  Simulations are used to find the zero temperature jamming threshold,
$\phi_j$, for soft, bidisperse disks in the presence of small fixed particles,
or "pins", arranged in a lattice. The presence of pins leads, as one expects,
to a decrease in $\phi_j$. Structural properties of the system near the jamming
threshold are calculated as a function of the pin density. While the
correlation length exponent remains $\nu = 1/2$ at low pin densities, the
system is mechanically stable with more bonds, yet fewer contacts than the
Maxwell criterion implies in the absence of pins. In addition, as pin density
increases, novel bond orientational order and long-range spatial order appear,
which are correlated with the square symmetry of the pin lattice.
