A systematic structure search in the Ce-H system under pressure reveals novel stable phases with intriguing electronic properties. Several cerium hydrides, CeH, CeH, and CeH, were found to be dynamically stable. Electron-phonon calculations coupled to Bardeen-Cooper-Schrieffer arguments indicate that they might be high- superconductors. In particular, the maximum values for -CeH and -CeH are 142 K and 168 K at 94 GPa. These findings may pave the way for achieving room temperature superconductors in dense hydrogen-rich compounds.
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