  We give a characterization of finite pointed tensor categories obtained as
de-equivariantizations of finite-dimensional pointed Hopf algebras over abelian
groups only in terms of the (cohomology class of the) associator of the pointed
part. As an application we prove that every coradically graded pointed finite
braided tensor category is a de-equivariantization of a finite dimensional
pointed Hopf algebras over an abelian group.
