Open, the site's label (page last edited 2 April 2026). The value asked for, the supremum $B$, is known to lie in an interval whose ends are recorded below. One accepted partial claim, Clunie and Hayman 1964, proves $4/7<B\le2/\pi-c$ on its refereed publication; three pending partial claims certify larger lower bounds by interval arithmetic: He and Tang's certified lower bound, an arXiv paper of 12 February 2026 announced in the site's discussion thread and credited by the site's commentary, which raised the bound from $4/7$ to $0.58507$; Sothanaphan's certified parameter improvement, a note of 27 February 2026 produced with GPT-5.2 Thinking, announced in the discussion thread and credited by the commentary, which holds the best lower bound; and Lystad's certified lower bound, filed on the site's proof-claims tab on 2 August 2026 with declared AI assistance, which certifies a bound slightly below it and re-verifies it. The site has adopted none as a solution, and the derived standing is open.