  The Andreev spectrum of a quantum dot embedded in a hybrid
semiconductor-superconductor interferometer can be modulated by electrostatic
gating, magnetic flux through the interferometer, and Zeeman splitting from
in-plane magnetic field. We demonstrate parity transitions in the embedded
quantum dot system, and show that the Zeeman-driven transition is accompanied
by a 0-{\pi} transition in the superconducting phase across the dot. We further
demonstrate that flux through the interferometer modulates both dot parity and
0-{\pi} transitions.
