π-core citation rate
The π-core citation rate, or π-rate, is the ratio of the π-core citations divided by the number of publications in the π-core. It is simply the average number of citations per core publication.
$$\pi\text{-rate}=\frac{C^\pi}{P_\pi}=\frac{\sum\limits_{i=1}^{P_\pi}C_i}{P_\pi}=\frac{100\pi_\text{index}}{\mathrm{floor}\left(\sqrt{P}\right)}$$History
| Year | π-rate |
|---|---|
| 1997 | 1.0000 |
| 1998 | 4.5000 |
| 1999 | 12.3333 |
| 2000 | 19.0000 |
| 2001 | 26.7500 |
| 2002 | 41.7500 |
| 2003 | 53.6000 |
| 2004 | 74.2000 |
| 2005 | 104.6000 |
| 2006 | 139.1667 |
| 2007 | 184.8333 |
| 2008 | 225.3333 |
| 2009 | 267.6667 |
| 2010 | 293.7143 |
| 2011 | 334.4286 |
| 2012 | 383.4286 |
| 2013 | 427.0000 |
| 2014 | 452.8750 |
| 2015 | 500.2500 |
| 2016 | 553.3750 |
| 2017 | 600.0000 |
| 2018 | 647.3750 |
| 2019 | 692.8750 |
| 2020 | 738.2500 |
| 2021 | 782.3750 |
| 2022 | 787.4444 |
| 2023 | 827.7778 |
| 2024 | 834.6667 |