  Due to the low gamma-ray fluxes from pulsars above 50 GeV and the small
collecting area of space-based telescopes, the gamma-ray emission discovered by
the Fermi-LAT in $\sim$150 pulsars is largely unexplored at these energies. In
this regime, the uncertainties on the spectral data points and/or the
constraints from upper-limits are not sufficient to provide robust tests of
competing emission models in individual pulsars. The discovery of
power-law-type emission from the Crab pulsar at energies exceeding 100 GeV
provides a compelling justification for exploration of other pulsars at these
energies. We applied the method of Aperture Photometry to measure pulsar
emission spectra from Fermi-LAT data and present a stacked analysis of 115
pulsars selected from the Second Fermi-LAT Catalog of Gamma-ray Pulsars. This
analysis, which uses an average of $\sim$4.2 years of data per pulsar,
aggregates low-level emission which cannot be resolved in individual objects
but can be detected in an ensemble. We find no significant stacked excess at
energies above 50 GeV. An upper limit of $\sim$30% of the Crab pulsar level is
found for the average flux from 115 pulsars in the 100-177 GeV energy range at
the 95% confidence level. Stacked searches exclusive to the young pulsar
sample, the millisecond pulsar sample, and several other promising sub-samples
also return no significant excesses above 50 GeV.
