Ancilla to the Pre-Socratic Philosophers: 46. Archippus and Lŷsis of Tarentum; Opsimus of Rhêgium 46. ARCHIPPUS AND LŶSIS OF TARENTUM; OPSIMUS OF RHÊGIUM Archippus and Lŷsis of Tarentum: middle of fifth century. Opsimus of Rhêgium: contemporary, or a generation later. Pythagoreans; no writings survive. Lysis was sometimes credited with having written books ascribed to Pythagoras.