--- Log opened Sat May 19 00:00:21 2018 00:09 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has joined #bitcoin-wizards 00:37 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 00:42 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Ping timeout: 260 seconds] 00:50 -!- d9b4bef9 [~d9b4bef9@web501.webfaction.com] has quit [Remote host closed the connection] 00:51 -!- d9b4bef9 [~d9b4bef9@web501.webfaction.com] has joined #bitcoin-wizards 00:51 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 00:57 -!- samm_ [~samm@176-161-115-196.abo.bbox.fr] has quit [Remote host closed the connection] 00:57 -!- samm_ [~samm@176-161-115-196.abo.bbox.fr] has joined #bitcoin-wizards 02:09 -!- TheoStorm [~dnaleor@host-lzquwqj.cbn1.zeelandnet.nl] has joined #bitcoin-wizards 02:38 -!- cryptojanitor [uid278088@gateway/web/irccloud.com/x-iyulvqcftarwdvhe] has joined #bitcoin-wizards 02:42 -!- thrmo [~thrmo@unaffiliated/thrmo] has joined #bitcoin-wizards 03:17 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has quit [Remote host closed the connection] 03:30 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has joined #bitcoin-wizards 03:31 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has quit [Remote host closed the connection] 04:42 -!- rusty [~rusty@pdpc/supporter/bronze/rusty] has left #bitcoin-wizards [] 04:53 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has joined #bitcoin-wizards 05:50 -!- Guyver2 [AdiIRC@guyver2.xs4all.nl] has joined #bitcoin-wizards 05:58 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 06:15 < waxwing> if Alice and Bob want to do 2 of 2 schnorr, but Alice wants to propose it to Bob without interaction, taking a known pubkey of Bob's P, can she construct a 2 of 2 with only a "forward" (perhaps "half-round") interaction: send to Bob: P, P_2 = P + aG, R = P + bG, where a, b are sent along privately or made from some ECDH, then she can calculate the joint key (musig or whatever formula) in advance? 06:17 < waxwing> ah perhaps the issue there is, you have to commit to the R values before your P values? i should have clarified above, "send P_2, R" means those would be *Bob's* intended P and R, of course Alice would have to send her own too. 06:44 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 06:47 < aj> waxwing: musig lets you calculate the combined pubkey non-interactively (so you can pay to the multisig address); to do the signature, you need to know both of the public nonces, because you hash their sum when computing the signature (to pay from the multisig address). if Bob provides Alice with an R value in advance there's some risk (if Alice can trick Bob into signing two different messages with 06:47 < aj> the same R value, he reveals his key) 06:48 < waxwing> aj: yes, i'm specifically proposing that Alice send (via encrypted channel) a scalar 'b' to Bob, which he adds to his pubkey P, and uses R = P + bG 06:48 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Ping timeout: 255 seconds] 06:49 -!- goofie [~goofie@104-7-174-119.lightspeed.hstntx.sbcglobal.net] has quit [Quit: WeeChat 2.0.1] 06:49 -!- goofie [~goofie@104-7-174-119.lightspeed.hstntx.sbcglobal.net] has joined #bitcoin-wizards 06:50 < aj> waxwing: s = r+Hp = p+b+Hp = b+(1+H)p; p = (s-b)/(1+H) -- reveals Bob's pubkey if he signs with that nonce 06:52 < waxwing> aj, can you clarify what the terms are there? i'm not proposing using key P as Bob's key, and i'm not proposing not using a joint key a la musig 06:52 < waxwing> i think you're using "p" as private key of P right 06:52 < aj> waxwing: you said P is his pubkey, so I'm calling his private key p; P=pG 06:53 < aj> waxwing: H is the signature message hash, SHA256(R||P||m) or similar 06:53 < waxwing> right i see what you're saying, that's not what i'm proposing. let me right out in a bit more clear detail: 06:54 < waxwing> we want 2 of 2. Alice knows one pubkey of Bob, P. Alice send (P_A, R_A) (her own, as normal), but sends a,b two random scalars: Bob constructs his keys as P_B = P + aG, R_B = P + bG, then he can construct the joint key (with the hashes) in musig as normal. 