If vivrecard can't be a pun directly on "Bible," it could still be a pun on "biblical."
So, manufacturing vivrecards requires a little bit of fingernail, right? Rampant speculation starts here:
Is anybody else thinking that if this vivrecard theory holds water, then Kuma the Tyrant's bad reputation came from him harvesting fingernails from his enemies? As for the problem of distance, perhaps he began compiling his bible as a personal index of the islands he had been to and planted vivrecard paper in. If the index was just for him, he could have given himself a push in the right direction, knowing that a straight line would take him over the island. Then, he would just have to wait to see the island pass underneath him, then correct his course. He might even have written in his bible how much force it took to get him from one place to another. This would have allowed him to look in his bible and almost instantly island-hop to whichever place he felt needed his attention, making him an omnipresent tyrant. Such an ability would have made him indispensable to the revolutionaries, who may have recruited him as much for his speed and navigational data as for his destructive power. Think of him as an instant, secure, near-worldwide courier service for the revolution.
If he does have a whole bunch of vivrecards and notes in his Bible, perhaps the Pacifista upgrades gave him upgraded computing power - Vegapunk would have to give him that for his targeting system, right? If that's so, Kuma may have sacrificed himself to the Pacifista program in order to be able to look up his Bible data, instantly calculate a solution (he would have directions from vivrecards and magnitudes between different points from his notes, giving him a complex polar coordinate problem to solve), and send anyone anywhere he had been to. Perhaps he keeps the data in his bible so that he doesn't need to store it in his long-term memory, in case Vegapunk gives the WG access to his memory.
For that sacrifice to be worth it to him, Kuma would have needed to have a very definite idea of what he wanted to do with those abilities. Dragon must have fed him some very interesting information, perhaps suggesting that protecting Luffy was the key to undermining the World Government.
Also, I'd be really amused if what he was writing on Thriller Bark was, "Dear Diary: I sent Perona in the direction of Kuragaina island with X amount of force. Still working out the kinks in this thing - if I see she's alive when I push myself over there, I'll try it with the Strawhats."