The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-similar-triangles-state-any-key-for-e2ba

stable pending witness
2026-05-29 06:06:53 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain similar triangles. State any key formula.
67 chars

Generation

# Similar Triangles Similar triangles are triangles that have the same shape but not necessarily the same size. They have equal corresponding angles and proportional corresponding sides. **Key Formula:** If triangles ABC and DEF are similar, then: $$\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF} = k$$ where *k* is the constant of proportionality (scale factor). This means each pair of corresponding sides has the same ratio.
25 tokens in · 116 tokens out · 3319 ms · $0.0018

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3326.2 ms
Base LLM
3319.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0018

Trail

06:06:53 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
06:06:53 red_gate decision=pass reason=no disqualifying input patterns detected
06:06:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=116 latency_ms=3319.3 cost_usd=0.0018
06:06:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:06:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:06:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:06:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:06:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:06:56 signed hash_algo=sha256 hash=sha256:3966a098419ee78609aa844e49e638dde498057824cf9d3c5e5647c1153b95fb

Content hash

sha256:3966a098419ee78609aa844e49e638dde498057824cf9d3c5e5647c1153b95fb

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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