The film borrows heavily from 'Niebla' by Miguel de Unamuno, a Spanish novel about a character who becomes aware he is being narrated by a writer and goes to visit him. In Unamuno's story, however, the main character commits suicide.
A single page of the book can be glimpsed if the film is paused while Jules is reading it. The page quotes word for word the opening narration of the film as Harold goes about his day. The page also contains a detail that is not mentioned otherwise - Harold's co-worker Diane Gordon has been in love with him since the 8th grade but is too shy to say so, and in the shown page when Harold requests a file from her she asks for clarification in the hopes he might once say "good morning" to her.
The last names of all the characters (and the bus line and publishing firm names) are the names of mathematicians, scientists, engineers, artists, etc. (Harold) Francis Crick: with Watson and Wilkins found the structure of DNA; (Ana) Blaise Pascal: French mathematician and philosopher; (Karen) Gustave Eiffel: engineer and designer of the Eiffel Tower; (Penny) M.C. Escher: Dutch graphic artist; (Dr.) Magnus Gustaf Mittag-Leffler: Swedish mathematician; (Professor Jules) David Hilbert: German mathematician; (Doctor) Gerardus Mercator: 16th century Flemish cartographer; (Kronecker Bus Line) Leopold Kronecker: German-born mathematician and logician; (Banneker Press) Benjamin Banneker: free African American mathematician, astronomer, clockmaker, and publisher; (Dr. Cayly) Arthur Cayley, 19th century British mathematician. Even Dave (no last name) seems to be a reference to the main character from 2001: A Space Odyssey (1968). Could these be the 'heroes' of the writer?
Dustin Hoffman's character (Professor Hilbert) creates a questionnaire of 23 items for Will Ferrell's character (Harold Crick). Professor David Hilbert, the German mathematician, proposed a famous list 23 problems at the International Congress of Mathematicians in Paris in 1900. Hilbert's problems became so famous that they are typically referred to by number among mathematicians and philosophers and several are still unanswered.
The title of the movie comes from a famous quote from Lord Byron's "Don Juan": "Tis strange,-but true; for truth is always strange; Stranger than fiction: if it could be told, How much would novels gain by the exchange! How differently the world would men behold!"
The watch featured in the movie is a Timex Men's Watch #T56371 - Ironman Triathlon 42 Lap Combo Dual Tech, though in the film the watch's LCD display is CG enhanced to present clearer graphics. The actual watch is a simple 9 segment per character LCD alphanumeric mode display with three lines and some special-indicators.
The novel which Karen Eiffel is writing is called "Death and Taxes". This is a reference to the famous quote, "in this world nothing can be said to be certain, except death and taxes," written by Benjamin Franklin in a 1789 letter addressed to Jean-Baptiste Leroy.
The movie makes several references to René Magritte's painting "Son of Man". Once when he is running to the bus stop with the green apple in his mouth, and again when he is talking to the doctor at the office sitting in front of a wall painted with clouds.
When Harold Crick sits down on the bus in which he again encounters baker Ana Pascal, a building with the word "Drury" can be seen on a sign in the background (on the front wall of the bus). In the popular nursery rhyme, Drury Lane is where the Muffin Man lived.
Small math and science references were slipped in, such as references to Euclid Street (a reference to Euclidean Geometry) and the Spoon song "My Mathematical Mind", which plays during a sequence near the end of the film.
In an early scene, on-screen graphics appear that resemble an image used to illustrate the golden ratio. In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. This ratio can be expressed as a mathematical constant, usually denoted by the Greek letter Phi.
In the scene where Professor Hilbert is speaking to Harold in his classroom, there is a list on the chalkboard behind him of four characters from 'The Alexandria Quartet', a four-book set of novels by British writer Lawrence Durrell, published between 1957 and 1960.
In the ending, where the Karen Eiffel is leaning on Professor's Hilbert book case you can see that there are several books about cooking, like "Plain Cooking", "Electric Blender Recipies", "A Year of Diet Desserts", "Cooking and Brownies" and "The Slim Gourmet Book".