OpenCommons: A Distributed, Meaning-Indexed Concept Commons for Accelerating Scientific and Algorithmic Discovery in AI Agents

When swarms of autonomous AI agents solve complex coding and scientific discovery tasks, they reset their memory between sessions. As a result, agents waste compute repeatedly re-deriving the same mathematical algorithms from scratch while copying subtle numerical errors. Existing skill libraries either store unverified code that spreads bugs across the swarm, or rely on formal verification systems that attempt to translate ordinary Python code into pure mathematical equations—a process that succeeds on only 12.5% of imperative scientific programs. We present OpenCommons, a decentralized concept commons that catalogs algorithms by what they actually compute rather than their surface syntax. By executing functions against a small suite of boundary test inputs, OpenCommons identifies equivalent implementations in less than a millisecond, achieving 100% coverage of native scientific code. An asynchronous peer-review engine stress-tests contributed code in the background, quarantining all defective submissions across six adversarial defect classes with zero false alarms. When evaluated on live language models solving scientific discovery tasks, retrieving verified concept cards increases first-attempt success from 33.3% to 83.3% while preventing the propagation of subtle bugs. Across multi-wave research horizons, this verified shared library reduces cumulative discovery cost by 12.67x, providing a dependable foundation for collective machine intelligence.