  Identified-hadron (PID) spectra from 2.76 TeV Pb-Pb and $p$-$p$ collisions
are analyzed via a two-component (soft + hard) model (TCM) of hadron production
in high-energy nuclear collisions. The PID TCM is adapted with minor changes
from a recent analysis of PID hadron spectra from 5 TeV $p$-Pb collisions.
Results from LHC data are compared with a PID TCM for 200 GeV Au-Au pion and
proton spectra. 2.76 TeV proton spectra exhibit strong inefficiencies above 1
GeV/c estimated by comparing the $p$-$p$ spectrum with the corresponding TCM.
After inefficiency correction Pb-Pb proton spectra are very similar to Au-Au
proton spectra. PID A-A spectra are generally inconsistent with radial flow.
Jet-related Pb-Pb and Au-Au spectrum hard components exhibit strong suppression
at higher $p_t$ in more-central collisions corresponding to results from
spectrum ratio $R_{AA}$ but also, for pions and kaons, exhibit dramatic
enhancements below $p_t = 1$ GeV/c that are concealed by $R_{AA}$. In contrast,
enhancements of proton hard components appear only above 1 GeV/c suggesting
that the baryon/meson "puzzle" is a jet phenomenon. Modification of spectrum
hard components in more-central A-A collisions is consistent with increased
gluon splitting during jet formation but with approximate conservation of
leading-parton energy within a jet via the lower-$p_t$ enhancements.
