The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-hardy-weinberg-principle-state-e9f3

stable pending witness
2026-05-29 06:32:42 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the Hardy-Weinberg principle. State any key formula.
78 chars

Generation

The Hardy-Weinberg principle states that allele and genotype frequencies in a population will remain constant from generation to generation in the absence of evolutionary influences. This occurs when five conditions are met: no mutations, random mating, no gene flow, infinite population size, and no selection. The key formulas are: - **p + q = 1** (allele frequencies) - **p² + 2pq + q² = 1** (genotype frequencies) where p and q represent the frequencies of two alleles, p² is the frequency of homozygous dominant, 2pq is heterozygous, and q² is homozygous recessive individuals.
29 tokens in · 154 tokens out · 4158 ms · $0.0024

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
4164.9 ms
Base LLM
4157.9 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0024

Trail

06:32:42 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
06:32:42 red_gate decision=pass reason=no disqualifying input patterns detected
06:32:46 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=154 latency_ms=4157.9 cost_usd=0.0024
06:32:46 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:32:46 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:32:46 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:32:46 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:32:46 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:32:46 signed hash_algo=sha256 hash=sha256:117cb3405b4b2f2cb27b0206c1fe22ca5e2e42eea7a5578b5767cbecaf11545b

Content hash

sha256:117cb3405b4b2f2cb27b0206c1fe22ca5e2e42eea7a5578b5767cbecaf11545b

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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