What was already known
Square values of the point count were covered by Nagata’s original cases. The unresolved target includes all point counts at least ten and unequal assigned multiplicities.
What changed and why it matters
Extends the square-root interpolation bound to all stated point counts and nonhomogeneous multiplicities.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
Very general points are required; arbitrary configurations are not covered. The strict inequality does not start at nine points and does not describe every special interpolation problem. 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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