A measurement of parity-violating spin-dependent gamma p Compton scattering
will provide a theoretically clean determination of the parity-violating p
ion-nucleon coupling constant h(pi NN)((1)). We calculate the leading parit
y-violating amplitude arising from one-loop pion graphs in chiral perturbat
ion theory. An asymmetry of similar to 5 x 10(-8) is estimated for Compton
scattering of 100 MeV photons.