  Measurement of a non-zero electric dipole moment (EDM) of the electron within
a few orders of magnitude of the current best limit of |d_e| < 1.05 e -27 e cm
would be an indication of physics beyond the Standard Model. The ACME
Collaboration is searching for an electron EDM by performing a precision
measurement of electron spin precession in the metastable H state of thorium
monoxide (ThO) using a slow, cryogenic beam. We discuss the current status of
the experiment. Based on a data set acquired from 14 hours of running time over
a period of 2 days, we have achieved a 1-sigma statistical uncertainty of 1 e
-28 e cm/T^(1/2), where T is the running time in days.
