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INTΞGRITY team

INTΞGRITY team

3 years ago

Terms of Service

(Edited)

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The Secret Developer

The Secret Developer

3 years ago

What Elon Musk's Take on Bitcoin Teaches Us

Photo by Thought Catalog on Unsplash

Tesla Q2 earnings revealed unethical dealings.

As of end of Q2, we have converted approximately 75% of our Bitcoin purchases into fiat currency

That’s OK then, isn’t it?

Elon Musk, Tesla's CEO, is now untrustworthy.

It’s not about infidelity, it’s about doing the right thing

And what can we learn?

The Opening Remark

Musk tweets on his (and Tesla's) future goals.

Don’t worry, I’m not expecting you to read it.

What's crucial?

Tesla will not be selling any Bitcoin

The Situation as It Develops

2021 Tesla spent $1.5 billion on Bitcoin. In 2022, they sold 75% of the ownership for $946 million.

That’s a little bit of a waste of money, right?

Musk predicted the reverse would happen.

What gives? Why would someone say one thing, then do the polar opposite?

The Justification For Change

Tesla's public. They must follow regulations. When a corporation trades, they must record what happens.

At least this keeps Musk some way in line.

We now understand Musk and Tesla's actions.

Musk claimed that Tesla sold bitcoins to maximize cash given the unpredictability of COVID lockdowns in China.

Tesla may buy Bitcoin in the future, he said.

That’s fine then. He’s not knocking the NFT at least.

Tesla has moved investments into cash due to China lockdowns.

That doesn’t explain the 180° though

Musk's Tweet isn't company policy. Therefore, the CEO's change of heart reflects the organization. Look.

That's okay, since

Leaders alter their positions when circumstances change.

Leaders must adapt to their surroundings. This isn't embarrassing; it's a leadership prerequisite.

Yet

The Man

Someone stated if you're not in the office full-time, you need to explain yourself. He doesn't treat his employees like adults.

This is the individual mentioned in the quote.

If Elon was not happy, you knew it. Things could get nasty

also, He fired his helper for requesting a raise.

This public persona isn't good. Without mentioning his disastrous performances on Twitter (pedo dude) or Joe Rogan. This image sums up the odd Podcast appearance:

Which describes the man.

I wouldn’t trust this guy to feed a cat

What we can discover

When Musk's company bet on Bitcoin, what happened?

Exactly what we would expect

The company's position altered without the CEO's awareness. He seems uncaring.

This article is about how something happened, not what happened. Change of thinking requires contrition.

This situation is about a lack of respect- although you might argue that followers on Twitter don’t deserve any

Tesla fans call the sale a great move.

It's absurd.

As you were, then.

Conclusion

Good luck if you gamble.

When they pay off, congrats!

When wrong, admit it.

  • You must take chances if you want to succeed.

  • Risks don't always pay off.

Mr. Musk lacks insight and charisma to combine these two attributes.

I don’t like him, if you hadn’t figured.

It’s probably all of the cheating.

INTΞGRITY team

INTΞGRITY team

3 years ago

Privacy Policy

Effective date: August 31, 2022

This Privacy Statement describes how INTΞGRITY ("we," or "us") collects, uses, and discloses your personal information. This Privacy Statement applies when you use our websites, mobile applications, and other online products and services that link to this Privacy Statement (collectively, our "Services"), communicate with our customer care team, interact with us on social media, or otherwise interact with us.

This Privacy Policy may be modified from time to time. If we make modifications, we will update the date at the top of this policy and, in certain instances, we may give you extra notice (such as adding a statement to our website or providing you with a notification). We encourage you to routinely review this Privacy Statement to remain informed about our information practices and available options.

INFORMATION COLLECTION

The Data You Provide to Us

We collect information that you directly supply to us. When you register an account, fill out a form, submit or post material through our Services, contact us via third-party platforms, request customer assistance, or otherwise communicate with us, you provide us with information directly. We may collect your name, display name, username, bio, email address, company information, your published content, including your avatar image, photos, posts, responses, and any other information you voluntarily give.

