Effective: August 31, 2022

These Terms of Service ("Terms") govern your access to and use of INTΞGRITY’s (or "we") websites, mobile applications, and other online products and services (collectively, the "Services"). By clicking your assent (e.g. "Continue," "Sign-in," or "Sign-up") or by utilizing our Services, you consent to these Terms, including the mandatory arbitration provision and class action waiver in the Resolving Disputes; Binding Arbitration Section.

Our Privacy Policy describes how we gather and utilize your information, while our Rules detail your duties when utilizing our Services. You agree to be bound by these Terms and our Rules by utilizing our Services. Please refer to our Privacy Statement for details on how we collect, utilize, disclose, and otherwise manage your information.

Please contact us at hello@int3grity.com if you have any queries regarding these Terms or our Services.

Account Details and Responsibilities

You are responsible for your use of the Services and any content you contribute, including compliance with all relevant laws. The Services may host content that is protected by the intellectual property rights of third parties. Please do not copy, post, download, or distribute content without permission.

You must adhere to our Rules when using the Services.

To use any or all of our services, you may need to register for an account. Contribute to the protection of your account. Protect your account's password, and maintain accurate account details. We advise you not to share your password with anyone else.

If you are accepting these Terms and using the Services on behalf of someone else (such as another person or entity), you confirm that you are allowed to do so, and the words "you" or "your" in these Terms refer to that other person or entity.

You must be at least 13 years old to access our services.

If you use the Services to access, collect, or otherwise utilize the personal information of other INTΞGRITY users ("Personal Information"), you agree to comply with all applicable laws. You also undertake not to sell any Personal Information, where "sell" has the meaning ascribed to it by relevant legislation.

For Personal Information you provide to us (as a Newsletter Editor, for example), you represent and warrant that you have lawfully collected the Personal Information and that you or a third party have provided all required notices and obtained all required consents prior to collecting the Personal Information. You further represent and warrant that INTΞGRITY’s use of such Personal Information in accordance with the purposes for which you provided the Personal Information will not violate, misappropriate, or infringe any rights of a third party (including intellectual property rights or privacy rights) or cause us to violate any applicable laws.

The Services' User Content

INTΞGRITY may monitor your conduct and material for compliance with these Terms and our Rules, and reserves the right to remove any content that violates these guidelines.

INTΞGRITY maintains the right to remove or disable content that is accused to violate the intellectual property rights of others, as well as to cancel the accounts of repeat infringers. We respond to notifications of alleged copyright violations if they comply with the law; please report such notices using our Copyright Policy.

Ownership and Rights

You maintain ownership of all content that you submit, upload, or display on or through the Services.

By submitting, posting, or displaying content on or through the Services, unless otherwise agreed in writing, you grant INTΞGRITY a nonexclusive, royalty-free, worldwide, fully paid, and sublicensable license to use, reproduce, modify, adapt, publish, translate, create derivative works from, distribute, publicly perform and display your content and any name, username or likeness provided in connection with your content in all media formats and distribution methods now known or later developed.

INTΞGRITY requires this license because you are the owner of your material, and INTΞGRITY cannot show it across its multiple platforms (mobile, online) without your consent.

This type of license is also required for content distribution throughout our Services. For example, you may publish a piece on INTΞGRITY. It is duplicated as versions on both our website and app, and distributed to many locations on INTΞGRITY, including the homepage and reading lists. A tweak could be that we display a fragment of your work as a preview (rather than the entire post), with attribution. An example of a derivative work might be a list of top authors or quotations on INTΞGRITY that includes chunks of your article, again with full attribution. This license solely applies to our Services and does not grant us permissions outside of our Services.

So long as you comply with these Terms, INTΞGRITY grants you a limited, non-exclusive, personal, and non-transferable license to access and utilize our Services.

Copyright, trademark, and other United States and international laws protect the Services. These Terms do not grant you any right, title, or interest in the Services, the material posted by other users on the Services, or INTΞGRITY’s trademarks, logos, or other brand characteristics.

