But that graphic is 'a trademarked graphic' because tOSU requires 'The' to be used, i.e. emphasized. It is my understanding that prior to some point in relatively recent times (I think the 50s or 60s), there was no big deal about 'The' at the administrative level. It was part of the name, but it was not used dogmatically. Now it is. I have no doubt that it was always part of the name, legally speaking, and I would expect that articles and prepositions are part of the names of many universities: 'The University of Missouri at Columbia', for example, but it is referred to as University of Missouri-Columbia, many times in official correspondence.
This is not really something to squabble about but are you sure about that?
I could be wrong but I have heard a number of times that Ohio State is one of only a handful of universities that are officially incorporated with a name that includes a capitalized The.
For instance, the University of Missouri style guide does not officially capitalize the word
the in their name, except at the start of a sentence. Here is an excerpt and if you look through the entire document, in places like referring to the university system or the president, it is clear that the word
the is not capitalized.
http://www.umsystem.edu/ums/departments/ur/resources/style.shtml...
Campus identification, UM. On first reference, spell out the entire name of the campus, e.g., the University of Missouri-Columbia, the University of Missouri-Kansas City, the University of Missouri-Rolla, the University of Missouri-St. Louis, University of Missouri Extension. Second and subsequent references can be either UM, UM-Columbia, UM-Kansas City, UM-Rolla, UM-St. Louis; or, alternatively, UMC, UMKC, UMR, UMSL.
Their official library site manual seems to indicate the same thing...
http://mulibraries.missouri.edu/admin/Policies/POL54.htm