Thought Dandello's advice is generally sound, if you're considering what to use to suit the Archive, Michael, I wouldn't use asterisks.
That's because traditionally over the years asterisks on the Archive have been used to denote emphasis on words:
"*You* know what I'm talking about!" complained Lois.
Traditionally, too, direct thoughts and telepathy have been denoted on the Archive by using < > or / /:
<I'm a really lucky girl>, Lois thought
/I'm a really lucky girl/, Lois thought
So if you used asterisks to denote direct thoughts on the Archive, you might confuse some long term readers.
OTOH, whatever you use, you could always just pop in a little author's note at the top of the story to let readers know what you've chosen and, even using asterisks, you should avoid any puzzlement.
LabRat