06:54 < waxwing> and iiuc Alice can as well, in advance. i think. 06:55 < aj> alice knows P in advance, right? 06:55 < waxwing> yes 06:56 < aj> it seems a bit weird to be generating a pubkey and the nonces for signing against that pubkey at the same time, fwiw 06:57 < waxwing> yeah, weird for sure. wondering how close you can get to a one-way interaction. 06:57 < aj> but the end signature looks like s = (r_a+r_b) + H*(p_a + p_B) # lower case for curve preimages, H=SHA256( (R_A+R_B) || (P_A+P_B) || m ) or similar 06:58 < waxwing> oh i see; you mean it exposes "p" there? 06:58 < waxwing> oh, no, you don't publish "r" of course 06:58 < waxwing> i do prefer "k" btw :) 06:58 < aj> s - r_a - Hp_a = r_b + Hp_b = p+b + H(p+b) = p+Hp + b(1+H) 06:59 < aj> i like lower case = scalar/secret, upper case = corresponding curve point 06:59 < waxwing> oh 100%, that is not in question (re: lower case) 06:59 < aj> Alice knows s (from the published signature), r_a (her secret), H (public), p_a (her private key), b (her scalar), so can calculate p (B's original private key) 07:00 -!- vicenteH [~user@35.233.15.37.dynamic.jazztel.es] has joined #bitcoin-wizards 07:01 < aj> sorry, there should have been H(p+a) there, not p+b, point should still stand though 07:03 < aj> iirc tadge's descreet logs uses single-use double-length public keys by having them be (P,R) pairs, so if you let Bob give Alice a (P,R) pair initially, then you could go to town. but Bob would need to make that unique for Alice, Alice couldn't look that up Bob's pubkey in the phone book or so 07:03 < waxwing> you wrote s - r_a - Hp_a = r_b + Hp_b = p+b + H(p+b), shouldn't that be `p+b + H(p_b)(p+a)` 07:04 < waxwing> or ... not 100% clear to me your notation, but Bob's side of sig is s = k + e x where x is his private key (p+a), k is p+b (as you wrote) and e is the hash of the keys a la musig 07:04 < aj> yeah, r_b + H*p_b = p+b + H*(p+a) (H is a scalar result of the hash) 07:05 < waxwing> ok "H*(p+a)" yeah that's clear 07:07 < waxwing> yes, one time use etc. hmm. 07:13 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 07:13 < waxwing> yes, the simplest way to understand it is the security of `s = k + ex` is dependent on having two unknowns k, x; if both are (publically known) tweaks of only one unknown (here, 'p'), the security is lost. 07:13 < waxwing> thanks aj 07:14 < aj> yeah 07:15 < aj> if you come up with a clever solution though, let me know :) 07:15 < waxwing> heh. no! i'll go straight to nchain and patent it :) 07:16 -!- nuncanada [~dude@187.65.34.157] has joined #bitcoin-wizards 07:17 < aj> that makes no sense -- what you've got is already good enough to go to nchain and patent! 07:17 < waxwing> lol 07:17 < waxwing> i mean, the obvious next thing to think is: if only one unknown is not enough, how about 2? what if you have two keys of Bob's available? 07:18 < waxwing> hmm not interesting, is it. that just means you know P and R. 07:18 < aj> if you could make it multi-use, it might be interesting? 07:20 < waxwing> i guess. but just to be clear (because it for sure isn't yet, to me): if you took a P and an R from the blockchain, and let's say you tweaked them both to avoid reuse, would that be secure? 07:24 < aj> you've got a schnorr signature (R,s) from the blockchain, with s = r+xp (x=SHA256(blah), R,s,P all known) ; and you'll get another signature with s = a+(b+c*r) + H*(d+e*p + q) ; you know a,b,c,d,e,q,H,s 07:25 < aj> so collecting knowns on the left gives s-a-b - H*(d+q) = c*r + H*e*p 07:26 < aj> but r = s-xp, so RHS = c*(s-xp) + H*e*p = c*s - (c*x+H*e)*p and c*s is known, as is c,x,H,e so you can solve for p :( 07:26 -!- arubi [~ese168@gateway/tor-sasl/ese168] has quit [Remote host closed the connection] 07:26 -!