The Mechanism · Gated-generation receipt

gen-define-pace-adjusted-statistics-and-give-one-short-worked-ex-5896

stable pending witness
2026-05-29 05:00:22 UTC · anthropic/claude-sonnet-4-5

Prompt

Define pace-adjusted statistics and give one short worked example.
66 chars

Generation

# Pace-Adjusted Statistics **Definition:** Pace-adjusted statistics standardize player performance metrics to account for the different speeds at which teams play. They typically express counting stats (points, rebounds, assists, etc.) per a fixed number of possessions (usually per 100 possessions) rather than per game, allowing fair comparison between players on fast-paced and slow-paced teams. ## Formula **Per 100 Possessions = (Player Stat / Team Possessions) × 100** ## Worked Example **Player A:** - Points per game: 20 - Team possessions per game: 95 **Player B:** - Points per game: 22 - Team possessions per game: 105 **Without pace adjustment:** Player B appears better (22 > 20 PPG) **With pace adjustment:** - Player A: (20 / 95) × 100 = **21.1 points per 100 possessions** - Player B: (22 / 105) × 100 = **21.0 points per 100 possessions** **Conclusion:** When adjusted for pace, Player A is actually slightly more productive per possession, despite scoring fewer points per game. Player B's team simply has more possessions, giving him more scoring opportunities.
19 tokens in · 294 tokens out · 9425 ms · $0.0045

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
9431.1 ms
Base LLM
9424.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0045

Trail

05:00:22 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
05:00:22 red_gate decision=pass reason=no disqualifying input patterns detected
05:00:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=19 tokens_out=294 latency_ms=9424.8 cost_usd=0.0045
05:00:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:00:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:00:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:00:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:00:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:00:32 signed hash_algo=sha256 hash=sha256:48d2d3d092cf80612192edbf200b5f0be2fd8ef9c697cfc4e513b72126dec3c0

Content hash

sha256:48d2d3d092cf80612192edbf200b5f0be2fd8ef9c697cfc4e513b72126dec3c0

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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