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Authentication is successfully validating that an entity you are communicating with is actually who they claim to be. The entity typically demonstrates who they are by showing they possess a secret that only they could know.
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What is the reason to separate domains in the internal hash algorithm of a merkle tree hash?
The document you refer to describes a method for hashing lists of data entries. Assume you do not prepend $0$ or $1$. Then, the hash for the list $(e_1, e_2)$ is $H(h_1 \| h_2)$ for $h_1 = H(e_1)$ and …