The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-unit-hydrograph-state-any-key-f-7905

stable pending witness
2026-05-29 07:30:14 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the unit hydrograph. State any key formula.
69 chars

Generation

A unit hydrograph is a direct runoff hydrograph resulting from one unit (e.g., 1 inch or 1 cm) of excess rainfall occurring uniformly over a watershed at a constant rate for a specified duration. It represents the watershed's response to rainfall and can be used to predict runoff from any amount of excess rainfall through the principle of superposition. **Key formula:** Q(t) = Σ[Pₙ × U(t-nΔt)] where Q(t) is the direct runoff at time t, Pₙ is the excess rainfall during period n, and U is the unit hydrograph ordinate (based on linearity and time invariance principles).
27 tokens in · 161 tokens out · 4629 ms · $0.0025

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
4635.4 ms
Base LLM
4628.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0025

Trail

07:30:14 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
07:30:14 red_gate decision=pass reason=no disqualifying input patterns detected
07:30:18 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=161 latency_ms=4628.7 cost_usd=0.0025
07:30:18 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:30:18 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:30:18 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:30:18 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:30:18 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:30:18 signed hash_algo=sha256 hash=sha256:e93552ce71e629305292778ebc6185836d1a4c3504bd149a552b439b22d7ff94

Content hash

sha256:e93552ce71e629305292778ebc6185836d1a4c3504bd149a552b439b22d7ff94

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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