Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birkhoff's Theorem for Panstochastic Matrices   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
$n>1$, $n \ne 5$.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph