Do you have to cite your own pre-print?
Across most of the social sciences, the answer would be: No, the published manuscript should not cite its own pre-print.
The pre-print is rather considered a draft version that happens to have circulated prior to its acceptance at a journal, where it transforms into its final version.
This seems to be grounded in the paradox of the published preprint being regarded as a preliminary, non-refereed and thus fictitiously unpublished paper (e.g., a Google search for &quot;preprints are unpublished&quot; yields enough pages with confusing semantics of that kind).