It was my basically uninformed impression that the bitcoin blockchain consists of a series of transaction records that look like this:
- Address xxxxx1x sends 10 bitcoins to address xxxxx2x; address xxxxx7x mints 25 bitcoins
That is to say, the records show that balances increase and decrease, but there is no actual concept of a uniquely identifiable bitcoin (with, say, a serial number) -- there are only balances held by accounts. On this model, it isn't possible to say that other people's coins end up in your destination wallets. Is that not accurate?
(The fact that you can divide one bitcoin into 100,000,000 satoshi also suggests that there's no such thing as an individual bitcoin...)