diff --git a/research/complex-t16-vacancy-chain/CANDIDATE.json b/research/complex-t16-vacancy-chain/CANDIDATE.json
new file mode 100644
index 0000000000..1f9e5c951e
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/CANDIDATE.json
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+{
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index 0000000000..d6427d2eb7
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index 0000000000..e0f4d31521
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+  "LOCAL-PINS.json": "c9e7ad3818f2a841ea0d224089ca2f975caff2d04cc12b55f072fca88df53140",
+  "README.md": "3f803b76f43fff9a738b6fbf45711b920405182d8de62769478d4d9b0b83aea4",
+  "OVERLAP.json": "ed0552ac37e974e09b96220ed73b21bbf4a89e342c94d6665bdaebd85d7549af",
+  "INPUTS.json": "cb968989e14e85b554c3ccbb3f981eec8c2cb44d4deb9735781c51e7623997cb",
+  "VALIDATION.json": "aa90996c79852512db53a2e1138d37eccf404c012fcf6a6a94cb123575881e42",
+  "verify.py": "ec56bac0d8f2f59338498132fc91db6a216dcda2074c2bcf8bf8d6a81001abf0",
+  "evidence/ASSEMBLY.json": "b0285f3f1744c07ace830600ea0e904043ff8f497720084a9c0826678f9301d3",
+  "evidence/BIT-SUPPLIER-CONTROLS.json": "2cd71c4df0157fc1ce9b2d7c983f9f91308724b307376ad2857223c95b5631c9",
+  "evidence/REPLAY.json": "6b6ef7dfed5e0a2a47a153422e7bcba17d30f9183218f576df694a42acab5047",
+  "evidence/ADMISSION-CONTROLS.json": "4965de78ce4c735c1cf8b193641dd80818edf6f320d1b4720c77d964324e3b79",
+  "evidence/STAGES.json": "c43c03e932611f4885057b7c9f6dc291b1ca8f6d100481a56722d063ae0ad5c7",
+  "data/SPEC.json": "e3868a1fe9740fb4f8557aeaaa4dc00a204078ef183605221b7e21eaf6bc551c",
+  "data/PLAN.json": "954e0df66558321570d9a98e1d47ebbc7540f53cf9522c1fb63b03847fd570bc",
+  "data/OWNERS.json.gz": "76df9a5b1c4f3c1e13a2e3c7946b35499a16307da90513f3a19edc7e6b598f34"
+}
diff --git a/research/complex-t16-vacancy-chain/MOVES.json b/research/complex-t16-vacancy-chain/MOVES.json
new file mode 100644
index 0000000000..8ee9de0865
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/MOVES.json
@@ -0,0 +1,118 @@
+[
+  {
+    "index": 2010,
+    "before": {
+      "child": 0,
+      "copy": 102,
+      "family": 326,
+      "helper": 90,
+      "offset": 9,
+      "owner_replica": 0,
+      "port": 102,
+      "replica": 0,
+      "stage": 1,
+      "time": 4,
+      "width": 4
+    },
+    "after": {
+      "child": 8,
+      "copy": 1335,
+      "family": 10631,
+      "helper": 90,
+      "offset": 40,
+      "owner_replica": 11,
+      "port": 103,
+      "replica": 0,
+      "stage": 1,
+      "time": 4,
+      "width": 4
+    }
+  },
+  {
+    "index": 4474,
+    "before": {
+      "child": 0,
+      "copy": 246,
+      "family": 2038,
+      "helper": 154,
+      "offset": 9,
+      "owner_replica": 2,
+      "port": 22,
+      "replica": 9,
+      "stage": 1,
+      "time": 9,
+      "width": 4
+    },
+    "after": {
+      "child": 8,
+      "copy": 1335,
+      "family": 10631,
+      "helper": 154,
+      "offset": 44,
+      "owner_replica": 11,
+      "port": 103,
+      "replica": 9,
+      "stage": 1,
+      "time": 9,
+      "width": 4
+    }
+  },
+  {
+    "index": 34306,
+    "before": {
+      "child": 8,
+      "copy": 1335,
+      "family": 10631,
+      "helper": 226,
+      "offset": 40,
+      "owner_replica": 11,
+      "port": 103,
+      "replica": 15,
+      "stage": 1,
+      "time": 71,
+      "width": 7
+    },
+    "after": {
+      "child": 15,
+      "copy": 198,
+      "family": 1318,
+      "helper": 226,
+      "offset": 25,
+      "owner_replica": 1,
+      "port": 86,
+      "replica": 15,
+      "stage": 1,
+      "time": 71,
+      "width": 7
+    }
+  },
+  {
+    "index": 46308,
+    "before": {
+      "child": 15,
+      "copy": 198,
+      "family": 1318,
+      "helper": 228,
+      "offset": 25,
+      "owner_replica": 1,
+      "port": 86,
+      "replica": 3,
+      "stage": 6,
+      "time": 96,
+      "width": 7
+    },
+    "after": {
+      "child": 15,
+      "copy": 1470,
+      "family": 11998,
+      "helper": 228,
+      "offset": 25,
+      "owner_replica": 13,
+      "port": 14,
+      "replica": 3,
+      "stage": 6,
+      "time": 96,
+      "width": 7
+    }
+  }
+]
diff --git a/research/complex-t16-vacancy-chain/OVERLAP.json b/research/complex-t16-vacancy-chain/OVERLAP.json
new file mode 100644
index 0000000000..875a53b14a
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/OVERLAP.json
@@ -0,0 +1,168 @@
+{
+  "status": "POSSIBLE_OVERLAP_NOT_A_NOVELTY_CERTIFICATE",
+  "searched_at": "2026-10-14T18:42:15.593356+00:00",
+  "terms": [
+    "vacancy",
+    "H8-H7",
+    "H7-2",
+    "four-helper"
+  ],
+  "coverage": {
+    "open_prs": {
+      "fetched_at": "2026-10-14T18:40:44.452390+00:00",
+      "complete_pagination": true,
+      "records": 347
+    },
+    "discussions": {
+      "fetched_at": "2026-10-14T18:42:15.528286+00:00",
+      "complete_pagination": true,
+      "records": 723
+    }
+  },
+  "local_records": 327,
+  "warnings": [],
+  "limits": "Remote PR scope is open PRs including drafts. Closed work is searched through local READMEs, TASK metadata and ledger only. No code diffs or arbitrary package files are searched. Recheck relevant heads before submission.",
+  "matches_total": 9,
+  "matches": [
+    {
+      "number": 1695,
+      "title": "Claim: Five-helper cyclic basis changes on the R439 D map",
+      "kind": "discussion",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1695",
+      "updated_at": "2026-10-14T08:20:33Z",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "corporated PR967 helper-star word, PR1015/PR923 B blocks, the PR1040 target retune lineage, and the four-helper search in `research/r439-helper-quartets-seed07/`. The fresh overlap helper at 2026-10-14 07:13 UTC covered 385 open PRs and 337 Discussions with complete pagination and returned no match for this exact scope. Nearby open work #1333 (binary affine register theorem) and #1662 (UT4 central tariff) changes the address algebra/object and is not imported. No novelty guarantee is inferred fr"
+    },
+    {
+      "number": 1544,
+      "title": "DONE: exact three-helper / four-target dirty shear costs",
+      "kind": "discussion-comment",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/discussions/1544#discussioncomment-18917361",
+      "updated_at": "2026-10-14T06:38:26Z",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "**CLAIM** \u2014 four-helper / four-target dirty shear costs (the open next question of PR1557)\n\nQuestion: for every binary 4-by-4 K, does target feedback lower the minimum unit-cost single-source XOR count of the fully restored dirty shear `(h,y) -> (h,y+Kh)` (same model and two alphabets as PR1306/PR1557: eight arbitrary dirty registers, no extra registers)?\nBase / predecessors: main `418e40eb`; PR1306 (@commdata2338) and PR1557 (@bbMisk) model, census and handoff.\nMethod and domain: all 65,536 K a"
+    },
+    {
+      "kind": "local-readme",
+      "title": "research/r439-helper-quartets-seed07/README.md",
+      "path": "research/r439-helper-quartets-seed07/README.md",
+      "sha256": "251ebba7c9c721c36f357a8515533717560c27ac9a7a2dbe653c4ba3eebefe38",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "# A four-helper fusion below the R439 disjoint-pair floor\n\nOne four-helper change reduces the frozen PR941 circuit from **11,949 to\n11,946 complete ADDs**, including preparation and restoration. It crosses\nthe **11,948-ADD disjoint-pair floor** certified by PR941, whose integer dual\ncertificate is replayed here. The new helper graph is a connected four-node\npath, outside that class. No new kappa is claimed.\n\nThis is a small construction and an exact bounded search result. It is not\nthe cheapest "
