  We argue that at zero temperature an isolated metal particle (or an AB ring)
with spin-orbit interaction and odd number of electrons will have a permanent
magnetic moment, even in zero magnetic field (flux). In a zero-field-cooled
state both the direction and the magnitude of the moment varies from particle
to particle and averages to zero. In a field-cooled state it averages to $\sim
\mu_{B}(k_{F}\ell) ^{1/2}$. We argue that the permanent moment is due to an
uncompensated electron in the last occupied (Fermi) level. We introduce an
effective single-electron Hamiltonian which accounts for spin-orbit coupling.
