The Mechanism · Gated-generation receipt

gen-explain-the-capital-asset-pricing-model-as-you-would-to-a-ca-3be8

stable pending witness
2026-05-29 05:11:39 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the capital asset pricing model as you would to a capable student, in 3-4 sentences.
92 chars

Generation

The Capital Asset Pricing Model (CAPM) helps you determine the expected return on an investment based on its risk. It says that your expected return equals the risk-free rate (like Treasury bonds) plus a risk premium—which is the market's extra return beyond the risk-free rate, multiplied by your investment's beta (a measure of how much it moves with the overall market). Essentially, CAPM tells you that you should only be rewarded for taking on systematic market risk, not risks you could have diversified away. The formula is: Expected Return = Risk-free Rate + Beta × (Market Return - Risk-free Rate).
30 tokens in · 138 tokens out · 4346 ms · $0.0022

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
4360.6 ms
Base LLM
4346.2 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0022

Trail

05:11:39 received prompt_chars=92 verifiers=['scripture_anchors', 'theology_doctrine']
05:11:39 red_gate decision=pass reason=no disqualifying input patterns detected
05:11:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=30 tokens_out=138 latency_ms=4346.2 cost_usd=0.0022
05:11:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:11:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:11:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:11:43 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:11:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:11:43 signed hash_algo=sha256 hash=sha256:a9164242c6d4462ac2ab70e3613630f938e2f3c2215d3c3fa47b2b2eb6b16674

Content hash

sha256:a9164242c6d4462ac2ab70e3613630f938e2f3c2215d3c3fa47b2b2eb6b16674

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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