If everyone withdraws every time, privacy gain is minimal. But (despite the obvious risk of a rug pull) using your ecash mining funds as a regular wallet to pay *other* things is a win. There's already something of a trust relationship, I guess

BTW, nostr:npub12rv5lskctqxxs2c8rf2zlzc7xx3qpvzs3w4etgemauy9thegr43sf485vg is there a standard way/protocol for a mint to announce a shutdown schedule? So wallets can (ideally automatically) move funds off?

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Sadly ehash tokens aren’t bitcoin, they’re a floating amount of bitcoin which depends on the specific epoch they were mined in (and their value is generally determined a day or so after they were minted, at least with todays payout schemes). They’re not really great to pay with (and I’m not sure a pool would ever want to allow transfer of the ehash tokens for regulatory reasons to begin with…)

This would also depend on the anonymity set. If many shares have the same reward, they should be indistinguishable. One could argue that the whole point about accounting is to delay withdrawals, so it's harder and harder for the mint to correlate your payments.

To your second point: this was just very recently proposed and we are going to add an expiry date to each keyset so that wallets know when to rotate out into a new keyset or withdraw from the mint at an announced date.