The Mechanism · Gated-generation receipt

gen-define-the-value-of-a-possession-and-give-one-short-worked-e-7fcb

stable pending witness
2026-05-29 07:39:03 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the value of a possession and give one short worked example.
67 chars

Generation

# Value of a Possession **Definition:** The value of a possession in soccer is the **expected goals (xG) generated during that possession** minus the **xG conceded if possession is lost**. Mathematically: **Possession Value = xG created - xG conceded upon turnover** This captures both the attacking opportunity and the risk of losing the ball. --- ## Worked Example **Scenario:** A team wins the ball at midfield and has two options: **Option A:** Pass backward to the defender (safe) - Probability of maintaining possession: 95% - Expected xG if retained: 0.05 - xG conceded if lost in defensive third: 0.40 - **Value = 0.95(0.05) + 0.05(-0.40) = 0.0475 - 0.02 = +0.028** **Option B:** Attempt through-ball to striker (risky) - Probability of success: 40% - xG if successful: 0.30 - xG conceded if intercepted: 0.15 - **Value = 0.40(0.30) + 0.60(-0.15) = 0.12 - 0.09 = +0.030** **Decision:** Option B has slightly higher value (+0.030 vs +0.028), so the aggressive pass is marginally better despite the risk.
20 tokens in · 330 tokens out · 8112 ms · $0.005

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
8119.6 ms
Base LLM
8111.5 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.005

Trail

07:39:03 received prompt_chars=67 verifiers=['scripture_anchors', 'theology_doctrine']
07:39:03 red_gate decision=pass reason=no disqualifying input patterns detected
07:39:11 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=20 tokens_out=330 latency_ms=8111.5 cost_usd=0.005
07:39:11 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:39:11 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:39:11 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:39:11 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:39:11 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:39:11 signed hash_algo=sha256 hash=sha256:81023c7a9811c802527c8bed0e22380e19fc22df17dfa8d5cd9a3d6227887fe8

Content hash

sha256:81023c7a9811c802527c8bed0e22380e19fc22df17dfa8d5cd9a3d6227887fe8

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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