- arubi [~ese168@gateway/tor-sasl/ese168] has joined #bitcoin-wizards 07:27 < aj> and i think EC only lets you tweak by multiplying and adding right, so that covers everything possible, if you source is the blockchain :( 07:28 < waxwing> i didn't follow exactly, but i'm betting what you're arguing is: if you use the same (R, P) as from one transactoin signature, with only linear tweaks, you can still extract p. 07:28 < aj> yeah. sorry, it's saturday night here, so i'm multitasking this convo and getting sloshed :) 07:28 < waxwing> presumably because you have two signatures using the same secrets r and p, effectively (linear tweaks are known) 07:29 < waxwing> oh. you just made me realise it's Sunday lol 07:29 < aj> oh dear, so it is :( 07:29 < waxwing> no wait, it's saturday! 07:30 < aj> half-past midnight here 07:30 < waxwing> just use 2 different keys (ie not exactly R, P from one transaction sig) 07:32 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has quit [Remote host closed the connection] 07:34 < aj> how do you deanonymise Bob's transactions to find a different tx with a different P to pick an R from? 07:35 < waxwing> you could make the Nakamoto/Meiklejohn assumption "all inputs from one counterparty"; understand i'm thinking of rather wacky ideas like what i called 'snicker' where you propose transactions and send them to a bulletin board encrypted, without contacting the counterparty 07:36 < waxwing> it's just me trying to figure out how far you can go in making proposals for things like coinswap or coinjoin, without doing rounds of interactivity and so on. 07:37 < waxwing> but what you helped me realise there is that there are probably no shortcuts to "each side has their P, R" and obviously normally that means each side generating their R in interaction. 07:38 -!- cryptojanitor [uid278088@gateway/web/irccloud.com/x-iyulvqcftarwdvhe] has quit [Quit: Connection closed for inactivity] 07:41 < aj> the case i'm thinking of is splitting your private key into a 2-of-2 multisig, so you can have one device compromised without losing your funds... be nice if you could still do signatures without both devices having to talk to each other while signing, which imo increases the risk of a compromise spreading 07:41 -!- CodeShark [sid126576@gateway/web/irccloud.com/x-boaqclfuaxurumfy] has quit [Ping timeout: 256 seconds] 07:41 -!- mariorz [sid490@gateway/web/irccloud.com/x-jwhhpxxotytlwbda] has quit [Ping timeout: 256 seconds] 07:42 < aj> but only thing i can think of is having each device pass a bunch of nonces to the other one first as part of the setup, and then ensuring each is only used at most once 07:43 -!- mariorz [sid490@gateway/web/irccloud.com/x-curlpcjeicvcwcok] has joined #bitcoin-wizards 07:44 < waxwing> yes outside of RFC6979 land life gets rather dangerous 07:47 -!- CodeShark_ [sid126576@gateway/web/irccloud.com/x-ebebhebdelhcbfti] has joined #bitcoin-wizards 07:50 -!- djhoulihan [~djhouliha@static-173-52-41-34.nycmny.fios.verizon.net] has quit [Quit: A deep and dreamless slumber.] 08:01 -!- djhoulihan [~djhouliha@static-173-52-41-34.nycmny.fios.verizon.net] has joined #bitcoin-wizards 08:15 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 08:33 -!- yokwe [sid51352@gateway/web/irccloud.com/x-ksfzdedjpadgvkbe] has quit [Remote host closed the connection] 08:33 -!- wallet42 [sid154231@gateway/web/irccloud.com/x-eklzjdikgcnunnuw] has quit [Remote host closed the connection] 08:33 -!- worstadmin [sid56056@gateway/web/irccloud.com/x-rpldozrsqllehqsl] has quit [Remote host closed the connection] 08:33 -!- sarang [sid248211@gateway/web/irccloud.com/x-fmjkfvtoirwjhgfi] has quit [Remote host closed the connection] 08:33 -!- Herka [sid58030@gateway/web/irccloud.com/x-qpwrclihynrywqwb] has quit [Remote host closed the connection] 08:36 -!- yokwe [sid51352@gateway/web/irccloud.com/x-ghfpiptnylfgtzxt] has joined #bitcoin-wizards 08:36 -!- worstadmin [sid56056@gateway/web/irccloud.com/x-mrmhpcimveeyqxtp] has joined #bitcoin-wizards 08:36 -!- Herka [sid58030@gateway/web/irccloud.com/x-uhszlqriwmxearhv] has joined #bitcoin-wizards 08:37 -!- sarang [sid248211@gateway/web/irccloud.com/x-bwmzmztrasqbhyrt] has joined #bitcoin-wizards 08:39 -!