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We use a microcanonical path integral closely related to that introduced byBrown and York in 1992 to add new entries to the AdS/CFT dictionary concerningthe interiors of small black holes. Stationary points of such path integralsare also stationary points of more standard canonical-type path integrals withfixed boundary metric, but the condition for dominance is now maximizingHubeny-Rangamani-Takayanagi entropy at fixed energy. As a result, such pathintegrals can bring to the fore saddles that fail to dominate in more familiarcontexts. We use this feature to argue that the standard Kruskal-like two-sidedextension of small AdS black holes with energy $E_0$ is dual to amicrocanonical version of the thermofield double state for AdS black holes thatmaximize the microcanonical bulk entropy at this energy. We also comment onentanglement in such states and on quantum effects that become large when theenergy-width of the microcanonical ensemble is sufficiently small.

Microcanonical Path Integrals and the Holography of small Black Hole Interiors