Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Smith and critical groups of Paley graphs   There is a Paley graph for each prime power $q$ such that $q\equiv 1\pmod 4$.
The vertex set is the field $\mathbb Fq$ and two vertices $x$ and $y$ are
joined by an edge if and only if $x-y$ is a nonzero square of $\mathbb Fq$. We
compute the Smith normal forms of the adjacency matrix and Laplacian matrix of
a Paley graph.

23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th