More on Personal Growth

Tim Denning
2 years ago
In this recession, according to Mark Cuban, you need to outwork everyone
Here’s why that’s baloney
Mark Cuban popularized entrepreneurship.
Shark Tank (which made Mark famous) made starting a business glamorous to attract more entrepreneurs. First off
This isn't an anti-billionaire rant.
Mark Cuban has done excellent. He's a smart, principled businessman. I enjoy his Web3 work. But Mark's work and productivity theories are absurd.
You don't need to outwork everyone in this recession to live well.
You won't be able to outwork me.
Yuck! Mark's words made me gag.
Why do boys think working is a football game where the winner wins a Super Bowl trophy? To outwork you.
Hard work doesn't equal intelligence.
Highly clever professionals spend 4 hours a day in a flow state, then go home to relax with family.
If you don't put forth the effort, someone else will.
- Mark.
He'll burn out. He's delusional and doesn't understand productivity. Boredom or disconnection spark our best thoughts.
TikTok outlaws boredom.
In a spare minute, we check our phones because we can't stand stillness.
All this work p*rn makes things worse. When is it okay to feel again? Because I can’t feel anything when I’m drowning in work and haven’t had a holiday in 2 years.
Your rivals are actively attempting to undermine you.
Ohhh please Mark…seriously.
This isn't a Tom Hanks war film. Relax. Not everyone is a rival. Only yourself is your competitor. To survive the recession, be better than a year ago.
If you get rich, great. If not, there's more to life than Lambos and angel investments.
Some want to relax and enjoy life. No competition. We witness people with lives trying to endure the recession and record-high prices.
This fictitious rival worsens life and work.
If you are truly talented, you will motivate others to work more diligently and effectively.
No Mark. Soz.
If you're a good leader, you won't brag about working hard and treating others like cogs. Treat them like humans. You'll have EQ.
Silly statements like this are caused by an out-of-control ego. No longer watch Shark Tank.
Ego over humanity.
Good leaders will urge people to keep together during the recession. Good leaders support those who are laid off and need a reference.
Not harder, quicker, better. That created my mental health problems 10 years ago.
Truth: we want to work less.
The promotion of entrepreneurship is ludicrous.
Marvel superheroes. Seriously, relax Max.
I used to write about entrepreneurship, then I quit. Many WeWork Adam Neumanns. Carelessness.
I now utilize the side hustle title when writing about online company or entrepreneurship. Humanizes.
Stop glorifying. Thinking we'll all be Elon Musks who send rockets to Mars is delusional. Most of us won't create companies employing hundreds.
OK.
The true epidemic is glorification. fewer selfies Little birdy needs less bank account screenshots. Less Uber talk.
We're exhausted.
Fun, ego-free business can transform the world. Take a relax pill.
Work as if someone were attempting to take everything from you.
I've seen people lose everything.
Myself included. My 20s startup failed. I was almost bankrupt. I thought I'd never recover. Nope.
Best thing ever.
Losing everything reveals your true self. Unintelligent entrepreneur egos perish instantly. Regaining humility revitalizes relationships.
Money's significance shifts. Stop chasing it like a puppy with a bone.
Fearing loss is unfounded.
Here is a more effective approach than outworking nobody.
(You'll thrive in the recession and become wealthy.)
Smarter work
Overworking is donkey work.
You don't want to be a career-long overworker. Instead than wasting time, write down what you do. List tasks and processes.
Keep doing/outsource the list. Step-by-step each task. Continuously systematize.
Then recruit a digital employee like Zapier or a virtual assistant in the same country.
Intelligent, not difficult.
If your big break could burn in hell, diversify like it will.
People err by focusing on one chance.
Chances can vanish. All-in risky. Instead of working like a Mark Cuban groupie, diversify your income.
If you're employed, your customer is your employer.
Sell the same abilities twice and add 2-3 contract clients. Reduce your hours at your main job and take on more clients.
Leave brand loyalty behind
Mark desires his employees' worship.
That's stupid. When times are bad, layoffs multiply. The problem is the false belief that companies care. No. A business maximizes profit and pays you the least.
To care or overpay is anti-capitalist (that run the world). Be honest.
I was a banker. Then the bat virus hit and jobs disappeared faster than I urinate after a night of drinking.
Start being disloyal now since your company will cheerfully replace you with a better applicant. Meet recruiters and hiring managers on LinkedIn. Whenever something goes wrong at work, act.
Loyalty to self and family. Nobody.
Outwork this instead
Mark doesn't suggest outworking inflation instead of people.
Inflation erodes your time on earth. If you ignore inflation, you'll work harder for less pay every minute.
Financial literacy beats inflation.
Get a side job and earn money online
So you can stop outworking everyone.
Internet leverages time. Same effort today yields exponential results later. There are still whole places not online.
Instead of working forever, generate money online.
Final Words
Overworking is stupid. Don't listen to wealthy football jocks.
Work isn't everything. Prioritize diversification, internet income streams, boredom, and financial knowledge throughout the recession.
That’s how to get wealthy rather than burnout-rich.

Jari Roomer
3 years ago
After 240 articles and 2.5M views on Medium, 9 Raw Writing Tips
Late in 2018, I published my first Medium article, but I didn't start writing seriously until 2019. Since then, I've written more than 240 articles, earned over $50,000 through Medium's Partner Program, and had over 2.5 million page views.
Write A Lot
Most people don't have the patience and persistence for this simple writing secret:
Write + Write + Write = possible success
Writing more improves your skills.
The more articles you publish, the more likely one will go viral.
If you only publish once a month, you have no views. If you publish 10 or 20 articles a month, your success odds increase 10- or 20-fold.
Tim Denning, Ayodeji Awosika, Megan Holstein, and Zulie Rane. Medium is their jam. How are these authors alike? They're productive and consistent. They're prolific.
80% is publishable
Many writers battle perfectionism.
To succeed as a writer, you must publish often. You'll never publish if you aim for perfection.
Adopt the 80 percent-is-good-enough mindset to publish more. It sounds terrible, but it'll boost your writing success.
Your work won't be perfect. Always improve. Waiting for perfection before publishing will take a long time.
Second, readers are your true critics, not you. What you consider "not perfect" may be life-changing for the reader. Don't let perfectionism hinder the reader.
Don't let perfectionism hinder the reader. ou don't want to publish mediocre articles. When the article is 80% done, publish it. Don't spend hours editing. Realize it. Get feedback. Only this will work.
Make Your Headline Irresistible
We all judge books by their covers, despite the saying. And headlines. Readers, including yourself, judge articles by their titles. We use it to decide if an article is worth reading.
Make your headlines irresistible. Want more article views? Then, whether you like it or not, write an attractive article title.
Many high-quality articles are collecting dust because of dull, vague headlines. It didn't make the reader click.
As a writer, you must do more than produce quality content. You must also make people click on your article. This is a writer's job. How to create irresistible headlines:
Curiosity makes readers click. Here's a tempting example...
Example: What Women Actually Look For in a Guy, According to a Huge Study by Luba Sigaud
Use Numbers: Click-bait lists. I mean, which article would you click first? ‘Some ways to improve your productivity’ or ’17 ways to improve your productivity.’ Which would I click?
Example: 9 Uncomfortable Truths You Should Accept Early in Life by Sinem Günel
Most headlines are dull. If you want clicks, get 'sexy'. Buzzword-ify. Invoke emotion. Trendy words.
Example: 20 Realistic Micro-Habits To Live Better Every Day by Amardeep Parmar
Concise paragraphs
Our culture lacks focus. If your headline gets a click, keep paragraphs short to keep readers' attention.
Some writers use 6–8 lines per paragraph, but I prefer 3–4. Longer paragraphs lose readers' interest.
A writer should help the reader finish an article, in my opinion. I consider it a job requirement. You can't force readers to finish an article, but you can make it 'snackable'
Help readers finish an article with concise paragraphs, interesting subheadings, exciting images, clever formatting, or bold attention grabbers.
Work And Move On
I've learned over the years not to get too attached to my articles. Many writers report a strange phenomenon:
The articles you're most excited about usually bomb, while the ones you're not tend to do well.
This isn't always true, but I've noticed it in my own writing. My hopes for an article usually make it worse. The more objective I am, the better an article does.
Let go of a finished article. 40 or 40,000 views, whatever. Now let the article do its job. Onward. Next story. Start another project.
Disregard Haters
Online content creators will encounter haters, whether on YouTube, Instagram, or Medium. More views equal more haters. Fun, right?
