API Documentation

Build with quantum-powered mathematical tools. This documentation covers authentication, endpoints, and usage patterns for secure, auditable computation.

Core API Capabilities

Quantum-Proof Endpoints

All requests use lattice-based cryptography and include zero-knowledge proofs. Every interaction generates a verifiable audit trail.

Modular Computation

Select ancient-inspired mathematical modules (φ-optimization) or quantum-simulation blocks with a single request.

Getting Started

Authenticate using your API key and start solving complex problems with ancient mathematical insights and quantum-grade computation.

Authentication

Use your API key from the developer portal in the Authorization header for all endpoints.

curl 'https://api.eleniomega.com/v1/math/phi'
 -H 'Authorization: Bearer YOUR_API_KEY'
 -H 'Content-Type: application/json'
 -d '{ "input": 150, "granularity": 7 }'
                        

Example: φ-Optimization

Solve optimization problems using golden ratio-based algorithms. Receives quantum-resistant proofs as part of the response.

POST https://api.eleniomega.com/v1/math/phi/optimize
{
  "goal": "maximize",
  "parameters": {
    "a": 3.14159,
    "b": "φ^2",
    "constraints": [
      "a <= 100"
    ]
  }
}
                        

API Reference

Mathematical Foundations

  • ✓ Ancient Greek Algorithms
  • ✓ Quantum Simulation Blocks
  • ✓ Verifiable Audit Trails

Security

  • ✓ Quantum-Resistant Encryption
  • ✓ Zero-Knowledge Proofs
  • ✓ DAO-Verified Computation

Performance

  • ✓ 100ms Avg. Response Time
  • ✓ 99.999% Uptime
  • ✓ Auto-Scaling

Need Developer Support?

Our technical support team is available 24/7 to assist with API integrations, troubleshooting, and best practices.

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