  Based on recent Lattice QCD (LQCD) results obtained at finite temperature, we
discuss modeling of the hadronic phase of QCD in the framework of Hadron
Resonance Gas (HRG) with discrete and continuous mass spectra. We focus on
fluctuations of conserved charges, and show how a common limiting temperature
can be used to constrain the Hagedorn exponential mass spectrum in different
sectors of quantum number, through a matching of HRG and LQCD. For strange
baryons, the extracted spectra are found to be consistent with all known and
expected states listed by the Particle Data Group (PDG). The strange-mesonic
sector, however, requires additional states in the intermediate mass range
beyond that embodied in the database.
