  We show that the bulk region reconstructable from a given boundary subregion
--- which we term the reconstruction wedge --- can be much smaller than the
entanglement wedge even when backreaction is small. We find arbitrarily large
separations between the reconstruction and entanglement wedges in near-vacuum
states for regions close to an entanglement phase transition, and for more
general regions in states with large energy (but very low energy density). Our
examples also illustrate situations for which the quantum extremal surface is
macroscopically different from the Ryu-Takayanagi surface.
