Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Unikonta |
| system | Opisthokonta Cavalier-Smith, 1987 |
| kingdom | Animalia Linnaeus, 1758 - animals |
| subregnum | Eumetazoa Butschli, 1910 |
| divisio | Bilateria Hatschek, 1888 - bilaterians |
| subdivisio | Deuterostomia - deuterostomes |
| phylum | Echinodermata Bruguière, 1791 - echinoderms |
| subphylum | Echinozoa |
| class | Echinoidea Leske, 1778 |
| subclass | Euechinoidea Bronn, 1860 |
| superorder | Stirodonta Jackson, 1912 |
| order | Arbacioida Gregory, 1900 |
| family | Arbaciidae Gray, 1855 |
| genus | Arbacia Gray, 1835 |
| species | Arbacia rivula (Cooke, 1941) † |