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In this communication, we present the results of the first experimental verification of a quantum level based on the use of the effect of a gravitational time shift and the method of relativistic synchronization. The difference in orthometric heights was measured between a point in Moscow oblast and Nizhny Novgorod at a distance of about 480 km. We used a highly stable mobile quantum clock with a relative instability of 1 × 10–15, which provided a measurement error of about 9.1 m. [ABSTRACT FROM AUTHOR]