The Cashu protocol spec uses 'mint' and 'melt'. This may be a metaphor for minting coins from bullion and melting coins back into bullion. 'Mint' does not imply a change in supply, think about minting coins.

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I personally think that the terms "deposits" and "withdrawals" imply that the sats have not changed, when in fact they have.

From the perspective of users not familiar with the ecash minting principles, "deposits" and "withdrawals" are better terms. We are considering it. Thank you.