  The recently introduced cosmic sum rules combine the data from PAMELA and
Fermi-LAT cosmic ray experiments in a way that permits to neatly investigate
whether the experimentally observed lepton excesses violate charge symmetry.
One can in a simple way determine universal properties of the unknown component
of the cosmic rays. Here we attribute a potential charge asymmetry to the dark
sector. In particular we provide models of asymmetric dark matter able to
produce charge asymmetric cosmic rays. We consider spin zero, spin one and spin
one-half decaying dark matter candidates. We show that lepton flavor violation
and asymmetric dark matter are both required to have a charge asymmetry in the
cosmic ray lepton excesses. Therefore, an experimental evidence of charge
asymmetry in the cosmic ray lepton excesses implies that dark matter is
asymmetric.
