What was already known
Finiteness for each fixed vector field does not itself give a uniform degree-only bound over all coefficients.
What changed and why it matters
Advances the stated target relative to the recorded baseline.
The AI contribution
OpenAI attributes the manuscript to its internal model; individual human contributions remain unspecified.
Limitations
The reported bound is not effective and does not classify all arrangements of cycles. The family’s quintic Liénard formalization does not verify this general theorem. Preprint. AIProofWatch read the source statement and context; it has not refereed the proof, compiled a formal development, or established community acceptance.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The original source reports this scoped result; AIProofWatch reviewed its statement, not the full proof.
Accessible artifact / proof
A research manuscript or proof artifact is publicly accessible; availability is not independent checking.
Correction and publication history
Full source review, 11 October 2026. Historical addition; subscriber alerts disabled.
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