We present a contact-based model to study the spreading of epidemics by means of extending the dynamic message-passing approach to temporal networks. The shift in perspective from node- to edge-centric quantities enables accurate modeling of Markovian susceptible-infected-recovered outbreaks on time-varying trees. i. e. https://www.spidertattooz.com/Orly-Nail-Lacquer-Ethereal-Plane-2000025-p28581/