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Mastodon is not build on ICMP, but HTTPS over TCP/IP. It takes several packages, to resolve the IP address of a webserver, establish a TCP connection and download its SSL certificate. For ease of use, let's assume an average connection setup time of 40ms before you can send any actual HTTP requests and 10ms to make the request (note: several HTTP requests can be send over an established connection). So in the worst case, we end up with 50ms to get something from a server.