No IANA assignment, no well-known service — an unremarkable high port.
IANA has nothing registered on 9968, and Nmap's database lists it as unknown, open on about 0.04% of scanned hosts. The nearest registration in the range is 9966 (odnsp, OKI Data's network setting protocol), which has no bearing on 9968. Anything answering here is application-specific and needs to be identified from its banner.
Expose with care
Unknown protocol, unknown auth. Identify the owning process before treating the port as safe to expose.
$ nmap -sV -p 9968 TARGETSeen this on your network? Beige Box scans your Wi-Fi and shows every open port on every device — and its Ports tool links straight back here.
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Corrections or a missing port? Reply @rimrocksystems.