The design of Cutive, and this monospace sister family Cutive Mono, is based on a number of classic typewriter typefaces, in particular the faces of IBM's 'Executive,' and the older 'Smith-Premier.' In Cutive these old faces re-emerge as webfonts that are useful for adding character to body texts as well as in larger sizes for headers and display.
To contribute to the project see github.com/googlefonts/CutiveFont.