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\subsection{Domain-level descriptive statistics}  Some descriptive statistics about the datasets analyzed in this article are presented in Figure \ref{fig:descriptive}. 4.  The first row of plots in Figure \ref{fig:descriptive} displays the arXiv subject domains of (a) downloaded, and (b) Twitter mentioned papers (by percentage). A full list of the subject domain abbreviations used in these plots is available in the Materials section, Table 2. We observe a broad and evenly spread distribution of subject domains for downloads and mentions: most papers downloaded and mentioned on Twitter relate to Physics, in particular Astrophysics, High Energy Physics, and Mathematics. The second row of plots in Figure \ref{fig:descriptive} 4  displays the temporal distributions of (c) downloads, and (d) Twitter mentions (the dotted line in both figures is obtained by fitting a 3rd order polynomial function for smoothing). As shown in Figure \ref{fig:arxiv_temporal}, download counts of articles increase over time. This may be partly caused by a cumulative effect: papers that were published earlier have had more time to accumulate reads than papers that were published later. Figure \ref{fig:total_tweets_temporal}, however, shows that the total number of tweets that mention arXiv papers decreases over time.