  Virtually any investigation involving dark matter halos relies on a
definition of their radius, mass, and of whether they are a subhalo. The halo
boundary is most commonly defined to include a spherical overdensity contrast
(such as R200c, Rvir, and R200m), but different thresholds lead to significant
differences in radius and mass. The splashback radius has recently been
suggested as a more physically motivated (and generally larger) halo boundary,
adding to the range of definitions. It is often difficult to assess the impact
of a particular choice because most halo catalogs contain only one or a few
definitions and generally only one set of host-subhalo relations. To alleviate
this issue, we present halo catalogs and merger trees for 14 N-body simulations
of LambdaCDM and self-similar universes. Based on ROCKSTAR catalogs, we compute
additional halo properties using the SPARTA code and recombine them with the
original catalogs. The new catalogs contain numerous variants of spherical
overdensity and splashback radii and masses and, most critically, host-subhalo
relations for each definition. We also present a new merger tree format where
the data is stored as a compressed, two-dimensional matrix. We perform basic
tests of the relation between different definitions and present an updated
model for the splashback-spherical overdensity connection. The SPARTA code, as
well as our catalogs and merger trees, are publicly available.
