The model is trained and run to produce likely continuations, not verified statements. Fluency and factual accuracy are separate properties, and only the first is directly produced by the generation loop.
A plausible but invented citation
Ask for a source supporting a claim and the model may return an author, a title, a journal, and a year that all look right and belong to no real publication. Every part of that answer is a likely continuation of the request. The format of a citation is highly patterned, so producing one is easy; confirming that the cited work exists is a different task that the loop never performs.
Treat generated factual claims as drafts to be checked, not as sources. The more specific and checkable a claim looks, the more it is worth verifying, because specificity is a stylistic pattern the model reproduces easily.