The Mechanism · Gated-generation receipt

gen-explain-the-rsa-algorithm-as-you-would-to-a-capable-student-2961

stable pending witness
2026-05-29 03:26:29 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain the RSA algorithm as you would to a capable student, in 3-4 sentences.
78 chars

Generation

RSA encryption works by using two mathematically related keys: a public key that anyone can use to encrypt messages, and a private key that only you possess to decrypt them. The security relies on the fact that while it's easy to multiply two large prime numbers together, it's extremely difficult to factor that product back into its original primes. When someone encrypts a message using your public key, only your private key (derived from those secret prime factors) can decrypt it, making secure communication possible even over insecure channels.
29 tokens in · 110 tokens out · 3212 ms · $0.0017

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
3219.0 ms
Base LLM
3211.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0017

Trail

03:26:29 received prompt_chars=78 verifiers=['scripture_anchors', 'theology_doctrine']
03:26:29 red_gate decision=pass reason=no disqualifying input patterns detected
03:26:32 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=110 latency_ms=3211.5 cost_usd=0.0017
03:26:32 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:26:32 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:26:32 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:26:32 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:26:32 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:26:32 signed hash_algo=sha256 hash=sha256:9257bfffc89df2aa4c0f5208d8fce6d4d6c18d36dd0f6b247ab82c10b87b016f

Content hash

sha256:9257bfffc89df2aa4c0f5208d8fce6d4d6c18d36dd0f6b247ab82c10b87b016f

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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