The state or characteristic of being pertinacious.
1846, E.A.Poe,With my aversion to this cat, however, its partiality for myself seemed to increase. It followed my footsteps with a pertinacity which it would be difficult to make the reader comprehend.
1851, Nathaniel Hawthorne, The House of Seven Gables, ch. 19:Again and again, however, and half a dozen other agains, with the inexorable pertinacity of a child intent upon some object important to itself, did he renew his efforts for admittance.