arxiv:1503.06237 proposes a 5-qubit error-correcting code as an analogy for AdS/CFT duality. One of the authors, Beni Yoshida, has an expository post at quantumfrontiers.com and motls.blogspot.com. It includes the idea of joining together many instances of the 5-qubit code (which as a diagram is five lines meeting at a point), to build a finer-grained model of the AdS "bulk". Meanwhile, in category theory, pentagon and hexagon identities are important. What I'm wondering is whether this qubit-code tensor-network model of quantum gravity, has a relationship to some form of categorical quantum gravity. Potentially there's continuity between this question and inconclusive previous discussions about AdS/LQG. But I also hope there might be crisp insight into whether or not this particular analogy is misguided.