Two codes, two kinds of water
Arizona's surface water code, enacted June 12, 1919 and now called the Public Water Code, follows prior appropriation. Users apply for a permit and then a certificate, and beneficial use is the basis and limit of the right.
Groundwater is handled separately under the 1980 Groundwater Code, which created ADWR. Areas that rely heavily on mined groundwater are regulated as Active Management Areas: Prescott, Phoenix, Pinal, Tucson, Santa Cruz, Douglas, Willcox and Ranegras Plain.
Why Arizona isn't on the map yet
Surface water filings and well registrations come from two separate ADWR systems that mean different things. Most groundwater use isn't a "right" in the appropriative sense, so plotting both on one map as if they were the same would mislead.