The few following manifests present how asciinema-server on Kubernetes, with a caching nginx reverse proxy (which also does the requests against the S3 endpoint, for cases where the S3 server is not publicly accesible).
For more details regarding the S3 proxying, check https://github.com/asciinema/asciinema-server/pull/363/files#diff-10557452cffb1028618b3bc1bfdd9f01d79642fe2823dc078f5208a0121b8495