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In this paper, using the latest Pantheon+ sample of Type Ia supernovae (SNeIa), Baryon Acoustic Oscillation (BAO) measurements, and observational Hubbledata (OHD), we carry out a joint constraint on the Hubble constant $H_0$, thespatial curvature $\Omega_{\rm K}$, and the sound horizon at the end of dragepoch $r_{\rm d}$. To be model-independent, four cosmography models, i.e., theTaylor series in terms of redshift $y_1=z/(1+z)$, $y_2=\arctan(z)$,$y_3=\ln(1+z)$, and the Pad\'e approximants, are used without the assumption offlat Universe. The results show that the $H_0$ is anti-correlated with$\Omega_{\rm K}$ and $r_{\rm d}$, indicating smaller $\Omega_{\rm K}$ or$r_{\rm d}$ would be helpful in alleviating the Hubble tension. And the valuesof $H_0$ and $r_{\rm d}$ are consistent with the estimate derived from thePlanck Cosmic Microwave Background (CMB) data based on the flat $\Lambda$CDMmodel, but $H_0$ is in 2.3$\sim$3.0$\sigma$ tension with that obtained by\cite{Riess2022} in all these cosmographic approaches. Meanwhile, a flatUniverse is preferred by the present observations under all approximationsexcept the third order of $y_1$ and $y_2$ of the Taylor series. Furthermore,according to the values of the Bayesian evidence, we found that the flat$\Lambda$CDM remains to be the most favored model by the joint datasets, andthe Pad\'e approximant of order (2,2), the third order of $y_3$ and $y_1$ arethe top three cosmographic expansions that fit the datasets best, while theTaylor series in terms of $y_2$ are essentially ruled out.

Joint Constraints on the Hubble Constant, Spatial Curvature, and Sound Horizon from the Late-time Universe with Cosmography