  We present high-accuracy quasi-stationary (QS) simulations of the contact
process in quenched networks, built using the configuration model with both
structural and natural cutoffs. The critical behavior is analyzed in the
framework of the anomalous finite size scaling which was recently shown to hold
for the contact process on annealed networks. It turns out that the quenched
topology does not qualitatively change the critical behavior, leading only (as
expected) to a shift of the transition point. The anomalous finite size scaling
holds with exactly the same exponents of the annealed case, so that we can
conclude that heterogeneous mean-field theory works for the contact process on
quenched networks, at odds with previous claims. Interestingly, topological
correlations induced by the presence of the natural cutoff do not alter the
picture.