As a web content creator, I learned:
Don't debate haters. Never.
It's a mistake I've made several times. It's tempting to prove haters wrong, but they'll always find a way to be 'right'. Your response is their fuel.
I smile and ignore hateful comments. I'm indifferent. I won't enter a negative environment. I have goals, money, and a life to build. "I'm not paid to argue," Drake once said.
Use Grammarly
Grammarly saves me as a non-native English speaker. You know Grammarly. It shows writing errors and makes article suggestions.
As a writer, you need Grammarly. I have a paid plan, but their free version works. It improved my writing greatly.
Put The Reader First, Not Yourself
Many writers write for themselves. They focus on themselves rather than the reader.
Ask yourself:
This article teaches what? How can they be entertained or educated?
Personal examples and experiences improve writing quality. Don't focus on yourself.
It's not about you, the content creator. Reader-focused. Putting the reader first will change things.
Extreme ownership: Stop blaming others
I remember writing a lot on Medium but not getting many views. I blamed Medium first. Poor algorithm. Poor publishing. All sucked.
Instead of looking at what I could do better, I blamed others.
When you blame others, you lose power. Owning your results gives you power.
As a content creator, you must take full responsibility. Extreme ownership means 100% responsibility for work and results.
You don’t blame others. You don't blame the economy, president, platform, founders, or audience. Instead, you look for ways to improve. Few people can do this.
Blaming is useless. Zero. Taking ownership of your work and results will help you progress. It makes you smarter, better, and stronger.
Instead of blaming others, you'll learn writing, marketing, copywriting, content creation, productivity, and other skills. Game-changer.

Glorin Santhosh
3 years ago
Start organizing your ideas by using The Second Brain.
Building A Second Brain helps us remember connections, ideas, inspirations, and insights. Using contemporary technologies and networks increases our intelligence.
This approach makes and preserves concepts. It's a straightforward, practical way to construct a second brain—a remote, centralized digital store for your knowledge and its sources.
How to build ‘The Second Brain’
Have you forgotten any brilliant ideas? What insights have you ignored?
We're pressured to read, listen, and watch informative content. Where did the data go? What happened?
Our brains can store few thoughts at once. Our brains aren't idea banks.
Building a Second Brain helps us remember thoughts, connections, and insights. Using digital technologies and networks expands our minds.
Ten Rules for Creating a Second Brain
1. Creative Stealing
Instead of starting from scratch, integrate other people's ideas with your own.
This way, you won't waste hours starting from scratch and can focus on achieving your goals.
Users of Notion can utilize and customize each other's templates.
2. The Habit of Capture
We must record every idea, concept, or piece of information that catches our attention since our minds are fragile.
When reading a book, listening to a podcast, or engaging in any other topic-related activity, save and use anything that resonates with you.
3. Recycle Your Ideas
Reusing our own ideas across projects might be advantageous since it helps us tie new information to what we already know and avoids us from starting a project with no ideas.
4. Projects Outside of Category
Instead of saving an idea in a folder, group it with documents for a project or activity.
If you want to be more productive, gather suggestions.
5. Burns Slowly
Even if you could finish a job, work, or activity if you focused on it, you shouldn't.
You'll get tired and can't advance many projects. It's easier to divide your routine into daily tasks.
Few hours of daily study is more productive and healthier than entire nights.
6. Begin with a surplus
Instead of starting with a blank sheet when tackling a new subject, utilise previous articles and research.
You may have read or saved related material.
7. Intermediate Packets
A bunch of essay facts.
You can utilize it as a document's section or paragraph for different tasks.
Memorize useful information so you can use it later.
8. You only know what you make
We can see, hear, and read about anything.
What matters is what we do with the information, whether that's summarizing it or writing about it.
9. Make it simpler for yourself in the future.
Create documents or files that your future self can easily understand. Use your own words, mind maps, or explanations.
10. Keep your thoughts flowing.
If you don't employ the knowledge in your second brain, it's useless.
Few people exercise despite knowing its benefits.
Conclusion:
You may continually move your activities and goals closer to completion by organizing and applying your information in a way that is results-focused.
Profit from the information economy's explosive growth by turning your specialized knowledge into cash.
Make up original patterns and linkages between topics.
You may reduce stress and information overload by appropriately curating and managing your personal information stream.
