diff --git a/.github/workflows/mixed-demotions-t37.yml b/.github/workflows/mixed-demotions-t37.yml
new file mode 100644
index 0000000000..396a7b0448
--- /dev/null
+++ b/.github/workflows/mixed-demotions-t37.yml
@@ -0,0 +1,52 @@
+name: Mixed joint entrances T37
+on:
+  workflow_dispatch:
+  pull_request:
+    paths:
+      - 'research/mixed-demotions-t37/**'
+      - '.github/workflows/mixed-demotions-t37.yml'
+  push:
+    branches: [main]
+    paths:
+      - 'research/mixed-demotions-t37/**'
+      - '.github/workflows/mixed-demotions-t37.yml'
+permissions:
+  contents: read
+jobs:
+  verify:
+    runs-on: ubuntu-24.04
+    timeout-minutes: 120
+    env:
+      OPENBLAS_NUM_THREADS: '1'
+      OMP_NUM_THREADS: '1'
+      CXX: g++
+      BOOST_INCLUDE: /usr/include
+    steps:
+      - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1
+        with:
+          persist-credentials: false
+      - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97
+        with:
+          python-version: '3.12'
+      - name: Install inherited replay dependencies
+        run: |
+          sudo apt-get update
+          sudo apt-get install -y --no-install-recommends g++ libboost-dev
+          python -m pip install -r research/e8-bit-p111-tuned/requirements.txt
+      - name: Fresh mixed providers, literal owners, strict invoice and cold ancestry
+        run: python -B research/mixed-demotions-t37/verify.py --work "$RUNNER_TEMP/mixed-t37"
+      - name: Require committed sources unchanged
+        if: always()
+        run: git diff --exit-code
+      - uses: actions/upload-artifact@v4
+        if: always()
+        with:
+          name: mixed-t37-evidence
+          path: |
+            ${{ runner.temp }}/mixed-t37/*.json
+            ${{ runner.temp }}/mixed-t37/*.log
+            ${{ runner.temp }}/mixed-t37/t37/**/*.json
+            ${{ runner.temp }}/mixed-t37/t37/**/*.log
+            ${{ runner.temp }}/mixed-t37/demote*/**/*.json
+            ${{ runner.temp }}/mixed-t37/demote*/*.log
+          retention-days: 14
diff --git a/research/mixed-demotions-t37/CLAIM.json b/research/mixed-demotions-t37/CLAIM.json
new file mode 100644
index 0000000000..b67172862c
--- /dev/null
+++ b/research/mixed-demotions-t37/CLAIM.json
@@ -0,0 +1 @@
+{"T":37,"bit_lower":"1733427039589844234749/1000000000000000000000000","calls":333,"charged_prefix_bits":1024,"comparison":{"independently_replayed_pr1050":"0.001672241870811633","joint_entrances_t37":"0.001675568675201533","selected_pr1042":"0.001672188119205421","selected_pr942":"0.001661960547713947","seven_slot_t37_predecessor":"0.001674097969905390","uniform_three_demotions_t37":"0.001675129371412064"},"complex_lower":"167848528779417184507/100000000000000000000000","complex_profile":{"1":785550,"2":167498,"3":138028,"4":42458,"48":11374,"5":27306,"8":2664},"deficit":11840,"idle":{"1":2,"48":11374},"kappa":"1675672695827067/1000000000000000000","kappa_decimal":"0.001675672695827067","live":33152,"physical":33642,"physical_row_coefficient":17495,"prefix_bits":775,"provider_calls":{"demote3":125,"demote4":208},"rank_mass":2408256,"roles":159840,"scope":"Finite conditional construction under the retained compiler, whole-call hosting, common-label/mutable-source realization, precision/tape, analytic-transfer and bitH1-H5 hypotheses. No unconditional theorem or kappa=1 claim.","status":"UNADMITTED_TARGET_ONLY"}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/DEPENDENCY-PINS.json b/research/mixed-demotions-t37/DEPENDENCY-PINS.json
new file mode 100644
index 0000000000..515f2998da
--- /dev/null
+++ b/research/mixed-demotions-t37/DEPENDENCY-PINS.json
@@ -0,0 +1,1904 @@
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diff --git a/research/mixed-demotions-t37/MANIFEST.json b/research/mixed-demotions-t37/MANIFEST.json
new file mode 100644
index 0000000000..20082f0ea3
--- /dev/null
+++ b/research/mixed-demotions-t37/MANIFEST.json
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diff --git a/research/mixed-demotions-t37/NOTICE.md b/research/mixed-demotions-t37/NOTICE.md
new file mode 100644
index 0000000000..8ead68d658
--- /dev/null
+++ b/research/mixed-demotions-t37/NOTICE.md
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+SPDX-License-Identifier: Apache-2.0
+Prepared for Jeremy Diviney with substantial OpenAI Codex assistance.
+
+This contribution is the heterogeneous D3/D4 call dispatch, exact integer pattern-flow nomination, literal whole-helper matching realization, independent call-indexed audit, and complete composition of the resulting witness. It builds directly on the following work and does not claim authorship of those constructions.
+
+* Thomas DiFiore / PR1148, source head `3ba07f19` (full commit and file digests in SOURCE-PINS.json), supplies the joint-entrance D3 word. The complete raw word and notices are retained in vendor/pr1148. Its joint choice builds on seslly / shipstuff PR1111's group-635 demotion lead, PR664's promotion idea, and the preceding k8 coordinated/eight-endpoint/three-demotion packages.
+* D4 uses PR1148's already explored codimension-one group-627 entrance and the PR864 frame model (navinor / Claude), as adapted by Thomas DiFiore. Our discovery refit uses that model. Reproduction uses a frozen old/new recipe and exact independent native checks, not the optimizer.
+* `construct.py`, `controls.py`, and the initial T37 wrapper structure derive from Chafik Boukhalfa's PR1152 (head `d376209304f0…`). The perfect-matching technique and owner-flow lineage also credit Ali Romman / PR1129, PR1131's wave ordering, and Hao Yan / FanPUYen's PR858 physical windows. Upstream copies and exact digests identify the adapted sources.
+* The independent geometry checker is retained PR890, adapted from Hao Yan's PR858 checker; the signed prices and all-replica reasoning credit Chafik Boukhalfa's PR795/890 and jon314159's PR942. Retained PR870/1074 code provides strict multi-provider bindings and mutations. The T37 geometry adapters are PR942's retained source, with explicit, hash-recorded changes.
+* Rohan Arun's concurrent PR1169 reached the uniform joint-entrance T37 target 0.001675568675201533 while this mixed-dispatch experiment was running. Our initial uniform result tied its earlier version. This submission instead mixes two words and claims only the additional improvement stated here. PR1169's payload is not used by this verifier.
+* PR1176 and PR1183 concurrently explored mixed-provider gap augmentation. Their payloads are not consumed. PR1183's observed head `2dc3d14f54bac2a97811ea27f095bd7b6e28da40` nominates 69 extra group instances by local exchanges; this package independently reconstructs a global integer flow supporting 208. The mixed-provider idea is not claimed as exclusive to this submission.
+* Retain PR1018 and Rohan Arun's PR987 scalar-word ancestry, PR1030's endpoint lead, E8/k8/frame and controller predecessors, PR589's unchanged bit supplier, the PR559 recurrence correction, and all original notices in the retained repository dependency closure.
+
+All-source and package manifests preserve exact immutable source identities. Generated compression and phase timing are treated according to the repository's reproducibility policy. No unconditional theorem, full formal proof, search optimality, or observed runtime improvement is claimed.
diff --git a/research/mixed-demotions-t37/PROOF.md b/research/mixed-demotions-t37/PROOF.md
new file mode 100644
index 0000000000..e23ea42ce3
--- /dev/null
+++ b/research/mixed-demotions-t37/PROOF.md
@@ -0,0 +1,35 @@
+# Accounting and finite witness
+
+Let D3 be the joint-entrance word from Thomas DiFiore's updated PR1148, with entrance groups 603, 611 and 635 demoted. Its local profile is `{1:2364,2:498,3:412,4:130,5:82,8:8}` and its 480 helper widths have inventory `{4:44,5:44,7:38,8:114,9:240}`.
+
+D4 additionally changes helpers 627, 629, 630 and 631 to entrance subspace `[68,34,24,1]`. Twelve B-frame assignments are refitted. The scalar operations, registers, coefficients, ordering, ports and centre interface stay identical. The explicit old/new recipe is in `data/FOUR-RECIPE.json`; fresh exact native replay decides validity, independently of the floating frame search.
+
+D4's profile is `{1:2356,2:506,3:416,4:126,5:82,8:8}` and its width inventory is `{4:40,5:48,7:38,8:114,9:240}`. Thus each substitution changes the local profile by `−8H1+8H2+4H3−4H4` and increases occupied helper width by four.
+
+The frozen dispatch has 125 D3 and 208 D4 calls on the PR1131/1152 wave order, sorted by `(37*stage+8*replica,stage,replica)`. The source-event geometry is the retained PR942 five-bank T37 lift. There are 33,152 live and 33,642 physical wires. No call is fragmented; each of its 480 helpers belongs to a distinct available physical family.
+
+The flow uses these nine bin patterns (a zero-width pattern means empty):
+
+| Capacity | Pattern | Count |
+| --- | --- | ---: |
+| 8 | 8 | 20,556 |
+| 8 | 4+4 | 4,308 |
+| 16 | 8+8 | 6,102 |
+| 16 | 7+9 | 10,474 |
+| 32 | 5+9+9+9 | 15,484 |
+| 32 | 4+9+9+9 | 2 |
+| 32 | 7+7+9+9 | 1,090 |
+| 48 | empty | 11,374 |
+| 48 | 4+8+9+9+9+9 | 5,202 |
+
+`construct.py` checks exact pattern and call-width conservation, legal physical windows, and every integral flow entry. For each physical window group and pattern it completes the flow to a regular bipartite multigraph, decomposes it into perfect matchings, and assigns actual helpers of the nominated provider. This yields all 159,840 literal roles. The independent audit separately reconstructs the source events, strict bridge boundaries, physical family identities, 73-axis charts, occupied prefixes and complete per-call width inventories. It reads and recounts both admitted local words and selects them using the frozen call dispatch; it does not import the owner constructor or controller auditor.
+
+The resulting idle profile is `{1:2,48:11374}`. Adding it to the two local profiles weighted by their exact call counts gives:
+
+`{1:785550,2:167498,3:138028,4:42458,5:27306,8:2664,48:11374}`.
+
+Its rank mass is 2,408,256 and deficit is 11,840. The global prefix bound is 775 bits, below the charged 1,024; the finite physical row coefficient is 17,495, below 20,161. Those charges are checked by the complete retained invoice and independent owner audit, not inferred merely from profile feasibility.
+
+The PR795/890 signed prices explain the choice of mixture. The uniform D3 inventory has rank-one dual credit 20,850 per replica. Each extra demotion group consumes 3,700 units. Across 37 replicas the budget is 771,450, permitting 208 such substitutions while leaving credit 1,850, exactly two rank-one idle units at 925 each. This guides the search; the literal witness and full admission are still required. It is not a proof of optimality for mixed suppliers.
+
+The two retained rational engines bracket the complex root and the unchanged full PR589 supplier supplies the bit endpoint. `CLAIM.json` records the exact rational choices. The strict outer assembly selects κ = `1675672695827067/1000000000000000000`. The conditions and scope are the same as the retained framework; finite certificate success does not discharge the all-size multiplication theorem.
diff --git a/research/mixed-demotions-t37/README.md b/research/mixed-demotions-t37/README.md
new file mode 100644
index 0000000000..03b83367a9
--- /dev/null
+++ b/research/mixed-demotions-t37/README.md
@@ -0,0 +1,26 @@
+# Mixed joint entrances on 37 replicas
+
+This candidate uses **125 calls of PR1148's joint-entrance word and 208 calls of a four-group variant**. Its conditional target is **κ = 0.001675672695827067**. It improves the uniform-word T37 target 0.001675568675201533 in PR1169 by approximately 0.0062%. These are conditional finite construction prices, not an unconditional multiplication theorem or runtime measurements.
+
+The contribution is the mixed dispatch and its literal whole-helper realization. Changing four more entrance frames increases local recursive cost but reduces the unused rank-one capacity. A mixture balances those costs more effectively than using either word uniformly. The 333 calls have 159,840 whole helpers; the remaining idle profile is `{1:2,48:11374}`. See [PROOF.md](PROOF.md) for the accounting and [NOTICE.md](NOTICE.md) for predecessors.
+
+The complete local replay passed on the source commit identified in [the evidence record](evidence/REPLAY-SOURCE.json). The [result](evidence/RESULT.json), [two-engine price](evidence/PRICE.json), and [strict assembly](evidence/t37/strict/ASSEMBLY.json) retain exact inputs, charges and controls. Hosted checks and maintainer acceptance are separate.
+
+## Reproduce
+
+Use Python 3.11+, the repository's cold-replay dependencies (including a C++ compiler, Boost headers, NumPy/SciPy/SymPy ), and a new output directory outside the checkout:
+
+```sh
+OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 nice -n 15 \
+  python -B research/mixed-demotions-t37/verify.py --work /tmp/mixed-t37-fresh
+```
+
+If Boost is not on the compiler's normal include path, set `CPLUS_INCLUDE_PATH` to its header directory. Verification does not use OR-Tools, an allocation optimizer, a network connection, or discovery-mode admission. The frozen integer flow is expanded by deterministic perfect matchings; every integer equation is checked.
+
+A completed cold PR799 replay can be reused with `--ancestry799 /path/to/completed/replay`. The retained maintainer checker rechecks its source, artifacts, logs and PR589/741/799 bindings; an independent fixed coverage check rejects omitted stages. This option still rebuilds both new local providers and every new global stage.
