  The MAJORANA DEMONSTRATOR is searching for neutrinoless double-beta decay in
76Ge using arrays of point-contact germanium detectors operating at the Sanford
Underground Research Facility. Background results in the neutrinoless
double-beta decay region of interest from data taken during construction,
commissioning, and the start of full operations have been recently published. A
pulse shape analysis cut applied to achieve this result, named AvsE, is
described in this paper. This cut is developed to remove events whose waveforms
are typical of multi-site energy deposits while retaining (90 +/- 3.5)% of
single-site events. This pulse shape discrimination is based on the
relationship between the maximum current and energy, and tuned using 228Th
calibration source data. The efficiency uncertainty accounts for variation
across detectors, energy, and time, as well as for the position distribution
difference between calibration and $0\nu\beta\beta$ events, established using
simulations.
