This dataset contains results of a coarsening simulation using the Cahn-Hilliard model with a concentration-dependent mobility that reduces mass transport away from the diffuse interface. This model does not modify the Gibbs-Thomson effect that normally exists in the Cahn-Hilliard model, and thus concentrations in the bulk are affected by the curvature of nearby interfaces (hence the designation 'solubility-permitting'). The simulation was conducted with isotropic interfacial energy and a nominal volume fractions of 36%. The types of data included are raw simulation output, interfacial shape distributions (ISDs), and spreadsheets containing the time evolution of characteristic quantities of the structure. In files that contain data from a single simulation time, simulation time is typically indicated in the filename by the iteration number (i.e., the simulation time divided by the time step size, which is 0.05). The authors acknowledge funding from the US Department of Energy (DE-SC0015394) and computational resources from NSF XSEDE (OCI-1053575, Allocation: TG-DMR110007), and University of Michigan Advanced Research Computing.