HTTP / curl

The framework is a hosted HTTP API. Every SDK on this page is a thin wrapper. If your language isn't listed, hit the routes directly — the wire format is stable, documented, and identical across every SDK.

First call — GET /api/zeq/pulse

curl -sS https://zeqapi.com/api/zeq/pulse | jq

{
  "pulseHz":            1.287,
  "zeqond":             "2287568432",
  "phase":              0.523,
  "R_t":                1.000372,
  "modulation":         "α sin(2π·1.287·t)",
  "timeToNextZeqond":   0.392
}

No authentication. Sub-30 ms response. Run it from a watch, a router, a satellite — the entangled state doesn't care.

Authed call — POST /api/zeq/compute

curl -sS https://zeqapi.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "operators": ["KO42", "QM5", "GR40"],
    "domain":    "cross",
    "inputs":    { "t": 0 }
  }'

Response carries:

Field	Shape
value / unit / uncertainty	numeric
zeqProof	sha256
zeqState	object — domain, masterEquation, operator sequence
compliance	zeq.compliance.v1 — 13-standard envelope
meta.zeqond	the canonical Zeqond the row landed at

Master-equation solve — POST /api/framework/solve

The compute endpoint above (/api/zeq/compute) returns a single textbook-formula value. To run the master equation itself and get a full trajectory + register dump, hit /api/framework/solve:

curl -sS https://zeqapi.com/api/framework/solve \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "prompt":  "feather drop",
    "mass":    1e-4,
    "location":"earth",
    "medium":  "air",
    "koSettings": { "KO42": 1.0 }
  }'

Response carries the trajectory plus a structured register dump:

{
  "ckoId": "...", "errorPct": 0.0019, "energy": 1.3239,
  "tEval": [...], "solution": [...],          // φ(t), downsampled
  "functionalEnergy": 20895.43,               // E = P_φ · Z(M, R, δ, C, X)
  "functionalEnergyTerms": { "P_phi": ..., "Z": ..., "M": ..., "R": ..., "delta": ..., "C": ..., "X": ... },
  "registerDump": {
    "phi_final": ..., "phi_range": ..., "frequency_Hz": ..., "period_s": ...,
    "energy_K_mean": ..., "energy_U_mean": ..., "momentum_final": ...,
    "angular_proxy_mean": ..., "zeroCrossings": ...
  }
}

For N-body (Sun-Earth-Moon style):

curl -sS https://zeqapi.com/api/framework/multibody \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "prompt": "sun-earth-moon",
    "bodies": [
      { "mass": 1.989e30, "location": "sun",   "object": "sun"   },
      { "mass": 5.972e24, "location": "earth", "object": "earth" },
      { "mass": 7.342e22, "location": "moon",  "object": "moon"  }
    ],
    "koSettings": { "KO42": 1.0, "NM21": 0.5, "GR35": 0.3 }
  }'

Returns N per-body register dumps + N·(N−1)/2 pairwise force/separation summaries.

See the framework API reference for the full request schema and every optional flag (useOperatorModules, coreOnly, referenceMode, pairwiseCoupling, …).

Verify a proof — no auth required

curl -sS https://zeqapi.com/api/zeq/prove/verify \
  -H "Content-Type: application/json" \
  -d "@./proof.json"

Public endpoint. A regulator with a saved envelope can verify it offline against the original proof — no key, no DB lookup, no contact with the framework owner. See POST /zeq/compliance/verify for the envelope-level verifier.

Universal headers

Header	Meaning
Authorization: Bearer <key>	Account API key (zeq_ak_*) for /api/zeq/*
Authorization: Bearer <zsm-key>	State-machine key (zsm_*) for /api/chain/<slug>/*
X-Zeq-Origin	Returned on every response — names the api-core that served it
X-Zeq-Compliance-Envelope	Returned on every compute — the envelope ID for SIEM scrapers

Where to go

• Hosted API reference — every route, body, response, error.
• Pick a language wrapper from the strip on the SDK home — same calls, less typing.
• Build → Quickstart → Spin up — register, get keys, send your first compute in 60 s.