{"schema":"vela.problem-packet.v0.1","problem":707,"statement":"Let $A\\subset \\mathbb{N}$ be a finite Sidon set. Is there some set $B$ with $A\\subseteq B$ which is perfect difference set modulo $p^2+p+1$ for some prime $p$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}