  The pairing symmetry of superconducting states is a critical topic in the
realm of topological superconductivity. However, the pairing symmetry of the
$A\mathrm{V_3Sb_5}$ family, wherein $A=\mathrm{K,Rb,Cs}$, remains
indeterminate. To address this issue, we formulate an effective model on the
kagome lattice to describe topological superconducting states featuring chiral
charge density wave. Through this model, we explore the topological phase
diagrams and thermal Hall conductivity under various parameters, with and
without spin-orbit coupling. Our analysis reveals that the disparities in
thermal Hall conductivity curves between different pairing symmetries are
safeguarded by the topology resulting from the interplay of spin-orbital
coupling and superconducting states. Remarkably, this theoretical prediction
can potentially enable the differentiation of various superconducting pairing
symmetries in materials via experimental measurements of thermal Hall
conductivity curves.
