The Mechanism · Gated-generation receipt

gen-explain-the-economic-order-quantity-as-you-would-to-a-capabl-d739

stable pending witness
2026-05-29 05:30:58 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the economic order quantity as you would to a capable student, in 3-4 sentences.
88 chars

Generation

Economic Order Quantity (EOQ) is a formula that helps businesses determine the optimal amount of inventory to order at one time to minimize total costs. It balances two competing costs: ordering costs (which decrease when you order larger quantities less frequently) and holding costs (which increase when you store more inventory). The sweet spot—the EOQ—occurs where the combination of these costs is lowest, helping companies avoid both the expense of placing too many small orders and the burden of tying up cash in excess inventory sitting on shelves.
29 tokens in · 111 tokens out · 3684 ms · $0.0018

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
3694.3 ms
Base LLM
3684.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0018

Trail

05:30:58 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
05:30:58 red_gate decision=pass reason=no disqualifying input patterns detected
05:31:01 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=111 latency_ms=3684.2 cost_usd=0.0018
05:31:01 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:31:01 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:31:01 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:31:01 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:31:01 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:31:01 signed hash_algo=sha256 hash=sha256:45c3a027a8202969b915f7bdcb58587d072aff472e7a658c251f4dce99b6bca6

Content hash

sha256:45c3a027a8202969b915f7bdcb58587d072aff472e7a658c251f4dce99b6bca6

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.

Bring another teaching · Run a discernment