In this talk I will attempt to familiarize the audience with the notion of an asymptotically hyperbolic manifold and give a rough outline of the most current joint work of myself and Jie Qing. Briefly, we take an approach similar to that developed by Miao in the asymptotically flat setting to establish a positive mass theorem for asymptotically hyperbolic spin manifolds admitting corners along a smooth hypersurface. Our main analytic achievement uses an integral representation of a solution to a perturbed eigenfunction equation to obtain an asymptotic expansion for a conformal factor prescribing scalar curvature with appropriate scalar curvature lower bound. This allows us to understand the change of the so-called “mass aspect” function under a conformal change of asymptotically hyperbolic metrics and ultimately the conclusion of our result.