In addition to the content you submit, post, or display on our Services, we appreciate your feedback, which may include your thoughts, ideas, and suggestions regarding our Services. This input may be used for any reason at our sole discretion and without obligation to you. We may treat your comments as non-confidential.

We reserve the right, at our sole discretion, to discontinue the Services or any of its features. In addition, we reserve the right to impose limits on use and storage, and to remove or restrict the distribution of content on the Services.

Termination

You are allowed to terminate your use of our services at any time. We have the right to stop or cancel your use of the Services with or without notice.

Moving and Processing Information

To enable us to deliver our Services, you accept that we may handle, transfer, and retain information about you in the United States and other countries, where you may not enjoy the same rights and protections as you do under local law.

Indemnification

To the maximum extent permitted by applicable law, you will indemnify, defend, and hold harmless INTΞGRITY, and our officers, directors, agents, partners, and employees (collectively, the "INTΞGRITY Parties"), from and against any losses, liabilities, claims, demands, damages, expenses or costs ("Claims") arising out of or relating to your violation, misappropriation, or infringement of any rights of another (including intellectual property rights or privacy rights). You undertake to promptly notify INTΞGRITY Parties of any third-party Claims, to assist INTΞGRITY Parties in fighting such Claims, and to pay any fees, charges, and expenses connected with defending such Claims (including attorneys' fees). You further agree that, at INTΞGRITY’s sole discretion, the INTΞGRITY Parties will govern the defense or settlement of any third-party Claims.

Disclaimers — Services Provided "As Is"

INTΞGRITY strives to provide you with excellent Services, but there are certain things we cannot guarantee. Utilization of our services is at your own risk. You acknowledge that our Services and any content uploaded or shared by users on the Services are given "as is" and "as available" without explicit or implied warranties of any kind, including warranties of merchantability, fitness for a particular purpose, title, and non-infringement. In addition, INTΞGRITY does not represent or promise that our Services are accurate, comprehensive, dependable, up-to-date, or error-free. No advice or information gained from INTΞGRITY or via the Services shall create any warranty or representation unless expressly set forth in this section. INTΞGRITY may provide information on third-party products, services, activities, or events, or we may permit third parties to make their material and information accessible via our Services (collectively, "Third-Party Content"). We neither control nor endorse any Third-Party Content, nor do we make any claims or warranties about it. Accessing and utilizing Third-Party Content is at your own risk. The disclaimers in this section may not apply to you if they are prohibited in your location.

Limitation of Liability

We do not exclude or limit our obligation to you where it would be unlawful to do so; this includes any liability for the gross negligence, fraud, or willful misconduct of INTΞGRITY or the other INTΞGRITY Parties in providing the Services. In jurisdictions where the foregoing exclusions are not permitted, our liability to you is limited to losses and damages that are reasonably foreseeable as a result of our failure to exercise reasonable care and skill or breach of contract with you. This paragraph does not impact consumer rights that cannot be waived or limited by contract.

In jurisdictions that permit liability exclusions or limits, INTΞGRITY and INTΞGRITY Parties will not be liable for:

(a) Any indirect, consequential, exemplary, incidental, punitive, or extraordinary damages, or any loss of use, data, or profits, based on any legal theory, even if INTΞGRITY or the other INTΞGRITY Parties were advised of the potential of such damages.

(b) Except for the types of liability we cannot limit by law (as described in this section), we limit the total liability of INTΞGRITY and the other INTΞGRITY Parties for any claim arising out of or related to these Terms or our Services, regardless of the form of action, to $100.00 USD.

Arbitration; Resolution of Disputes

We intend to address your concerns without filing a formal lawsuit. Before making a claim against INTΞGRITY, you agree to contact us and attempt to resolve the dispute informally by emailing hello@int3grity.com or by sending certified mail to INTΞGRITY, P.O. JOY, 479 Jessie St, San Francisco, CA 94103. The notice must (a) contain your name, address, email address, and telephone number; (b) identify the nature and grounds of the claim; and (c) detail the relief requested. Our notice to you will be sent to the email address linked with your online account and will contain the information specified in the preceding section. Any party may commence a formal procedure if we are unable to reach a resolution within thirty (30) days of the date of any notice.

