Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Grothendieck constant is strictly smaller than Krivine's bound   We prove that $K_G<\frac{\pi}{2\log(1+\sqrt{2})}$, where $K_G$ is the
Grothendieck constant.

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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an