I'm not sure if there is obligation to cite anything. It's a question of ethics. A claim of proposing a novel method should be corrected in a scientific public

I'm not sure if there is obligation to cite anything. It's a question of ethics. A claim of proposing a novel method should be corrected in a scientific publication if shown false. Otherwise the author is knowingly adding falsehoods into the body of scientific knowledge, and their institution is allowing it.