<p></p>
<blockquote>
<p>How can a transfer in LN be verified? As its not on-chain I assume there is no equivalent to a block-explorer, but only the 2 wallets show the transactions which would not be a strong evidence for a mediator.</p>
</blockquote>
<p>An LN invoice contains a preimage. If you have paid that invoice, you have the preimage. In LND thereis a <em>listpayments</em> command that lists lightningpayments. It contains destination node, amount, hash and preimage among other things. The preimage is shared by the destination only upon successful payment.</p>

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