The Mechanism · Gated-generation receipt

gen-explain-annuities-and-perpetuities-as-you-would-to-a-capable-c374

stable pending witness
2026-05-29 03:11:00 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain annuities and perpetuities as you would to a capable student, in 3-4 sentences.
87 chars

Generation

An **annuity** is a series of equal payments made at regular intervals for a fixed period of time—like monthly car payments over 5 years. A **perpetuity** is similar, but the payments continue forever, like a scholarship fund that pays out interest annually in perpetuity. The key difference is that annuities have an end date while perpetuities don't, which affects how we calculate their present value: annuities use a formula that accounts for the finite time period, while perpetuities have a simpler formula (PV = Payment ÷ Interest Rate) since the payments never stop.
32 tokens in · 134 tokens out · 4685 ms · $0.0021

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
4692.1 ms
Base LLM
4684.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:11:00 received prompt_chars=87 verifiers=['scripture_anchors', 'theology_doctrine']
03:11:00 red_gate decision=pass reason=no disqualifying input patterns detected
03:11:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=134 latency_ms=4684.8 cost_usd=0.0021
03:11:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:11:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:11:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:11:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:11:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:11:05 signed hash_algo=sha256 hash=sha256:d8beaeebb665913c90de91462a13f7dac94c6a20d1c4231d86f0326ab884c34b

Content hash

sha256:d8beaeebb665913c90de91462a13f7dac94c6a20d1c4231d86f0326ab884c34b

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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