{"schema":"vela.problem-packet.v0.1","problem":329,"statement":"Suppose $A\\subseteq \\mathbb{N}$ is a Sidon set. How large can\\[\\limsup_{N\\to \\infty}\\frac{\\lvert A\\cap \\{1,\\ldots,N\\}\\rvert}{N^{1/2}}\\]be?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[{"id":"att_2f55a9014834ce8f","kind":"dead_end","claim":"attempted via frontier 'sidon/B2' (transfer_strength=partial) -> no_progress","grade":"honest_null","gateStatus":"needs_verification","superseded":false}],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}