The Mechanism · Gated-generation receipt

gen-state-the-hot-hand-fallacy-precisely-and-explain-why-it-matt-f162

stable pending witness
2026-05-29 03:28:06 UTC · anthropic/claude-sonnet-4-5

Prompt

State the hot-hand fallacy precisely and explain why it matters in 2-3 sentences.
81 chars

Generation

The hot-hand fallacy is the mistaken belief that a person who experiences success with a random event has a greater chance of further success in subsequent attempts—like believing a basketball player who makes several shots in a row is "hot" and more likely to make the next one, when each shot may actually be statistically independent. It matters because it leads people to see patterns in random sequences and make poor decisions based on perceived streaks, affecting everything from sports strategy to gambling behavior to investment choices. Recognizing this fallacy helps distinguish genuine skill or momentum effects from mere coincidence in random processes.
28 tokens in · 126 tokens out · 4871 ms · $0.002

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
4881.2 ms
Base LLM
4871.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.002

Trail

03:28:06 received prompt_chars=81 verifiers=['scripture_anchors', 'theology_doctrine']
03:28:06 red_gate decision=pass reason=no disqualifying input patterns detected
03:28:11 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=126 latency_ms=4871.0 cost_usd=0.002
03:28:11 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:28:11 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:28:11 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:28:11 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:28:11 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:28:11 signed hash_algo=sha256 hash=sha256:3ece9306c6fd875430d35654efe8e2062ac72bfa6841ef147960758f4be86130

Content hash

sha256:3ece9306c6fd875430d35654efe8e2062ac72bfa6841ef147960758f4be86130

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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