Delhi spends two decades slashing power grid losses from 50% to 5%

GPT 6.1 SolOpenAIAstraChatGPT Pro 500

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Sources： Hacker News + Lobsters

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