What was already known
A limiting thermodynamic free-energy density does not describe sample-to-sample fluctuations of total free energy. The target supplies a variance scale and a normalized limiting law in the low-temperature regime.
What changed and why it matters
Establishes a scoped fluctuation scale and limiting-law result beyond the limiting mean free energy.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
Temperature is fixed below the transition, the field is zero, and disorder is Gaussian. This is total log-partition free energy, not the free-energy density or an assertion for every spin-glass model. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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