Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dinv and Area   We give a new combinatorial proof of the well known result that the dinv of
an $(m,n)$-Dyck path is equal to the area of its sweep map image. The first
proof of this remarkable identity for co-prime $(m,n)$ is due to Loehr and
Warrington. There is also a second proof (in the co-prime case) due to Gorsky
and Mazin and a third proof due to Mazin.

7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci