[{"data":1,"prerenderedAt":4},["ShallowReactive",2],{"fUxOy9L2we":3},"# Clawristotle: Semi-Autonomous Mathematical Research\n\n\u003Cp align=\"center\">\n  \u003Cimg src=\"landau/artifacts/clawristotle.png\" alt=\"Clawristotle\" width=\"400\">\n\u003C/p>\n\n[![Landau CI](https://github.com/Vilin97/Clawristotle/actions/workflows/landau-ci.yml/badge.svg)](https://github.com/Vilin97/Clawristotle/actions/workflows/landau-ci.yml) [![Grothendieck Vanishing CI](https://github.com/Vilin97/Clawristotle/actions/workflows/grothendieck-vanishing-ci.yml/badge.svg)](https://github.com/Vilin97/Clawristotle/actions/workflows/grothendieck-vanishing-ci.yml) [![Website](https://img.shields.io/badge/docs-website-blue)](https://vilin97.github.io/Clawristotle/) [![Logs](https://img.shields.io/badge/HF-Agent_Logs-yellow)](https://huggingface.co/datasets/Vilin97/Clawristotle-Logs)\n\nFully verified formalizations of research-level mathematics in Lean 4, produced by centaur teams of AI agents and human mathematicians.\n\nThis repository hosts two completed formalization projects. Each is a self-contained Lean 4 / Mathlib package in its own directory, with its own toolchain, README, and technical report.\n\n| | [`landau/`](landau/) | [`grothendieck-vanishing/`](grothendieck-vanishing/) |\n|---|---|---|\n| **Theorem** | Positive smooth steady states of the Vlasov–Maxwell–Landau system on 𝕋³ are global Maxwellians (Guo–Strain, Theorem 42) | For a Noetherian topological space X of dimension n and any sheaf F of abelian groups, Hⁱ(X, F) = 0 for i > n (Hartshorne III, 2.7) |\n| **Status** | ✅ Fully verified, 0 `sorry`'s | ✅ Fully verified, 0 `sorry`'s, no extra axioms |\n| **Lean 4 code** | 10,445 lines | 5,061 lines (4,087 normalized) |\n| **Timeline** | 10 days (Mar 1–10, 2026) | 35 days (Mar 27 – May 1, 2026) |\n| **API cost** | ~$6,300 | ~$15,000 |\n| **Agents** | Claude Code · Gemini DeepThink · Aristotle | Claude Code · Codex CLI · Aristotle |\n| **Paper** | [arXiv:2603.15929](https://arxiv.org/abs/2603.15929) · [HF paper](https://huggingface.co/papers/2603.15929) | [Technical report](grothendieck-vanishing/TECHNICAL_REPORT_GV.md) |\n| **Read more** | [README](landau/README.md) · [Technical report](landau/TECHNICAL_REPORT.md) · [Blueprint](https://vilin97.github.io/Clawristotle/landau/blueprint/) | [README](grothendieck-vanishing/README.md) · [Brian's review](grothendieck-vanishing/review.md) · [Blueprint](https://vilin97.github.io/Clawristotle/grothendieck-vanishing/blueprint/) |\n\n## How it works\n\nThe human steers — choosing the theorem, fixing the definitions, auditing the final statement — while AI agents handle the implementation: writing the Lean code, searching for proofs, dispatching hard lemmas to the [Aristotle](https://aristotle.harmonic.fun/) cloud prover, and reviewing their own output in autonomous critique–plan–prove–simplify loops. Each project's README describes its agent stack and how the method evolved between the two projects.\n\n## Working in this repository\n\nEach project is an independent Lake package with its own `lean-toolchain` — build from inside its directory:\n\n```bash\ncd landau                  # or grothendieck-vanishing\nlake exe cache get         # fetch the Mathlib build cache\nlake build\n```\n\nThe Landau project was developed first, on this repository's `main` branch (March 2026); the Grothendieck vanishing project followed on the [`grothendieck-vanishing`](https://github.com/Vilin97/Clawristotle/tree/grothendieck-vanishing) branch (March–May 2026) and was merged into `main` with full history.\n\n## License\n\nReleased under the [Apache License 2.0](LICENSE).\n",1781295459970]