  Nuclear magnetic resonance measurements of the magnetic susceptibility of
superfluid $^3$He imbibed in anisotropic aerogel reveal anomalous behavior at
low temperatures. Although the frequency shift clearly identifies a
low-temperature phase as the $B$ phase, the magnetic susceptibility does not
display the expected decrease associated with the formation of the
opposite-spin Cooper pairs. This susceptibility anomaly appears to be the
predicted high-field behavior corresponding to the Ising-like magnetic
character of surface Andreev bound states within the planar aerogel structures.
