  We conjecture a formula for the spectral form factor of a double-scaled
matrix integral in the limit of large time, large density of states, and fixed
temperature. The formula has a genus expansion with a nonzero radius of
convergence. To understand the origin of this series, we compare to the
semiclassical theory of "encounters" in periodic orbits. In Jackiw-Teitelboim
(JT) gravity, encounters correspond to portions of the moduli space integral
that mutually cancel (in the orientable case) but individually grow at low
energies. At genus one we show how the full moduli space integral resolves the
low energy region and gives a finite nonzero answer.
