The N=2 supersymmetry of Langevin SDEs has been linked to the Onsager principle of microscopic reversibility and Jarzynski equality. In classical mechanics, a relation between the corresponding N=2 supersymmetry and ergodicity has been proposed. In general form SDEs, where physical arguments may not be applicable, a lower level explanation of the TS is available. This explanation is based on understanding of the finite-time SEO as a stochastically averaged pullback of the SDE-defined diffeomorphisms (see subsection above). In this picture, the question of why any SDE has TS is the same as the question of why exterior derivative commutes with the pullback of any diffeomorphism. The answer to this question is differentiability of the corresponding map. In other words, the presence of TS is the algebraic version of the statement that continuous-time flow preserves continuity of X . Two initially close points will remain close during evolution, which is just yet another way of saying that M t t ′ is a diffeomorphism.