Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic uniqueness of the minimal Moulton central configuration   We prove that, for generic (open and dense) values of the masses, the
Newtonian potential function of the collinear N-body problem has $N!/2$
critical values when restricted to a fixed inertia level. In particular, we
prove that for generic masses, there is only one minimal Moulton configuration.

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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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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: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: q-alg