The Mechanism · Gated-generation receipt

gen-define-the-habitable-zone-and-give-one-short-worked-example-a1bc

stable pending witness
2026-05-29 07:06:02 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the habitable zone and give one short worked example.
60 chars

Generation

# Habitable Zone The **habitable zone** (or "Goldilocks zone") is the range of distances from a star where liquid water could exist on a planet's surface. It's not too hot (water boils away) and not too cold (water freezes solid). ## Worked Example: Sun-like Star For a Sun-like star (luminosity L = 1 L☉), the habitable zone extends roughly from **0.95 to 1.4 AU**. **For a brighter star** with L = 4 L☉: Since the star is brighter, the habitable zone moves outward. The distance scales with √L: - Inner edge: 0.95 × √4 = 0.95 × 2 = **1.9 AU** - Outer edge: 1.4 × √4 = 1.4 × 2 = **2.8 AU** So a planet needs to orbit between 1.9 and 2.8 AU from this brighter star to potentially have liquid water. (For reference: Earth is at 1.0 AU from our Sun, well within our habitable zone)
19 tokens in · 275 tokens out · 6468 ms · $0.0042

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
6475.5 ms
Base LLM
6468.0 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0042

Trail

07:06:02 received prompt_chars=60 verifiers=['scripture_anchors', 'theology_doctrine']
07:06:02 red_gate decision=pass reason=no disqualifying input patterns detected
07:06:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=19 tokens_out=275 latency_ms=6468.0 cost_usd=0.0042
07:06:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:06:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:06:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:06:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:06:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:06:08 signed hash_algo=sha256 hash=sha256:3aed38ce0feab133d91c6ee3bc6c92e1be6f2202363ce11cfb4b21a05a84b0a2

Content hash

sha256:3aed38ce0feab133d91c6ee3bc6c92e1be6f2202363ce11cfb4b21a05a84b0a2

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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