Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying the higher-order influence of scientific publications   Citation impact is commonly assessed using direct, first-order citation
relations. We consider here instead the indirect influence of publications on
new publications via citations. We present a novel method to quantify the
higher-order citation influence of publications, considering both direct, or
first-order, and indirect, or higher-order citations. In particular, we are
interested in higher-order citation influence at the level of disciplines. We
apply this method to the whole Web of Science data at the level of disciplines.
We find that a significant amount of influence -- 42% -- stems from
higher-order citations. Furthermore, we show that higher-order citation
influence is helpful to quantify and visualize citation flows among
disciplines, and to assess their degree of interdisciplinarity.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol