Citation Statistics from 110 Years of Physical Review
Open accessAbstract
Publicly available data reveal long-term systematic features about citation statistics and how papers are referenced. The data also tell fascinating citation histories of individual articles.
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Different temporal patterns of citations exist, with some articles starting soon to receive citations while others ('sleeping beauties') go unnoticed for a long time before attracting many citations.
“It is known that different temporal patterns of citations exist, with some articles starting soon to receive citations, while others ('sleeping beauties') go unnoticed for a long time, after which they are recognized as seminal and begin to attract a large number of citations [26, 27].”
From Universality of citation distributions: Toward an objective measure of scientific impact (2008) · cites this paper as [27]
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135 · see citing works
Accurate and simple analytic representation of the electron-gas correlation energy
Perdew, J. P., & Wang, Y. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.13244 · Cited by 25,009 · see citing works
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887 · see citing works
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471 · see citing works
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654 · see citing works
Dorogovtsev, S. N., & Mendes, J. F. F. (2002) · Advances In Physics · doi:10.1080/00018730110112519 · Cited by 3,231 · see citing works
Price, D. J. D. S. (1965) · Science · doi:10.1126/science.149.3683.510 · Cited by 3,121 · see citing works
Considerations on Double Exchange
Anderson, P. W., & Hasegawa, H. (1955) · Physical Review · doi:10.1103/physrev.100.675 · Cited by 3,026 · see citing works
Weak Interactions with Lepton-Hadron Symmetry
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ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
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A general theory of bibliometric and other cumulative advantage processes
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Redner, S. (1998) · The European Physical Journal B · doi:10.1007/s100510050359 · Cited by 1,509 · see citing works
Self-citationEvolution and Structure of the Internet
Pastor‐Satorras, R., & Vespignani, A. (2004) · Cambridge University Press eBooks · doi:10.1017/cbo9780511610905 · Cited by 1,327 · see citing works
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Connectivity of Growing Random Networks
Krapivsky, P. L., Redner, S., & Leyvraz, F. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.4629 · Cited by 1,210 · see citing works
Self-citationThe Web as a Graph: Measurements, Models, and Methods
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Organization of growing random networks
Krapivsky, P. L., & Redner, S. (2001) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.63.066123 · Cited by 879 · see citing works
Self-citationStretched exponential distributions in nature and economy: “fat tails” with characteristic scales
Laherrère, J., & Sornette, D. (1998) · The European Physical Journal B · doi:10.1007/s100510050276 · Cited by 698 · see citing works
Measuring preferential attachment in evolving networks
Jeong, H., Néda, Z., & Barabási, A.-Ĺ. (2003) · Europhysics Letters (EPL) · doi:10.1209/epl/i2003-00166-9 · Cited by 594 · see citing works
van Raan, A. F. J. (2004) · Scientometrics · doi:10.1023/b:scie.0000018543.82441.f1 · Cited by 579 · see citing works
Evolution and Structure of the Internet: A Statistical Physics Approach
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Introduction to Informetrics: Quantitative Methods in Library, Documentation and Information Science
Egghe, L., & Rousseau, R. (1990) · E-LIS Repository (University of Naples Federico II) · Cited by 386 · see citing works
Introduction to informetrics: Quantitative methods in library, documentation and information science
Nicholls, P. T. (1991) · Information Processing & Management · doi:10.1016/0306-4573(91)90073-u · Cited by 327 · see citing works
The impact-factors debate: the ISI's uses and limits
