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We report the discovery of a new ultra-short-period planet and summarize theproperties of all such planets for which the mass and radius have beenmeasured. The new planet, EPIC~228732031b, was discovered in {\it K2} Campaign10. It has a radius of 1.81$^{+0.16}_{-0.12}~R_{\oplus}$ and orbits a G dwarfwith a period of 8.9 hours. Radial velocities obtained with Magellan/PFS andTNG/HARPS-N show evidence for stellar activity along with orbital motion. Wedetermined the planetary mass using two different methods: (1) the "floatingchunk offset" method, based only on changes in velocity observed on the samenight, and (2) a Gaussian process regression based on both the radial-velocityand photometric time series. The results are consistent and lead to a massmeasurement of $6.5 \pm 1.6~M_{\oplus}$, and a mean density of$6.0^{+3.0}_{-2.7}$~g~cm$^{-3}$.

The discovery and mass measurement of a new ultra-short-period planet: EPIC~228732031b