  For a long time, lattice QCD was unable to address the $x$-dependence of
partonic distributions, direct access to which is impossible in Euclidean
spacetime. Recent years have brought a breakthrough for such calculations when
it was realized that partonic light-cone correlations can be accessed through
spatial correlations computable on the lattice. Appropriately devised
observables can be factorized into physical PDFs via a perturbative procedure
called matching, analogous to the standard factorization of experimental cross
sections. In this short review, aimed at a broader high-energy and nuclear
physics community, we discuss the recent highlights of this research program.
Key concepts are outlined, followed by a case study illustrating the typical
stage of current lattice extractions and by a brief review of the most recent
explorations. We finalize with a number of messages for the prospects of
lattice determinations of partonic structure.
