fix(env): rename AUTHGATE_CLIENT_ID to CLIENT_ID to match Go SDK

- Rename AUTHGATE_CLIENT_ID env var to CLIENT_ID across examples and README
- Rename AUTHGATE_CLIENT_SECRET env var to CLIENT_SECRET in client credentials example

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: appleboy

README.md

@@ -113,7 +113,7 @@ Set the required environment variables, then run with `uv`:
 
 ```bash
 export AUTHGATE_URL="https://auth.example.com"
-export AUTHGATE_CLIENT_ID="my-app"
+export CLIENT_ID="my-app"
 
 uv run python examples/01_user_login.py
 ```

examples/01_user_login.py

@@ -14,7 +14,7 @@
 import authgate
 
 AUTHGATE_URL = os.environ["AUTHGATE_URL"]
-CLIENT_ID = os.environ["AUTHGATE_CLIENT_ID"]
+CLIENT_ID = os.environ["CLIENT_ID"]
 
 
 def main() -> None:

examples/02_client_credentials.py

@@ -18,8 +18,8 @@
 from authgate.oauth.client import OAuthClient
 
 AUTHGATE_URL = os.environ["AUTHGATE_URL"]
-CLIENT_ID = os.environ["AUTHGATE_CLIENT_ID"]
-CLIENT_SECRET = os.environ["AUTHGATE_CLIENT_SECRET"]
+CLIENT_ID = os.environ["CLIENT_ID"]
+CLIENT_SECRET = os.environ["CLIENT_SECRET"]
 API_URL = "https://api.example.com/data"
 
 

examples/03_fastapi_server.py

@@ -22,7 +22,7 @@
 from authgate.oauth.client import OAuthClient
 
 AUTHGATE_URL = os.environ["AUTHGATE_URL"]
-CLIENT_ID = os.environ["AUTHGATE_CLIENT_ID"]
+CLIENT_ID = os.environ["CLIENT_ID"]
 
 # Build shared OAuth client once at startup.
 _meta = DiscoveryClient(AUTHGATE_URL).fetch()

examples/04_async_login.py

@@ -15,7 +15,7 @@
 import authgate
 
 AUTHGATE_URL = os.environ["AUTHGATE_URL"]
-CLIENT_ID = os.environ["AUTHGATE_CLIENT_ID"]
+CLIENT_ID = os.environ["CLIENT_ID"]
 
 
 async def main() -> None: