Relic neutrinos with mass 0.07 ^ { +0.02 } _ { -0.04 } eV , in the range consistent with Super-Kamiokande data , can explain the cosmic rays with energies in excess of the Greisen-Zatsepin-Kuzmin cutoff . The spectrum of ultra-high energy cosmic rays produced in this fashion has some distinctive features that may help identify their origin . Our mechanism does not require but is consistent with a neutrino density high enough to be a new kind of hot dark matter .