Campana's Orbifold Mordell conjecture

Let $(X,\Delta)$ be a C-pair over a number field $K$, where $X$ is a smooth proper curve of genus $g$. Here $\Delta$ is the orbifold boundary divisor of the C-pair, and potential density of integral points is defined using integral points of a suitable model after finite extension of $K$.

Orbifold Mordell conjecture. Assume that

$$2g-2 +\deg \Delta >0.$$

Then the C-pair $(X,\Delta)$ does not satisfy potential density of integral points.

This is the orbifold analogue of Mordell's finiteness theorem for curves of general type. The source gives no resolution of the conjecture.