I show that all hadron yields measured by the ALICE collaboration in Pb--Pb collisions at $\sqrt{s_{NN}}=2.76\TeV$ are well described within the chemical non-equilibrium statistical hadronization model (SHM). Model parameters are obtained as function of geometric centrality of colliding ions. We predict yields of unobserved hadrons, and anti-matter production at the LHC. The physical properties of the quark-gluon plasma fireball particle source are obtained and analyzed.