+
+The driver checks both exact scalar maps and all 704 columns in both orientations, all native phase edges, local entrance mutations, the full helper map against literal bridge-aware windows, provider substitutions, the emitted controller and its 23 mutations, the complete invoice, 114 admission mutations, 12 bit-supplier mutations, two rational moment engines, and 47 strict outer inequalities. It also checks eight parent controls, eight frozen-flow controls, and eight independent owner controls. Successful completion writes `RESULT.json` with status `PASS_MIXED_JOINT_ENTRANCES_T37_COMPLETE_ADMISSION`.
+
+Immutable upstream archives retain byte pins. Fresh compressed outputs are compared by their complete decompressed content or documented semantic identity; only validated phase timing and compression references are rebound. The committed `SPEC.json` remains frozen throughout verification.
+
+The all-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and exact recovery, analytic transfer, PR559 recurrence correction and bit H1–H5 obligations remain. This package changes the local-word family; it makes no optimality claim for mixed words or other circuits. No selected certificate is changed by this research submission.
diff --git a/research/mixed-demotions-t37/SOURCE-PINS.json b/research/mixed-demotions-t37/SOURCE-PINS.json
new file mode 100644
index 0000000000..dcfb60ec38
--- /dev/null
+++ b/research/mixed-demotions-t37/SOURCE-PINS.json
@@ -0,0 +1,29 @@
+{
+  "allocation_solver": {
+    "not_required_for_verification": true,
+    "seed": 836,
+    "source_sha256": "e126848aa68a85854aa69b736ae5159261dd43f9385806f26c36397139603289",
+    "status": "OPTIMAL feasible integer witness",
+    "tool": "OR-Tools CP-SAT",
+    "workers": 2
+  },
+  "commits": {
+    "main": "ce7ad1b6ab09452c3478723a2e96ed5ff212dc08",
+    "pr1148": "3ba07f190e64bf7748f669d40fc5c37f77ce5dc4",
+    "pr1152": "d376209304f05551f975b0ddf6eaa84edc4ae31a",
+    "pr1169_observed_not_consumed": "c79df8e3c61676445f8e1782814450199d8221e6"
+  },
+  "immutable_inputs": {
+    "vendor/pr1148/JOINT-WORD.json.gz": "a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718",
+    "vendor/pr1148/NOTICE.md": "afbd38d6c8a232ea566c296424a86420f204e6cfaac565c0a147340bda3d3da6",
+    "vendor/pr1148/PLAN.json.gz": "e963ed64b9970858902b9388bcf1c5f9cc704859ad021ce8bda465a4dcef8310",
+    "vendor/pr1148/SPEC.json": "55bdb68d5d126c6be0e0acc419bd62301a978afd514f9834ed1e08b1aa4f563e",
+    "vendor/pr1148/k8-coordinated-owners-NOTICE.md": "442756fc1c5ecfd7b7b7694b53b1ecc70aa525004cd80f7d748ccd7270555189",
+    "vendor/pr1148/k8-eight-ends-NOTICE.md": "820fa13161f857c221f2c4099dd2985c7ff72249dc7a0221bc00fd0c1b9760e5",
+    "vendor/pr1148/k8-eight-ends-t16-NOTICE.md": "a9e85b59dde61fbff0b006923b441cbd1419e24fa9802426785bca667437fdc0",
+    "vendor/pr1148/k8-three-demotions-NOTICE.md": "a0fe85fb2207f0e6831a96deaeefb65afa379c1377a29f0b586f1db4bb4b2137",
+    "vendor/pr1152/NOTICE.md": "8e556b5407a49d9a07eb1d3de1d3c4d331fcab24d223af8f72b91048dbbac70a",
+    "vendor/pr1152/construct.py": "ba8303351220727e5602730fabade5b2630eff61dd9b7173a259ffc535ee88c6",
+    "vendor/pr1152/controls.py": "963fc23e72277fbec0e105917f9cc18595f18a806ac90d9d4a279c1fe1e76033"
+  }
+}
diff --git a/research/mixed-demotions-t37/audit.py b/research/mixed-demotions-t37/audit.py
new file mode 100644
index 0000000000..a350fcec65
--- /dev/null
+++ b/research/mixed-demotions-t37/audit.py
@@ -0,0 +1,79 @@
+"""Independent call-indexed local recount and PR890 literal owner geometry audit.
+
+The owner constructor and emitted controller are never imported. Both native
+words are independently recounted, then selected by the frozen call dispatch.
+Every modification to the retained geometric checker is explicit and hashed.
+"""
+import argparse, copy
+from collections import Counter
+from pathlib import Path
+from common import P,ROOT,read,dump,load,sha
+
+INVENTORIES={'demote3':{4:44,5:44,7:38,8:114,9:240},'demote4':{4:40,5:48,7:38,8:114,9:240}}
+
+def check(base,providers,owners_path,out):
+    source=ROOT/'research/complex-t21-owners/independent_check.py'
+    text=source.read_text()
+    edits=[('2 * 512','2 * 1024'),('prefix < 512','prefix < 1024'),
+      ('charged_prefix_bits=512','charged_prefix_bits=1024'),
+      ('Counter(widths) == {4: 80, 5: 32, 7: 54, 8: 122, 9: 216}',
+       'Counter(widths) in ({4:44,5:44,7:38,8:114,9:240},{4:40,5:48,7:38,8:114,9:240})'),
+      ("width == c['widths'][helper]", "width == c['widths_by_call'][call][helper]"),
+      ("Counter({rank: 9 * T * count for rank, count in c['paid'].items()})", "Counter(c['paid_total'])"),
+      ("max(x['prefix_bits_upper'] for x in c['replay']['local'].values())", "c['localbits']"),
+      ("local_profile=dict(sorted(c['paid'].items())), width_inventory=dict(sorted(Counter(c['widths']).items())),", "local_profiles=c['local_profiles'], width_inventories=c['inventories'], provider_call_counts=c['call_counts'],"),
+      ("if context['callpos'][key] >= hi", "if context['callpos'][key] >= hi and context['widths_by_call'][key][z['helper']] == z['width']")]
+    for before,after in edits:
+        assert text.count(before)==1,(before,text.count(before));text=text.replace(before,after)
+    adapter=out.parent/'mixed_independent_owner_adapter.py';assert not adapter.exists();adapter.write_text(text)
+    ck=load(adapter,'independent_mixed_owner_checker');ck.T=37;ck.R=480;ck.EXPECTED_IDLE={1:2,48:11374}
+    refs=[base/'split-centres/GLOBAL-TEMPLATE.json.gz',base/'work/complex-nine-native/DATA-PHASES.json',
+          base/'split-centres/CANONICAL-WORD.json.gz',owners_path,P/'data/MIX.json',P/'data/ORDER.json']
+    parent,phases,canonical,owners,mix,order=map(read,refs)
+    assert [[s,r]for pid,s,r in mix]==order
+    assert len({(s,r)for pid,s,r in mix})==333
+    counts=Counter(pid for pid,s,r in mix);assert counts=={'demote3':125,'demote4':208}
+    assert set(providers)==set(counts)
+    widths={};paid={};words={};receipts={};bits=[]
+    for pid,directory in sorted(providers.items()):
+        paths=[directory/'CANONICAL-WORD.json.gz',directory/'INDEPENDENT-LOCAL-REPLAY.json'];refs+=paths
+        word,receipt=map(read,paths);words[pid]=word;receipts[pid]=receipt
+        assert receipt['canonical_word_sha256']==sha(paths[0])
+        assert receipt['status']=='PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY'
+        assert word['ports']==canonical['ports']
+        assert [ck.basis(word['frames'][f])for f in word['center_frames']]==[ck.basis(canonical['frames'][f])for f in canonical['center_frames']]
+        widths[pid],paid[pid]=ck.local_inventory(word,receipt)
+        assert Counter(widths[pid])==INVENTORIES[pid]
+        bits.extend(v['prefix_bits_upper']for v in receipt['local'].values())
+    context=ck.make_context(parent,phases,words['demote3']['ports'],words['demote3'],receipts['demote3'],owners)
+    assert [list(k)for k in context['order']]==order
+    total=Counter()
+    for pid,s,r in mix:total.update(paid[pid])
+    context.update(widths_by_call={(s,r):widths[pid]for pid,s,r in mix},paid_total=total,localbits=max(bits),
+      local_profiles={pid:dict(v)for pid,v in paid.items()},inventories=INVENTORIES,call_counts=dict(counts))
+    result=ck.check_roles(context,owners);result['controls_rejected']=ck.controls(context,owners)
+    # Substituting the other admitted word changes four specific whole-helper
+    # widths. Keep the geometry fixed and require rejection at that predicate.
+    for pid in sorted(providers):
+        call=next((s,r)for p,s,r in mix if p==pid);bad=copy.copy(context)
+        bad['widths_by_call']=dict(context['widths_by_call'])
+        bad['widths_by_call'][call]=widths['demote4'if pid=='demote3'else'demote3']
+        try:ck.check_roles(bad,owners)
+        except ValueError as e:
+            assert str(e)=='whole-helper residual width'
+            result['controls_rejected'].append(dict(name='wrong_provider_'+pid,reason=str(e)))
+        else:raise AssertionError('wrong provider accepted')
+    result.update(edits=edits,source_sha256=sha(source),adapter_sha256=sha(adapter),inputs={str(p):sha(p)for p in refs})
+    claim=read(P/'CLAIM.json')
+    for field in ('roles','calls','live','physical','rank_mass','deficit','prefix_bits','physical_row_coefficient'):
+        assert result[field]==claim[field],field
+    assert {str(r):n for r,n in result['profile'].items()}==claim['complex_profile']
+    dump(out,result);return result
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('base','local3','local4','owners','out'):ap.add_argument('--'+k,type=Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT)
+    out.parent.mkdir(parents=True,exist_ok=True)
+    r=check(a.base,{'demote3':a.local3,'demote4':a.local4},a.owners,out);print(r['status'],r['roles'],flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-demotions-t37/build_word.py b/research/mixed-demotions-t37/build_word.py
new file mode 100644
index 0000000000..b98987baf9
--- /dev/null
+++ b/research/mixed-demotions-t37/build_word.py
@@ -0,0 +1,27 @@
+"""Apply a frozen four-helper entrance/frame recipe, without optimization."""
+import argparse
+from pathlib import Path
+from common import P,read,dump,identity,sha
+
+def build(out):
+    assert not out.exists()
+    word=read(P/'vendor/pr1148/JOINT-WORD.json.gz')
+    recipe=read(P/'data/FOUR-RECIPE.json')
+    assert set(recipe)=={'B','report','start_extra'}
+    for helper,old,new in recipe['start_extra']:
+        assert word['start_extra'][helper]==old
+        word['start_extra'][helper]=new
+    for index,old,new in recipe['B']:
+        assert word['B'][index]==old
+        # Scalar operation, registers and coefficient are unchanged.
+        assert old[:-1]==new[:-1]
+        word['B'][index]=new
+    word['report']=recipe['report']
+    assert word==read(P/'data/FOUR-WORD.json.gz')
+    dump(out,word)
+    return dict(status='PASS_FROZEN_FOUR_ENTRANCE_RECIPE',content_sha256=identity(word),
+      source_sha256=sha(P/'vendor/pr1148/JOINT-WORD.json.gz'),recipe_sha256=sha(P/'data/FOUR-RECIPE.json'))
+
+if __name__=='__main__':
+    ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--out',type=Path,required=True);a=ap.parse_args()
+    print(build(a.out)['status'])
diff --git a/research/mixed-demotions-t37/common.py b/research/mixed-demotions-t37/common.py
new file mode 100644
index 0000000000..4af6dc3374
--- /dev/null
+++ b/research/mixed-demotions-t37/common.py
@@ -0,0 +1,26 @@
+"""Strict shared I/O; construction and independent audit remain separate."""
+import gzip, hashlib, importlib.util, json, sys
+from pathlib import Path
+P=Path(__file__).resolve().parent
+ROOT=P.parents[1]
+if not __debug__:raise RuntimeError('Assertions must remain enabled')
+def read(path):
+    path=Path(path);raw=path.read_bytes()
+    return json.loads(gzip.decompress(raw)if path.suffix=='.gz'else raw)
+def canonical(value):return json.dumps(value,sort_keys=True,separators=(',',':')).encode()
+def sha(path):return hashlib.sha256(Path(path).read_bytes()).hexdigest()
+def identity(value):return hashlib.sha256(canonical(value)).hexdigest()
+def dump(path,value):
+    raw=canonical(value)
+    if path.suffix=='.gz':
+        raw=bytearray(gzip.compress(raw,mtime=0));raw[9]=255
+    path.write_bytes(raw)
+def load(path,name):
+    previous=sys.modules.pop('common',None);sys.path.insert(0,str(path.parent))
+    try:
+        spec=importlib.util.spec_from_file_location(name,path)
+        module=importlib.util.module_from_spec(spec);sys.modules[name]=module;spec.loader.exec_module(module)
+        return module
+    finally:
+        sys.path.pop(0);sys.modules.pop('common',None)
+        if previous is not None:sys.modules['common']=previous
diff --git a/research/mixed-demotions-t37/construct.py b/research/mixed-demotions-t37/construct.py
new file mode 100644
index 0000000000..00429f1e62
--- /dev/null
+++ b/research/mixed-demotions-t37/construct.py
@@ -0,0 +1,116 @@
+"""Expand the frozen integer pattern flows without a solver or third-party library.
+
+Credit: PR858 physical windows; local promo4 pattern-flow formulation; standard
+regular bipartite multigraph decomposition by successive perfect matchings.
+Every matching and every integer conservation equation is checked explicitly.
+"""
+import argparse
+from collections import Counter,defaultdict,deque
+from common import P,ROOT,read,dump,load,identity,sha
+
+def matching(A):
+    n=len(A);left=[-1]*n;right=[-1]*n
+    while True:
+        distance=[-1]*n;q=deque()
+        for u in range(n):
+            if left[u]<0:distance[u]=0;q.append(u)
+        while q:
+            u=q.popleft()
+            for v in sorted(A[u]):
+                z=right[v]
+                if z>=0 and distance[z]<0:distance[z]=distance[u]+1;q.append(z)
+        def augment(u):
+            for v in sorted(A[u]):
+                z=right[v]
+                if z<0 or(distance[z]==distance[u]+1 and augment(z)):
+                    left[u]=v;right[v]=u;return True
+            distance[u]=-1;return False
+        count=sum(augment(u) for u in range(n)if left[u]<0)
+        if all(v>=0 for v in left):break
+        assert count,'Regular bipartite graph has no perfect matching'
+    assert sorted(left)==list(range(n)) and all(A[u][v]>0 for u,v in enumerate(left))
+    return left
+
+def construct(parent,words,flow,order,mix):
+    expected_order=sorted([[s,r]for s in range(9)for r in range(37)],key=lambda k:(37*k[0]+8*k[1],k[0],k[1]))
+    assert order==expected_order,'Frozen wave order'
+    mod=load(ROOT/'research/complex-t21-owners/vendor/pr870/t16/build_parent.py','original_actual_windows')
+    windows,schedule=mod.actual_windows(parent,order)
+    original=read(P/'vendor/pr1148/PLAN.json.gz')
+    assert [[s,r] for pid,s,r in mix]==order
+    assert Counter(pid for pid,s,r in mix)=={'demote3':125,'demote4':208}
+    inventories={'demote3':{4:44,5:44,7:38,8:114,9:240},'demote4':{4:40,5:48,7:38,8:114,9:240}}
+    widths={}
+    for pid,word in words.items():
+        widths[pid]=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,224+word['R'])]
+        assert Counter(widths[pid])==inventories[pid]
+    pools=defaultdict(list)
+    for t,(pid,s,r) in enumerate(mix):
+        for h,w in enumerate(widths[pid]):pools[t,w].append(h)
+    roles=[];seen=set();flow_edges=0;bin_count=0
+    for group in flow:
+        keys=group['physical_windows'];assert keys and len(keys)==len(set(keys))
+        assert not seen.intersection(keys);seen.update(keys)
+        cap,times=windows[keys[0]]
+        assert all(windows[key]==[cap,times]for key in keys)
+        n=len(times);portbase=0
+        for pattern in group['patterns']:
+            widths_p=pattern['widths'];N=pattern['count'];flows={}
+            assert type(N)is int and 0<N<=112*len(keys)
+            assert all(type(w)is int and w in (4,5,7,8,9)for w in widths_p)
+            assert widths_p==sorted(widths_p) and sum(widths_p)<=cap and len(widths_p)<=n
+            for t,w,count in pattern['flow']:
+                assert all(type(x)is int for x in (t,w,count))
+                assert t in times and w in widths_p and 0<count<=N and(t,w)not in flows
+                flows[t,w]=count
+            flow_edges+=len(flows)
+            counts=Counter(widths_p)
+            assert all(sum(flows.get((t,w),0)for t in times)==N*count for w,count in counts.items())
+            assert all(sum(flows.get((t,w),0)for w in counts)<=N for t in times)
+            if not widths_p:
+                assert not flows;portbase+=N;bin_count+=N;continue
+            A=[defaultdict(int)for _ in range(n)];row_widths=[]
+            for w,count in sorted(counts.items()):
+                remaining=[flows.get((t,w),0)for t in times];ti=0
+                for _ in range(count):
+                    row=len(row_widths);row_widths.append(w);need=N
+                    while need:
+                        while remaining[ti]==0:ti+=1
+                        take=min(need,remaining[ti]);A[row][ti]+=take;remaining[ti]-=take;need-=take
+                assert not any(remaining)
+            K=len(row_widths);deficit=[N-sum(A[i].get(t,0)for i in range(K))for t in range(n)];ti=0
+            assert min(deficit)>=0
+            for row in range(K,n):
+                need=N
+                while need:
+                    while deficit[ti]==0:ti+=1
+                    take=min(need,deficit[ti]);A[row][ti]+=take;deficit[ti]-=take;need-=take
+            assert not any(deficit) and all(sum(row.values())==N for row in A)
+            actual=Counter()
+            for color in range(N):
+                match=matching(A);slots=sorted((times[match[i]],row_widths[i])for i in range(K))
+                for i,t in enumerate(match):
+                    A[i][t]-=1
+                    if not A[i][t]:del A[i][t]
+                index,port=divmod(portbase+color,112);owner,child=map(int,keys[index].split(','));offset=0
+                for t,w in slots:
+                    actual[t,w]+=1;assert pools[t,w];helper=pools[t,w].pop();stage,replica=order[t]
+                    roles.append(dict(stage=stage,replica=replica,time=t,helper=helper,width=w,owner_replica=owner,child=child,port=port,offset=offset,copy=112*owner+port,family=896*owner+112*(2*original['pairs'][str(child)]+original['sides'][str(child)])+port))
+                    offset+=w
+                assert offset==sum(widths_p)
+            assert not any(A) and actual==flows
+            portbase+=N;bin_count+=N
+        assert portbase==112*len(keys)
+    assert seen==set(windows) and not any(pools.values()) and len(roles)==159840
+    roles.sort(key=lambda z:(z['time'],z['helper']))
+    return roles,dict(status='PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING',roles=len(roles),bins=bin_count,windows=len(windows),flow_edges=flow_edges,owner_content_sha256=identity(roles),schedule_content_sha256=identity(schedule))
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('parent','word3','word4','out'):ap.add_argument('--'+k,type=__import__('pathlib').Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT);out.mkdir(parents=True)
+    roles,receipt=construct(read(a.parent),{'demote3':read(a.word3),'demote4':read(a.word4)},read(P/'data/FLOW.json.gz'),read(P/'data/ORDER.json'),read(P/'data/MIX.json'))
+    dump(out/'OWNERS.json.gz',roles)
+    receipt['inputs']={str(p):sha(p)for p in (a.parent,a.word3,a.word4,P/'data/FLOW.json.gz',P/'data/ORDER.json',P/'data/MIX.json')}
+    dump(out/'CONSTRUCTION.json',receipt);print(receipt['status'],len(roles),flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-demotions-t37/controller.py b/research/mixed-demotions-t37/controller.py
new file mode 100644
index 0000000000..50387d2973
--- /dev/null
+++ b/research/mixed-demotions-t37/controller.py
@@ -0,0 +1,55 @@
+"""Run the retained emitted-controller checks and bind their final receipts."""
+from fractions import Fraction
+import os,subprocess,sys,time
+from common import P,ROOT,read,dump,sha
+
+def replay(work,providers,discovery=False):
+    source=ROOT/'research/complex-k492-owner-repair/vendor/multicold'
+    code=work/'runtime/code';spec=work/'runtime/data/SPEC.json'
+    mode='discovery'if discovery else'strict';out=work/mode;out.mkdir();g=out/'global'
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',
+      MULTICOLD_SOURCE=str(source),GAIN_PR564_SOURCE=str(source),WITNESS_SPEC=str(spec))
+    for k in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD'):env.pop(k,None)
+    if discovery:env.update(WITNESS_DISCOVER='1',WITNESS_RECORD=str(out/'WITNESS-RECORD.jsonl'))
+    stages=[]
+    def run(name,script,*args):
+        start=time.monotonic();log=out/(name+'.log')
+        with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(source/'code/run_portable.py'),str(code/script),*map(str,args)],env=env,cwd=ROOT,stdout=f,stderr=subprocess.STDOUT)
+        stages.append(dict(name=name,exit_code=r.returncode,seconds=round(time.monotonic()-start,3),log_sha256=sha(log)))
+        dump(out/'STAGES.json',stages)
+        if r.returncode:raise RuntimeError(name+'\n'+log.read_text()[-6000:])
+        print('PASS',mode,name,flush=True)
+    provider_args=[arg for pid,local in sorted(providers.items()) for arg in ('--provider',pid+'='+str(local))]
+    run('bind','bind_providers_portable.py','--baseline',work/'parent',*provider_args,'--plan',work/'lift/PLAN.json','--out',g)
+    run('emit','emit_allcold.py','--base',g/'base','--owners',P/'data/OWNERS.json.gz','--plan',g/'PLAN.json','--out',g/'hosted')
+    run('audit','audit_allcold.py',g/'base',g/'hosted',g/'audit/ASYNC-AUDIT.json','--mutation-controls')
+    run('invoice','invoice_allcold.py','--base',g/'base','--hosted',g/'hosted','--audit',g/'audit','--out',g/'audit','--retained-invoice',source/'vendor/pr558/vendor/pr552/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json')
+    run('assembly','assemble.py',source,g,out/'ASSEMBLY.json')
+    if discovery:
+        run('freeze','freeze_spec.py','--spec',spec,'--discovery',out)
+        return read(out/'ASSEMBLY.json')
+    for name,script,target in [('admission-controls','assembly_controls.py','ADMISSION-CONTROLS.json'),('bit-controls','bit_supplier_controls.py','BIT-CONTROLS.json')]:
+        run(name,script,'--source-package',source,'--owner',g/'audit/OWNERS-AND-PROFILE.json','--invoice',g/'audit/PREFIX-AND-INVOICE.json','--out',out/target)
+    asm=read(out/'ASSEMBLY.json');owner=read(g/'audit/OWNERS-AND-PROFILE.json')
+    invoice=read(g/'audit/PREFIX-AND-INVOICE.json');audit=read(g/'audit/ASYNC-AUDIT.json')
+    ac=read(out/'ADMISSION-CONTROLS.json');bc=read(out/'BIT-CONTROLS.json');claim=read(P/'CLAIM.json')
+    for k in ('kappa','kappa_decimal','complex_lower','bit_lower','complex_profile'):assert asm[k]==claim[k],k
+    for k in ('live','physical','rank_mass','deficit'):assert owner[k]==claim[k],k
+    assert owner['hosted_residuals']==audit['complex_hosted_residuals']==claim['roles']==159840
+    assert audit['complete_invocations']==invoice['complete_invocation_sweeps']==333
+    assert invoice['global_prefix_bits']==775 and invoice['charged_prefix_bits']==1024
+    assert invoice['finite']['physical_row_coefficient']==17495<invoice['finite']['retained_row_coefficient']==20161
+    assert invoice['strict_checks'] and all(invoice['strict_checks'].values())
+    assert len(asm['outer'])==47 and all(Fraction(v)>0 for v in asm['outer'].values())
+    assert not ac['discovery_accepted_controls'] and len(ac['rejected_controls'])==114
+    assert len(bc['rejected_controls'])==12 and bc['derived_deficit']==10272
+    assert audit['mutation_controls_run'] and len(audit['mutations_rejected'])==23
+    assert asm['template_sha256']==owner['template_sha256']==invoice['template_sha256']
+    assert invoice['owner_audit_sha256']==sha(g/'audit/OWNERS-AND-PROFILE.json')
+    assert invoice['controller_audit_sha256']==sha(g/'audit/ASYNC-AUDIT.json')
+    for pid,local in providers.items():
+        for name in ('CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','INDEPENDENT-LOCAL-REPLAY.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json'):
+            assert read(g/'base/providers'/pid/name)==read(local/name),'Fresh provider binding: '+pid+'/'+name
+    return dict(status='PASS_MIXED_DEMOTIONS_T37_STRICT_CONTROLLER',kappa=asm['kappa'],kappa_decimal=asm['kappa_decimal'],
+      complex_profile=asm['complex_profile'],roles=159840,calls=333,prefix_bits=775,row_coefficient=17495,
+      controls=dict(admission=114,bit_supplier=12,controller=23),scope=claim['scope'],stages=stages)
diff --git a/research/mixed-demotions-t37/controls.py b/research/mixed-demotions-t37/controls.py
new file mode 100644
index 0000000000..a5cbce2d30
--- /dev/null
+++ b/research/mixed-demotions-t37/controls.py
@@ -0,0 +1,25 @@
+"""Reject malformed frozen flow inputs before accepting any reconstructed map."""
+import copy
+from construct import construct
+from common import P,read,dump
+
+def check(parent,words,out):
+    flow=read(P/'data/FLOW.json.gz');order=read(P/'data/ORDER.json');mix=read(P/'data/MIX.json')
+    result=[]
+    for name in ('boolean_bin_count','negative_bin_count','duplicate_window','duplicate_flow',
+                 'out_of_window_time','invalid_width','overfull_call','reordered_wave'):
+        bad=copy.deepcopy(flow);badorder=copy.deepcopy(order)
+        group=bad[0];pattern=next(p for p in group['patterns']if p['flow'])
+        if name=='boolean_bin_count':group['patterns'][0]['count']=True
+        elif name=='negative_bin_count':group['patterns'][0]['count']=-1
+        elif name=='duplicate_window':group['physical_windows'].append(group['physical_windows'][0])
+        elif name=='duplicate_flow':pattern['flow'].append(pattern['flow'][0].copy())
+        elif name=='out_of_window_time':pattern['flow'][0][0]=333
+        elif name=='invalid_width':pattern['flow'][0][1]=6
+        elif name=='overfull_call':pattern['flow'][0][2]=pattern['count']+1
+        else:badorder[0],badorder[1]=badorder[1],badorder[0]
+        try:construct(parent,words,bad,badorder,mix)
+        except AssertionError:result.append(name)
+        else:raise AssertionError('Accepted malformed flow: '+name)
+    receipt=dict(status='PASS_FROZEN_FLOW_NEGATIVE_CONTROLS',rejected=result)
+    dump(out,receipt);return receipt
diff --git a/research/mixed-demotions-t37/data/FLOW.json.gz b/research/mixed-demotions-t37/data/FLOW.json.gz
new file mode 100644
index 0000000000..71246bb8e4
Binary files /dev/null and b/research/mixed-demotions-t37/data/FLOW.json.gz differ
diff --git a/research/mixed-demotions-t37/data/FOUR-RECIPE.json b/research/mixed-demotions-t37/data/FOUR-RECIPE.json
new file mode 100644
index 0000000000..1fdb9bb71c
--- /dev/null
+++ b/research/mixed-demotions-t37/data/FOUR-RECIPE.json
@@ -0,0 +1,479 @@
+{
+  "B": [
+    [
+      384,
+      [
+        "add",
+        624,
+        627,
+        -1,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        624,
+        627,
+        -1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      385,
+      [
+        "add",
+        625,
+        627,
+        -1,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        625,
+        627,
+        -1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      386,
+      [
+        "add",
+        626,
+        627,
+        1,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        626,
+        627,
+        1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      387,
+      [
+        "add",
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+        629,
+        -2,
+        1,
+        [
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+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        624,
+        629,
+        -2,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      388,
+      [
+        "add",
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+        629,
+        2,
+        1,
+        [
+          390,
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+          34,
+          24,
+          1
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+      [
+        "add",
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+        629,
+        2,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      389,
+      [
+        "add",
+        628,
+        629,
+        -1,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        628,
+        629,
+        -1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      390,
+      [
+        "add",
+        624,
+        630,
+        -2,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        624,
+        630,
+        -2,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      391,
+      [
+        "add",
+        626,
+        630,
+        2,
+        1,
+        [
+          390,
+          68,
+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        626,
+        630,
+        2,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      392,
+      [
+        "add",
+        628,
+        630,
+        -1,
+        1,
+        [
+          390,
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+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        628,
+        630,
+        -1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      393,
+      [
+        "add",
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+        631,
+        2,
+        1,
+        [
+          390,
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+          34,
+          24,
+          1
+        ]
+      ],
+      [
+        "add",
+        625,
+        631,
+        2,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ],
+    [
+      394,
+      [
+        "add",
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+        631,
+        -2,
+        1,
+        [
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+          1
+        ]
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+      [
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+        631,
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+        [
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+      ]
+    ],
+    [
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+      [
+        "add",
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+        631,
+        -1,
+        1,
+        [
+          390,
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+          34,
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+          1
+        ]
+      ],
+      [
+        "add",
+        628,
+        631,
+        -1,
+        1,
+        [
+          68,
+          34,
+          24,
+          1
+        ]
+      ]
+    ]
+  ],
+  "report": {
+    "R": 480,
+    "borrowed_output_pairs": 56,
+    "centre_ranks": [
+      8,
+      8,
+      8,
+      8,
+      8,
+      8,
+      8,
+      8
+    ],
+    "cst": 64,
+    "first_load_join_counts": {
+      "4": 64
+    },
+    "h": 9,
+    "local_profile": {
+      "1": 2356,
+      "2": 506,
+      "3": 416,
+      "4": 126,
+      "5": 82,
+      "8": 8
+    },
+    "local_rank_mass": 5594,
+    "m": 73,
+    "scope": "Clean scalar identity and all literal monotone local frames only; arbitrary-dirt compensation, entrance kernels, exact phase recipes, and global hosting/pricing are not yet certified.",
+    "selected_load_join_counts": {
+      "6": 64
+    },
+    "selected_partitions": [
+      0,
+      0
+    ],
+    "source_and_helper_cleanup_exact_on_clean_columns": true,
+    "source_columns_exact": 112,
+    "status": "EXACT_CLEAN_OWN_Y_EARLY_CENTER_WORD_NOT_ADMITTED",
+    "tri_join_counts": {},
+    "v": 112,
+    "width_inventory": {
+      "4": 40,
+      "5": 48,
+      "7": 38,
+      "8": 114,
+      "9": 240
+    }
+  },
+  "start_extra": [
+    [
+      "627",
+      [
+        390,
+        68,
+        34,
+        24,
+        1
+      ],
+      [
+        68,
+        34,
+        24,
+        1
+      ]
+    ],
+    [
+      "629",
+      [
+        390,
+        68,
+        34,
+        24,
+        1
+      ],
+      [
+        68,
+        34,
+        24,
+        1
+      ]
+    ],
+    [
+      "630",
+      [
+        390,
+        68,
+        34,
+        24,
+        1
+      ],
+      [
+        68,
+        34,
+        24,
+        1
+      ]
+    ],
+    [
+      "631",
+      [
+        390,
+        68,
+        34,
+        24,
+        1
+      ],
+      [
+        68,
+        34,
+        24,
+        1
+      ]
+    ]
+  ]
+}
diff --git a/research/mixed-demotions-t37/data/FOUR-WORD.json.gz b/research/mixed-demotions-t37/data/FOUR-WORD.json.gz
new file mode 100644
index 0000000000..46f164ba39
Binary files /dev/null and b/research/mixed-demotions-t37/data/FOUR-WORD.json.gz differ
diff --git a/research/mixed-demotions-t37/data/MIX.json b/research/mixed-demotions-t37/data/MIX.json
new file mode 100644
index 0000000000..52e8bdd775
--- /dev/null
+++ b/research/mixed-demotions-t37/data/MIX.json
@@ -0,0 +1,1667 @@
+[
+  [
+    "demote4",
+    0,
+    0
+  ],
+  [
+    "demote4",
+    0,
+    1
+  ],
+  [
+    "demote4",
+    0,
+    2
+  ],
+  [
+    "demote4",
+    0,
+    3
+  ],
+  [
+    "demote4",
+    0,
+    4
+  ],
+  [
+    "demote4",
+    1,
+    0
+  ],
+  [
+    "demote4",
+    0,
+    5
+  ],
+  [
+    "demote4",
+    1,
+    1
+  ],
+  [
+    "demote4",
+    0,
+    6
+  ],
+  [
+    "demote4",
+    1,
+    2
+  ],
+  [
+    "demote4",
+    0,
+    7
+  ],
+  [
+    "demote4",
+    1,
+    3
+  ],
+  [
+    "demote4",
+    0,
+    8
+  ],
+  [
+    "demote4",
+    1,
+    4
+  ],
+  [
+    "demote4",
+    0,
+    9
+  ],
+  [
+    "demote4",
+    2,
+    0
+  ],
+  [
+    "demote4",
+    1,
+    5
+  ],
+  [
+    "demote4",
+    0,
+    10
+  ],
+  [
+    "demote4",
+    2,
+    1
+  ],
+  [
+    "demote4",
+    1,
+    6
+  ],
+  [
+    "demote4",
+    0,
+    11
+  ],
+  [
+    "demote4",
+    2,
+    2
+  ],
+  [
+    "demote4",
+    1,
+    7
+  ],
+  [
+    "demote4",
+    0,
+    12
+  ],
+  [
+    "demote4",
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diff --git a/research/mixed-demotions-t37/evidence/ANCESTRY.json b/research/mixed-demotions-t37/evidence/ANCESTRY.json
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\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/ENTRANCE-CONTROLS.json b/research/mixed-demotions-t37/evidence/ENTRANCE-CONTROLS.json
new file mode 100644
index 0000000000..3a6faf62a0
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/ENTRANCE-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_FOUR_ENTRANCE_SEMANTIC_CONTROLS",
+  "rejected": [
+    {
+      "control": "restore-promoted-start-627",
+      "reason": "frame not monotone (627, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-627",
+      "reason": "frame not monotone (627, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-629",
+      "reason": "frame not monotone (629, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-629",
+      "reason": "frame not monotone (624, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-630",
+      "reason": "frame not monotone (630, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-630",
+      "reason": "frame not monotone (624, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-631",
+      "reason": "frame not monotone (631, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-631",
+      "reason": "frame not monotone (625, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "false-paid-profile",
+      "reason": "paid profile mismatch"
+    },
+    {
+      "control": "wrong-target-coefficient",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "false-helper-inventory",
+      "reason": "width inventory mismatch"
+    }
+  ]
+}
diff --git a/research/mixed-demotions-t37/evidence/FLOW-CONTROLS.json b/research/mixed-demotions-t37/evidence/FLOW-CONTROLS.json
new file mode 100644
index 0000000000..b6fe46c47c
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/FLOW-CONTROLS.json
@@ -0,0 +1 @@
+{"rejected":["boolean_bin_count","negative_bin_count","duplicate_window","duplicate_flow","out_of_window_time","invalid_width","overfull_call","reordered_wave"],"status":"PASS_FROZEN_FLOW_NEGATIVE_CONTROLS"}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/INDEPENDENT-OWNERS.json b/research/mixed-demotions-t37/evidence/INDEPENDENT-OWNERS.json
new file mode 100644
index 0000000000..44c14d7c4a
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/INDEPENDENT-OWNERS.json
@@ -0,0 +1 @@
+{"actual_73_axis_charts":11144,"adapter_sha256":"5dcc9304d84d6f07bb818685baa9c59c609043fa4a6ef156fffc1b44ffce0b33","bridge_events":333,"calls":333,"charged_prefix_bits":1024,"checked_busy_family_windows":159840,"checked_slice_prefixes":74592,"checked_whole_helper_widths":159840,"controls_rejected":[{"name":"private_namespace_collision","reason":"private-namespace collision"},{"name":"copy_replica_alias","reason":"role invocation time"},{"name":"missing_whole_helper","reason":"complete helper role count"},{"name":"split_whole_helper","reason":"complete helper role count"},{"name":"truncated_helper_width","reason":"whole-helper residual width"},{"name":"cross_idle_boundary","reason":"strict bridge-aware idle window"},{"name":"wrong_provider_demote3","reason":"whole-helper residual width"},{"name":"wrong_provider_demote4","reason":"whole-helper residual width"}],"deficit":11840,"edits":[["2 * 512","2 * 1024"],["prefix < 512","prefix < 1024"],["charged_prefix_bits=512","charged_prefix_bits=1024"],["Counter(widths) == {4: 80, 5: 32, 7: 54, 8: 122, 9: 216}","Counter(widths) in ({4:44,5:44,7:38,8:114,9:240},{4:40,5:48,7:38,8:114,9:240})"],["width == c['widths'][helper]","width == c['widths_by_call'][call][helper]"],["Counter({rank: 9 * T * count for rank, count in c['paid'].items()})","Counter(c['paid_total'])"],["max(x['prefix_bits_upper'] for x in c['replay']['local'].values())","c['localbits']"],["local_profile=dict(sorted(c['paid'].items())), width_inventory=dict(sorted(Counter(c['widths']).items())),","local_profiles=c['local_profiles'], width_inventories=c['inventories'], provider_call_counts=c['call_counts'],"],["if context['callpos'][key] >= hi","if context['callpos'][key] >= hi and context['widths_by_call'][key][z['helper']] == z['width']"]],"expanded_replica_events":1110,"idle":{"1":2,"48":11374},"inputs":{"/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/constructed/OWNERS.json.gz":"3a56f578b2db5647cf6cb811bc6263c7a802ae3e31e9e672596d43185e4e5c9f","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote3/local/CANONICAL-WORD.json.gz":"c35ae25e495c53273a26102338c43de2ac7d3044fdead25b619c0bebc0e5cbff","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote3/local/INDEPENDENT-LOCAL-REPLAY.json":"2bcb926b433bfc223997efd5d7212899c850a1ddb204269589b1f3a7151d82c6","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote4/local/CANONICAL-WORD.json.gz":"0f4045b78efc4fd5c1cb5c840f13e5e4b0139a3683d86cced5c8a38dd972723d","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote4/local/INDEPENDENT-LOCAL-REPLAY.json":"3aa0b38079d2af52e6f94cc9f128d7bbb776fccbe57aaad630a5054edb39dc48","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/retained1042/slots/global/global/base/split-centres/CANONICAL-WORD.json.gz":"66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/retained1042/slots/global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz":"ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/retained1042/slots/global/global/base/work/complex-nine-native/DATA-PHASES.json":"c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa","/home/jeremydiviney/intmult/build/contribution/three-demotions-t37/research/mixed-demotions-t37/data/MIX.json":"dd86bbb792a5c9f0d7507d55bd2f8392c66716023934b03b24f48ca737204eea","/home/jeremydiviney/intmult/build/contribution/three-demotions-t37/research/mixed-demotions-t37/data/ORDER.json":"7757df3b54ca5e84c6dba9563b10bc6215c5e289313392b5a4b493179a245c29"},"literal_windows":666,"live":33152,"local_prefix_bits":68,"local_prefix_from_native_receipt":true,"local_profile_recounted":true,"local_profiles":{"demote3":{"1":2364,"2":498,"3":412,"4":130,"5":82,"8":8},"demote4":{"1":2356,"2":506,"3":416,"4":126,"5":82,"8":8}},"namespace":{"centres":[33152,33160],"coefficient":[33640,33642],"data":[0,33152],"tableau":[33160,33640]},"orthogonal_port_bases":112,"physical":33642,"physical_row_coefficient":17495,"physical_stock_bits":2643,"prefix_bits":775,"prefix_formula":{"bridges":333,"input_l2":37,"invocations":333,"local_scalar":68,"margin":4},"profile":{"1":785550,"2":167498,"3":138028,"4":42458,"5":27306,"8":2664,"48":11374},"provider_call_counts":{"demote3":125,"demote4":208},"rank_mass":2408256,"roles":159840,"row_limit":20161,"scope":"Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.","source_events_per_replica":30,"source_sha256":"9d8c86bf45cdaef37f223c88704055ced503ee295645611e13f3fb9059a00e55","status":"PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW","width_inventories":{"demote3":{"4":44,"5":44,"7":38,"8":114,"9":240},"demote4":{"4":40,"5":48,"7":38,"8":114,"9":240}}}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/PARENT-CHECK.json b/research/mixed-demotions-t37/evidence/PARENT-CHECK.json
new file mode 100644
index 0000000000..e6f7d66272
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/PARENT-CHECK.json
@@ -0,0 +1,47 @@
+{
+  "status": "PASS_INDEPENDENT_T37_PARTIAL_BANK_ENVELOPE",
+  "calls": 333,
+  "active_helper_lanes": 167832,
+  "bank_families": 22680,
+  "maximum_auxiliary_padding_rank": 53,
+  "source_content_sha256": "7db047a427a7979d69e163c78a1e32bd445628fb86723e131a3138361355a9c3",
+  "parent_content_sha256": "b4a5f30a598f6201c3973ce7ddd059c09fa9086b353456b559ed7b6ebebaec5d",
+  "controls_rejected": [
+    {
