{"schema":"vela.problem-packet.v0.1","problem":965,"statement":"Is it true that, for any $2$-colouring of $\\mathbb{R}$, there is a set $A\\subseteq \\mathbb{R}$ of cardinality $\\aleph_1$ such that all sums $a+b$ with $a\\neq b$ and $a,b\\in A$ are the same colour?","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)"}