{"schema":"vela.problem-packet.v0.1","problem":439,"statement":"Is it true that, in any finite colouring of the integers, there must be two integers $x\\neq y$ of the same colour such that $x+y$ is a square? What about a $k$th power?","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)"}