  Cosmic rays bombard the lunar surface producing mesons, which attenuate
inside the regolith. They get slower and decay weakly into mostly sub-GeV
neutrinos leaving the surface. Thus the Moon shines in neutrinos. Here we
calculate spectra of low energy neutrinos, which exhibit bright features
potentially recognizable above isotropic neutrino background in the direction
towards the Moon. Their observation, though a very challenging task for future
neutrino large volume experiments, would make the Moon the nearest
astrophysical source for which the concept of multimessenger astronomy works
truly. Remarkably, some features of the lunar neutrino flux are sensitive to
the surface mass density of the Moon.
