art-checkout-fulfillment

[supple jackal]

@olive umbra we don't have a direct API for this no, usually you store that information in your database

[olive umbra]

the only to tell if the payment was sucessfully in the check out is checking the "sucess url" from the check out?

[supple jackal]

Not really, I'm sorry the way you framed the question was a bit vague as there are dozens of ways to integrate our products and APIs. Usually you as the developer will store that information in your own database after a successful payment.
Assuming you are using Checkout based on what you said you should look at https://stripe.com/docs/payments/checkout/fulfill-orders which explains how to handle fulfillment after a successful payment, that's when you would store this information in your databse