%0 Journal Article %T Birkhoff's Theorem for Panstochastic Matrices %A Dean L. Alvis %A Michael K. Kinyon %J Mathematics %D 1999 %I arXiv %X The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case $n=5$. It is shown that this analogue fails when $n>1$, $n \ne 5$. %U http://arxiv.org/abs/math/9911109v4