Learn how to apply your significant experience and specific knowledge to a new job, business, or profession.
Without having to adhere to tight, time-consuming constraints, accumulate a body of relevant knowledge and concepts over time.
Take advantage of all the learning materials that are at your disposal, including podcasts, online courses, webinars, books, and articles.
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Edward Williams
3 years ago
I currently manage 4 profitable online companies. I find all the generic advice and garbage courses very frustrating. The only advice you need is this.
This is for young entrepreneurs, especially in tech.
People give useless success advice on TikTok and Reddit. Early risers, bookworms, etc. Entrepreneurship courses. Work hard and hustle.
False. These aren't successful traits.
I mean, organization is good. As someone who founded several businesses and now works at a VC firm, I find these tips to be clichés.
Based on founding four successful businesses and working with other successful firms, here's my best actionable advice:
1. Choose a sector or a niche and become an expert in it.
This is more generic than my next tip, but it's a must-do that's often overlooked. Become an expert in the industry or niche you want to enter. Discover everything.
Buy (future) competitors' products. Understand consumers' pain points. Market-test. Target keyword combos. Learn technical details.
The most successful businesses I've worked with were all formed by 9-5 employees. They knew the industry's pain points. They started a business targeting these pain points.
2. Choose a niche or industry crossroads to target.
How do you choose an industry or niche? What if your industry is too competitive?
List your skills and hobbies. Randomness is fine. Find an intersection between two interests or skills.
Say you build websites well. You like cars.
Web design is a *very* competitive industry. Cars and web design?
Instead of web design, target car dealers and mechanics. Build a few fake demo auto mechanic websites, then cold call shops with poor websites. Verticalize.
I've noticed a pattern:
Person works in a particular industry for a corporation.
Person gains expertise in the relevant industry.
Person quits their job and launches a small business to address a problem that their former employer was unwilling to address.
I originally posted this on Reddit and it seemed to have taken off so I decided to share it with you all.
Focus on the product. When someone buys from you, you convince them the product's value exceeds the price. It's not fair and favors the buyer.
Creating a superior product or service will win. Narrowing this helps you outcompete others.
You may be their only (lucky) option.

shivsak
3 years ago
A visual exploration of the REAL use cases for NFTs in the Future
In this essay, I studied REAL NFT use examples and their potential uses.
Knowledge of the Hype Cycle
Gartner's Hype Cycle.
It proposes 5 phases for disruptive technology.
1. Technology Trigger: the emergence of potentially disruptive technology.
2. Peak of Inflated Expectations: Early publicity creates hype. (Ex: 2021 Bubble)
3. Trough of Disillusionment: Early projects fail to deliver on promises and the public loses interest. I suspect NFTs are somewhere around this trough of disillusionment now.
4. Enlightenment slope: The tech shows successful use cases.
5. Plateau of Productivity: Mainstream adoption has arrived and broader market applications have proven themselves. Here’s a more detailed visual of the Gartner Hype Cycle from Wikipedia.
In the speculative NFT bubble of 2021, @beeple sold Everydays: the First 5000 Days for $69 MILLION in 2021's NFT bubble.
@nbatopshot sold millions in video collectibles.
This is when expectations peaked.
Let's examine NFTs' real-world applications.
Watch this video if you're unfamiliar with NFTs.
Online Art
Most people think NFTs are rich people buying worthless JPEGs and MP4s.
Digital artwork and collectibles are revolutionary for creators and enthusiasts.
NFT Profile Pictures
You might also have seen NFT profile pictures on Twitter.
My profile picture is an NFT I coined with @skogards factoria app, which helps me avoid bogus accounts.
Profile pictures are a good beginning point because they're unique and clearly yours.
NFTs are a way to represent proof-of-ownership. It’s easier to prove ownership of digital assets than physical assets, which is why artwork and pfps are the first use cases.
They can do much more.
NFTs can represent anything with a unique owner and digital ownership certificate. Domains and usernames.
Usernames & Domains
@unstoppableweb, @ensdomains, @rarible sell NFT domains.
NFT domains are transferable, which is a benefit.
Godaddy and other web2 providers have difficult-to-transfer domains. Domains are often leased instead of purchased.
Tickets
NFTs can also represent concert tickets and event passes.
There's a limited number, and entry requires proof.
NFTs can eliminate the problem of forgery and make it easy to verify authenticity and ownership.
