  We introduce a novel approach to estimate the thermodynamic pressure from
heavy-ion collisions based on recently measured higher-order moments of
particle multiplicities by the STAR experiment. We start with fitting the
experimental results in the most-central collisions. Then, we integrate them
back to lower ones. For example, we find that the first-order moment, the mean
multiplicity, is exactly reproduced from the integral of variance, the
second-order moment. Therefore, the zero-order moment, the thermodynamic
pressure, can be estimated from the integral of the mean multiplicity. the
possible comparison between such a kind of pressure (deduced from the integral
of particle multiplicity) and the lattice pressure and the relating of Bjorken
energy density to the lattice energy density are depending on lattice QCD at
finite baryon chemical potential and first-principle estimation of the
formation time of the quark-gluon plasma (QGP).
