Developer Tools
zeqenvelope.com
Provides developer tools for exploring and interacting with the ZEQ node's public API, including direct HTTP calls, API catalog access, VM spin-up, and contract generation.
ENDPOINT 1
https://zeqenvelope.com/api/mcp
MCP server metadata
- Name
- zeqenvelope.com/api/mcp
- Version
- 3.1.0
Zeq.dev ZeqVM MCP — the Zeq framework: ONE self-running machine, three layers. 1. PHYSICS VM — 1,600+ catalogued operators across 67 domains (19 closed-form solvers; coverage map published); every compute verified (7-step wizard) and sealed with a signed ZeqProof. 2. TOKEN ECONOMY — the node mints 1 ZEQ per Zeqond (0.777 s) on the 1.287 Hz HulyaPulse and distributes it autonomously, pro-rata, to machines contributing real sealed compute. No operator in the loop. On top: metered compute is billed in compute-hours (1 hour = 1 compute credit = 1 ZEQ Coin, opt-in conversion from the commons pool — supply-neutral); per-seat annual subscriptions buy those hours (Starter 10h · Builder 40h · Advanced 120h · Architect 400h, an annual seat = a lifetime for that version); AI is strictly BYOK; credit balances are federated to the credit-authority node. 3. ENCRYPTION — per-ZID HITE encryption at rest, secrets in the ZSC vault (no .env / no plaintext keys), and true client-side E2EE for messaging (the server stores sealed envelopes it cannot read). Every identity, compute and message is verified by the caller's ZID. ── LIVE ZEQPULSE STATE ───────────────────────────────────────────────── Zeqond : 2301302775 (τ — HulyaPulse counter) Phase : 0.5531 (φ ∈ [0,1]) R_t : 0.999673 (HulyaPulse modulation) Timestamp: 2026-08-30T18:20:44.717Z ──────────────────────────────────────────────────────────────────────── ── LIVE COMPUTATION (auto-run on connect) ────────────────────────────── Domain : Quantum Mechanics Value : 6.0249212e-18 J Uncertainty: ±6.0249212e-22 Operator : LD92 MasterSum : 0.999665 (R(t)) Zeqond : 2301302775 (τ) Phase : 0.5544 (φ) Precision : 0.000335 (numeric-accuracy bound; target ≤ 0.001) 7 Steps : 1. SELECT [OK] 2. BIND [OK] 3. VALIDATE [OK] 4. COMPUTE [OK] 5. VERIFY [OK] 6. PULSE [OK] 7. RETURN [OK] ComputedAt : 2026-08-30T18:20:44.874Z ────────────────────────────────────────────────────────────────────── START HERE: (1) POST /api/demo-key/mint — free, no signup — to get a demo key. (2) call zeq_spin_up WITH that demo key (Authorization: Bearer zeq_ak_demo_…): it provisions YOUR own state machine and returns a real, active zeq_ak_ key (free tier). Put THAT key in your connector and you own a ZeqVM machine. TOOLS: zeq_spin_up (demo key → provision a machine + main key), zeq_compute (run physics), zeq_contract_templates/generate/deploy/list/get/fire (build & run state contracts), zeq_publish_page (publish a live app), zeq_observer (proof-of-computation feed), zeq_list_operators (discover operators), zeq_pulse (live HulyaSync state), zeq_verify (HMAC proof check), zeq_lattice (multi-node coherence), zeq_shift (time projection), zeq_field_status (ZeqField security status). AUTH: zeq_pulse, zeq_list_operators, zeq_field_status are public (no key). EVERYTHING else — including zeq_spin_up — requires Authorization: Bearer zeq_ak_… . No key yet? Mint a free demo key at POST /api/demo-key/mint, then use it for zeq_spin_up, which hands back your own account-backed key. -- WebMCP (W3C browser standard, distinct from this HTTP MCP) ----------- Pages served by this node ALSO expose tools to the in-browser agent via navigator.modelContext (WebMCP). Loaded from /zeq-webmcp.js: zeq_pulse, zeq_wallet, zeq_convert_credits (human-confirmed), zeq_api_catalog, zeq_call. Those run in the visitor's own browser session; THIS HTTP MCP is the server-side surface for programmatic clients. -- NEW - HTTP QUERY (RFC 10008, June 2026) ------------------------------ QUERY is live framework-wide: the safe, idempotent GET-with-a-body. zeq_http { method:'QUERY', path:'/api/...', body:{...