Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Congruences modulo powers of $2$ for the number of unique path
  partitions   We compute the congruence class modulo 16 of the number of unique path
partitions of $n$ (as defined by Olsson), thus generalising previous results by
Bessenrodt, Olsson and Sellers [Ann. Combin. 13 (2013), 591-602].

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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