What was already known
Bloch’s T^{3/2} coefficient was predicted by spin-wave theory. Prior rigorous work established low-temperature order in some Heisenberg models but not the exact fixed-spin asymptotic for this finite-range class.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Rigorously identifies the leading low-temperature magnetization deficit, including spatially anisotropic couplings.
Limitations
The thermodynamic limit precedes the zero-field right derivative and low-temperature limit. The linked Lean note checks low-temperature spontaneous magnetization for nearest-neighbor models, not Bloch’s asymptotic coefficient.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision