Tetrapedia pygmaea Schrottky, 1902:544, Lectotype ♂ (MZSP), designated by Aguiar & Melo, 2005Aguiar, A.J.C. & G.A.R. Melo 2005. Notes on the type species of the subgenera Paratetrapedia (Lophopedia) and P. (Amphipedia) (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 1084:31-42.:38; Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39, Lectotype ♂ (MZSP). - As Lophopedia pygmaea: - Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52. (distribution); Gaglianone et al., 2011Gaglianone, M.C., A.J. Camillo de Aguiar, F. Vivallo & I. Alves-dos-Santos 2011. Checklist das abelhas coletoras de óleos do Estado de São Paulo, Brasil. Biota Neotropica 11 (Supl. 1):657-666. (distribution); Oliveira Lima & Silvestre, 2017Oliveira Lima, F.V. de & R. Silvestre 2017. Abelhas (Hymenoptera, Apidae sensu lato) do Estado de Mato Grosso do Sul, Brasil. Iheringia Série Zoologia 107 (supl.):1-14. (distribution); Sagot et al., 2018Sagot, P, J. Mérida, R. Ayala & R. Vandame 2018. Situación actual del conocimiento de la fauna de abejas (Apoidea: Anthophila) del estado de Chiapas, México. In: (Ed.). Memorias X Congreso Mesoamericano sobre Abejas Nativas. 191-2011. (distribution). - As Paratetrapedia pygmaea: - Aguiar & Melo, 2005Aguiar, A.J.C. & G.A.R. Melo 2005. Notes on the type species of the subgenera Paratetrapedia (Lophopedia) and P. (Amphipedia) (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 1084:31-42. (distribution); Imperatriz-Fonseca et al., 2011Imperatriz-Fonseca, V.L., I. Alves-dos-Santos, P. Souza Santos-Filho, W. Engels, M. Ramalho, W. Wilms, J.B Vicentin Aguilar, C.A. Pinheiro-Machado, D. Araújo Alves & A. Matos Peixoto Kleinert 2011. Checklist of bees and honey plants from São Paulo State, Brazil. Biota Neotropica 11 (1a):631-655. (distribution). - As Tetrapaedia pygmaea:
Tetrapedia tarsalis Vachal, 1909:29, Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39, Holotype ♀ (MNHP). - Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39 ( listed as synonym of Lophopedia pygmaea (Schrottky, 1902)).
Tetrapedia albipes Friese, 1916:296, 334, ♂♀. 1 ♀, San Mateo (leg. Burgdorf); 1 ♂, Cali Cauca (Columbia) (leg. Fassl); 1 ♂, 2 ♀♀, Popayan (Columbia) (leg. Fassl); Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39, Lectotype ♀ (ZMB). - 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); Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39 ( listed as synonym of Lophopedia pygmaea (Schrottky, 1902)). - As Paratetrapedia albipes: - Michener, 1954Michener, C.D. 1954. Bees of Panamá. Bulletin of the American Museum of Natural History 104 (1):1-176. (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 albitarsis Friese, 1916:79, 91, ♂♀. 3 ♂♂, 3 ♀♀, San José; San Mateo, 1913; 1.Juli 1920 (leg. Schmidt); Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39, Lectotype ♂ (ZMB). Synonymized with Lophopedia pygmaea (Schrottky, 1902) by Aguiar, 2009Aguiar, A.J.C. 2009. Taxonomic revision of the bee genus Lophopedia Michener and Moure (Hymenoptera, Apidae, Tapinotaspidini). Zootaxa 2193:1-52.:39.