The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-focal-length-and-field-of-view-stat-7a7a

stable pending witness
2026-05-29 05:38:19 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain focal length and field of view. State any key formula.
80 chars

Generation

# Focal Length and Field of View **Focal length** is the distance between a lens's optical center and its focal point (where light converges), measured in millimeters. It determines the magnification of an image—longer focal lengths produce more magnification and narrower views. **Field of view (FOV)** is the observable area visible through the lens, typically measured in degrees. Shorter focal lengths provide wider fields of view, while longer focal lengths provide narrower fields of view. **Key formula:** FOV ≈ 2 × arctan(d / 2f), where *d* is the sensor dimension (width or height) and *f* is the focal length.
28 tokens in · 154 tokens out · 3704 ms · $0.0024

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
3711.5 ms
Base LLM
3703.7 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0024

Trail

05:38:19 received prompt_chars=80 verifiers=['scripture_anchors', 'theology_doctrine']
05:38:19 red_gate decision=pass reason=no disqualifying input patterns detected
05:38:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=154 latency_ms=3703.7 cost_usd=0.0024
05:38:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:38:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:38:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:38:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:38:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:38:22 signed hash_algo=sha256 hash=sha256:25dd9d11e503d6df047be346912c860d8305989f703fac2b6606cc128e8fa6be

Content hash

sha256:25dd9d11e503d6df047be346912c860d8305989f703fac2b6606cc128e8fa6be

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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