Problem detail · source-aware
VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
The kissing number in 19 dimensions is at least 11948, improving the Cohn-Li bound by 256, via a binary code of length 19 and minimum distance 5 fed through the Cohn-Li odd-sign construction.
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
"GPT-5.4 Pro was used in the discovery of the construction and in revising the exposition." The verifying computation is a finite check with public scripts and explicit coordinates for the 11948-point configuration.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
A finite certificate with public code and coordinates; no independent rerun published yet.
Correctness: unknown · statement fidelity: unaudited · peer review: none
A record lower bound; the kissing number in dimension 19 remains unknown.
Source-reported tools: construction.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.