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We relate one-loop scattering amplitudes of massless open- and closed-stringstates at the level of their low-energy expansion. The modular graph functionsresulting from integration over closed-string punctures are observed to followfrom symmetrized open-string integrals through a tentative generalization ofthe single-valued projection known from genus zero.

From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop