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Jacobian

An executable mathematical vocabulary for agents: discover one typed operation, run it, and compose its result.

Jacobian is an MCP server that gives AI agents a searchable vocabulary of typed mathematical operations. math.find matches a mathematical need or inspects one exact contract, and math.run executes it and returns its typed result. The same mathematical library is also available through a CLI and native Python API.

Each operation establishes one stable, reusable mathematical postcondition rather than prescribing a workflow or proof strategy. Results are exact where claimed and make approximation, incompleteness, or uncertainty explicit.

Jacobian's hypothesis is that mathematical reasoning benefits from an executable vocabulary of semantically scoped, bounded operations. Rather than exposing large domain solvers or precomposed workflows, Jacobian exposes mathematical primitives that agents can search for and compose into solutions beyond what any individual operation was designed to solve. The library supplies trustworthy mathematical moves; the reasoning model decides which moves to make, how to combine their results, and when to stop. Keeping the operations semantically narrow and domain-owned preserves that search space instead of baking one proof strategy or workflow into the tools themselves.

See Executable mathematical vocabulary for what semantic atomicity means and how the operation vocabulary grows.

Quickstart

Set up Jacobian for your agents with a single command. The setup command requires Node.js 20.17+, 22.13+, or 23.5+ and uvx on your PATH.

npx jacobian@latest setup

Choose detected agents and review the changes before they are written. Setup does not install Node.js, Python, uv, or an agent. For automation, preview an explicit plan with npx jacobian@latest setup --codex --dry-run; use --yes only with explicit agent flags or --all.

To refresh an existing registration explicitly, run npx jacobian@latest upgrade and select the agents to update. The generated launcher pins the exact release resolved by npm.

Run the canonical Python MCP command without installing Jacobian globally:

uvx --python 3.12 --from jacobian jacobian-mcp

Where an MCP host requires an npm command, the npm package is a deterministic carrier for that same command:

npx jacobian mcp

For a persistent installation:

python -m pip install jacobian
jacobian-mcp