This name is a synonym of Conostomum pentastichum (Brid.) Lindb..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35158132) with original publication details: Kongl. Svenska Vetensk. Acad. Handl., n.s. 63(10): 54 1923.
This name was in version 1 of The Plant List, record tro-35158132.