  The hypertriton bound state is relevant for inference of knowledge about the
hyperon-nucleon (YN) interaction. In this work we compute the binding energy of
the hypertriton using the ab initio hypernuclear no-core shell model (NCSM)
with realistic interactions derived from chiral effective field theory. In
particular, we employ a large family of nucleon-nucleon interactions with the
aim to quantify the theoretical precision of predicted hypernuclear observables
arising from nuclear-physics uncertainties. The three-body calculations are
performed in a relative Jacobi-coordinate harmonic oscillator basis and we
implement infrared correction formulas to extrapolate the NCSM results to
infinite model space. We find that the spread of the predicted hypertriton
binding energy, attributed to the nuclear-interaction model uncertainty, is
about 100 keV. In conclusion, the sensitivity of the hypertriton binding energy
to nuclear-physics uncertainties is of the same order of magnitude as
experimental uncertainties such that this bound-state observable can be used in
the calibration procedure to constrain the YN interactions.
