Hubble-constant results and the DES-DOVEKIE magnitude-offset check. (a) Values of H₀ with 1σ uncertainties. The first Pantheon+ case updates only the 52 affected magnitudes with the newly corrected Pantheon+ data; the second one replaces the complete 277-row H0DN Hubble-flow rung, its covariance, redshifts, and velocity corrections with the corrected Pantheon+ data. The three DES cases use the fixed weighted-mean offset, its propagated covariance from Equation (7), or the fixed median. The blue and gray bands show the H0DN baseline and ﹩{H}_{0}^{{\rm{CMB}},{\rm{\Lambda }}{\rm{CDM}}}=67.24\pm 0.35﹩ km s⁻¹ Mpc⁻¹, respectively (E. Camphuis et al. 2026). (b) For the 196 supernovae shared by DES-DOVEKIE and corrected Pantheon+, ﹩{C}_{i}={m}_{b,i}^{{\rm{corr}}}-{\mu }_{{\rm{DES}},i}﹩. Filled blue circles are the 160 unchanged overlaps; open orange circles are the 36 magnitude corrected overlaps. The black, dashed gray, and orange lines show the weighted mean (−19.3766 mag), median (−19.3660 mag), and fitted redshift trend (0.195  ±  0.255 mag per unit redshift); the scatter is 0.0823 mag.