The Mechanism · Gated-generation receipt

gen-explain-open-versus-closed-pipes-as-you-would-to-a-capable-s-91e5

stable pending witness
2026-05-29 05:40:08 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain open versus closed pipes as you would to a capable student, in 3-4 sentences.
85 chars

Generation

# Open vs Closed Pipes Think of a pipe as a resonating air column where standing waves form. A **closed pipe** (closed at one end) must have a displacement node at the closed end and an antinode at the open end, so it can only produce odd harmonics (fundamental, 3rd, 5th, etc.) with wavelengths fitting the pattern λ = 4L/n where n is odd. An **open pipe** (open at both ends) has antinodes at both ends, allowing all harmonics (1st, 2nd, 3rd, etc.) with λ = 2L/n. This is why closed pipes sound more "hollow" – they're literally missing half their harmonics compared to open pipes of the same length.
29 tokens in · 171 tokens out · 5447 ms · $0.0027

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
5458.7 ms
Base LLM
5446.5 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0027

Trail

05:40:08 received prompt_chars=85 verifiers=['scripture_anchors', 'theology_doctrine']
05:40:08 red_gate decision=pass reason=no disqualifying input patterns detected
05:40:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=171 latency_ms=5446.5 cost_usd=0.0027
05:40:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:40:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:40:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:40:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:40:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:40:13 signed hash_algo=sha256 hash=sha256:2ca234401c2bbecccb95f14b1c264b00cd2ac7bf748788ab8025431840131dc4

Content hash

sha256:2ca234401c2bbecccb95f14b1c264b00cd2ac7bf748788ab8025431840131dc4

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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