NFT tickets can be traded on the secondary market, which allows for:
marketplaces that are uniform and offer the seller and buyer security (currently, tickets are traded on inefficient markets like FB & craigslist)
unbiased pricing
Payment of royalties to the creator
4. Historical ticket ownership data implies performers can airdrop future passes, discounts, etc.
5. NFT passes can be a fandom badge.
The $30B+ online tickets business is increasing fast.
NFT-based ticketing projects:
Gaming Assets
NFTs also help in-game assets.
Imagine someone spending five years collecting a rare in-game blade, then outgrowing or quitting the game. Gamers value that collectible.
The gaming industry is expected to make $200 BILLION in revenue this year, a significant portion of which comes from in-game purchases.
Royalties on secondary market trading of gaming assets encourage gaming businesses to develop NFT-based ecosystems.
Digital assets are the start. On-chain NFTs can represent real-world assets effectively.
Real estate has a unique owner and requires ownership confirmation.
Real Estate
Tokenizing property has many benefits.
1. Can be fractionalized to increase access, liquidity
2. Can be collateralized to increase capital efficiency and access to loans backed by an on-chain asset
3. Allows investors to diversify or make bets on specific neighborhoods, towns or cities +++
I've written about this thought exercise before.
I made an animated video explaining this.
We've just explored NFTs for transferable assets. But what about non-transferrable NFTs?
SBTs are Soul-Bound Tokens. Vitalik Buterin (Ethereum co-founder) blogged about this.
NFTs are basically verifiable digital certificates.
Diplomas & Degrees
That fits Degrees & Diplomas. These shouldn't be marketable, thus they can be non-transferable SBTs.
Anyone can verify the legitimacy of on-chain credentials, degrees, abilities, and achievements.
The same goes for other awards.
For example, LinkedIn could give you a verified checkmark for your degree or skills.
Authenticity Protection
NFTs can also safeguard against counterfeiting.
Counterfeiting is the largest criminal enterprise in the world, estimated to be $2 TRILLION a year and growing.
Anti-counterfeit tech is valuable.
This is one of @ORIGYNTech's projects.
Identity
Identity theft/verification is another real-world problem NFTs can handle.
In the US, 15 million+ citizens face identity theft every year, suffering damages of over $50 billion a year.
This isn't surprising considering all you need for US identity theft is a 9-digit number handed around in emails, documents, on the phone, etc.
Identity NFTs can fix this.
NFTs are one-of-a-kind and unforgeable.
NFTs offer a universal standard.
NFTs are simple to verify.
SBTs, or non-transferrable NFTs, are tied to a particular wallet.
In the event of wallet loss or theft, NFTs may be revoked.
This could be one of the biggest use cases for NFTs.
Imagine a global identity standard that is standardized across countries, cannot be forged or stolen, is digital, easy to verify, and protects your private details.
Since your identity is more than your government ID, you may have many NFTs.
@0xPolygon and @civickey are developing on-chain identity.
Memberships
NFTs can authenticate digital and physical memberships.
Voting
NFT IDs can verify votes.
If you remember 2020, you'll know why this is an issue.
Online voting's ease can boost turnout.
Informational property
NFTs can protect IP.
This can earn creators royalties.
NFTs have 2 important properties:
Verifiability IP ownership is unambiguously stated and publicly verified.
Platforms that enable authors to receive royalties on their IP can enter the market thanks to standardization.
Content Rights
Monetization without copyrighting = more opportunities for everyone.
This works well with the music.
Spotify and Apple Music pay creators very little.
Crowdfunding
Creators can crowdfund with NFTs.
NFTs can represent future royalties for investors.
This is particularly useful for fields where people who are not in the top 1% can’t make money. (Example: Professional sports players)
Mirror.xyz allows blog-based crowdfunding.
Financial NFTs
This introduces Financial NFTs (fNFTs). Unique financial contracts abound.
Examples:
a person's collection of assets (unique portfolio)
A loan contract that has been partially repaid with a lender
temporal tokens (ex: veCRV)
Legal Agreements
Not just financial contracts.
NFT can represent any legal contract or document.
Messages & Emails
What about other agreements? Verbal agreements through emails and messages are likewise unique, but they're easily lost and fabricated.
Health Records
Medical records or prescriptions are another types of documentation that has to be verified but isn't.
