You would want to also dig the twitter.com. When getting a reply from the authoritative server (the additional section) you will also get an SOA record.
;; Truncated, retrying in TCP mode.
; <<>> DiG 9.8.2rc1-RedHat-9.8.2-0.23.rc1.el6_5.1 <<>> @ns3.p34.dynect.net twitter.com -t any
; (1 server found)
;; global options: +cmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: NOERROR, id: 5553
;; flags: qr aa rd; QUERY: 1, ANSWER: 23, AUTHORITY: 0, ADDITIONAL: 0
;; WARNING: recursion requested but not available
;; QUESTION SECTION:
;twitter.com. IN ANY
;; ANSWER SECTION:
twitter.com. 30 IN SOA ns1.p26.dynect.net. zone-admin.dyndns.com. 2007116775 3600 600 604800 60