In certain instances, we may collect the information you submit about third parties. We will use your information to fulfill your request and will not send emails to your contacts unrelated to your request unless they separately opt to receive such communications or connect with us in some other way.

We do not collect payment details via the Services.

Automatically Collected Information When You Communicate with Us

In certain cases, we automatically collect the following information:

We gather data regarding your behavior on our Services, such as your reading history and when you share links, follow users, highlight posts, and like posts.

Device and Usage Information: We gather information about the device and network you use to access our Services, such as your hardware model, operating system version, mobile network, IP address, unique device identifiers, browser type, and app version. We also collect information regarding your activities on our Services, including access times, pages viewed, links clicked, and the page you visited immediately prior to accessing our Services.

Information Obtained Through Cookies and Comparable Tracking Technologies: We collect information about you through tracking technologies including cookies and web beacons. Cookies are little data files kept on your computer's hard disk or device's memory that assist us in enhancing our Services and your experience, determining which areas and features of our Services are the most popular, and tracking the number of visitors. Web beacons (also known as "pixel tags" or "clear GIFs") are electronic pictures that we employ on our Services and in our communications to assist with cookie delivery, session tracking, and usage analysis. We also partner with third-party analytics providers who use cookies, web beacons, device identifiers, and other technologies to collect information regarding your use of our Services and other websites and applications, including your IP address, web browser, mobile network information, pages viewed, time spent on pages or in mobile apps, and links clicked. INTΞGRITY and others may use your information to, among other things, analyze and track data, evaluate the popularity of certain content, present content tailored to your interests on our Services, and better comprehend your online activities. See Your Options for additional information on cookies and how to disable them.

Information Obtained from Outside Sources

We acquire information from external sources. We may collect information about you, for instance, through social networks, accounting service providers, and data analytics service providers. In addition, if you create or log into your INTΞGRITY account via a third-party platform (such as Apple, Facebook, Google, or Twitter), we will have access to certain information from that platform, including your name, lists of friends or followers, birthday, and profile picture, in accordance with the authorization procedures determined by that platform.

We may derive information about you or make assumptions based on the data we gather. We may deduce your location based on your IP address or your reading interests based on your reading history, for instance.

USAGE OF INFORMATION

We use the information we collect to deliver, maintain, and enhance our Services, including publishing and distributing user-generated content, and customizing the posts you see. Additionally, we utilize collected information to: create and administer your INTΞGRITY account;

Send transaction-related information, including confirmations, receipts, and user satisfaction surveys;

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Respond to your comments and queries and offer support;

Communicate with you about new INTΞGRITY content, goods, services, and features, as well as other news and information that we believe may be of interest to you (see Your Choices for details on how to opt out of these communications at any time);

Monitor and evaluate usage, trends, and activities associated with our Services;

Detect, investigate, and prevent security incidents and other harmful, misleading, fraudulent, or illegal conduct, and safeguard INTΞGRITY’s and others' rights and property;

Comply with our legal and financial requirements; and Carry out any other purpose specified to you at the time the information was obtained.

SHARING OF INFORMATION

We share personal information where required by law or as otherwise specified in this policy:

Personal information is shared with other Service users. If you use our Services to publish content, make comments, or send private messages, for instance, certain information about you, such as your name, photo, bio, and other account information you may supply, as well as information about your activity on our Services, will be available to others (e.g., your followers and who you follow, recent posts, likes, highlights, and responses).

We share personal information with vendors, service providers, and consultants who require access to such information to perform services on our behalf, such as companies that assist us with web hosting, storage, and other infrastructure, analytics, fraud prevention, and security, customer service, communications, and marketing.

We may release personally identifiable information if we think that doing so is in line with or required by any relevant law or legal process, including authorized demands from public authorities to meet national security or law enforcement obligations. If we intend to disclose your personal information in response to a court order, we will provide you with prior notice so that you may contest the disclosure (for example, by seeking court intervention), unless we are prohibited by law or believe that doing so could endanger others or lead to illegal conduct. We shall object to inappropriate legal requests for information regarding users of our Services.

