The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-open-versus-closed-pipes-state-any-0840

stable pending witness
2026-05-29 07:28:18 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain open versus closed pipes. State any key formula.
74 chars

Generation

# Open vs Closed Pipes **Closed pipes** have one end closed and one end open, producing only odd harmonics (1st, 3rd, 5th, etc.). The fundamental frequency is given by **f₁ = v/4L**, where v is the speed of sound and L is the pipe length. **Open pipes** have both ends open and produce all harmonics (1st, 2nd, 3rd, etc.). The fundamental frequency is **f₁ = v/2L**, making open pipes sound an octave higher than closed pipes of the same length.
26 tokens in · 134 tokens out · 14241 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
14248.0 ms
Base LLM
14240.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0021

Trail

07:28:18 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
07:28:18 red_gate decision=pass reason=no disqualifying input patterns detected
07:28:33 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=134 latency_ms=14240.8 cost_usd=0.0021
07:28:33 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:28:33 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:28:33 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:28:33 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:28:33 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:28:33 signed hash_algo=sha256 hash=sha256:fa3adde9ae80e0712e234a5fc269c7b01055d2fb4dac3595a74f3f92bcd4b050

Content hash

sha256:fa3adde9ae80e0712e234a5fc269c7b01055d2fb4dac3595a74f3f92bcd4b050

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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