- wallet42 [sid154231@gateway/web/irccloud.com/x-mamcpkoytgudckri] has joined #bitcoin-wizards 09:08 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has joined #bitcoin-wizards 09:52 -!- deusexbeer [~deusexbee@093-092-181-135-dynamic-pool-adsl.wbt.ru] has quit [Quit: Konversation terminated!] 10:01 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 10:02 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 10:03 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 10:03 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 10:04 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 10:11 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has quit [Ping timeout: 240 seconds] 10:13 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 10:16 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has joined #bitcoin-wizards 10:17 -!- bsm1175321 [~mcelrath@172.58.216.138] has joined #bitcoin-wizards 10:19 -!- Noldorin [~noldorin@unaffiliated/noldorin] has joined #bitcoin-wizards 10:31 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has quit [Ping timeout: 264 seconds] 10:34 -!- bsm1175321 [~mcelrath@172.58.216.138] has quit [Ping timeout: 240 seconds] 10:39 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 10:52 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 10:54 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has joined #bitcoin-wizards 11:01 -!- deusexbeer [~deusexbee@093-092-181-135-dynamic-pool-adsl.wbt.ru] has joined #bitcoin-wizards 11:04 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Remote host closed the connection] 11:22 -!- nuncanada [~dude@187.65.34.157] has quit [Quit: Leaving] 11:29 -!- nuncanada [~dude@187.65.34.157] has joined #bitcoin-wizards 11:30 -!- nuncanada [~dude@187.65.34.157] has quit [Read error: Connection reset by peer] 11:32 -!- nuncanada [~dude@187.65.34.157] has joined #bitcoin-wizards 11:32 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards 11:35 -!- nuncanada [~dude@187.65.34.157] has quit [Read error: Connection reset by peer] 11:36 -!- nuncanada [~dude@187.65.34.157] has joined #bitcoin-wizards 12:14 -!- cryptojanitor [uid278088@gateway/web/irccloud.com/x-rxzblmsrgaqeogiv] has joined #bitcoin-wizards 12:29 -!- SopaXorzTaker [~SopaXorzT@unaffiliated/sopaxorztaker] has quit [Remote host closed the connection] 12:31 -!- belcher [~belcher@unaffiliated/belcher] has quit [Ping timeout: 255 seconds] 12:46 -!- belcher [~belcher@unaffiliated/belcher] has joined #bitcoin-wizards 13:02 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 13:26 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 13:28 -!- Aaronvan_ [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 13:32 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Ping timeout: 256 seconds] 13:45 -!- Aaronvan_ [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 13:45 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 13:47 -!- son0p_ [~ff@adsl201-232-238-252.epm.net.co] has joined #bitcoin-wizards 13:49 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 13:50 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has joined #bitcoin-wizards 14:05 -!- LeMiner [~LeMiner@unaffiliated/leminer] has joined #bitcoin-wizards 14:10 -!- AaronvanW [~AaronvanW@unaffiliated/aaronvanw] has quit [Remote host closed the connection] 14:18 -!- thrmo_ [~thrmo@unaffiliated/thrmo] has joined #bitcoin-wizards 14:18 -!- thrmo [~thrmo@unaffiliated/thrmo] has quit [Ping timeout: 260 seconds] 14:29 -!- son0p_ [~ff@adsl201-232-238-252.epm.net.co] has quit [Remote host closed the connection] 14:30 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has quit [Ping timeout: 240 seconds] 14:35 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has joined #bitcoin-wizards 15:01 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has quit [Ping timeout: 240 seconds] 15:04 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 15:15 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has quit [Ping timeout: 256 seconds] 15:22 -!- nephyrin` [~neph@67.183.153.159] has joined #bitcoin-wizards 15:23 -!