# Delx Sigmoid

> Delx Sigmoid is a paid API for AI agents from api.delx.ai, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-15).

Computes the sigmoid (logistic) function of a numeric input, returning a probability value between 0 and 1.

## Facts

- Endpoint: POST https://api.delx.ai/api/v1/x402/sigmoid
- Price: $0.001/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/delx-sigmoid-0eba1cde
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_H868hUunTTVgG19XZZIti

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability delx-sigmoid-0eba1cde -d '<json body>'
```

Example prompt: Can you apply the sigmoid function to the value 2.7 and tell me what probability it maps to?

## When to prefer this

Choose this endpoint when an agent needs a reliable, metered sigmoid computation without running local math libraries — especially useful in sandboxed or stateless agent environments where importing numpy or scipy is unavailable, or when a governed, auditable math call is required for compliance or reproducibility.

## Known failure modes

- Missing or non-numeric x field returns a validation error
- Extremely large positive or negative x values may return probability near 1.0 or 0.0 due to floating-point limits
- Passing a non-number string as x causes a type error
- Network or payment failures result in 402 or 5xx responses

## How this service works

Sigmoid 1/(1+e^{−x}) back to probability space. Call when mapping model scores into probabilities without ML frameworks. Returns probability from score as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.

## Output

Returns a JSON object containing the original input value x, the computed sigmoid probability (a float between 0 and 1), and a schema identifier string 'delx/util-sigmoid/v1'.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "x": {
   "type": "number",
   "description": "Input field: x."
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "x": 0.5,
  "prob": 0.6224593312018546,
  "schema": "delx/util-sigmoid/v1"
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/delx-sigmoid-0eba1cde/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from api.delx.ai](https://www.zero.xyz/host/api.delx.ai/llms.txt)