  Non-perturbative lattice QCD calculations at non vanishing baryon number
density are hampered by the QCD sign problem. The path integral, that in
lattice QCD is calculated numerically, becomes highly oscillating. One possible
solution is the Lefschetz thimble approach. It requires a deformation of the
original integration domain into a manifold embedded in complex space. For
properly chosen integration manifolds ("thimbles") the sign problem is
drastically alleviated. For some bosonic and fermionic models this approach has
been shown to work. Here we apply the thimble disretization to
(0+1)-dimensional QCD with standard staggerd quarks and disscuss issues that
may arrise in higher dimensions.