Please read the following section carefully because it compels you to arbitrate certain claims and disputes with INTΞGRITY and limits the method in which you can seek redress from us, unless you opt out of arbitration by following the steps provided below. This arbitration provision does not permit class or representative lawsuits or arbitrations. In addition, arbitration prohibits you from filing a lawsuit or having a jury trial.

(a) Absence of Representative Actions You and INTΞGRITY agree that any dispute arising out of or relating to these Terms or our Services is personal to you and INTΞGRITY and will be resolved entirely via individual action, and not by class arbitration, class action, or other representative procedure.

(b) Dispute Arbitration. Except for small claims disputes in which you or INTΞGRITY seeks to bring an individual action in small claims court located in the county where you reside and disputes in which you or INTΞGRITY seeks injunctive or other equitable relief for the alleged infringement or misappropriation of intellectual property, you and INTΞGRITY waive your rights to a jury trial and to have any other dispute arising out of or relating to these Terms or our Services, including claims related to privity of contract, decided by a jury. All Disputes submitted to JAMS shall be decided by confidential, binding arbitration before a single arbitrator. If you are a consumer, you may choose to have the arbitration in your county of residence. A "consumer" is a person who uses the Services for personal, family, or household purposes for the purposes of this provision. You and INTΞGRITY agree that Disputes shall be resolved using the JAMS Streamlined Arbitration Rules and Procedures ("JAMS Rules"). The latest version of the JAMS Rules is accessible on the JAMS website and is incorporated herein by reference. Either you accept and agree that you have read and comprehended the JAMS Rules or you forfeit your right to read the JAMS Rules and any claim that the JAMS Rules are unreasonable or should not apply for any reason.

(c) You and INTΞGRITY agree that these Terms affect interstate commerce and that the enforceability of this provision is subject to the Federal Arbitration Act, 9 U.S.C. 1 et seq. (the "FAA"), to the maximum extent permissible by applicable law. As limited by the FAA, these Terms, and the JAMS Rules, the arbitrator will have sole authority to make all procedural and substantive judgments regarding any Dispute, and to grant any remedy that would otherwise be available in court, including the authority to determine arbitrability. The arbitrator may only conduct an individual arbitration and may not consolidate the claims of more than one party, preside over any sort of class or representative procedure, or preside over any proceeding involving more than one party.

d) The arbitration will permit the discovery or exchange of nonconfidential information pertinent to the Dispute. The arbitrator, INTΞGRITY, and you will maintain the confidentiality of all arbitration proceedings, judgments, and awards, as well as any information gathered, prepared, or presented for the purposes of the arbitration or relating to the Dispute(s) therein. Unless the law specifies otherwise, the arbitrator will have the right to make decisions that protect confidentiality. The duty of confidentiality does not apply where disclosure is required to prepare for or conduct the arbitration hearing on the merits, in connection with a court application for a preliminary remedy, in connection with a judicial challenge to an arbitration award or its enforcement, or where disclosure is otherwise required by law or judicial decision.

e) You and INTΞGRITY agree that for any arbitration you begin, you will pay the filing fee (up to $250 if you are a consumer) and INTΞGRITY will pay the remaining JAMS fees and costs. INTΞGRITY will pay all JAMS fees and costs for any and all arbitrations it initiates. You and INTΞGRITY agree that the state and federal courts of California and the United States located in San Francisco have exclusive jurisdiction over any appeals and the implementation of an arbitration award.

(f) Any Dispute must be filed within one year after the relevant claim arose; otherwise, the Dispute is permanently barred, meaning that neither you nor INTΞGRITY will be able to assert the claim.

(g) You have the right to opt-out of binding arbitration within 30 days of the date you initially accepted the terms of this section by sending an email to hello@int3grity.com. For the opt-out notification to be effective, it must include your full name and address and clearly explain your intent to opt out of binding arbitration. By declining binding arbitration, you consent to the resolution of Disputes in accordance with "Governing Law and Venue" below.

(h) If any portion of this section is found to be unenforceable or unlawful for any reason: (1) the unenforceable or unlawful provision shall be severed from these Terms; (2) the severance of the unenforceable or unlawful provision shall have no effect whatsoever on the remainder of this section or the parties' ability to compel arbitration of any remaining claims on an individual basis pursuant to this section; and (3) to the extent that any claims must therefore proceed on an individual basis, the parties agree to arbitrate those claims on an individual basis. In addition, if it is determined that any portion of this section prohibits an individual claim seeking public injunctive relief, that provision will be null and void to the extent that such relief may be sought outside of arbitration, and the balance of this section will be enforceable.

Statute and Location

These Terms and any dispute that may arise between you and INTΞGRITY are governed by California law, excluding its conflict of law provisions. Any issue between the parties that is not arbitrable or cannot be heard in small claims court will be determined by the state or federal courts of California and the United States, sitting in San Francisco, California.

Some nations have regulations that require agreements to be controlled by the consumer's country's laws. These statutes are not overridden by this paragraph.

Amendments

Periodically, we may make modifications to these Terms. If we make modifications, we will notify you by sending an email to the address connected with your account, providing an in-product message, or amending the date at the top of these Terms. Unless we specify otherwise in our notification, the modified Terms will take effect immediately, and your continued use of our Services after we issue such notice indicates your acceptance of the changes. If you do not accept the updated Terms, you must cease using our services.

Severability

If any section or portion of a provision of these Terms is determined to be unlawful, void, or unenforceable, that provision or part of the provision shall be deemed severable from these Terms and shall not affect the validity and enforceability of the other terms.

Miscellaneous INTΞGRITY’s omission to assert or enforce any right or term of these Terms is not a waiver of such right or provision. These Terms and the terms and policies specified in the Other Terms and Policies that May Apply to You Section constitute the complete agreement between the parties pertaining to the subject matter hereof and supersede all prior agreements, statements, and understandings between the parties. The section headings in these Terms are for convenience only and have no legal or contractual significance. The use of the word "including" shall be taken to mean "including without limitation." Unless otherwise specified, these Terms are intended solely for the benefit of the parties and are not intended to confer third-party beneficiary rights on any other person or entity. You consent to the use of electronic means for our communications and transactions.

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;

Send you technical notices, security alerts, and administrative and support messages;

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

Account Specifics

You can access, modify, delete, and export your account information at any time by login into the Services and visiting the Settings page. Please be aware that if you delete your account, we may preserve certain information on you as needed by law or for our legitimate business purposes.

Cookies

The majority of web browsers accept cookies by default. You can often configure your browser to delete or refuse cookies if you wish. Please be aware that removing or rejecting cookies may impact the accessibility and performance of our services.

Communications

You may opt out of getting certain messages from us, such as digests, newsletters, and activity notifications, by following the instructions contained within those communications or by visiting the Settings page of your account. Even if you opt out, we may still send you emails regarding your account or our ongoing business relationships.

Mobile Push Notifications

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.

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.

Research on preventing disease, extending life, and caring for your body from the inside out

Grapefruit and pomegranates aren't on the list, so ignore that. Mostly, I enjoyed the visual, but those fruits are healthful, too.

15 (or 17 if you consider the photo) different foods a day sounds like a lot. If you're not used to it  — it is.

These lists don't aim for perfection. Instead, use this article and the science below to eat more of these foods. If you can eat 5 foods one day and 5 the next, you're doing well. This list should be customized to your requirements and preferences.

“Every time you eat or drink, you are either feeding disease or fighting it” -Heather Morgan.

The 15 Foods That You Should Consume Daily and Why:

1. Dark/Red Berries

(blueberries, blackberries, acai, goji, cherries, strawberries, raspberries)

The 2010 Global Burden of Disease Study is the greatest definitive analysis of death and disease risk factors in history. They found the primary cause of both death, disability, and disease inside the United States was diet.

Not eating enough fruit, and specifically berries, was one of the best predictors of disease (1).