+      "name": "missing_fifth_lane",
+      "reason": "Lifted call inventory"
+    },
+    {
+      "name": "bank_group_alias",
+      "reason": "Literal mapped owner route"
+    },
+    {
+      "name": "missing_complement_axis",
+      "reason": "Exact residual complement"
+    },
+    {
+      "name": "stale_complement_rank",
+      "reason": "Exact residual complement"
+    },
+    {
+      "name": "old_idle_multiplicity",
+      "reason": "Data idle multiplicity"
+    },
+    {
+      "name": "missing_sweep_replica",
+      "reason": "Lifted source-event semantics"
+    },
+    {
+      "name": "private_alias",
+      "reason": "Private namespace translation"
+    },
+    {
+      "name": "short_final_correction",
+      "reason": "Final correction namespace"
+    }
+  ],
+  "input_sha256": {
+    "source": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "parent": "378d81d3fc38ac1a8cb8d54bf748ecda355c21f4e07f34c09709f1b4d9fcfbab"
+  }
+}
diff --git a/research/mixed-demotions-t37/evidence/PRICE.json b/research/mixed-demotions-t37/evidence/PRICE.json
new file mode 100644
index 0000000000..f13194611b
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/PRICE.json
@@ -0,0 +1 @@
+{"kappa":"1675672695827067/1000000000000000000","kappa_decimal":"0.001675672695827067","outer":[{"binding":"complex","bit_c":"1733427039589844234749/1000000000000000000000000","complex_b":"167848528779417184507/100000000000000000000000","controls_rejected":["next_grid","zero_eta","zero_beta","unit_beta"],"kappa":"1675672695827067/1000000000000000000","kappa_decimal":"0.001675672695827067","strict_constraints_passed":47},{"binding":"complex","bit_c":"1733427039589844234749/1000000000000000000000000","complex_b":"1678485287794171845071/1000000000000000000000000","controls_rejected":["next_grid","zero_eta","zero_beta","unit_beta"],"kappa":"1675672695827067/1000000000000000000","kappa_decimal":"0.001675672695827067","strict_constraints_passed":47}],"profile":{"1":785550,"2":167498,"3":138028,"4":42458,"5":27306,"8":2664,"48":11374},"provider_call_counts":{"demote3":125,"demote4":208},"root":{"lower":"0.00167848528779417184507","lower_endpoint_residual_upper":"-1.069351736589421044442949068274776347065265159260833934734968043471701E-25","moment_minus_one_at_current_k_required_rate":["-0.002869471310105852475544835587786122354087159635736343502742596161123202","-0.002869471310105852475544835587786122354087159635736343502742596161049018"],"nominal_k_ceiling_interval":["0.001675672695827067713539892157071079697339381473540608674787530242060807","0.001675672695827067713540888808533567026744306987435112296261176249809170"],"strict_rational_signs":true,"upper":"0.001678485287794171845071","upper_endpoint_residual_lower":"2.816742062601264700146598580589613332091429668572318441282191717080963E-24"},"scope":"Arithmetic for the nominated mixed profile; geometry and full invoice require separate admission. No optimality claim.","signs":{"lower":{"atanh":["-13367/125000000000000000000000000000","-21387/200000000000000000000000000000"],"mercator":["-1441483289343785538030799499761762428340655/13479973333575319897333507543509815336818572211270286240551805124608","-720741644671892769015399749880881214170327/6739986666787659948666753771754907668409286105635143120275902562304"],"point":"167848528779417184507/100000000000000000000000"},"upper":{"atanh":["1408371/500000000000000000000000000000","2816743/1000000000000000000000000000000"],"mercator":["37969607891424992524321121942360634395873535/13479973333575319897333507543509815336818572211270286240551805124608","148318780825878877048129382587346228108881/52656145834278593348959013841835216159447547700274555627155488768"],"point":"1678485287794171845071/1000000000000000000000000"}},"status":"PASS_TWO_ENGINE_MIXED_PROFILE_AND_OUTER47"}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/RAW-demote3.json b/research/mixed-demotions-t37/evidence/RAW-demote3.json
new file mode 100644
index 0000000000..e69db49e87
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/RAW-demote3.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "JOINT-WORD.json.gz",
+  "content_sha256": "1f66640293bde6c7e1df2d4ee0004c2de2327887a98575c5d975d6a14a8b7e74",
+  "compressed_sha256": "a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718",
+  "parent_center_interface": {
+    "parent_path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/CANONICAL-WORD.json.gz",
+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "transport_tau": 43,
+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
+      92,
+      57,
+      81,
+      224,
+      11,
+      240,
+      9,
+      256
+    ],
+    "source_centers": [
+      92,
+      57,
+      81,
+      11,
+      9
+    ],
+    "ordered_frame_bases": [
+      [
+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        64,
+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
+        128,
+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        68,
+        32,
+        16,
+        12,
+        2,
+        1
+      ]
+    ]
+  },
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "entering": 192,
+  "lowends": 78,
+  "coldends": 48,
+  "compensation_gates": 7208,
+  "local_profile": {
+    "1": 2364,
+    "2": 498,
+    "3": 412,
+    "4": 130,
+    "5": 82,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 44,
+    "5": 44,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "checked_columns": 704,
+  "elapsed_seconds": 0.684210145031102,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/mixed-demotions-t37/evidence/RAW-demote4.json b/research/mixed-demotions-t37/evidence/RAW-demote4.json
new file mode 100644
index 0000000000..93a7961813
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/RAW-demote4.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "FOUR-WORD.json.gz",
+  "content_sha256": "7ad38f1773ca482277e2e32eac488f0ac59c2bbb3070097739da286faaaabcf3",
+  "compressed_sha256": "f9d9e74ea4ce7a3d3bdac3e559f39065a8d153b7d8f2299dbf1ff90471846c60",
+  "parent_center_interface": {
+    "parent_path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/CANONICAL-WORD.json.gz",
+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "transport_tau": 43,
+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
+      92,
+      57,
+      81,
+      224,
+      11,
+      240,
+      9,
+      256
+    ],
+    "source_centers": [
+      92,
+      57,
+      81,
+      11,
+      9
+    ],
+    "ordered_frame_bases": [
+      [
+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        64,
+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
+        128,
+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        68,
+        32,
+        16,
+        12,
+        2,
+        1
+      ]
+    ]
+  },
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "entering": 192,
+  "lowends": 78,
+  "coldends": 48,
+  "compensation_gates": 7208,
+  "local_profile": {
+    "1": 2356,
+    "2": 506,
+    "3": 416,
+    "4": 126,
+    "5": 82,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 40,
+    "5": 48,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "checked_columns": 704,
+  "elapsed_seconds": 0.6569505339721218,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/mixed-demotions-t37/evidence/REPLAY-SOURCE.json b/research/mixed-demotions-t37/evidence/REPLAY-SOURCE.json
new file mode 100644
index 0000000000..4890f180c7
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/REPLAY-SOURCE.json
@@ -0,0 +1,82 @@
+{
+  "ancestry": "Fresh verify_frontier799.py run earlier in this session; complete source/log/artifact and fixed coverage rechecks during this replay.",
+  "command": "OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 MKL_NUM_THREADS=1 CPLUS_INCLUDE_PATH=/tmp/intmult-boost/usr/include BOOST_INCLUDE=/tmp/intmult-boost/usr/include nice -n 15 ionice -c 3 /tmp/intmult-contribution-venv/bin/python -B research/mixed-demotions-t37/verify.py --work /home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2 --ancestry799 /home/jeremydiviney/intmult/build/contribution/demotions-t37-search/baseline799-cold3",
+  "exit_code": 0,
+  "new_artifacts_and_documentation_only": true,
+  "receipts": {
+    "ANCESTRY.json": "cd880b2d1c2fb8d9050458bd13f228385c417a95e4d1985607d9f4bb60b5c109",
+    "ENTRANCE-CONTROLS.json": "7b101dd97c1025667fb3615930a9d6cd2ec443169d263a3bc1191b80fc712a1f",
+    "FLOW-CONTROLS.json": "43fe7e94bd72607d502ed947ac1463405be18728eb0b8faabd7ba63ab1d28ab4",
+    "INDEPENDENT-OWNERS.json": "4c295ff53f51631e1720b0dc2ea895c34861435fa92112ee52439e4569de968a",
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+  },
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+}
diff --git a/research/mixed-demotions-t37/evidence/RESULT.json b/research/mixed-demotions-t37/evidence/RESULT.json
new file mode 100644
index 0000000000..66b084900c
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/RESULT.json
@@ -0,0 +1 @@
+{"ancestry_sha256":"cd880b2d1c2fb8d9050458bd13f228385c417a95e4d1985607d9f4bb60b5c109","calls":333,"complex_profile":{"1":785550,"2":167498,"3":138028,"4":42458,"48":11374,"5":27306,"8":2664},"controls":{"admission":114,"bit_supplier":12,"controller":23},"entrance_controls":11,"flow_controls":8,"independent_owner_controls":8,"kappa":"1675672695827067/1000000000000000000","kappa_decimal":"0.001675672695827067","native_providers":2,"prefix_bits":775,"price_sha256":"a1dac219b019f8d40d5b434b0e0c25b0d1f097fe5ae13eae45c76869aec4758b","roles":159840,"row_coefficient":17495,"scope":"Finite conditional construction under the retained compiler, whole-call hosting, common-label/mutable-source realization, precision/tape, analytic-transfer and bitH1-H5 hypotheses. No unconditional theorem or kappa=1 claim.","source_pins":{"dependencies":1902,"dependency_manifest_sha256":"c9330aa6a4226c804060499429cb450820d7142ab17696eb47408b04b410b5bc","manifest_sha256":"7fa3814b679f4d74137bb49262da62926cddc0585068fef5ff36514cf591bf84","retained":{"dependencies_sha256":"0160ea2677cc9ceeb0f861dc2774d470a27cbaa58b8fd6c064cf0683d18f3e87","manifest_sha256":"38907d05fddac9be6bf7a7aff47fae43114a055d2259cead5651a08f9b983820","predecessor":{"dependencies_sha256":"7c47d44e8d5c24aa80afc70724e7c0381fec57ef80d085d2ee4611726a0f1254","manifest_sha256":"663a4300ec3abe2278ac6c8e49dd13dc58694c33bfadaa278c5406539e113a31"}}},"stages":[{"exit_code":0,"log_sha256":"71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a","name":"bind","seconds":0.733},{"exit_code":0,"log_sha256":"073c4977498d10a7fc4666c2822da1052cf471ee8fe7b5e70c238a3e28bc5470","name":"emit","seconds":16.986},{"exit_code":0,"log_sha256":"028d1a2486ac64cba41d03320ccdf3bcff24c62a96bbbe629d55b28c02aeba9f","name":"audit","seconds":62.14},{"exit_code":0,"log_sha256":"a106277fad6e24fcb7fe6f1d454ac4c75c5dac993caff32d21c530355eb5b118","name":"invoice","seconds":1.42},{"exit_code":0,"log_sha256":"09963e62284914b6a61aa41e03b9bf62c745b9eae12a4a78bf3de18eec366274","name":"assembly","seconds":0.228},{"exit_code":0,"log_sha256":"40f0c35552fb10f02288ae8d2c6b9f902050fb370c0a19b7b88c977d0d44dab1","name":"admission-controls","seconds":0.469},{"exit_code":0,"log_sha256":"d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67","name":"bit-controls","seconds":0.443}],"status":"PASS_MIXED_JOINT_ENTRANCES_T37_COMPLETE_ADMISSION","steps":[{"exit_code":0,"log_sha256":"b42175653d0f799f6b9c18b399d7a5eed119a94fce113d84cec3f5c1a5f83bd1","name":"raw-demote3","seconds":0.716},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote3","seconds":102.18},{"exit_code":0,"log_sha256":"4c91cf7a4b56e69368c9a4948146e86a723e2f6bf5806213018fe16888483b8c","name":"raw-demote4","seconds":0.686},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote4","seconds":101.238},{"exit_code":0,"log_sha256":"a4ded37f2994ee242102a5ad1765673bb73be2a9d232132e4a44cd91a3d9525e","name":"entrance-controls","seconds":5.684},{"exit_code":0,"log_sha256":"ec8c339a452fecb7b455305c7faea42110cd69dcbee240e110f825178b0d23b4","name":"owners","seconds":4.093},{"exit_code":0,"log_sha256":"efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96","name":"parent","seconds":16.211}]}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/STAGES.json b/research/mixed-demotions-t37/evidence/STAGES.json
new file mode 100644
index 0000000000..7a61aea81b
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/STAGES.json
@@ -0,0 +1 @@
+[{"exit_code":0,"log_sha256":"b42175653d0f799f6b9c18b399d7a5eed119a94fce113d84cec3f5c1a5f83bd1","name":"raw-demote3","seconds":0.716},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote3","seconds":102.18},{"exit_code":0,"log_sha256":"4c91cf7a4b56e69368c9a4948146e86a723e2f6bf5806213018fe16888483b8c","name":"raw-demote4","seconds":0.686},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote4","seconds":101.238},{"exit_code":0,"log_sha256":"a4ded37f2994ee242102a5ad1765673bb73be2a9d232132e4a44cd91a3d9525e","name":"entrance-controls","seconds":5.684},{"exit_code":0,"log_sha256":"ec8c339a452fecb7b455305c7faea42110cd69dcbee240e110f825178b0d23b4","name":"owners","seconds":4.093},{"exit_code":0,"log_sha256":"efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96","name":"parent","seconds":16.211}]
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/WORD-RECIPE.json b/research/mixed-demotions-t37/evidence/WORD-RECIPE.json
new file mode 100644
index 0000000000..2d7a2cfe11
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/WORD-RECIPE.json
@@ -0,0 +1 @@
+{"content_sha256":"7ad38f1773ca482277e2e32eac488f0ac59c2bbb3070097739da286faaaabcf3","recipe_sha256":"384b32c5b0e9b3baa1c7232db884809596d30fc55553094245f7b739b1a43484","source_sha256":"a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718","status":"PASS_FROZEN_FOUR_ENTRANCE_RECIPE"}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/constructed/CONSTRUCTION.json b/research/mixed-demotions-t37/evidence/constructed/CONSTRUCTION.json
new file mode 100644
index 0000000000..0cf04bc2bd
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/constructed/CONSTRUCTION.json
@@ -0,0 +1 @@
+{"bins":74592,"flow_edges":2692,"inputs":{"/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote3/local/CANONICAL-WORD.json.gz":"c35ae25e495c53273a26102338c43de2ac7d3044fdead25b619c0bebc0e5cbff","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/demote4/local/CANONICAL-WORD.json.gz":"0f4045b78efc4fd5c1cb5c840f13e5e4b0139a3683d86cced5c8a38dd972723d","/home/jeremydiviney/intmult/build/contribution/demotions-t37-search/package-fresh2/retained1042/slots/global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz":"ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b","/home/jeremydiviney/intmult/build/contribution/three-demotions-t37/research/mixed-demotions-t37/data/FLOW.json.gz":"e8e6dfa66e083ff8f3617a8441b5b2d766c3c9d9ac62ddc37d99edc24051f79e","/home/jeremydiviney/intmult/build/contribution/three-demotions-t37/research/mixed-demotions-t37/data/MIX.json":"dd86bbb792a5c9f0d7507d55bd2f8392c66716023934b03b24f48ca737204eea","/home/jeremydiviney/intmult/build/contribution/three-demotions-t37/research/mixed-demotions-t37/data/ORDER.json":"7757df3b54ca5e84c6dba9563b10bc6215c5e289313392b5a4b493179a245c29"},"owner_content_sha256":"199fb748b620d115431e183bb459366356774c39bffcdd3e2d6f7d385b6ad888","roles":159840,"schedule_content_sha256":"abf412dfeef81c5cc0ff72a67d76014379f00516c599635eba69b1f8a8409423","status":"PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING","windows":666}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/demote3/STEPS.json b/research/mixed-demotions-t37/evidence/demote3/STEPS.json
new file mode 100644
index 0000000000..8cc601117a
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/STEPS.json
@@ -0,0 +1,27 @@
+[
+  {
+    "step": "native",
+    "exit_code": 0,
+    "seconds": 0.967179119004868
+  },
+  {
+    "step": "ledgers",
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+    "seconds": 0.626411936013028
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+    "seconds": 5.281459114979953
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+  {
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+    "seconds": 1.4632062399759889
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+  {
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+    "seconds": 93.82209738797974
+  }
+]
diff --git a/research/mixed-demotions-t37/evidence/demote3/local/CLIFFORD-REVIEW.json b/research/mixed-demotions-t37/evidence/demote3/local/CLIFFORD-REVIEW.json
new file mode 100644
index 0000000000..55e5a18c9a
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/local/CLIFFORD-REVIEW.json
@@ -0,0 +1,19 @@
+{
+  "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES",
+  "canonical_word_sha256": "c35ae25e495c53273a26102338c43de2ac7d3044fdead25b619c0bebc0e5cbff",
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+    "4": 121,
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+  "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations."
