  Context: Circumstellar debris disks provide insight into the formation and
early evolution of planetary systems. Resolved belts in particular help to
locate planetesimals in exosystems, and can hint at the presence of
disk-sculpting exoplanets. Aims: We study the circumstellar environment of HD
112810 (HIP 63439), a mid-F type star in the Sco-Cen association with a
significant infrared excess indicating the presence of a circumstellar debris
disk. Methods: We collected five high-contrast observations of HD 112810 with
VLT/SPHERE. We identified a debris disk in scattered light, and found that the
debris signature is robust over a number of epochs and a variety of reduction
techniques. We modelled the disk, accounting for self-subtraction and assuming
that it is optically thin. Results: We find a single-belt debris disk, with a
radius of 118$\pm$9au and an inclination angle of ${75.7}^{+1.1}_{-1.3}$$\deg$.
This is in good agreement with the constraints from SED modelling and from a
partially-resolved ALMA image of the system. No planets are detected, though
planets below the detection limit ($\sim$2.6M$_\textrm{J}$ at a projected
separation of 118au) could be present and could have contributed to sculpting
the ring of debris. Conclusions: HD 112810 adds to the growing inventory of
debris disks imaged in scattered light. The disk is faint, but the radius and
the inclination of the disk are promising for follow-up studies of the dust
properties.
