What was already known
An infinite-volume local limit was known, but the predicted compact finite-volume continuum-tree limit for q>4 remained open.
AI involvement
OpenAI credits an internal model with this manuscript and proof artifact. No human-origin central proof step is identified.
The OpenAI release credits an internal model with producing this family; specific independence from human mathematical direction is not documented.
- Supporting source (github.com) — Result 211 and separate companion claims
Importance
Establishes the predicted finite-map tree limit in the q>4 regime, if the formalized model matches the intended maps.
Limitations
The result concerns finite q>4 maps after forgetting the root and FK decoration. It does not cover q≤4 or diffusion limits. No named human explanation of the convergence argument was found.
Technical verification
The Lean scope note specifies the q>4 finite-map law, scaling, normalized degree measure, GHP topology and all-size convergence. The OAI proof file contains the main theorem for that statement. This is source-reported machine verification, not a local rebuild; it does not certify other q-ranges or diffusion claims.
Formal checking
The source reports a Lean proof of the finite q>4 GHP limit.
- Checker
- OpenAI Lean formalization
- Scope
- Brownian CRT GHP distributional limit of critical finite FK maps for each fixed q>4
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
The released record does not document a named person explaining the central convergence argument. Few is the evidence default.
Correction and publication history
The finite q>4 map limit addresses a distinct geometric prediction.
Read this published revision