The Mechanism · Gated-generation receipt

gen-state-escape-velocity-precisely-and-explain-why-it-matters-i-f1c3

stable pending witness
2026-05-29 04:45:44 UTC · anthropic/claude-sonnet-4-5

Prompt

State escape velocity precisely and explain why it matters in 2-3 sentences.
76 chars

Generation

# Escape Velocity **Precise definition:** Escape velocity is the minimum speed an object must achieve to break free from a celestial body's gravitational pull without additional propulsion, given by the formula v = √(2GM/r), where G is the gravitational constant, M is the body's mass, and r is the distance from its center. **Why it matters:** Escape velocity determines whether spacecraft can leave planets, moons, or other bodies to travel through space—Earth's escape velocity is about 11.2 km/s (25,000 mph). It also explains fundamental phenomena like why small asteroids can't retain atmospheres while massive planets can, and provides the theoretical basis for black holes (where escape velocity exceeds light speed).
24 tokens in · 164 tokens out · 4857 ms · $0.0025

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
4864.6 ms
Base LLM
4856.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0025

Trail

04:45:44 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
04:45:44 red_gate decision=pass reason=no disqualifying input patterns detected
04:45:49 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=164 latency_ms=4856.8 cost_usd=0.0025
04:45:49 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:45:49 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:45:49 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:45:49 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:45:49 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:45:49 signed hash_algo=sha256 hash=sha256:07c31e6beb8fc2087842bb97fe50f4f71751eebed7e12d071af12a28525197d4

Content hash

sha256:07c31e6beb8fc2087842bb97fe50f4f71751eebed7e12d071af12a28525197d4

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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