Geographers have been at the forefront of interrogating the changes made possible by the ubiquity of computing and the phenomenon of ‘big data’ in an emerging field known as ‘critical data studies’. In this article, I argue that engagement with the proliferation of computing infrastructures that make these new developments possible in the first place allows critical data studies to gain important historical-geographical perspective, connect to new manifestations of uneven development, and better grasp the role of non-human actors within emerging socio-technical relations. This expanded empirical framing opens up new theoretical implications and opportunities for public engagement with critical infrastructure.