  Aspects of black hole thermodynamics and information loss can be derived as a
consequence of Virasoro symmetry. To bolster the connection between Virasoro
conformal blocks and AdS$_3$ quantum gravity, we study sl$(2)$ Chern-Simons
Wilson line networks and revisit the idea that they compute a variety of
CFT$_2$ observables, including Virasoro OPE blocks, exactly. We verify this in
the semiclassical large central charge limit and to low orders in a
perturbative $1/c$ expansion.
  Wilson lines connecting the boundary to points in the bulk play a natural
role in bulk reconstruction. Because quantum gravity in AdS$_3$ is rigidly
fixed by Virasoro symmetry, we argue that sl$(2)$ Wilson lines provide building
blocks for background independent bulk reconstruction. In particular, we show
explicitly that they automatically compute the uniformizing coordinates
appropriate to any background state.
