  We show that knowledge of the source-to-solution map for the fractional Dirac
operator acting over sections of a Hermitian vector bundle over a smooth closed
connencted Riemannian manifold of dimension $m\geq 2$ determines uniquely the
smooth structure, Riemannian metric, Hermitian bundle and connection, and its
Clifford modulo up to a isometry. We also mention several potential
applications in physics and other fields.
