# Low-temperature SK fluctuation normalization benchmark

Family 217: The low-temperature Sherrington–Kirkpatrick fluctuation law. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Spin-glass researchers can compare partition-function samples with the n-to-one-sixth fluctuation scale at fixed beta greater than one.

## Applicability and commercial boundary

Exact centering and a characterized limiting law do not give a finite-n distribution or an efficient partition-function computation.

## Initial business decision

Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Inspect effective moments and centering cost before implementing calibration.

## Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[The low-temperature Sherrington–Kirkpatrick free-energy limiting law](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026/The-low-temperature-Sherrington-Kirkpatrick-free-energy-limiting-law-September-24-2026.pdf).