This name is a synonym of Stellaria monosperma var. japonica Maxim..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50106468) with original publication details: Bot. Mag. (Tokyo) 23: 145 1909.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:159394-1.
This name was in version 1 of The Plant List, record tro-50106468, and has not been changed.