  We construct a representation for the first AdS curvature correction to the
Virasoro-Shapiro amplitude, as an integral over the Riemann sphere. The
integrand is that of the Virasoro-Shapiro amplitude in flat space, with the
extra insertion of a linear combination of single-valued multiple
polylogarithms of weight three. The integral representation implies an elegant,
manifestly single-valued representation for the Wilson coefficients of the low
energy expansion.
