{"schema":"vela.problem-packet.v0.1","problem":1199,"statement":"Is it true that in any $2$-colouring of $\\mathbb{N}$ there exists an infinite set $A$ such that all elements of $A+A$ are the same colour?","status":"open","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)"}