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How to trace a theorem's dependencies before reading its proof with Papergraph MCP

See direct and recursive dependencies, shared prerequisites, and unknowns for one chosen result.

  • Research
  • Intermediate
  • 30 minutes
  • From the README
  • Any agent

Who it is forA researcher preparing to read or teach a specific theorem who wants to know what they need to understand first.

The problemProofs cite earlier lemmas and outside results, and tracing those references by hand is slow and error-prone.

The outcomeA compact dependency reading for the chosen result showing direct and recursive dependencies, shared prerequisites, cycles, and unknowns, with full evidence still available.

What you need first

  • uv installed (see the uv getting-started guide linked in the README)
  • An arXiv ID, a local LaTeX project with its main .tex file, or a born-digital PDF of a math paper
  • A workspace database location outside the repository

Steps

  1. Open the Paper Map for the paper and choose a result ID from the main-result candidates.
  2. Run uvx --from papergraph-mcp==1.2.3 papergraph-mcp get-dependency-reading WORKSPACE PAPER_ID --target-result-id RESULT_ID --detail compact.
  3. Check the listed unknowns and cycles, and open the source slices for any dependency you plan to rely on.
  4. Record your open questions and checkpoints in the workspace before moving to the next result.

Prompt for your agent

Using the papergraph-mcp repo, run get-dependency-reading on the paper <paper id> in workspace <workspace> for result <result id>. Report the direct dependencies, shared prerequisites, and unknowns. Verify that every listed dependency links to a source slice and that unknowns are not presented as established.

Caveat. Empty dependencies do not prove a result is independent, and PaperGraph does not infer hidden prerequisites.

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