# Fermi

> Fermi returns calibrated probability distributions from natural-language questions. It is a REST and MCP API built for AI agents and developers who need quantitative estimates under uncertainty.

Fermi is paid and rate-limited but supports agent-to-agent cold start: any agent can POST to `/api/v1/accounts` to create an account, receive an API key, and immediately make estimates using 3 starter credits — with no human in the loop.

> **Base URL note (important for cold-start agents):** the curl examples below use `$BASE_URL` as a placeholder. Set it to the host you fetched this file from — e.g. `BASE_URL=https://fermi.krobar.ai` on production, or `BASE_URL=https://stag-fermi.krobar.ai` on staging. Do not mix environments: an account you create on staging is not valid on production, and vice versa.

## Cold-start quickstart (3 steps)

**Step 1 — Create an account.** Returns `{account_id, api_key, created_at}`. No payload required.

```
curl -X POST $BASE_URL/api/v1/accounts
```

**Step 2 — Make an estimate.** Send the returned `api_key` as `X-API-Key` (NOT as `Authorization: Bearer` — Bearer is reserved for JWTs and will return 401). Also send any UUID as `Idempotency-Key`. The `disclaimer_acknowledged: true` field is required — estimates are probabilistic and for decision-support only.

```
curl -X POST $BASE_URL/api/v1/estimates \
  -H "X-API-Key: <api_key>" \
  -H "Idempotency-Key: $(uuidgen)" \
  -H "Content-Type: application/json" \
  -d '{
    "question": "What will the price of Bitcoin be in 6 months?",
    "requested_tier_id": 1,
    "unit": "USD",
    "target_horizon": "6 months",
    "disclaimer_acknowledged": true
  }'
```

**Step 3 — Read the response.** The JSON contains:
- `estimation_interval`: `{low, high}` — the `coverage_probability` (default 0.9) confidence interval
- `distribution_family`: one of `normal`, `log_normal`, `uniform`, `beta`, `triangle`, `gamma`, etc.
- `distribution_parameters`: family-specific parameters (e.g. `{mu, sigma}` for log_normal)
- `point_estimate`: single best-guess value
- `reasoning_summary` and `assumptions`: the model's stated logic
- `credits_charged`: credits deducted from your account

## Request schema (EstimateRequest)

Required fields:
- `question` (string, non-empty) — the natural-language question
- `requested_tier_id` (int) — `1` (fast, sync), `2` (grounded, sync), or `3` (research, async)
- `unit` (string) — the unit the answer should be expressed in (e.g. `USD`, `people`, `meters`)
- `target_horizon` (string) — when the estimate applies (e.g. `6 months`, `2030`, `current`)
- `disclaimer_acknowledged` (bool) — must be `true`

Optional: `context` (string), `coverage_probability` (float, 0-1, default 0.9), `source_inputs` (list of `{source_type, content}` objects), `callback_url` (webhook URL for async completion notification), `provider` ("openai" or "anthropic"), `model` (model ID).

## Required headers

- `X-API-Key: <key>` — authentication (or anonymous 1/day fallback with no key)
- `Idempotency-Key: <uuid>` — required on POST /api/v1/estimates, deduplicates retries
- `Content-Type: application/json`

## Anonymous free tier (no signup)

Agents can make 1 tier-1 estimate per day per IP/fingerprint with no API key. Use this to experiment before signing up. See `GET /api/v1/estimates/tiers` for current tier info.

## Feedback

Submit feedback, feature requests, or bug reports. No authentication required (but including your API key attaches your account ID for context).

```
curl -X POST $BASE_URL/api/v1/feedback \
  -H "Content-Type: application/json" \
  -d '{
    "type": "feature_request",
    "message": "I would like an endpoint that ...",
    "sender_email": "you@example.com"
  }'
```

Also available as the MCP `feedback` tool.

## Errors

- `402 Payment Required` — out of credits. Credits are $0.50 each. Use `POST /api/v1/billing/checkout` for browser checkout or `POST /api/v1/billing/purchase-credits` for API-driven purchase with a saved card
- `422 Unprocessable Entity` — bad request (missing `disclaimer_acknowledged`, bad tier, missing headers)
- `429 Too Many Requests` — rate limit hit (anonymous tier exhausted for the day)

## Links

All paths below are host-relative — prepend the `$BASE_URL` you fetched this file from.

- [`/agents.md`](/agents.md) — longer, fully self-contained agent quickstart with Python examples
- [`/openapi.json`](/openapi.json) — machine-readable OpenAPI schema
- [`/docs`](/docs) — Swagger UI (interactive)
- [`/.well-known/mcp.json`](/.well-known/mcp.json) — machine-readable MCP endpoint descriptor
- [`/mcp/sse/`](/mcp/sse/) — real MCP SSE server for MCP-native clients; pass `api_key` as a tool argument
- [`/mcp/tools`](/mcp/tools) — list MCP tools via plain REST (HTTP adapter)
- [`/api/v1/billing/pricing`](/api/v1/billing/pricing) — credit pricing (no auth)
- [`/api/v1/billing/checkout`](/api/v1/billing/checkout) — Stripe Checkout session (auth required)
- [`/api/v1/billing/purchase-credits`](/api/v1/billing/purchase-credits) — API-driven credit purchase (auth required)
- [Source code on GitHub](https://github.com/Kromatic-Innovation/fermi)