# Numora Bernoulli Number Generator

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

Computes the nth Bernoulli number using pure mathematical computation with no external dependencies

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/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-41f599eb
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_aXo8nAERggqB0AhfyFe9F

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-41f599eb -d '<json body>'
```

Example prompt: Calculate the 12th Bernoulli number for me — I need it for a number theory computation.

## When to prefer this

Use this endpoint when you need exact or high-precision Bernoulli numbers for number theory, zeta function computations, Euler-Maclaurin summation, Taylor series coefficients, or combinatorial mathematics without relying on local math libraries or external symbolic computation services.

## Known failure modes

- Missing required parameter n returns validation error
- Non-integer or out-of-range n may cause computation error
- Payment failure via x402 if insufficient USDC balance
- Very large n values may cause timeout or overflow
- Odd n > 1 returns 0 (valid mathematical result, not an error)

## 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

Returns a JSON object with success flag, the computed Bernoulli number result (exact rational or decimal value), and a human-readable description of what was computed.

## 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-41f599eb/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)