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BLOCKCHAIN - You've heard about it, we are working on it. Join the $ARDR $NXT $IGNIS Community to develop your… https://t.co/fYkGaHZ5rm


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Chat isn't for everyone. Sometimes, a simple forum post will do. That's why the #Ardor community is active on… https://t.co/hO9B9LG8kJ


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RT @ArdorBlockchain: Use Transaction vouchers on the $ARDR platform to send secure fixed invoices between accounts for many kinds of #block…


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RT @bl0kphile: #ArdorInsights Simple, unencrypted text messages between accounts on #Ardor #IGNIS is the base implementation of Arbitrary #…


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RT @ArdorBlockchain: New users and #hodlers can instantly fund their $ARDR and $IGNIS #cryptocurrency wallets directly from the website, ma…


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2FA? No, old news. Read up, the blockchain is here! https://t.co/1v5b3O8IOG


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WTF is a #vivostick? Can I pay for one? Please help me, please. Can I run an #Ardor #blockchain node on a vivostick? https://t.co/mc3J2u2VpG


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RT @XendBit: @XendBit The African Blockchain and Cryptocurrency community has been expanding yearly with a massive turn out at the Abuja @B…


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RT @ArdorBlockchain: Use #money and #crypto to help others - and grandma! Use #Ardor Lite Wallet on your phone for $ARDR $IGNIS $AEUR $BI…


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BLOCKCHAIN - You've heard about it, we are working on it. Join the $ARDR $NXT $IGNIS Community to develop your… https://t.co/fXIy4fa5t6


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Skip the exchange - go straight from your #euro bank account to $ARDR tokens and enter the #Ardor ecosystem of chil… https://t.co/rFNVh0KhJ2


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RT @ArdorBlockchain: Travel safely and remember to take your #crypto. Use #Ardor Lite Wallet on your phone for $ARDR $IGNIS $AEUR $BITS $…


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RT @ArdorBlockchain: Use reverse multi-signature #transaction with #phasing feature on #Ardor platform to build a dead man's switch and sav…


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RT @NxtCommunity: #Nxt's Marketplace is easy to use - you can list anything for sale in seconds by providing name and description of the pr…


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Coming up, print an #Ardor #Ignis #AEUR #Bits #MPG #Nxt paper wallet with 2/3 secret sharing when creating a new ac… https://t.co/SuoTlObyll


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RT @AvdiuSazan: Ignis Coin Review $IGNIS is the result of an innovative blockchain project, #Ardor. It has immense potential to gain in val…


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What's all the hype about Zero-Knowledge Proofs on the #blockchain? The first step is understanding how ZKPs work i… https://t.co/FoajKbJjMi


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RT @Bit_Swift: It's the 15th, so you know what that means ? Community updates! Check them out @ https://t.co/GgFGGAPacI #Bitswift #Ardor…


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RT @wire_master: I loved this course and I do suggest it to anyone who wants to better understand the Ardor Lightweight Contracts. https://…


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What if your #blockchain passphrase could be more secure so you avoid a @QuadrigaCoinEx situation? Core dev… https://t.co/RKpwrOGQwq


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RT @AvdiuSazan: ArdorJS is a NPM package for the Ardor #blockchain to interact with ardor node. This API wrapper will facilitate the develo…


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The focus has been on #LightweightContracts - but another powerful feature activated on 9 Jan 2019 too: Asset prope… https://t.co/Rk9KBDSGUV


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Creating an #Ardor account is easy. Download the client wallet today & start exploring the capabilities of the worl… https://t.co/K8YS5JjhnY


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REDDIT

Ardor Added To Atomic Multi-Asset Wallet - ATM Token Airdrop ON!



