Of the iNaturalist authorities for vascular plants:
-VASCAN accepts Bistorta vivipara
-GoBotany accepts Bistorta vivipara
-not listed in the other authorities

Not a listed authority, but:
-Flora of North America also accepts Bistorta vivipara
-Euro+Med also accepts Bistorta vivipara
-Plants of the World Online also accepts Bistorta vivipara

See previous swap (Bistorta -> Persicaria), which referenced The Plant List.

At the time of this writing, Bistorta vivipara is an inactive species with 3 active descendants and 6 observations. Persicaria vivipara is active with no descendants and 220 observations.