is ecash cryptographicallyverifiable in an offline state?

obviously, a connection to the mint is needed, to make a spend, however if ecash is passed from one user to another, directly, can the receiver know that he has received good ecash, without relying on a connection to the mint?

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yes. NUT-12 has a spec for it. Not sure if any wallet implemented it yet. But it is possible. https://github.com/cashubtc/nuts/blob/main/12.md