The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-magnification-of-an-image-state-any-251d

stable pending witness
2026-05-29 07:04:51 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain magnification of an image. State any key formula.
75 chars

Generation

**Magnification** describes how much larger or smaller an image appears compared to the object itself. It is defined as the ratio of the image size to the object size. The key formula is: **m = h'/h = -d'/d** where *m* is magnification, *h'* is image height, *h* is object height, *d'* is image distance, and *d* is object distance. A negative magnification indicates an inverted image, while values greater than 1 indicate enlargement and values less than 1 indicate reduction.
27 tokens in · 128 tokens out · 3152 ms · $0.002

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
3159.0 ms
Base LLM
3152.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.002

Trail

07:04:51 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
07:04:51 red_gate decision=pass reason=no disqualifying input patterns detected
07:04:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=128 latency_ms=3152.3 cost_usd=0.002
07:04:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:04:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:04:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:04:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:04:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:04:54 signed hash_algo=sha256 hash=sha256:8181b37fbd26bc2e66a99cf7c7ad8c5ddd23101601105d85137b48fb97c37970

Content hash

sha256:8181b37fbd26bc2e66a99cf7c7ad8c5ddd23101601105d85137b48fb97c37970

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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