Use internet archive's wayback machine.
Original ticket in https://github.com/TheTorProject/gettor/issues/16
Opening this ticket to continue the discussion. A quick look gives me the impression that the only thing we should do after a new Tor Browser is released is visting the url http://web.archive.org/save/https://dist.torproject.org/torbrowser/version/name_version_lc.{exe,dmg,xz} and then the link will be created. I have to test if this works using a script.