What was already known
Selmer-rank distributions alone do not determine analytic-rank densities. The manuscript adds an unrestricted low-corank 2-converse to bridge those statements.
What changed and why it matters
Settles the stated analytic-rank density question for every rational elliptic curve.
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 density is for signed squarefree parameters in the specified ordering. It is not a claim that every twist has rank zero or one, or an exact classification of exceptional twists. 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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