Cosmicflows-4: The Catalog of ~10000 Tully-Fisher Distances

We present the distances of 9792 spiral galaxies lying within 15,000 km/s using the relation between luminosity and rotation rate of spiral galaxies. The sample is dominantly, but not exclusively, drawn from galaxies detected in the course of the ALFALFA HI survey with the Arecibo Telescope. Relations between HI line widths and luminosity are calibrated at SDSS u, g, r, i, z bands, and WISE W1 and W2 bands. By exploiting secondary parameters, particularly color indices, we address discrepancies between measured distances at different wavebands with unprecedented detail. We provide a catalog that includes reduced kinematic, photometric, and inclination parameters. A machine learning algorithm is described based on the random forest technique that predicts the dust attenuation in spirals lacking infrared photometry. A value of the Hubble Constant is determined of H0 = 75.1+-0.2 (stat.), with potential systematics up to +-3 km/s/Mpc.