How would one prove he is Satoshi Nakamoto if he lost his private keys

How would one prove he is Satoshi Nakamoto if he lost his private keys

Assume you're Satoshi Nakamoto, completely, and that you've forgotten your private key/s. How do you prove that this is true, using the BTC blockchain? Is there a transaction you can make, or a message you can sign? Remember, you don't remember your private keys.

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