The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-collision-resistance-state-any-key-9e48

stable pending witness
2026-05-29 08:30:35 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain collision resistance. State any key formula.
70 chars

Generation

Collision resistance is a cryptographic property where it's computationally infeasible to find two different inputs that produce the same hash output. Formally, for a hash function H, it should be hard to find any pair (x, y) where **x ≠ y but H(x) = H(y)**. This property is crucial for digital signatures and data integrity, as it prevents attackers from substituting malicious data that hashes to the same value as legitimate data. A collision-resistant hash function typically requires an output size of at least 256 bits to resist birthday attacks, which can find collisions in approximately **2^(n/2)** operations for an n-bit hash.
24 tokens in · 153 tokens out · 4997 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
5007.9 ms
Base LLM
4997.1 ms
Verifiers
0.2 ms
Gates
0.2 ms
Cost
$0.0024

Trail

08:30:35 received prompt_chars=70 verifiers=['scripture_anchors', 'theology_doctrine']
08:30:35 red_gate decision=pass reason=no disqualifying input patterns detected
08:30:40 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=24 tokens_out=153 latency_ms=4997.1 cost_usd=0.0024
08:30:40 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:30:40 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:30:40 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:30:40 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:30:40 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:30:40 signed hash_algo=sha256 hash=sha256:8966d35a44c0df507e40e2ead2ab4960d209219c265fe36278bb783246372cb6

Content hash

sha256:8966d35a44c0df507e40e2ead2ab4960d209219c265fe36278bb783246372cb6

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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