Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Initial Data in the Problem of Consistency on Cubic Lattices for $3
  \times 3$ Determinants   The paper is devoted to complete proofs of theorems on consistency on cubic
lattices for $3 \times 3$ determinants. The discrete nonlinear equations on
$\mathbb{Z}^2$ defined by the condition that the determinants of all $3 \times
3$ matrices of values of the scalar field at the points of the lattice
$\mathbb{Z}^2$ that form elementary $3 \times 3$ squares vanish are considered;
some explicit concrete conditions of general position on initial data are
formulated; and for arbitrary initial data satisfying these concrete conditions
of general position, theorems on consistency on cubic lattices (a consistency
"around a cube") for the considered discrete nonlinear equations on
$\mathbb{Z}^2$ defined by $3 \times 3$ determinants are proved.

8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin