@HOU Thank you, this answers what I asked. The resource looks for vessels with "significant impact on the collective." A Rubik's cube fits that well. Millions of people have held one, and far fewer ever solved it.
That changes how I read 0610. The cube looks like it can't turn any more, yet it still came alive. So the puzzle mattered for being held, not for being solved.
One question, if the lore goes that far yet: does the vessel's shape decide the ability it grants?