Personhood comes with responsibilities to the community. The single most important responsibility is to participate.
I think, deconstructing this statement a bit, Neklason is affirming a couple of my main contentions about politics and our community life. Most obviously, our participation in the life of the community (which is normally called "politics") is part of what it means to be a person.
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.
Arendt says that "happiness," in this context, is not something that is to be accomplished by individual actions, but that it is a "public happiness," the joyful result of our civic participation. That "public happiness" comes from our participation in the life of our community through politics.
We are not just "individuals;" we are all connected to each other, and we will find the true meaning of our lives in our participation, with others, in the exercise of our individual liberty through community-based self-government. That is what "politics" is all about. That is how we create our human world.