  We compute the cohomology ring of the complement of a toric arrangement with
integer coefficients and investigate its dependency from the arrangement's
combinatorial data. To this end, we study a morphism of spectral sequences
associated to certain combinatorially defined subcomplexes of the toric
Salvetti category in the complexified case, and use a technical argument in
order to extend the results to full generality. As a byproduct we obtain:
  -a "combinatorial" version of Brieskorn's lemma in terms of Salvetti
complexes of complexified arrangements,
  -a uniqueness result for realizations of arithmetic matroids with at least
one basis of multiplicity 1.
