Temporal range: Ordovician
Cyrtobaltoceras was named by Flower (1964  who then assigned it to the Baltoceratidae which at that time was included in the Ellesmerocerida. The Baltoceratidae, along with included genera, has since been moved to the Orthocerida.
The genotype, Cyrobaltoceras gracile Flower, is based on a small, slender, incomplete, 25 mm long shell with a slight exogastric curvature. Sutures form lobes across the ventral side but go transversely striaight across the dorsum. The siphuncle is proportionally large, almost half the shell diameter in width, and lies against the ventral margin.
The holotype of Cyrtobaltoceras gracile, Reusseau Flower's no. 341, is housed in the paleontological collection of the New Mexico Museum of Natural History and Science in Albuquerque, N.M (U.S.A)
- Flower 1964; The Nautiloid Order Ellesmerocerida (Cephalopoda; Memour 12, New Mexico Bureau of Mines and MIneral Resources
- Kroger et al 2007; Early orthoceratoid cephalopods from the Argentine Precordillera, Journal of Paleontology Nov 2007; v. 81; no. 6; p. 1266-1283;
- Fossils (Smithsonian Handbooks) by David Ward