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: The paper explores why onion addresses—which are meant to be "self-certifying" and secure—are actually difficult for human users to verify.

When accessing .onion sites:

The primary purpose of Onion Verification is to ensure that a particular .onion site is legitimate and not a scam or a malicious site. This verification process typically involves cryptographic signatures, which confirm that a site's administrator has indeed claimed the site and is operating it. The verification helps users to ensure they are visiting a genuine site and not a fake one set up by malicious actors.

The number in this context is generally interpreted in two ways:

: Tools like the Tor Browser use specific UI elements, such as a gray key icon in the URL bar, to indicate an authenticated onion service that requires specific credentials to access.