Authorship is a very frustrating and difficult thing. I've been put on a paper for a key mathematical insight over a cup of coffee and literally written multipl

Authorship is a very frustrating and difficult thing. I've been put on a paper for a key mathematical insight over a cup of coffee and literally written multiple bits of text in a paper and denied anything more than an acknowledgement because I couldn't physically attend a meeting because I have a spinal injury. I personally think that being eager to formally those who helped you is the right approach, but cases of obvious fraud are not beneficial to all involved and serve to undermine trust in science by society