  We report the observation of multiple magnetic transitions in single crystals
of EuPtAs using magnetization, transport, and thermodynamic measurements.
EuPtAs crystallizes in the noncentrosymmetric tetragonal LaPtSi-type structure
(space group I41md) and undergoes a second-order antiferromagnetic transition
at 14.8 K, which is followed by a first-order transition at about 7.5 K. Both
transitions are suppressed by magnetic fields applied parallel and
perpendicular to the c axis, and multiple field-induced transitions are
observed for both field directions, leading to complex temperature-field
diagrams with a dome-like magnetic phase for fields parallel to the c axis.
Moreover, the dependence of the low temperature resistivity on the application
of a training field, but the lack of remanent magnetization, suggests the
presence of multiple antiferromagnetic domains in zero-field.
