Where does “поверить” come from?

поверить (Russian) comes from Russian ве́рить, from Proto-Slavic věriti, from Proto-Indo-European weh₁ros, from Proto-Indo-European weh₁- — true.

Ancestry of “поверить”, step by step

Step	Language	Word	Meaning
1	Russian	ве́рить	—
2	Proto-Slavic	věriti	—
3	Proto-Indo-European	weh₁ros	true
4	Proto-Indo-European	weh₁-	true

поверить — Etymology, Origin & Word History | Etymology Explorer