/r/Ardor
Feb. 16, 2019, 1:19 p.m.
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Petko Petkov and Iassen Hristov from #Jelurida are at Hack AUBG in the American University in Bulgaria presenting… https://t.co/PMGHdHNsD5


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Catch up with the team at #Jelurida in the most recent #WeeklyWins. Progress is being made on all fronts with the… https://t.co/AAMTD1D9Bj


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Jelurida’s Weekly Wins - February 15, 2019

Jelurida’s Weekly Wins - February 15, 2019 Updated Product Roadmaps Underway; Load Testing Lab Setup; Jelurida Pitches in Lucerne; Ardor Interview Featured on CoinBureau; Ardor Javascript Wrappers Now on Github; Resource Roundup Is Entering Phase II; ICYMI: Ardor Lite Wallet on iOS and Android Read more about Jelurida’s Weekly Wins - February 15, 2019

Feb. 15, 2019, 10:52 p.m.
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RT @IGNISguide: ICYMI: The winners of the Lightweight #SmartContract hackathon have been announced! #Java devs were asked to automate on/of…


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Simple Zero Knowledge Proof Example https://t.co/NQFNZPcyGq based on my own understanding


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Zero Knowledge Proof Example

Jigsaw Puzzle by MadfoxZero knowledge proofs are becoming the new buzzword in blockchain circles. But how can you explain it to your 13 year-old son?As a thought experiment, I decided to role play my own sample of a zero knowledge proof, which requires only minimal math knowledge. Please bear in mind that this is not an academic paper.Here we go:Say, Alice and Bob are master builders of jigsaw puzzles. They want to compete to see who assembles a 1000 piece puzzle faster when neither one knows what the finished puzzle should look like.They ask Charlie, a random man they met outside the toy store, to buy two sets of the same puzzle model. On the complete set, they ask Charlie to enumerate the pieces of both puzzles randomly with unique numbers between 0 and 999. Charlie uses the same number for the same piece on the different sets (i.e. piece numbered 255 on set #1 is the same piece numbered 255 on set #2, and so on). Charlie then shuffles both sets, throws the pieces of each puzzle in a plastic bag, and gives one set of 1000 numbered pieces to Alice and the other set to Bob. Charlie then goes back to the store and destroys every remaining copy of the puzzle set.At this point, Charlie is relieved of his duty and both parties no longer use his services ever again.The competition begins.Alice, being the faster of the two, completes her puzzle first. She now wants to prove to Bob that she’s holding a complete set, but since she doesn’t trust Bob not to copy her set and claim victory, she wants to prove her win to Bob without revealing what the completed puzzle looks like.Given these circumstances, Alice is the “prover” and Bob is the “verifier”, they both perform the following procedure.Bob selects a random piece from his yet unassembled puzzle set and sends Alice the piece number. Alice then photographs this assembled piece connected to other pieces from every side on her puzzle (edge pieces will have one side unconnected and corner pieces two sides unconnected). She sends the photo to Bob to convince him that, indeed, this random piece he selected is part of the assembled puzzle. Bob compares the piece