Observe Anything

1. Your key

Every request (except health) sends your key as a bearer token. Test keys start with tmi_test_ and include 50 calls a month. Live keys start with tmi_live_. Keep keys on your server, never in a browser or app.

export TMI_KEY="tmi_test_..."

2. Solve

Plain words or a formula:

curl https://api.themosti.com/v1/solve \
  -H "Authorization: Bearer $TMI_KEY" \
  -H "Content-Type: application/json" \
  -d '{"question": "x^2 - 5x + 6 = 0"}'

Or a structured problem (no AI step, exact numbers as strings):

curl https://api.themosti.com/v1/solve \
  -H "Authorization: Bearer $TMI_KEY" \
  -H "Content-Type: application/json" \
  -d '{"inputs": {"op": "integral", "expression": "x*exp(x)", "variable": "x"}}'

Response (shortened):

{
  "object": "solution",
  "status": "proved_in_scope",
  "badge": "Proved",
  "answer": "x = 3, x = 2",
  "steps": [{"stage": "Decompose", "text": "Move everything to one side ..."}, ...],
  "verifier": {"id": "sym.roots.v1", "verdict": "confirms", "level": "exact"},
  "passport": {"claim_id": "mi-...", "scope": "all 2 complex roots ..."},
  "via": "pattern",
  "usage": {"ai_calls": 0, "tokens_in": 0, "tokens_out": 0, "cost_usd_estimate": 0}
}

Options: "ai": false never uses the AI reading step. "include_certificate": true adds the machine-checkable certificate. Supported op values are listed in the spec.

3. Observe

Describe something you see. Get the mathematical patterns behind it.

curl https://api.themosti.com/v1/observe \
  -H "Authorization: Bearer $TMI_KEY" \
  -H "Content-Type: application/json" \
  -d '{"subject": "smoke swirling behind a pole"}'

4. Usage

curl https://api.themosti.com/v1/usage -H "Authorization: Bearer $TMI_KEY"

Each 200 from /v1/solve or /v1/observe counts as one call. Errors, and questions with nothing to compute, are not counted. Every response carries X-Quota-Remaining and X-RateLimit-Remaining.

Errors

{"error": {"type": "quota_exceeded", "message": "Monthly quota reached (50 calls) ...", "status": 429}}