Tetrapedia abdominalis Cresson, 1878:182, ♂♀. 1 ♂, 1 ♀, Mexico (American Entomology Society, leg. Sumichrast). - Cresson, 1879Cresson, E.T. 1879. Catalogue of North American Apidae. Transactions of the American Entomological Society and Proceedings of the Entomological Section of the Academy of Natural Sciences 7:215-232. (distribution); Dalla Torre, 1896Dalla Torre, C.G. 1896. Catalogus Hymenopterorum hucusque descriptorum systematicus et synonymicus, X. Apidae (Anthophila). Sumptibus Guilelmi Engelmann, 1-643. (distribution); Friese, 1899Friese, H. 1899. Monographie der Bienengattung Exomalopsis, Ptilothrix, Melitoma und Tetrapedia. Annalen des Naturhistorischen Museums in Wien 14:247-304. (distribution); Cockerell, 1899Cockerell, T.D.A. 1899. Catálogo de las Abejas de Mexico. Biblioteca Agricola de las Secretaria de Fomento, Mexico, 1-20. (distribution); Cockerell, 1906Cockerell, T.D.A. 1906. The North American bees of the family Anthophoridae. Transactions of the American Entomological Society 32:63-116. (distribution); Friese, 1916Friese, H. 1916. Zur Bienenfauna von Costa Rica. Stettiner Entomologische Zeitung 77:287-348. (distribution); Lutz & Cockerell, 1920Lutz, F.E. & T.D.A. Cockerell 1920. Notes on the distribution and bibliography of North American bees of the families, Apidae, Meliponidae, Bombidae, Euglossidae, and Anthophoridae. Bull. Amer. Mus. Nat. Hist 42 (15):491-641. (distribution); Michener, 1954Michener, C.D. 1954. Bees of Panamá. Bulletin of the American Museum of Natural History 104 (1):1-176.:116 ( listed as synonym of Paratetrapedia apicalis (Cresson, 1878)).
Tetrapedia apicalis Cresson, 1878:136, ♀. 3 ♀♀, Mexico (leg. Sumichrast). - Cresson, 1879Cresson, E.T. 1879. Catalogue of North American Apidae. Transactions of the American Entomological Society and Proceedings of the Entomological Section of the Academy of Natural Sciences 7:215-232. (distribution); Dalla Torre, 1896Dalla Torre, C.G. 1896. Catalogus Hymenopterorum hucusque descriptorum systematicus et synonymicus, X. Apidae (Anthophila). Sumptibus Guilelmi Engelmann, 1-643. (distribution); Friese, 1899Friese, H. 1899. Monographie der Bienengattung Exomalopsis, Ptilothrix, Melitoma und Tetrapedia. Annalen des Naturhistorischen Museums in Wien 14:247-304. (distribution); Cockerell, 1899Cockerell, T.D.A. 1899. Catálogo de las Abejas de Mexico. Biblioteca Agricola de las Secretaria de Fomento, Mexico, 1-20. (distribution); Cockerell, 1906Cockerell, T.D.A. 1906. The North American bees of the family Anthophoridae. Transactions of the American Entomological Society 32:63-116. (distribution); Lutz & Cockerell, 1920Lutz, F.E. & T.D.A. Cockerell 1920. Notes on the distribution and bibliography of North American bees of the families, Apidae, Meliponidae, Bombidae, Euglossidae, and Anthophoridae. Bull. Amer. Mus. Nat. Hist 42 (15):491-641. (distribution). - As Chalepogenus apicalis: - Cockerell, 1923Cockerell, T.D.A. 1923. Some bees from Victoria, Mexico. Proceedings of the United States National Museum 63 (Art. 8):1-5. (distribution). - As Paratetrapedia apicalis: - Michener, 1954Michener, C.D. 1954. Bees of Panamá. Bulletin of the American Museum of Natural History 104 (1):1-176. (distribution); Yáñez-Ordóñez & Hinojosa-Díaz, 2004Yáñez-Ordóñez, O. & I. Hinojosa-Díaz 2004. La colección himenopterológica (Insecta) del Museo de Zoología Alfonso L. Herrera de la Facultad de Ciencias, UNAM, México. Acta Zoológica Mexicana (nueva serie) 20 (1):167-197. (distribution); Nava-Bolaños & Osorio-Olvera, 2022Nava-Bolaños, A. & L. Osorio-Olvera 2022. Estado del arte del conocimiento de biodiversidad de los polinizadores de México. Revista Mexicana de Biodiversidad 93:1-77. (distribution).
