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The patterns would be similar to the patterns that occur in insider trading. The time traveler's trading activity would show that he is making the right bet more often than is statistically likely. However, a smart time traveler would probably change his address after each trade or bet, so it would be impossible to link his various transactions together. In this way, block chain technology would make it more difficult to prove time travel, as it makes it easier for the time traveler to hide his tracks.