“…It is broadly accepted that the probability of finding a valid block-the "arrival rate" of valid blocks-is a Poisson process (Bowden, Keeler, Krzesinski, & Taylor, 2018). This is assumed by authors including Nakamoto (2008), Rosenfeld (2011), Eyal and Sirer (2013), Decker and Wattenhofer (2013), Rosenfeld (2014), A. K. Miller and LaViola (2014), Sapirshtein, Sompolinsky, and Zohar (2015), Göbel, Keeler, Krzesinski, and Taylor (2015), Lewenberg, Bachrach, Sompolinsky, Zohar, and Rosenschein (2015), Houy (2016), Cocco and Marchesi (2016), Solat and Potop-Butucaru (2016), Beccuti and Jaag (2017), Chiu and Koeppl (2017), Dimitri (2017), Aggarwal, Brennen, Lee, Santha, and Tomamichel (2018), L. Cong, Li, and Wang (2018), Hayes (2019), Easley, O'Hara, and Basu (2019), L. W. Cong, He, and Li (2019), and Wang et al (2019). The assumption that the mining process follows the Poisson distribution implies that the miners' probabilities of winning remain constant throughout the race (i.e., throughout the time that elapses between the moment at which a miner starts trying to find the next valid block and the moment at which any miner finds and broadcasts that valid block).…”