> > you burn them to be used at a future particular block height

> This sounds exploitable. It seems like an attacker could simply focus all 
> their burns on a particular set of 6 blocks to double spend, minimizing their 
> cost of attack.

could be right.   the original idea was to have burns decay over time,
like ASIC's.

anyway the point was not that "i had a magic formula"

the point was that proof of burn is almost always better than proof of
stake - simply because the "proof" is on-chain, not sitting on a node
somewhere waiting to be stolen.

On Mon, May 24, 2021 at 9:53 PM Billy Tetrud <billy.tet...@gmail.com> wrote:
>
> Is this the kind of proof of burn you're talking about?
>
> >   if i have a choice between two chains, one longer and one shorter, i can 
> > only choose one... deterministically
>
> What prevents you from attempting to mine block 553 on both chains?
>
> > miners have a very strong, long-term, investment in the stability of the 
> > chain.
>
> Yes, but the same can be said of any coin, even ones that do have the nothing 
> at stake problem. This isn't sufficient tho because the chain is a common 
> good, and the tragedy of the commons holds for it.
>
> > you burn them to be used at a future particular block height
>
> This sounds exploitable. It seems like an attacker could simply focus all 
> their burns on a particular set of 6 blocks to double spend, minimizing their 
> cost of attack.
>
> > i can imagine scenarios where large stakeholders can collude to punish 
> > smaller stakeholders simply to drive them out of business, for example
>
> Are you talking about a 51% attack? This is possible in any decentralized 
> cryptocurrency.
>
>
> On Mon, May 24, 2021 at 11:49 AM Erik Aronesty <e...@q32.com> wrote:
>>
>> > > your burn investment is always "at stake", any redaction can result in a 
>> > > loss-of-burn, because burns can be tied, precisely, to block-heights
>> > I'm fuzzy on how proof of burn works.
>>
>> when you burn coins, you burn them to be used at a future particular
>> block height: so if i'm burning for block 553, i can only use them to
>> mine block 553.   if i have a choice between two chains, one longer
>> and one shorter, i can only choose one... deterministically, for that
>> burn: the chain with the height 553.   if we fix the "lead time" for
>> burned coins to be weeks or even months in advance, miners have a very
>> strong, long-term, investment in the stability of the chain.
>>
>> therefore there is no "nothing at stake" problem.   it's
>> deterministic, so miners have no choice.  they can *only* choose the
>> transactions that go into the block.  they cannot choose which chain
>> to mine, and it's time-locked, so rollbacks and instability always
>> hurt miners the most.
>>
>> the "punishment" systems of PoS are "weird at best", certainly
>> unproven.   i can imagine scenarios where large stakeholders can
>> collude to punish smaller stakeholders simply to drive them out of
>> business, for example.   and then you have to put checks in place to
>> prevent that, and more checks for those prevention system...
>>
>> in PoB, there is no complexity.  simpler systems like this are
>> typically more secure.
>>
>> PoB also solves problems caused by "energy dependence", which could
>> lead to state monopolies on mining (like the new Bitcoin Mining
>> Council).   these consortiums, if state sanctioned, could become a
>> source of censorship, for example.   Since PoB doesn't require you to
>> have a live, well-connected node, it's harder to censor & harder to
>> trace.
>>
>> Eliminating this weakness seems to be in the best interests of
>> existing stakeholders
>>
>>
>>
>>
>> On Mon, May 24, 2021 at 4:44 PM Billy Tetrud <billy.tet...@gmail.com> wrote:
>> >
>> > >  proof of burn clearly solves this, since nothing is held online
>> >
>> > Well.. the coins to be burned need to be online when they're burned. But 
>> > yes, only a small fraction of the total coins need to be online.
>> >
>> > > your burn investment is always "at stake", any redaction can result in a 
>> > > loss-of-burn, because burns can be tied, precisely, to block-heights
>> >
>> > So you're saying that if say someone tries to mine a block on a shorter 
>> > chain, that requires them to send a transaction burning their coins, and 
>> > that transaction could also be spent on the longest chain, which means 
>> > their coins are burned even if the chain they tried to mine on doesn't 
>> > win? I'm fuzzy on how proof of burn works.
>> >
>> > > proof of burn can be more secure than proof-of-stake
>> >
>> > FYI, proof of stake can be done without the "nothing at stake" problem. 
