At the risk of saying something foolish, I won't attempt to answer the question myself. I understand that all three synchronically more or less equivalent and substitutable, but it would be quite nice to know the traditional usage notes on the abbreviations.
3 Answers
As far as I know, pg. is not an acceptable form, at least in formal writing. The correct forms are p. for a single page, and pp. for a range.
In many cases, actually, you don't need any of them. Quite commonly you'll find references in the form volume:page(s), like 5:204 or 8:99–108 (or, for works of a single volume, something like Blah Blah Blah 108).
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6In law, at is used to indicate a page number. Roe v. Wade, 410 U.S. 113, at 114.– msh210Commented Mar 30, 2011 at 15:27
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1There's more subtlety in it. Use p. if the source is a page or less long. For example, precede page numbers for newspaper articles and book chapters with p. or pp. (from APA Style Website )– taperCommented Mar 2, 2017 at 8:39
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3What to use if I cited from multiple pages in one place, each citation is from a single page? p. 1, 3, 5, or p.1, p.3, p. 5?– bruinCommented Dec 2, 2019 at 10:17
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@bruin I have seen it as pp. 1, 3, 5, but I do not speak with authority. Commented Dec 7, 2019 at 9:25
The APA style of referencing, which I have most frequently used, requires that p. is used for single page references or citations (Book Title, p. 13) while for multiple pages you must cite it as (pp. 35-40). So p stands for page, pp stands for pages. I have not encountered pg to be used, but I do use it in informal note taking.
Per Strunk and White's Elements of Style, p. is used to denote 1 page, pp. to denote a range of pages. This form of citation is used when you are using brief/in text citations. Otherwise, one would use the citation style for the type of formal paper that you are writing, for example, MLA would be "don't do it wrong" (Author's Last name 45) where the numbers indicate the page number where the quote is found, and the author's full name will be listed (along with other details about the source) in your works cited list.