The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-a-pedigree-analysis-state-any-key-f-8de0

stable pending witness
2026-05-29 06:23:10 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain a pedigree analysis. State any key formula.
69 chars

Generation

A pedigree analysis is a genetic study that traces the inheritance pattern of a specific trait or disorder through multiple generations of a family using a diagram with standardized symbols (squares for males, circles for females, shaded shapes for affected individuals). By examining how traits are passed from parents to offspring, geneticists can determine whether a trait is dominant or recessive, autosomal or sex-linked, and calculate the probability of inheritance in future generations. **Key formula**: For autosomal recessive inheritance, the carrier frequency can be estimated using the **Hardy-Weinberg equation: p² + 2pq + q² = 1**, where q² represents the frequency of affected individuals (homozygous recessive), 2pq represents carriers (heterozygous), and p² represents homozygous dominant individuals.
27 tokens in · 178 tokens out · 4087 ms · $0.0028

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
4094.3 ms
Base LLM
4086.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0028

Trail

06:23:10 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
06:23:10 red_gate decision=pass reason=no disqualifying input patterns detected
06:23:14 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=178 latency_ms=4086.8 cost_usd=0.0028
06:23:14 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:23:14 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:23:14 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:23:14 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:23:14 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:23:14 signed hash_algo=sha256 hash=sha256:4716e5d6c40dc56d5ea6522e300cd2de3b9f413acfe7a0565c1b1f0c56aa93a9

Content hash

sha256:4716e5d6c40dc56d5ea6522e300cd2de3b9f413acfe7a0565c1b1f0c56aa93a9

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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