Documented in Diogenes Laertius, Lives of the Philosophers 8.17, and in the later Pythagorean tradition: among the symbola stands the rule that having departed from your house, you must not turn back, for the Furies will be your attendants. The sayings were sorted into three kinds: what is, what is most, and what must be done; they governed beans, beds, baths, boundaries, and the handling of fire. Initiates spent years as akousmatikoi, hearers, allowed only to listen to the rules before they were permitted to ask why.
The folk reading treats the list as superstition in a toga: beans are bad, swallows in the house are bad, looking back is bad, reasons not included. The beans get the press, the looking-back rule gets Orpheus's shadow thrown over it retroactively, and the whole collection reads as proof that even mathematicians collect irrational fears.
The initiates' reading, pressed by modern scholarship (Burkert, Lore and Science in Ancient Pythagoreanism): the symbola were memory architecture and identity technology, a password system for a community that wrote nothing down. Obeying the absurd rules marked who belonged; interpreting them marked who advanced. The look-back rule, in this reading, is the exit protocol of the whole system: the Erinyes pursue whoever re-enters the life they renounced. The oldest don't-look-back in the West is not about the dead. It is about conversion, and the price of turning around mid-way.
Commandments, riddles, or an intelligence test with a five-year listening period?