Mammillaria petrophila subsp. arida (Rose ex Quehl) D.R.Hunt, Mammillaria Postscripts 7: 3. 1998 sec. Hunt 2016
- ≡Mammillaria arida Rose ex Quehl in Monatsschr. Kakteenk. 23: 181. 1913 syn. sec. Hernández & Gómez-Hinostrosa 2015
- ≡Neomammillaria arida (Rose ex Quehl) Britton & Rose, Cactaceae 4: 73, t. 7, f. 3. 1923 syn. sec. Kew WCVP (2019)