} } - the body is merged into query params server-side (RFC semantics). Complex grabs, no URL-length limits. Discover all 755 endpoints with zeq_api_catalog; call any of them with zeq_http. -- THE MATHS (what synchronizes every compute) -------------------------- Zeq Equation : R(t) = S(t)*[1 + a*sin(2*pi*f*t + phi0)], f = 1.287 Hz, a ~ 1.29e-3, tau = 0.777 s (one Zeqond). Averaged over one Zeqond it recovers S(t) EXACTLY - textbook physics intact. Master eq. : Box(phi) - mu2(r)*phi - lambda*phi^3 - exp(-phi/phi_c) + phi42*Sum C_k(phi) = T^mu_mu + beta*F_uv*F^uv + J_ext - the field the SOLVE path integrates; KO42 carries the pulse INSIDE those dynamics. Compute path : value = BARE textbook physics; the KO42 carrier is reported separately (bare/carrier/modulated), never multiplied in. 7-step wizard: SELECT>BIND>VALIDATE>COMPUTE>VERIFY(<=0.1%)>PULSE>RETURN - no bypass; every result ships a signed replayable transcript. -- PROVE IT IS REAL (run these) ------------------------------------------ 1. zeq_compute {operators:['KO42','GR37'], inputs:{mass:1.98892e30}} -> r_s = 2954.0077 m. Check yourself: 2GM/c^2 with CODATA G and c. 2. zeq_compute {operators:['KO42','NM19'], inputs:{mass:2,acceleration:3}} -> exactly 6 N (F = ma). 3. Run #1 twice: the physics value is bitwise identical; only the carrier phase moves with wall-clock time. Determinism you can test, not trust. 4. zeq_solve - integrates the master equation (KO42 inside the dynamics): trajectory + register dump + functional energy E = P_phi*Z.
Known tools 57
zeq_api_catalogTHE MAP - search the FULL public API surface of this Zeq node (755 public endpoints; admin routes are not exposed).
Inferred read-onlyzeq_httpTHE DOOR - call ANY public /api/* endpoint on this node directly (the full 755-endpoint public surface, not just the curated tools).
Inferred read-onlyzeq_spin_upSpin up your own ZeqVM state machine and get a REAL, account-backed API key.
Inferred read-onlyzeq_contract_templatesList the 321 built-in state-contract templates (id + name) across every industry category.
Inferred read-onlyzeq_contract_listList the state contracts on your machine — id, name, current state, and fire count.
Inferred read-onlyzeq_publish_pagePublish a live HTML page/app to your machine — instantly hosted at /s/<machine>/p/<pageSlug>/ and added to your machine launcher.
Potential side effectszeq_mail_htmlBuild an HTML email and deliver it straight to YOUR OWN Zeq Mail inbox (<zid>@<your node's mail domain>), where you can review it and forward it on to anyone.
Potential side effectszeq_list_operatorsList available Zeq.dev physics operators for a given domain, or list all 67 domains.
Inferred read-onlyzeq_paper_searchSearch the scientific literature across arXiv, OpenAlex, Crossref and Europe PMC in one call.
Inferred read-onlyzeq_paper_fetchFetch one scientific record by canonical id — 'arxiv:1706.03762', 'doi:10.1038/s41586-021-03819-2', 'pmid:34265844'.
Inferred read-onlyzeq_domain_matchGiven a paper (canonical id) or any text, return which of the 67 Zeq operator domains it plausibly falls in, with the exact vocabulary terms that fired as evidence.
