The Mechanism · Gated-generation receipt

gen-state-zero-knowledge-proofs-precisely-and-explain-why-it-mat-576e

stable pending witness
2026-05-29 05:10:23 UTC · anthropic/claude-sonnet-4-5

Prompt

State zero-knowledge proofs precisely and explain why it matters in 2-3 sentences.
82 chars

Generation

# Zero-Knowledge Proofs (Precise Definition) A zero-knowledge proof is a cryptographic protocol where a **prover** convinces a **verifier** that a statement is true while revealing *nothing* beyond the statement's validity. Formally, it must satisfy three properties: 1. **Completeness**: If the statement is true, an honest verifier will be convinced by an honest prover 2. **Soundness**: If the statement is false, no cheating prover can convince the verifier (except with negligible probability) 3. **Zero-knowledge**: The verifier learns nothing except that the statement is true—the interaction can be simulated without knowing the secret ## Why It Matters Zero-knowledge proofs enable **privacy-preserving verification**: you can prove you know a password, have sufficient funds, or meet age requirements without revealing the actual password, account balance, or birthdate. This is foundational for privacy-focused cryptocurrencies, anonymous authentication systems, and any scenario requiring trust without exposing sensitive data.
27 tokens in · 227 tokens out · 7644 ms · $0.0035

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
7651.5 ms
Base LLM
7643.9 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0035

Trail

05:10:23 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
05:10:23 red_gate decision=pass reason=no disqualifying input patterns detected
05:10:31 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=227 latency_ms=7643.9 cost_usd=0.0035
05:10:31 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:10:31 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:10:31 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:10:31 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:10:31 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:10:31 signed hash_algo=sha256 hash=sha256:d9fb1d478fdf32cdcf836171b353ce0c869e743f7f0058d17119a97d9487318c

Content hash

sha256:d9fb1d478fdf32cdcf836171b353ce0c869e743f7f0058d17119a97d9487318c

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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