AIProofWatch
← Archive

OpenAI reports: The BSD formula under low Selmer corank

OpenAI reports the complete Birch–Swinnerton-Dyer leading-term formula for elliptic curves over the rationals whose full q-power Selmer group has corank zero or one at some prime q, including all local prime factors.

Sources for this record

What was already known

Equality of analytic and algebraic ranks and finiteness of the Tate–Shafarevich group do not determine the exact leading coefficient. The targeted advance is the remaining integral formula in the low-corank case.

What changed and why it matters

Establishes the integral leading-term formula for the full stated low-corank class, a broad arithmetic advance.

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 full Selmer-corank hypothesis is essential. The claim does not settle BSD for every elliptic curve or every rank; its comparison uses separate arithmetic inputs. 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

2026-10-11 · publication

Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.

Read this published revision