>> > You can simply punish people who mint on shorter chains (by rewarding 
>> > people who publish proofs of this happening on the main chain). In 
>> > quorum-based PoS, you can punish people in the quorum that propose or sign 
>> > multiple blocks for the same height. The "nothing at stake" problem is a 
>> > solved problem at this point for PoS.
>> >
>> >
>> >
>> > On Mon, May 24, 2021 at 3:47 AM Erik Aronesty <e...@q32.com> wrote:
>> >>
>> >> > I don't see a way to get around the conflicting requirement that the 
>> >> > keys for large amounts of coins should be kept offline but those are 
>> >> > exactly the coins we need online to make the scheme secure.
>> >>
>> >> proof of burn clearly solves this, since nothing is held online
>> >>
>> >> >  how does proof of burn solve the "nothing at stake" problem in your 
>> >> > view?
>> >>
>> >> definition of nothing at stake: in the event of a fork, whether the
>> >> fork is accidental or a malicious, the optimal strategy for any miner
>> >> is to mine on every chain, so that the miner gets their reward no
>> >> matter which fork wins.   indeed in proof-of-stake, the proofs are
>> >> published on the very chains mines, so the incentive is magnified.
>> >>
>> >> in proof-of-burn, your burn investment is always "at stake", any
>> >> redaction can result in a loss-of-burn, because burns can be tied,
>> >> precisely, to block-heights
>> >>
>> >> as a result, miners no longer have an incentive to mine all chains
>> >>
>> >> in this way proof of burn can be more secure than proof-of-stake, and
>> >> even more secure than proof of work
>> >>
>> >>
>> >>
>> >>
>> >>
>> >>
>> >>
>> >> >
>> >>
>> >> On Sun, May 23, 2021 at 3:52 AM Lloyd Fournier via bitcoin-dev
>> >> <bitcoin-dev@lists.linuxfoundation.org> wrote:
>> >> >
>> >> > Hi Billy,
>> >> >
>> >> > I was going to write a post which started by dismissing many of the 
>> >> > weak arguments that are made against PoS made in this thread and 
>> >> > elsewhere.
>> >> > Although I don't agree with all your points you have done a decent job 
>> >> > here so I'll focus on the second part: why I think Proof-of-Stake is 
>> >> > inappropriate for a Bitcoin-like system.
>> >> >
>> >> > Proof of stake is not fit for purpose for a global settlement layer in 
>> >> > a pure digital asset (i.e. "digital gold") which is what Bitcoin is 
>> >> > trying to be.
>> >> > PoS necessarily gives responsibilities to the holders of coins that 
>> >> > they do not want and cannot handle.
>> >> > In Bitcoin, large unsophisticated coin holders can put their coins in 
>> >> > cold storage without a second thought given to the health of the 
>> >> > underlying ledger.
>> >> > As much as hardcore Bitcoiners try to convince them to run their own 
>> >> > node, most don't, and that's perfectly acceptable.
>> >> > At no point do their personal decisions affect the underlying consensus 
>> >> > -- it only affects their personal security assurance (not that of the 
>> >> > system itself).
>> >> > In PoS systems this clean separation of responsibilities does not exist.
>> >> >
>> >> > I think that the more rigorously studied PoS protocols will work fine 
>> >> > within the security claims made in their papers.
>> >> > People who believe that these protocols are destined for catastrophic 
>> >> > consensus failure are certainly in for a surprise.
>> >> > But the devil is in the detail.
>> >> > Let's look at what the implications of using the leading proof of stake 
>> >> > protocols would have on Bitcoin:
>> >> >
>> >> > ### Proof of SquareSpace (Cardano, Polkdadot)
>> >> >
>> >> > Cardano is a UTXO based PoS coin based on Ouroboros Praos[3] with an 
>> >> > inbuilt on-chain delegation system[5].
>> >> > In these protocols, coin holders who do not want to run their node with 
>> >> > their hot keys in it delegate it to a "Stake Pool".
>> >> > I call the resulting system Proof-of-SquareSpace since most will choose 
>> >> > a pool by looking around for one with a nice website and offering the 
>> >> > largest share of the block reward.
>> >> > On the surface this might sound no different than someone with an 
>> >> > mining rig shopping around for a good mining pool but there are crucial 
>> >> > differences:
>> >> >
>> >> > 1. The person making the decision is forced into it just because they 
>> >> > own the currency -- someone with a mining rig has purchased it with the 
>> >> > intent to make profit by participating in consensus.
>> >> >
>> >> > 2. When you join a mining pool your systems are very much still online. 
>> >> > You are just partaking in a pool to reduce your profit variance. You 
>> >> > still see every block that you help create and *you never help create a 
>> >> > block without seeing it first*.
>> >> >
>> >> > 3. If by SquareSpace sybil attack you gain a dishonest majority and 
>> >> > start censoring transactions how are the users meant to redelegate 
>> >> > their stake to honest pools?
>> >> > I guess they can just send a transaction delegating to another 
>> >> > pool...oh wait I guess that might be censored too! This seems really 
>> >> > really bad.
>> >> > In Bitcoin, miners can just join a different pool at a whim. There is 
>> >> > nothing the attacker can do to stop them. A temporary dishonest 
>> >> > majority heals relatively well.
>> >> >
>> >> > There is another severe disadvantage to this on-chain delegation 
>> >> > system: every UTXO must indicate which staking account this UTXO 
>> >> > belongs to so the appropriate share of block rewards can be transferred 
>> >> > there.
>> >> > Being able to associate every UTXO to an account ruins one of the main 
>> >> > privacy advantages of the UTXO model.
>> >> > It also grows the size of the blockchain significantly.
>> >> >
>> >> > ### "Pure" proof of stake (Algorand)
>> >> >
>> >> > Algorand's[4] approach is to only allow online stake to participate in 
>> >> > the protocol.
>> >> > Theoretically, This means that keys holding funds have to be online in 
>> >> > order for them to author blocks when they are chosen.
>> >> > Of course in reality no one wants to keep their coin holding keys 
>> >> > online so in Alogorand you can authorize a set of "participation 
>> >> > keys"[1] that will be used to create blocks on your coin holding key's 
>> >> > behalf.
>> >> > Hopefully you've spotted the problem.
>> >> > You can send your participation keys to any malicious party with a nice 
>> >> > website (see random example [2]) offering you a good return.
>> >> > Damn it's still Proof-of-SquareSpace!
>> >> > The minor advantage is that at least the participation keys expire 
>> >> > after a certain amount of time so eventually the SquareSpace attacker 
>> >> > will lose their hold on consensus.
>> >> > Importantly there is also less junk on the blockchain because the 
>> >> > participation keys are delegated off-chain and so are not making as 
>> >> > much of a mess.
>> >> >
>> >> > ### Conclusion
>> >> >
>> >> > I don't see a way to get around the conflicting requirement that the 
>> >> > keys for large amounts of coins should be kept offline but those are 
>> >> > exactly the coins we need online to make the scheme secure.
>> >> > If we allow delegation then we open up a new social attack surface and 
>> >> > it degenerates to Proof-of-SquareSpace.
>> >> >
>> >> > For a "digital gold" like system like Bitcoin we optimize for 
>> >> > simplicity and desperately want to avoid extraneous responsibilities 
>> >> > for the holder of the coin.
>> >> > After all, gold is an inert element on the periodic table that doesn't 
>> >> > confer responsibilities on the holder to maintain the quality of all 
>> >> > the other bars of gold out there.
>> >> > Bitcoin feels like this too and in many ways is more inert and 
>> >> > beautifully boring than gold.
>> >> > For Bitcoin to succeed I think we need to keep it that way and 
>> >> > Proof-of-Stake makes everything a bit too exciting.
>> >> >
>> >> > I suppose in the end the market will decide what is real digital gold 
>> >> > and whether these bad technical trade offs are worth being able to say 
>> >> > it uses less electricity. It goes without saying that making bad 
>> >> > technical decisions to appease the current political climate is an 
>> >> > anathema to Bitcoin.
>> >> >
>> >> > Would be interested to know if you or others think differently on these 
>> >> > points.
