The variations in bronze Abkhazi badges reminded me of variations in Dagestan as well. Attached here are two additional Dagestani CEK badges, one in Silver one in Bronze. The bronze badge is with polished reverse no marks. The silver badge is marked PYe (that is ПЭ)along with worker and 875 and interestingly "a" for Leningrad. Postnikova-Loseva does not show any PYe in the 1927 - 1954 period.
Because it is marked 875 it is not believed to be 1.1. It should not be the first badge because it post dates 1927. I have seen this symbol several times on different badges for several republics from the mid-late 30's.
These badges differ from those shown in that they do not have a round edge for the Sun from which rays emanate. Rays under "Dag" match such that both badges were likely made by the same unknown maker. Light areas on the bronze badge are caused by having taken the picture out doors under an umbrella when the sun came out.