The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-exposure-triangle-state-any-key-35e0

stable pending witness
2026-05-29 05:20:29 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the exposure triangle. State any key formula.
71 chars

Generation

# The Exposure Triangle The exposure triangle describes the relationship between three camera settings that control image brightness: **aperture** (f-stop), **shutter speed**, and **ISO**. Aperture controls how much light enters through the lens opening, shutter speed determines how long the sensor is exposed to light, and ISO sets the sensor's sensitivity to light. These three elements work together inversely—adjusting one requires compensating with another to maintain proper exposure. **Key Formula:** Exposure Value (EV) = log₂(f²/t) where f = f-number and t = shutter speed in seconds, with ISO adjustments shifting the EV accordingly.
25 tokens in · 147 tokens out · 3981 ms · $0.0023

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
3992.0 ms
Base LLM
3980.5 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0023

Trail

05:20:29 received prompt_chars=71 verifiers=['scripture_anchors', 'theology_doctrine']
05:20:29 red_gate decision=pass reason=no disqualifying input patterns detected
05:20:33 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=147 latency_ms=3980.5 cost_usd=0.0023
05:20:33 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:20:33 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:20:33 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:20:33 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:20:33 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:20:33 signed hash_algo=sha256 hash=sha256:264746b24e336a4655459831783b196b480116a4a0bab090cced91e4d3a53cce

Content hash

sha256:264746b24e336a4655459831783b196b480116a4a0bab090cced91e4d3a53cce

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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