+    },
+    {
+      "kind": "local-readme",
+      "title": "research/u8-e4-gap-fill/README.md",
+      "path": "research/u8-e4-gap-fill/README.md",
+      "sha256": "cbde1d1483b451437e9a9cefe939cc5263edfc207ba4441564c5310ad45cca8d",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": " construction changes one of the 333 local invocations in PR942's T37\nconstruction. It reverses one four-helper entrance-promotion group, then\nmoves the four enlarged helpers into four existing unit gaps. The nominated\nouter exponent is\n\n\\[\n\\kappa=0.001661961039655941,\n\\]\n\nan increase of `0.000000000491941994` over PR942's\n`0.001661960547713947`. Both figures use the repository's retained conditional\ninteger-multiplication framework, whose running-time claim is\n\\(T(n)=O(n(\\log n)^{1-\\kappa})\\). "
+    },
+    {
+      "kind": "pr",
+      "number": 1183,
+      "title": "Conditional kappa 0.001675603180601302: mixed entrance providers on T37 owners",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1183",
+      "head": "9e7ccda21f28f5dd0397aa04a596e4f0e1d75d1d",
+      "updated_at": "2026-10-14T05:30:16Z",
+      "draft": false,
+      "state": "open",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "683629385640127295304%** above PR1169's 0.001675568675201533.\n\nIn 23 of 333 calls, three additional four-helper entrance groups (619, 627, 651) use narrower entrance frames. Within-call whole-helper exchanges place the twelve affected roles in twelve distinct one-axis gaps before widening them from four to five axes. The 69 group instances consume 276 actual idle axes. All 159,840 roles remain whole; idle profile is H1=558, H48=11374. Aggregate paid delta is -828 H1 +552 H2 +276 H3 -276 H4. This"
+    },
+    {
+      "kind": "pr",
+      "number": 1192,
+      "title": "Conditional kappa 0.001675670695307702: cross-call T37 entrance augmentation",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1192",
+      "head": "970793428d346b4aa8d8fa2af03aa6dd5ad6f994",
+      "updated_at": "2026-10-14T05:30:37Z",
+      "draft": false,
+      "state": "open",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "stronger provider now occupies 68 of 333 calls (45 additional calls). Each extra call changes three four-helper entrance groups. Actual source-window-compatible exchanges preserve whole helpers and per-call physical-family uniqueness. The additional 135 group instances consume 540 more unit gaps, leaving idle H1=18, H48=11374. All 159,840 roles remain whole and the deficit is unchanged. Aggregate profile is H1=785598, H2=167466, H3=138012, H4=42474, H5=27306, H8=2664, H48=11374.\n\nVerification pa"
+    },
+    {
+      "kind": "pr",
+      "number": 1218,
+      "title": "Conditional kappa 0.001675809683500501: global mixed allocation with X54 and fusions",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1218",
+      "head": "0aa147977ad226f9d777d6a21a610ab037985b1e",
+      "updated_at": "2026-10-14T06:10:04Z",
+      "draft": false,
+      "state": "open",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "2887%** above PR1207's 0.001675807682652000.\n\nThere are 125 base calls and 208 calls with one extra four-helper entrance group. This consumes 16 more unit gaps than PR1207's 68 calls with three added groups. Both final words preserve PR1193's ordered helper widths, common ports and centre frames. Profiles:\n- Base (125 calls): H1=2358, H2=504, H3=410, H4=130, H5=82, H8=8.\n- Extra (208 calls): H1=2350, H2=512, H3=414, H4=126, H5=82, H8=8.\n- Idle: H1=2, H48=11374.\n- Complete: H1=783552, H2=169496, "
+    },
+    {
+      "kind": "pr",
+      "number": 1154,
+      "title": "Conditional kappa = 0.001673260706543984: adaptive joint kernel demotion on PR1117",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1154",
+      "head": "390de2866a03758e7f4ddbb2846e5b2ee4e72154",
+      "updated_at": "2026-10-14T05:29:23Z",
+      "draft": false,
+      "state": "open",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "ending stock\n\nPR1117 supplies the rank-seven end word and its T16 owner schedule. PR1111 supplies a four-helper entrance-demotion recipe. Applying one fixed provider everywhere ignores the actual pending capacities. This package constructs and checks five joint local prefixes and chooses the prefix separately at every literal call:\n\n1. Groups are ordered **635, 603, 611, 619, 627**. Their helper indices are respectively `(411,413,414,415)`, `(379,381,382,383)`, `(387,389,390,391)`, `(395,397,398"
+    },
+    {
+      "kind": "pr",
+      "number": 1048,
+      "title": "Research: the bit paid profile is the whole bit supplier \u2014 exact pricer, and the reframing class is exhausted at #589 (no \u03ba claim)",
+      "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1048",
+      "head": "07730cd8302c378607259a9ad0efb73e0b57a2f2",
+      "updated_at": "2026-10-13T17:18:47Z",
+      "draft": false,
+      "state": "open",
+      "matched_terms": [
+        "four-helper"
+      ],
+      "score": 1,
+      "excerpt": "fferent R439 lineage (post-PR915/PR967), and\n  **#1045** crosses PR941's disjoint-pair floor with a four-helper fusion. Different words, different\n  accounting, different move classes.\n* Those results are cited from their own packages and were **not** re-run here.\n\n## Scope and limits\n\n* Finite, exact audit of two specific words and one move class. Not an optimality theorem over bit\n  words, and **not** an exclusion of three-or-more-move escapes of the plateau.\n* The two-move search is complete "
+    }
+  ],
+  "subsequent_review": {
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2077#issuecomment-6176996271",
+    "reviewer": "philippeVV",
+    "disclosed_ai_assistance": "substantial Claude assistance",
+    "scope": "Reviewer-reported CPython3.12 full strict and registered replay, metadata check, separate seed67 owner audit; no blocking finding",
+    "same_supplier_predecessor": {
+      "pr": 1407,
+      "kappa": "0.001672680818492982",
+      "overlapping_rows": [
+        2010,
+        34306
+      ],
+      "composition": "not valid as written; needs a new combined assignment and complete replay",
+      "head": "d8640f5b7ae99b43f5d56146cb94ca62b8b3835d",
+      "package": "research/astra-ultra-hosting-20261013",
+      "owners_sha256": "28bc3da38d97d0cc87ec2526c8163943fc3c0929352a06c407ad5d7232962e72",
+      "owners_git_blob": "814d8e8e2d7240d4131748853138c2a80eb10ee0"
+    }
+  }
+}
diff --git a/research/complex-t16-vacancy-chain/README.md b/research/complex-t16-vacancy-chain/README.md
new file mode 100644
index 0000000000..e0f2555878
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/README.md
@@ -0,0 +1,127 @@
+# Four whole-helper placements improve the selected T16 packing
+
+The unchanged PR1094 supplier admits conditional
+**κ = 0.001672664045494084**, up from **0.001672660197076918**
+(**+0.000230077643548%**). Four of 69,120 helper placements change. The local
+word, helper widths, 144-call order, physical stock, native supplier and bit
+supplier stay fixed. Complete strict supplier replay passes.