in Alice’s photo to his own copy of the piece and verifies the match. Consider that by doing so, Bob did not learn anything about the structure of the puzzle that he could not deduce by looking at his piece, except that he now knows that this piece is included in Alice’s puzzle.If Alice completed only half of the puzzle at this point, she only has about 50% chance to correctly photo a random assembled piece.They now repeat the process again and again, with each photo of assembled piece Alice sends that shows an assembled piece, Bob becomes more convinced that Alice indeed holds a fully assembled set of the puzzle.If Alice only completed half of the puzzle, her chance of misleading Bob 128 times in a row is 1 in 2¹²⁸, which is clearly impossible. Even if she completed a higher proportion of the puzzle but not the whole set, repeating this process enough times will eventually expose her bluff.Still, even after 128 attempts, Bob did not learn anything about the full structure of the puzzle.The beauty of this system is that even if the puzzle has a million or a billion or 2²⁵⁶ pieces, the same method can be used to prove to Bob that Alice completed the puzzle with the same guarantees.This method is called an interactive zero knowledge proof. Alice has proven a statement to Bob without Bob learning anything about this statement.But can Alice prove the same without the tedious interactive communication with Bob? It turns out that she can!Given that the first number received from Bob is x, Alice can calculate x² mod 1000, x³ mod 1000, … ,x¹²⁸ mod 1000 and send Bob 128 photos of the resulting piece numbers.Calculation mod 1000 is very simple, all you need to do is use the last three digits of any resulting number.Examples:0 mod 1000 = 0, 1 mod 1000 = 1, 2 mod 1000 = 2, … ,999 mod 1000 = 999, 1000 mod 1000 = 0, 1001 mod 1000 = 1, … ,2003 mod 1000 = 3, …, 987654321 mod 1000 = 321Addition works like the same:(2 + 3) mod 1000 = 5(2 + 999) mod 1000 = 1001 mod 1000 = 1Multiplication and powers:(7*11*13) mod 1000 = 1001 mod 1000 = 12¹⁰ mod 1000 = (2*2*2*2*2*2*2*2*2*2) mod 1000 = 1024 mod 1000 = 24Using this method, assuming the random number provided by Bob is 255, Alice starts to calculate powers of this number, she calculates 255² = 255*255 = 65025, she then calculates 65025 mod 1000 to receive 25 as the 2nd number. She then calculates x³, i.e. 255 * 255 * 255 = 25 * 255 = 6375 and, this time, uses the last 3 digits 375 as the next number. She then calculates 375*255 = 95625 to get 625 and so on. If one of the numbers repeats, she adds 1 to it until receiving a new number, wrapping around from 999 to 0 if necessary, and then continuing to multiply by 255.She then takes the resulting 128 unique numbers and sends the corresponding photos of these assembled pieces to Bob in a single message. Bob can repeat the calculation and verify that indeed these 128 photos correspond to pieces derived from his initial random number, which Alice could not have known in advance.Bob is now convinced beyond a shadow of a doubt that Alice completed the puzzle with only a single message to Alice and a single response from her. But still Bob, even though he has to admit his defeat, knows nothing he did not already know about the full structure of the puzzle.It turns out similar methods, albeit much more sophisticated, can be used in the blockchain world to improve privacy and optimize performance. But more on this in another article.

