The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-survival-analysis-of-careers-state-0bb6

stable pending witness
2026-05-29 03:03:38 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain survival analysis of careers. State any key formula.
78 chars

Generation

# Survival Analysis of Careers Survival analysis examines the duration until a career event occurs (e.g., job termination, promotion, or retirement), treating careers as time-to-event data. The method handles censored observations where the event hasn't occurred by the study's end, making it ideal for incomplete career trajectories. The **hazard function** is central to this analysis: **h(t) = lim(Δt→0) P(t ≤ T < t + Δt | T ≥ t) / Δt** where h(t) represents the instantaneous risk of the career event occurring at time t, given survival until that time. The **survival function S(t) = P(T > t)** gives the probability of remaining in a career state beyond time t.
26 tokens in · 185 tokens out · 8287 ms · $0.0029

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
8293.8 ms
Base LLM
8286.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

03:03:38 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
03:03:38 red_gate decision=pass reason=no disqualifying input patterns detected
03:03:47 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=185 latency_ms=8286.7 cost_usd=0.0029
03:03:47 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:03:47 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:03:47 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:03:47 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:03:47 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:03:47 signed hash_algo=sha256 hash=sha256:7837973eb4eeffc887eb1ec13cdc4ab19e31486c60f0fb197cd5712f61a82c1d

Content hash

sha256:7837973eb4eeffc887eb1ec13cdc4ab19e31486c60f0fb197cd5712f61a82c1d

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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