+
+This improves the selected PR1094 benchmark, but is not the best known packing
+of that supplier. [PR1407](https://github.com/CrocSwap/integer-mult-bounds/pull/1407)
+already reports **κ = 0.001672680818492982** for the same unchanged PR1094
+supplier. This package provides a compact four-row alternative. PR1992 and
+PR2044 report still larger conditional values for the different T74 supplier
+and fine-prime transfer. No global packing optimum, practical speedup, or
+unconditional multiplication theorem is claimed.
+
+## Construction and exact saving
+
+The moves below are packing assignments, not new chronological scalar gates.
+All source and destination slices are suffixes; other placements stay fixed.
+The exact before/after rows are in `MOVES.json`.
+
+Each assignment reserves a disjoint slice of its owner's pending prefix for
+the whole schedule. Prefix coverage is checked over the union of those slices;
+offsets need not increase with call time. For example, calls at times4 and9 use
+offsets40 and44. The unchanged 144-call chronology and strict owner windows,
+not the order of the move list below, govern execution.
+
+| Helper, call (stage, replica), time | Old owner bin and offset | New owner bin and offset |
+|---|---|---|
+| 228, (6,3), 96 | (1,15,86), 25 | (13,15,14), 25 |
+| 226, (1,15), 71 | (11,8,103), 40 | (1,15,86), 25 |
+| 90, (1,0), 4 | (0,0,102), 9 | (11,8,103), 40 |
+| 154, (1,9), 9 | (2,0,22), 9 | (11,8,103), 44 |
+
+First, helper228 fills a seven-slot vacancy. Helper226 fills its vacated slice,
+leaving an eight-slot suffix. Two width-four helpers from distinct calls fill
+that suffix. Their old bins each become seven-slot residuals.
+
+The idle histogram changes from `{1:2276,3:377,7:7,48:4866}` to
+`{1:2275,3:375,7:8,48:4866}`. Thus the whole-profile change is
+`Δ = H7 - 2 H3 - H1`, where `Hr = r^p` and `0 < p < 1`.
+Strict subadditivity gives `7^p = (3+3+1)^p < 2*3^p+1`.
+Rank mass remains 1,041,408 and the deficit remains 5,120. This is an actual
+paid-profile improvement, not a scalar-only saving or a parameter-only backoff.
+
+The final profile is
+`{1:349603,2:60192,3:62583,4:20448,5:11808,7:8,8:1152,48:4866}`.
+The native complex lower endpoint is
+`1675466538131846067921/10^24`; the bit lower endpoint is unchanged.
+
+## Reproduce
+
+Python 3.12+, standard library only, from a complete repository checkout:
+
+```sh
+python3 -I -B research/complex-t16-vacancy-chain/verify.py --work /absolute/fresh/output
+python3 scripts/research_package.py --package research/complex-t16-vacancy-chain --check-only
+```
+
+`--main /path/to/pinned-dependency-checkout` can supply the explicitly hashed
+inputs. `INPUTS.json` declares the full retained dependency subtrees, original
+PR1094 data and archive, and the selected replay archive. The package hook lists
+the same files for CI invalidation. `build.py` reconstructs all four changes and
+the derived data bindings; it compares compressed owner data by its complete
+decoded payload and retains immutable container hashes for source binding.
+
+The verifier preserves all 179 archived predecessor files, overlays only
+`OWNERS.json.gz`, `PLAN.json`, and `SPEC.json`, and executes the unchanged
+`verify_t16.py`. It extracts the actual selected R480 native provider from the
+pinned selected replay archive. The older archive's historical R492
+`evidence/local` is not the selected provider.
+
+## Validation and scope
+
+All eleven strict stages pass: parent restoration, T8 binding, literal T16
+windows, selected binding, controller emission, audit, finite invoice,
+assembly, admission controls, bit controls, and independent owner replay.
+This includes 69 admission controls, 12 bit controls, 15 controller mutations,
+six independent owner controls, two exact moment engines, and 47 strict outer
+inequalities for each native/conservative assembly. The unchanged native
+local receipts are source-bound reuse, not a fresh cold rebuild of all ancestry.
+
+The independent checker also reconstructs all 73-axis owner charts, actual
+bridge-aware windows, whole-helper slices and active-data exclusion. Its
+historical R504 stock upper bound is conservative; the strict controller and
+invoice retain the actual R480 physical stock of 14,826. Prefix397 remains below
+the charged512 reserve, and the physical row coefficient16469 stays below20161.
+
+The all-size compiler, common-label/mutable-source realization, whole-call
+hosting, precision/tape, exact recovery, analytic transfer and PR589 bit H1-H5
+assumptions remain. Finite replay does not establish them. `VALIDATION.json`
+records local evidence; hosted CI and maintainer acceptance are separate.
+
+## Attribution and overlap
+
+Prepared for George Lydakis with substantial OpenAI Codex assistance, including
+coordination with Ody. No independent human review is claimed. New material is
+Apache-2.0. Retained predecessor archives, notices and attribution are unchanged.
+
+Builds directly on Rohan Arun's PR1094 and the PR1087 packing work, Jeremy
+Kothe's owner-packing lineage, Hao Yan / FanPUYen's PR858 T16 controller,
+PR1018 including PR987, PR1005, NewBArch's PR869, and PR799/741/685/645/589.
+The exact arithmetic engines retain their original authors and source notices.
+
+[philippeVV's independent review](https://github.com/CrocSwap/integer-mult-bounds/pull/2077#issuecomment-6176996271)
+reports a full CPython3.12 strict replay, registered replay and metadata-check
+pass, plus a separate seed67 owner audit with eleven rejection controls. The
+review discloses substantial Claude assistance. It identifies the stronger
+same-supplier PR1407 result and overlapping owner rows2010 and34306 and bins;
+the two patches cannot be composed as written. Any combined candidate needs a
+new owner assignment and complete replay.
+
+The changed hypothesis is vacancy propagation through an occupied full bin,
+followed by filling the new eight-slot suffix. Direct relocation and a single
+blocking-role swap miss the first path. This is a bounded witness, not a claim
+that broader packing searches or other suppliers are exhausted. See
+`OVERLAP.json` for the dated search coverage and known higher pending claims.
+
+## Open next questions
+
+Can a vacancy path improve the stronger PR1407 owner map without undoing its
+existing gains? A first step is to freeze that exact map and a bounded path
+grammar, check the overlapping rows and bins, then apply exact family/window
+constraints and the complete invoice. This witness does not establish that
+such a path exists or that either packing is optimal. Larger gains likely
+require a changed local supplier or interface.
diff --git a/research/complex-t16-vacancy-chain/SOURCES.json b/research/complex-t16-vacancy-chain/SOURCES.json
new file mode 100644
index 0000000000..dc56832d7b
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/SOURCES.json
@@ -0,0 +1,1686 @@
+{
+  "schema_version": 1,
+  "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f",
+  "files": [
+    {
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+      "sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6",
+      "usage": "input"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "git_blob": "c05fafaa25ba95b2d5af86b1800427198e3d20eb",
+      "sha256": "89b5928bc92c81e2647b6d702a7ad85a6795b8f44e2eb267b2ff3145d8f2b2ce",
+      "usage": "provenance"
+    },
+    {
+      "path": "certificates/selected-result.json",
+      "git_blob": "ae6a99f28aa468649eb66a361e764d769363bf11",
+      "sha256": "10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32",
+      "usage": "provenance"
+    }
+  ]
+}
diff --git a/research/complex-t16-vacancy-chain/TASK.json b/research/complex-t16-vacancy-chain/TASK.json
new file mode 100644
index 0000000000..b5028d29de
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/TASK.json
@@ -0,0 +1,60 @@
+{
+  "schema_version": 1,
+  "task_id": "selected-packing",
+  "priority_revision": 2,
+  "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f",
+  "original_card": {
+    "id": "selected-packing",
+    "question": "Is there a genuinely unsearched, explicitly bounded improvement to the selected packing?",
+    "starting_points": [
+      "certificates/selected-result.json",
+      "research/heterogeneous-owner-assembly/README.md"
+    ],
+    "methods": [
+      "Search a named unclaimed canonical candidate domain with a reproducible partition.",
+      "Prove a stronger scoped relaxation or exact optimum for one named residual subproblem."
+    ],
+    "acceptance_gate": "Check live PR overlap first, price both suppliers and distinguish a search best from an optimum.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Locate the selected packing source in the review and check live PRs for the same residual problem.",
+      "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "Define an unclaimed canonical domain and a favorable bound before starting a new search.",
+    "bottleneck_link": "An actual paid-profile gain can improve the frontier up to the other supplier cap.",
+    "allowed_variations": [
+      "One bounded residual packing instance or exact relaxation."
+    ],
+    "scope_change_triggers": [
+      "Rerunning an existing search with only a different seed as a separate mathematical contribution."
+    ],
+    "overlap_terms": [
+      "T16",
+      "owner exchange",
+      "packing"
+    ]
+  },
+  "scope_status": "refined",
+  "actual_scope": "Four whole-helper assignments on selected PR1094: a width-seven vacancy path and a two-helper fill replace residuals 1+3+3 by 7.",
+  "scope_change_reason": "The direct-relocation and one-blocker restrictions are replaced by a two-edge vacancy path and one exact suffix fill, preserving the local supplier and 144-call chronology.",
+  "bottleneck_link": "Strictly decreases the complete complex moment while preserving rank mass and all inherited supplier assumptions.",
+  "budget_minutes": 60,
+  "stop_rule": "Retain one four-placement witness; stop after independent ownership, both exact arithmetic engines, complete strict controller/invoice replay and focused packaging.",
+  "outcome": "completed",
+  "evidence": "All eleven strict stages pass, with 102 negative controls and conditional kappa 0.001672664045494084, above selected PR1094 but below the earlier same-supplier PR1407 packing. This is a compact four-row alternative. Independent reviewer-reported CPython3.12 and seed67 audit passes are linked in VALIDATION.json.",
+  "author": "George Lydakis",
+  "ai_assistance": "Substantial OpenAI Codex assistance, including coordination with Ody, source review, search, implementation and validation. No independent human review claimed.",
+  "open_questions": [
+    {
+      "question": "Can a bounded vacancy path improve PR1407 without undoing its existing gains?",
+      "why_it_matters": "PR1407 is a stronger packing of the same supplier, and overlaps this witness at rows and bins.",
+      "first_step": "Freeze the exact PR1407 owner map, inspect overlapping rows2010/34306 and bins, then nominate a bounded path with exact family and window checks.",
+      "blocked_by": "No combined assignment or new positive candidate has been admitted."
+    }
+  ]
+}
diff --git a/research/complex-t16-vacancy-chain/VALIDATION.json b/research/complex-t16-vacancy-chain/VALIDATION.json
new file mode 100644
index 0000000000..bbe9913a97
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/VALIDATION.json
@@ -0,0 +1,49 @@
+{
+  "status": "LOCAL_COMPLETE_STRICT_REPLAY_PASS",
+  "date": "2026-10-14",
+  "python": "CPython 3.14.8",
+  "platform": "macOS arm64",
+  "elapsed_seconds": 13.856018665945157,
+  "input_files_unchanged": 463,
+  "stages": 11,
+  "controls": {
+    "admission": 69,
+    "bit_supplier": 12,
+    "controller": 15,
+    "independent_owner": 6
+  },
+  "exact_moment_engines": 2,
+  "outer_constraints_per_mode": 47,
+  "reused_native_ancestry": true,
+  "cold_ancestry_rebuilt": false,
+  "hosted_ci": "not yet observed",
+  "maintainer_acceptance": "not claimed",
+  "preparation_failures": [
+    "Initial local-provider selection used historical R492 evidence/local; bind8 rejected at the width-spot gate. Corrected to the immutable selected R480 provider without changing the verifier.",
+    "An extraction preflight incorrectly expected 11 local leaves; corrected to the exact 10-name inventory before launching the successful replay."
+  ],
+  "environment_note": "The first successful local harness used a temporary HOME and sanitized child environment; its exact receipt is retained locally. The published wrapper omits a HOME override. Parent -E/-S flags are not represented as child flags.",
+  "publication_wrapper_replay": {
+    "status": "PASS_FOUR_HELPER_VACANCY_CHAIN",
+    "stages": 11,
+    "stage_seconds_sum": 13.674,
+    "home_override": false,
+    "cold_ancestry_rebuilt": false
+  },
+  "optimized_mode_controls": "build.py and verify.py reject -O before reading data or launching a verifier",
+  "external_review_report": {
+    "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/2077#issuecomment-6176996271",
+    "reviewer": "philippeVV",
+    "disclosed_ai_assistance": "substantial Claude assistance",
+    "scope": "Reviewer-reported CPython3.12 full strict and registered replay, metadata check, separate seed67 owner audit; no blocking finding",
+    "same_supplier_predecessor": {
+      "pr": 1407,
+      "kappa": "0.001672680818492982",
+      "overlapping_rows": [
+        2010,
+        34306
+      ],
+      "composition": "not valid as written; needs a new combined assignment and complete replay"
+    }
+  }
+}
diff --git a/research/complex-t16-vacancy-chain/VERIFY.json b/research/complex-t16-vacancy-chain/VERIFY.json
new file mode 100644
index 0000000000..02fa6d3206
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/VERIFY.json
@@ -0,0 +1,298 @@
+{
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+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
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+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/code/port_frames.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/code/run_portable.py",