Feb. 15, 2019, 2:15 p.m.
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Zero Knowledge Proof Example

Jigsaw Puzzle by MadfoxZero knowledge proofs are becoming the new buzzword in blockchain circles. But how can you explain it to your 13 year-old son?As a thought experiment, I decided to role play my own sample of a zero knowledge proof, which requires only minimal math knowledge. Please bear in mind that this is not an academic paper.Here we go:Say, Alice and Bob are master builders of jigsaw puzzles. They want to compete to see who assembles a 1000 piece puzzle faster when neither one knows what the finished puzzle should look like.They ask Charlie, a random man they met outside the toy store, to buy two sets of the same puzzle model. On the complete set, they ask Charlie to enumerate the pieces of both puzzles randomly with unique numbers between 0 and 999. Charlie uses the same number for the same piece on the different sets (i.e. piece numbered 255 on set #1 is the same piece numbered 255 on set #2, and so on). Charlie then shuffles both sets, throws the pieces of each puzzle in a plastic bag, and gives one set of 1000 numbered pieces to Alice and the other set to Bob. Charlie then goes back to the store and destroys every remaining copy of the puzzle set.At this point, Charlie is relieved of his duty and both parties no longer use his services ever again.The competition begins.Alice, being the faster of the two, completes her puzzle first. She now wants to prove to Bob that she’s holding a complete set, but since she doesn’t trust Bob not to copy her set and claim victory, she wants to prove her win to Bob without revealing what the completed puzzle looks like.Given these circumstances, Alice is the “prover” and Bob is the “verifier”, they both perform the following procedure.Bob selects a random piece from his yet unassembled puzzle set and sends Alice the piece number. Alice then photographs this assembled piece connected to other pieces from every side on her puzzle (edge pieces will have one side unconnected and corner pieces two sides unconnected). She sends the photo to Bob to convince him that, indeed, this random piece he selected is part of the assembled puzzle. Bob compares the piece in Alice’s photo to his own copy of the piece and verifies the match. Consider that by doing so, Bob did not learn anything about the structure of the puzzle that he could not deduce by looking at his piece, except that he now knows that this piece is included in Alice’s puzzle.If Alice completed only half of the puzzle at this point, she only has about 50% chance to correctly photo a random assembled piece.They now repeat the process again and again, with each photo of assembled piece Alice sends that shows an assembled piece, Bob becomes more convinced that Alice indeed holds a fully assembled set of the puzzle.If Alice only completed half of the puzzle, her chance of misleading Bob 128 times in a row is 1 in 2¹²⁸, which is clearly impossible. Even if she completed a higher proportion of the puzzle but not the whole set, repeating this process enough times will eventually expose her bluff.Still, even after 128 attempts, Bob did not learn anything about the full structure of the puzzle.The beauty of this system is that even if the puzzle has a million or a billion or 2²⁵⁶ pieces, the same method can be used to prove to Bob that Alice completed the puzzle with the same guarantees.This method is called an interactive zero knowledge proof. Alice has proven a statement to Bob without Bob learning anything about this statement.But can Alice prove the same without the tedious interactive communication with Bob? It turns out that she can!Given that the first number received from Bob is x, Alice can calculate x² mod 1000, x³ mod 1000, … ,x¹²⁸ mod 1000 and send Bob 128 photos of the resulting piece numbers.Calculation mod 1000 is very simple, all you need to do is use the last three digits of any resulting number.Examples:0 mod 1000 = 0, 1 mod 1000 = 1, 2 mod 1000 = 2, … ,999 mod 1000 = 999, 1000 mod 1000 = 0, 1001 mod 1000 = 1, … ,2003 mod 1000 = 3, …, 987654321 mod 1000 = 321Addition works like this:(2 + 3) mod 1000 = 5(2 + 999) mod 1000 = 1001 mod 1000 = 1Multiplication and powers:(7*11*13) mod 1000 = 1001 mod 1000 = 12¹⁰ mod 1000 = (2*2*2*2*2*2*2*2*2*2) mod 1000 = 1024 mod 1000 = 24Using this method, assuming the random number provided by Bob is 255, Alice starts to calculate powers of this number, she calculates 255² = 255*255 = 65025, she then calculates 65025 mod 1000 to receive 25 as the 2nd number. She then calculates x³, i.e. 255 * 255 * 255 = 25 * 255 = 6375 and, this time, uses the last 3 digits 375 as the next number. She then calculates 375*255 = 95625 to get 625 and so on. If one of the numbers repeats, she adds 1 to it until receiving a new number, wrapping around from 999 to 0 if necessary, and then continuing to multiply by 255.She then takes the resulting 128 unique numbers and sends the corresponding photos of these assembled pieces to Bob in a single message. Bob can repeat the calculation and verify that indeed these 128 photos correspond to pieces derived from his initial random number, which Alice could not have known in advance.Bob is now convinced beyond a shadow of a doubt that Alice completed the puzzle with only a single message to Alice and a single response from her. But still Bob, even though he has to admit his defeat, knows nothing he did not already know about the full structure of the puzzle.It turns out similar methods, albeit much more sophisticated, can be used in the blockchain world to improve privacy and optimize performance. But more on this in another article.Zero Knowledge Proof Example was originally published in Hacker Noon on Medium, where people are continuing the conversation by highlighting and responding to this story.

