Taranenko's extension to positive permanents of polystochastic matrices

A $d$-dimensional polystochastic matrix of order $n$ is a nonnegative $d$-dimensional array whose entries on every line sum to $1$. Its permanent is the sum of the products selected by diagonals. Taranenko's conjecture. The permanent of every polystochastic matrix of odd order $n$ or even dimension $d$ is positive.

This statement is presented as an extension of Wanless's conjecture from multidimensional permutations to all polystochastic matrices. The source does not state that the extension has been resolved.