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+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/docs/SEARCH-RECORD.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/docs/TWO-SOURCE-PROOF.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/inputs/PR534-WORD.json.gz",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/inputs/phase-baseline/CANONICAL-WORD.json.gz",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/inputs/phase-baseline/CLIFFORD-RECIPES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/inputs/phase-baseline/CLIFFORD-REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/run_local.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/LICENSE",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/META-SOURCES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/NOTICE-upstream.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/PROOF.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/README.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/RECIPE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/SOURCE-MANIFEST.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/audit_scalar.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/build.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/gk/gk_common.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/gk/gk_word.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/inputs/BASE535.json.gz",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/inputs/OLD-RECIPE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/inputs/RAW504.json.gz",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-local/static44/replay.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/DAG-STRUCTURES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/ELIMINATION-AVALANCHE-INDEPENDENT-REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/ELIMINATION-CODIM2.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/ELIMINATION-ELIMINATION-AND-PATH-TRANSFER.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/ELIMINATION-SCREEN-REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/ELIMINATION-SOURCES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/FRAME-SOURCES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/FRAME-TRANSFERS.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/PR-LINEAGE.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/docs/PUBLIC-PINS.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/engines/base_two_moment.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/engines/moment.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/engines/outer.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/evidence/COMPLEX-INVOICE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/evidence/EXACT-ASSEMBLY.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/evidence/FINAL-RESOURCE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/evidence/WAVE-REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/inputs/PR543-EXPECTED.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/inputs/WAVES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/COSET-PATH-APPLICATION.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/COSET-PATH-REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/COSET-SOURCE-BINDING.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/audit_coset_paths.cpp",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/coset-path-input.txt",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/optional-audit/export_coset_paths.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/CROSS-FIELD-PROOFS.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/README.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/SOURCE-MANIFEST.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/SOURCES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/WEIGHTED-COSET-SELECTION.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/response/build_weighted_coset.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/verify.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/verify.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/EXPECTED.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/EXPECTED558.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/LICENSE",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/MANIFEST.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/NOTICE.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/PROOF-REVIEW-STATUS.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/PROOF.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/README.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/REVIEW.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/SOURCES.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/engines/base_two_moment.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/engines/moment.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/engines/outer.py",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR552-INDEPENDENT-REPLAY.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR552-PUBLISHED-INVOICE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR552-packaged311.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR552-packaged314.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR552-regression-final.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR558-COMPILER-LINEAGE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR558-INDEPENDENT-RECEIPT.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR558-INDEPENDENT-REPLAY.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR558-packaged311.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/evidence/PR558-packaged314.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR543-EXPECTED.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR552-EXACT-ASSEMBLY.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR552-EXPECTED.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR552-INVOICE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR552-OWNERS.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR558-BASELINE-ASSEMBLY.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR558-EXPECTED.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR558-INVOICE.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR558-OWNERS.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/PR558-RESULT.json",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/inputs/UPSTREAM-LINEAGE.md",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/notes/general-clifford-frames.tex",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/notes/three-stage-cover-assembly.tex",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/notes/three-stage-cover-bit.tex",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/notes/three-stage-cover-complex.tex",
+    "research/complex-k492-owner-repair/vendor/multicold/vendor/pr559/verify.py",
+    "research/complex-k492-owner-repair/vendor/multicold/verify.py",
+    "research/complex-t16-rare-pattern-exchanges/upstream1087.tar.gz",
+    "research/complex-t16-rare-pattern-exchanges/data/OWNERS.json.gz",
+    "research/complex-t16-rare-pattern-exchanges/data/PLAN.json",
+    "research/complex-t16-rare-pattern-exchanges/data/SPEC.json",
+    "research/community-frontier1094-audit/selected-replay.tar.gz"
+  ],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 300,
+      "checks": "Four exact owner placements and data reconstruction; unchanged full T16 strict supplier replay, all 102 rejecting controls, both exact moment engines and strict outer assembly; source-bound native ancestry reuse."
+    }
+  ]
+}
diff --git a/research/complex-t16-vacancy-chain/build.py b/research/complex-t16-vacancy-chain/build.py
new file mode 100644
index 0000000000..435bdd993f
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/build.py
@@ -0,0 +1,96 @@
+"""Reproduce the four whole-helper placements without running a packing search."""
+from collections import Counter, defaultdict
+from pathlib import Path
+import gzip
+import hashlib
+import json
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled')
+
+P = Path(__file__).resolve().parent
+BASE = 'research/complex-t16-rare-pattern-exchanges'
+
+
+def canonical(x):
+    return json.dumps(x, sort_keys=True, separators=(',', ':')).encode()
+
+
+def digest(b):
+    return hashlib.sha256(b).hexdigest()
+
+
+def derive(main):
+    baseline = main/BASE
+    old = json.loads(gzip.decompress((baseline/'data/OWNERS.json.gz').read_bytes()))
+    plan = json.loads((baseline/'data/PLAN.json').read_text())
+    spec = json.loads((baseline/'data/SPEC.json').read_text())
+    rows = [r.copy() for r in old]
+    moves = json.loads((P/'MOVES.json').read_text())
+    assert len(moves) == 4
+    for move in moves:
+        i = move['index']
+        assert rows[i] == move['before']
+        after = move['after']
+        assert all(rows[i][k] == after[k] for k in ('stage','replica','time','helper','width'))
+        rows[i] = after.copy()
+    assert [i for i,(a,b) in enumerate(zip(old,rows)) if a!=b] == [2010,4474,34306,46308]
+
+    def idle(roles):
+        bins = defaultdict(set)
+        families = defaultdict(set)
+        for r in roles:
+            call = (r['stage'],r['replica'])
+            assert r['family'] not in families[call]
+            families[call].add(r['family'])
+            assert r['copy'] == 112*r['owner_replica']+r['port']
+            cap,window = plan['windows'][f"{r['owner_replica']},{r['child']}"]
+            assert r['time'] in window and r['offset']>=0 and r['offset']+r['width']<=cap
+            key = (r['owner_replica'],r['child'],r['port'])
+            cells = set(range(r['offset'],r['offset']+r['width']))
+            assert not bins[key]&cells
+            bins[key].update(cells)
+        result = Counter()
+        for key,(cap,_) in plan['windows'].items():
+            owner,child = map(int,key.split(','))
+            for port in range(112):
+                used=bins[owner,child,port]
+                assert used==set(range(len(used)))
+                if len(used)<cap:result[cap-len(used)]+=1
+        return result
+
+    before,after = idle(old),idle(rows)
+    assert before == Counter({1:2276,3:377,7:7,48:4866})
+    assert after == Counter({1:2275,3:375,7:8,48:4866})
+    profile = Counter({int(k):v for k,v in plan['profile'].items()})
+    profile.subtract(before); profile.update(after)
+    assert all(v>0 for v in profile.values())
+    assert sum(r*n for r,n in profile.items()) == 1041408
+    # Container bytes are immutable inputs. Regeneration checks the full payload,
+    # then binds PLAN/SPEC to this committed container, independent of zlib version.
