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Within a chiral quark model, we evaluate the good cross section in theEuclidean space in the vector - axial vector channel, proposed recently by Maand Qiu as means to extract the so far elusive parton distribution functions ofthe pion from lattice QCD. Our results are remarkably simple at the quark modelscale and agree well, after the necessary QCD evolution, with with the mostrecent lattice calculations at the scale $\mu \sim 2$ GeV for various values ofthe lattice pion mass. Comparisons are made as functions of the Ioffe timevariable. We also comment on the information on the lowest moments in themomentum fraction $x$, generically extractable from such analyses, as well ason the inaccessibility of the $x \to 1$ limit from the present data.

Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model