The Mechanism · Gated-generation receipt

gen-explain-spherical-aberration-as-you-would-to-a-capable-stude-0d5f

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

Prompt

Explain spherical aberration as you would to a capable student, in 3-4 sentences.
81 chars

Generation

Spherical aberration occurs because a lens or mirror with a spherical surface doesn't focus all light rays to the same point—rays hitting near the edges focus at different distances than rays passing through the center. This happens because a sphere's geometry isn't quite the ideal shape for perfect focusing; that would require a parabolic surface instead. The result is a blurry image rather than a sharp point of focus. You can reduce spherical aberration by using only the central portion of the lens, by combining multiple lens elements that compensate for each other, or by using aspherical (non-spherical) optical surfaces.
29 tokens in · 133 tokens out · 4907 ms · $0.0021

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
4914.2 ms
Base LLM
4906.6 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

05:08:29 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
05:08:29 red_gate decision=pass reason=no disqualifying input patterns detected
05:08:34 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=133 latency_ms=4906.6 cost_usd=0.0021
05:08:34 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:08:34 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:08:34 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:08:34 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:08:34 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:08:34 signed hash_algo=sha256 hash=sha256:569a1645ef52196b8c5421dcba87cf6d064d3b6b69d38610e2fc0bde747b0476

Content hash

sha256:569a1645ef52196b8c5421dcba87cf6d064d3b6b69d38610e2fc0bde747b0476

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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