{"schema":"vela.problem-packet.v0.1","problem":154,"statement":"Let $A\\subset \\{1,\\ldots,N\\}$ be a Sidon set with $\\lvert A\\rvert\\sim N^{1/2}$. Must $A+A$ be well-distributed over all small moduli? In particular, must about half the elements of $A+A$ be even and half odd?","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)"}