We discuss the recent detection of pulsed gamma-ray emission from the Crab Pulsar above 100 GeV with the VERITAS array of atmospheric Cherenkov telescopes . Gamma-ray emission at theses energies is not expected in present pulsar models . We find that the photon spectrum of pulsed emission between 100 MeV and 400 GeV can be described by a broken power law , and that it is statistically preferred over a power law with an exponential cut-off . In the VERITAS energy range the spectrum can be described with a simple power law with a spectral index of -3.8 and a flux normalization at 150 GeV that is equivalent to 1 % of the Crab Nebula gamma-ray flux . The detection of pulsed emission above 100 GeV and the absence of an exponential cutoff rules out curvature radiation as the primary gamma-ray-producing mechanism . The pulse profile exhibits the characteristic two pulses of the Crab Pulsar at phases 0.0 and 0.4 , albeit 2-3 times narrower than below 10 GeV . The narrowing can be interpreted as a tapered particle acceleration region in the magnetosphere . Our findings require that the emission region of the observed gamma rays be beyond 10 stellar radii from the neutron star .