Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Overhang   How far off the edge of the table can we reach by stacking $n$ identical,
homogeneous, frictionless blocks of length 1? A classical solution achieves an
overhang of $1/2 H_n$, where $H_n ~ \ln n$ is the $n$th harmonic number. This
solution is widely believed to be optimal. We show, however, that it is, in
fact, exponentially far from optimality by constructing simple $n$-block stacks
that achieve an overhang of $c n^{1/3}$, for some constant $c>0$.

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph