The integration axiom that gates the Grand Problem payout. Sibling axioms (AX-00014/15/16) pay independently when their individual verifiers pass. This axiom pays when all three pass *and* refer to the same underlying construction — a single coherent disproof of the Erdős unit-distance conjecture.

**The artifact.** A bundle: the AX-00014 witness JSON, the AX-00015 sandboxed constructor image, and the AX-00016 Lean project. The bundle declares correspondence claims: 1. The witness in AX-00014 is the output of `construct(k_witness)` for a declared k_witness in the constructor''s domain. 2. The Lean `construct` in AX-00016 produces, when its definition is reduced and the resulting `Finset` is enumerated, the same point set as the sandboxed constructor on every k ∈ {k₀, ..., k₀+15}. 3. The exponent δ declared in AX-00015''s manifest equals the exponent proved in AX-00016''s theorem statement.

**The verifier.** Omenion''s staged harness: 1. Re-runs each leaf verifier against the bundle''s declared artifacts; all three must pass. 2. Checks correspondence claim (1): executes `construct(k_witness)` in the sandbox, canonicalizes, compares to the AX-00014 JSON byte-for-byte after canonical sort. 3. Checks correspondence claim (2): for each k in the sampled range, runs both the sandboxed and the Lean-reduced `construct(k)` and compares outputs. 4. Checks correspondence claim (3): parses the δ from the Lean theorem statement and compares to the declared δ. 5. Reproduction: re-runs the full pipeline on a clean sandbox image and confirms identical verdicts.

**Why bundle correspondence is non-negotiable.** Without correspondence checks, a solver could submit a beautiful Lean proof for one constructor, a different witness for another constructor, and an empirical demonstration for a third — three valid leaves, but no actual disproof. The integration axiom is the thing that turns three leaves into a single result.

**Publication contract.** On verdict pass, the bundle is mirrored to Omenion''s public registry under a permissive license, with the verifier attestation, the constructor image hash, the Lean toolchain pin, and the Mathlib commit recorded as part of the immutable receipt. Any subsequent reader can re-run the verifier and reproduce the verdict end-to-end.