  In this note, we aim to extend the concepts of the Fontaine-Faltings module
and Higgs-de Rham flow to parabolic versions. The crucial aspect of our
generalization lies in the construction of parabolic inverse Cartier functors.
The twisted versions discussed in Sun-Yang-Zuo's work can be viewed as a
special case, wherein the parabolic weights are equal at every infinity point.
We note that a modulo $p$ version of parabolic Higgs-de Rham flow was
previously established by Krishnamoorthy and Sheng.
