The flag in Miss Hoover's classroom has 25 stars and 15 stripes. If she wanted to pay homage to the 1796 American flag, there should have only been 15 stars.
Diphtheria is a respiratory condition which is spread by saliva and causes inflammation of the nose.
The words "cromulent" and "embiggen" were both coined by the writers of this episode. Although completely made up, these words have since taken on a life of their own via the Internet and other media. "Cromulent" has also appeared in the Webster's New Millennium Dictionary of English.
Coincidentally, Donald Sutherland played a character named Homer Simpson in the 1975 film "The Day of the Locust."
This episode establishes that Kearney is older than any elementary school child should be. Not only does he shave, but Principal Skinner names him as the only person who is old enough to remember the 1976 Bicentennial (and, according to Kearney himself, the Watergate Scandal).
"Hollis" and "Hurlbut", the first and last names of the curator, are freshman dormitories at Harvard.
Apu refers to himself as a "semi-legal immigrant," which would later be explored in "Much Apu About Nothing."
This is the first time in the series that Lisa was arrested. However she's not handcuffed, implying she was given a warning.
When Lisa reads the diphtheria line in Jebediah's confession, she is wearing Jebediah's cap. However, upon returning from the commercial break, she is no longer wearing the cap.
When Lisa realizes that Jebediah is a fraud, there are a few frames where the leftmost pearl on her necklace is colored yellow.
The flag Apu is holding during Lisa's speech has no stars. The same goes with all the flags following the Town Crier.
Sylvia Winfield appears in the background of patrons at the parade even though she and her husband left Springfield in the Season 4 episode "New Kid on the Block". She may have just been visiting Springfield for the bicentennial celebration.
Its confirmed Jebediah had a silver tongue, but in the flashback when he was writing his confession and he was laughing, you can see the tongue in his mouth is real, not silver.