  Tensor networks, $T\bar{T}$, and broader notions of a holographic principle
all motivate the idea that some notion of gravitational holography should
persist in the presence of a radial cutoff. But in the absence of
time-reflection symmetry, the areas of Hubeny-Rangamani-Takayanagi surfaces
anchored to the radial cutoff generally violate strong subadditivity, even when
the associated boundary regions are spacelike separated as defined by both bulk
and boundary notions of causality. We thus propose an alternate definition of
cutoff-holographic entropy using a restricted maximin prescription anchored to
a codimension 2 cutoff surface. For bulk solutions that respect the null energy
condition, we show that the resulting areas satisfy SSA, entanglement wedge
nesting, and monogamy of mutual information in parallel with cutoff free
results in AdS. These results hold even when the cutoff surface fails to be
convex.
