So, when someone writes “Bob’s Burgers”, it is actually short for “Bob Is Burgers”?
(Throws away book of those recipies he posts every episode)
Neither the word “its” nor the word “it’s” appear in that phrase, so what does that non sequitur have to do with anything?
The third person possessive form of the English language pronoun it is “its”. No apostrophe. Do you put apostrophes in other possessive pronouns?
Initially Bob owned the entire “Bob’s Burgers” restaurant so the sign itself was also hi’s. Then, when he went into bankruptcy, the bank owned it, so it became their’s. Then his sister bought it from the bank and it became her’s! She’s offering to sell it, so if you act soon it could become your’s, or we could join together to buy it jointly so that it would be our’s!
One’s.
You missed an opportunity to say “One puts an apostrophe in one’s pronoun.”