The invention relates generally to a method and arrangement for real-time betting with an off-line terminal, and especially to the technological field of keeping reliable time in the off-line terminal when handling, within a communications system comprising a distributed domain and a central domain, electronic records that contain predictions of the outcome of a certain incident. Within the distributed domain a multitude of electronic records that contain predictions of the outcome of the incident are generated and furnished with a cryptographically protected proof of a certain moment of the distributed domain's local time associated with the generation of the electronic record.