If we believe your actions are inconsistent with our user agreements or policies, if we suspect you have violated the law, or if we believe it is necessary to defend the rights, property, and safety of INTΞGRITY, our users, the public, or others, we may disclose your personal information.

We share personal information with our attorneys and other professional advisers when necessary for obtaining counsel or otherwise protecting and managing our business interests.

We may disclose personal information in conjunction with or during talks for any merger, sale of corporate assets, financing, or purchase of all or part of our business by another firm.

Personal information is transferred between and among INTΞGRITY, its current and future parents, affiliates, subsidiaries, and other companies under common ownership and management.

We will only share your personal information with your permission or at your instruction.

We also disclose aggregated or anonymized data that cannot be used to identify you.

IMPLEMENTATIONS FROM THIRD PARTIES

Some of the content shown on our Services is not hosted by INTΞGRITY. Users are able to publish content hosted by a third party but embedded in our pages ("Embed"). When you interact with an Embed, it can send information to the hosting third party just as if you had visited the hosting third party's website directly. When you load an INTΞGRITY post page with a YouTube video Embed and view the video, for instance, YouTube collects information about your behavior, such as your IP address and how much of the video you watch. INTΞGRITY has no control over the information that third parties acquire via Embeds or what they do with it. This Privacy Statement does not apply to data gathered via Embeds. Before interacting with the Embed, it is recommended that you review the privacy policy of the third party hosting the Embed, which governs any information the Embed gathers.

INFORMATION TRANSFER TO THE UNITED STATES AND OTHER NATIONS

INTΞGRITY’s headquarters are located in the United States, and we have operations and service suppliers in other nations. Therefore, we and our service providers may transmit, store, or access your personal information in jurisdictions that may not provide a similar degree of data protection to your home jurisdiction. For instance, we transfer personal data to Amazon Web Services, one of our service providers that processes personal information on our behalf in numerous data centers throughout the world, including those indicated above. We shall take measures to guarantee that your personal information is adequately protected in the jurisdictions where it is processed.

YOUR SETTINGS

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We may send push notifications to your mobile device with your permission. You can cancel these messages at any time by modifying your mobile device's notification settings.

YOUR CALIFORNIA PRIVACY RIGHTS

The California Consumer Privacy Act, or "CCPA" (Cal. Civ. Code 1798.100 et seq. ), grants California residents some rights regarding their personal data. If you are a California resident, you are subject to this clause.

We have collected the following categories of personal information over the past year: identifiers, commercial information, internet or other electronic network activity information, and conclusions. Please refer to the section titled "Collection of Information" for specifics regarding the data points we gather and the sorts of sources from which we acquire them. We collect personal information for the business and marketing purposes outlined in the section on Use of Information. In the past 12 months, we have shared the following types of personal information to the following groups of recipients for business purposes:

Category of Personal Information: Identifiers
Categories of Recipients: Analytics Providers, Communication Providers, Custom Service Providers, Fraud Prevention and Security Providers, Infrastructure Providers, Marketing Providers, Payment Processors

Category of Personal Information: Commercial Information
Categories of Recipients: Analytics Providers, Infrastructure Providers, Payment Processors

Category of Personal Information: Internet or Other Electronic Network Activity Information
Categories of Recipients: Analytics Providers, Infrastructure Providers

Category of Personal Information: Inferences
Categories of Recipients: Analytics Providers, Infrastructure Providers

INTΞGRITY does not sell personally identifiable information.

You have the right, subject to certain limitations: (1) to request more information about the categories and specific pieces of personal information we collect, use, and disclose about you; (2) to request the deletion of your personal information; (3) to opt out of any future sales of your personal information; and (4) to not be discriminated against for exercising these rights. You may submit these requests by email to hello@int3grity.com. We shall not treat you differently if you exercise your rights under the CCPA.

If we receive your request from an authorized agent, we may request proof that you have granted the agent a valid power of attorney or that the agent otherwise possesses valid written authorization to submit requests on your behalf. This may involve requiring identity verification. Please contact us if you are an authorized agent wishing to make a request.

