The core moves are deceptively simple: find the primary source (the original document or eyewitness), weigh what its producer would have known and would have wanted to be true, trace how the source was preserved and copied, and cross-check against independent sources with different incentives. Analysts also keep the source's general reliability separate from whether this particular claim is plausible.
A few advanced patterns matter. Astroturfing fakes grassroots support to borrow the trust we give ordinary citizens over corporations. Information laundering passes a shaky claim through steadily more respectable outlets until it looks solid, though no one ever verified it. And an admission against one's own interest deserves extra weight, precisely because it's costly to make. For how this fits into media analysis, see Media Literacy.