Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reply to W. T. Kranz on "Explicit analytical solution for random close
  packing in $d=2$ and $d=3$"   A recent Comment by W. T. Kranz is shown to be plagued by a serious
mathematical error which makes its conclusions invalid.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex