  It is believed that no information can be stored in Hawking radiation,
because correlations between quanta of different field modes vanish. However,
such correlations have been defined only with reference to a single moment of
time. In this article, we develop a method for the evaluation of {\em
multi-time} correlations. We find that these correlations are highly
non-trivial: for a scalar field in the Schwarzschild black hole, multi-time
correlations have an explicit dependence on angular variables and on the
scattering history of Hawking quanta. This result leads us to the conjecture
that some pre-collapse information can be stored in multi-time correlations
after backreaction effects have been incorporated in the physical description.
