LearnBitcoin

Bitcoin Dev Archive 2015

"network disruption as a service" and proof of local storage

2 messages, 23 to 28 Mar 2015. Started by Thy Shizzle.

Thy Shizzle (2)

Permalink Original thread on gnusha.org

Thy Shizzle permalink original

Wow, that's quite impressive. But what comes to my mind is if such an extravagant solution really need to be implemented regarding proof of storage? I mean, my idea whilst building my node was to do something along the lines of "tell me what you got" i.e get block height from the version message, and then fire off your getblock, getdata etc and simply if a node does not respond with the requested data after a few attempts, we disconnect and perhaps blacklist until the node restarts or something. I am of course purely looking at it from the perspective of useless nodes consuming connection slots, there may be other scenarios where you require proof of storage that I am not considering. I just think that simple blacklist rules could easily avoid this without the extra resource usage? I mean if you start doing encryption for every task then before you know it you need to dedicate all your cpu to the node! Especially for tasks that are not mission critical or require verification, I mean useless nodes are more of an annoyance with the potential to disrupt the network, slow it down, but not compromise it, so I shouldn't think it would be something that you would turn to encryption for right? I feel this anyway. ________________________________ From: Sergio Lerner<mailto:sergiolerner@certimix.com> Sent: ‎17/‎03/‎2015 3:45 AM To: bitcoin-development@lists•sourceforge•net<mailto:bitcoin-development@lists.sourceforge.net> Subject: [Bitcoin-development] "network disruption as a service" and proof of local storage

The problem of pseudo-nodes will come over and over. The cat and mouse chase is just beginning. It has been discussed some times that the easiest solution world be to request some kind of resource consumption on each peer to be allowed to connect to other peers. Gmaxwell proposed Proof of Storage here: https://bitcointalk.org/index.php?topic=310323.msg3332919#msg3332919

I proposed a (what I think) is better protocol for Proof of Storage that I call "Proof of Local storage" here https://bitslog.wordpress.com/2014/11/03/proof-of-local-blockchain-storage/ . It's better because it does not need the storage of additional data, but more importantly, it allows you to prove full copy of the blockchain is being maintained by the peer. This is specially important now that Bitnodes is trying a full-node incentive program that may be easily cheated (http://qntra.net/2015/02/pseudonode-proxy-fools-bitcoin-full-node-incentive-program/)

Proof of local storage allows a node to prove another peer that he is storing a LOCAL copy of a PUBLIC file, such as the blockchain. So the peer need not waste more resources (well, just some resources to encode/decode the block-chain). The main idea is to use what I called asymmetric-time-encoding. Basically you encode the block-chain in a way that it takes 100 more times to write it than to read it. Since the block-chain is an append-only (write-only) file, this fit good for our needs. For instance (and as a simplification), choosing a global 1024-bit prime, then splitting the block-chain in 1024-bit blocks, and encrypting each block using Polihg-Hellman (modexp) with decryption exponent 3. Then encryption is at least 100 times slower than decryption. Before PH encryption each node must xor each block with a pseudo-random mask derived from the public IP and the block index. So block encryption could be: BlockEncryptIndex(i) = E(IP+i,block(i))^inv(3) (mod p),

where inv(3) is 3^-1 mod (p-1). E() could be a fast tweaked encryption routine (tweak = index), but we only need the PRNG properties of E() and that E() does share algebraic properties with P.H..

Two protocols can be performed to prove local possession: 1. (prover and verifier pay a small cost) The verifier sends a seed to derive some n random indexes, and the prover must respond with the hash of the decrypted blocks within a certain time bound. Suppose that decryption of n blocks take 100 msec (+-100 msec of network jitter). Then an attacker must have a computer 50 faster to be able to consistently cheat. The last 50 blocks should not be part of the list to allow nodes to catch-up and encrypt the blocks in background.

2. (prover pay a high cost, verified pays negligible cost). The verifier chooses a seed n, and then pre-computes the encrypted blocks derived from the seed using the prover's IP. Then the verifier sends the seed, and the prover must respond with the hash of the encrypted blocks within a certain time bound. The proved does not require to do any PH decryption, just take the encrypted blocks for indexes derived from the seed, hash them and send the hash back to the verifier. The verifier validates the time bound and the hash.

Both protocols can me made available by the client, under different states. For instance, new nodes are only allowed to request protocol 2 (and so they get an initial assurance their are connecting to full-nodes). After a first-time mutual authentication, they are allowed to periodically perform protocol 1. Also new nodes may be allowed to perform protocol 1 with a small index set, and increase the index set over time, to get higher confidence.

The important difference between this protocol and classical remote software attestation protocols, is that the time gap between a good peer and a malicious peer can be made arbitrarily high, picking a larger p. Maybe there is even another crypto primitive which is more asymmetric than exponent 3 decryption (the LUC or NTRU cryptosystem?).

In GMaxwell proposal each peer builds a table for each other peer. In my proposal, each peer builds a single table (the encrypted blockchain), so it could be still possible to establish a thousands of connections to the network from a single peer. Nevertheless, the attacker's IP will be easily detected (he cannot hide under a thousands different IPs). It's also possible to restrict the challenge-response to a portion of the block-chain, the portion offset being derived from the hash of both IP addresses and one random numbers provided by each peer. Suppose each connection has a C-R space equivalent to 1% of the block-chain. Then having 100 connections and responding to C-R on each connection means storing approximate 1 copy of the block-chain (there may be overlaps, which would need to be stored twice) , while having 1K connections would require storing 10 copies of the blockchain.

Best regards, Sergio

Thy Shizzle in reply to Thy Shizzle permalink original

If the IP discovery is your main motivation, why don't you introduce some onion routing into transactions? That would solve this problem easily, of course there is an overhead which will slightly slow down the relay of transactions but not significantly, also make it an option not enforced, for those worried about IP association. ________________________________ From: Robert McKay<mailto:robert@mckay.com> Sent: ‎28/‎03/‎2015 2:33 AM To: Matt Whitlock<mailto:bip@mattwhitlock.name> Cc: bitcoin-development@lists•sourceforge•net<mailto:bitcoin-development@lists.sourceforge.net> Subject: Re: [Bitcoin-development] "network disruption as a service" and proof of local storage

The main motivation is to try and stop a single entity running lots of nodes in order to harvest transaction origin IPs. That's what's behind this.

Probably the efforts are a waste of time.. if someone has to keep a few hundred copies of the blockchain around in order to keep IP specific precomputed data around for all the IPs they listen on then they'll just buy a handful of 5TB HDs and call it a day.. still some of the ideas proposed are quite interesting and might not have much downside.

Rob

On 2015-03-27 15:16, Matt Whitlock wrote:

Quoted text (232 lines)
> I agree that someone could do this, but why is that a problem? Isn't
> the goal of this exercise to ensure more full nodes on the network?
> In
> order to be able to answer the challenges, an entity would need to be
> running a full node somewhere. Thus, they have contributed at least
> one additional full node to the network. I could certainly see a case
> for a company to host hundreds of lightweight (e.g., EC2) servers all
> backed by a single copy of the block chain. Why force every single
> machine to have its own copy? All you really need to require is that
> each agency/participant have its own copy.
>
>
> On Friday, 27 March 2015, at 2:32 pm, Robert McKay wrote:
>> Basically the problem with that is that someone could setup a single
>> full node that has the blockchain and can answer those challenges
>> and
>> then a bunch of other non-full nodes that just proxy any such
>> challenges
>> to the single full node.
>>
>> Rob
>>
>> On 2015-03-26 23:04, Matt Whitlock wrote:
>> > Maybe I'm overlooking something, but I've been watching this
>> thread
>> > with increasing skepticism at the complexity of the offered
>> solution.
>> > I don't understand why it needs to be so complex. I'd like to
>> offer
>> > an
>> > alternative for your consideration...
>> >
>> > Challenge:
>> > "Send me: SHA256(SHA256(concatenation of N pseudo-randomly
>> selected
>> > bytes from the block chain))."
>> >
>> > Choose N such that it would be infeasible for the responding node
>> to
>> > fetch all of the needed blocks in a short amount of time. In other
>> > words, assume that a node can seek to a given byte in a block
>> stored
>> > on local disk much faster than it can download the entire block
>> from
>> > a
>> > remote peer. This is almost certainly a safe assumption.
>> >
>> > For example, choose N = 1024. Then the proving node needs to
>> perform
>> > 1024 random reads from local disk. On spinning media, this is
>> likely
>> > to take somewhere on the order of 15 seconds. Assuming blocks are
>> > averaging 500 KiB each, then 1024 blocks would comprise 500 MiB of
>> > data. Can 500 MiB be downloaded in 15 seconds? This data transfer
>> > rate
>> > is 280 Mbps. Almost certainly not possible. And if it is, just
>> > increase N. The challenge also becomes more difficult as average
>> > block
>> > size increases.
>> >
>> > This challenge-response protocol relies on the lack of a "partial
>> > getdata" command in the Bitcoin protocol: a node cannot ask for
>> only
>> > part of a block; it must ask for an entire block. Furthermore,
>> nodes
>> > could ban other nodes for making too many random requests for
>> blocks.
>> >
>> >
>> > On Thursday, 26 March 2015, at 7:09 pm, Sergio Lerner wrote:
>> >>
>> >> > If I understand correctly, transforming raw blocks to keyed
>> blocks
>> >> > takes 512x longer than transforming keyed blocks back to raw.
>> The
>> >> key
>> >> > is public, like the IP, or some other value which perhaps
>> changes
>> >> less
>> >> > frequently.
>> >> >
>> >> Yes. I was thinking that the IP could be part of a first layer of
>> >> encryption done to the blockchain data prior to the asymetric
>> >> operation.
>> >> That way the asymmetric operation can be the same for all users
>> (no
>> >> different primers for different IPs, and then the verifiers does
>> not
>> >> have to verify that a particular p is actually a pseudo-prime
>> >> suitable
>> >> for P.H. ) and the public exponent can be just 3.
>> >>
>> >> >
>> >> >> Two protocols can be performed to prove local possession:
>> >> >> 1. (prover and verifier pay a small cost) The verifier sends a
>> >> seed to
>> >> >> derive some n random indexes, and the prover must respond with
>> >> the hash
>> >> >> of the decrypted blocks within a certain time bound. Suppose
>> that
>> >> >> decryption of n blocks take 100 msec (+-100 msec of network
>> >> jitter).
>> >> >> Then an attacker must have a computer 50 faster to be able to
>> >> >> consistently cheat. The last 50 blocks should not be part of
>> the
>> >> list to
>> >> >> allow nodes to catch-up and encrypt the blocks in background.
>> >> >>
>> >> >
>> >> > Can you clarify, the prover is hashing random blocks of
>> >> *decrypted*,
>> >> > as-in raw, blockchain data? What does this prove other than,
>> >> perhaps,
>> >> > fast random IO of the blockchain? (which is useful in its own
>> >> right,
>> >> > e.g. as a way to ensure only full-node IO-bound mining if baked
>> >> into
>> >> > the PoW)
>> >> >
>> >> > How is the verifier validating the response without possession
>> of
>> >> the
>> >> > full blockchain?
>> >>
>> >> You're right, It is incorrect. Not the decrypted blocks must be
>> >> sent,
>> >> but the encrypted blocks. There correct protocol is this:
>> >>
>> >> 1. (prover and verifier pay a small cost) The verifier sends a
>> seed
>> >> to
>> >> derive some n random indexes, and the prover must respond with
>> the
>> >> the
>> >> encrypted blocks within a certain time bound. The verifier
>> decrypts
>> >> those blocks to check if they are part of the block-chain.
>> >>
>> >> But then there is this improvement which allows the verifier do
>> >> detect
>> >> non full-nodes with much less computation:
>> >>
>> >> 3. (prover pays a small cost, verifier smaller cost) The verifier
>> >> asks
>> >> the prover to send a Merkle tree root of hashes of encrypted
>> blocks
>> >> with
>> >> N indexes selected by a psudo-random function seeded by a
>> challenge
>> >> value, where each encrypted-block is previously prefixed with the
>> >> seed
>> >> before being hashed (e.g. N=100). The verifier receives the
>> Markle
>> >> Root
>> >> and performs a statistical test on the received information. From
>> >> the N
>> >> hashes blocks, it chooses M < N (e.g. M = 20), and asks the
>> proved
>> >> for
>> >> the blocks at these indexes. The prover sends the blocks, the
>> >> verifier
>> >> validates the blocks by decrypting them and also verifies that
>> the
>> >> Merkle tree was well constructed for those block nodes. This
>> proves
>> >> with
>> >> high probability that the Merkle tree was built on-the-fly and
>> >> specifically for this challenge-response protocol.
>> >>
>> >> > I also wonder about the effect of spinning disk versus SSD.
>> Seek
>> >> time
>> >> > for 1,000 random reads is either nearly zero or dominating
>> >> depending
>> >> > on the two modes. I wonder if a sequential read from a random
>> >> index is
>> >> > a possible trade-off,; it doesn't prove possession of the whole
>> >> chain
>> >> > nearly as well, but at least iowait converges significantly.
>> Then
>> >> > again, that presupposes a specific ordering on disk which might
>> >> not
>> >> > exist. In X years it will all be solid-state, so eventually
>> it's
>> >> moot.
>> >> >
>> >> Good idea.
>> >>
>> >> Also we don't need that every node implements the protocol, but
>> only
>> >> nodes that want to prove full-node-ness, such as the ones which
>> want
>> >> to
>> >> receive bitnodes subsidy.
>> >
>> >
>> >
>> >
>> ------------------------------------------------------------------------------
>> > Dive into the World of Parallel Programming The Go Parallel
>> Website,
>> > sponsored
>> > by Intel and developed in partnership with Slashdot Media, is your
>> > hub for all
>> > things parallel software development, from weekly thought
>> leadership
>> > blogs to
>> > news, videos, case studies, tutorials and more. Take a look and
>> join
>> > the
>> > conversation now. http://goparallel.sourceforge.net/
>> > _______________________________________________
>> > Bitcoin-development mailing list
>> > Bitcoin-development@lists•sourceforge•net
>> > https://lists.sourceforge.net/lists/listinfo/bitcoin-development
>>
>>
>>
>> ------------------------------------------------------------------------------
>> Dive into the World of Parallel Programming The Go Parallel Website,
>> sponsored
>> by Intel and developed in partnership with Slashdot Media, is your
>> hub for all
>> things parallel software development, from weekly thought leadership
>> blogs to
>> news, videos, case studies, tutorials and more. Take a look and join
>> the
>> conversation now. http://goparallel.sourceforge.net/
>> _______________________________________________
>> Bitcoin-development mailing list
>> Bitcoin-development@lists•sourceforge•net
>> https://lists.sourceforge.net/lists/listinfo/bitcoin-development