  The jamming transition of particles with finite-range interactions is
characterized by a variety of critical phenomena, including power law
distributions of marginal contacts. We numerically study a recently proposed
simple model of jamming, which is conjectured to lie in the same universality
class as the jamming of spheres in all dimensions. We extract numerical
estimates of the critical exponents, {\theta} = 0.451 $\pm$ 0.006 and {\gamma}
= 0.404 $\pm$ 0.004, that match the exponents observed in sphere packing
systems. We analyze finite-size scaling effects that manifest in a subcritical
cutoff regime and size-independent, but protocol-dependent scaling curves. Our
results supports the conjectured link with sphere jamming, provide more precise
measurements of the critical exponents than previously reported, and shed light
on the finite-size scaling behavior of continuous constraint satisfiability
transitions.