+}
diff --git a/research/mixed-demotions-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json b/research/mixed-demotions-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json
new file mode 100644
index 0000000000..6c6d8d5188
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json
@@ -0,0 +1,71 @@
+{
+  "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY",
+  "canonical_word_sha256": "c35ae25e495c53273a26102338c43de2ac7d3044fdead25b619c0bebc0e5cbff",
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+  "v": 112,
+  "helpers": 480,
+  "local": {
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+      "prefix_l1_upper": "2765345294379392599/1024",
+      "prefix_bits_upper": 52,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
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+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    }
+  },
+  "paid_profiles": {
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+    }
+  },
+  "entering_helpers": 192,
+  "cold_hyperplane_ended_helpers": 48,
+  "negative_controls_rejected": [
+    "wrong_scale",
+    "missing_center",
+    "wrong_common_frame",
+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register",
+    "hpe_pre_wrapper_resolved_to_full_recipe",
+    "hpe_post_wrapper_without_terminal_frame",
+    "hpe_post_wrapper_wrong_terminal_frame",
+    "hpe_tail_gate_at_full_frame",
+    "hpe_tail_climb_dropped",
+    "hpe_helper_exit_adapter_to_full",
+    "hpe_tail_gate_moved_into_full_cleanup",
+    "cold_hpe_pre_wrapper_replaced_by_identity_entry_adapter",
+    "cold_hpe_pre_wrapper_dropped",
+    "cold_hpe_post_wrapper_replaced_by_exit_adapter",
+    "cold_hpe_pre_wrapper_resolved_to_cold_full_convention",
+    "cold_hpe_wrapper_with_nonzero_entrance",
+    "cold_hpe_post_wrapper_wrong_terminal_frame",
+    "cold_hpe_premix_gate_before_pre_wrapper"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
diff --git a/research/mixed-demotions-t37/evidence/demote3/local/LOCAL-CHECKS.json b/research/mixed-demotions-t37/evidence/demote3/local/LOCAL-CHECKS.json
new file mode 100644
index 0000000000..17cb61022e
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/local/LOCAL-CHECKS.json
@@ -0,0 +1,36 @@
+{
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+    },
+    "all_columns": 704,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  },
+  "backward": {
+    "sha256": "4e289cbf4c3a069540aae0134b932dde2be4aee5e7f7e19206d9a923055eea9f",
+    "events": 24767,
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+    "real_component_primitive_bound": 198814,
+    "paid_profile": {
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+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  }
+}
diff --git a/research/mixed-demotions-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json b/research/mixed-demotions-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json
new file mode 100644
index 0000000000..1c65e741a6
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json
@@ -0,0 +1,712 @@
+{
+  "status": "PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES",
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+  "canonical_content_sha256": "9885ff29b54f8d2de67d58d68e40a48b7897530d565f932fe63534caa3b405c9",
+  "live_columns_each_orientation": 704,
+  "helpers": 480,
+  "compensation_additions": 7208,
+  "scalar_operations": 19669,
+  "center_rank_sum": 64,
+  "local_profile": {
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+    "2": 498,
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+    "4": 130,
+    "5": 82,
+    "8": 8
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+  "refactored_cleanup_gates": 6796,
+  "refactored_cleanup": {
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+    "forward_absorptions": 0,
+    "high_inverse": "dyadic_sparse_Gauss_Jordan",
+    "kind": "source_branch_gauge_and_retired_completion_cold44",
+    "lower_frame_gates": 81,
+    "new_cold_ends": 32,
+    "premix_gates": 1190,
+    "premix_target_writes": 0
+  }
+}
diff --git a/research/mixed-demotions-t37/evidence/demote3/local/WRAPPER-CHECKS.json b/research/mixed-demotions-t37/evidence/demote3/local/WRAPPER-CHECKS.json
new file mode 100644
index 0000000000..31af707df8
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote3/local/WRAPPER-CHECKS.json
@@ -0,0 +1,421 @@
+{
+ "status": "PASS_RESIDUAL_WRAPPERS_ARE_EXACT",
+ "frames": 22,
+ "hyperplane_end_pairs": [
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+  {
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+   "residual_width": 4
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+  {
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+   "entrance_rank": 0,
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+   "residual_width": 4
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+  {
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+  {
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+  },
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+  {
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+ ],
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+ "wrappers_reject": [
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+  "hpe: U-wrapper decoded against a FULL ending",
+  "hpe: width misreported as 9 - dim E",
+  "hpe: wrong terminal hyperplane",
+  "hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}",
+  "hpe: wrong global phase",
+  "cold hpe: identity pre wrapper instead of R_{0,U}",
+  "cold hpe: identity post wrapper instead of L_{0,U}",
+  "cold hpe: no wrappers (cold FULL convention L = R = I)",
+  "cold hpe: U-wrapper decoded against a FULL ending",
+  "cold hpe: width misreported as 9",
+  "cold hpe: wrong terminal hyperplane",
+  "cold hpe: wrong global phase"
+ ],
+ "all_even_weight": false,
+ "all_totally_isotropic": false,
+ "detail": [
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diff --git a/research/mixed-demotions-t37/evidence/demote4/STEPS.json b/research/mixed-demotions-t37/evidence/demote4/STEPS.json
new file mode 100644
index 0000000000..2970cdee0e
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote4/STEPS.json
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+[
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diff --git a/research/mixed-demotions-t37/evidence/demote4/local/CLIFFORD-REVIEW.json b/research/mixed-demotions-t37/evidence/demote4/local/CLIFFORD-REVIEW.json
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index 0000000000..c3fbd05a8c
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote4/local/CLIFFORD-REVIEW.json
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+{
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diff --git a/research/mixed-demotions-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json b/research/mixed-demotions-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json
new file mode 100644
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+++ b/research/mixed-demotions-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json
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index 0000000000..cf60ade416
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+++ b/research/mixed-demotions-t37/evidence/demote4/local/SCALAR-FRAME-AUDIT.json
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+    453,
+    454,
+    455,
+    484,
+    485,
+    498,
+    500,
+    501,
+    508,
+    509,
+    510,
+    512,
+    513,
+    531,
+    532,
+    533,
+    543,
+    554,
+    555,
+    556,
+    557,
+    566,
+    567,
+    572,
+    573,
+    574,
+    575,
+    580,
+    581,
+    582,
+    583,
+    584,
+    585,
+    586,
+    587,
+    588,
+    589,
+    590,
+    591
+  ],
+  "early_cleanup_gates": 116,
+  "cold_hyperplane_ended_helpers": [
+    273,
+    275,
+    277,
+    282,
+    289,
+    291,
+    293,
+    298,
+    305,
+    307,
+    309,
+    311,
+    314,
+    321,
+    323,
+    325,
+    327,
+    330,
+    337,
+    339,
+    341,
+    346,
+    353,
+    355,
+    357,
+    362,
+    369,
+    371,
+    373,
+    378,
+    385,
+    387,
+    389,
+    394,
+    498,
+    500,
+    501,
+    510,
+    512,
+    513,
+    572,
+    573,
+    574,
+    575,
+    580,
+    581,
+    582,
+    583
+  ],
+  "refactored_cleanup_gates": 6796,
+  "refactored_cleanup": {
+    "cold_low_frame_ended_helpers": [
+      273,
+      275,
+      277,
+      282,
+      289,
+      291,
+      293,
+      298,
+      305,
+      307,
+      309,
+      311,
+      314,
+      321,
+      323,
+      325,
+      327,
+      330,
+      337,
+      339,
+      341,
+      346,
+      353,
+      355,
+      357,
+      362,
+      369,
+      371,
+      373,
+      378,
+      385,
+      387,
+      389,
+      394,
+      498,
+      500,
+      501,
+      510,
+      512,
+      513,
+      572,
+      573,
+      574,
+      575,
+      580,
+      581,
+      582,
+      583
+    ],
+    "construction": "; G44Stack premix-only factored entering ends 554,555,566,567 (start frame [24]); G44Stack premix-only factored entering ends 586,588,531,543 (start frame [30]); CarrierBypass premix-only factored cold ends 513,574,575,573,581,582; CarrierBypass premix-only factored cold ends 572,583,580,512; CarrierBypass premix-only factored cold ends 500,501,311,498,510,327",
+    "entering_low_frame_ended_helpers": [
+      531,
+      543,
+      554,
+      555,
+      566,
+      567,
+      586,
+      588
+    ],
+    "exact_non_target_isolation_checked": true,
+    "forward_absorption_A_indices": [],
+    "forward_absorptions": 0,
+    "high_inverse": "dyadic_sparse_Gauss_Jordan",
+    "kind": "source_branch_gauge_and_retired_completion_cold44",
+    "lower_frame_gates": 81,
+    "new_cold_ends": 32,
+    "premix_gates": 1190,
+    "premix_target_writes": 0
+  }
+}
diff --git a/research/mixed-demotions-t37/evidence/demote4/local/WRAPPER-CHECKS.json b/research/mixed-demotions-t37/evidence/demote4/local/WRAPPER-CHECKS.json
new file mode 100644
index 0000000000..cff98fdc0a
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/demote4/local/WRAPPER-CHECKS.json
@@ -0,0 +1,420 @@
+{
+ "status": "PASS_RESIDUAL_WRAPPERS_ARE_EXACT",
+ "frames": 22,
+ "hyperplane_end_pairs": [
+  {
+   "frame": 0,
+   "terminal": 129,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 158,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 187,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 215,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 243,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 271,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 299,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 327,
+   "entrance_rank": 0,
+   "terminal_rank": 4,
+   "residual_width": 4
+  },
+  {
+   "frame": 0,
+   "terminal": 1000,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1001,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1002,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1003,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1004,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1005,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1006,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1007,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 2,
+   "terminal": 999,
+   "entrance_rank": 1,
+   "terminal_rank": 8,
+   "residual_width": 7
+  },
+  {
+   "frame": 3,
+   "terminal": 998,
+   "entrance_rank": 1,
+   "terminal_rank": 8,
+   "residual_width": 7
+  }
+ ],
+ "cold_hyperplane_end_pairs": 16,
+ "wrappers_reject": [
+  "wrong global phase",
+  "wrong translation",
+  "wrong quadratic form",
+  "sides swapped",
+  "wrong width",
+  "hpe: U-wrapper decoded against a FULL ending",
+  "hpe: width misreported as 9 - dim E",
+  "hpe: wrong terminal hyperplane",
+  "hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}",
+  "hpe: wrong global phase",
+  "cold hpe: identity pre wrapper instead of R_{0,U}",
+  "cold hpe: identity post wrapper instead of L_{0,U}",
+  "cold hpe: no wrappers (cold FULL convention L = R = I)",
+  "cold hpe: U-wrapper decoded against a FULL ending",
+  "cold hpe: width misreported as 9",
+  "cold hpe: wrong terminal hyperplane",
+  "cold hpe: wrong global phase"
+ ],
+ "all_even_weight": false,
+ "all_totally_isotropic": false,
+ "detail": [
+  {
+   "frame": 2,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    30
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 3,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    51
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 9,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    459
