Centrality integrated inclusive J/$\psi$ $R_{\rm{AA}}$ measured in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 2.76$ TeV as a function of rapidity for two $p_{\rm{t}}$ ranges. The open boxes contain the total systematic uncertainties except the ones on the integrated luminosity in the pp reference and on the $T_{\rm{AA}}$, i.e. 5.2% (8.3%) for the ALICE (CMS [11]) data. The two models [22, 23] predict the $R_{\rm{AA}}$ due only to shadowing effects for nDSg (shaded areas) and EPS09 (lines) nPDF respectively.