On Walter Wyss's no perfect cuboid paper

The perfect cuboid problem is an old famous unsolved problem in mathematics concerning the existence or non-existence of a rectangular parallelepiped whose edges, face diagonals, and space diagonal are of integer lengths. Recently Walter Wyss has published a paper [arXiv:1506.02215] claiming a solution of this problem. The purpose of this paper is to check out Walter Wyss’s result.