I will begin by reviewing the computation of the superstring n-point disk integrand using the pure spinor formalism. Then I will show how the solution to the integrand contains a hidden key to unlock the computation of the alpha'-expansion of its associated iterated integrals using Berends-Giele recursion, a technique used to calculate scattering amplitudes in field theory. This indicates that there is a field theory governing the alpha'-expansion of these integrals, recently dubbed Z-theory.