New results on transverse momentum spectra of identified charged
hadrons in proton-proton collisions at $\sqrt{s} =$ 13 TeV are presented using
the CMS detector at the LHC. Charged pions, kaons, and protons in the
transverse-momentum range $p_\text{T} =$ 0.1-1.7 GeV/$c$ and for laboratory rapidities
$|y| < 1$ are identified via their energy loss in the CMS silicon tracker. The
$p_\text{T}$ spectra and integrated yields are compared to lower center-of-mass energy
pp, and to similar energy pPb and PbPb results, as well as to Monte Carlo
simulations.

For all collision systems studied, the average $p_\text{T}$ increases with particle
mass and with the charged-particle multiplicity of the event as expected from
theoretical predictions, among others from those based on gluon saturation. The
results show only a slight dependence of the average $p_\text{T}$ on the
center-of-mass energy, indicating that particle production at LHC energies is
strongly correlated with the charged-particle multiplicity rather than with the
center-of-mass energy of the collision. The observed dependencies show that at
TeV energies the characteristics of particle production in hadronic collisions
are constrained mostly by the amount of initial parton energy available in a
given collision.