  In the presence of strong disorder, the statistics of quasiparticle levels in
the core of a vortex in a two-dimensional p-wave superconductor belongs to the
universality class B corresponding to the ensemble of orthogonal matrices in
odd dimensions. This novel universality class appears as a consequence of the
O(2) spin symmetry of p-wave pairing. It is preserved in the presence of random
disorder, of electromagnetic vector potential, and of an admixture of the
pairing of opposite chirality in the vortex core, but may be destroyed by
spin-orbit coupling and by Zeeman splitting.