Medical NFT examples:
Immunization records
Covid test outcomes
Prescriptions
health issues that may affect one's identity
Observations made via health sensors
Existing systems of proof by paper / PDF have photoshop-risk.
I tried to include most use scenarios, but this is just the beginning.
NFTs have many innovative uses.
For example: @ShaanVP minted an NFT called “5 Minutes of Fame” 👇
Here are 2 Twitter threads about NFTs:
This piece of gold by @chriscantino
2. This conversation between @punk6529 and @RaoulGMI on @RealVision“The World According to @punk6529”
If you're wondering why NFTs are better than web2 databases for these use scenarios, see this Twitter thread I wrote:
If you liked this, please share it.

Farhan Ali Khan
2 years ago
Introduction to Zero-Knowledge Proofs: The Art of Proving Without Revealing
Zero-Knowledge Proofs for Beginners
Published here originally.
Introduction
I Spy—did you play as a kid? One person chose a room object, and the other had to guess it by answering yes or no questions. I Spy was entertaining, but did you know it could teach you cryptography?
Zero Knowledge Proofs let you show your pal you know what they picked without exposing how. Math replaces electronics in this secret spy mission. Zero-knowledge proofs (ZKPs) are sophisticated cryptographic tools that allow one party to prove they have particular knowledge without revealing it. This proves identification and ownership, secures financial transactions, and more. This article explains zero-knowledge proofs and provides examples to help you comprehend this powerful technology.
What is a Proof of Zero Knowledge?
Zero-knowledge proofs prove a proposition is true without revealing any other information. This lets the prover show the verifier that they know a fact without revealing it. So, a zero-knowledge proof is like a magician's trick: the prover proves they know something without revealing how or what. Complex mathematical procedures create a proof the verifier can verify.
Want to find an easy way to test it out? Try out with tis awesome example! ZK Crush
Describe it as if I'm 5
Alex and Jack found a cave with a center entrance that only opens when someone knows the secret. Alex knows how to open the cave door and wants to show Jack without telling him.
Alex and Jack name both pathways (let’s call them paths A and B).
In the first phase, Alex is already inside the cave and is free to select either path, in this case A or B.
As Alex made his decision, Jack entered the cave and asked him to exit from the B path.
Jack can confirm that Alex really does know the key to open the door because he came out for the B path and used it.
To conclude, Alex and Jack repeat:
Alex walks into the cave.
Alex follows a random route.
Jack walks into the cave.
Alex is asked to follow a random route by Jack.
Alex follows Jack's advice and heads back that way.
What is a Zero Knowledge Proof?
At a high level, the aim is to construct a secure and confidential conversation between the prover and the verifier, where the prover convinces the verifier that they have the requisite information without disclosing it. The prover and verifier exchange messages and calculate in each round of the dialogue.
The prover uses their knowledge to prove they have the information the verifier wants during these rounds. The verifier can verify the prover's truthfulness without learning more by checking the proof's mathematical statement or computation.
Zero knowledge proofs use advanced mathematical procedures and cryptography methods to secure communication. These methods ensure the evidence is authentic while preventing the prover from creating a phony proof or the verifier from extracting unnecessary information.
ZK proofs require examples to grasp. Before the examples, there are some preconditions.
Criteria for Proofs of Zero Knowledge
Completeness: If the proposition being proved is true, then an honest prover will persuade an honest verifier that it is true.
Soundness: If the proposition being proved is untrue, no dishonest prover can persuade a sincere verifier that it is true.
Zero-knowledge: The verifier only realizes that the proposition being proved is true. In other words, the proof only establishes the veracity of the proposition being supported and nothing more.
The zero-knowledge condition is crucial. Zero-knowledge proofs show only the secret's veracity. The verifier shouldn't know the secret's value or other details.
Example after example after example
To illustrate, take a zero-knowledge proof with several examples:
Initial Password Verification Example
You want to confirm you know a password or secret phrase without revealing it.
Use a zero-knowledge proof:
You and the verifier settle on a mathematical conundrum or issue, such as figuring out a big number's components.
The puzzle or problem is then solved using the hidden knowledge that you have learned. You may, for instance, utilize your understanding of the password to determine the components of a particular number.
You provide your answer to the verifier, who can assess its accuracy without knowing anything about your private data.
