The archive of the software datafold is for publication in "The Journal of Open Source Software" (JOSS). The review is documented here: https://github.com/openjournals/joss-reviews/issues/2283 datafold is a Python package that provides data-driven models for point clouds to find an explicit mani-fold parametrization and to identify non-linear dynamical systems on these manifolds. Informally, a manifold is an usually unknown geometrical structure on which data is sampled. The explicit treatment of a manifold allows prior knowledge of a system and its problem-specific domain to be included. This can be the proximity between points in the dataset or functions defined on the phase space manifold of a dynamical system, such as (partially) known governing equation terms.