Co‐production in digital cultural heritage settings has distinctive features, of interest to researchers and professionals in the field. Drawing on theories of hospitality and mobilities, this article explores the impact of multiple spaces and times, the ‘unknowable other’, the challenges to the stability of relationships of host and guest, and the rethinking of hospitality that come along with digital co‐production. It offers the concept of ‘trajectory’ as a new and generative way of considering hospitality. Tracing the concept of trajectory through a recent research project, Artcasting, it concludes with observations about how features of digital co‐production can and should shape our understandings and expectations of digital and mobile engagement with cultural heritage.