You go through this process several times with various riddles or issues to persuade the verifier that you actually are aware of the secret knowledge.
You solved the mathematical puzzles or problems, proving to the verifier that you know the hidden information. The proof is zero-knowledge since the verifier only sees puzzle solutions, not the secret information.
In this scenario, the mathematical challenge or problem represents the secret, and solving it proves you know it. The evidence does not expose the secret, and the verifier just learns that you know it.
My simple example meets the zero-knowledge proof conditions:
Completeness: If you actually know the hidden information, you will be able to solve the mathematical puzzles or problems, hence the proof is conclusive.
Soundness: The proof is sound because the verifier can use a publicly known algorithm to confirm that your answer to the mathematical conundrum or difficulty is accurate.
Zero-knowledge: The proof is zero-knowledge because all the verifier learns is that you are aware of the confidential information. Beyond the fact that you are aware of it, the verifier does not learn anything about the secret information itself, such as the password or the factors of the number. As a result, the proof does not provide any new insights into the secret.
Explanation #2: Toss a coin.
One coin is biased to come up heads more often than tails, while the other is fair (i.e., comes up heads and tails with equal probability). You know which coin is which, but you want to show a friend you can tell them apart without telling them.
Use a zero-knowledge proof:
One of the two coins is chosen at random, and you secretly flip it more than once.
You show your pal the following series of coin flips without revealing which coin you actually flipped.
Next, as one of the two coins is flipped in front of you, your friend asks you to tell which one it is.
Then, without revealing which coin is which, you can use your understanding of the secret order of coin flips to determine which coin your friend flipped.
To persuade your friend that you can actually differentiate between the coins, you repeat this process multiple times using various secret coin-flipping sequences.
In this example, the series of coin flips represents the knowledge of biased and fair coins. You can prove you know which coin is which without revealing which is biased or fair by employing a different secret sequence of coin flips for each round.
The evidence is zero-knowledge since your friend does not learn anything about which coin is biased and which is fair other than that you can tell them differently. The proof does not indicate which coin you flipped or how many times you flipped it.
The coin-flipping example meets zero-knowledge proof requirements:
Completeness: If you actually know which coin is biased and which is fair, you should be able to distinguish between them based on the order of coin flips, and your friend should be persuaded that you can.
Soundness: Your friend may confirm that you are correctly recognizing the coins by flipping one of them in front of you and validating your answer, thus the proof is sound in that regard. Because of this, your acquaintance can be sure that you are not just speculating or picking a coin at random.
Zero-knowledge: The argument is that your friend has no idea which coin is biased and which is fair beyond your ability to distinguish between them. Your friend is not made aware of the coin you used to make your decision or the order in which you flipped the coins. Consequently, except from letting you know which coin is biased and which is fair, the proof does not give any additional information about the coins themselves.
Figure out the prime number in Example #3.
You want to prove to a friend that you know their product n=pq without revealing p and q. Zero-knowledge proof?
Use a variant of the RSA algorithm. Method:
You determine a new number s = r2 mod n by computing a random number r.
You email your friend s and a declaration that you are aware of the values of p and q necessary for n to equal pq.
A random number (either 0 or 1) is selected by your friend and sent to you.
You send your friend r as evidence that you are aware of the values of p and q if e=0. You calculate and communicate your friend's s/r if e=1.
Without knowing the values of p and q, your friend can confirm that you know p and q (in the case where e=0) or that s/r is a legitimate square root of s mod n (in the situation where e=1).
This is a zero-knowledge proof since your friend learns nothing about p and q other than their product is n and your ability to verify it without exposing any other information. You can prove that you know p and q by sending r or by computing s/r and sending that instead (if e=1), and your friend can verify that you know p and q or that s/r is a valid square root of s mod n without learning anything else about their values. This meets the conditions of completeness, soundness, and zero-knowledge.
Zero-knowledge proofs satisfy the following:
Completeness: The prover can demonstrate this to the verifier by computing q = n/p and sending both p and q to the verifier. The prover also knows a prime number p and a factorization of n as p*q.
Soundness: Since it is impossible to identify any pair of numbers that correctly factorize n without being aware of its prime factors, the prover is unable to demonstrate knowledge of any p and q that do not do so.
