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Universality of citation distributions: Toward an objective measure of scientific impact

Abstract

We study the distributions of citations received by a single publication within several disciplines, spanning broad areas of science. We show that the probability that an article is cited c times has large variations between different disciplines, but all distributions are rescaled on a universal curve when the relative indicator cf = c/c0 is considered, where c0 is the average number of citations per article for the discipline. In addition we show that the same universal behavior occurs when citation distributions of articles published in the same field, but in different years, are compared. These findings provide a strong validation of cf as an unbiased indicator for citation performance across disciplines and years. Based on this indicator, we introduce a generalization of the h index suitable for comparing scientists working in different fields.


Publication:
Proceedings of the National Academy of Science
Pub Date:
November 2008
DOI:

10.1073/pnas.0806977105

10.48550/arXiv.0806.0974

arXiv:
arXiv:0806.0974
Bibcode:
2008PNAS..10517268R
Keywords:
  • bibliometrics;
  • analysis;
  • h index;
  • Physical Sciences:Applied Physical Sciences;
  • Physics - Physics and Society;
  • Condensed Matter - Statistical Mechanics;
  • Computer Science - Digital Libraries;
  • Physics - Data Analysis;
  • Statistics and Probability
E-Print:
7 pages, 5 figures. accepted for publication in Proc. Natl Acad. Sci. USA
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