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An intro to Zero Knowledge Proofs



In simple terms, a zero-knowledge proof (ZKP) is a method for proving a statement is true without revealing any additional information about the statement itself. The math behind ZKPs usually relies on hard mathematical problems, but here's a simple example to illustrate the concept without diving into complex math:


Imagine you have two identical balls, one red and one blue, and you want to prove to someone that you know which ball is which without revealing the color of either ball. You can use a ZKP-like method:


  1. You hide both balls in separate boxes and show the boxes to the other person.

  2. The other person randomly selects a box and asks you to reveal the color of the ball in the other box.

  3. You reveal the color of the ball in the other box, but not the selected one.

  4. The other person can now be certain that you know the color of the ball in the selected box without learning its color themselves.


This process can be repeated multiple times, increasing the confidence of the other person that you indeed know the colors without revealing any information about the individual balls.


In real-world ZKP applications, the problems are more complex and involve mathematical constructs such as discrete logarithms, elliptic curves, or lattice-based cryptography. However, the key idea is the same: the prover demonstrates knowledge of some secret information without revealing the secret itself.


ZKPs have numerous applications in cryptography and computer security, including:


  • Identity verification: ZKP can be used to verify someone's identity without revealing any personal information beyond the fact that they are who they claim to be.

  • Data privacy: ZKP can be used to prove that certain data satisfies a specific condition, without revealing the data itself. For example, a ZKP could prove that a person is over 18 years old without revealing their birth date.

  • Blockchain technology: ZKP can be used to enhance the privacy and security of blockchain transactions by allowing parties to prove ownership and transfer of assets without revealing any additional information.

  • Password authentication: ZKP can be used to authenticate passwords without actually revealing the password itself, as in the example above.

  • Secure computation: ZKP can be used to prove that certain computations have been performed correctly, without revealing the inputs or outputs of those computations.


ZKPs have the potential to impact various industries and applications in the future, thanks to their privacy-preserving and secure properties. Some possible future use cases include:


  • Identity management: ZKPs can enable secure and private authentication, where users can prove their identity without revealing sensitive personal information. This could help reduce identity theft and improve user privacy in online services.

  • Voting systems: ZKPs could be used to design secure and private electronic voting systems, where voters can prove their eligibility without revealing their actual votes, ensuring both privacy and verifiability in the voting process.

  • Supply chain management: ZKPs can facilitate secure and private tracking of products through the supply chain, allowing parties to verify the authenticity and provenance of goods without revealing confidential information about suppliers or clients.

  • Financial services: ZKPs can be used to enable privacy-preserving transactions and data sharing in financial services, allowing banks and other institutions to verify compliance with regulations and prevent fraud without revealing sensitive customer data.

  • Healthcare: In healthcare, ZKPs can help protect patient privacy while enabling secure data sharing between different healthcare providers, improving care coordination and research collaboration.

  • Decentralized systems: ZKPs can enhance privacy and security in blockchain and distributed ledger technologies, enabling private transactions, smart contracts, and secure data storage while maintaining transparency and verifiability.

  • Internet of Things (IoT): ZKPs can improve security and privacy in IoT networks by allowing devices to authenticate and communicate securely without revealing sensitive information.


When incorporating Zero Knowledge Proofs into your development, you need an auditor with expertise and understanding of the potential vulnerabilities of ZKP that could leave your project open to an exploit. Our ZKP practice has some of the most knowledgeable experts in the field of Zero Knowledge Proofs and are ready to help you make your project safe.


Ready for an audit? Fill out this form here and we’ll be in touch!


To learn more about FYEO’s Audit Process, check out this post.


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