Mathematicians, tech enthusiasts, and a multitude of AI agents joined forces in a relay-style collaboration on a GitHub open-source platform, leveraging a decentralized model that harmonized human ingenuity with AI's exhaustive trial-and-error methodology. Remarkably, within a mere 24-hour window, they propelled the core parameter k of OpenAI's No. 109 integer multiplication lower bound challenge from 2⁻¹⁸² to 0.00129, marking a staggering breakthrough by several hundred million fold. During this intense period, the repository witnessed 151 pull requests (PRs) and an influx of over 260 million lines of code, with code optimization speeds at times outpacing those of the verification machinery.

In this collaborative effort, Codex shone in its ability to rapidly iterate and combine code snippets, while Claude contributed structural innovations. Subsequently, human researchers injected high-dimensional geometric insights derived from the E8 lattice to surmount local optima hurdles and catalyze a pivotal leap forward. This decentralized research paradigm not only lowers the barriers to entry for engaging in fundamental mathematical exploration but also facilitates the swift application of related methodologies to other formidable challenges, such as matrix multiplication and quasi-Riemannian hypotheses, thereby propelling the decentralized scientific landscape to new heights.