I skipped past the OpenAI marketripe the moment I came to the link in the first paragraph for the Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study⁠.

Pretty cool that Ed Witten is part of the group 😎

Anyway, check the IAS's Responsible Release of AI-Generated Mathematics -- it establishes some good guidelines usable for other disciplines as well.

Basically:

• cite your fucking references
• write the paper in a style and using terminology that as closely as possible matches existing published norms
• if the paper is not understood by any human yet, provide funding for grad student(s) and/or full on researchers to continue working on it until it is deemed human-understood

TBH it reminds me of the rules our team adopted for agentic coding: it's fine for an AI to write it, but make sure a competent human can easily read it.