Verge has a new development coming up soon. It's called Wraith Protocol and there's been a promo video making the rounds hyping it. It's supposed to improve the anonymity of Verge and make it 'best in class' of anonymous currencies.
Michael Stollaire, who is a member of the development team had this to say on reddit:
in short, Wraith Protocol accomplishes one thing: Verge will have all of the privacy and security features of our competition, including Monero, PIVX, ZCash, Dash, etc. However, Verge also has IP obfuscation built in with our i2P/Tor integrations. What does that mean? Verge becomes the #1 coin in the privacy space, period.
Now, about the technical white paper. It it almost complete. It will be released sometime very soon, during the month of September. About private/public ledgers, there is a very simple answer here. If you use Wraith, the transaction is on a PRIVATE ledger. However, not all Verge transactions will leverage Wraith. It is an option you could use, not an option you MUST use. Therefore, transactions not using the Wraith option will be on a PUBLIC ledger.
There's also a posting i've seen that says Wraith will enable Verge to use 'stealth addressing' which will prevent a blockchain explorer to track transactions. You can read the rest of it here: