  We discuss information loss from black hole physics in AdS$_3$, focusing on
two sharp signatures infecting CFT$_2$ correlators at large central charge $c$:
'forbidden singularities' arising from Euclidean-time periodicity due to the
effective Hawking temperature, and late-time exponential decay in the
Lorentzian region. We study an infinite class of examples where forbidden
singularities can be resolved by non-perturbative effects at finite $c$, and we
show that the resolution has certain universal features that also apply in the
general case. Analytically continuing to the Lorentzian regime, we find that
the non-perturbative effects that resolve forbidden singularities qualitatively
change the behavior of correlators at times $t \sim S_{BH}$, the black hole
entropy. This may resolve the exponential decay of correlators at late times in
black hole backgrounds. By Borel resumming the $1/c$ expansion of exact
examples, we explicitly identify 'information-restoring' effects from heavy
states that should correspond to classical solutions in AdS$_3$. Our results
suggest a line of inquiry towards a more precise formulation of the
gravitational path integral in AdS$_3$.
