Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The density of rational points on Cayley's cubic surface   The Cayley cubic surface is given by the equation sum_{i=1}^4 X_i^{-1}=0. We
show that the number of non-trivial primitive integer points of size at most B
is of exact order B(log B)^6, as predicted by Manin's conjecture.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci