The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-a-linear-map-answer-concisely-in-7438

stable pending witness
2026-05-29 06:31:26 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of a linear map? Answer concisely in 2-3 sentences.
76 chars

Generation

A linear map is a function between vector spaces that preserves vector addition and scalar multiplication, making it fundamental to linear algebra. It allows us to study how structures transform while maintaining their essential linear properties, which is crucial for solving systems of equations, understanding transformations in geometry, and modeling relationships in science and engineering. Linear maps can be represented by matrices, connecting abstract algebraic concepts to concrete computational tools.
28 tokens in · 84 tokens out · 3709 ms · $0.0013

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
3717.3 ms
Base LLM
3709.3 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0013

Trail

06:31:26 received prompt_chars=76 verifiers=['scripture_anchors', 'theology_doctrine']
06:31:26 red_gate decision=pass reason=no disqualifying input patterns detected
06:31:30 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=84 latency_ms=3709.3 cost_usd=0.0013
06:31:30 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:31:30 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:31:30 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:31:30 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:31:30 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:31:30 signed hash_algo=sha256 hash=sha256:e1dca02e959ae6f0a68b63a346a7a3a443062c162c5019133e683e8df524cbb9

Content hash

sha256:e1dca02e959ae6f0a68b63a346a7a3a443062c162c5019133e683e8df524cbb9

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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