The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-orbital-eccentricity-state-any-key-959a

stable pending witness
2026-05-29 05:30:37 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain orbital eccentricity. State any key formula.
70 chars

Generation

Orbital eccentricity measures how much an orbit deviates from a perfect circle, ranging from 0 (circular) to values approaching 1 (highly elliptical). It describes the shape of an elliptical orbit, where higher eccentricity means a more elongated path. The key formula is: **e = c/a**, where *e* is eccentricity, *c* is the distance from the center to a focus, and *a* is the semi-major axis (half the longest diameter). Alternatively, it can be calculated as **e = (r_max - r_min)/(r_max + r_min)** using the maximum and minimum orbital distances.
27 tokens in · 157 tokens out · 4993 ms · $0.0024

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
5001.3 ms
Base LLM
4992.9 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0024

Trail

05:30:37 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
05:30:37 red_gate decision=pass reason=no disqualifying input patterns detected
05:30:42 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=157 latency_ms=4992.9 cost_usd=0.0024
05:30:42 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:30:42 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:30:42 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:30:42 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:30:42 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:30:42 signed hash_algo=sha256 hash=sha256:e361a0593c9be33c775b135df6d21057dec6c3d7720b5ccea26680a30938a682

Content hash

sha256:e361a0593c9be33c775b135df6d21057dec6c3d7720b5ccea26680a30938a682

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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