Zeq Auth — Register

Equation-based identity, reputation, federation.

• Protocol ID — zeq-auth-register
• Category — Identity
• Endpoint — POST /api/auth/register
• Auth — none
• Rate limit — 10/min
• Version — 2.0
• Precision — ≤0.1% (KO42-enforced)

What it does

Your equation IS your identity. Enter a mathematical equation — it's evaluated at HulyaPulse constants (x=1.287, y=0.777), SHA-256 hashed, and your ZID is derived. The equation is NEVER stored.

Signature

Request

POST /api/auth/register

Param	Type	Required	Default	Description
equation	string	✓	—	Mathematical equation (max 500 chars). Supports sin, cos, tan, sqrt, log, exp, pi, e, phi, x, y.
displayName	string	✓	—	Public display name.

Response

{ token, zid, displayName, avatarColor, equationHash }

Runnable example

curl -sS -X POST \
  -H "Content-Type: application/json" \
  -d '{
  "equation": "<value>",
  "displayName": "<value>"
}' \
  "https://api.zeq.dev/api/auth/register"

Integrate

1. Equation-identity login — derive auth state from a protocol call instead of a static token.
2. Reputation overlay — couple identity scores into the Master Equation via ZRO seeds.
3. Federation bridge — share identity proofs across trust domains using pulse alignment.

Seeds

• Near — wrap /api/auth/register in a language SDK so builders can call it in three lines.
• Medium — publish a reference integration demonstrating Zeq Auth — Register alongside a real workload, with pulse-aligned metrics.
• Far — propose Zeq Auth — Register as an open reference standard so other runtimes can implement it verbatim against the Zeq paper.

Papers

• Zeq paper — https://doi.org/10.5281/zenodo.18158152
• Framework paper — https://doi.org/10.5281/zenodo.15825138

Middleware active. Kernel on the 1.287 Hz HulyaPulse. Awaiting next Zeqond.