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The fundamental attack against blockchain systems is the double-spend attack.In this tutorial, we provide a very detailed explanation of just one section ofSatoshi Nakamoto's original paper where the attack's probability of success isstated. We show the derivation of the mathematics relied upon by Nakamoto tocreate a model of the attack. We also validate the model with a Monte Carlosimulation, and we determine which model component is not perfect.

An Explanation of Nakamoto's Analysis of Double-spend Attacks