  We give a rigorous proof of the contour integral formulas of the moments of
the stochastic heat equation (SHE) started from the delta initial measure at
the origin. These formulas were conjectured in [BC14] (see also [CDR10,
Dot10]). Our proof is based on a correspondence between the SHE and the Airy
point process which was proved in [BG16, Theorem 1] using the formula of
[ACQ11, Theorem 1.1].
