Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponentially sized pointsets with angles less than 61 degrees   We prove that any set of points in $\mathbb{R}^d$, any three of which form an
angle less than $\frac{\pi}{3} + c$, has size $(1+\Theta(c))^d$ for
sufficiently small $c>0$. The proof is based on a refinement of an approach by
Erd\H{o}s and F\"{u}redi. The lower bound is relying on a problem about large
hypegraphs with small edge intersections, while the upper bound is tightly
connected to the problem of packing disjoint caps on a sphere.

3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas