  Dynamics of an electron beam head-on colliding with an ultraintense focused
ultrashort circularly-polarized laser pulse are investigated in the quantum
radiation-dominated regime. Generally, the ponderomotive force of the laser
fields may deflect the electrons transversely, to form a ring structure on the
cross-section of the electron beam. However, we find that when the Lorentz
factor of the electron $\gamma$ is approximately one order of magnitude larger
than the invariant laser field parameter $\xi$, the stochastic nature of the
photon emission leads to electron aggregation abnormally inwards to the
propagation axis of the laser pulse. Consequently, the electron angular
distribution after the interaction exhibits a peak structure in the beam
propagation direction, which is apparently distinguished from the
"ring"-structure of the distribution in the classical regime, and therefore,
can be recognized as a proof of the fundamental quantum stochastic nature of
radiation. The stochasticity signature is robust with respect to the laser and
electron parameters and observable with current experimental techniques.
