Computational digital historians have tended to elucidate their methods rather than advance interpretative arguments. While this attention to method is salutary, given the absence of methodological discussion in history generally, it is not clear how computational historians can advance historical arguments while also explaining methods. Drawing on a classic essay by David Hackett Fischer, “The Braided Narrative: Substance and Form in Social History,” this essay proposes a model for argumentative writing in computational digital history. Rather than using models such a methods section drawn from other disciplines, a braided narrative weaves together methodology and interpretation. The two strands strengthen one another when digital historians can elucidate how their methods and interpretations are mutually constitutive.