The Mechanism · Gated-generation receipt

gen-explain-the-focal-length-of-a-lens-as-you-would-to-a-capable-e01b

stable pending witness
2026-05-29 04:59:35 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the focal length of a lens as you would to a capable student, in 3-4 sentences.
87 chars

Generation

# Focal Length of a Lens The **focal length** of a lens is the distance from the center of the lens to the point where parallel rays of light converge (or appear to diverge from) after passing through it. For a converging lens, parallel light rays—like those from a distant object—will meet at a single point called the **focal point**, and this distance is the focal length. A shorter focal length means the lens bends light more strongly, bringing rays together quickly, while a longer focal length means weaker bending. This property determines both the magnifying power of the lens and the size of the image it forms.
31 tokens in · 138 tokens out · 4295 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
4303.0 ms
Base LLM
4295.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

04:59:35 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
04:59:35 red_gate decision=pass reason=no disqualifying input patterns detected
04:59:39 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=138 latency_ms=4295.3 cost_usd=0.0022
04:59:39 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:59:39 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:59:39 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:59:39 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:59:39 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:59:39 signed hash_algo=sha256 hash=sha256:566eeff2069ca1fbcab638a21d84dd6ec83c4c42458a43d73fb7ef306f450591

Content hash

sha256:566eeff2069ca1fbcab638a21d84dd6ec83c4c42458a43d73fb7ef306f450591

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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