The Mechanism · Gated-generation receipt

gen-state-magnification-of-an-image-precisely-and-explain-why-it-1574

stable pending witness
2026-05-29 03:55:24 UTC · anthropic/claude-sonnet-4-5

Prompt

State magnification of an image precisely and explain why it matters in 2-3 sentences.
86 chars

Generation

# Magnification of an Image **Magnification (m) = image height / object height = -image distance / object distance** Or: m = h'/h = -v/u Magnification matters because it tells us whether an image is enlarged or reduced compared to the original object, and the negative sign indicates whether the image is upright (positive m) or inverted (negative m). This is crucial in designing optical instruments like microscopes, telescopes, and cameras, where controlling image size and orientation determines the device's functionality and usefulness.
27 tokens in · 121 tokens out · 5080 ms · $0.0019

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
5086.9 ms
Base LLM
5079.7 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0019

Trail

03:55:24 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
03:55:24 red_gate decision=pass reason=no disqualifying input patterns detected
03:55:29 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=121 latency_ms=5079.7 cost_usd=0.0019
03:55:29 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:55:29 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:55:29 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:55:29 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:55:29 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:55:29 signed hash_algo=sha256 hash=sha256:91c8b477d6e69ab5b82ec760725740c6a14ecd4abdbf7d64011c9f95ccd72d79

Content hash

sha256:91c8b477d6e69ab5b82ec760725740c6a14ecd4abdbf7d64011c9f95ccd72d79

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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