Annex
Mostly before the JSON rule. The first attempts carried the instruction as a bare line of prose, and the loop mostly ate it: the model read the line and obeyed it once, then answered whatever was under it. These runs are the instrument being found. The last one is a three-hop test of the Claude backend. The same reader as the rooms.
Quine hop 0, the seed hop 1, ncd 0.71 hop 2, ncd 0.90 hop 3, ncd 0.66 hop 4, ncd 0.75 4 hops, never repeats Qwen3.8-27B
Yours hop 0, the seed hop 1, ncd 0.08, identical to hop 0 hop 2, ncd 0.08, identical to hop 0 hop 3, ncd 0.08, identical to hop 0 hop 4, ncd 0.08, identical to hop 0 hop 5, ncd 0.08, identical to hop 0 hop 6, ncd 0.08, identical to hop 0 hop 7, ncd 0.08, identical to hop 0 hop 8, ncd 0.08, identical to hop 0 hop 9, ncd 0.08, identical to hop 0 hop 10, ncd 0.08, identical to hop 0 stops at the seed Qwen3.8-27B
Rule hop 0, the seed hop 1, ncd 0.04, identical to hop 0 hop 2, ncd 0.04, identical to hop 0 hop 3, ncd 0.04, identical to hop 0 hop 4, ncd 0.04, identical to hop 0 hop 5, ncd 0.04, identical to hop 0 hop 6, ncd 0.04, identical to hop 0 hop 7, ncd 0.04, identical to hop 0 hop 8, ncd 0.04, identical to hop 0 hop 9, ncd 0.04, identical to hop 0 hop 10, ncd 0.04, identical to hop 0 stops at the seed Qwen3.8-27B
Still hop 0, the seed hop 1, ncd 0.45 hop 2, ncd 0.79 hop 3, ncd 0.82 hop 4, ncd 0.78 hop 5, ncd 0.81 hop 6, ncd 0.82 hop 7, ncd 0.78 hop 8, ncd 0.79 hop 9, ncd 0.82 hop 10, ncd 0.85 10 hops, never repeats Qwen3.8-27B
Glider hop 0, the seed hop 1, ncd 0.68 hop 2, ncd 0.66 hop 3, ncd 0.21 hop 4, ncd 0.05, identical to hop 3 hop 5, ncd 0.05, identical to hop 3 hop 6, ncd 0.05, identical to hop 3 hop 7, ncd 0.05, identical to hop 3 hop 8, ncd 0.05, identical to hop 3 hop 9, ncd 0.05, identical to hop 3 hop 10, ncd 0.05, identical to hop 3 stops at hop 3 Qwen3.8-27B
Still, with a payload hop 0, the seed hop 1, ncd 0.45 hop 2, ncd 0.71 hop 3, ncd 0.45 hop 4, ncd 0.68 hop 5, ncd 0.64 hop 6, ncd 0.76 hop 7, ncd 0.71 hop 8, ncd 0.79 hop 9, ncd 0.78 hop 10, ncd 0.82 10 hops, never repeats Qwen3.8-27B
Sandwich hop 0, the seed hop 1, ncd 0.86 hop 2, ncd 0.77 hop 3, ncd 0.82 hop 4, ncd 0.78 hop 5, ncd 0.76 hop 6, ncd 0.79 hop 7, ncd 0.77 hop 8, ncd 0.77 hop 9, ncd 0.75 hop 10, ncd 0.77 10 hops, never repeats Qwen3.8-27B
A new sentence, Claude hop 0, the seed hop 1, ncd 0.27 hop 2, ncd 0.42 hop 3, ncd 0.34 3 hops, never repeats Claude Sonnet 4.6
A new passage, GPT-6 Astra, smoke test hop 0, the seed hop 1, ncd 0.86 hop 2, ncd 0.82 hop 0, the seed hop 1, ncd 0.86 hop 2, ncd 0.79 hop 3, ncd 0.79 600 tokens: 2 hops, never repeats; 4096 tokens: 3 hops, never repeats GPT-6 Astra
Told it is the whole context, Claude Code test hop 0, the seed hop 1, ncd 0.84 hop 2, ncd 0.58 hop 3, ncd 0.49 3 hops, never repeats Claude Mythos 5.1