This name is a synonym of Persicaria alpina (All.) H.Gross.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50117734) with original publication details: Monogr. Amer. Sp. Polygonum 33 1895.
This name was in version 1 of The Plant List, record tro-50117734.