Feb. 15, 2019, 2:15 p.m.
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Zero Knowledge Proof Example

Jigsaw Puzzle by MadfoxZero knowledge proofs are becoming the new buzzword in blockchain circles. But how can you explain it to your 13 year-old son?As a thought experiment, I decided to role play my own sample of a zero knowledge proof, which requires only minimal math knowledge. Please bear in mind that this is not an academic paper.Here we go:Say, Alice and Bob are master builders of jigsaw puzzles. They want to compete to see who assembles a 1000 piece puzzle faster when neither one knows what the finished puzzle should look like.They ask Charlie, a random man they met outside the toy store, to buy two sets of the same puzzle model. On the complete set, they ask Charlie to enumerate the pieces of both puzzles randomly with unique numbers between 0 and 999. Charlie uses the same number for the same piece on the different sets (i.e. the piece numbered 255 on set #1 is the same piece numbered 255 on set #2, and so on). Charlie then shuffles both sets, throws the pieces of each puzzle in a plastic bag, and gives one set of 1000 numbered pieces to Alice and the other set to Bob. Charlie then goes back to the store and destroys every remaining copy of the puzzle set.At this point, Charlie is relieved of his duty and both parties no longer use his services ever again.The competition begins.Alice, being the faster of the two, completes her puzzle first. She now wants to prove to Bob that she’s holding a complete set, but since she doesn’t trust Bob not to copy her set and claim victory, she wants to prove her win to Bob without revealing what the completed puzzle looks like.Given these circumstances, Alice is the “prover” and Bob is the “verifier”, they both perform the following procedure.Bob selects a random piece from his yet unassembled puzzle set and sends Alice the piece number. Alice then photographs this assembled piece connected to other pieces from every side on her puzzle (edge pieces will have one side unconnected and corner pieces two sides unconnected). She sends the photo to Bob to convince him that, indeed, this random piece he selected is part of the assembled puzzle. Bob compares the piece in Alice’s photo to his own copy of the piece and verifies the match. Consider that by doing so, Bob did not learn anything about the structure of the puzzle that he could not deduce by looking at his piece, except that he now knows that this piece is included in Alice’s puzzle.If Alice completed only half of the puzzle at this point, she only has about 50% chance to correctly photo a random assembled piece.They now repeat the process again and again, with each photo of assembled piece Alice sends that shows an assembled piece, Bob becomes more convinced that Alice indeed holds a fully assembled set of the puzzle.If Alice only completed half of the puzzle, her chance of misleading Bob 128 times in a row is 1 in 2¹²⁸, which is clearly impossible. Even if she completed a higher proportion of the puzzle but not the whole set, repeating this process enough times will eventually expose her bluff.Still, even after 128 attempts, Bob did not learn anything about the full structure of the puzzle.The beauty of this system is that even if the puzzle has a million or a billion or 2²⁵⁶ pieces, the same method can be used to prove to Bob that Alice completed the puzzle with the same guarantees.This method is called an interactive zero knowledge proof. Alice has proven a statement to Bob without Bob learning anything about this statement.But can Alice prove the same without the tedious interactive communication with Bob? It turns out that she can!Given that the first number received from Bob is x, Alice can calculate x² mod 1000, x³ mod 1000, … ,x¹²⁸ mod 1000 and send Bob 128 photos of the resulting piece numbers.Calculation mod 1000 is very simple, all you need to do is use the last three digits of any resulting number.Examples:0 mod 1000 = 0, 1 mod 1000 = 1, 2 mod 1000 = 2, … ,999 mod 1000 = 999, 1000 mod 1000 = 0, 1001 mod 1000 = 1, … ,2003 mod 1000 = 3, …, 987654321 mod 1000 = 321Addition works like this:(2 + 3) mod 1000 = 5(2 + 999) mod 1000 = 1001 mod 1000 = 1Multiplication and powers:(7*11*13) mod 1000 = 1001 mod 1000 = 12¹⁰ mod 1000 = (2*2*2*2*2*2*2*2*2*2) mod 1000 = 1024 mod 1000 = 24Using this method, assuming the random number provided by Bob is 255, Alice starts to calculate powers of this number, she calculates 255² = 255*255 = 65025, she then calculates 65025 mod 1000 to receive 25 as the 2nd number. She then calculates x³, i.e. 255 * 255 * 255 = 25 * 255 = 6375 and, this time, uses the last 3 digits 375 as the next number. She then calculates 375*255 = 95625 to get 625 and so on. If one of the numbers repeats, she adds 1 to it until receiving a new number, wrapping around from 999 to 0 if necessary, and then continuing to multiply by 255.She then takes the resulting 128 unique numbers and sends the corresponding photos of these assembled pieces to Bob in a single message. Bob can repeat the calculation and verify that indeed these 128 photos correspond to pieces derived from his initial random number, which Alice could not have known in advance.Bob is now convinced beyond a shadow of a doubt that Alice completed the puzzle with only a single message to Alice and a single response from her. But still Bob, even though he has to admit his defeat, knows nothing he did not already know about the full structure of the puzzle.It turns out similar methods, albeit much more sophisticated, can be used in the blockchain world to improve privacy and optimize performance. But more on this in another article.https://medium.com/media/3c851dac986ab6dbb2d1aaa91205a8eb/hrefZero Knowledge Proof Example was originally published in HackerNoon.com on Medium, where people are continuing the conversation by highlighting and responding to this story.

