The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-time-value-of-money-state-any-k-f1f0

stable pending witness
2026-05-29 08:00:20 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the time value of money. State any key formula.
73 chars

Generation

The time value of money is the concept that money available today is worth more than the same amount in the future due to its potential earning capacity. This core principle recognizes that money can earn interest or investment returns over time, making a dollar today more valuable than a dollar received later. The key formula is: **FV = PV(1 + r)^n** Where FV is future value, PV is present value, r is the interest rate per period, and n is the number of periods. This formula allows you to calculate how much a current sum will be worth in the future or what a future amount is worth in today's dollars.
27 tokens in · 140 tokens out · 3749 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
3755.8 ms
Base LLM
3749.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

08:00:20 received prompt_chars=73 verifiers=['scripture_anchors', 'theology_doctrine']
08:00:20 red_gate decision=pass reason=no disqualifying input patterns detected
08:00:24 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=140 latency_ms=3749.0 cost_usd=0.0022
08:00:24 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:00:24 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:00:24 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:00:24 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:00:24 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:00:24 signed hash_algo=sha256 hash=sha256:ac149e253a0bef9e9b32535007bd721d99c1259d5725fa55e70da0e1aae94981

Content hash

sha256:ac149e253a0bef9e9b32535007bd721d99c1259d5725fa55e70da0e1aae94981

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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