Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Writing Commutators of Commutators as Products of Cubes   It is known that commutators of commutators can be written as products of
cubes, with the current upper bound on the number of cubes being 60. We discuss
how proofs extracted via coset enumeration can be used to investigate this
problem, and exhibit a rewriting using only 14 cubes.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio