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Re:Grin – A private and lightweight mimblewimble blockchain by EthanHeilman on Thursday January 03, 2019 @10:06PM (#18821654)
It does have amounts but the amounts aren't public. They are hidden behind a blinding factor using a technique called Confidential Transactions (CT) [0].

[0]: https://elementsproject.org/features/confidential-transactio...

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