Does an Edwards-type ensemble describe granular packings away from jamming?

The Edwards hypothesis assigns equal probability to all mechanically stable packings at fixed volume V, with entropy $S(V) = \ln \Omega(V)$ and compactivity $X = dV/dS$. Direct enumeration for frictionless soft disks found the flat measure holds only at the jamming density $\phi_J$. For frictional grains in steady states produced by tapping or cyclic shear, determine whether packing statistics depend only on intensive variables (compactivity, angoricity) and not on the protocol, and give the correct ensemble if the flat measure fails.

Experiments or simulations in which different protocols reach the same volume and stress, testing whether the distributions of local volumes and contact forces coincide, together with an ensemble that predicts them.