The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-amortization-schedules-state-any-ke-9314

stable pending witness
2026-05-29 03:59:49 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain amortization schedules. State any key formula.
72 chars

Generation

# Amortization Schedules An amortization schedule is a table that shows the breakdown of each periodic loan payment into principal and interest components over the life of the loan. Early payments consist mostly of interest, while later payments are predominantly principal, though the total payment remains constant. **Key Formula:** $$M = P \frac{r(1+r)^n}{(1+r)^n - 1}$$ where M = monthly payment, P = principal loan amount, r = monthly interest rate, and n = total number of payments. This formula calculates the fixed payment amount that will fully repay the loan over its term.
27 tokens in · 144 tokens out · 3802 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
3809.5 ms
Base LLM
3801.6 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0022

Trail

03:59:49 received prompt_chars=72 verifiers=['scripture_anchors', 'theology_doctrine']
03:59:49 red_gate decision=pass reason=no disqualifying input patterns detected
03:59:53 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=144 latency_ms=3801.6 cost_usd=0.0022
03:59:53 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:59:53 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:59:53 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:59:53 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:59:53 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:59:53 signed hash_algo=sha256 hash=sha256:c285e865557a8190081829d69d06825fcb6b58fa7ea399d978275d98fe47cac2

Content hash

sha256:c285e865557a8190081829d69d06825fcb6b58fa7ea399d978275d98fe47cac2

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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