The Mechanism · Gated-generation receipt

gen-define-seismic-wave-types-and-give-one-short-worked-example-d7cc

stable pending witness
2026-05-29 05:07:03 UTC · anthropic/claude-sonnet-4-5

Prompt

Define seismic wave types and give one short worked example.
60 chars

Generation

# Seismic Wave Types ## **Body Waves** (travel through Earth's interior) 1. **P-waves (Primary/Compressional)** - Fastest waves - Particle motion parallel to wave direction - Travel through solids, liquids, and gases - Typical velocity: 5-8 km/s in crust 2. **S-waves (Secondary/Shear)** - Slower than P-waves - Particle motion perpendicular to wave direction - Travel only through solids - Typical velocity: 3-4.5 km/s in crust ## **Surface Waves** (travel along Earth's surface) 3. **Love waves** - Horizontal shearing motion - Faster surface wave 4. **Rayleigh waves** - Elliptical rolling motion - Slower but often larger amplitude --- ## **Worked Example** **Problem:** A seismograph station records P-waves from an earthquake at 10:05:20 and S-waves at 10:07:00. If vₚ = 6 km/s and vₛ = 3.5 km/s, find the distance to the epicenter. **Solution:** - Time difference: Δt = 100 seconds - Distance: d = vₚ × tₚ = vₛ × tₛ - Since tₛ = tₚ + 100: d = vₚ × tₚ = vₛ(tₚ + 100) 6tₚ = 3.5tₚ + 350 tₚ = 140 seconds **d = 6 × 140 = 840 km**
20 tokens in · 422 tokens out · 8289 ms · $0.0064

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
8296.6 ms
Base LLM
8288.9 ms
Verifiers
0.6 ms
Gates
0.1 ms
Cost
$0.0064

Trail

05:07:03 received prompt_chars=60 verifiers=['scripture_anchors', 'theology_doctrine']
05:07:03 red_gate decision=pass reason=no disqualifying input patterns detected
05:07:11 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=20 tokens_out=422 latency_ms=8288.9 cost_usd=0.0064
05:07:11 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:07:11 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:07:11 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:07:11 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:07:11 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:07:11 signed hash_algo=sha256 hash=sha256:3a272a1012b10903602f8016fbd3afd57cad3788496cd923a7affa8dffd073fd

Content hash

sha256:3a272a1012b10903602f8016fbd3afd57cad3788496cd923a7affa8dffd073fd

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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