Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the principal ideal theorem in arithmetic topology   In this paper we state and prove the analogous of the principal ideal theorem
of algebraic number theory for the case of 3-manifolds from the point of view
of arithmetic topology.

4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con