Moed, H. F. (2002) · Nature · doi:10.1038/415731a · Cited by 289 · see citing works
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Bennett, C. H., Gilles Brassard, A., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Cited by 261 · see citing works
Citation Statistics From More Than a Century of Physical ReviewPreprint
Redner, S. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0407137 · Cited by 74 · see citing works
Self-citationMetallic Phase with Long‐Range Orientational Order and No Translational Symmetry
Shechtman, D., Blech, I. A., Gratias, D., et al. (1998) · doi:10.1002/9781118788295.ch45 · Cited by 63 · see citing works
Flagged first, then by citations
Research works printed but not linked: 35
- PR 136, B864 (1964) 2460
- 4 Ground State of the Electron Gas by a Stochastic Method D. M. Ceperley, B. J. Alder PR 108, 1175 (1957) 1364 20.2 Theory of Superconductivity J. Bardeen, L. N. Cooper, J. R. Schrieffer PRL 19, 1264 (1967) 1306 15.5
- A Model of Leptons S. Weinberg PRB 12, 3060 (1975) 1259 18.4 Linear Methods in Band Theory O. K. Anderson PR 124, 1866 (1961) 1178 28.0 Effects of Configuration Interaction of Intensities and Phase Shifts U. Fano RMP 57, 287 (1985) 1055 9.2 Disordered Electronic Systems P. A. Lee, T. V. Ramakrishnan RMP 54, 437 (1982) 1045 10.8 Electronic Properties of Two-Dimensional Systems T. Ando, A. B. Fowler, F. Stern PRB 13, 5188 (1976) 1023 20.8 Special Points for Brillouin-Zone Integrations H. J. Monkhorst, J. D. Pack PR, Physical Review; PRB, Physical Review B; PRL, Physical Review Letters; RMP, Reviews of Modern Physics. Publication # cites Av. age Title Author(s) PR 40, 749 (1932) 562
- 8 On the Quantum Correction for Thermodynamic Equilibrium E. Wigner PR 46, 1002 (1934) 557 51
- 5 On the Interaction of Electrons in Metals E. Wigner PR 47, 777 (1935) 492
- 4 Interaction Between d-Shells in Transition Metals. II. Ferromagnetic Compounds of Manganese with Perovskite Structure C. Zener PR 82, 664 (1951) 663
- 6 On Gauge Invariance and Vacuum Polarization J. Schwinger PR 100, 545 (1955) 350
- E. O. Wollan, W. C. Koehler PR 100, 564 (1955) 275
- 0 Absence of Diffusion in Certain Random Lattices P. W. Anderson PR 115, 485 (1959) 484
- 4 Significance of Electromagnetic Potentials in the Quantum Theory Y. Aharonov, D. Bohm PR 118, 141 (1960) 500
- 4 Fractal Measures and Their Singularities: The Characterization of Strange Sets T. C. Halsey et al. PRL 58, 908 (1987) 625 1.9 Superconductivity at 93 K in a New Mixed-Phase Yb-Ba-Cu-O Compound System at Ambient Pressure M. K. Wu et al. PRL 58, 2794 (1987) 525
- 8 Theory of High-T c Superconductivity of Oxides V. J. Emery PRB 43, 130 (1991) 677
- 2 Thermal Fluctuations, Quenched Disorder, Phase Transitions, and Transport in Type-II Superconductors D. S. Fisher, M. P. A. Fisher, D. A. Huse PR, Physical Review; PRA, Physical Review A; PRB, Physical Review B; PRD, Physical Review D; PRL, Physical Review Letters. Table 4. The 10 Hot Papers, as Defined in the Text, Arranged Chronologically Publication # cites Av. age Title Author(s) PR 40, 749 (1932) 562
- 8 On the Quantum Correction for Thermodynamic Equilibrium E. Wigner PR 47, 777 (1935) 492
- 6 Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? A. Einstein, B. Podolsky, N. Rosen PR 109, 1492 (1958) 871
- 0 Absence of Diffusion in Certain Random Lattices P. W. Anderson PR 136, B864 (1964) 2460 28.7 Inhomogeneous Electron Gas P. Hohenberg, W. Kohn PR 140, A1133 (1965) 3227 26.6 Self-Consistent Equations Including Exchange and Correlation Effects W. Kohn, L. J. Sham PRB 13, 5188 (1976) 1023 20.8 Special Points for Brillouin-Zone Integrations H. J. Monkhorst, J. D. Pack PRL 48, 1425 (1982) 829 15.1 Efficacious Form for Model Pseudopotentials L. Kleinman, D. M. Bylander PRB 41, 7892 (1990) 691
- 7 Soft Self-Consistent Pseudopotentials in a Generalized Eigenvalue Formalism D. Vanderbilt PRB 45, 13244 (1992) 394
- D. J. de Solla Price, Science 149, 510 (1965);
- J. Amer. Soc. In- form. Sci. 27, 292 (1976).
- G. U. Yule, Phil. Trans. Roy. Soc. London, Ser. B 213, 21 (1925);
- H. A. Simon, Biometrika 42, 425 (1955).
- A.-L. Barabási, R. Albert, Science 286, 509 (1999).
