From CMOS website:
Q. How do you recommend citing content developed or generated by artificial intelligence, such as ChatGPT? Many scholarly publishers are requiring its identification though also requiring human authors to take responsibility for it and will not permit the AI to have “authorship.”
A. You do need to credit ChatGPT and similar tools whenever you use the text that they generate in your own work. But for most types of writing, you can simply acknowledge the AI tool in your text (e.g., “The following recipe for pizza dough was generated by ChatGPT”).
If you need a more formal citation—for example, for a student paper or for a research article—a numbered footnote or endnote might look like this:
1. Text generated by ChatGPT, OpenAI, March 7, 2023, https://chat.openai.com/chat.
ChatGPT stands in as “author” of the content, and OpenAI (the company that developed ChatGPT) is the publisher or sponsor, followed by the date the text was generated. After that, the URL tells us where the ChatGPT tool may be found, but because readers can’t necessarily get to the cited content (see below), that URL isn’t an essential element of the citation.
If the prompt hasn’t been included in the text, it can be included in the note:
1. ChatGPT, response to “Explain how to make pizza dough from common household ingredients,” OpenAI, March 7, 2023.
How to cite an AI
Consult your style guides. Right now there is no consensus on how to cite an AI. Whichever style it should include: The company name as creator of the AI, the model used, include either the date or the version number, date of access, and something about it being a "Large Language Model" or type of model. There should be no need to give the whole prompt used, but you may wish to describe the prompt used in the text of your paper.
One writer that I respect, Reed Hepler of South Utah University, views information taken from an AI is an act of collaboration and therefore, both the author and the AI should be included in the citation. His examples follow.
His APA template:
Last, F. and [Model name], (year). "[Chat title]", conversation with [tool name] [Large Language/Image Model] ([version information]). Generated on [date]. [shareable link to the chat, if possible].
and his APA example:
Hepler, R., and OpenAI. (2023). "Balrogs might have wings", online conversation with ChatGPT [Large Language Model] (August 3 Version). Generated on August 22, 2023. https://chat.openai.com/share/15d75e9f-16d3-4ebf-81b8-f675528ed267
The MLA / Chicago / Turabian / SBL analogue would be:
Hepler, R. and OpenAI. "Balrogs Might Have Wings." Conversation with ChatGPT. August 3 Version, 22 Aug. 2023, chat.openai.com/share/15d75e9f-16d3-4ebf-81b8-f675528ed267