Tensor networks, TT bar, 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. However, naive application of holographic entropy formulas away from the AdS boundary can generally violate quantum information inequalities like strong subadditivity. 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 strong subadditivity in parallel with cutoff free results in AdS.

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