- For examples of recent reviews, see R. Albert, A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002);
- S. N. Dorogovtsev, J. F. F. Mendes, Adv. Phys. 51, 1079 (2002);
- P. L. Krapivsky, S. Redner, F. Leyvraz, Phys. Rev. Lett. 85, 4629 (2000);
- P. L. Krapivsky, S. Redner, Phys. Rev. E 63, 066123 (2001).
- S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin, Phys. Rev. Lett. 85, 4633 (2000).
- H. F. Moed, Nature 415, 731 (2002).
- S. Redner, Eur. Phys. J. B 4, 131 (1998).
- J. Laherrère, D. Sornette, Eur. Phys. J. B 2, 525 (1998).
- A study based on smaller data sets showed similar behavior. See H. Jeong, Z. Neda, A.-L. Barabási, Europhys. Lett. 61, 567 (2003);
- A.-L. Barabási, H. Jeong, Z. Neda, E. Ravasz, A. Schubert, T. Vicsek, Physica A 311, 590 (2002).
- J. Kleinberg, R. Kumar, P. Raphavan, S. Rajagopalan, A. Tomkins, in Lecture Notes in Computer Science, vol. 1627, Springer-Verlag, New York (1999), p. 1.
- H. Nakamoto, in Informetrics 87/88: Select Proceedings of the 1st International Conference on Bibliometrics and Theo- retical Aspects of Information Retrieval, Diepenbeek, Bel- gium, 25-28 August 1987, L. Egghe, R. Rousseau, eds., Else- vier, New York (1988), p. 157.
- A. F. J. van Raan, Scientometrics 59, 467 (2004).
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Broido, A. D., & Clauset, A. (2019) · Nature Communications · doi:10.1038/s41467-019-08746-5 · Cited by 875 · see citing works
Universality of citation distributions: Toward an objective measure of scientific impact
Radicchi, F., Fortunato, S., & Castellano, C. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0806977105 · Cited by 828 · see citing works
Finding scientific gems with Google’s PageRank algorithm
Chen, P., Xie, H., Maslov, S., & Redner, S. (2007) · Journal of Informetrics · doi:10.1016/j.joi.2006.06.001 · Cited by 483 · see citing works
Self-citationMen Set Their Own Cites High: Gender and Self-citation across Fields and over Time
King, M. M., Bergstrom, C. T., Correll, S. J., Jacquet, J., & West, J. D. (2017) · Socius: Sociological Research for a Dynamic World · doi:10.1177/2378023117738903 · Cited by 275 · see citing works
Quantitative and empirical demonstration of the Matthew effect in a study of career longevity
Petersen, A. M., Jung, W.-S., Yang, J.-S., & Stanley, H. E. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1016733108 · Cited by 228 · see citing works
Power laws in citation distributions: evidence from Scopus
Brzezinski, M. (2015) · Scientometrics · doi:10.1007/s11192-014-1524-z · Cited by 196 · see citing works
The memory of science: Inflation, myopia, and the knowledge network
Pan, R. K., Petersen, A. M., Pammolli, F., & Fortunato, S. (2018) · Journal of Informetrics · doi:10.1016/j.joi.2018.06.005 · Cited by 79 · see citing works
Temporal patterns of genes in scientific publications
Pfeiffer, T., & Hoffmann, R. (2007) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0701315104 · Cited by 64 · see citing works
- Authors
- Redner, S.
- Affiliations
- Boston University (US)
- Corresponding author
- Redner, Sidney
- ORCID
- Redner, Sidney
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 2005-06-01
- Volume
- 58
- Issue
- 6
- Pages
- 49-54
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W1983454294
- Cited by
- 426
- References
- 31
- Citations by year
- 2026: 7 · 2025: 13 · 2024: 10 · 2023: 7 · 2022: 12 · 2021: 14 · 2020: 11 · 2019: 24 · 2018: 26 · 2017: 34 · 2016: 28 · 2015: 33 · 2014: 39 · 2013: 19 · 2012: 17
- FWCI
- 21.18
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physics Today (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › scientometrics and bibliometrics research
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Physical Sciences › Computer Science › Information Systems › Web visibility and informetrics
- Keywords
- citation statistics, citation analysis, Physical Review, citation history, scholarly publishing, bibliometric analysis, citation patterns
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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