The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-reciprocity-of-exposure-setting-88d6

stable pending witness
2026-05-29 06:28:53 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the reciprocity of exposure settings. State any key formula.
86 chars

Generation

# Reciprocity of Exposure Settings The reciprocity of exposure settings refers to the inverse relationship between aperture, shutter speed, and ISO, where adjusting one setting requires compensating changes in the others to maintain the same overall exposure. For example, if you increase shutter speed by one stop (letting in less light), you must either open the aperture by one stop or increase ISO by one stop to keep the exposure constant. **Key formula:** Exposure = Intensity × Time, or more specifically, each "stop" represents a doubling or halving of light, so the reciprocal relationship follows: **Aperture × Shutter Speed × ISO = Constant Exposure** This principle allows photographers to prioritize different creative or technical goals (like freezing motion or controlling depth of field) while maintaining proper exposure.
29 tokens in · 181 tokens out · 8069 ms · $0.0028

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
8075.9 ms
Base LLM
8068.9 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0028

Trail

06:28:53 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
06:28:53 red_gate decision=pass reason=no disqualifying input patterns detected
06:29:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=181 latency_ms=8068.9 cost_usd=0.0028
06:29:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:29:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:29:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:29:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:29:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:29:01 signed hash_algo=sha256 hash=sha256:7d0d1cd8ee7ef4d854d0e80bfa4f1dece48a88db488c9a778a2ac15524cd1cb0

Content hash

sha256:7d0d1cd8ee7ef4d854d0e80bfa4f1dece48a88db488c9a778a2ac15524cd1cb0

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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