Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perfectly packing a cube by cubes of nearly harmonic sidelength   In this paper we prove that for any $1/3 < t < 1/2$, and any $n_0$ chosen
sufficiently large depending upon $t$, the cubes of sidelength $n^{-t}$ for $n
\geq n_0$ can perfectly pack a cube of volume $\sum_{n=n_0}^\infty
\frac{1}{n^{3t}}$. Our work improves upon a previously known result for when
$1/3 < t \leq 4/11 $ and $n_0 = 1$ and builds upon recent work of Terence Tao
in the two-dimensional case.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga