The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-spectral-classification-of-stars-st-e5a8

stable pending witness
2026-05-29 07:00:12 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain spectral classification of stars. State any key formula.
82 chars

Generation

Spectral classification organizes stars by their surface temperature and spectral features, using the categories O, B, A, F, G, K, M (from hottest to coolest), with O stars exceeding 30,000 K and M stars below 3,500 K. Each class is further subdivided using numbers 0-9, and luminosity classes (I-V) indicate whether a star is a supergiant, giant, or dwarf. The classification relates to color through **Wien's displacement law: λ_max = b/T**, where b ≈ 2.898 × 10⁻³ m·K, showing that hotter stars peak at shorter (bluer) wavelengths. Our Sun is classified as G2V, indicating a yellow main-sequence star with a surface temperature around 5,800 K.
27 tokens in · 191 tokens out · 5014 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 CONFIRMED
1 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
5022.8 ms
Base LLM
5013.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0029

Trail

07:00:12 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
07:00:12 red_gate decision=pass reason=no disqualifying input patterns detected
07:00:17 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=191 latency_ms=5013.9 cost_usd=0.0029
07:00:17 verifier:scripture_anchors verdict=CONFIRMED summary=1 Scripture citation(s) extracted
07:00:17 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:00:17 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:00:17 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:00:17 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:00:17 signed hash_algo=sha256 hash=sha256:28ad4ba8d8c6ae3ad7e945a0a91efc9410efce2641d3ada863cd6f19293a718a

Content hash

sha256:28ad4ba8d8c6ae3ad7e945a0a91efc9410efce2641d3ada863cd6f19293a718a

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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