ΛXIØM

Governed API Layer

ΛXIØM is the lensbetween code and models.

ΛXIØM Lens is the governed API layer for production LLM systems. Point existing OpenAI Chat Completions clients at api.axiomlens.com/v1 and keep the standard request shape while the ΛXIØM Kernel routes, governs, and records the evidence trail in ΛXIØM Lens Console.

OpenAI-compatible

POST /v1/chat/completions

Change the base URL, keep the Chat Completions shape.

Anthropic-compatible

POST /v1/messages

Use the Messages shape when that is what your client speaks.

Governed response

axiom_governance

Every text answer returns the verdict and evidence trail.

$ curl https://api.axiomlens.com
/v1/chat/completions \
-H "Authorization: Bearer axm_live_..." \
-H "Content-Type: application/json" \
-d '{
"model": "claude-sonnet-4-6",
"max_tokens": 256,
"messages": [
{
"role": "user",
"content": "Use AXIOM to check this deployment decision."
}
]
}'
 
{
"id": "axiom-chatcmpl-…",
"object": "chat.completion",
"created": 1777560000,
"model": "claude-sonnet-4-6",
"choices": [{
"index": 0,
"message": {
"role": "assistant",
"content": "Governed response."
},
"finish_reason": "stop"
}],
"usage": {
"prompt_tokens": 8,
"completion_tokens": 3,
"total_tokens": 11
},
"axiom_governance": {
"action": "allow",
"passed_all": true,
"operator": "oracle",
"tier": "throughput",
"duration_seconds": 0.7
}
}

01 — Core thesis

What ΛXIØM is

ΛXIØM is not another chat surface. It is the control layer between your application and the models it uses: policy-aware keys, model-route decisions, output governance, usage economics, and an audit record for every call.

One governed API key

Customers call ΛXIØM instead of calling every provider directly. One live key works with /v1/chat/completions and /v1/messages while the console owns issuance, revocation, usage, and team access.

Route policy

Requests can move through BYOK, ΛXIØM Consensus, or managed frontier lanes with the route, provider, model, and cost preserved.

Governance on output

The kernel evaluates model responses through tone, grounding, tailing, causal, quality, and domain-specific constraints before returning them.

Decision ledger

Every governed call can write the verdict, route, model, latency, token counts, cost, proof registry, confidence, and assumptions.

A lens before the model

Each prompt is decomposed into structural signal before it reaches an upstream provider. The same API key works with OpenAI Chat Completions and Anthropic Messages clients.

A lens after the model

The kernel reads the response through tone, grounding, tailing, causal, and quality governors. Allowed, repaired, warned, and refused outputs carry axiom_governance.

A lens you can audit

ΛXIØM Lens Console is the console for keys, billing, quota, and the decisions ledger. Every governed call can write the model, verdict, latency, tokens, cost, proof registry version, confidence, and discharged or missing assumptions.

02 — Domain map

Domain map

The public site, API, docs, and console each get a clear home under axiomlens.com.

Public site

axiomlens.com

ΛXIØM Lens home, positioning, and pricing

Kernel API

api.axiomlens.com

OpenAI and Anthropic-compatible governed request path

Documentation

docs.axiomlens.com

Integration reference, routing, limits, and examples

AXIOM Bridge

bridge.axiomlens.com

Governed model choice and substrate gateway policy

Help Desk

help.axiomlens.com

Support intake, implementation triage, and incident handoff

Console

console.axiomlens.com

ΛXIØM Lens Console keys, billing, and decisions ledger

03 — Commercial access

Pricing

Free covers a small BYOK trial. Business starts at $1,500 for governed production traffic. Managed frontier usage is billed at 2.5x to 3x provider token and tool costs.