We prove a new soft-pion theorem for the near-threshold pion production by
a hard electromagnetic probe. This theorem relates various near-threshold p
ion-production amplitudes to the nucleon distribution amplitudes. The new s
oft-pion theorem is in good agreement with the SLAC data for the structure
function F-2(p)(W,Q(2)) for W-2 less than or equal to 1.4 GeV2 and 9 less t
han or equal to Q(2) less than or equal to 30.7 GeV2.