  Reproducible, sample-specific magnetoresistance fluctuations (magnetic
fingerprints) were observed in the low-temperature part of the superconducting
transition regime of hollow Au$_{0.7}$In$_{0.3}$ cylinders of submicron
diameter. The amplitude of the fluctuations was found to exceed that of the
universal conductance fluctuation in normal metals by several orders of
magnitude. The physical origin of these observations is related to mesoscopic
fluctuations of the superconducting order parameter.
