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 | 19.6667 |
| 2001 | 27.7500 |
| 2002 | 42.7500 |
| 2003 | 55.2000 |
| 2004 | 76.0000 |
| 2005 | 109.6000 |
| 2006 | 142.1667 |
| 2007 | 185.5000 |
| 2008 | 223.1667 |
| 2009 | 263.1667 |
| 2010 | 290.2857 |
| 2011 | 329.2857 |
| 2012 | 376.7143 |
| 2013 | 418.7143 |
| 2014 | 443.8750 |
| 2015 | 490.3750 |
| 2016 | 541.5000 |
| 2017 | 588.0000 |
| 2018 | 634.0000 |
| 2019 | 678.2500 |
| 2020 | 722.5000 |
| 2021 | 766.6250 |
| 2022 | 774.2222 |
| 2023 | 815.0000 |
| 2024 | 855.6667 |