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MOSFiT (for Modular Open-Source Fitter for Transients) is software to match transient light curves (such as for supernovae) with models of such light curves, for comparison of their observation/model compatibility, taking representations of models as input and evaluating the fit of input light-curve data. It supports the option of retrieving the light-curve data from Astrocats-based online catalogs such as the Open Supernova Catalog (OSC), the latter of which can also store the model-representations, facilitating collaborative research.