>> >> >
>> >> > [1]: 
>> >> > https://developer.algorand.org/docs/run-a-node/participate/generate_keys/
>> >> > [2]: https://staking.staked.us/algorand-staking
>> >> > [3]: https://eprint.iacr.org/2017/573.pdf
>> >> > [4]: 
>> >> > https://algorandcom.cdn.prismic.io/algorandcom%2Fece77f38-75b3-44de-bc7f-805f0e53a8d9_theoretical.pdf
>> >> > [5]: 
>> >> > https://hydra.iohk.io/build/790053/download/1/delegation_design_spec.pdf
>> >> >
>> >> > Cheers,
>> >> >
>> >> > LL
>> >> >
>> >> > On Fri, 21 May 2021 at 19:21, Billy Tetrud via bitcoin-dev 
>> >> > <bitcoin-dev@lists.linuxfoundation.org> wrote:
>> >> >>
>> >> >> I think there is a lot of misinformation and bias against Proof of 
>> >> >> Stake. Yes there have been lots of shady coins that use insecure PoS 
>> >> >> mechanisms. Yes there have been massive issues with distribution of 
>> >> >> PoS coins (of course there have also been massive issues with PoW 
>> >> >> coins as well). However, I want to remind everyone that there is a 
>> >> >> difference between "proved to be impossible" and "have not achieved 
>> >> >> recognized success yet". Most of the arguments levied against PoS are 
>> >> >> out of date or rely on unproven assumptions or extrapolation from the 
>> >> >> analysis of a particular PoS system. I certainly don't think we should 
>> >> >> experiment with bitcoin by switching to PoS, but from my research, it 
>> >> >> seems very likely that there is a proof of stake consensus protocol we 
>> >> >> could build that has substantially higher security (cost / capital 
>> >> >> required to execute an attack) while at the same time costing far less 
>> >> >> resources (which do translate to fees on the network) *without* 
>> >> >> compromising any of the critical security properties bitcoin relies 
>> >> >> on. I think the critical piece of this is the disagreements around 
>> >> >> hardcoded checkpoints, which is a critical piece solving attacks that 
>> >> >> could be levied on a PoS chain, and how that does (or doesn't) affect 
>> >> >> the security model.
>> >> >>
>> >> >> @Eric Your proof of stake fallacy seems to be saying that PoS is worse 
>> >> >> when a 51% attack happens. While I agree, I think that line of 
>> >> >> thinking omits important facts:
>> >> >> * The capital required to 51% attack a PoS chain can be made 
>> >> >> substantially greater than on a PoS chain.
>> >> >> * The capital the attacker stands to lose can be substantially greater 
>> >> >> as well if the attack is successful.
>> >> >> * The effectiveness of paying miners to raise the honest fraction of 
>> >> >> miners above 50% may be quite bad.
>> >> >> * Allowing a 51% attack is already unacceptable. It should be 
>> >> >> considered whether what happens in the case of a 51% may not be 
>> >> >> significantly different. The currency would likely be critically 
>> >> >> damaged in a 51% attack regardless of consensus mechanism.
>> >> >>
>> >> >> > Proof-of-stake tends towards oligopolistic control
>> >> >>
>> >> >> People repeat this often, but the facts support this. There is no 
>> >> >> centralization pressure in any proof of stake mechanism that I'm aware 
>> >> >> of. IE if you have 10 times as much coin that you use to mint blocks, 
>> >> >> you should expect to earn 10x as much minting revenue - not more than 
>> >> >> 10x. By contrast, proof of work does in fact have clear centralization 
>> >> >> pressure - this is not disputed. Our goal in relation to that is to 
>> >> >> ensure that the centralization pressure remains insignifiant. Proof of 
>> >> >> work also clearly has a lot more barriers to entry than any proof of 
>> >> >> stake system does. Both of these mean the tendency towards 
>> >> >> oligopolistic control is worse for PoW.
>> >> >>
>> >> >> > Energy usage, in-and-of-itself, is nothing to be ashamed of!!
>> >> >>
>> >> >> I certainly agree. Bitcoin's energy usage at the moment is I think 
>> >> >> quite warranted. However, the question is: can we do substantially 
>> >> >> better. I think if we can, we probably should... eventually.
>> >> >>
>> >> >> > Proof of Stake is only resilient to ⅓ of the network demonstrating a 
>> >> >> > Byzantine Fault, whilst Proof of Work is resilient up to the ½ 
>> >> >> > threshold
>> >> >>
>> >> >> I see no mention of this in the pos.pdf you linked to. I'm not aware 
>> >> >> of any proof that all PoS systems have a failure threshold of 1/3. I 
>> >> >> know that staking systems like Casper do in fact have that 1/3 
>> >> >> requirement. However there are PoS designs that should exceed that up 
>> >> >> to nearly 50% as far as I'm aware. Proof of work is not in fact 
>> >> >> resilient up to the 1/2 threshold in the way you would think. IE, if 
>> >> >> 100% of miners are currently honest and have a collective 100 
>> >> >> exahashes/s hashpower, an attacker does not need to obtain 100 
>> >> >> exahashes/s, but actually only needs to accumulate 50 exahashes/s. 
>> >> >> This is because as the attacker accumulates hashpower, it drives 
>> >> >> honest miners out of the market as the difficulty increases to beyond 
>> >> >> what is economically sustainable. Also, its been shown that the best 
>> >> >> proof of work can do is require an attacker to obtain 33% of the 
>> >> >> hashpower because of the selfish mining attack discussed in depth in 
>> >> >> this paper: https://arxiv.org/abs/1311.0243. Together, both of these 
>> >> >> things reduce PoW's security by a factor of about 83% (1 - 50%*33%).
>> >> >>
>> >> >>  > Proof of Stake requires other trade-offs which are incompatible 
>> >> >> with Bitcoin's objective (to be a trustless digital cash) — 
>> >> >> specifically the famous "security vs. liveness" guarantee
>> >> >>
>> >> >> Do you have a good source that talks about why you think proof of 
>> >> >> stake cannot be used for a trustless digital cash?
>> >> >>
>> >> >> > You cannot gain tokens without someone choosing to give up those 
>> >> >> > coins - a form of permission.
>> >> >>
>> >> >> This is not a practical constraint. Just like in mining, some nodes 
>> >> >> may reject you, but there will likely be more that will accept you, 
>> >> >> some sellers may reject you, but most would accept your money as 
>> >> >> payment for bitcoins. I don't think requiring the "permission" of one 
>> >> >> of millions of people in the market can be reasonably considered a 
>> >> >> "permissioned currency".
>> >> >>
>> >> >> > 2. Proof of stake must have a trusted means of timestamping to 
>> >> >> > regulate overproduction of blocks
>> >> >>
>> >> >> Both PoW and PoS could mine/mint blocks twice as fast if everyone 
>> >> >> agreed to double their clock speeds. Both systems rely on an honest 
>> >> >> majority sticking to standard time.
>> >> >>
>> >> >>
>> >> >> On Wed, May 19, 2021 at 5:32 AM Michael Dubrovsky via bitcoin-dev 
>> >> >> <bitcoin-dev@lists.linuxfoundation.org> wrote:
>> >> >>>
>> >> >>> Ah sorry, I didn't realize this was, in fact, a different thread! :)
>> >> >>>
>> >> >>> On Wed, May 19, 2021 at 10:07 AM Michael Dubrovsky <m...@powx.org> 
>> >> >>> wrote:
>> >> >>>>
>> >> >>>> Folks, I suggest we keep the discussion to PoW, oPoW, and the BIP 
>> >> >>>> itself. PoS, VDFs, and so on are interesting but I guess there are 
>> >> >>>> other threads going on these topics already where they would be 
>> >> >>>> relevant.
>> >> >>>>
>> >> >>>> Also, it's important to distinguish between oPoW and these other 
>> >> >>>> "alternatives" to Hashcash. oPoW is a true Proof of Work that 
>> >> >>>> doesn't alter the core game theory or security assumptions of 
>> >> >>>> Hashcash and actually contains SHA (can be SHA3, SHA256, etc hash is 
>> >> >>>> interchangeable).
>> >> >>>>
>> >> >>>> Cheers,
>> >> >>>> Mike
>> >> >>>>
>> >> >>>> On Tue, May 18, 2021 at 4:55 PM Erik Aronesty via bitcoin-dev 
>> >> >>>> <bitcoin-dev@lists.linuxfoundation.org> wrote:
>> >> >>>>>
>> >> >>>>> 1. i never suggested vdf's to replace pow.
>> >> >>>>>
>> >> >>>>> 2. my suggestion was specifically *in the context of* a working
>> >> >>>>> proof-of-burn protocol
>> >> >>>>>
>> >> >>>>> - vdfs used only for timing (not block height)
>> >> >>>>> - blind-burned coins of a specific age used to replace proof of work
>> >> >>>>> - the required "work" per block would simply be a competition to
>> >> >>>>> acquire rewards, and so miners would have to burn coins, well in
>> >> >>>>> advance, and hope that their burned coins got rewarded in some far
>> >> >>>>> future
>> >> >>>>> - the point of burned coins is to mimic, in every meaningful way, 
>> >> >>>>> the
>> >> >>>>> value gained from proof of work... without some of the security
>> >> >>>>> drawbacks
>> >> >>>>> - the miner risks losing all of his burned coins (like all miners 
>> >> >>>>> risk
>> >> >>>>> losing their work in each block)
>> >> >>>>> - new burns can't be used
>> >> >>>>> - old burns age out (like ASICs do)
>> >> >>>>> - other requirements on burns might be needed to properly mirror the
>> >> >>>>> properties of PoW and the incentives Bitcoin uses to mine honestly.
>> >> >>>>>
>> >> >>>>> 3. i do believe it is *possible* that a "burned coin + vdf system"
>> >> >>>>> might be more secure in the long run, and that if the entire space
>> >> >>>>> agreed that such an endeavor was worthwhile, a test net could be 
>> >> >>>>> spun
>> >> >>>>> up, and a hard-fork could be initiated.
>> >> >>>>>
>> >> >>>>> 4. i would never suggest such a thing unless i believed it was
>> >> >>>>> possible that consensus was possible.  so no, this is not an "alt
>> >> >>>>> coin"
>> >> >>>>>
>> >> >>>>> On Tue, May 18, 2021 at 10:02 AM Zac Greenwood <zach...@gmail.com> 
>> >> >>>>> wrote:
>> >> >>>>> >
>> >> >>>>> > Hi ZmnSCPxj,
>> >> >>>>> >
>> >> >>>>> > Please note that I am not suggesting VDFs as a means to save 
>> >> >>>>> > energy, but solely as a means to make the time between blocks 
>> >> >>>>> > more constant.
>> >> >>>>> >
>> >> >>>>> > Zac
>> >> >>>>> >
>> >> >>>>> >
>> >> >>>>> > On Tue, 18 May 2021 at 12:42, ZmnSCPxj <zmnsc...@protonmail.com> 
>> >> >>>>> > wrote:
>> >> >>>>> >>
>> >> >>>>> >> Good morning Zac,
>> >> >>>>> >>
>> >> >>>>> >> > VDFs might enable more constant block times, for instance by 
>> >> >>>>> >> > having a two-step PoW:
>> >> >>>>> >> >
>> >> >>>>> >> > 1. Use a VDF that takes say 9 minutes to resolve (VDF being 
>> >> >>>>> >> > subject to difficulty adjustments similar to the as-is). As 
>> >> >>>>> >> > per the property of VDFs, miners are able show proof of work.
>> >> >>>>> >> >
>> >> >>>>> >> > 2. Use current PoW mechanism with lower difficulty so finding 
>> >> >>>>> >> > a block takes 1 minute on average, again subject to as-is 
>> >> >>>>> >> > difficulty adjustments.
>> >> >>>>> >> >
>> >> >>>>> >> > As a result, variation in block times will be greatly reduced.
>> >> >>>>> >>
>> >> >>>>> >> As I understand it, another weakness of VDFs is that they are 
>> >> >>>>> >> not inherently progress-free (their sequential nature prevents 
>> >> >>>>> >> that; they are inherently progress-requiring).
>> >> >>>>> >>
>> >> >>>>> >> Thus, a miner which focuses on improving the amount of energy 
>> >> >>>>> >> that it can pump into the VDF circuitry (by overclocking and 
>> >> >>>>> >> freezing the circuitry), could potentially get into a 
>> >> >>>>> >> winner-takes-all situation, possibly leading to even *worse* 
>> >> >>>>> >> competition and even *more* energy consumption.
>> >> >>>>> >> After all, if you can start mining 0.1s faster than the 
>> >> >>>>> >> competition, that is a 0.1s advantage where *only you* can mine 
>> >> >>>>> >> *in the entire world*.
>> >> >>>>> >>
>> >> >>>>> >> Regards,
>> >> >>>>> >> ZmnSCPxj
>> >> >>>>> _______________________________________________
>> >> >>>>> bitcoin-dev mailing list
>> >> >>>>> bitcoin-dev@lists.linuxfoundation.org
>> >> >>>>> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>> >> >>>>
>> >> >>>>
>> >> >>>>
>> >> >>>> --
>> >> >>>> Michael Dubrovsky
>> >> >>>> Founder; PoWx
>> >> >>>> www.PoWx.org
>> >> >>>
>> >> >>>
>> >> >>>
>> >> >>> --
>> >> >>> Michael Dubrovsky
>> >> >>> Founder; PoWx
>> >> >>> www.PoWx.org
>> >> >>> _______________________________________________
>> >> >>> bitcoin-dev mailing list
>> >> >>> bitcoin-dev@lists.linuxfoundation.org
>> >> >>> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>> >> >>
>> >> >> _______________________________________________
>> >> >> bitcoin-dev mailing list
>> >> >> bitcoin-dev@lists.linuxfoundation.org
>> >> >> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>> >> >
>> >> > _______________________________________________
>> >> > bitcoin-dev mailing list
>> >> > bitcoin-dev@lists.linuxfoundation.org
>> >> > https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
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