# Hyperbolic boundary recognition research contract

Family 246: Cannon's conjecture. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Track the claimed implication from a two-sphere boundary of a word-hyperbolic group to a cocompact hyperbolic-three-space action.

## Applicability and commercial boundary

Finite kernel and torsion-free distinctions matter; neither boundary recognition nor action construction is shown efficient.

## Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

## Next verification action

Read algorithmic effectiveness and an explicit group presentation.

## Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

[A Modulus Proof of Cannon’s Conjecture](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-Modulus-Proof-of-Cannons-Conjecture-September-23-2026/paper.pdf).