{"schema":"vela.problem-packet.v0.1","problem":1206,"statement":"Does $\\{1,2^3,\\ldots,N^3\\}$ contain a Sidon set of size $\\gg N$?Is there an infinite set $A\\subset \\mathbb{N}$ of positive density such that $\\{a^3 : a\\in A\\}$ is a Sidon set?","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)"}