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 35158140) with original publication details: Bot. Not. 1937: 77. 6 1937.
This name was in version 1 of The Plant List, record tro-35158140.