What was already known
Davie’s earlier lower bound was about 1.33807. A later independent paper obtained the stronger bound 1.4.
AI involvement
The authors credit the Odin Automatic AI Research Agent with the lower bound and proof. They wrote the exposition and released certificate code.
The authors explicitly credit Odin with the central result and proof; exact autonomy from human direction is undocumented.
Importance
Introduces a certified method that improved the lower bound when published.
Limitations
Interval arithmetic checks finite Gram, Schur and ratio inequalities; a completed check of the full analytic reduction is not documented. The later 1.4 result supersedes this numerical record without checking this proof.
Technical verification
The numerical certificate components have rigorous source-reported interval checks, but no explicit complete human or formal check of the analytic reduction is documented.
Independent checking
The numerical certificate components have rigorous source-reported interval checks, but no explicit complete human or formal check of the analytic reduction is documented.
- Checker
- Authors’ interval-arithmetic verifier
- Scope
- finite parameter positivity and ratio establishing the 1.35584631827168 lower bound conditional on the analytic criterion
- Basis
- Reported by the linked checker
Human understanding
The authors’ exposition explains the Hermite multiplier, shared radial weight, operator norm reduction and finite certificate.
Correction and publication history
Introduces a certified method that improved the lower bound when published.
Read this published revision