Positivity conjecture for the algebraic stringy Euler number

Let $X$ be a projective algebraic variety with at worst $\mathbb{Q}$-Gorenstein log-terminal singularities. Positivity conjecture. The algebraic stringy Euler number satisfies

$$e^{\rm str}_{\rm alg}(X)>0.$$

The conjecture asserts positivity for a generally rational-valued stringy invariant of singular projective varieties; its status is not specified in the source.