Finding a self-hosted model API you can call
A published endpoint names its host, port, and path. This site does that.
A model API you are meant to call is written down. The page names the hostname, the port, and the path, and it includes a request you can repeat. A port that merely happens to be open, with no path and no example, is not a published API.
On this site the catalog is /endpoints/. The short machine-readable list is /llms.txt. The notes link back to the same ports. The hostname is datattention.com, and the address is 194.238.25.127.
Start with a GET that cannot change anything: /v1/models or /api/tags. Then send one small chat or generate body. You do not need a key for either step here.
On this host
These two GETs are the discovery check for this host.
curl http://datattention.com:8000/v1/models
curl http://datattention.com:11434/api/tags
The full list of ports and paths is on the endpoints page.