What's special about berries? It's their color! Berries have the most antioxidants of any fruit, second only to spices. The American Cancer Society found that those who ate the most berries were less likely to die of cardiovascular disease.

2. Beans

Soybeans, black beans, kidney beans, lentils, split peas, chickpeas.

Beans are one of the most important predictors of survival in older people, according to global research (2).

For every 20 grams (2 tablespoons) of beans consumed daily, the risk of death is reduced by 8%.

Soybeans and soy foods are high in phytoestrogen, which reduces breast and prostate cancer risks. Phytoestrogen blocks the receptors' access to true estrogen, mitigating the effects of weight gain, dairy (high in estrogen), and hormonal fluctuations (3).

3. Nuts

(almonds, walnuts, pecans, pistachios, Brazil nuts, cashews, hazelnuts, macadamia nuts)

Eating a handful of nuts every day reduces the risk of chronic diseases like heart disease and diabetes. Nuts also reduce oxidation, blood sugar, and LDL (bad) cholesterol, improving arterial function (4).

Despite their high-fat content, studies have linked daily nut consumption to a slimmer waistline and a lower risk of obesity (5).

4. Flaxseed

(milled flaxseed)

2013 research found that ground flaxseed had one of the strongest anti-hypertensive effects of any food. A few tablespoons (added to a smoothie or baked goods) lowered blood pressure and stroke risk 23 times more than daily aerobic exercise (6).

Flax shouldn't replace exercise, but its nutritional punch is worth adding to your diet.

5. Other seeds

(chia seeds, hemp seeds, pumpkin seeds, sesame seeds, fennel seeds)

Seeds are high in fiber and omega-3 fats and can be added to most dishes without being noticed.

When eaten with or after a meal, chia seeds moderate blood sugar and reduce inflammatory chemicals in the blood (7). Overall, a great daily addition.

6. Dates

Dates are one of the world's highest sugar foods, with 80% sugar by weight. Pure cake frosting is 60%, maple syrup is 66%, and cotton-candy jelly beans are 70%.

Despite their high sugar content, dates have a low glycemic index, meaning they don't affect blood sugar levels dramatically. They also improve triglyceride and antioxidant stress levels (8).

Dates are a great source of energy and contain high levels of dietary fiber and polyphenols, making 3-10 dates a great way to fight disease, support gut health with prebiotics, and satisfy a sweet tooth (9).

7. Cruciferous Veggies

(broccoli, Brussel sprouts, horseradish, kale, cauliflower, cabbage, boy choy, arugula, radishes, turnip greens)

Cruciferous vegetables contain an active ingredient that makes them disease-fighting powerhouses. Sulforaphane protects our brain, eyesight, against free radicals and environmental hazards, and treats and prevents cancer (10).

Unless you eat raw cruciferous vegetables daily, you won't get enough sulforaphane (and thus, its protective nutritional benefits). Cooking destroys the enzyme needed to create this super-compound.

If you chop broccoli, cauliflower, or turnip greens and let them sit for 45 minutes before cooking them, the enzyme will have had enough time to work its sulforaphane magic, allowing the vegetables to retain the same nutritional value as if eaten raw. Crazy, right? For more on this, see What Chopping Your Vegetables Has to Do with Fighting Cancer.

8. Whole grains

(barley, brown rice, quinoa, oats, millet, popcorn, whole-wheat pasta, wild rice)

Whole-grains are one of the healthiest ways to consume your daily carbs and help maintain healthy gut flora.

This happens when fibre is broken down in the colon and starts a chain reaction, releasing beneficial substances into the bloodstream and reducing the risk of Type 2 Diabetes and inflammation (11).

9. Spices

(turmeric, cumin, cinnamon, ginger, saffron, cloves, cardamom, chili powder, nutmeg, coriander)

7% of a person's cells will have DNA damage. This damage is caused by tiny breaks in our DNA caused by factors like free-radical exposure.

Free radicals cause mutations that damage lipids, proteins, and DNA, increasing the risk of disease and cancer. Free radicals are unavoidable because they result from cellular metabolism, but they can be avoided by consuming anti-oxidant and detoxifying foods.

