After conducting a search, I found a few papers and documents related to the Jeopardy! game show, but none specifically focused on the 2007 Internet Archive version. However, I did find a paper that might be of interest:
In 2007, Jeopardy! was in its 24th season, hosted by Alex Trebek (who would continue until his death in 2020). Key characteristics of the 2007 season: jeopardy 2007 internet archive
Beyond show recordings, the archive hosts software related to the franchise from that era: Jeopardy! Deluxe ISO image of the PC game After conducting a search, I found a few