ADDITIONAL DISCLOSURES FOR INDIVIDUALS IN EUROPE

This section applies to you if you are based in the European Economic Area ("EEA"), the United Kingdom, or Switzerland and have specific rights and safeguards regarding the processing of your personal data under relevant law.

Legal Justification for Processing

We will process your personal information based on the following legal grounds:

To fulfill our obligations under our agreement with you (e.g., providing the products and services you requested).

When we have a legitimate interest in processing your personal information to operate our business or to safeguard our legitimate interests, we will do so (e.g., to provide, maintain, and improve our products and services, conduct data analytics, and communicate with you).

To meet our legal responsibilities (e.g., to maintain a record of your consents and track those who have opted out of non-administrative communications).

If we have your permission to do so (e.g., when you opt in to receive non-administrative communications from us). When consent is the legal basis for our processing of your personal information, you may at any time withdraw your consent.

Data Retention

We retain the personal information associated with your account so long as your account is active. If you close your account, your account information will be deleted within 14 days. We retain other personal data for as long as is required to fulfill the objectives for which it was obtained and for other legitimate business purposes, such as to meet our legal, regulatory, or other compliance responsibilities.

Data Access Requests

You have the right to request access to the personal data we hold on you and to get your data in a portable format, to request that your personal data be rectified or erased, and to object to or request that we restrict particular processing, subject to certain limitations. To assert your legal rights:

If you sign up for an INTΞGRITY account, you can request an export of your personal information at any time via the Settings website, or by visiting Settings and selecting Account from inside our app.

You can edit the information linked with your account on the Settings website, or by navigating to Settings and then Account in our app, and the Customize Your Interests page.

You may withdraw consent at any time by deleting your account via the Settings page, or by visiting Settings and then selecting Account within our app (except to the extent INTΞGRITY is prevented by law from deleting your information).

You may object to the use of your personal information at any time by contacting hello@int3grity.com.

Questions or Complaints

If we are unable to settle your concern over our processing of personal data, you have the right to file a complaint with the Data Protection Authority in your country. The links below provide access to the contact information for your Data Protection Authority.

For people in the EEA, please visit https://edpb.europa.eu/about-edpb/board/members en.

For persons in the United Kingdom, please visit https://ico.org.uk/global/contact-us.

For people in Switzerland: https://www.edoeb.admin.ch/edoeb/en/home/the-fdpic/contact.html

CONTACT US

Please contact us at hello@int3grity.com if you have any queries regarding this Privacy Statement.

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Matthew Royse

Matthew Royse

3 years ago

Ten words and phrases to avoid in presentations

Don't say this in public!

Want to wow your audience? Want to deliver a successful presentation? Do you want practical takeaways from your presentation?

Then avoid these phrases.

Public speaking is difficult. People fear public speaking, according to research.

"Public speaking is people's biggest fear, according to studies. Number two is death. "Sounds right?" — Comedian Jerry Seinfeld

Yes, public speaking is scary. These words and phrases will make your presentation harder.

Using unnecessary words can weaken your message.

You may have prepared well for your presentation and feel confident. During your presentation, you may freeze up. You may blank or forget.

Effective delivery is even more important than skillful public speaking.

Here are 10 presentation pitfalls.

1. I or Me

Presentations are about the audience, not you. Replace "I or me" with "you, we, or us." Focus on your audience. Reward them with expertise and intriguing views about your issue.

Serve your audience actionable items during your presentation, and you'll do well. Your audience will have a harder time listening and engaging if you're self-centered.

2. Sorry if/for

Your presentation is fine. These phrases make you sound insecure and unprepared. Don't pressure the audience to tell you not to apologize. Your audience should focus on your presentation and essential messages.

3. Excuse the Eye Chart, or This slide's busy

Why add this slide if you're utilizing these phrases? If you don't like this slide, change it before presenting. After the presentation, extra data can be provided.

Don't apologize for unclear slides. Hide or delete a broken PowerPoint slide. If so, divide your message into multiple slides or remove the "business" slide.

4. Sorry I'm Nervous

Some think expressing yourself will win over the audience. Nerves are horrible. Even public speakers are nervous.

