The Mechanism · Gated-generation receipt

gen-explain-darcy-s-law-as-you-would-to-a-capable-student-in-3-4-d6bd

stable pending witness
2026-05-29 08:11:13 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain Darcy's law as you would to a capable student, in 3-4 sentences.
72 chars

Generation

Darcy's law describes how fluids flow through porous materials like soil, sand, or rock. It states that the flow rate is proportional to both the pressure difference driving the flow and how permeable the material is, while being inversely proportional to the fluid's viscosity and the distance it travels. In simpler terms: water flows faster through a porous material when there's a steeper pressure gradient (like more height difference in groundwater) and when the material is more permeable (like gravel versus clay). This fundamental principle is essential for understanding groundwater movement, oil extraction, and designing water filtration systems.
30 tokens in · 134 tokens out · 4570 ms · $0.0021

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
4579.5 ms
Base LLM
4569.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

08:11:13 received prompt_chars=72 verifiers=['scripture_anchors', 'theology_doctrine']
08:11:13 red_gate decision=pass reason=no disqualifying input patterns detected
08:11:17 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=134 latency_ms=4569.9 cost_usd=0.0021
08:11:17 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:11:17 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:11:17 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:11:17 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:11:17 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:11:17 signed hash_algo=sha256 hash=sha256:5ac522b6a6addc19759534092b38b4b0dcb144d7d188c53cf5829937ca8c78a5

Content hash

sha256:5ac522b6a6addc19759534092b38b4b0dcb144d7d188c53cf5829937ca8c78a5

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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