  This paper studies super $r$-matrices and operator forms of the super
classical Yang-Baxter equation. First by a unified treatment, the classical
correspondence between $r$-matrices and $\mathcal{O}$-operators is generalized
to a correspondence between homogeneous super $r$-matrices and homogeneous
$\mathcal{O}$-operators. Next, by a parity reverse of Lie superalgebra
representations, a duality is established between the even and the odd
$\mathcal{O}$-operators, giving rise to a parity duality among the induced
super $r$-matrices. Thus any homogeneous $\OO$-operator or any homogeneous
super $r$-matrix with certain supersymmetry produces a parity pair of super
$r$-matrices, and generates an infinite tree hierarchy of homogeneous super
$r$-matrices. Finally, a pre-Lie superalgebra naturally defines a parity pair
of $\mathcal{O}$-operators, and thus a parity pair of super $r$-matrices.
