Good morning e,

> If only one could prove that he won’t get into a boating accident.

At least in the context of Lightning channels, if one party in the channel 
loses its key in a boating accident, the other party (assuming it is a true 
separate person and not a sockpuppet) has every incentive to unilaterally close 
the channel, which reveals the exact amounts (though not necessarily who owns 
which).
If the other party then uses its funds in a new proof-of-reserves, then 
obviously the other output of the unilateral close was the one lost in the 
boating accident.

On the other hand, yes, custodians losing custodied funds in boating accidents 
is much too common.
I believe it is one reason why custodian proof-of-reserves is not that popular 
--- it only proves that the funds were owned under a particular key at some 
snapshot of the past, it does not prove that the key will not get lost (or 
"lost and then salvaged by a scuba diver") later.


Regards,
ZmnSCPxj

>
> e
>
> > On Jul 5, 2021, at 16:26, ZmnSCPxj via bitcoin-dev 
> > bitcoin-dev@lists.linuxfoundation.org wrote:
> > Good morning Billy,
> >
> > > I wonder if there would be some way to include the ability to prove 
> > > balances held on the lightning network, but I suspect that isn't 
> > > generally possible.
> >
> > Thinking about this in terms of economic logic:
> > Every channel is anchored onchain, and that anchor (the funding txout) is 
> > proof of the existence, and size, of the channel.
> > The two participants in the channel can sign a plaintext containing their 
> > node pubkeys and how much each owns.
> > One of the participants should provably be the custodian.
> >
> > -   If the counterparty is a true third party, it has no incentive to lie 
> > about its money.
> > -   Especially if the counterparty is another custodian who wants 
> > proof-of-reserves, it has every incentive to overreport, but then the first 
> > party will refuse to sign.
> >     It has a disincentive to underreport, and would itself refuse to sign a 
> > dishonest report that assigns more funds to the first party.
> >     The only case that would be acceptable to both custodians would be to 
> > honestly report their holdings in the Lightning channel.
> >
> > -   If the counterparty is a sockpuppet of the custodian, then the entire 
> > channel is owned by the custodian and it would be fairly dumb of he 
> > custodian to claim to have less funds than the entire channel.
> >
> > Perhaps a more practical problem is that Lightning channel states change 
> > fairly quickly, and there are possible race conditions, due to network 
> > latency (remember, both nodes need to sign, meaning both of them need to 
> > communicate with each other, thus hit by network latency and other race 
> > conditions) where a custodian Lightning node is unable to "freeze" a 
> > snapshot of its current state and make an atomic proof-of-reserves of all 
> > channels.
> > Regards,
> > ZmnSCPxj
> >
> > bitcoin-dev mailing list
> > bitcoin-dev@lists.linuxfoundation.org
> > https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev


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