  We show that the spectral energy distribution (SED) of the tightly focused
radiation generated by the superluminally moving current sheet in the
magnetosphere of a non-aligned neutron star fits the gamma-ray spectra of the
Crab, Vela and Geminga pulsars over the entire range of photon energies so far
detected by Fermi-LAT, MAGIC and HESS from them: over $10^2$ MeV to $20$ TeV.
While emblematic of any emission that entails caustics, the SED introduced here
radically differs from those of the disparate emission mechanisms currently
invoked in the literature to fit the data in different sections of these
spectra. We specify, moreover, the connection between the values of the fit
parameters for the analysed spectra and the physical characteristics of the
central neutron stars of the Crab, Vela and Geminga pulsars and their
magnetospheres.
