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I don't know if "fork" is the right word here, but I know that two blocks can be mined around the same time, creating more than one competing block at a certain level of the blockchain.
Is it possible to get information for about these competing blocks from bitcoind?
1Note that not all orphan blocks will necessarily be propagated all around the network, so that might make hinder statistical analysis. – Jannes – 2015-10-24T16:45:56.020