Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Limits of Dense Packing of Equal Spheres in a Cube   We examine packing of $n$ congruent spheres in a cube when $n$ is close but
less than the number of spheres in a regular cubic close-packed (ccp)
arrangement of $\lceil p^{3}/2\rceil$ spheres. For this family of packings, the
previous best-known arrangements were usually derived from a ccp by omission of
a certain number of spheres without changing the initial structure. In this
paper, we show that better arrangements exist for all $n\leq\lceil
p^{3}/2\rceil-2$. We introduce an optimization method to reveal improvements of
these packings, and present many new improvements for $n\leq4629$.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph