12016-07-10T00:00:31 <petertodd> I could make use of a breakdown by age fwiw
22016-07-10T00:01:36 <sipa> yeah, i'll create such a graph too
32016-07-10T00:01:44 <sipa> should be easier as it doesn't require reindexing
42016-07-10T00:01:52 <gmaxwell> I'm thinking it would be interesting to solve the following optimization problem: given a set of utxo size, birth/death times, value. Find the coefficients of multinomial a f(value,size,age_in_blocks) such that a fixed cache of size N with retention sorted by f() has the highest hitrate (item still in cache at utxo death).
52016-07-10T00:02:21 <petertodd> sipa: thanks!
62016-07-10T00:03:34 <petertodd> gmaxwell: though note that you probably can't bake something like that into a consensus thing like txo commitments w/ utxo cache, as it changes peoples' behavior...
72016-07-10T00:03:49 <petertodd> gmaxwell: potentially still useful for local optimisation though
82016-07-10T00:08:41 <gmaxwell> petertodd: well you can to some extent, for example, having a different cache policy at some threshold, like 1BTC... 21 million txo is the absolute maximum number of outputs at 1BTC+ so there is a pretty strong upper bound on whatever impact you could have on encouraging people to make utxo at or over 1 BTC. :)
92016-07-10T00:10:22 <petertodd> gmaxwell: I mean, if you take the coefficients from prior data, they're likely to be wrong after people change their behavior - if you use coefficients, you need to have a different rational is all I'm saying
102016-07-10T00:10:49 <petertodd> gmaxwell: keeping higher value UTXO's in cache longer probably does make sense
112016-07-10T00:11:44 <gmaxwell> yea sure.. the full answer isn't probably that useful as a consensus rule
122016-07-10T00:11:48 *** johhnyfive has joined #bitcoin-core-dev
132016-07-10T00:11:55 <gmaxwell> The part of the answer that tells you some value breakpoint(s) may be.
142016-07-10T00:12:38 <gmaxwell> because even if they're slightly wrong due to changing usage which they themselves incentivize, the whole prospect of having value relative retention is reasonable.
152016-07-10T00:13:35 <gmaxwell> e.g. if age * value is a good scoring function on the past data, it probably is a robust one, which could be prudently used in consensus.
162016-07-10T00:14:52 <petertodd> yup
172016-07-10T00:15:05 <gmaxwell> or some polynomial on age * value. Or really I think any degree multinomial on age and value is probably also okay. Only size is one that is probably busted. :)
182016-07-10T00:15:49 <petertodd> gmaxwell: speaking of, what approaches are good for writing polynomials in consensus critical code? (I wonder if someone has a writeup on that)
192016-07-10T00:17:03 *** spudowiar has joined #bitcoin-core-dev
202016-07-10T00:20:56 *** Chris_Stewart_5 has quit IRC
212016-07-10T00:25:55 <gmaxwell> So-- if possible, probably best by converting it to a simple segmented linear approximation. But failing that, I would assume fixed point with horner's method (see wikipedia) which is more computationally efficient and has better numerical properties than the naieve way you'd compute it.
222016-07-10T00:27:01 <gmaxwell> this is where you write is as a c0 + x * (c1 + x * (c2 + x *....
232016-07-10T00:28:37 <gmaxwell> petertodd: there are all sorts of 'consensus critical' polynomials in opus (ones where a discrepency in the integer value returned causes a total entropy decoding failure)-- they never were a big issue, they're written like that, and we tested them exhaustively. no biggie.
242016-07-10T00:31:30 <petertodd> gmaxwell: cool, thanks. re: exhaustively, I assume that's 16bit ints at most?
252016-07-10T00:31:53 <gmaxwell> no, 32 bits.
262016-07-10T00:32:19 <petertodd> gmaxwell: huh, how does that work?
272016-07-10T00:32:20 <gmaxwell> for some function thats just doing some multiplies and adds, trying all 32 bit inputs isn't a big deal.
282016-07-10T00:32:31 <petertodd> gmaxwell: wait, as in 2^64?
292016-07-10T00:33:00 <sipa> i assume it's a function with 1 input :)
302016-07-10T00:33:05 <kanzure> https://github.com/xiph/opus/blob/58dbcf23f3aecfb9c06abaef590d01bb3dba7a5a/celt/cwrs.c#L164
312016-07-10T00:33:35 <gmaxwell> no, as in computing f(x) where x is some 32 bit value and x is a single variable polynomial in x. :)
322016-07-10T00:34:13 <petertodd> gmaxwell: yeah, that makes a lot more sense :)
332016-07-10T00:34:50 <petertodd> gmaxwell: I'm writing a spec for dex, and it's interesting how you can make an argument for only supporting 16-bit ints natively, as you can exhaustively test them
342016-07-10T00:34:58 <gmaxwell> yes, indeed that is a bit normative polynomial, though I think the current CWRS code there mostly uses tables.
352016-07-10T00:36:18 <gmaxwell> petertodd: thats something you could argue, though it would have to be weighed against footgun and bloat risks.
362016-07-10T00:36:45 *** Chris_Stewart_5 has joined #bitcoin-core-dev
372016-07-10T00:36:47 <gmaxwell> (though I suppose I could make a anti-footgun argument-- the user is much more likely to _know_ the range of the type is limited, when it's so limited they are constantly forced to deal with it)
382016-07-10T00:37:22 <gmaxwell> over and underflow can be defined as script failure.
392016-07-10T00:37:23 <petertodd> gmaxwell: yeah, it'd only be practical if you can write reasonably efficient n-bit add/multiply/etc. routines, and make them part of the built-in library
402016-07-10T00:38:04 <petertodd> gmaxwell: yes, I'm planning on under/overflow to be a failure condition (probably with wrapping and/or overflow variants)
412016-07-10T00:38:08 <gmaxwell> petertodd: also a commonly interesting case is things like where one input has small range, and that doesn't really impede exaustive testing.
422016-07-10T00:38:50 <gmaxwell> e.g. U32 * U8. It's really common in software to take arbritary numbers and multiply or divide them by small constants.
432016-07-10T00:38:52 <petertodd> gmaxwell: so, what I noted in my draft spec doc, is that interestingly economicly relevant numbers often have quite large ranges: e.g. coin value
442016-07-10T00:39:09 <gmaxwell> like computing 2/3 of a coin value.
452016-07-10T00:39:31 <petertodd> gmaxwell: though, consensus critical economic use-cases just need summation, not multiplication/division (usually)
462016-07-10T00:40:07 <sipa> petertodd: but but demurrage
472016-07-10T00:40:17 <gmaxwell> for example, you may want to compute input * 2/3, and input - input * 2/3.
482016-07-10T00:40:29 <gmaxwell> for value splits in a contract.
492016-07-10T00:40:33 <gmaxwell> and input is 64 bits.
502016-07-10T00:41:47 <petertodd> sipa: ok, austrian economics... :P
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522016-07-10T00:42:37 <petertodd> gmaxwell: well, once you talk about contracts more genreally, you get interest calculations, which gets very complex...
532016-07-10T00:43:03 <gmaxwell> polynomial approximations of interest calculations generally work fine over limited ranges.
542016-07-10T00:43:04 <petertodd> gmaxwell: but I'm assuming sane contracts would generally only need a few calculations along those lines, so slower approaches should be ok
552016-07-10T00:43:50 <petertodd> yeah, polynomial approx being one approach
562016-07-10T00:44:49 <petertodd> in any case, it's looking like having reasonable type checking is a way harder and more complex problem :)
572016-07-10T00:45:17 <gmaxwell> one nice way for exponential functions is to use CLZ to get the integer part of a base 2 log, and then use a polynomial correction.
582016-07-10T00:45:29 <petertodd> gmaxwell: CLZ?
592016-07-10T00:45:34 <sipa> count leading zeroes
602016-07-10T00:45:38 <petertodd> sipa: ah!
612016-07-10T00:45:38 <sipa> __builtin_clz
622016-07-10T00:49:03 <gmaxwell> er actually its the log you want the clz for, for exp you just need to use the leading bits of the number.
632016-07-10T00:49:49 <gmaxwell> https://github.com/xiph/opus/blob/58dbcf23f3aecfb9c06abaef590d01bb3dba7a5a/celt/mathops.h#L184 is such an example. (of course to get to any other base for the exponential is just some scaling)
642016-07-10T00:50:24 *** belcher has quit IRC
652016-07-10T00:50:37 <petertodd> gmaxwell: a neat article to write would be numerical methods for consensus critical code :)
662016-07-10T00:51:10 <sipa> "Bounded memory, bounded CPU usage... and bounded errors"
672016-07-10T00:51:25 <gmaxwell> I think they mostly end up like numerical methods for fixed point realtime dsp.
682016-07-10T00:51:32 <petertodd> sipa: lol, did chris send you a copy of my spec? :P
692016-07-10T00:51:38 <sipa> no
702016-07-10T00:51:46 <sipa> well, maybe he did, but i did not look at it
712016-07-10T00:51:55 <petertodd> sipa: I mean, I have basically the exact same sentence in it - though no surprise, same problem :)
722016-07-10T00:52:05 <petertodd> gmaxwell: yeah, probably true
732016-07-10T00:52:12 <gmaxwell> with perhaps some additional considerations for exhaustive testing and/or formal verification.
742016-07-10T00:53:42 <gmaxwell> but yea, the other reason you exaustively test these approximations is to characterize the worst case error: https://github.com/xiph/opus/blob/58dbcf23f3aecfb9c06abaef590d01bb3dba7a5a/celt/mathops.c#L202
752016-07-10T00:54:30 <petertodd> bbl, need a bigger battery...
762016-07-10T00:55:41 <midnightmagic> i wonder how heavy that special 9-cell thinkpad thing is
772016-07-10T01:09:01 <petertodd> midnightmagic: doesn't help that mine is a few years old - batteries wearing out
782016-07-10T01:09:56 <sipa> petertodd: protip, when buying a new laptop, buy an extra battery that fits... once your battery wears out they'll be harder to find
792016-07-10T01:10:18 <petertodd> sipa: good advice - though I've never actualy bought a laptop new
802016-07-10T01:10:24 * midnightmagic has no user-replaceable battery in his mbp. :(
812016-07-10T01:10:31 <midnightmagic> petertodd: why not?
822016-07-10T01:10:51 <petertodd> midnightmagic: because I act like I'm a poor student :P
832016-07-10T01:12:17 <petertodd> midnightmagic: I have a t520 right now, which I think is about four years old
842016-07-10T01:18:24 <midnightmagic> Humility and reasonable resource management are virtues.
852016-07-10T01:20:02 <petertodd> midnightmagic: well, I was going through my corporate expenses the other day... and a new laptop would be a drop in the bucket compared to what gets spent on me travelling
862016-07-10T01:21:09 <midnightmagic> i hate travelling :( the world is made for people much, much smaller than I am.
872016-07-10T01:22:48 <petertodd> midnightmagic: I actually find I get more work done; I'm no tourist so when I'm in the middle of a foreign country I tend to find somewhere to sit down with my laptop :)
882016-07-10T01:25:02 <midnightmagic> i do too, all the stuff that is on the to-do list in my home can't be addressed so I can let it go
892016-07-10T01:25:46 *** Ylbam has quit IRC
902016-07-10T01:26:21 <petertodd> midnightmagic: yeah, and when I'm home, friends want to like, hang out with me and take up all my time :P
912016-07-10T01:30:56 <midnightmagic> psh. friends. so annoying.
922016-07-10T01:56:27 <petertodd> sure
932016-07-10T01:56:44 <petertodd> er, wrong window - stupid lag
942016-07-10T02:02:20 <sipa> haha
952016-07-10T02:12:44 <gmaxwell> sipa: lithion ion batteries of varrious type have a shelf life, sadly.
962016-07-10T02:12:49 <gmaxwell> The unused one will also fade.
972016-07-10T02:13:07 <gmaxwell> But fortunately if you buy something like a thinkpad, people make batteries for them forever.
982016-07-10T02:13:16 <gmaxwell> You can buy batteries for ten year old thinkpads no problem.
992016-07-10T02:20:40 <gmaxwell> petertodd: go stab the people your blog post has confused: https://www.reddit.com/r/Bitcoin/comments/4s3a9r/segwit_code_review_update/
1002016-07-10T02:41:06 <kanzure> consensus-related non-malleability vs wallet/p2p-level, is my guess.
1012016-07-10T02:42:42 <petertodd> kanzure: it's just a flaw in the way the mempool/p2p refers to segwit txs; has little if anything to do with consensus
1022016-07-10T02:46:06 *** molz has quit IRC
1032016-07-10T02:46:24 <petertodd> kanzure: tl;dr: is that the p2p asks for txs by txid, which doesn't commit to the witness, and marks invalid txs by txid, without being able to consistently know if a tx was invalid due to a bad witness
1042016-07-10T02:46:37 <petertodd> equaly, s/invalid/unacceptable due to fee, size, whatever/
1052016-07-10T02:46:54 <sipa> i actually don't think the flaw is referring by txid instead of wtxid
1062016-07-10T02:47:00 <petertodd> sipa: how so?
1072016-07-10T02:47:25 <sipa> but we should have made resource limits part of the base transaction, not the witness
1082016-07-10T02:47:28 <kanzure> yes i was wondering about things like "how to actually show a node that a certain tx is valid later, if at first it receives a bad witness" :\
1092016-07-10T02:47:45 *** moli has joined #bitcoin-core-dev
1102016-07-10T02:48:00 <petertodd> sipa: what do you mean by that?
1112016-07-10T02:48:02 <sipa> (fees, sigop count, byte sizes) go in scriptSig... or even better, in the inv
1122016-07-10T02:48:23 <sipa> so a node can decide to not process before you know... processing
1132016-07-10T02:48:49 <petertodd> sipa: duplicating that stuff has historically lead to endless problems, basically because you have to check it twice
1142016-07-10T02:49:18 <sipa> how do you mean?
1152016-07-10T02:49:29 <petertodd> sipa: in a decent system, processing even invalid txs is something that happens very quickly, so there's no DoS attack
1162016-07-10T02:49:50 <petertodd> sipa: notice how satoshi screwed up sigops from the beginning...
1172016-07-10T02:50:12 <sipa> unfortunately, fees and sigop counting require fetching the utxos
1182016-07-10T02:50:16 <petertodd> sipa: in any of these schemes, you still have to count up sigops as they're actually executed, to check that the sum matches (or is less than) the claimed sum
1192016-07-10T02:50:24 <sipa> of course
1202016-07-10T02:50:41 <petertodd> sipa: so? fetching utxos can't be expensive, or we've already lost
1212016-07-10T02:50:45 <sipa> but a mismatch can then actually result in a ban, because it cannot happen accidentally
1222016-07-10T02:51:27 <petertodd> sipa: if we used wtxids, you could still ban based on that
1232016-07-10T02:51:35 <sipa> but our rate limiting is based on feerate, which depends on fee, which we cannot enforce until we've done the effort
1242016-07-10T02:51:46 *** johhnyfive has quit IRC
1252016-07-10T02:52:03 <sipa> if there is no rate limit, even a cheap validation per transaction will be too much
1262016-07-10T02:52:07 *** gribble has quit IRC
1272016-07-10T02:52:32 <petertodd> sipa: huh? someone sends you a DoS tx, just ban them - there's no reason *legit* transactions should take significant cost to accept
1282016-07-10T02:54:02 <sipa> petertodd: so there is a trivial solution... fully validate every transaction you asked for
1292016-07-10T02:54:31 <sipa> so you don't prematurely discard a transaction before finding out it was an attempted attack
1302016-07-10T02:55:16 <sipa> it is too expensive, or invalid, or malleated... you can ban who sent it
1312016-07-10T02:55:38 <petertodd> sipa: I think you're missing my point: the threshold that we consider it an "attempted attack" should be low enough that there's no DoS issues; txs fundementally should never be expensive to validate, and cases where they are should be non-standard, and eventually, removed entirely from the protocol
1322016-07-10T02:56:11 <sipa> yes
1332016-07-10T02:56:13 <sipa> i agree
1342016-07-10T02:57:03 <sipa> but the issue here is that we fail to detect whether a too expensive transacrion is due to its creator or due to who relayed it
1352016-07-10T02:57:35 <petertodd> sipa: right, but wtxid solves that issue
1362016-07-10T02:58:07 <petertodd> if relayer malleates, we'll still ask for a different version of the same txid if another peer gives us it
1372016-07-10T02:58:10 <sipa> yes, it would... but it adds complications
1382016-07-10T02:58:20 <petertodd> how so?
1392016-07-10T02:58:32 <sipa> you need indexes by both txid and wtxid..
1402016-07-10T02:58:42 *** gribble has joined #bitcoin-core-dev
1412016-07-10T02:58:54 <sipa> and you always risk requesting things twice
1422016-07-10T02:58:55 <petertodd> sipa: in what, the mempool/p2p?
1432016-07-10T02:59:06 <petertodd> but they are different things!
1442016-07-10T02:59:28 <sipa> in my view they are the same thing
1452016-07-10T02:59:35 <sipa> one with an optional part omitted
1462016-07-10T02:59:47 <sipa> except we only find out too late that it was not optional
1472016-07-10T03:00:02 <petertodd> well, I don't agree at all - the optional part has a non-optinal effect on the tx
1482016-07-10T03:00:26 <sipa> for those who care (which a full node does)
1492016-07-10T03:00:48 <sipa> that's a semantic discussion, though
1502016-07-10T03:00:56 <sipa> i can see your point
1512016-07-10T03:00:56 <petertodd> I certainly care: my tx fees depend on the witness
1522016-07-10T03:01:04 *** frankenmint has joined #bitcoin-core-dev
1532016-07-10T03:01:28 <petertodd> I may also have a protocol where I'm publishing something in the witness, e.g. hashlock
1542016-07-10T03:01:45 <gmaxwell> Cleanstack means that ordinary transactions cannot have their fees increased without invalidating them. (If not for that I would have already recommended we have some preprocessing to strip transactions as they're relayed)
1552016-07-10T03:02:06 <sipa> i think the easiest solution is to validate scripts even for things we know we won't accept
1562016-07-10T03:02:15 <gmaxwell> You should probably assume that relaying nodes will perform witness stripping in the future.
1572016-07-10T03:02:22 <sipa> we have spent almost all the work anyway (fetched inputs, and wasted bandwidth)
1582016-07-10T03:02:34 <petertodd> gmaxwell: with currnet tx patterns yes; it's non-trivial to make txs with more complex scripts that have non-malleable witnesses
1592016-07-10T03:03:18 <gmaxwell> (by witness stripping I mean compacting the witness to the minimal data needed to be valid, as best it can determine)
1602016-07-10T03:03:23 <petertodd> sipa: as in, valiate scripts to determine if the witness is wrong?
1612016-07-10T03:03:30 <gmaxwell> Yes.
1622016-07-10T03:03:51 <gmaxwell> This was something I had been advocating for a while because there are some other potential DOS attacks that exist because we don't.
1632016-07-10T03:03:59 <gmaxwell> (a while = before segwit existed)
1642016-07-10T03:04:17 <petertodd> well, again, that assumes you know how to clean witnesses - there are tx patterns where that's not trivial (and indeed, the user may intentionally have more than one form of witness for the same txid)
1652016-07-10T03:04:20 <gmaxwell> though without an enforced feefilter its a bit less than ideal.
1662016-07-10T03:04:42 <gmaxwell> petertodd: sure any cleaning would always be a best effort attempt.
1672016-07-10T03:05:02 <petertodd> I'm still of the opinion that asking for a wtxid is a way simpler overall conceptual design (obvs implementation level may suck due to historical baggage)
1682016-07-10T03:05:14 <sipa> this is orthogonal to fetching by wtxid, of course
1692016-07-10T03:05:47 <petertodd> it's not orthogonal at all: if I manage to clean a script significantly, I want my peers to get it, and then say "hey, this is way smaller, lets replace it in our mempool..."
1702016-07-10T03:05:53 <gmaxwell> yea, I agree it's orthorgonal, fetching by wtxid has an amplification attack vector that is kind of sad.
1712016-07-10T03:06:11 <petertodd> gmaxwell: what's the vector?
1722016-07-10T03:06:42 <sipa> gmaxwell: presenting multiple versions of the same transaction with different witness?
1732016-07-10T03:06:56 <gmaxwell> The amplification attack vector is that I create grab transactions and relay witness malleations to every node in the network, different version to each node, so when I happen to get txn early every node ends up with a different txid and you get N^2 bandwidth forwarding it around.
1742016-07-10T03:07:09 <petertodd> gmaxwell: but you can do that anyway with your own txs
1752016-07-10T03:09:15 <sipa> you could of course create invs with both txids and wtxids
1762016-07-10T03:09:45 <petertodd> sipa: yeah, that'd be fine
1772016-07-10T03:09:55 <petertodd> sipa: and obviously, our peer can tell us it's segwit and wants us to do that
1782016-07-10T03:10:29 <sipa> except that also breaks your try to replace with smaller witness use case
1792016-07-10T03:10:58 <petertodd> sipa: why? once you go down that rabbit hole, you can also advertise length
1802016-07-10T03:11:18 <sipa> petertodd: yes, that was my suggestion in the beginning of the discussion :)
1812016-07-10T03:11:31 <sipa> advertize sigops/size/fees in the inv
1822016-07-10T03:11:51 <petertodd> sipa: no, you suggested having the tx _commit_ to that info, which is a very different thing; non-consensus critical code advertising length isn't a big deal
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1842016-07-10T03:12:01 <sipa> petertodd: reread my sentence
1852016-07-10T03:12:08 <petertodd> sipa: ah, ok, I have no issues with that
1862016-07-10T03:12:22 <petertodd> sipa: (I've been thinking about this exact kind of issue for my dex specification actually)
1872016-07-10T03:12:26 <sipa> "... or even better, in the inv$
1882016-07-10T03:12:59 <petertodd> sipa: yeah, for mempool I think invs advertising this stuff makes a lot of sense
1892016-07-10T03:13:18 <petertodd> for starters, if we screw that up, it's relatively easy to fix :)
1902016-07-10T03:13:18 <sipa> though i think it's not necessarily an urgent issue
1912016-07-10T03:14:00 <sipa> the worst case is that a bad peer can poison your reject cache, preventing you from getting a legitimate transaction before it confirms
1922016-07-10T03:14:00 <petertodd> so, is a reasonable game plan to releast segwit with the current p2p design, and then add wtixds to invs later? (potentially with sigops/size in the inv)
1932016-07-10T03:14:11 <petertodd> sipa: it's a good thing no-one relies on zeroconf anymore :P
1942016-07-10T03:14:23 <sipa> i'm sure there are other ways that you can accomplish that
1952016-07-10T03:14:26 *** gribble has quit IRC
1962016-07-10T03:14:33 <sipa> (like inving and not responding to getdata)
1972016-07-10T03:14:37 <gmaxwell> wrt different kinds of relaying later, mostly I thought those improvements would go into mempool sync.
1982016-07-10T03:15:35 <gmaxwell> and rather than wtxid relay, wtxid,feerate,txid tuples (probably truncated/quantized) may make more sense.
1992016-07-10T03:16:12 <sipa> yeah, for mempool sync we can redesign things cleanyl
2002016-07-10T03:16:27 <petertodd> gmaxwell: note too how schemes like txo commitments allow - and expect - nodes to do significant modifications to txs
2012016-07-10T03:16:30 <gmaxwell> (or even wtxid, feerate, vin id with lowest hash)
2022016-07-10T03:18:08 <gmaxwell> in any case, optimal sync behavior in the presence of double spends (of any kind) isn't a nut I've cracked yet.
2032016-07-10T03:18:10 <sipa> petertodd: yes, the priority should be to make sure no internal inconsistency or banning of unaware nodes occur
2042016-07-10T03:18:27 <gmaxwell> I think I have constructions for schemes which are close to optimal absent doublespends.
2052016-07-10T03:18:42 *** gribble has joined #bitcoin-core-dev
2062016-07-10T03:18:50 <gmaxwell> we already improved relay efficiency a LOT in 0.13, fwiw.
2072016-07-10T03:19:09 <sipa> petertodd: rejectioncache behaviour can either degenerate into attackers preventing you from receiving transactions on the one hand
2082016-07-10T03:19:50 <sipa> or to the old pre-rejectioncache bevahiour of requesting failed txn from every peer (which is made much less bad due to feefilter already)
2092016-07-10T03:21:34 <gmaxwell> there are already several trivially exploited ways where an attacker can massively delay you getting a transaction.
2102016-07-10T03:21:43 <petertodd> sipa: well, again, an attacker can do that DoS attack without segwit by just sending multiple slightly different versions of the same tx
2112016-07-10T03:22:19 <gmaxwell> (e.g. just inv the damn thing from many sockets and don't respond.
2122016-07-10T03:22:20 <gmaxwell> )
2132016-07-10T03:24:15 <sipa> yeah
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5342016-07-10T20:34:23 <oddishh> WOW! My bitcoin expander is now READY! Put some bitcoin in my wallet and I'll intantly expand it & send you more back. Totally vouched & legit. PM me to begin!
5352016-07-10T20:35:10 *** ChanServ sets mode: +o btcdrak
5362016-07-10T20:35:22 *** btcdrak sets mode: +b *!~oddish@static-71-162-202-13.phlapa.fios.verizon.net
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5652016-07-10T23:41:52 <grubles> 1/3
5662016-07-10T23:41:59 <grubles> oops. sorry.
5672016-07-10T23:42:05 <sipa> 0.33333333
5682016-07-10T23:42:35 <grubles> :)
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