Gate-5 property 6 is vacuous in two preregistered boxes where all three RH-violating rivals have zero count 0 exactly as zeta does, and box-dependence is demonstrated: Davenport-Heilbronn satisfies the property on those boxes and fails it on a third box around its pinned off-line zero.
hunts/gate5_p6_b (Record 18 of 98 in chronological sequence)
Guiding Question
Does gate-5 property 6, the completed function has no zeros in a box strictly off the critical line, distinguish zeta from the three RH-violating rivals of zeta.epstein.battery, or is it vacuous?
Method & Verification
Three boxes and a precision rule were fixed in MISSION.md at 623e800 before any count; ten decided argument-principle counts were replicated at fifteen extra digits with worst relative disagreement 3.5e-22.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
Case-log status is probe, complete; handback status is settled. Disposition maps to completed. Qualifications retained: grade is measured, not enclosure-supported, and box B's two Epstein cells are undecided on cost. Parallel independence with the other two property-6 hunts is preserved.
Date Provenance
commit 77945b2a47ea247933104471331fa89f6e776429, hunts/gate5_p6_b/RESULTS.md, author 2026-08-14T03:28:16Z