What is the meaning of the word "mark"?

Definitions:

a distinguishing symbol noun
- the owner's mark was on all the sheep
a number or letter indicating quality, especially of a student's performance noun
- The student made good marks in algebra.
a reference point to shoot at noun
- The arrow hit the mark.
a symbol of disgrace or infamy noun
- And the Lord set a mark upon CainGenesis
a visible indication made on a surface noun
- some previous reader had covered the pages with dozens of marks
a written or printed symbol, as for punctuation noun
- The answer was just a punctuation mark.
designate as if by a mark verb
- This sign marks the border
make or leave a mark on verb
- the scouts marked the trail
mark by some ceremony or observation verb
- The citizens mark the anniversary of the revolution with a march and a parade
the impression created by doing something unusual or extraordinary that people notice and remember noun
- It was in London that they made their mark.