Bitcoin P2P e-cash paper

November 10, 2008 From : Satoshi Nakamoto

When there are multiple double-spent versions of the same transaction, one and only one will become valid.

The receiver of a payment must wait an hour or so before believing that it's valid. The network will resolve any possible double-spend races by then.

The guy who received the double-spend that became invalid never thought he had it in the first place. His software would have shown the transaction go from "unconfirmed" to "invalid". If necessary, the UI can be made to hide transactions until they're sufficiently deep in the block chain.

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