{"schema":"vela.problem-packet.v0.1","problem":31,"statement":"Given any infinite set $A\\subset \\mathbb{N}$ there is a set $B$ of density $0$ such that $A+B$ contains all except finitely many integers.","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)"}