  A complete analysis is given of the implications of the empirical indications
for a positive strangeness magnetic moment $\mu_s$ of the proton on the
possible configurations of the $uuds\bar s$ component of the proton. A positive
value for $\mu_s$ is obtained in the $s\bar s$ configuration where the $uuds$
subsystem is in an orbitally excited state with $[4]_{[FS]}[22]_F[22]_S$
flavor-spin symmetry, which is likely to have the lowest energy. The
configurations in which the $\bar s$ is orbitally excited, which include the
conventional $K^+\Lambda^0$ configuration, with exception of that in which the
$uuds$ component has spin 2, yield negative values for $\mu_s$. The hidden
strangeness analogues of recently proposed quark cluster models for the
$\theta^+$ pentaquark give differing signs for $\mu_s$.
