Cohen–Havet–López–Neumann's oriented-cycle subdivision conjecture

Let $C$ be an oriented cycle, and let a subdivision of $C$ be obtained by replacing each arc of $C$ by a directed path. A digraph is strong if every ordered pair of vertices is joined by a directed path. Cohen–Havet–López–Neumann's conjecture. For every oriented cycle $C$, there exists a constant $f(C)$ such that every strong digraph $D$ with

$$\chi(D) \geq f(C)$$

contains a subdivision of $C$. This extends Bondy's theorem from directed cycles to all oriented cycles. It is known for cycles with two blocks and for the antidirected cycle of length $4$, but remains open in general.