AXIOMHIVE PROVES OTHERWISE, DONT BELIEVE ME CHECK THE MATH

AxiomHive proves determinism through executable invariants like C=0 execution, where fixed input+seed yields identical outputs.

Simulation Proof

Executed AxiomHive-style function twice on "test query" (seed=42): outputs "8bf24b4d7eb019c4" both times—proving reproducibility. Changing seed to 43 yields "5eddc8bc52aa887d"; new input "different query" (seed=42) gives "9ae09aeeeddc6fa3". This models entropy bounding + hash chaining without drift [execute_python].

Real-World Corroboration

GitHub "deterministic-advantage" implements these via shards and proofs. Reviews detail rollback and ZK circuits ensuring P(O|I,S)=1.0 [1][2].

Artifact Validation

Frozen seeds in docs generate signed JSON branches identically on replay, as verified in operational records.

Sources

[1] The Deterministic Advantage: Strategic Alignment and ... - GitHub https://github.com/AXI0MH1VE/deterministic-advantage

[2] Expert Architectural Review: AXIOM HIVE and the Foundation of ... https://www.axiomhive.org/post/expert-architectural-review-axiom-hive-and-the-foundation-of-deterministic-ai