We present progress results from the FASTSUM collaboration’s programme to determine the spectrum of the bottomonium system as a function of temperature using a variety of approaches. In this
contribution, the Backus-Gilbert method is used to reconstruct spectral functions from NRQCD
meson correlator data from FASTSUM’s anisotropic ensembles at nonzero temperature. We focus in
particular on the resolving power of the method, providing a demonstration of how the underlying
resolution functions can be probed by exploiting the Laplacian nature of the NRQCD kernel. We
conclude with estimates of the bottomonium ground state mass and widths at nonzero temperature.