2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130857We give an elementary construction of a time-invertible Markov process which is discrete except at one instance. The process is one of the quadratic harnesses studied in our previous papers and can be regarded as a random joint of two independent Poisson processes.Probability60J25Classical bi-Poisson process: an invertible quadratic harnesstext