  I examine the high-energy behavior of the Ioffe-time distribution for the
quark bi-local space-like separated operator using the high-energy operator
product expansion. These findings have significant implications for lattice
calculations, which require extrapolation for large Ioffe-time values. I
perform an explicit Fourier transform for both the pseudo-PDF and quasi-PDF,
and investigate their behavior within the first two leading twist
contributions.
  I show that the quark pseudo-PDF captures the BFKL resummation (resummation
of all twists) and exhibits a rising behavior for small $x_B$ values, while the
quasi-PDF presents a different behavior. I demonstrate that an appropriate
small-$x_B$ behavior cannot be achieved solely through DGLAP dynamics,
emphasizing the importance of all-twist resummation. This study provides
valuable insights into quark non-local operators' high-energy behavior and the
limitations of lattice calculations in this context.
