The mathematical community is a collective intelligence that surpasses any individual mathematician, as seen in collaborative platforms like MathOverflow, where diverse expertise contributes to solving complex problems.

We encourage contributions to Fermat's Library by inviting users to annotate papers, spread the word, and create lists of papers for their research groups.

We are considering issuing a token to contributors who have created value in our projects, which could change how we reward contributions in the future.

A vibrant open-source project is indicated by having multiple contributors and activity, which signals health and engagement.

The beauty of lean projects is that they automatically generate data, allowing us to track contributions and assess performance without relying solely on traditional metrics.

The Vzero community has already made over 20,000 submissions, showcasing the collaborative spirit of open source.

The project required scaling up efforts, as no single person could verify 22 million proofs. It became feasible with the use of lean programming and AI assistance, and we are close to completing the project, having settled all but two problems.

Clio's detailed documentation allows other organizations to replicate our methods and contribute to a broader understanding of AI technologies.

Lean programming enables collaboration on proofs at an atomic level, allowing mathematicians to work together more effectively than with traditional pen and paper methods.