We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles $\rho \in (0,1)$. We show GOE Tracy-Widom universality of the one-point fluctuations of the associated height function. The result phrased in last passage percolation language is the universality for the point-to-line problem where the line has an arbitrary slope.
"Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density." Electron. J. Probab. 23 1 - 24, 2018. https://doi.org/10.1214/18-EJP172