Arithmetical Hierarchy: where to learn it?

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I'm studying Peter Smith's "An Introduction to Gödel's Theorems" but got stuck on the subject of arithmetical hierarchy. Given that, I would like to know what are the standard books and papers where people learn it.

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SOARE, Robert. Recursively Enumerable Sets and Degrees: A study of Computable Functions and Computably Generated Sets (1987) up to Ch.4.