+    container = (P/'data/OWNERS.json.gz').read_bytes()
+    assert json.loads(gzip.decompress(container)) == rows
+    profile = {str(k):v for k,v in sorted(profile.items())}
+    plan.update(profile=profile,assignment_sha256=digest(container),assignment_content_sha256=digest(canonical(rows)))
+    plan['replica_lift']['owners_file_sha256'] = digest(container)
+    plan_bytes = (json.dumps(plan,indent=2)+'\n').encode()
+    target = json.loads((P/'CANDIDATE.json').read_text())
+    spec['data'] = dict(owners_sha256=digest(container),plan_sha256=digest(plan_bytes))
+    spec['expected'].update(target['expected_updates'])
+    assert spec['expected']['global_profile'] == profile
+    assert spec['expected']['idle_remainder_profile'] == {str(k):v for k,v in sorted(after.items())}
+    assert spec['expected']['cross_replica_helper_roles'] == sum(r['replica']!=r['owner_replica'] for r in rows)
+    return container,plan_bytes,(json.dumps(spec,indent=2)+'\n').encode()
+
+
+if __name__ == '__main__':
+    import argparse
+    ap=argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--main',type=Path,default=P.parents[1])
+    ap.add_argument('--out',type=Path,required=True)
+    args=ap.parse_args()
+    blobs=derive(args.main.resolve())
+    args.out.mkdir(parents=True,exist_ok=False)
+    for name,blob in zip(('OWNERS.json.gz','PLAN.json','SPEC.json'),blobs):
+        (args.out/name).write_bytes(blob)
+    print('PASS_FOUR_HELPER_DATA_RECONSTRUCTION')
diff --git a/research/complex-t16-vacancy-chain/data/OWNERS.json.gz b/research/complex-t16-vacancy-chain/data/OWNERS.json.gz
new file mode 100644
index 0000000000..4b7231da22
Binary files /dev/null and b/research/complex-t16-vacancy-chain/data/OWNERS.json.gz differ
diff --git a/research/complex-t16-vacancy-chain/data/PLAN.json b/research/complex-t16-vacancy-chain/data/PLAN.json
new file mode 100644
index 0000000000..5cfb34b152
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/data/PLAN.json
@@ -0,0 +1,85660 @@
+{
+  "status": "FROZEN_EXPLICIT_T16_TWO_BANK_DIRECT_SUM_OWNER_NOMINATION",
+  "mode": "gauge44-all144-t16-idle-concentration",
+  "K": 4,
+  "T": 16,
+  "M": 73,
+  "L": 9,
+  "live": 14336,
+  "deficit": 5120,
+  "profile": {
+    "1": 349603,
+    "2": 60192,
+    "3": 62583,
+    "4": 20448,
+    "5": 11808,
+    "7": 8,
+    "8": 1152,
+    "48": 4866
+  },
+  "order": [
+    [
+      0,
+      0
+    ],
+    [
+      0,
+      8
+    ],
+    [
+      0,
+      1
+    ],
+    [
+      0,
+      9
+    ],
+    [
+      1,
+      0
+    ],
+    [
+      1,
+      8
+    ],
+    [
+      0,
+      2
+    ],
+    [
+      0,
+      10
+    ],
+    [
+      1,
+      1
+    ],
+    [
+      1,
+      9
+    ],
+    [
+      2,
+      0
+    ],
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diff --git a/research/complex-t16-vacancy-chain/data/SPEC.json b/research/complex-t16-vacancy-chain/data/SPEC.json
new file mode 100644
index 0000000000..d18c5a1925
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/data/SPEC.json
@@ -0,0 +1,1972 @@
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+        },
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+          "LOCAL-PROGRAMS.json.gz": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3",
+          "LOCAL-CHECKS.json": "18f09b79835aa352f04d27041d86d1338c5ad0094b888588c1c05af2dc399ffd",
+          "INDEPENDENT-LOCAL-REPLAY.json": "2d4680965c62db1fde1236c4857b19bf7bc97af58805e6b4109afbc452f0fdd8",
+          "CLIFFORD-RECIPES.json": "d0768f2164d5f64a2fdbec422f1cfde4e400818792f1904ca541958377243731",
+          "CLIFFORD-REVIEW.json": "4960fd1215509b5347ef7f0092868f79aea0f8e24fb84352da9a1033e4394007",
+          "RESIDUAL-ADAPTERS.json": "c682e9ff1b347f89771c6800f46ad98c2bb92b91c5c88452d53a9e7f0180c35f"
+        }
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+      "wrappers": 240
+    }
+  },
+  "expected": {
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+    "complex_lower": "1675466538131846067921/1000000000000000000000000",
+    "conservative_complex_lower": "1675466535270375507923/1000000000000000000000000",
+    "kappa": "418166011373521/250000000000000000",
+    "assembly_controls_rejected": 69,
+    "provider_counts": {
+      "gauge44": 144
+    },
+    "mutations_rejected": 15,
+    "hosted_residuals": 69120,
+    "rank_mass": 1041408,
+    "actual_73column_sigmas": 10002,
+    "cross_replica_helper_roles": 57481,
+    "idle_remainders": 7524,
+    "idle_remainder_profile": {
+      "1": 2275,
+      "3": 375,
+      "7": 8,
+      "48": 4866
+    },
+    "global_profile": {
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+      "2": 60192,
+      "3": 62583,
+      "4": 20448,
+      "5": 11808,
+      "7": 8,
+      "8": 1152,
+      "48": 4866
+    },
+    "live": 14336,
+    "physical": 14826,
+    "conservative_kappa_decimal": "0.001672664042642178",
+    "kappa_decimal": "0.001672664045494084"
+  },
+  "pivot_swap": {
+    "recipe": "construction/leaver/PIVOT-SWAP-k8.json",
+    "sha256": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb"
+  }
+}
diff --git a/research/complex-t16-vacancy-chain/evidence/ADMISSION-CONTROLS.json b/research/complex-t16-vacancy-chain/evidence/ADMISSION-CONTROLS.json
new file mode 100644
index 0000000000..97a42e9086
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/evidence/ADMISSION-CONTROLS.json
@@ -0,0 +1,102 @@
+{
+  "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS",
+  "valid_receipt_kappa": "418166011373521/250000000000000000",
+  "input_sha256": {
+    "owner_audit": "45b5e6d4cb73345a7bc92e946e13bfe99f9c313b6309460c88584dcef4ba4afe",
+    "fresh_invoice": "fa6541e3f4d4e2f3d01dfacf3ac0e237b94f4d3680644ea79262723c57c8d2d7",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "assembler_sha256": "15f6986a476bac76bcdc0bfcf51da115389b46f1950d2766b6822f757888b13a",
+  "rejected_controls": [
+    "empty_certification_maps",
+    "failed_invoice_status",
+    "nonboolean_precision_check",
+    "wrong_owner_role_count",
+    "understated_physical_stock",
+    "changed_profile_same_rank_mass",
+    "insufficient_finite_C0",
+    "missing_finite_check",
+    "wrong_reflected_orientation_selfconsistent_totals",
+    "missing_selected_call",
+    "wrong_selected_primitive_sum",
+    "wrong_selected_coefficient_work_sum",
+    "unpaid_wrapper_factors",
+    "wrong_global_compiler",
+    "wrong_global_adapter_maximum",
+    "understated_exact_prefix_and_global_sum",
+    "wrong_global_prefix_sum",
+    "wrong_row_prefix_reserve",
+    "wrong_parent_geometry_charge",
+    "wrong_rebased_geometry_charge",
+    "wrong_complete_pervertex_envelope",
+    "wrong_prior_added_complete_invoice",
+    "wrong_finite_router_bits",
+    "wrong_finite_literal_bits",
+    "wrong_finite_physical_stock_bits",
+    "wrong_finite_row_coefficient",
+    "reordered_complete_calls",
+    "understated_explicit_idle_remainders",
+    "understated_actual_chart_types",
+    "wrong_cross_replica_role_count",
+    "old_no_cold_wrapper_counts_selfconsistent",
+    "gauge44:missing_provider",
+    "gauge44:missing_backward_orientation",
+    "gauge44:unpaid_scalar_primitive",
+    "gauge44:wrong_local_artifact_binding",
+    "gauge44:false_dirty_restoration",
+    "gauge44:wrong_declared_provider_count",
+    "gauge44:wrong_local_compiler",
+    "gauge44:wrong_local_adapter_charge",
+    "gauge44:wrong_local_primitive_bound",
+    "gauge44:forged_provider_and_call_program_hash",
+    "gauge44:provider_at_wrong_call",
+    "gauge44:synchronized_forged_source_recipe_hash",
+    "gauge44:synchronized_forged_phase_review_semantics",
+    "gauge44:width_order_swap_4_5",
+    "gauge44:width_inventory_shift_4_5",
+    "gauge44:width_order_swap_4_7",
+    "gauge44:width_inventory_shift_4_7",
+    "gauge44:width_order_swap_4_8",
+    "gauge44:width_inventory_shift_4_8",
+    "gauge44:width_order_swap_4_9",
+    "gauge44:width_inventory_shift_4_9",
+    "gauge44:width_order_swap_5_7",
+    "gauge44:width_inventory_shift_5_7",
+    "gauge44:width_order_swap_5_8",
+    "gauge44:width_inventory_shift_5_8",
+    "gauge44:width_order_swap_5_9",
+    "gauge44:width_inventory_shift_5_9",
+    "gauge44:width_order_swap_7_8",
+    "gauge44:width_inventory_shift_7_8",
+    "gauge44:width_order_swap_7_9",
+    "gauge44:width_inventory_shift_7_9",
+    "gauge44:width_order_swap_8_9",
+    "gauge44:width_inventory_shift_8_9",
+    "gauge44:cold_helper_width_swap_258",
+    "gauge44:cold_helper_width_swap_270",
+    "gauge44:cold_helper_width_swap_282",
+    "gauge44:cold_helper_width_swap_294",
+    "wrong_owner_receipt_hash"
+  ],
+  "discovery_accepted_controls": [],
+  "exact_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "conservative_outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "recurrence_model_controls": [
+    "native_complex_endpoint_rejected_with_old_surcharge",
+    "omitting_bit_surcharge_would_fail_next_endpoint_rejection"
+  ],
+  "scope": "Complete receipt schema; ordered widths and both reflected providers; exact program, work and paid-profile binding; independently recounted compiler, conservative envelope and finite inequalities. Does not replace fresh physical replay."
+}
diff --git a/research/complex-t16-vacancy-chain/evidence/ASSEMBLY.json b/research/complex-t16-vacancy-chain/evidence/ASSEMBLY.json
new file mode 100644
index 0000000000..85c441abdd
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/evidence/ASSEMBLY.json
@@ -0,0 +1,345 @@
+{
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+    "row_product_gap": "23971789/25",
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+    "Gaussian_arithmetic_above_kappa": "389011586612604198436287048583905988344047274661380951499697495575878623851983169601242303311703647920563923398264429580322664320100804800945896784453571024777468538483908082052272399380102472715708212322008588483994047130282046933392558612106605179965758341211347785893641148709589912435910120531789013294970893981353912937234322398146757429140909600778594875754605306565510938779353413879452203069716607062189439/801340373230505476854288256188555887835035465676087414889663212831107118948589089518662390923429606308741401180258562311510468884084787477176773008600343032217908483949634766752476274499878177646240606879845096812186150498987856365396720138587291854053938158413341693903921106960316740241624990530601307955741634647632721067496723072069453276846318214820072930973976728345677030918835400078094475518623056897600000000000000000000000",
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+    "dimension_above_kappa": "124790566682733519302300348634653371822996033880934170515908431051162481266522298765113164432891079087606539264912408242587093355868028088241771250866174112768775239997979161443654281277630058269962658249676396613653607925531255003403567907506065147929507629163023453612382190306621883436027320020262571043457990140589902164576819257469705379818542401371656959621129828340906579278336213316073699892011668945933945606056844719/125209433317266480758482540029461857474224291511888658576509877004860487335717045237290998581785875985740843934415400361173510763138248043308870782593803598784048200617130432305074417890605965257225094824975796376904086015466852557093237521654264352195927837252084639672487672962549490662753904770406454368084630413692612666796362980010852074507237221065636395464683863804012036081068031262202261799784852640250000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification."
+}
diff --git a/research/complex-t16-vacancy-chain/evidence/BIT-SUPPLIER-CONTROLS.json b/research/complex-t16-vacancy-chain/evidence/BIT-SUPPLIER-CONTROLS.json
new file mode 100644
index 0000000000..796ac4e71d
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/evidence/BIT-SUPPLIER-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS",
+  "kappa": "0.001672664045494084",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "bit_supplier": {
+    "pr": 589,
+    "repository": "CrocSwap/integer-mult-bounds",
+    "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90",
+    "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json",
+    "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13",
+    "word": {
+      "v": 111,
+      "decoder_constant": 63,
+      "copy_ranks": [
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7,
+        7
+      ]
+    },
+    "derived_deficit": 10272,
+    "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64",
+    "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit."
+  },
+  "derived_deficit": 10272,
+  "rejected_controls": [
+    "revert_hardcoded_9984",
+    "ports_112",
+    "decoder_constant_64_copy_ranks_unchanged",
+    "decoder_constant_64_with_one_copy_rank_8",
+    "eight_retained_totals",
+    "live_minus_one",
+    "profile_rank_mass_plus_one",
+    "profile_rank_mass_receipt_mismatch",
+    "bit_lower_next_grid",
+    "not_nine_stage_record",
+    "tampered_bytes_next_grid",
+    "pr543_file_under_pr589_pin"
+  ],
+  "assembler_sha256": "15f6986a476bac76bcdc0bfcf51da115389b46f1950d2766b6822f757888b13a"
+}
diff --git a/research/complex-t16-vacancy-chain/evidence/REPLAY.json b/research/complex-t16-vacancy-chain/evidence/REPLAY.json
new file mode 100644
index 0000000000..4c29e4816b
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/evidence/REPLAY.json
@@ -0,0 +1,108 @@
+{
+  "status": "PASS_GAUGE44_T16_STRICT_GLOBAL_REPLAY",
+  "kappa": "418166011373521/250000000000000000",
+  "kappa_decimal": "0.001672664045494084",
+  "conservative_kappa_decimal": "0.001672664042642178",
+  "complex_lower": "1675466538131846067921/1000000000000000000000000",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "complex_profile": {
+    "1": 349603,
+    "2": 60192,
+    "3": 62583,
+    "4": 20448,
+    "5": 11808,
+    "7": 8,
+    "8": 1152,
+    "48": 4866
+  },
+  "idle_remainder_profile": {
+    "1": 2275,
+    "3": 375,
+    "7": 8,
+    "48": 4866
+  },
+  "complete_invocations": 144,
+  "roles": 69120,
+  "prefix_bits": 397,
+  "charged_prefix_bits": 512,
+  "physical_row_coefficient": 16469,
+  "retained_row_coefficient": 20161,
+  "actual_73_axis_charts": 10002,
+  "controls": {
+    "admission": 69,
+    "bit_supplier": 12,
+    "independent_t16": 6,
+    "controller_mutations": 15
+  },
+  "t8_kappa": "167166528321877/100000000000000000",
+  "spec_sha256": "e3868a1fe9740fb4f8557aeaaa4dc00a204078ef183605221b7e21eaf6bc551c",
+  "stages": [
+    {
+      "name": "restore-parent",
+      "seconds": 0.539,
+      "exit_code": 0,
+      "log_sha256": "fc3a01967636bd3173ee7e5049fae45b890e1fad4564b6acdd6aaca30a4e4ea5"
+    },
+    {
+      "name": "bind8",
+      "seconds": 0.129,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "lift16",
+      "seconds": 1.153,
+      "exit_code": 0,
+      "log_sha256": "53f3a24d7b28f83583157ea79b6ee0fca9e1cd78eb81f7da78dd2a35115deaa6"
+    },
+    {
+      "name": "bind",
+      "seconds": 0.135,
+      "exit_code": 0,
+      "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+    },
+    {
+      "name": "emit",
+      "seconds": 2.659,
+      "exit_code": 0,
+      "log_sha256": "27de60d4e2927194ba2cd2577ca9473b944fa7fde9667cdb5a5589197c082435"
+    },
+    {
+      "name": "audit",
+      "seconds": 7.369,
+      "exit_code": 0,
+      "log_sha256": "0da2adfe3652792cbb9a71d578a2270e9a1a7e4f25ebc8ef9cc171b3c36bc2e5"
+    },
+    {
+      "name": "invoice",
+      "seconds": 0.441,
+      "exit_code": 0,
+      "log_sha256": "8f7074e3f78a103318ded6362c8e9bc8fc0e8c1ea3b510e63b9b84b181452cb3"
+    },
+    {
+      "name": "assembly",
+      "seconds": 0.186,
+      "exit_code": 0,
+      "log_sha256": "4747947514e5c679524bccce1e74694125726cf2f1bd7c24a96bfdbcd6a0c66d"
+    },
+    {
+      "name": "admission-controls",
+      "seconds": 0.227,
+      "exit_code": 0,
+      "log_sha256": "051d242318154827c1672ffbb63ad2bdc8ecc4033be650b791dd69cd57d716b3"
+    },
+    {
+      "name": "bit-supplier-controls",
+      "seconds": 0.368,
+      "exit_code": 0,
+      "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67"
+    },
+    {
+      "name": "independent-t16",
+      "seconds": 0.477,
+      "exit_code": 0,
+      "log_sha256": "9a822ed55b91969189acb1bb1bbdcebafc800855952fbd5e91c5d977c29cbbf9"
+    }
+  ],
+  "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification."
