Top Cited Articles of All Time (2012 edition) in math

The 100 most highly cited papers of All Time (2012 edition) in the math archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. More information about citations in INSPIRE can be found here.

Also note that the counts shown, and used in the rankings, are the counts as of 2018-12-30. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers.

Annual and All-time 2012 editions

2012 reports for eprints

  1. 918 citations up to the end of 2012
  2. 340 citations up to the end of 2012
  3. 334 citations up to the end of 2012
  4. 282 citations up to the end of 2012
  5. 258 citations up to the end of 2012
  6. 169 citations up to the end of 2012
    The Octonions
    John C. Baez (UC, Riverside, Math. Dept.). May 2001. 56 pp.
    Published in Bull.Am.Math.Soc. 39 (2002) 145-205, Erratum: Bull.Am.Math.Soc. 42 (2005) 213
    DOI: 10.1090/S0273-0979-01-00934-X, 10.1090/S0273-0979-05-01052-9
    e-Print: math/0105155 | PDF

  7. 161 citations up to the end of 2012
  8. 154 citations up to the end of 2012
  9. 151 citations up to the end of 2012
  10. 149 citations up to the end of 2012
  11. 148 citations up to the end of 2012
    The Intrinsic torsion of SU(3) and G(2) structures
    Simon Chiossi (Genoa U.), Simon Salamon (Turin Polytechnic). Feb 2002. 18 pp.
    Published in Submitted to: J.Diff.Geom.
    To appear in the proceedings of Conference: C01-05-08.4
    e-Print: math/0202282 | PDF

  12. 141 citations up to the end of 2012
  13. 134 citations up to the end of 2012
  14. 134 citations up to the end of 2012
  15. 128 citations up to the end of 2012
  16. 114 citations up to the end of 2012
    Lectures on special Lagrangian submanifolds
    Nigel J. Hitchin (Oxford U.). Jul 1999. 3 pp.
    Published in AMS/IP Stud.Adv.Math. 23 (2001) 151-182
    Conference: C99-01-04.1 Proceedings
    e-Print: math/9907034 | PDF

  17. 114 citations up to the end of 2012
  18. 109 citations up to the end of 2012
  19. 106 citations up to the end of 2012
  20. 104 citations up to the end of 2012
  21. 103 citations up to the end of 2012
  22. 94 citations up to the end of 2012
  23. 93 citations up to the end of 2012
  24. 90 citations up to the end of 2012
  25. 89 citations up to the end of 2012
  26. 86 citations up to the end of 2012
    XSummer: Transcendental functions and symbolic summation in form
    S. Moch (DESY, Zeuthen), P. Uwer (CERN). Jul 2005. 21 pp.
    Published in Comput.Phys.Commun. 174 (2006) 759-770
    DESY-05-104, SFB-CPP-05-24, CERN-PH-TH-2005-124
    DOI: 10.1016/j.cpc.2005.12.014
    e-Print: math-ph/0508008 | PDF

  27. 85 citations up to the end of 2012
  28. 82 citations up to the end of 2012
  29. 81 citations up to the end of 2012
  30. 81 citations up to the end of 2012
  31. 81 citations up to the end of 2012
  32. 75 citations up to the end of 2012
  33. 75 citations up to the end of 2012
  34. 74 citations up to the end of 2012
  35. 72 citations up to the end of 2012
  36. 71 citations up to the end of 2012
  37. 70 citations up to the end of 2012
  38. 70 citations up to the end of 2012
  39. 69 citations up to the end of 2012
  40. 67 citations up to the end of 2012
  41. 67 citations up to the end of 2012
  42. 66 citations up to the end of 2012
  43. 66 citations up to the end of 2012
  44. 66 citations up to the end of 2012
  45. 65 citations up to the end of 2012
  46. 64 citations up to the end of 2012
  47. 64 citations up to the end of 2012
  48. 63 citations up to the end of 2012
  49. 63 citations up to the end of 2012
  50. 62 citations up to the end of 2012
  51. 61 citations up to the end of 2012
  52. 60 citations up to the end of 2012
  53. 59 citations up to the end of 2012
  54. 59 citations up to the end of 2012
  55. 58 citations up to the end of 2012
  56. 58 citations up to the end of 2012
  57. 57 citations up to the end of 2012
  58. 56 citations up to the end of 2012
  59. 55 citations up to the end of 2012
  60. 55 citations up to the end of 2012
    Hodge integrals and Gromov-Witten theory
    C. Faber, R. Pandharipande. Oct 30, 1998. 27 pp.
    Published in Inventiones mathematicae 139 (2000) no.1, 173-199
    DOI: 10.1007/s002229900028
    e-Print: math/9810173 | PDF

  61. 54 citations up to the end of 2012
  62. 54 citations up to the end of 2012
  63. 54 citations up to the end of 2012
  64. 53 citations up to the end of 2012
  65. 53 citations up to the end of 2012
  66. 53 citations up to the end of 2012
  67. 53 citations up to the end of 2012
  68. 52 citations up to the end of 2012
  69. 52 citations up to the end of 2012
  70. 51 citations up to the end of 2012
  71. 50 citations up to the end of 2012
  72. 50 citations up to the end of 2012
  73. 50 citations up to the end of 2012
  74. 49 citations up to the end of 2012
  75. 49 citations up to the end of 2012
  76. 49 citations up to the end of 2012
  77. 49 citations up to the end of 2012
  78. 48 citations up to the end of 2012
  79. 48 citations up to the end of 2012
  80. 48 citations up to the end of 2012
  81. 47 citations up to the end of 2012
  82. 47 citations up to the end of 2012
  83. 47 citations up to the end of 2012
  84. 47 citations up to the end of 2012
  85. 47 citations up to the end of 2012
  86. 47 citations up to the end of 2012
  87. 46 citations up to the end of 2012
  88. 46 citations up to the end of 2012
  89. 46 citations up to the end of 2012
  90. 46 citations up to the end of 2012
  91. 46 citations up to the end of 2012
  92. 46 citations up to the end of 2012
  93. 45 citations up to the end of 2012
  94. 45 citations up to the end of 2012
  95. 45 citations up to the end of 2012
  96. 44 citations up to the end of 2012
  97. 44 citations up to the end of 2012
  98. 44 citations up to the end of 2012
  99. 44 citations up to the end of 2012
  100. 44 citations up to the end of 2012