The Mechanism · Gated-generation receipt

gen-explain-simple-harmonic-motion-as-you-would-to-a-capable-stu-a0d6

hold
2026-05-29 02:40:24 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain simple harmonic motion as you would to a capable student, in 3-4 sentences.
83 chars

Generation

Simple harmonic motion (SHM) is the repetitive back-and-forth movement of an object where the restoring force is directly proportional to its displacement from equilibrium—like a mass on a spring or a pendulum making small swings. The key characteristic is that the farther you pull the object from its rest position, the stronger the force pulling it back, which creates a smooth, sinusoidal oscillation. Mathematically, this produces motion described by sine and cosine functions, where the object continuously exchanges kinetic and potential energy while maintaining constant total mechanical energy. You'll find SHM everywhere in physics because it's the natural response of any system disturbed slightly from a stable equilibrium.
29 tokens in · 152 tokens out · 4612 ms · $0.0024

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
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
4618.2 ms
Base LLM
4612.4 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0024

Trail

02:40:24 received prompt_chars=83 verifiers=['scripture_anchors', 'theology_doctrine']
02:40:24 red_gate decision=pass reason=no disqualifying input patterns detected
02:40:28 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=152 latency_ms=4612.4 cost_usd=0.0024
02:40:28 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:40:28 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:40:28 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:40:28 way_gate decision=wait reason=output contains coercion language: ['force']
02:40:28 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:40:28 signed hash_algo=sha256 hash=sha256:bdd937b12e7847238b0ba92b8703d324c3cd5af837b6693292361b451f4aad1c

Content hash

sha256:bdd937b12e7847238b0ba92b8703d324c3cd5af837b6693292361b451f4aad1c

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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