The Mechanism · Gated-generation receipt

gen-define-transposition-and-give-one-short-worked-example-e684

stable pending witness
2026-05-29 08:46:09 UTC · anthropic/claude-sonnet-4-5

Prompt

Define transposition and give one short worked example.
55 chars

Generation

# Transposition **Transposition** is the process of rearranging an equation or formula to make a different variable the subject (isolate it on one side of the equals sign). ## Worked Example **Make *t* the subject of this formula:** $$v = u + at$$ **Solution:** $$v = u + at$$ Subtract *u* from both sides: $$v - u = at$$ Divide both sides by *a*: $$\frac{v - u}{a} = t$$ **Answer:** $$t = \frac{v - u}{a}$$
17 tokens in · 143 tokens out · 4477 ms · $0.0022

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
4485.5 ms
Base LLM
4476.6 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0022

Trail

08:46:09 received prompt_chars=55 verifiers=['scripture_anchors', 'theology_doctrine']
08:46:09 red_gate decision=pass reason=no disqualifying input patterns detected
08:46:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=143 latency_ms=4476.6 cost_usd=0.0022
08:46:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:46:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:46:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:46:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:46:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:46:13 signed hash_algo=sha256 hash=sha256:8b231fd1eff9a011f6d41d8b46dcb6c43660e1c47cb6120654c1d609f1575680

Content hash

sha256:8b231fd1eff9a011f6d41d8b46dcb6c43660e1c47cb6120654c1d609f1575680

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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