Zero knowledge: The prover only admits that they are aware of a prime number p and its associated factor q, which is already known to the verifier. This is the extent of their knowledge of the prime factors of n. As a result, the prover does not provide any new details regarding n's prime factors.
Types of Proofs of Zero Knowledge
Each zero-knowledge proof has pros and cons. Most zero-knowledge proofs are:
Interactive Zero Knowledge Proofs: The prover and the verifier work together to establish the proof in this sort of zero-knowledge proof. The verifier disputes the prover's assertions after receiving a sequence of messages from the prover. When the evidence has been established, the prover will employ these new problems to generate additional responses.
Non-Interactive Zero Knowledge Proofs: For this kind of zero-knowledge proof, the prover and verifier just need to exchange a single message. Without further interaction between the two parties, the proof is established.
A statistical zero-knowledge proof is one in which the conclusion is reached with a high degree of probability but not with certainty. This indicates that there is a remote possibility that the proof is false, but that this possibility is so remote as to be unimportant.
Succinct Non-Interactive Argument of Knowledge (SNARKs): SNARKs are an extremely effective and scalable form of zero-knowledge proof. They are utilized in many different applications, such as machine learning, blockchain technology, and more. Similar to other zero-knowledge proof techniques, SNARKs enable one party—the prover—to demonstrate to another—the verifier—that they are aware of a specific piece of information without disclosing any more information about that information.
The main characteristic of SNARKs is their succinctness, which refers to the fact that the size of the proof is substantially smaller than the amount of the original data being proved. Because to its high efficiency and scalability, SNARKs can be used in a wide range of applications, such as machine learning, blockchain technology, and more.
Uses for Zero Knowledge Proofs
ZKP applications include:
Verifying Identity ZKPs can be used to verify your identity without disclosing any personal information. This has uses in access control, digital signatures, and online authentication.
Proof of Ownership ZKPs can be used to demonstrate ownership of a certain asset without divulging any details about the asset itself. This has uses for protecting intellectual property, managing supply chains, and owning digital assets.
Financial Exchanges Without disclosing any details about the transaction itself, ZKPs can be used to validate financial transactions. Cryptocurrency, internet payments, and other digital financial transactions can all use this.
By enabling parties to make calculations on the data without disclosing the data itself, Data Privacy ZKPs can be used to preserve the privacy of sensitive data. Applications for this can be found in the financial, healthcare, and other sectors that handle sensitive data.
By enabling voters to confirm that their vote was counted without disclosing how they voted, elections ZKPs can be used to ensure the integrity of elections. This is applicable to electronic voting, including internet voting.
Cryptography Modern cryptography's ZKPs are a potent instrument that enable secure communication and authentication. This can be used for encrypted messaging and other purposes in the business sector as well as for military and intelligence operations.
Proofs of Zero Knowledge and Compliance
Kubernetes and regulatory compliance use ZKPs in many ways. Examples:
Security for Kubernetes ZKPs offer a mechanism to authenticate nodes without disclosing any sensitive information, enhancing the security of Kubernetes clusters. ZKPs, for instance, can be used to verify, without disclosing the specifics of the program, that the nodes in a Kubernetes cluster are running permitted software.
Compliance Inspection Without disclosing any sensitive information, ZKPs can be used to demonstrate compliance with rules like the GDPR, HIPAA, and PCI DSS. ZKPs, for instance, can be used to demonstrate that data has been encrypted and stored securely without divulging the specifics of the mechanism employed for either encryption or storage.
Access Management Without disclosing any private data, ZKPs can be used to offer safe access control to Kubernetes resources. ZKPs can be used, for instance, to demonstrate that a user has the necessary permissions to access a particular Kubernetes resource without disclosing the details of those permissions.
Safe Data Exchange Without disclosing any sensitive information, ZKPs can be used to securely transmit data between Kubernetes clusters or between several businesses. ZKPs, for instance, can be used to demonstrate the sharing of a specific piece of data between two parties without disclosing the details of the data itself.
Kubernetes deployments audited Without disclosing the specifics of the deployment or the data being processed, ZKPs can be used to demonstrate that Kubernetes deployments are working as planned. This can be helpful for auditing purposes and for ensuring that Kubernetes deployments are operating as planned.
ZKPs preserve data and maintain regulatory compliance by letting parties prove things without revealing sensitive information. ZKPs will be used more in Kubernetes as it grows.