Tetrapedia terminalis Cresson, 1878:136, ♀. Holotype ♀, Mexico (leg. Sumichrast). - Cresson, 1879Cresson, E.T. 1879. Catalogue of North American Apidae. Transactions of the American Entomological Society and Proceedings of the Entomological Section of the Academy of Natural Sciences 7:215-232. (distribution); Dalla Torre, 1896Dalla Torre, C.G. 1896. Catalogus Hymenopterorum hucusque descriptorum systematicus et synonymicus, X. Apidae (Anthophila). Sumptibus Guilelmi Engelmann, 1-643. (distribution); Friese, 1899Friese, H. 1899. Monographie der Bienengattung Exomalopsis, Ptilothrix, Melitoma und Tetrapedia. Annalen des Naturhistorischen Museums in Wien 14:247-304. (distribution); Cockerell, 1899Cockerell, T.D.A. 1899. Catálogo de las Abejas de Mexico. Biblioteca Agricola de las Secretaria de Fomento, Mexico, 1-20. (distribution); Cockerell, 1906Cockerell, T.D.A. 1906. The North American bees of the family Anthophoridae. Transactions of the American Entomological Society 32:63-116. (distribution); Lutz & Cockerell, 1920Lutz, F.E. & T.D.A. Cockerell 1920. Notes on the distribution and bibliography of North American bees of the families, Apidae, Meliponidae, Bombidae, Euglossidae, and Anthophoridae. Bull. Amer. Mus. Nat. Hist 42 (15):491-641. (distribution); Michener, 1954Michener, C.D. 1954. Bees of Panamá. Bulletin of the American Museum of Natural History 104 (1):1-176.:116 ( listed as synonym of Paratetrapedia apicalis (Cresson, 1878)).
Tetrapedia fraterna Cresson, 1878:136, ♂. 2 ♂♂, Mexico (leg. Sumichrast). - Cresson, 1879Cresson, E.T. 1879. Catalogue of North American Apidae. Transactions of the American Entomological Society and Proceedings of the Entomological Section of the Academy of Natural Sciences 7:215-232. (distribution); Dalla Torre, 1896Dalla Torre, C.G. 1896. Catalogus Hymenopterorum hucusque descriptorum systematicus et synonymicus, X. Apidae (Anthophila). Sumptibus Guilelmi Engelmann, 1-643. (distribution); Friese, 1899Friese, H. 1899. Monographie der Bienengattung Exomalopsis, Ptilothrix, Melitoma und Tetrapedia. Annalen des Naturhistorischen Museums in Wien 14:247-304. (distribution); Cockerell, 1899Cockerell, T.D.A. 1899. Catálogo de las Abejas de Mexico. Biblioteca Agricola de las Secretaria de Fomento, Mexico, 1-20. (distribution); Lutz & Cockerell, 1920Lutz, F.E. & T.D.A. Cockerell 1920. Notes on the distribution and bibliography of North American bees of the families, Apidae, Meliponidae, Bombidae, Euglossidae, and Anthophoridae. Bull. Amer. Mus. Nat. Hist 42 (15):491-641. (distribution); Michener, 1954Michener, C.D. 1954. Bees of Panamá. Bulletin of the American Museum of Natural History 104 (1):1-176.:116 ( listed as synonym of Paratetrapedia apicalis (Cresson, 1878)). - As Tetrapedia fratera: - Cockerell, 1906Cockerell, T.D.A. 1906. The North American bees of the family Anthophoridae. Transactions of the American Entomological Society 32:63-116. (distribution).