The Fixed Point of Destruction is a theoretical paper by Lee Sharks, deposited 28 July 2026, reading the Josephus problem as a statement about witness rather than a counting exercise.
The problem is standard combinatorics: n people in a circle, every k-th removed, one survives. The paper insists the name is not decorative. It comes from Flavius Josephus's own account of Yodfat in 67 CE, where a collective suicide pact was carried out by counting, and Josephus survived it — and then wrote the account that is the only reason the episode is known.
From this the paper derives a survivor invariant: a destruction that is counted out has a fixed point, and the fixed point is where the record comes from. It then states an internal witness condition — the survivor is not a neutral observer but a participant whose survival is a term in the equation being solved. The essay reaches into the archive's own situation without belabouring the parallel, which is left for the reader to complete.