The Mechanism · Gated-generation receipt

gen-explain-snell-s-law-of-refraction-as-you-would-to-a-capable-fa65

stable pending witness
2026-05-29 06:58:53 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain Snell's law of refraction as you would to a capable student, in 3-4 sentences.
86 chars

Generation

# Snell's Law of Refraction Snell's law describes how light bends when it passes from one transparent material into another, like from air into water. The law states that n₁sin(θ₁) = n₂sin(θ₂), where n₁ and n₂ are the refractive indices of the two materials, and θ₁ and θ₂ are the angles the light ray makes with an imaginary line perpendicular to the surface. Essentially, light changes direction because it travels at different speeds in different materials—when light enters a denser medium (higher n), it slows down and bends toward the perpendicular, and when it enters a less dense medium, it speeds up and bends away. This is why a straw appears bent in a glass of water!
33 tokens in · 188 tokens out · 4508 ms · $0.0029

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
4515.1 ms
Base LLM
4508.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

06:58:53 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
06:58:53 red_gate decision=pass reason=no disqualifying input patterns detected
06:58:57 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=33 tokens_out=188 latency_ms=4508.0 cost_usd=0.0029
06:58:57 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:58:57 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:58:57 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:58:57 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:58:57 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:58:57 signed hash_algo=sha256 hash=sha256:b79501dc94ff263749c2c9e83bb4b43e77338d870b829b5ef09501451d08e0dc

Content hash

sha256:b79501dc94ff263749c2c9e83bb4b43e77338d870b829b5ef09501451d08e0dc

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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