Including spices and herbs like rosemary or ginger in our diet may cut DNA damage by 25%. Yes, this damage can be improved through diet. Turmeric worked better at a lower dose (just a pinch, daily). For maximum free-radical fighting (and anti-inflammatory) effectiveness, use 1.5 tablespoons of similar spices (12).

10. Leafy greens

(spinach, collard greens, lettuce, other salad greens, swiss chard)

Studies show that people who eat more leafy greens perform better on cognitive tests and slow brain aging by a year or two (13).

As we age, blood flow to the brain drops due to a decrease in nitric oxide, which prevents blood vessels from dilatation. Daily consumption of nitrate-rich vegetables like spinach and swiss chard may prevent dementia and Alzheimer's.

11. Fermented foods

(sauerkraut, tempeh, kombucha, plant-based kefir)

Miso, kimchi, and sauerkraut contain probiotics that support gut microbiome.

Probiotics balance the good and bad bacteria in our bodies and offer other benefits. Fermenting fruits and vegetables increases their antioxidant and vitamin content, preventing disease in multiple ways (14).

12. Sea vegetables

(seaweed, nori, dulse flakes)

A population study found that eating one sheet of nori seaweed per day may cut breast cancer risk by more than half (15).

Seaweed and sea vegetables may help moderate estrogen levels in the metabolism, reducing cancer and disease risk.

Sea vegetables make up 30% of the world's edible plants and contain unique phytonutrients. A teaspoon of these super sea-foods on your dinner will help fight disease from the inside out.

13. Water

I'm less concerned about whether you consider water food than whether you drink enough. If this list were ranked by what single item led to the best health outcomes, water would be first.

Research shows that people who drink 5 or more glasses of water per day have a 50% lower risk of dying from heart disease than those who drink 2 or less (16).

Drinking enough water boosts energy, improves skin, mental health, and digestion, and reduces the risk of various health issues, including obesity.

14. Tea

All tea consumption is linked to a lower risk of stroke, heart disease, and early death, with green tea leading for antioxidant content and immediate health benefits.

Green tea leaves may also be able to interfere with each stage of cancer formation, from the growth of the first mutated cell to the spread and progression of cancer in the body. Green tea is a quick and easy way to support your long-term and short-term health (17).

15. Supplemental B12 vitamin

B12, or cobalamin, is a vitamin responsible for cell metabolism. Not getting enough B12 can have serious consequences.

Historically, eating vegetables from untreated soil helped humans maintain their vitamin B12 levels. Due to modern sanitization, our farming soil lacks B12.

B12 is often cited as a problem only for vegetarians and vegans (as animals we eat are given B12 supplements before slaughter), but recent studies have found that plant-based eaters have lower B12 deficiency rates than any other diet (18).

Article Sources:

1. The Global Burden of Disease Study 2010 (GBD 2010)

2. I. Darmadi-Blackberry, M. Wahlqvist, A. Kouris-Blazos, et al. Legumes: the most important dietary predictor of survival in older people of different ethnicities. Asia Pac J Clin Nutr. 2004;13(2):217–20.

3. Guha N, Kwan ML, Quesenberry CP Jr, Weltzien EK, Castillo AL, Caan BJ. Soy isoflavones and risk of cancer recurrence in a cohort of breast cancer survivors: the Life After Cancer Epidemiology study. Breast Cancer Res Treat. 2009 Nov;118(2):395–405.

4. Y. Bao, J. Han, F. B. Hu, E. L. Giovannucci, M. J. Stampfer, W. C. Willett, C. S. Fuchs. Association of nut consumption with total and cause-specific mortality. N. Engl. J. Med. 2013 369(21):2001–2011.

5. V. Vadivel, C. N. Kunyanga, H. K. Biesalski. Health benefits of nut consumption with special reference to body weight control. Nutrition 2012 28(11–12):1089–1097.

