Where does “asmáy” come from?

asmáy (Proto-Indo-Iranian) comes from Proto-Indo-European n̥smé, from Proto-Indo-European éǵh₂ — I.

Ancestry of “asmáy”, step by step

Step	Language	Word	Meaning
1	Proto-Indo-European	n̥smé	us
2	Proto-Indo-European	éǵh₂	I