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implementing-zero-knowledge-proof-for-authentication

Implements the Schnorr identification protocol and a simplified Zero-Knowledge Password Proof (ZKPP) over the discrete logarithm problem, letting a prover authenticate by demonstrating knowledge of a

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Imported from mukul975/anthropic-cybersecurity-skills (skills/implementing-zero-knowledge-proof-for-authentication/SKILL.md). Install upstream with npx skills add mukul975/anthropic-cybersecurity-skills --skill implementing-zero-knowledge-proof-for-authentication. Copyright stays with the author (Apache-2.0).

Implementing Zero-Knowledge Proof for Authentication

Overview

Zero-Knowledge Proofs (ZKPs) allow a prover to demonstrate knowledge of a secret (such as a password or private key) without revealing the secret itself. This skill implements the Schnorr identification protocol and a simplified ZKPP (Zero-Knowledge Password Proof) using the discrete logarithm problem, enabling authentication where the server never learns the user's password.

When to Use

  • When deploying or configuring implementing zero knowledge proof for authentication capabilities in your environment
  • When establishing security controls aligned to compliance requirements
  • When building or improving security architecture for this domain
  • When conducting security assessments that require this implementation

Prerequisites

  • Familiarity with cryptography concepts and tools
  • Access to a test or lab environment for safe execution
  • Python 3.8+ with required dependencies installed
  • Appropriate authorization for any testing activities

Objectives

  • Implement Schnorr's identification protocol for ZKP authentication
  • Build a non-interactive ZKP using Fiat-Shamir heuristic
  • Implement zero-knowledge password proof (ZKPP)
  • Demonstrate completeness, soundness, and zero-knowledge properties
  • Compare ZKP authentication with traditional password verification

Key Concepts

ZKP Properties

Property Description
Completeness Honest prover always convinces honest verifier
Soundness Dishonest prover cannot convince verifier (except negligible probability)
Zero-Knowledge Verifier learns nothing beyond the statement's truth

Schnorr Protocol

  1. Setup: Public generator g, prime p, q (order of g)
  2. Registration: Prover computes y = g^x mod p (public key from secret x)
  3. Commitment: Prover sends t = g^r mod p (random r)
  4. Challenge: Verifier sends random c
  5. Response: Prover sends s = r + c*x mod q
  6. Verify: Check g^s == t * y^c mod p

Security Considerations

  • Use cryptographically secure random number generators
  • Challenge must be unpredictable (from verifier's perspective)
  • For non-interactive proofs, use Fiat-Shamir with collision-resistant hash
  • ZKP alone does not provide forward secrecy; combine with TLS

Validation Criteria

  • Honest prover always verifies successfully (completeness)
  • Random response without secret does not verify (soundness)
  • Server never receives the secret value
  • Non-interactive proof is verifiable offline
  • Multiple authentications produce different transcripts
  • Protocol resists replay attacks

Use it

Copy one of these into your project. Installing also returns the manifest and these snippets.

yaml
targets:
  - https://api.opensmartroute.ai/api/v1/registry/mukul975-anthropic-cybersecurity-skills-implementing-zer-f7d28f/manifest   # or paste the manifest below

Manifest

An Open Capability Manifest: the router reads it to know what this does, what it costs and when to pick it.

mukul975-anthropic-cybersecurity-skills-implementing-zer-f7d28f.ocm.jsonjson
{
  "ocm": "1",
  "id": "mukul975-anthropic-cybersecurity-skills-implementing-zer-f7d28f",
  "kind": "skill",
  "name": "implementing-zero-knowledge-proof-for-authentication",
  "description": "Implements the Schnorr identification protocol and a simplified Zero-Knowledge Password Proof (ZKPP) over the discrete logarithm problem, letting a prover authenticate by demonstrating knowledge of a secret without ever revealing it to the server. Use when designing or building password-less or password-secret-free authentication, or when a server must verify a user's credential without learning or storing the underlying secret.",
  "publisher": "mukul975",
  "version": "1.0.0",
  "capabilities": {
    "domains": [
      "general"
    ],
    "tags": [
      "skill-md",
      "cryptography",
      "zero-knowledge-proof",
      "authentication",
      "privacy",
      "zkp",
      "skills-sh"
    ],
    "languages": [
      "en"
    ]
  },
  "quality_prior": 0.6,
  "examples": [
    "Implements the Schnorr identification protocol and a simplified Zero-Knowledge Password Proof (ZKPP) over the discrete logarithm problem, letting a prover authenticate by demonstrating knowledge of a secret without ever revealing it to the server. Use when designing or building password-less or password-secret-free authentication, or when a server must verify a user's credential without learning or storing the underlying secret."
  ],
  "primary": false,
  "metadata": {
    "source": {
      "provider": "skills.sh",
      "repository": "https://github.com/mukul975/anthropic-cybersecurity-skills",
      "path": "skills/implementing-zero-knowledge-proof-for-authentication/SKILL.md",
      "ref": "HEAD",
      "url": "https://github.com/mukul975/anthropic-cybersecurity-skills/blob/HEAD/skills/implementing-zero-knowledge-proof-for-authentication/SKILL.md",
      "key": "mukul975/anthropic-cybersecurity-skills/skills/implementing-zero-knowledge-proof-for-authentication/SKILL.md"
    },
    "license": "Apache-2.0"
  },
  "instructions": "# Implementing Zero-Knowledge Proof for Authentication\n\n## Overview\n\nZero-Knowledge Proofs (ZKPs) allow a prover to demonstrate knowledge of a secret (such as a password or private key) without revealing the secret itself. This skill implements the Schnorr identification protocol and a simplified ZKPP (Zero-Knowledge Password Proof) using the discrete logarithm problem, enabling authentication where the server never learns the user's password.\n\n\n## When to Use\n\n- When deploying or configuring implementing zero knowledge proof for authentication capabilities in your environment\n- When establish",
  "cost": {
    "context_tokens": 665
  }
}

Fetch it by URL: GET /api/v1/registry/mukul975-anthropic-cybersecurity-skills-implementing-zer-f7d28f/manifest?version=1.0.0

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