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this post was submitted on 23 Oct 2023
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https://www.getmonero.org/library/Zero-to-Monero-2-0-0.pdf
Chapter 5 page 43. Address how amounts are hidden. Commitments, and range proofs, but ring CT is the thing you really care about - The main mechanism by which transaction amounts and spend limits are verified.
Ring CTs, range proofs both rely on bulletproofs.
The zero to monero document references the bulletproofs, but does not go through the math and that document. If you want to also verify the bulletproof math here's the bulletproof paper https://eprint.iacr.org/2017/1066.pdf
All transactions are listed on the chain. All transactions can be linked to a wallet to prove the liquidity of the wallet.
Therefore all previous transactions made by a wallet are public record.
Not, anonymous.
The whole point of range proofs, and bulletproofs, is the ability to prove a transaction is balanced, without revealing the transaction history.
Ring CT, and key images, prevent double spend and prevents transaction history from being public.
I've given you the reference documents. If you'd like to read those documents and then discuss the details with me I will engage you in a reading group no problem.
But just repeating the same point back at me without reading what I've indicated or even acknowledging what I've said isn't productive for either of us.
I want to thank you, however, I've been meaning to go through all of the paperwork on monero. And this gave me an opportunity to do so.
You are hinging the claim of non-anonymity on a previous transaction on the wallet having linked a real-world person to the wallet, but that is not a given. Additionally, you could simply use a new wallet for each transaction to avoid (or at least massively minimize) this.
I don't like cryptocurrency, but your claim is kinda like saying that TLS between you and your bank is not secure because I shoulder-surfed you. That's not a failure of TLS (or in this case, their anonymization system), it's a failure of your own privacy practices.