# Stability-condition research adapter

Family 055: Gepner symmetry and large-volume stability on threefolds. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Organize the claimed Gepner stability condition on the quintic and exact large-volume central charges on Calabi–Yau threefolds.

## Applicability and commercial boundary

Derived-category existence and phase statements do not imply an efficient optimizer or a numerical stability certificate.

## 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

Extract finite computable charge examples and the exact category assumptions.

## 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 Gepner stability condition on every smooth quintic threefold](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-Gepner-stability-condition-on-every-smooth-quintic-threefold-September-24-2026/paper.pdf).