Ghirlanda–Guerra extremes conjecture for stochastically stable ROSts

Let the Ghirlanda–Guerra identities be imposed on the laws of random overlap structures, and consider the convex set of laws of stochastically stable ROSts. Ghirlanda–Guerra extremes conjecture. The laws of the ROSts satisfying the Ghirlanda–Guerra identities correspond to the extreme points of this convex set. This conjecture compares the Ghirlanda–Guerra identities with stochastic stability; the source gives no resolution.