  Our main goal in the present article is to explain how one can reconstruct
the decomposition subgroups and norms of points on an arithmetic curve inside
its fundamental group if the following data are given: the fundamental group, a
part of the cyclotomic character and the family of the regulators of the fields
corresponding to the generic points of all \'{e}tale covers of the given curve.
The approach is inspired by that of Tamagawa for curves over finite fields but
uses Tsfasman-Vl\u{a}du\c{t} theorem instead of Lefschetz trace formula. To the
authors' knowledge, this is a new technique in the anabelian geometry of
arithmetic curves. It is conditional and depends on still unknown properties of
arithmetic fundamental groups. We also give a new approach via Iwasawa theory
to the local correspondence at the boundary.
