Number mysticism — the belief that numbers carry symbolic weight beyond quantity — genuinely goes back millennia, showing up in Greek, Hebrew, and Chinese traditions long before anyone was calculating a "life path." Pythagoras and his followers are the figures most often invoked, largely for treating numbers as fundamental to reality itself.
But the specific technique of reducing a full birth date to a single digit — the thing most people mean by "life path number" today — is a much newer invention, assembled and popularized in the United States in the early 1900s rather than inherited whole from antiquity.
