What was already known
Three-cell and three-dimensional cases were known. The targeted advance controls any finite number of cells in every dimension using unnormalized Gaussian first moments.
What changed and why it matters
Extends the sharp Gaussian partition bound beyond the previously covered low-dimensional cases.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
First moments are not divided by cell mass. Attainment by the three-sector example requires dimension at least two and at least three cells; no different normalization is asserted. 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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