This name is a synonym of Coryphantha pycnacantha (Mart.) Lem..
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: in Fl. Valle Tehuacán-Cuicatlán 14: 12 1997.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:1018026-1.
This name was in version 1 of The Plant List, record kew-2739726.