# Numora Bernoulli Number Generator

> Numora Bernoulli Number Generator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-15).

Computes the nth Bernoulli number using exact rational arithmetic with no external dependencies

## Facts

- Endpoint: POST https://numomo.vercel.app/api/generate/bernoulli
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-bernoulli-number-generator-4d64db7a
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_a2PLREtkf7iPY11Xm39dT

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 numora-bernoulli-number-generator-4d64db7a -d '<json body>'
```

Example prompt: What is the 12th Bernoulli number? Use the Numora math API to compute B(12) exactly.

## When to prefer this

Choose this endpoint when you need an exact, on-demand Bernoulli number for a specific index without setting up a local math library — especially useful for agents doing symbolic math, number theory, or series approximations that require B(n) as a sub-computation. Prefer over general-purpose CAS tools when you need a lightweight, pay-per-call REST call with no auth setup.

## Known failure modes

- Missing required parameter n returns a validation error
- Non-integer or negative out-of-range n may return an error or undefined result
- Very large n values may time out or exceed computation limits
- Payment failure via x402 micropayment returns 402 status before computation begins

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

A JSON object with a boolean success flag, the computed Bernoulli number result (exact rational or floating-point value), and a human-readable string describing what was computed (e.g. 'Bernoulli number B(n)')

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "n"
 ],
 "properties": {
  "n": {
   "type": "integer"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-bernoulli-number-generator-4d64db7a/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)