The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-standard-error-state-any-key-fo-9431

stable pending witness
2026-05-29 05:12:21 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the standard error. State any key formula.
68 chars

Generation

The standard error (SE) measures the variability of a sample statistic (like the sample mean) across different possible samples from the same population. It quantifies how much the sample statistic is expected to differ from the true population parameter due to sampling variability. The standard error of the sample mean is calculated as: **SE = σ/√n** (or s/√n when using sample standard deviation), where σ is the population standard deviation and n is the sample size. A smaller standard error indicates the sample statistic is a more precise estimate of the population parameter.
25 tokens in · 124 tokens out · 3509 ms · $0.0019

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
3524.0 ms
Base LLM
3509.5 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0019

Trail

05:12:21 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
05:12:21 red_gate decision=pass reason=no disqualifying input patterns detected
05:12:25 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=124 latency_ms=3509.5 cost_usd=0.0019
05:12:25 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:12:25 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:12:25 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:12:25 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:12:25 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:12:25 signed hash_algo=sha256 hash=sha256:7af0b62fa5c6e5748e97009f676e8ec5cd2639f05e34e19850ce15f7bf9e2d31

Content hash

sha256:7af0b62fa5c6e5748e97009f676e8ec5cd2639f05e34e19850ce15f7bf9e2d31

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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