Mammillaria pondii subsp. setispina (J.M. Coult.) D.R. Hunt, Mammillaria Postscripts 6: 7. 1997 sec. Hunt 2016
- =Cactus setispinus J.M. Coult. in Contr. U.S. Natl. Herb. 3: 106. 1894 syn. sec. ???
- =Mammillaria setispina (J.M. Coult.) K. Brandegee in Erythea 5: 117. 1897 syn. sec. ???
- =Cochemiea setispina (J.M. Coult.) Walton in Cact. J. (London) 2: 51. 1899 syn. sec. ???
- =Cochemiea pondii subsp. setispina (J.M. Coult.) U. Guzmán in Cactaceae Syst. Init. 16: 16. 2003 syn. sec. ???