  We show that all central rapidity hadron yields measured in Pb--Pb collisions
at $\sqrt{s_{NN}}=2.76$ TeV are well described by the chemical non-equilibrium
statistical hadronization model (SHM), where the chemically equilibrated QGP
source breaks up directly into hadrons. SHM parameters are obtained as a
function of centrality of colliding ions, and we compare CERN Large Hadron
Collider (LHC) with Brookhaven National Laboratory Relativistic Heavy Ion
Collider (RHIC) results. We predict yields of unobserved hadrons and address
anti-matter production. The physical properties of the quark--gluon plasma
fireball particle source show universality of hadronization conditions at LHC
and RHIC.
