  For any orientable finite-volume hyperbolic 3-manifold, this paper proves
that the profinite isomorphism type of the fundamental group uniquely
determines the isomorphism type of the first integral cohomology, as marked
with the Thurston norm and the fibered classes; moreover, up to finite
ambiguity, the profinite isomorphism type determines the isomorphism type of
the fundamental group, among the class of finitely generated 3-manifold groups.
