Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On threefold canonical thresholds   We show that the set of threefold canonical thresholds satisfies the
ascending chain condition. Moreover, we derive that threefold canonical
thresholds in the interval $ (\frac{1}{2}, 1)$ consists of $ \{
\frac{1}{2}+\frac{1}{n}\}_{n \ge 3} \cup \{ \frac{4}{5}\}$.

3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg