  We explicitly construct a universal A-infinity deformation of
Batalin-Vilkovisky algebras, with all coefficients expressed as rational sums
of multiple zeta values. If the Batalin-Vilkovisky algebra that we start with
is cyclic, then so is the A-infinity deformation. Moreover, the adjoint action
of the odd Poisson bracket acts by derivations of the A-infinity structure. The
construction conjecturally defines a new presentation of the
Grothendieck-Teichmueller Lie algebra.