+}
diff --git a/research/complex-t16-vacancy-chain/evidence/STAGES.json b/research/complex-t16-vacancy-chain/evidence/STAGES.json
new file mode 100644
index 0000000000..57b9919145
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/evidence/STAGES.json
@@ -0,0 +1,68 @@
+[
+  {
+    "name": "restore-parent",
+    "seconds": 0.539,
+    "exit_code": 0,
+    "log_sha256": "fc3a01967636bd3173ee7e5049fae45b890e1fad4564b6acdd6aaca30a4e4ea5"
+  },
+  {
+    "name": "bind8",
+    "seconds": 0.129,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "lift16",
+    "seconds": 1.153,
+    "exit_code": 0,
+    "log_sha256": "53f3a24d7b28f83583157ea79b6ee0fca9e1cd78eb81f7da78dd2a35115deaa6"
+  },
+  {
+    "name": "bind",
+    "seconds": 0.135,
+    "exit_code": 0,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "seconds": 2.659,
+    "exit_code": 0,
+    "log_sha256": "27de60d4e2927194ba2cd2577ca9473b944fa7fde9667cdb5a5589197c082435"
+  },
+  {
+    "name": "audit",
+    "seconds": 7.369,
+    "exit_code": 0,
+    "log_sha256": "0da2adfe3652792cbb9a71d578a2270e9a1a7e4f25ebc8ef9cc171b3c36bc2e5"
+  },
+  {
+    "name": "invoice",
+    "seconds": 0.441,
+    "exit_code": 0,
+    "log_sha256": "8f7074e3f78a103318ded6362c8e9bc8fc0e8c1ea3b510e63b9b84b181452cb3"
+  },
+  {
+    "name": "assembly",
+    "seconds": 0.186,
+    "exit_code": 0,
+    "log_sha256": "4747947514e5c679524bccce1e74694125726cf2f1bd7c24a96bfdbcd6a0c66d"
+  },
+  {
+    "name": "admission-controls",
+    "seconds": 0.227,
+    "exit_code": 0,
+    "log_sha256": "051d242318154827c1672ffbb63ad2bdc8ecc4033be650b791dd69cd57d716b3"
+  },
+  {
+    "name": "bit-supplier-controls",
+    "seconds": 0.368,
+    "exit_code": 0,
+    "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67"
+  },
+  {
+    "name": "independent-t16",
+    "seconds": 0.477,
+    "exit_code": 0,
+    "log_sha256": "9a822ed55b91969189acb1bb1bbdcebafc800855952fbd5e91c5d977c29cbbf9"
+  }
+]
diff --git a/research/complex-t16-vacancy-chain/verify.py b/research/complex-t16-vacancy-chain/verify.py
new file mode 100644
index 0000000000..16719ae096
--- /dev/null
+++ b/research/complex-t16-vacancy-chain/verify.py
@@ -0,0 +1,75 @@
+"""Reconstruct four placements, then run the unchanged strict T16 admission."""
+from pathlib import Path
+import argparse
+import hashlib
+import importlib.util
+import json
+import os
+import shutil
+import subprocess
+import sys
+import tarfile
+import tempfile
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled')
+P=Path(__file__).resolve().parent
+sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest()
+
+
+def run(main,work):
+    pins=json.loads((P/'INPUTS.json').read_text())
+    for name,h in pins.items():assert sha(main/name)==h,'Changed dependency: '+name
+    package_pins=json.loads((P/'MANIFEST.json').read_text())
+    actual={str(f.relative_to(P)):sha(f) for f in P.rglob('*') if f.is_file() and f!=P/'MANIFEST.json' and '__pycache__' not in f.parts}
+    assert actual==package_pins,'Package inventory mismatch'
+    modspec=importlib.util.spec_from_file_location('vacancy_build',P/'build.py')
+    mod=importlib.util.module_from_spec(modspec);modspec.loader.exec_module(mod)
+    blobs=mod.derive(main)
+    for name,b in zip(('OWNERS.json.gz','PLAN.json','SPEC.json'),blobs):
+        assert b==(P/'data'/name).read_bytes(),'Reconstruction mismatch: '+name
+    source=work/'source';source.mkdir(parents=True)
+    archive=main/'research/complex-t16-rare-pattern-exchanges/upstream1087.tar.gz'
+    with tarfile.open(archive) as t:
+        for m in t.getmembers():
+            assert m.isfile() and (source/m.name).resolve().is_relative_to(source.resolve())
+        t.extractall(source,filter='data')
+    original=json.loads((source/'MANIFEST.json').read_text())
+    assert {str(f.relative_to(source)):sha(f) for f in source.rglob('*') if f.is_file() and f!=source/'MANIFEST.json'}==original
+    for name in ('OWNERS.json.gz','PLAN.json','SPEC.json'):
+        shutil.copyfile(P/'data'/name,source/'data'/name)
+    local=work/'local';local.mkdir()
+    local_pins=json.loads((P/'LOCAL-PINS.json').read_text())
+    with tarfile.open(main/'research/community-frontier1094-audit/selected-replay.tar.gz') as t:
+        prefix='candidate/strict/global/base/providers/gauge44/'
+        for name,h in local_pins.items():
+            member=t.getmember(prefix+name);assert member.isfile()
+            b=t.extractfile(member).read();assert hashlib.sha256(b).hexdigest()==h
+            (local/name).write_bytes(b)
+    # No discovery, source reconstruction, optimizer, credential environment,
+    # or native cold rebuild. The full controller and invoice are regenerated.
+    env={k:os.environ[k] for k in ('PATH','SYSTEMROOT','WINDIR','TMPDIR','TEMP','TMP') if k in os.environ}
+    env.update(PYTHONNOUSERSITE='1',PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0')
+    subprocess.run([sys.executable,'-E','-S','-B',str(source/'verify_t16.py'),
+                    '--main',str(main),'--local',str(local),'--work',str(work/'strict')],env=env,check=True)
+    result=json.loads((work/'strict/REPLAY.json').read_text())
+    target=json.loads((P/'CANDIDATE.json').read_text())
+    assert result['status']=='PASS_GAUGE44_T16_STRICT_GLOBAL_REPLAY'
+    assert result['kappa']==target['expected_updates']['kappa']
+    assert result['complex_profile']==target['expected_updates']['global_profile']
+    assert result['controls']==dict(admission=69,bit_supplier=12,independent_t16=6,controller_mutations=15)
+    for name,h in pins.items():assert sha(main/name)==h
+    print('PASS_FOUR_HELPER_VACANCY_CHAIN',result['kappa_decimal'])
+
+
+if __name__=='__main__':
+    ap=argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--main',type=Path,default=P.parents[1])
+    ap.add_argument('--work',type=Path)
+    args=ap.parse_args()
+    if args.work:
+        args.work.mkdir(parents=True,exist_ok=False)
+        run(args.main.resolve(),args.work.resolve())
+    else:
+        with tempfile.TemporaryDirectory(prefix='four-helper-vacancy-') as d:
+            run(args.main.resolve(),Path(d))