  We present a determination of the non-singlet transversity parton
distribution function (PDF) of the nucleon, normalized with respect to the
tensor charge at $\mu^2=2$ GeV$^2$ from lattice quantum chromodynamics. We
apply the pseudo-distribution approach, using a gauge ensemble with a lattice
spacing of 0.094 fm and the light quark mass tuned to a pion mass of 358 MeV.
We extract the transversity PDF from the analysis of the short-distance
behavior of the Ioffe-time pseudo-distribution using the leading-twist
next-to-leading order (NLO) matching coefficients calculated for transversity.
We reconstruct the $x$-dependence of the transversity PDF through an expansion
in a basis of Jacobi polynomials in order to reduce the PDF ansatz dependence.
Within the limitations imposed by a heavier-than-physical pion mass and a fixed
lattice spacing, we present a comparison of our estimate for the valence
transversity PDF with the recent global fit results based on single transverse
spin asymmetry. We find the intrinsic nucleon sea to be isospin symmetric with
respect to transversity.
