  We report superconductivity in the ternary half-Heusler compound LuPtBi, with
Tc = 1.0 K and Hc2 = 1.6 T. The crystal structure of LuPtBi lacks inversion
symmetry, hence the material is a noncentrosymmetric superconductor.
Magnetotransport data show semimetallic behavior in the normal state, which is
evidence for the importance of spin-orbit interaction. Theoretical calculations
indicate that the strong spin-orbit interaction in LuPtBi should cause strong
band inversion, making this material a promising candidate for 3D topological
superconductivity.
