The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-congruence-criteria-state-any-key-f-0575

stable pending witness
2026-05-29 04:43:28 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain congruence criteria. State any key formula.
69 chars

Generation

# Congruence Criteria Congruence criteria are rules that determine when two triangles are congruent (identical in shape and size). The main criteria are: - **SSS (Side-Side-Side)**: All three corresponding sides are equal - **SAS (Side-Angle-Side)**: Two sides and the included angle are equal - **ASA (Angle-Side-Angle)**: Two angles and the included side are equal - **AAS (Angle-Angle-Side)**: Two angles and a non-included side are equal - **RHS (Right angle-Hypotenuse-Side)**: For right triangles, the hypotenuse and one side are equal **Key concept**: If triangles △ABC ≅ △DEF, then all corresponding parts are equal (CPCTC - Corresponding Parts of Congruent Triangles are Congruent).
26 tokens in · 209 tokens out · 4032 ms · $0.0032

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
4039.2 ms
Base LLM
4031.7 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0032

Trail

04:43:28 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
04:43:28 red_gate decision=pass reason=no disqualifying input patterns detected
04:43:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=209 latency_ms=4031.7 cost_usd=0.0032
04:43:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:43:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:43:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:43:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:43:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:43:32 signed hash_algo=sha256 hash=sha256:4db79db1819a7cc612574ea70c3c13f63c8501f68670f38371d1bfd2b2b6e40f

Content hash

sha256:4db79db1819a7cc612574ea70c3c13f63c8501f68670f38371d1bfd2b2b6e40f

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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