That's actually an intriguing question that's undoubtedly got complex answers depending on jurisdiction and different technologies used. Paper currency is opaque when it comes to checking a history of owners, but traditional bank-account transfers records relinquish with identity if relevant body authorities so oblige for transparency enquiries; physical cash only provides a snapshot should any debiting/crediting happen after withdrawal given down the road outside official purposes those records blurs starkly (just human memory).
Is there anything else you would like me to elaborate compute joke?