Did you mean shite?
Examples
“You DO know what the word shat is past-tense of, right?”
“It was as if a walk in the park on a beautiful day was 'shat' upon by the demon of unhappiness.”
“Ooooh he said "shat" heee hee Why don't you use this blog for something positive for this city and actually discuss the issues, rather than putting people down for being political activists and trying to make a difference.”
“My "self-assured" "shat" was not at all different from Keith's attitude towards the film.”
“Not to mention plastering words beginning with "shat -" onscreen.”
“Who else would you like to see artistically aged? please shatter my TV then lodge the pieces in my now useless brain sort of way, but this time William Shatner and Show Me the Money have officially taken their ongoing quest to make '' shat '' happen too far.”
“Which anagrams to "shat," which has nothing to do with anything really, except that it would've been a perfect segue if somebody had worn millinery that looked like a creature had relieved itself messily on his / her (most likely her) hair.”
“He caught site of his shadow last week and shat himself.”
Matthew Yglesias » GOP Members of Congress Have Never Watched Television, Movies
“Meaning, of course, that the rest of us are swine, not worthy of their secret little God-shat pearls of wisdom (as mentioned in that noted work of fiction, the New Testament).”
“I voted for his wisdom, which he has since shat upon.”
Lists
These user-created lists contain the word ‘shat’.

bilby What?! Next you'll be telling me rodeo clowns aren't laughing gas in jodhpurs. Dec 21, 2010
yarb There's nothing funny about funny cars, bilby, and well you know it. Dec 20, 2010
bilby C'mon yarb, it's humorous like, uhm, funny cars. Yanno? Dec 20, 2010
ruzuzu Huh. According to Wikipedia, William Shatner was born March 22, 1931, in Montreal. Dec 18, 2010
yarb FWIW, it's not humorous anymore. At least in the UK, it's standard past tense of shit. Totally normal. Dec 18, 2010
yarb Well fuck me. Dec 18, 2010
yarb How recently formed is shat? I didn't think it was recent at all. Dec 18, 2010
ruzuzu I find it endearing only when it's used as a nickname for William Shatner. See The Shat. Nov 13, 2010
pterodactyl The OED defines "shat" as "an obsolete term of endearment used in addressing an Irish person", and gives the example "Come hither shat, are you an Irish mon?"
Maybe it's just me, but I don't really find it all that endearing... Nov 13, 2010
pterodactyl I agree with milos. It is fascinating. I wonder how recently it emerged, and whether it's contemporaneous with "spat" (as the past tense of "spit"). Nov 13, 2010
marky i find shit fascinating too. Nov 13, 2010
milosrdenstvi I find this word to be a fascinating example of a recently-formed irregular verb. Nov 13, 2010
bilby Pro's in charge of sleep? Now we're really in strife. Aug 2, 2008
Prolagus (*hopes he's finally sleeping*)
I am the official night guard of this place. I have to make sure Wordies sleep well and enough. Aug 2, 2008
darqueau why are you asking me this BTW?
I'm in no condition to respond coherently. Aug 2, 2008
darqueau you really want to know pro...?
I've been out dancing all night with hot boys (and girls)...!
Brighteyes is a whiny emo hipster. I Love Him almost as much as I abhor him. Aug 2, 2008
Prolagus Darqueau, why aren't you sleeping?! Go to bed!
("I'm wide awake, it's morning".) Aug 2, 2008
darqueau Dr. Shat Aug 2, 2008
yarb I was given a suppository and told to keep it in for 20 minutes. I got cramp up the arse and shat after 5 minutes.
- Peter Reading, C, 1984 Aug 2, 2008
linguista88 It does make sense that it follows the pattern of sit and sat. My question is why doesn't 'fit' follow the same pattern? I can definitely see the relationship between 'fit' and 'fat'. Sep 18, 2007
reesetee How about "shot"?
Wait...never mind. Feb 21, 2007
chained_bear "Falsely formed"? I think it sounds way better than shitted, don't you? Feb 21, 2007
stpeter Supposedly, the past tense of shit, falsely formed on the model of sit and sat. But it's amusing nonetheless. Feb 21, 2007