Hi there! I understand that you're experiencing an authentication error while trying to connect to Gotham Sports, specifically the error code 0-v1.10(3.0.317)A1-gg1011 on Apple TV. Let's work through this together.

1. Check Account Entitlements: This error may be related to having multiple entitlements associated with your account. I suggest checking if your account is correctly set up with your TV provider. You can reference this Gotham Sports Support Article for additional insight.

2. Log Out and Back In: Sometimes a simple re-login can solve authentication issues. Try logging out of the Gotham Sports app on your Apple TV, and then log back in using your TV provider credentials.

3. Update the App and Device: Make sure that both your Apple TV and the Gotham Sports app are updated to the latest versions. This can often resolve compatibility issues.

4. Network Connection: Verify that your Apple TV has a good internet connection. You can try connecting to a different network to see if that resolves the issue.

5. Test Other Devices: If you have access to another device (like a smartphone or tablet), try logging into the Gotham Sports app there using the same credentials to check if the issue is isolated to your Apple TV.

If you've tried the above steps and the problem persists, it could be a broader issue with the app. In that case, I recommend reaching out to Gotham Sports support directly at [email protected] for more in-depth assistance.

Are you satisfied with the solutions I provided? Let me know if you need further help!