Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Comparison Theorem and A Sharp Bound via the Ricci Flow   We prove a comparison theorem for the compact surfaces with negative Euler
characteristic via the Ricci flow.

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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol