 Attempts to connect debates about time with debates about persistence have focused on the disagreement between eternalists and presentists. But there is another dispute about time which may have some bearing on whether things have temporal parts. Eternalists agree that past, present and future times all exist, but they disagree amongst themselves as to whether there are important ontological differences between the three categories. Advocates of the ‘A-theory’ of time argue that the flow of time pushes events from one ontological status to another (presentists are usually taken to be A-theorists too). But advocates of the ‘B-theory’ of time think that there is no important ontological difference between past, present and future, and that there is no such thing as ‘the flow of time’. There is some tendency to think that the A-theory is more hospitable to endurantism, and the B-theory more hospitable to perdurantism, but there is no consensus on this matter.