6. D Rodriguez-Leyva, W Weighell, A L Edel,R LaVallee, E Dibrov,R Pinneker, T G Maddaford, B Ramjiawan, M Aliani, R Guzman R, G N Pierce. Potent antihypertensive action of dietary flaxseed in hypertensive patients. Hypertension. 2013 Dec;62(6):1081–9. doi: 10.1161/HYPERTENSIONAHA.113.02094.

7. Vuksan V, Jenkins AL, Dias AG, Lee AS, Jovanovski E, Rogovik AL, Hanna A. Reduction in postprandial glucose excursion and prolongation of satiety: possible explanation of the long-term effects of whole grain Salba (Salvia Hispanica L.). Eur J Clin Nutr. 2010 Apr;64(4):436–8. doi: 10.1038/ejcn.2009.159. Epub 2010 Jan 20. PMID: 20087375.

8. W. Rock, M. Rosenblat, H. Borochov-Neori, N. Volkova, S. Judeinstein, M. Elias, and M. Aviram. Effects of date (Phoenix dactylifera L., Medjool or Hallawi Variety) consumption by healthy subjects on serum glucose and lipid levels and on serum oxidative status: a pilot study. J. Agric. Food. Chem., 57(17):8010{8017, 2009.

9. Eid N, Enani S, Walton G, et al. The impact of date palm fruits and their component polyphenols, on gut microbial ecology, bacterial metabolites and colon cancer cell proliferation. J Nutr Sci. 2014;3:e46.

10. Li Y, Zhang T, Korkaya H, Liu S, Lee HF, Newman B, Yu Y, Clouthier SG, Schwartz SJ, Wicha MS, Sun D. Sulforaphane, a Dietary Component of Broccoli/Broccoli Sprouts, Inhibits Breast Cancer Stem Cells. Clin Cancer Res. 2010 May 1;16(9):2580–90.

11. Lappi J, Kolehmainen M, Mykkänen H, Poutanen K. Do large intestinal events explain the protective effects of whole grain foods against type 2 diabetes? Crit Rev Food Sci Nutr. 2013;53(6):631–40.

12. S. S. Percival, J. P. V. Heuvel, C. J. Nieves, C. Montero, A. J. Migliaccio, J. Meadors. Bioavailability of Herbs and Spices in Humans as Determined by ex vivo Inflammatory Suppression and DNA Strand Breaks. J Am Coll Nutr. 2012 31(4):288–294.

13. Nurk E, Refsum H, Drevon CA, et al. Cognitive performance among the elderly in relation to the intake of plant foods. The Hordaland Health Study. Br J Nutr. 2010;104(8):1190–201.

14. Melini, F.; Melini, V.; Luziatelli, F.; Ficca, A.G.; Ruzzi, M. Health-Promoting Components in Fermented Foods: An Up-to-Date Systematic Review. Nutrients2019, 11, 1189.

15. H. Funahashi, T. Imai, T. Mase, M. Sekiya, K. Yokoi, H. Hayashi, A. Shibata, T. Hayashi, M. Nishikawa, N. Suda, Y. Hibi, Y. Mizuno, K. Tsukamura, A. Hayakawa, S. Tanuma. Seaweed prevents breast cancer? Jpn. J. Cancer Res. 2001 92(5):483–487.

16. Chan J, Knutsen SF, Blix GG, Lee JW, Fraser GE. Water, other fluids, and fatal coronary heart disease: the Adventist Health Study. Am J Epidemiol. 2002 May 1;155(9):827–33. doi: 10.1093/aje/155.9.827. PMID: 11978586.

17. Fujiki H, Imai K, Nakachi K, Shimizu M, Moriwaki H, Suganuma M. Challenging the effectiveness of green tea in primary and tertiary cancer prevention. J Cancer Res Clin Oncol. 2012 Aug;138(8):1259–70.

18. Damayanti, D., Jaceldo-Siegl, K., Beeson, W. L., Fraser, G., Oda, K., & Haddad, E. H. (2018). Foods and Supplements Associated with Vitamin B12Biomarkers among Vegetarian and Non-Vegetarian Participants of the Adventist Health Study-2 (AHS-2) Calibration Study. Nutrients, 10(6), 722. doi:10.3390/nu10060722