The final part of the meta puzzle is to discover the four names of Loki. The start of this final stage is given in the video awarded for completing the puzzles in Puzzle Box 4, and is the directory '/lokiv'.
It seems that the trail for each name starts with the hidden directory given at the end of the video each week that is awarded when all the puzzles have been solved.
The first week gave '/on_the_run', where Loki asked to be contacted (details on the Meta Puzzle page, which eventually led to the message about the 'murmuring rock project'. This has led solvers to believe that Loki's first name, or the name of the first Loki in the final video, is Lorelei or Loreley.
The second week gave '/collectionplate', where the number of white boxes that had been identified was recorded. Once all 36 of these had been found (nine per week) (details on the collectionplate page, the page was replaced by a scrambled image. When reassembled, this image has been found to be the coat of arms of the Odessa Oblast (county). This has led solvers to believe that Loki's second name, or the name of the second Loki in the final video, is Odessa.
The third week gave '/more_answers', where the number of puzzles that had been solved was recorded. Once all 48 of these had been solved, the page was replaced by a word search of the solutions to all the puzzles (with an additional tetris-like drop down feature). When all the words are eliminated, one is left with the string '6B617261', which is the ASCII for 'kara'. This has led solvers to believe that Loki's third name, or the name of the third Loki in the final video, is Kara.
The fourth week gave '/roamingroaming', where an image of Loki with her glasses lowered was accompanied by a list of eight distances starting with '1. Mystery Spot', and the string 'TANLI'. This has not been solved, but is believed to link with the eight directions Loki gives, one per video, when lowering her glasses, and to result in her fourth name, or the name of the fourth Loki in the final video. Given that the first three names begin with L, O and K respectively, it is believed that the fourth name will begin with I. The main remaining unsolved matters are where the 'Mystery Spot' and the start of the geographical trail should be, and what 'TANLI' means. Theories for the former include Fremont Studios in Seattle, where the Jan 27th 'mystery' party was held, the Mystery Spot tourist attraction near Santa Cruz, California, the Bellagio Hotel, where Loki's first video is set, or the city of Rome in Italy. Theories for the latter are that some further processing must be done with the result of the geographical trail such as anagramming or translating to or from Latin.