  We present finite-temperature, lattice Monte Carlo calculations of the
particle number density, compressibility, pressure, and Tan's contact of an
unpolarized system of short-range, attractively interacting spin-1/2 fermions
in one spatial dimension, i.e., the Gaudin-Yang model. In addition, we compute
the second-order virial coefficients for the pressure and the contact, both of
which are in excellent agreement with the lattice results in the low-fugacity
regime. Our calculations yield universal predictions for ultracold atomic
systems with broad resonances in highly constrained traps. We cover a wide
range of couplings and temperatures and find results that support the existence
of a strong-coupling regime in which the thermodynamics of the system is
markedly different from the noninteracting case. We compare and contrast our
results with identical systems in higher dimensions.
