Researchers claim $400 multi-model agent run cracked 70-year-old Pierce–Birkhoff conjecture

burny_tech · x · 2026-10-04

Researcher junyur reports solving the 70-year-old Pierce–Birkhoff conjecture in real algebraic geometry with roughly $400 of tokens via a multi-agent system (details and verification still pending).

Key practical finding: models from different families (GPT and Claude) are strongly complementary even when assigned the same role independently — they bring different knowledge, habits, and strategies, catch each other's errors, and unblock stuck arguments.

On a tight token budget, one agent per model family often beat a larger swarm of a single model. A useful lesson for low-cost multi-model orchestration.

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