Resolving Witten's superstring field theory

We regulate Witten's open superstring field theory by replacing the picturechanging insertion at the midpoint with a contour integral of picture changing insertions over the half-string overlaps of the cubic vertex. The resulting product between string fields is non-associative, but we provide a solution to the A(infinity) relations defining all higher vertices. The result is an explicit covariant superstring field theory which by construction satisfies the classical BV master equation.