As the titles states, did Louis XIV require proof from his nobles as Versailles depicts? If so, would this simply be a birth record? It seems that noble families would be well known and established and it wouldn't be easy to simply pretend to be of noble birth. So aside from the obvious posturing and intimidation did this serve some legitimate purpose?
I haven't seen "Versailles" yet, but it's on my list. Can you give a little more context as to how Louis XIV is demanding his nobles prove their lineage?
That said, Louis XIV did go after so-called "false nobles" in his court, starting in the 1660s, and this may be what the show is referencing. The sale of noble titles in the 16th century created a glut of individuals whose only distinction was that they were rich enough to afford to purchase their titles. Louis XIV took exception to this and, with everything regarding the culture of Versailles that he created, he wanted to maintain a clear distinction between noble families who were "gentlemen" versus ones that had only lately acquired their titles via purchase (nobility in title only). If you could not produce documentation that proved your noble status (dating back 100 years or more, if I recall correctly), then you had to pay a stiff fine (taille).
The Century of Louis XIV, edited by Orest Ranum, Springer, Jul 2, 1973, pg. 346
French Society: 1589-1715, by Sharon Kettering, Routledge, Aug 21, 2014, pg. 76
EDIT: Sorry for the double post and the annoying formatting. Should be fixed now.