The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-diffie-hellman-key-exchange-state-a-6973

stable pending witness
2026-05-29 03:01:51 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain Diffie-Hellman key exchange. State any key formula.
77 chars

Generation

Diffie-Hellman key exchange allows two parties to establish a shared secret over an insecure channel without prior communication. Each party generates a private key (a or b) and computes a public key using the formula **g^a mod p** or **g^b mod p**, where g is a generator and p is a large prime number. After exchanging public keys, each party computes the shared secret using the formula **(g^b)^a mod p** or **(g^a)^b mod p**, which both equal **g^(ab) mod p**. An eavesdropper cannot easily determine the shared secret without solving the discrete logarithm problem.
31 tokens in · 151 tokens out · 3354 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
3361.5 ms
Base LLM
3354.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0024

Trail

03:01:51 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
03:01:51 red_gate decision=pass reason=no disqualifying input patterns detected
03:01:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=31 tokens_out=151 latency_ms=3354.3 cost_usd=0.0024
03:01:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:01:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:01:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:01:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:01:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:01:54 signed hash_algo=sha256 hash=sha256:758b54c7e34ab8a5a9c381b2e886de1f2e3ec5b626bb16e6879db438537e2063

Content hash

sha256:758b54c7e34ab8a5a9c381b2e886de1f2e3ec5b626bb16e6879db438537e2063

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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