  In order to characterize the transverse momentum spectra of positive pions
measured in the ALICE experiment, two thermal approaches are utilized; one is
based on degeneracy of non-perfect Bose-Einstein gas and the other imposes an
{\it ad-hoc} finite pion-chemical potential. The inclusion of missing haron
states and the out-of-chemical equilibrium greatly contribute to the excellent
characterization of pion production. The excellent reproduction of the
experimental data can be understood as a manifestation of not-yet-regarded
anomalous pion-production, which likely contribute to the long-standing debate
on the {\it "anomalous"} proton-to-pion ratios at top RHIC and LHC energies.
