The term "connectome" was introduced in a seminal 2005 PNAS article, as a sort of analogy to the genome. However, unlike genomics, the methods available to study human connectomics remain poorly defined and difficult to interpret. In particular, the use of diffusion-weighted imaging approaches to estimate physical connectivity is fraught with inherent limitations, which are often overlooked in the quest to publish "connectivity" findings. Here, I provide a brief commentary on these issues, and highlight a number of ways neuroscience can proceed in light of them.