# Chromatic tensor-ideal classification ledger

Family 311: The Hovey–Strickland and Chai conjectures. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Organize the claimed invariant-ideal consequences and finite chain of tensor ideals at a fixed chromatic height.

## Applicability and commercial boundary

Local dualizable-category hypotheses and height indexing matter; classification is not an efficient functor or invariant constructor.

## 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 low-height exact examples and dependencies.

## 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).

[Stabilizer orbits and thick tensor ideals of dualizable K(n)-local spectra](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Stabilizer-Orbits-and-Thick-Tensor-Ideals-of-Dualizable-Kn-Local-Spectra-September-24-2026/paper.pdf).