Self-hosted Airbyte resiliency

What is the self-hosted Airbyte resiliency in case of k8s pod (worker) is lost?
Does the incremental cursor persist after such lost?

Yes, cursor fields are stored in the Airbyte database. If the worker/connection pod is lost and a new sync will reuse latest cursor field from database.

Thanks @marcosmarxm ,
can you please direct me to a reference in the docs about that?

Please check our docs: https://docs.airbyte.com/understanding-airbyte/jobs is one but read others in Understand Airbyte section.