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 10,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    75
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 11,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    102
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 12,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    120
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 13,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    85
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 423,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
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+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 424,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+    72,
+    48,
+    3
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 425,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+    66,
+    36,
+    9
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 426,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    455,
+    33,
+    18,
+    12
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 427,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    258,
+    130,
+    85,
+    45
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 428,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    264,
+    136,
+    85,
+    51
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 429,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    427,
+    96,
+    24,
+    6
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 430,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    423,
+    65,
+    20,
+    10
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 431,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    257,
+    129,
+    102,
+    30
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 432,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    68,
+    34,
+    17,
+    8
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 433,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    80,
+    40,
+    5,
+    2
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 434,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    144,
+    75,
+    42,
+    7
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 435,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    320,
+    192,
+    45,
+    30
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 436,
+   "entrance_rank": 5,
+   "residual_width": 4,
+   "vectors": [
+    288,
+    160,
+    75,
+    25,
+    7
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 437,
+   "entrance_rank": 5,
+   "residual_width": 4,
+   "vectors": [
+    260,
+    132,
+    75,
+    42,
+    25
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  }
+ ]
+}
diff --git a/research/mixed-demotions-t37/evidence/t37/ADAPTATIONS.json b/research/mixed-demotions-t37/evidence/t37/ADAPTATIONS.json
new file mode 100644
index 0000000000..9cc5b19996
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/ADAPTATIONS.json
@@ -0,0 +1 @@
+{"build_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"1abe52762662403d138eb4095ac018b9aef93cfbadc7e0197c47e4618ab67bfd","source_sha256":"0b5a66641494e934e3e032982c31aa561b89975d6673e7db257f4efdf5b8c921"},"check_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"acca24d7bd255c6643a848677eacc5f3aa6ce90dea9aadeb54c97e1d3be4ed4f","source_sha256":"0e158551680b06a7a3f4599b4dcb74bcfcb7f1e94fcaf9a46c9b7a95d1200a6e"},"runtime/assemble.py":{"description_edits":[["the gauge44-barch U8 local word and all 72 cold helper ends","the mixed joint-entrance three- and four-demotion k8 local words",1],["explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade","explicit 333-call wave dispatch with frozen integer pattern flows",1],["This is a new T37 composition of the PR870 U8 and PR589 suppliers.","This is a new T37 composition of the mixed joint-entrance three- and four-demotion k8 and PR589 suppliers.",1]],"edits":[["owner['hosted_residuals']==144*R","owner['hosted_residuals']==333*R",1],["invoice['bridge_sweeps']==144","invoice['bridge_sweeps']==333",1],["data_and_owner_families=14336","data_and_owner_families=33152",1],["len(calls)==144","len(calls)==333",1],["for r in range(16)","for r in range(37)",1],["parent_live,parent_physical,parent_idle=23408,23922,32256","parent_live,parent_physical,parent_idle=55832,56346,74592",1],["parent_live-2*112*4*16","parent_live-2*112*4*37",1],["bridges,shifts=2*112*144,4*112*16","bridges,shifts=2*112*333,4*112*37",1],["4*112*16*9+2*112*16*9+2*144*R","4*112*37*9+2*112*37*9+2*333*R",1],["(144*invoice['local_adapters']","(333*invoice['local_adapters']",1],["+37+144+144+4","+37+333+333+4",1],["owner['deficit']==5120","owner['deficit']==11840",1],[",conservative_b,5120,True)",",conservative_b,11840,True)",1],[",b,5120,False)",",b,11840,False)",1],["explicit all144 whole-owner dispatch with a two-copy remainder trade","explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade",1],["This is a new T16 composition of the accepted PR799 and PR589 suppliers.","This is a new T37 composition of the PR870 U8 and PR589 suppliers.",1],["two independent bank groups, each with R0=504 helpers; restored private workspace is shared","five bank groups with 8,8,8,8,5 lanes, each with R0=504 helpers; restored private workspace is shared",1],["invoice['charged_prefix_bits']==512","invoice['charged_prefix_bits']==1024",1],["invoice['row_prefix_extra']==1024","invoice['row_prefix_extra']==2048",1],["2*stock.bit_length()+9909+252+1024","2*stock.bit_length()+9909+252+2048",1],["(4+512)","(4+1024)",2]],"generated_sha256":"76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe","source_sha256":"15f6986a476bac76bcdc0bfcf51da115389b46f1950d2766b6822f757888b13a"},"runtime/assembly_controls.py":{"description_edits":[],"edits":[["1 + 37 + 144 + 144 + 4","1 + 37 + 333 + 333 + 4",1]],"generated_sha256":"29ba6742d899d2318a96745c8ec21de06ba3968d4641c3400a15bc714e0d7f9e","source_sha256":"da7e981ae1b9f099d4e1524cb4f3ba1116011936ebe378692889b5dbfa99029d"},"runtime/audit_allcold.py":{"description_edits":[],"edits":[[";T=16;",";T=37;",1],["CALLS=144","CALLS=333",1],["==144","==333",3],["range(16)","range(37)",2],["0<=r<16","0<=r<37",1],["0<=e['time']<144","0<=e['time']<333",1],["==5120","==11840",1],["deficit=5120","deficit=11840",2],["invocations=144","invocations=333",1]],"generated_sha256":"a8d3c48e26957c5174ea35043545d3863a4c19c82422074ac42132b446533b4a","source_sha256":"1467a2acb654e62552c69fb9a7c4c85f70a02120881d222313865058ab71a6cc"},"runtime/bind_providers_portable.py":{"description_edits":[],"edits":[],"generated_sha256":"1d39bcc7b63ac158e021454beaae897d123e174360573762aecade3cd43193f6","source_sha256":"1d39bcc7b63ac158e021454beaae897d123e174360573762aecade3cd43193f6"},"runtime/bit_supplier_controls.py":{"description_edits":[],"edits":[],"generated_sha256":"e6d33fb61a570c3f50669412acc467a3fd06ef0b806da6a75bc296c6ba2142a5","source_sha256":"e6d33fb61a570c3f50669412acc467a3fd06ef0b806da6a75bc296c6ba2142a5"},"runtime/emit_allcold.py":{"description_edits":[],"edits":[["==144","==333",3],[";T=16;",";T=37;",1],["==5120","==11840",1],["deficit=5120","deficit=11840",1]],"generated_sha256":"3219e0706d497a2e6b595cec0a0d5bdbfbd1d991bf70136762eada44126a9ac1","source_sha256":"354367e1fd6185a67b04f4268bcae4d502e47b18cb2131e247f5bcab5b3a769e"},"runtime/freeze_spec.py":{"description_edits":[["spec['expected']['assembly_controls_rejected'] = 69","spec['expected']['assembly_controls_rejected'] = 114",1],["spec['expected']['provider_counts'] = {'gauge44':333}","spec['expected']['provider_counts'] = dict(__import__('collections').Counter(pid for s,r,pid in spec['dispatch']))",1],["spec['expected']['mutations_rejected'] = 15","spec['expected']['mutations_rejected'] = 23",1]],"edits":[["{'gauge44':144}","{'gauge44':333}",1]],"generated_sha256":"4264e4992328a8f92563a8dcd92a5219de109fa58b8e48238e24c9c27494fd37","source_sha256":"5971eecac6d6fbcb53244b80f1b9d7232012dc32876fab511214a5addebbe6c2"},"runtime/generated_identity.py":{"description_edits":[],"edits":[],"generated_sha256":"c8af22719c0f3097a991a3f6ccac8f090afd2faba554745733d9ea88f2c25708","source_sha256":"c8af22719c0f3097a991a3f6ccac8f090afd2faba554745733d9ea88f2c25708"},"runtime/invoice_allcold.py":{"description_edits":[],"edits":[["stages,replicas,blocks_per_stream=9,16,4","stages,replicas,blocks_per_stream=9,37,4",1],["owners['deficit']==5120","owners['deficit']==11840",1],["all 144 invocation and 144 bridge sweeps","all 333 invocation and 333 bridge sweeps",1],["payload=512","payload=1024",1],["previous['charged_prefix_bits']==payload","previous['charged_prefix_bits']<=payload",1]],"generated_sha256":"e348dfdca722088144d3db2e619ab3369228011212f558ea1fe12514ff06877c","source_sha256":"71eb57514e28ced97251e0507105f654f59885ec4d40486a780bf166098858a8"},"runtime/prepare_global.py":{"description_edits":[],"edits":[],"generated_sha256":"8c0dae301a8f34b77a5a462f840952d08ed120576212adf5051bc09bcad874dc","source_sha256":"8c0dae301a8f34b77a5a462f840952d08ed120576212adf5051bc09bcad874dc"},"runtime/restore_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"69b7b25ff85e9b8160e233c1d415cc6a0272019e5c486dcec14cb6c349e7024d","source_sha256":"69b7b25ff85e9b8160e233c1d415cc6a0272019e5c486dcec14cb6c349e7024d"},"runtime/witness.py":{"description_edits":[],"edits":[],"generated_sha256":"779c5172894b992131e85be1e592ed2a1aec8c287b872ff42007d36a7291e444","source_sha256":"779c5172894b992131e85be1e592ed2a1aec8c287b872ff42007d36a7291e444"}}
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/t37/strict/ADMISSION-CONTROLS.json b/research/mixed-demotions-t37/evidence/t37/strict/ADMISSION-CONTROLS.json
new file mode 100644
index 0000000000..352b9148e5
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/ADMISSION-CONTROLS.json
@@ -0,0 +1,147 @@
+{
+  "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS",
+  "valid_receipt_kappa": "1675672695827067/1000000000000000000",
+  "input_sha256": {
+    "owner_audit": "c64cb2197f98b123a55d30a47b0c8e251873d7635a4de4c13a5e34b2e9483996",
+    "fresh_invoice": "512e824c274a656f4d4e1e4fdf267d9c38aa1568169716cc833d2d3816d81516",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "assembler_sha256": "76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe",
+  "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",
+    "demote3:missing_provider",
+    "demote3:missing_backward_orientation",
+    "demote3:unpaid_scalar_primitive",
+    "demote3:wrong_local_artifact_binding",
+    "demote3:false_dirty_restoration",
+    "demote3:wrong_declared_provider_count",
+    "demote3:wrong_local_compiler",
+    "demote3:wrong_local_adapter_charge",
+    "demote3:wrong_local_primitive_bound",
+    "demote3:forged_provider_and_call_program_hash",
+    "demote3:provider_at_wrong_call",
+    "demote3:stale_partner_program_consistent_call_hashes",
+    "demote3:stale_partner_profile_consistent_child_total",
+    "demote3:relocated_against_partner_same_counts",
+    "demote3:compensating_false_profiles_with_demote4",
+    "demote3:synchronized_forged_source_recipe_hash",
+    "demote3:synchronized_forged_phase_review_semantics",
+    "demote3:width_order_swap_4_5",
+    "demote3:width_inventory_shift_4_5",
+    "demote3:width_order_swap_4_7",
+    "demote3:width_inventory_shift_4_7",
+    "demote3:width_order_swap_4_8",
+    "demote3:width_inventory_shift_4_8",
+    "demote3:width_order_swap_4_9",
+    "demote3:width_inventory_shift_4_9",
+    "demote3:width_order_swap_5_7",
+    "demote3:width_inventory_shift_5_7",
+    "demote3:width_order_swap_5_8",
+    "demote3:width_inventory_shift_5_8",
+    "demote3:width_order_swap_5_9",
+    "demote3:width_inventory_shift_5_9",
+    "demote3:width_order_swap_7_8",
+    "demote3:width_inventory_shift_7_8",
+    "demote3:width_order_swap_7_9",
+    "demote3:width_inventory_shift_7_9",
+    "demote3:width_order_swap_8_9",
+    "demote3:width_inventory_shift_8_9",
+    "demote3:cold_helper_width_swap_258",
+    "demote3:cold_helper_width_swap_270",
+    "demote3:cold_helper_width_swap_282",
+    "demote3:cold_helper_width_swap_294",
+    "demote4:missing_provider",
+    "demote4:missing_backward_orientation",
+    "demote4:unpaid_scalar_primitive",
+    "demote4:wrong_local_artifact_binding",
+    "demote4:false_dirty_restoration",
+    "demote4:wrong_declared_provider_count",
+    "demote4:wrong_local_compiler",
+    "demote4:wrong_local_adapter_charge",
+    "demote4:wrong_local_primitive_bound",
+    "demote4:forged_provider_and_call_program_hash",
+    "demote4:provider_at_wrong_call",
