{"schema":"vela.problem-packet.v0.1","problem":908,"statement":"Let $f:\\mathbb{R}\\to \\mathbb{R}$ be such that $f(x+h)-f(x)$ is measurable for every $h>0$. Is it true that\\[f=g+h+r\\]where $g$ is continuous, $h$ is additive (so $h(x+y)=h(x)+h(y)$), and $r(x+h)-r(x)=0$ for every $h$ and almost all (depending on $h$) $x$?","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)"}