What was already known
The strict version concerns every eigenfunction, rather than existence of one favorable eigenfunction or results confined to convex or symmetric domains.
What changed and why it matters
Establishes the stated strict all-eigenfunction hot-spots target without convexity or symmetry restrictions.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
The domain is smooth, bounded, and simply connected. No assertion for domains with holes or arbitrary boundary regularity is recorded. 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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