The Mechanism · Gated-generation receipt

gen-explain-similar-triangles-as-you-would-to-a-capable-student-0703

stable pending witness
2026-05-29 04:15:22 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain similar triangles as you would to a capable student, in 3-4 sentences.
78 chars

Generation

Similar triangles are triangles that have the same shape but not necessarily the same size—imagine taking a triangle and enlarging or shrinking it like a photocopy. The key properties are that their corresponding angles are equal and their corresponding sides are proportional (meaning the ratios between matching sides are all the same). For example, if one triangle has sides of 3, 4, and 5 cm, a similar triangle might have sides of 6, 8, and 10 cm—each side is exactly twice as long. This concept is incredibly useful for solving real-world problems, like finding heights of buildings using shadows or determining distances that are difficult to measure directly.
28 tokens in · 145 tokens out · 5034 ms · $0.0023

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
5041.4 ms
Base LLM
5034.1 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0023

Trail

04:15:22 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
04:15:22 red_gate decision=pass reason=no disqualifying input patterns detected
04:15:27 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=145 latency_ms=5034.1 cost_usd=0.0023
04:15:27 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:15:27 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:15:27 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:15:27 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:15:27 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:15:27 signed hash_algo=sha256 hash=sha256:edcf1e370a677946272b08319ce05028a7d0cd1f0e5cead9c243839ca97aadb7

Content hash

sha256:edcf1e370a677946272b08319ce05028a7d0cd1f0e5cead9c243839ca97aadb7

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.

Bring another teaching · Run a discernment