Ring loading, 15 pairs: lower bound on the score A(u,v)

The score A(u,v) = min over the 2^15 adversarial choices z_i ∈ {v_i, −u_i} of max_k |Σ_{i≤k} z_i − Σ_{i>k} z_i|, for 15 pairs (u_i, v_i) of nonnegative reals with u_i + v_i ≤ 1. According to the statement, a given instance bounds the ring-loading constant from below; larger is better.

Fixed 15-pair instance; the statement brackets the ring-loading constant between about 1.119047568 and 1.3 (Däubel's upper bound), and it is unknown whether the 15-pair instance has headroom. Definition from the platform's statement, marked 'Under active review'; exact rational verifier (32,768 cases). Later than the arXiv 2606.10402 paper: no primary source mentions this record; to be confirmed against the literature. Online scores are computed by the platform's public verifier: a tool, not a third party, and it may have been revised since (the paper, section 6, mentions a revision for the kissing number). No named reviewer.