The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-hyperfocal-distance-state-any-key-f-65c5

stable pending witness
2026-05-29 06:05:42 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain hyperfocal distance. State any key formula.
69 chars

Generation

Hyperfocal distance is the closest focusing distance at which a lens can be set while keeping objects at infinity acceptably sharp. When a lens is focused at the hyperfocal distance, everything from half that distance to infinity will appear in focus. This maximizes depth of field for landscape and street photography. The key formula is: **H = f²/(N × c) + f**, where H is hyperfocal distance, f is focal length, N is f-number (aperture), and c is the circle of confusion (acceptable blur diameter).
27 tokens in · 121 tokens out · 3976 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
3981.1 ms
Base LLM
3975.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

06:05:42 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
06:05:42 red_gate decision=pass reason=no disqualifying input patterns detected
06:05:46 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=121 latency_ms=3975.5 cost_usd=0.0019
06:05:46 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:05:46 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:05:46 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:05:46 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:05:46 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:05:46 signed hash_algo=sha256 hash=sha256:3a5d5cf4935da442d38372f49ef19582a8ce483b2415aef78d208511b7c59718

Content hash

sha256:3a5d5cf4935da442d38372f49ef19582a8ce483b2415aef78d208511b7c59718

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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