Every ghost as one portfolio: what you hold, what it cost, what you made. Worked out in this tab from the ghosts' own transfers, which Trace check reads through the Ghostdex relay. Nothing is sent anywhere, and nothing on chain ties one ghost to another.
Ghosts are derived from your wallet, so Ghostdex needs to know which wallet is yours. Any browser wallet works, and so does the wallet built into Ghostdex.