To check the status you need to read the Smart Transaction:

Request
GET /api/v2/Smart/Transactions/STX_33PXAW2YN2NJTPM5KPGMK7QF5PBVA2 HTTP/1.1
Host: connect-testing.secuconnect.com
Authorization: Bearer qb56tjj1bcvo9n2nj4u38k84lo
Accept: application/json

If everything is fine, the API responds with 200 OK: and the object representation:

Response
HTTP/1.1 200 OK
Content-Type: application/json
  
{
    "object": "smart.transactions",
    "id": "STX_33PXAW2YN2NJTPM5KPGMK7QF5PBVA2",
    // ...
    "transactions": [
        {
            "object": "payment.transactions",
            "id": "PCI_FDBREW9ZS7P6FTN4ZY2ATC6NK0QWO7"
        }
    ],
    "created": "2020-03-27T10:55:23+01:00",
    "updated": "2020-03-27T10:56:41+01:00",
    "status": "ok",
    // ...
"payment_instructions": {
"owner": "secupay AG",
"iban": "DE81850400611005523759",
"bic": "COBADEFFXXX",
"bankname": "Commerzbank CC",
"purpose": "TA 49425099",
"girocode_url": "https://connect-testing.secupay-ag.de/qr/epc?stx=STX_33PXAW2YN2NJTPM5KPGMK7QF5PBVA2"
},
// ...
}

The exact statusses are explained here: Status Flow of a Smart Transaction

This is the status flow of a Smart Transaction for e-commerce orders:

Some of the statusses will be skipped if they are not needed.

Detailed explanation:

Status

Description

created

Newly created Smart Transaction, modified before the payment was actually captured.

approved

The payment is pre-authorised. It should be possible to capture the payment.

Skipped if auto_capture is true.

pending

The payment capture was requested, but is not acknowledged yet. You need to wait for status ok.

Always used with advance payment (prepaid). Can also occur with direct debiting (debit).

ok

The payment capture was approved and you can ship the goods.

failed

Failed to authorise or actually capture the payment.