# DataForge CPK Process Capability Calculator

> DataForge CPK Process Capability Calculator is a paid API for AI agents from dataforge-production-ba33.up.railway.app, paid per call via x402, $0.005/call, status unknown (last checked 2026-10-14).

Computes process capability indices (Cp, Cpk, Cpl, Cpu) given a process mean, standard deviation, and specification limits

## Facts

- Endpoint: POST https://dataforge-production-ba33.up.railway.app/api/cpk?utm_source=zero.xyz
- Price: $0.005/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/dataforge-cpk-process-capability-calculator-a5184a64
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Hpq6_pJLOXigFipmlyqnH

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 dataforge-cpk-process-capability-calculator-a5184a64 -d '<json body>'
```

Example prompt: Calculate the process capability indices for a process with a mean of 10.0, standard deviation of 0.5, lower spec limit of 8.5, and upper spec limit of 11.5.

## When to prefer this

Use this endpoint when you need a fast, low-cost programmatic computation of standard process capability indices (Cp/Cpk) without setting up a full statistical computing environment. Ideal for agents and automation pipelines that perform quality checks, supplier audits, or inline SPC monitoring at scale. Prefer this over manual calculation or heavy analytics platforms when you only need the standard four indices from summary statistics.

## Known failure modes

- Missing required fields (lsl, usl, mean, sigma) result in validation errors
- sigma of 0 causes division-by-zero and an error response
- USL less than or equal to LSL results in invalid specification range
- Payment not included or insufficient USDC results in 402 Payment Required

## How this service works

Low-cost statistical and analytical micro-APIs for agents and operations workflows.

## Output

Returns a JSON object with four process capability indices: Cp (overall process spread vs. specification width), Cpk (process centering and capability), Cpl (capability relative to lower specification limit), and Cpu (capability relative to upper specification limit), all as decimal numbers.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "lsl": {
   "type": "number"
  },
  "usl": {
   "type": "number"
  },
  "mean": {
   "type": "number"
  },
  "sigma": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "cp": 1.3333,
  "cpk": 1.3333,
  "cpl": 1.3333,
  "cpu": 1.3333
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/dataforge-cpk-process-capability-calculator-a5184a64/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from dataforge-production-ba33.up.railway.app](https://www.zero.xyz/host/dataforge-production-ba33.up.railway.app/llms.txt)