The mathematikoi had to lead their life according to rules, which defined what they ate, wore or even spoke. They had no personal possession and followed strict vegetarianism. Contrarily, the akousmatics were allowed to own personal properties and eat non-vegetarian food. They attended the school only during the day time.
The Society practiced strict secrecy not only about rites and rituals, but also about what was taught. Therefore, although it made outstanding contributions to mathematics it is hard to distinguish between the works of Pythagoras and that of his followers.