We present inelastic neutron scattering data on the quantum paramagnet AgVOAsO 4 that establish the system is a S = 1/2 alternating spin chain compound and provide a direct measurement of the spin gap. We also present experimental evidence for two different types of field-induced magnetic order between µ 0 H c1 = 8.4 T and µ 0 H c2 = 48.9 T, which may be related to Bose-Einstein condensation (BEC) of triplons. Thermodynamic measurements in magnetic fields up to 60 T and temperatures down to 0.1 K reveal a H − T phase diagram consisting of a dome encapsulating two ordered phases with maximum ordering temperatures of 3.8 K and 5.3 K respectively. This complex phase diagram is not expected for a single-Q BEC system and therefore establishes AgVOAsO 4 as a promising multi-Q BEC candidate capable of hosting exotic vortex phases. 1 arXiv:1902.04633v1 [cond-mat.str-el]