Nerves aren't noticeable. What's the point? Let the audience judge your nervousness. Please don't make this obvious.

5. I'm not a speaker or I've never done this before.

These phrases destroy credibility. People won't listen and will check their phones or computers.

Why present if you use these phrases?

Good speakers aren't necessarily public speakers. Be confident in what you say. When you're confident, many people will like your presentation.

6. Our Key Differentiators Are

Overused term. It's widely utilized. This seems "salesy," and your "important differentiators" are probably like a competitor's.

This statement has been diluted; say, "what makes us different is..."

7. Next Slide

Many slides or stories? Your presentation needs transitions. They help your viewers understand your argument.

You didn't transition well when you said "next slide." Think about organic transitions.

8. I Didn’t Have Enough Time, or I’m Running Out of Time

The phrase "I didn't have enough time" implies that you didn't care about your presentation. This shows the viewers you rushed and didn't care.

Saying "I'm out of time" shows poor time management. It means you didn't rehearse enough and plan your time well.

9. I've been asked to speak on

This phrase is used to emphasize your importance. This phrase conveys conceit.

When you say this sentence, you tell others you're intelligent, skilled, and appealing. Don't utilize this term; focus on your topic.

10. Moving On, or All I Have

These phrases don't consider your transitions or presentation's end. People recall a presentation's beginning and end.

How you end your discussion affects how people remember it. You must end your presentation strongly and use natural transitions.


Conclusion

10 phrases to avoid in a presentation. I or me, sorry if or sorry for, pardon the Eye Chart or this busy slide, forgive me if I appear worried, or I'm really nervous, and I'm not good at public speaking, I'm not a speaker, or I've never done this before.

Please don't use these phrases: next slide, I didn't have enough time, I've been asked to speak about, or that's all I have.

We shouldn't make public speaking more difficult than it is. We shouldn't exacerbate a difficult issue. Better public speakers avoid these words and phrases.

Remember not only to say the right thing in the right place, but far more difficult still, to leave unsaid the wrong thing at the tempting moment.” — Benjamin Franklin, Founding Father


This is a summary. See the original post here.

Jussi Luukkonen, MBA

Jussi Luukkonen, MBA

3 years ago

Is Apple Secretly Building A Disruptive Tsunami?

A TECHNICAL THOUGHT

The IT giant is seeding the digital Great Renaissance.

The Great Wave off Kanagawa by Hokusai— Image by WikiImages from Pixabay

Recently, technology has been dull.

We're still fascinated by processing speeds. Wearables are no longer an engineer's dream.

Apple has been quiet and avoided huge announcements. Slowness speaks something. Everything in the spaceship HQ seems to be turning slowly, unlike competitors around buzzwords.

Is this a sign of the impending storm?

Metas stock has fallen while Google milks dumb people. Microsoft steals money from corporations and annexes platforms like Linkedin.

Just surface bubbles?

Is Apple, one of the technology continents, pushing against all others to create a paradigm shift?

The fundamental human right to privacy

Apple's unusual remarks emphasize privacy. They incorporate it into their business models and judgments.

Apple believes privacy is a human right. There are no compromises.

This makes it hard for other participants to gain Apple's ecosystem's efficiencies.

Other players without hardware platforms lose.

Apple delivers new kidneys without rejection, unlike other software vendors. Nothing compromises your privacy.

Corporate citizenship will become more popular.

Apples have full coffers. They've started using that flow to better communities, which is great.

Apple's $2.5B home investment is one example. Google and Facebook are building or proposing to build workforce housing.

Apple's funding helps marginalized populations in more than 25 California counties, not just Apple employees.

Is this a trend, and does Apple keep giving back? Hope so.

I'm not cynical enough to suspect these investments have malicious motives.

The last frontier is the environment.

Climate change is a battle-to-win.

Long-term winners will be companies that protect the environment, turning climate change dystopia into sustainable growth.

Apple has been quietly changing its supply chain to be carbon-neutral by 2030.

