The American Psychological Association, APA, provides guidance on referencing use of the output of an AI tool and on referencing the AI tool as a system. Their guidance follows their latest citation formatting guidelines for citing personal communication (the output of an AI tool) and for citing software (AI tool as a system).
Their blog post with examples can be found at: https://apastyle.apa.org/blog/how-to-cite-chatgpt
The Modern Language Association, MLA, uses their template of core elements to guide writers in the creation of their citations for use of the output of an AI generator. The website MLA devotes to describing their approach to building a reference to the use of AI also includes examples on how to cite:
The website and examples can be found at: https://style.mla.org/citing-generative-ai/