- spinza [~spin@155.93.246.187] has quit [Quit: Coyote finally caught up with me...] 15:24 -!- nephyrin [~neph@67.183.153.159] has quit [Ping timeout: 265 seconds] 15:26 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has quit [Ping timeout: 260 seconds] 15:38 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has joined #bitcoin-wizards 15:41 -!- spinza [~spin@155.93.246.187] has joined #bitcoin-wizards 15:49 -!- LeMiner [~LeMiner@unaffiliated/leminer] has quit [Read error: Connection reset by peer] 15:49 -!- Guyver2 [AdiIRC@guyver2.xs4all.nl] has quit [Quit: Going offline, see ya! (www.adiirc.com)] 16:13 -!- cryptojanitor [uid278088@gateway/web/irccloud.com/x-rxzblmsrgaqeogiv] has quit [Quit: Connection closed for inactivity] 17:04 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has quit [Ping timeout: 256 seconds] 17:18 -!- Giszmo [~leo@pc-37-38-86-200.cm.vtr.net] has joined #bitcoin-wizards 17:35 -!- d9b4bef9 [~d9b4bef9@web501.webfaction.com] has quit [Remote host closed the connection] 17:56 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Read error: Connection reset by peer] 18:03 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has joined #bitcoin-wizards 18:03 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has quit [Changing host] 18:03 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 18:13 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Read error: Connection reset by peer] 18:17 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has quit [Ping timeout: 260 seconds] 18:17 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 18:21 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has joined #bitcoin-wizards 18:21 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has quit [Changing host] 18:21 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 18:33 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Read error: Connection reset by peer] 18:35 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has quit [Ping timeout: 240 seconds] 18:38 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 18:40 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has joined #bitcoin-wizards 18:40 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has quit [Changing host] 18:40 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 19:03 -!- sometest [8d14d945@gateway/web/freenode/ip.141.20.217.69] has quit [Ping timeout: 260 seconds] 19:33 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has quit [Ping timeout: 256 seconds] 19:41 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has quit [Read error: Connection reset by peer] 19:43 -!- Noldorin [~noldorin@unaffiliated/noldorin] has quit [Quit: My MacBook Pro has gone to sleep. ZZZzzz…] 19:44 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 19:48 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has joined #bitcoin-wizards 19:48 -!- Belkaar [~Belkaar@xdsl-87-79-144-2.netcologne.de] has quit [Changing host] 19:48 -!- Belkaar [~Belkaar@unaffiliated/belkaar] has joined #bitcoin-wizards 21:00 -!- legogris [~legogris@128.199.205.238] has quit [Remote host closed the connection] 21:01 -!- legogris [~legogris@128.199.205.238] has joined #bitcoin-wizards 21:12 -!- nuncanada [~dude@187.65.34.157] has quit [Ping timeout: 256 seconds] 21:22 -!- d9b4bef9 [~d9b4bef9@web501.webfaction.com] has joined #bitcoin-wizards 22:14 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has quit [Ping timeout: 256 seconds] 22:16 -!- keymone [~keymone@ip1f13761c.dynamic.kabel-deutschland.de] has joined #bitcoin-wizards 23:22 -!- DougieBot5000 [~DougieBot@unaffiliated/dougiebot5000] has quit [Ping timeout: 260 seconds] 23:49 -!- thrmo__ [~thrmo@unaffiliated/thrmo] has joined #bitcoin-wizards 23:51 -!- thrmo_ [~thrmo@unaffiliated/thrmo] has quit [Ping timeout: 276 seconds] 23:54 -!- thrmo__ [~thrmo@unaffiliated/thrmo] has quit [Ping timeout: 240 seconds] 23:57 -!- tromp [~tromp@ip-217-103-3-94.ip.prioritytelecom.net] has joined #bitcoin-wizards --- Log closed Sun May 20 00:00:22 2018