Feb. 15, 2019, 2:15 p.m.
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Have a #physical or #digital product to sell? Why not try listing and selling it in the #Nxt #Marketplace? It's the… https://t.co/gH2BOHIqio


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RT @AvdiuSazan: Ardor (ARDR) – Should You Invest in Ardor? What is Ardor? Ardor is focussed on Blockchain-as-a-Service and makes it easy fo…


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RT @ArdorBlockchain: Use #Ardor Lite Wallet on your phone for $ARDR $IGNIS $AEUR $BITS $MPG transactions from your #mobile. Links to the…


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Stop worrying. Start transacting on the #blockchain with no risk of sending funds to the wrong account address than… https://t.co/NZedfunQbV


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https://t.co/FrSvkFZczu https://t.co/LOVnufscOg


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RT @NxtCommunity: Happy Valentine's Day to all Nxters! 💙🚀😍We are lucky to have one of the greatest communities in the #blockchain world! Jo…


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With Ardor, participation matters. Become a Forger securing transactions across each #blockchain of #Ardor platform… https://t.co/jjl3QozRla


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.@fsarrias from Jelurida is presenting today our technology in the University of Lucerne, Switzerland #Ardor #Nxt… https://t.co/YEd8uCfoqp


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RT @bl0kphile: #ArdorInsights wishes you a happy #ValentinesDay! Do some good for your loved ones and give them the perfect gift: a new #Ar…


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ArdorJS an #API wrapper for developers on the #Ardor #blockchain has been released thanks to @aajaji_m More than 25… https://t.co/sRJt89mpYz


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RT @Malnemark1: The #Ardor community started a state-of-the-art, #RxJS observable based javascript API. Thats great news, well done @aajaji…


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There's a lot to learn if you are new to #blockchain & distributed #ledger- join our community discussion on… https://t.co/EwF1o5dWuN


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Happy Valentine's Day to our dedicated community! Thanks for the hours spent using, testing, & supporting #Ardor. M… https://t.co/IElVst97wl


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While @Jelurida is hard at work updating the company website to better reflect the value proposition of our product… https://t.co/8ufvp6sbUQ


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Starting my long way home after a wonderful week in Lugano. Team #Jelurida made a lot of progress with strategy and… https://t.co/6M4IpLSQ3M


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RT @CryptoDemetrius: My response to Martin Wolf's #cryptocurrency op-ed has been picked up by @Alt__Magazine and I will be publishing futur…


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RT @takpol13: #Triffic One Pager from the https://t.co/uqYPZ2UOz5 https://t.co/E3ziKuWrNW


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RT @CryptoDemetrius: There is an opportunity for a real conversation to happen here, but only if we are open and honest about the current s…


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