The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-escape-velocity-state-any-key-formu-d088

stable pending witness
2026-05-29 07:52:54 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain escape velocity. State any key formula.
65 chars

Generation

Escape velocity is the minimum speed an object needs to break free from a celestial body's gravitational pull without further propulsion. It depends on the mass and radius of the body being escaped from, not on the mass of the escaping object. The key formula is: **v = √(2GM/r)** where G is the gravitational constant, M is the mass of the celestial body, and r is the distance from its center. For Earth, this velocity is approximately 11.2 km/s (about 25,000 mph).
24 tokens in · 123 tokens out · 2714 ms · $0.0019

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
2722.0 ms
Base LLM
2714.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0019

Trail

07:52:54 received prompt_chars=65 verifiers=['scripture_anchors', 'theology_doctrine']
07:52:54 red_gate decision=pass reason=no disqualifying input patterns detected
07:52:56 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=123 latency_ms=2714.3 cost_usd=0.0019
07:52:56 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:52:56 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:52:56 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:52:56 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:52:56 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:52:56 signed hash_algo=sha256 hash=sha256:dad70de9a79cf86d9e27255b42e98edb82f2d4cc9a14302fbc584aa5f67762b1

Content hash

sha256:dad70de9a79cf86d9e27255b42e98edb82f2d4cc9a14302fbc584aa5f67762b1

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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