  We discuss a general diagrammatic description of n-point functions in the QCD
instanton vacuum that resums planar diagrams, enforces gauge invariance and
spontaneously broken chiral symmetry. We use these diagrammatic rules to derive
the pion and kaon quasi-parton amplitude and distribution functions at leading
order in the instanton packing fraction for large but finite momentum. The
instanton and anti-instanton zero modes and non-zero modes are found to
contribute to the quasi-distributions, but the latter are shown to drop out in
the large momentum limit. The pertinent pion and kaon parton distribution
amplitudes and functions are made explicit at the low renormalization scale
fixed by the inverse instanton size. Assuming that factorization holds, the
pion parton distributions are evolved to higher renormalization scales with
one-loop DGLAP and compared to existing data.
