  If low energy supersymmetry is realized in nature, the apparent discovery of
a Higgs boson with mass around 125 GeV points to a supersymmetric mass spectrum
in the TeV or multi-TeV range. Multi-TeV scalar masses are a necessary
component of supersymmetric models with pure gravity mediation or in any model
with strong moduli stabilization. Here, we show that full scalar mass
universality remains viable as long as the ratio of Higgs vevs, tan beta is
relatively small (\lesssim 2.5). We discuss in detail the low energy
(observable) consequences of these models.
