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If you want 1 page number = 1 screen then there is no alternative to pre-rendering the entire book.
The purpose of page numbers is two fold:
1. They provide a progress indicator
2. They provide a means to refer to specific content
As far as progress indication is concerned, any scheme based on content length as opposed to rendered content length is suitable
As for references, IMO paragraph numbers are far superior, and no, you don't have to prerender the contents to use paragraph numbers as references.
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