{"schema":"vela.problem-packet.v0.1","problem":109,"statement":"Any $A\\subseteq \\mathbb{N}$ of positive upper density contains a sumset $B+C$ where both $B$ and $C$ are infinite.","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)"}