# Ferromagnet asymptotic reference fitter

Family 271: Bloch's law, its lattice correction, and the spherical magnetization law. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Magnetic-model researchers can compare low-temperature magnetization simulations with the claimed exact leading coefficient and nearest-neighbor lattice correction.

## Applicability and commercial boundary

Thermodynamic limit, zero-field derivative and low-temperature limit occur in that order. The formal scope covers spontaneous magnetization, not the newer exact Bloch coefficients or lattice correction.

## Initial business decision

Conditional research. Buyer budget, commercial novelty and profitability are unvalidated.

## Next verification action

Extract the dispersion determinant and quantify a finite-size/temperature reference window before fitting material data.

## Evidence scope

The catalog statement was individually reviewed. Main-paper abstract passages and available family scope notes were also inspected; paper-level theorem and algorithm details still require deeper review. No independent Lean check was run. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).

## Main source

[Bloch's Law for Finite-Range Heisenberg Ferromagnets in Three Dimensions](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Blochs-Law-for-Finite-Range-Heisenberg-Ferromagnets-in-Three-Dimensions-October-5-2026/bloch-law-heisenberg.pdf).