The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-infiltration-capacity-state-any-key-a499

stable pending witness
2026-05-29 07:58:55 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain infiltration capacity. State any key formula.
71 chars

Generation

Infiltration capacity is the maximum rate at which soil can absorb water under specific conditions, typically decreasing over time as the soil becomes saturated. It depends on factors such as soil type, moisture content, vegetation, and surface conditions. **Key formula - Horton's equation:** f(t) = f_c + (f_0 - f_c)e^(-kt) where f(t) is infiltration capacity at time t, f_0 is initial infiltration capacity, f_c is final (steady-state) capacity, k is a decay constant, and t is time.
25 tokens in · 136 tokens out · 9615 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
9621.5 ms
Base LLM
9615.1 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0021

Trail

07:58:55 received prompt_chars=71 verifiers=['scripture_anchors', 'theology_doctrine']
07:58:55 red_gate decision=pass reason=no disqualifying input patterns detected
07:59:04 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=136 latency_ms=9615.1 cost_usd=0.0021
07:59:04 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:59:04 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:59:04 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:59:04 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:59:04 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:59:04 signed hash_algo=sha256 hash=sha256:5c2392f77aa2ec3e3d198f1585964088897860de1a94572f9295cafb28dfb269

Content hash

sha256:5c2392f77aa2ec3e3d198f1585964088897860de1a94572f9295cafb28dfb269

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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