The Mechanism · Gated-generation receipt

gen-explain-transposition-as-you-would-to-a-capable-student-in-3-34a0

stable pending witness
2026-05-29 08:51:19 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain transposition as you would to a capable student, in 3-4 sentences.
74 chars

Generation

Transposition is the process of moving a term from one side of an equation to the other by performing the opposite operation to both sides. For example, if you have x + 5 = 12, you can transpose the 5 by subtracting it from both sides, giving you x = 7. The key principle is that whatever you do to one side of the equation, you must do to the other to maintain equality. Think of it as "undoing" operations to isolate the variable you're solving for.
27 tokens in · 113 tokens out · 3972 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
3978.6 ms
Base LLM
3971.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0018

Trail

08:51:19 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
08:51:19 red_gate decision=pass reason=no disqualifying input patterns detected
08:51:23 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=113 latency_ms=3971.9 cost_usd=0.0018
08:51:23 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:51:23 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:51:23 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:51:23 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:51:23 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:51:23 signed hash_algo=sha256 hash=sha256:839f0398f07c57f9a568185ff065450b0f80a4730d3f91af97b44a16925b17d7

Content hash

sha256:839f0398f07c57f9a568185ff065450b0f80a4730d3f91af97b44a16925b17d7

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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