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What would you say the fastest, smallest distributed ledgers are? How do they gain those advantages?
Proper answer is: It depends. If you have only a couple of nodes and they can be trusted, a system like Paxos or other 'classical' Byzantine Consensus algorithms are probably a lot faster.
But if you have a lot of nodes, or a large group of nodes might be untrustworthy, these will not perform as well.
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:-| hard for me to interpret html/bbcode inside armored pgp/gpg block ... I could not check the signature ...