  We model a black hole spacetime as a causal set and count, with a certain
definition, the number of causal links crossing the horizon in proximity to a
spacelike or null hypersurface $\Sigma$. We find that this number is
proportional to the horizon's area on $\Sigma $, thus supporting the
interpretation of the links as the ``horizon atoms'' that account for its
entropy. The cases studied include not only equilibrium black holes but ones
far from equilibrium.