“Apple is dedicated to protecting the planet we all share with solutions that are supporting the communities where we work.” Lisa Jackson, Apple’s vice president of environment.

Apple's $4.7 billion Green Bond investment will produce 1.2 gigawatts of green energy for the corporation and US communities. Apple invests $2.2 billion in Europe's green energy. In the Philippines, Thailand, Nigeria, Vietnam, Colombia, Israel, and South Africa, solar installations are helping communities obtain sustainable energy.

Apple is already carbon neutral today for its global corporate operations, and this new commitment means that by 2030, every Apple device sold will have net zero climate impact. -Apple.

Apple invests in green energy and forests to reduce its paper footprint in China and the US. Apple and the Conservation Fund are safeguarding 36,000 acres of US working forest, according to GreenBiz.

Apple's packaging paper is recycled or from sustainably managed forests.

What matters is the scale.

$1 billion is a rounding error for Apple.

These small investments originate from a tree with deep, spreading roots.

Apple's genes are anchored in building the finest products possible to improve consumers' lives.

I felt it when I switched to my iPhone while waiting for a train and had to pack my Macbook. iOS 16 dictation makes writing more enjoyable. Small change boosts productivity. Smooth transition from laptop to small screen and dictation.

Apples' tiny, well-planned steps have great growth potential for all consumers in everything they do.

There is clearly disruption, but it doesn't have to be violent

Digital channels, methods, and technologies have globalized human consciousness. One person's responsibility affects many.

Apple gives us tools to be privately connected. These technologies foster creativity, innovation, fulfillment, and safety.

Apple has invented a mountain of technologies, services, and channels to assist us adapt to the good future or combat evil forces who cynically aim to control us and ruin the environment and communities. Apple has quietly disrupted sectors for decades.

Google, Microsoft, and Meta, among others, should ride this wave. It's a tsunami, but it doesn't have to be devastating if we care, share, and cooperate with political decision-makers and community leaders worldwide.

A fresh Renaissance

Renaissance geniuses Michelangelo and Da Vinci. Different but seeing something no one else could yet see. Both were talented in many areas and could discover art in science and science in art.

These geniuses exemplified a period that changed humanity for the better. They created, used, and applied new, valuable things. It lives on.

Apple is a digital genius orchard. Wozniak and Jobs offered us fertile ground for the digital renaissance. We'll build on their legacy.

We may put our seeds there and see them bloom despite corporate greed and political ignorance.

I think the coming tsunami will illuminate our planet like the Renaissance.

Farhan Ali Khan

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).

  1. In the first phase, Alex is already inside the cave and is free to select either path, in this case A or B.

  2. As Alex made his decision, Jack entered the cave and asked him to exit from the B path.

  3. 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:

  1. Alex walks into the cave.

  2. Alex follows a random route.

  3. Jack walks into the cave.

  4. Alex is asked to follow a random route by Jack.

  5. 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

  1. Completeness: If the proposition being proved is true, then an honest prover will persuade an honest verifier that it is true.

  2. Soundness: If the proposition being proved is untrue, no dishonest prover can persuade a sincere verifier that it is true.

  3. 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:

  1. You and the verifier settle on a mathematical conundrum or issue, such as figuring out a big number's components.

  2. 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.

  3. You provide your answer to the verifier, who can assess its accuracy without knowing anything about your private data.

  4. 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:

  1. Completeness: If you actually know the hidden information, you will be able to solve the mathematical puzzles or problems, hence the proof is conclusive.

  2. 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.

  3. 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:

  1. One of the two coins is chosen at random, and you secretly flip it more than once.

  2. You show your pal the following series of coin flips without revealing which coin you actually flipped.

  3. Next, as one of the two coins is flipped in front of you, your friend asks you to tell which one it is.

  4. 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.

  5. 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:

  1. 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.

  2. 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.

  3. 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:

  1. You determine a new number s = r2 mod n by computing a random number r.

  2. 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.

  3. A random number (either 0 or 1) is selected by your friend and sent to you.

  4. 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.

  5. 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:

  1. 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.

  2. 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.

  3. 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:

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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:

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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:

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.