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Nodes

Nodes always consider the longest chain to be the correct one and will keep working on extending it. If two nodes broadcast different versions of the next block simultaneously, some nodes may receive one or the other first. In that case, they work on the first one they received, but save the other branch in case it becomes longer. The tie will be broken when the next proof-of-work is found and one branch becomes longer; the nodes that were working on the other branch will then switch to the longer one.
A collection of Satoshi Nakamoto’s words on this topic, gathered from the posts and emails in this archive.Text compiled by the Satoshi Nakamoto Institute, used under CC BY-SA 4.0. Formatting by Bitcoin.onl.
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