How would you prove the coins were taken by an attacker and not just moved by their owner? You can’t.
There’s no separate signature, no measurable distinction, just narrative. It’s trust all the way down.
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Exactly! And of course, vice versa, you can’t prove that an owner moves them and not an attacker. Except by the heavy KYC and AML process that someone would need to go through to actually dump a few billy worth of BTC at an OTC desk.