Although there is general agreement that the output of a chatbot such as ChatGPT when incorporated into a person's work should be acknowledged, there is no current standard for accomplishing that. Some publishers are recommending against citation since ChatGPT doesn't meet the qualifications of an author. In addition, there is discussion about the extent of the citation as in whether it should include the original text prompt to the chatbot.
Some guidelines have been published by the following organizations:
This research guide from the University of Waterloo has some helpful illustrations of citation formats in the most common citation styles.
Unfortunately, even though many academic journals require that authors disclose if they have used generative AI like ChatGPT to write parts of their papers, there is evidence that this disclosure is not happening and not always being discovered prior to publication. Check out the Academ-AI dataset that aims to track the undeclared use of AI in the academic literature. If you want to read about disclosure of AI and see some examples, then review The Artificial Intelligence Disclosure Framework.
Should a chatbot/chatGPT be included as an author of a research paper or other published work? There is ongoing discussion as to what constitutes an "author."
Some publishers guidelines about authorship:
Until there are more established guidelines in the academic sector, it is recommended that people planning to publish their works check with their publisher and students doing assignments discuss this with their faculty.
There are multiple of lawsuits against AI companies for scraping authors', artists', performers', etc. content from the web to train their AI models. Is there a way to prevent these AI companies from accessing your creative content? This is an evolving topic. Here is one example of a solution, an application called Glaze. It can be used to cloak a person's art from being scraped by AI. And now there is Nightshade which actively deters AI companies from training on copyrighted art. STM Integrity Hub is a tool developed to help publisher's detect journal article submissions that violate research integrity including plagiarized data/images. Websites can use robots.txt files to limit what is scraped from a website.