The phrase "such claims" refers to specific statements or assertions being discussed or referred to. It implies that there are certain statements or arguments under consideration or being talked about. Full definition
This is because the democratic legitimacy of such claims of authority rests precisely on the ability of those over whom that authority is claimed to challenge that claim as not representing them. (europeanlawblog.eu)
Although some forms of holistic medicine are touted for the treatment of cancer, there's very little scientific support for such claims. (verywellhealth.com)
Not only is this message better delivered by the hand of others, but it will support such claims of status when you do make them. (slaw.ca)