  We consider a modified setup for measuring the Aharonov-Casher phase which
consists of a Josephson vortex trapped in an annular topological
superconducting junction. The junction encloses both electric charge and
magnetic flux. We discover a deviation from the Aharonov-Casher prediction
whose origin we identify in an additive universal topological phase that
remarkably depends only on the parity of the number of vortices enclosed by the
junction. We show that this phase is $\pm 2\pi$ times the topological spin of
the Josephson vortex and is proportional to the Chern number. The presence of
this phase can be measured through its effect on the junction's voltage
characteristics, thus revealing the topological properties of the Josephson
vortex and the superconducting state.
