Andrew, I think you must have been experiencing a temporary issue.
$ whois nic.li
whois: This information is subject to an Acceptable Use Policy.
See http://www.nic.ch/terms/aup.html
Domain name:
nic.li
Holder of domain name:
SWITCH
D'Alessandro Marco
Marketing & PR
Werdstrasse 2
CH-8004 Züric
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https://bugs.launchpad.net/bugs/745601
Title:
Update whois server for .li TLD
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