# Stabilized trace-cone classification reference

Family 301: Trace cones and Razak–Jacelon stabilization. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Organize classification after Razak–Jacelon and compact-operator stabilization using extended trace cones.

## Applicability and commercial boundary

Separable nuclear hypotheses and ideal structure matter; abstract trace-cone isomorphism is not a finite database classifier.

## 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

Inspect effective invariants and an explicit restricted algebra.

## 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).

[The trace cone classifies Razak–Jacelon stabilizations](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026/The-trace-cone-classifies-Razak-Jacelon-stabilizations-September-25-2026.pdf).