What's a reasonable distribution to model views over time of... this question?
One way too look at this problem, by looking at the literature, seems to frame it as an Hawkes process, as e.g. in  Rizoiu et al., https://arxiv.org/abs/1602.06033 .

The paper also cites previous work using other modeling approaches:
One set  of  approaches  describe  popularity  dynamics  [...] as being power-law shapes from either an  exogenous  shock  or  endogenous  relaxation,  a  combination of power-law and exponential decay, multiple
power-law decays with periodicity or a collection of recurrence peaks.