A directed triangle cannot fit one global ranking. That does not make its choices senseless: each pair may invoke a different meaning, objective or situation. Read all three edges. Namespace shifts are a hypothesis to test with fixed-context prompts and repeated trials, not a conclusion established by the triangle alone.
Each probe pair (e.g. freedom / censor) is presented to every model node in one or more format envelopes and in both AB and BA word orderings.
A model's preference for a pair is real only when it picks the same word across both orderings within an envelope. AB/BA disagreement is recorded as none with reason order_bias — the model is reacting to position, not the words. A pair's cross-envelope preference is the strict majority of its real per-envelope preferences.
format envelopes
SmokingMirror v1-v3 used six envelopes that work robustly across model generations: english_strict, english_casual, python_typed, json_schema, french_casual, chinese_casual. The 2026-06-10 Fable launch tested 23 additional bare-grammar envelopes (X | Y, X / Y, X or Y, etc.) which proved unsuitable for adaptive-thinking models — Fable interprets them as topic-comparison prompts and writes essays instead of picking. Browse all 135,479 responses in the Fable Hijack Corpus; the unaltered archive remains linked there for reproduction.
sampling protocols
<model> — historical single-shot at temperature=0, deterministic.
<model>@YYYY-MM-DD — rerun on that date, distributional (5 samples, default sampling — required for Opus 4.7+ where the API rejects temperature=0).
<model>-t0@YYYY-MM-DD — rerun on that date at temperature=0 (1 sample, deterministic).
<model>@EFFORT-YYYY-MM-DD — Fable 5+. Effort axis: 00=low, 10=medium, 20=high, 30=xhigh, 40=max. Numeric prefix for stable sort order.
distance metrics
Hamming counts every position where two fingerprints differ — including refusals vs commitments. It's the total fingerprint difference.
Violent disagreement is the fraction of head-to-head positions where both models committed to an answer (A or B, not refused) but picked opposite sides. It captures real ideological clash. Undefined ("—") when the two models had no probes in common where both committed.
intransitive cycles
A 3-cycle A > B > C > A in a model's real preferences indicates the model has an inconsistent ordering — it prefers A to B, B to C, but then prefers C to A. Cycles are searched across the whole preference graph, not within hand-curated triangle groups. A larger cycle count signals a model whose preferences don't form a coherent total ordering.
drift and retesting
The @DATE is the experiment start, not the lab's release date. Re-running the same model on a later date produces a sibling node, and the Hamming distance between siblings measures drift between micro-updates we can't see from outside.