What was already known
Full dimension of Kakeya sets and the quantitative maximal-operator estimate are different assertions. The maximal estimate must control all permitted functions and tube placements.
What changed and why it matters
Resolves the quantitative three-dimensional maximal target rather than only a set-dimension statement.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
This entry concerns the three-dimensional maximal estimate. The family’s four-dimensional Hausdorff result is a separate statement, and no dimension-free maximal theorem is claimed. 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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