Poisson
by Poisson distribution in Other
Poisson distribution with rate `lambda` (> 0, ≤ 1e9). `function` selects the mass (pmf), cumulative distribution (cdf) or quantile / inverse-CDF.
https://distribution.openverbs.com/v1/poisson- Price
- $0.004
- per call in USDC
- Uptime
- 100%
- last 30 days
- Response time
- 566 ms
- 658 ms slowest 5%
- Last check
- Passed
- 4 h ago, next any minute now
Reliability
Status and outage history · Atom feed · Watch with other listings
How to call it
POST https://distribution.openverbs.com/v1/poisson
Each call costs $0.004 in USDC on Base, paid with the request over x402.
Run a free test callOne unpaid request, the way an agent sends it. You see the payment challenge it gets back. Nothing is charged.
Example request
From the listing.
POST https://distribution.openverbs.com/v1/poisson
content-type: application/json
{
"function": "pmf",
"lambda": 1,
"x": 1
}Parameters
| Parameter | Type | Required | Description |
|---|---|---|---|
function | string | Yes | One of: pmf, cdf, quantile. |
lambda | number | Yes | Rate λ > 0. |
x | number | Yes | Count k (integer for pmf) for pmf/cdf, or the probability p ∈ (0,1) for quantile. |
Example response
The listing has no example response.
Call it from code
The curl command shows the payment challenge. The JavaScript and Python versions pay and call, and never pay more than $0.004.
curl: see the payment challenge
# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i -X POST 'https://distribution.openverbs.com/v1/poisson' \
-H 'content-type: application/json' \
--data-raw '{"function":"pmf","lambda":1,"x":1}'
# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - -X POST 'https://distribution.openverbs.com/v1/poisson' \
-H 'content-type: application/json' \
--data-raw '{"function":"pmf","lambda":1,"x":1}' \
| grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decodeJavaScript: pay and call
// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";
// Pays at most $0.004 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.004" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);
// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.004 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fdistribution.openverbs.com%2Fv1%2Fpoisson&method=POST
const res = await pay("https://distribution.openverbs.com/v1/poisson", {
method: "POST",
headers: { "content-type": "application/json" },
body: JSON.stringify({
"function": "pmf",
"lambda": 1,
"x": 1
}),
});
console.log(res.status, await res.text());Python: pay and call
# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client
# Pays at most $0.004 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.004"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))
with x402_requests(client) as session:
res = session.post(
"https://distribution.openverbs.com/v1/poisson",
json={
"function": "pmf",
"lambda": 1,
"x": 1,
},
)
print(res.status_code, res.text)Security scan
No findings
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Recent checks
| When | Result | HTTP | Time | Price |
|---|---|---|---|---|
| 4 h ago | Passed | 402 | 565 ms | $0.004 |
| 9 h ago | Passed | 402 | 575 ms | $0.004 |
| 15 h ago | Passed | 402 | 658 ms | $0.004 |
| 20 h ago | Passed | 402 | 677 ms | $0.004 |
| 25 h ago | Passed | 402 | 596 ms | $0.004 |
Show 10 older checks
| 30 h ago | Passed | 402 | 552 ms | $0.004 |
| 34 h ago | Passed | 402 | 566 ms | $0.004 |
| 39 h ago | Passed | 402 | 567 ms | $0.004 |
| 44 h ago | Passed | 402 | 553 ms | $0.004 |
| 2 days ago | Passed | 402 | 599 ms | $0.004 |
| 2 days ago | Passed | 402 | 564 ms | $0.004 |
| 2 days ago | Passed | 402 | 585 ms | $0.004 |
| 3 days ago | Passed | 402 | 593 ms | $0.004 |
| 3 days ago | Passed | 402 | 624 ms | $0.004 |
| 3 days ago | Passed | 402 | 559 ms | $0.004 |