Hubble constant posteriors. Left: Hubble constants inferred by Flexible-CBC, Fullpop-PS, and Fullpop-4.0 via spectral sirens of 142 events, as well as that inferred via the bright siren of GW170817 (B. P. Abbott et al. 2017). Right: results of Flexible-CBC and Fullpop-4.0 combined with bright siren of GW170817 compared to the result of the bright siren solely. Vertical lines indicate the Hubble tension reference values from Planck and SH0ES (Planck Collaboration et al. 2020; A. G. Riess et al. 2022).