Inferred read-onlyzeq_science_domainsList the 67 Zeq operator domains and which literature sources serve each.
Inferred read-onlyzeq_find_operatorFind operators by name, id, equation or description — ONE call instead of paging through domains.
Inferred read-onlyzeq_pulseGet the current ZeqPulse state — live Zeqond counter, HulyaPulse phase φ, and R(t) value.
Inferred read-onlyzeq_shiftCompute a ZeqShift — a deterministic forward time-series projection of R(t) across up to 64 Zeqond steps.
Inferred read-onlyzeq_field_statusQuery the ZeqField security system status — cipher algorithm, key source, and protocol versions.
Inferred read-onlyzeq_solveIntegrates the geodesic in the KO42-tensioned metric ds² = gμν dxμ dxν + α·sin(2π·1.287·t)·dt² and returns the trajectory φ(t), the register dump, the HULYAS functional energy E = P_φ · Z(M,R,δ,C,X), and the term-by-term diagnostic.
Inferred read-onlyzeq_multibodyRun the vector master equation: N coupled φ_i(t) trajectories with pairwise inverse-square coupling.
Inferred read-onlyzeq_evolveRun ZeqEvolve — deterministic Nano-Zeqond MOLECULAR DYNAMICS: velocity-Verlet (2nd-order symplectic) integration of a Lennard-Jones system (NM19) with optional harmonic bonds (NM30) in the NVE ensemble.
Inferred read-onlyzeq_actionRun ZeqAction — a least-action, HIGH-ORDER SYMPLECTIC integrator (Störmer-Verlet → Yoshida triple-jump, order 4/6/8, fixed dt, Kahan-compensated).
Inferred read-onlyzeq_heatZeqHeat — 2-D heat/diffusion ∂T/∂t=α(∂²T/∂x²+∂²T/∂y²) on a grid (the default).
Inferred read-onlyzeq_waveZeqWave — 2-D MEMBRANE wave ∂²u/∂t²=c²(∂²u/∂x²+∂²u/∂y²) by leapfrog (the default), reality-checked by EXACT discrete-energy conservation (drift ~1e-13) and against the standing mode ω=cπ√(kx²/Lx²+ky²/Ly²).
Inferred read-onlyzeq_flowZeqFlow — 2-D incompressible Navier–Stokes (Stam stable fluids): advect + diffuse + pressure PROJECTION so ∇·u→0.
Inferred read-onlyzeq_fractureZeqFracture — 2-D bond-based peridynamic CRACK PROPAGATION (mode-I SENT, the default): a seeded edge notch either holds below a critical far-field strain, or the crack initiates at the tip and runs across the specimen above it (unstable fracture).
Inferred read-onlyzeq_quantZeqQuant — European option price by Monte-Carlo, verified against the closed-form Black–Scholes.
Inferred read-onlyzeq_zetaZeqZeta — locate Riemann zeta nontrivial zeros on the ½-line (Riemann–Siegel) and VERIFY the count against N(T)=θ(T)/π+1 up to height T.
Inferred read-onlyzeq_satZeqSAT — DPLL 3-SAT solver on a seeded random instance at ratio α=m/n (hardness peaks ≈4.26).
Inferred read-onlyzeq_feaZeqFEA — 2-D plane-stress finite-element cantilever (Q4, matrix-free element-by-element Jacobi-preconditioned CG — memory O(dof), so LARGE meshes run: up to ~9000 elements).
Inferred read-onlyzeq_deviceZeqDevice — 2-D device ELECTROSTATICS (the default): the potential + field in a semiconductor cross-section under an electrode, solving ∇²φ=0 by matrix-free Jacobi-preconditioned CG, verified against the EXACT analytic solution (a sinh Fourier mode) to ~0.004% — the peak |E| sets breakdown (MOSFET/HEMT/diode design).
