  We propose a new set of BMS charges at null infinity, characterized by a
super-translation flux that contains only the `hard' term. This is achieved
with a specific corner improvement of the symplectic 2-form, and we spell the
conditions under which it is unique. The charges are associated to a
Wald-Zoupas symplectic potential, and satisfy all standard criteria: they are
covariant, provide a center-less realization of the symmetry algebra, have
vanishing flux in non-radiative spacetimes, and vanish in Minkowski. We use
them to define a certain notion of localized energy density of gravitational
waves. They have potential applications to the generalized second law and to
soft theorems.
