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The rivet is called a blind or solid rivet . They have to be pressed in. Its unusual to remove them when restoring hubcaps.
I've used this company, Jay-Cee Sales & Rivet, Inc. for rivets on my cars. See https://rivetsinstock.com/ You may need special dies to fit the river. I used a one ton arbor manual press I got from Harbor Freight and made my own adapters to restore Mustang ashtrays.JimPictures added.