What was already known
A distance set with full one-dimensional Hausdorff dimension need not have positive length. The conjectured target is positive Lebesgue measure at the strict half-dimension threshold.
What changed and why it matters
Attains the conjectured strict half-dimension threshold in every stated dimension.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
Compactness and the strict dimension inequality are retained. No endpoint statement at dimension d/2 is made. 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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