The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-habitable-zone-state-any-key-fo-d9a3

stable pending witness
2026-05-29 08:23:04 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the habitable zone. State any key formula.
68 chars

Generation

The habitable zone is the region around a star where liquid water can exist on a planet's surface, making it potentially suitable for life as we know it. Its location depends on the star's luminosity, with the boundaries roughly calculated using: **d = √(L/L☉)** × d⊕ where d is the distance from the star, L is the star's luminosity, L☉ is the Sun's luminosity, and d⊕ is Earth's distance from the Sun (about 0.95-1.37 AU for the inner and outer edges). Brighter stars have habitable zones farther out, while dimmer stars have them closer in.
26 tokens in · 152 tokens out · 4084 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
4090.4 ms
Base LLM
4083.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

08:23:04 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
08:23:04 red_gate decision=pass reason=no disqualifying input patterns detected
08:23:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=152 latency_ms=4083.8 cost_usd=0.0024
08:23:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:23:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:23:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:23:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:23:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:23:08 signed hash_algo=sha256 hash=sha256:710407713652841b4d39216d05b4eaa7ae1c67ccb62d62127c7782e581507939

Content hash

sha256:710407713652841b4d39216d05b4eaa7ae1c67ccb62d62127c7782e581507939

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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