Create product

var settings = {
  "async": true,
  "crossDomain": true,
  "url": "https://<your_app_subdomain>.user.com/api/public/products-by-id/",
  "method": "POST",
  "headers": {
    "authorization": "Token <your_64_char_api_key>",
    "content-type": "application/json"
  },
  "processData": false,
  "data": "{\n\t\"name\": \"my product\",\n\t\"custom_id\": \"my_product_id\",\n\t\"product_url\": \"https://myshop.com/products/my_product/\",\n\t\"image_url\": \"https://myshop.com/media/products/myproduct.jpg\"\n}"
}

$.ajax(settings).done(function (response) {
  console.log(response);
});

var data = JSON.stringify({
  "name": "my product",
  "custom_id": "my_product_id",
  "product_url": "https://myshop.com/products/my_product/",
  "image_url": "https://myshop.com/media/products/myproduct.jpg"
});

var xhr = new XMLHttpRequest();
xhr.withCredentials = true;

xhr.addEventListener("readystatechange", function () {
  if (this.readyState === 4) {
    console.log(this.responseText);
  }
});

xhr.open("POST", "https://<your_app_subdomain>.user.com/api/public/products-by-id/");
xhr.setRequestHeader("authorization", "Token <your_64_char_api_key>");
xhr.setRequestHeader("content-type", "application/json");

xhr.send(data);

var request = require("request");

var options = { method: 'POST',
  url: 'https://<your_app_subdomain>.user.com/api/public/products-by-id/',
  headers:
   { 'content-type': 'application/json',
     authorization: 'Token <your_64_char_api_key>' },
  body:
   { name: 'my product',
     custom_id: 'my_product_id',
     product_url: 'https://myshop.com/products/my_product/',
     image_url: 'https://myshop.com/media/products/myproduct.jpg' },
  json: true };

request(options, function (error, response, body) {
  if (error) throw new Error(error);

  console.log(body);
});

<?php

$curl = curl_init();

curl_setopt_array($curl, array(
  CURLOPT_URL => "https://<your_app_subdomain>.user.com/api/public/products-by-id/",
  CURLOPT_RETURNTRANSFER => true,
  CURLOPT_ENCODING => "",
  CURLOPT_MAXREDIRS => 10,
  CURLOPT_TIMEOUT => 30,
  CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
  CURLOPT_CUSTOMREQUEST => "POST",
  CURLOPT_POSTFIELDS => "{\n\t\"name\": \"my product\",\n\t\"custom_id\": \"my_product_id\",\n\t\"product_url\": \"https://myshop.com/products/my_product/\",\n\t\"image_url\": \"https://myshop.com/media/products/myproduct.jpg\"\n}",
  CURLOPT_HTTPHEADER => array(
    "authorization: Token <your_64_char_api_key>",
    "content-type: application/json"
  ),
));

$response = curl_exec($curl);
$err = curl_error($curl);

curl_close($curl);

if ($err) {
  echo "cURL Error #:" . $err;
} else {
  echo $response;
}

import requests

url = "https://<your_app_subdomain>.user.com/api/public/products-by-id/"

payload = "{\n\t\"name\": \"my product\",\n\t\"custom_id\": \"my_product_id\",\n\t\"product_url\": \"https://myshop.com/products/my_product/\",\n\t\"image_url\": \"https://myshop.com/media/products/myproduct.jpg\"\n}"
headers = {
    'authorization': "Token <your_64_char_api_key>",
    'content-type': "application/json"
    }

response = requests.request("POST", url, data=payload, headers=headers)

print(response.text)