This name is a synonym of Parodia miguillensis Cárdenas.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50323537) with original publication details: Cactus (Paris) 75: 21 1962.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:183373-2.
This name was in version 1 of The Plant List, record tro-50323537, and has not been changed.