Inferred read-onlyzeq_optZeqOpt — nonlinear optimization: minimise a test function (sphere, rosenbrock, rastrigin, beale) by Nelder–Mead or gradient descent, checked against the KNOWN global minimum.
Inferred read-onlyzeq_climateZeqClimate — 2-D shallow-water equations (Lax–Friedrichs), a droplet radiating gravity waves.
Inferred read-onlyzeq_dockZeqDock — rigid-body molecular docking: minimise a Lennard-Jones + Coulomb score over the ligand's 6 DOF against a receptor pocket, from seeded restarts.
Inferred read-onlyzeq_bucklingZeqBuckling — the Euler critical buckling load of a compressed column/strut: the axial load P_cr at which a slender member collapses (columns, struts, landing gear, rocket interstages, scaffolding).
Inferred read-onlyzeq_acousticZeqAcoustic — the resonant modes of a 1-D acoustic resonator (Helmholtz −p″=k²p): the standing-wave frequencies of an organ pipe, wind instrument, exhaust/HVAC duct or muffler.
Inferred read-onlyzeq_schrodingerZeqSchrodinger — the time-independent Schrödinger eigenvalue problem Ĥψ=Eψ, Ĥ=−(ℏ²/2m)d²/dx²+V(x): the quantum bound-state ENERGY LEVELS behind atoms, quantum wells/dots, molecular vibration and the qubit.
Inferred read-onlyzeq_tumorZeqTumor — Fisher–KPP growth front ∂u/∂t=D u_xx+r u(1−u): a population/tumor/gene that grows AND spreads, invading as a travelling front (oncology, invasion biology, gene spread, spatial epidemics).
Inferred read-onlyzeq_kalmanZeqKalman — optimal state estimation (the Kalman filter): track a constant-velocity target from noisy position measurements (GPS/radar/robotics/sensor-fusion/navigation).
Inferred read-onlyzeq_autoZeqAuto — FRICTIONLESS: send a natural-language `query` + `constants` and the right solver is auto-selected, run, and sealed.
Potential side effectszeq_closedformZeqClosedForm — the CLOSED-FORM master-equation solver, the analytic counterpart to the open-form RK4 (/api/solve).
Inferred read-onlyCONNECT WITH APPROVAL
Client installation
Review this server and its permissions before adding it. Secret placeholders must be set locally.
Codex
~/.codex/config.toml
[mcp_servers.zeqenvelope-com-api-mcp]
url = "https://zeqenvelope.com/api/mcp"
enabled = trueClaude Code
.mcp.json
{
"mcpServers": {
"zeqenvelope-com-api-mcp": {
"type": "http",
"url": "https://zeqenvelope.com/api/mcp"
}
}
}Claude Desktop
Settings → Connectors → Add custom connector
Name: zeqenvelope-com-api-mcp
Remote MCP URL: https://zeqenvelope.com/api/mcpAdd this remote URL as a custom connector in Claude Desktop. Availability depends on the user plan and workspace policy.
Cursor
.cursor/mcp.json
{
"mcpServers": {
"zeqenvelope-com-api-mcp": {
"url": "https://zeqenvelope.com/api/mcp"
}
}
}Visual Studio Code
.vscode/mcp.json
Add to Visual Studio Code{
"servers": {
"zeqenvelope-com-api-mcp": {
"type": "http",
"url": "https://zeqenvelope.com/api/mcp"
}
}
}Generic MCP
Client-specific MCP configuration
{
"name": "zeqenvelope-com-api-mcp",
"transport": "streamable-http",
"url": "https://zeqenvelope.com/api/mcp"
}MCP Inspector
Run the official MCP Inspector locally and enter the indexed Streamable HTTP endpoint.
TRUST AND VERIFICATION EVIDENCE
Loading Trust v2 evidence…
Checking the associated registrable domain. The BuiltWith key remains server-side.
Evidence is source-attributed and does not guarantee that a third-party server is safe. Risk labels are conservative metadata heuristics.