X-shooter spectrum between 4100 and 5600 Å showing the presence of H lines. The uppermost, blue-framed panel shows an overview over the whole spectral range, while the lower 5 panels zoom in of 180 Å each. We selected regions where most of the absorption bands of H are located. Light-grey lines always show the normalized spectrum, while dark-grey lines indicate the error spectrum. Red lines denote the best-fit H model. In the top panel, we also mark prominent metal absorption lines previously detected in GRB-DLAs (Christensen et al. 2011). In the lower panels, several individual H transitions are identified using standard nomenclature with lower and upper vibrational and rotational quantum numbers.