+    "demote4:stale_partner_program_consistent_call_hashes",
+    "demote4:stale_partner_profile_consistent_child_total",
+    "demote4:relocated_against_partner_same_counts",
+    "demote4:compensating_false_profiles_with_demote3",
+    "demote4:synchronized_forged_source_recipe_hash",
+    "demote4:synchronized_forged_phase_review_semantics",
+    "demote4:width_order_swap_4_5",
+    "demote4:width_inventory_shift_4_5",
+    "demote4:width_order_swap_4_7",
+    "demote4:width_inventory_shift_4_7",
+    "demote4:width_order_swap_4_8",
+    "demote4:width_inventory_shift_4_8",
+    "demote4:width_order_swap_4_9",
+    "demote4:width_inventory_shift_4_9",
+    "demote4:width_order_swap_5_7",
+    "demote4:width_inventory_shift_5_7",
+    "demote4:width_order_swap_5_8",
+    "demote4:width_inventory_shift_5_8",
+    "demote4:width_order_swap_5_9",
+    "demote4:width_inventory_shift_5_9",
+    "demote4:width_order_swap_7_8",
+    "demote4:width_inventory_shift_7_8",
+    "demote4:width_order_swap_7_9",
+    "demote4:width_inventory_shift_7_9",
+    "demote4:width_order_swap_8_9",
+    "demote4:width_inventory_shift_8_9",
+    "demote4:cold_helper_width_swap_258",
+    "demote4:cold_helper_width_swap_270",
+    "demote4:cold_helper_width_swap_282",
+    "demote4: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/mixed-demotions-t37/evidence/t37/strict/ASSEMBLY.json b/research/mixed-demotions-t37/evidence/t37/strict/ASSEMBLY.json
new file mode 100644
index 0000000000..426a579cd1
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/ASSEMBLY.json
@@ -0,0 +1,345 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "1675672695827067/1000000000000000000",
+  "kappa_decimal": "0.001675672695827067",
+  "complex_lower": "167848528779417184507/100000000000000000000000",
+  "complex_decimal": "0.00167848528779417184507",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "gain_over_pr635_percent": "0.06271251885330326695640374673054555480123926094453125996710067823137854",
+  "complex_profile": {
+    "1": 785550,
+    "2": 167498,
+    "3": 138028,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664,
+    "48": 11374
+  },
+  "provider_counts": {
+    "demote4": 208,
+    "demote3": 125
+  },
+  "surcharge_model": {
+    "complex": false,
+    "bit": true
+  },
+  "conservative_complex_lower": "839242642471071183683/500000000000000000000000",
+  "conservative_complex_decimal": "0.001678485284942142367366",
+  "conservative_kappa": "418918173246147/250000000000000000",
+  "conservative_kappa_decimal": "0.001675672692984588",
+  "conservative_moments": [
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "839242642471071183683/500000000000000000000000",
+      "accept": true,
+      "mercator": [
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+        "-50860089532824594124519744914685726177025927/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "-18865064223126902360271/10000000000000000000000000000000000000000000000",
+        "-1886505422312690236013/1000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "1678485284942142367367/1000000000000000000000000",
+      "accept": false,
+      "mercator": [
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+      "base_two": [
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+      ]
+    }
+  ],
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+    "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 mixed joint-entrance three- and four-demotion k8 local words, and explicit 333-call wave dispatch with frozen integer pattern flows 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 T37 composition of the mixed joint-entrance three- and four-demotion k8 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/mixed-demotions-t37/evidence/t37/strict/BIT-CONTROLS.json b/research/mixed-demotions-t37/evidence/t37/strict/BIT-CONTROLS.json
new file mode 100644
index 0000000000..5c02d02ae5
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/BIT-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS",
+  "kappa": "0.001675672695827067",
+  "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": "76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe"
+}
diff --git a/research/mixed-demotions-t37/evidence/t37/strict/STAGES.json b/research/mixed-demotions-t37/evidence/t37/strict/STAGES.json
new file mode 100644
index 0000000000..75e2f1d386
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/STAGES.json
@@ -0,0 +1 @@
+[{"exit_code":0,"log_sha256":"71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a","name":"bind","seconds":0.733},{"exit_code":0,"log_sha256":"073c4977498d10a7fc4666c2822da1052cf471ee8fe7b5e70c238a3e28bc5470","name":"emit","seconds":16.986},{"exit_code":0,"log_sha256":"028d1a2486ac64cba41d03320ccdf3bcff24c62a96bbbe629d55b28c02aeba9f","name":"audit","seconds":62.14},{"exit_code":0,"log_sha256":"a106277fad6e24fcb7fe6f1d454ac4c75c5dac993caff32d21c530355eb5b118","name":"invoice","seconds":1.42},{"exit_code":0,"log_sha256":"09963e62284914b6a61aa41e03b9bf62c745b9eae12a4a78bf3de18eec366274","name":"assembly","seconds":0.228},{"exit_code":0,"log_sha256":"40f0c35552fb10f02288ae8d2c6b9f902050fb370c0a19b7b88c977d0d44dab1","name":"admission-controls","seconds":0.469},{"exit_code":0,"log_sha256":"d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67","name":"bit-controls","seconds":0.443}]
\ No newline at end of file
diff --git a/research/mixed-demotions-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json
new file mode 100644
index 0000000000..1e70d3441a
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json
@@ -0,0 +1,100 @@
+{
+  "status": "PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS",
+  "template_sha256": "e54fd22df3a85657eccd091f39b24844207f6d36f230e789ddda0e3343b74bd4",
+  "complex_template_sha256": "e54fd22df3a85657eccd091f39b24844207f6d36f230e789ddda0e3343b74bd4",
+  "complex_live": 33152,
+  "complex_profile": {
+    "1": 785550,
+    "2": 167498,
+    "3": 138028,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664,
+    "48": 11374
+  },
+  "complex_hosted_residuals": 159840,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "entering_helper_roles": 79920,
+  "cross_replica_helper_roles": 148150,
+  "one_owner_per_complete_invocation": true,
+  "helper_busy_family_window_checks": 159840,
+  "complete_invocations": 333,
+  "actual_orthogonal_73column_maps": 11144,
+  "actual_sigma_stream_sha256": "dd8c8098c3389a46650db313b61e4921b050b356a175b1a4ab452929927b70cd",
+  "all_actual_residual_and_spectator_charts": true,
+  "idle_remainders": 11376,
+  "mutations_rejected": [
+    "alias two whole owners",
+    "helper on active data family",
+    "owner in private namespace",
+    "wrong residual width",
+    "wrong spectator coordinate",
+    "omit idle remainder",
+    "understate physical reserve",
+    "demote3: wrong provider at its invocation",
+    "demote3: stale per-call local program hash",
+    "demote3: stale serialized provider program",
+    "demote3: unbound residual adapter hash",
+    "demote3: partner width in provider width registry",
+    "demote3: wrong per-call residual width",
+    "demote3: wrong sweep provider",
+    "demote3: entering helper width silently restored to nine",
+    "demote4: wrong provider at its invocation",
+    "demote4: stale per-call local program hash",
+    "demote4: stale serialized provider program",
+    "demote4: unbound residual adapter hash",
+    "demote4: partner width in provider width registry",
+    "demote4: wrong per-call residual width",
+    "demote4: wrong sweep provider",
+    "demote4: entering helper width silently restored to nine"
+  ],
+  "mutation_controls_run": true,
+  "provider_phase_semantic_sha256": {
+    "demote3": "3ca5c207027b17a305206541c9792b73cd6e4c92dbb7ada0cb765882af9f4f9e",
+    "demote4": "06370f9c77ac8689bba3b883a0cc0378b7222d1a07265d10a90e3f380abe4577"
+  },
+  "provider_artifact_semantic_sha256": {
+    "demote3": {
+      "CANONICAL-WORD.json.gz": "9885ff29b54f8d2de67d58d68e40a48b7897530d565f932fe63534caa3b405c9",
+      "LOCAL-PROGRAMS.json.gz": "1c81387e144fe92eadc6296d44d3fd80e6f9573e0269cadaf591f75de0661eed",
+      "LOCAL-CHECKS.json": "36c5685b24037dcf3767fc7d8d48c308da50f754fc50a05d760e399dd275b045",
+      "INDEPENDENT-LOCAL-REPLAY.json": "4ffe4b6ea3a1e027ef67a519e92253286d5cb794155eea1d1bef940521521a5f",
+      "CLIFFORD-RECIPES.json": "c58d2bd3492a031820aec434661c9297fa41d810ad661c651f139e9b592c6a4a",
+      "CLIFFORD-REVIEW.json": "3ca5c207027b17a305206541c9792b73cd6e4c92dbb7ada0cb765882af9f4f9e",
+      "RESIDUAL-ADAPTERS.json": "d77ab0c3689e5c10f7129487a85d1497dd721e31138372b4a35913691fe5bc69"
+    },
+    "demote4": {
+      "CANONICAL-WORD.json.gz": "576ece8ed41adf7145607c12e07d6e461337b188340cda4272cbcf48472ef709",
+      "LOCAL-PROGRAMS.json.gz": "a7822ed2e402952991bce28b56b8183ff4f502f9599615b5806fc320f7e0c7a4",
+      "LOCAL-CHECKS.json": "32c93ab90b40b6add454199c48302c149cb35d21da7d27a801544cd45c853101",
+      "INDEPENDENT-LOCAL-REPLAY.json": "3a943a3c1756ff6643bdecd185cfaee43f040c882790f7392fc08cc9eab1f5e2",
+      "CLIFFORD-RECIPES.json": "5620aceef1d7bd7ce3a554ca2f36b8a78d1fdc150fe814a0d602e21d5fc2edae",
+      "CLIFFORD-REVIEW.json": "06370f9c77ac8689bba3b883a0cc0378b7222d1a07265d10a90e3f380abe4577",
+      "RESIDUAL-ADAPTERS.json": "91b1a723dd9ce73b87c183980e7f06c05f15a7453bd4efec282cb64fca063122"
+    }
+  },
+  "widths_by_provider": {
+    "demote3": {
+      "4": 44,
+      "5": 44,
+      "7": 38,
+      "8": 114,
+      "9": 240
+    },
+    "demote4": {
+      "4": 40,
+      "5": 48,
+      "7": 38,
+      "8": 114,
+      "9": 240
+    }
+  },
+  "provider_counts": {
+    "demote4": 208,
+    "demote3": 125
+  },
+  "all_provider_program_phase_and_wrapper_bindings": true,
+  "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations."
+}
diff --git a/research/mixed-demotions-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json
new file mode 100644
index 0000000000..06ce11cb39
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json
@@ -0,0 +1,68 @@
+{
+  "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE",
+  "template_sha256": "e54fd22df3a85657eccd091f39b24844207f6d36f230e789ddda0e3343b74bd4",
+  "paid_profile": {
+    "1": 785550,
+    "2": 167498,
+    "3": 138028,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664,
+    "48": 11374
+  },
+  "live": 33152,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "hosted_residuals": 159840,
+  "banked_residuals": 0,
+  "all_live_owners_per_call_distinct": true,
+  "owners_per_call": 704,
+  "actual_helper_owner_charts": 159840,
+  "actual_73column_sigmas": 11144,
+  "cross_replica_helper_roles": 148150,
+  "explicit_idle_remainder_children": 11376,
+  "source_idle_children_charged": 74592,
+  "source_artifacts": {
+    "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
+    "providers/demote3/CANONICAL-WORD.json.gz": "c35ae25e495c53273a26102338c43de2ac7d3044fdead25b619c0bebc0e5cbff",
+    "providers/demote3/LOCAL-PROGRAMS.json.gz": "9f1e1919d9daa4d130617ba777cc549f1de82f5fb3f55fc6632ad2656cc55af0",
+    "providers/demote3/LOCAL-CHECKS.json": "654ca95a7f9af260d088f29c1791686f54f66cbbe735b9ea2fd5114b377727aa",
+    "providers/demote3/INDEPENDENT-LOCAL-REPLAY.json": "2bcb926b433bfc223997efd5d7212899c850a1ddb204269589b1f3a7151d82c6",
+    "providers/demote3/RESIDUAL-ADAPTERS.json": "c099207d60ab49392bcadcaf7e9cbcfe01178e732f14e2591a8c3463162460d7",
+    "providers/demote3/CLIFFORD-RECIPES.json": "c58d2bd3492a031820aec434661c9297fa41d810ad661c651f139e9b592c6a4a",
+    "providers/demote3/CLIFFORD-REVIEW.json": "2ef79c2ed574a97c109906fc41f69793e19dd010c96240bd788907bbafdc818a",
+    "providers/demote4/CANONICAL-WORD.json.gz": "0f4045b78efc4fd5c1cb5c840f13e5e4b0139a3683d86cced5c8a38dd972723d",
+    "providers/demote4/LOCAL-PROGRAMS.json.gz": "41a721f749190ad4fecaae87e27c272dffbe70e9cd9e4bc786b7abe8aa4fd632",
+    "providers/demote4/LOCAL-CHECKS.json": "7bafc7964d527a1feb6fff01ca8018236aee7f4e9223926d612ed6ce3b72d756",
+    "providers/demote4/INDEPENDENT-LOCAL-REPLAY.json": "3aa0b38079d2af52e6f94cc9f128d7bbb776fccbe57aaad630a5054edb39dc48",
+    "providers/demote4/RESIDUAL-ADAPTERS.json": "4aa99dccfe367c32b79be0e99b40a8e9f6bcce57db250532d091040ae147dae1",
+    "providers/demote4/CLIFFORD-RECIPES.json": "5620aceef1d7bd7ce3a554ca2f36b8a78d1fdc150fe814a0d602e21d5fc2edae",
+    "providers/demote4/CLIFFORD-REVIEW.json": "7dbaf548ff9a515a2c3e352ecff536c619d546339eaef1b408451a3f65c3f08d"
+  },
+  "provider_phase_semantic_sha256": {
+    "demote3": "3ca5c207027b17a305206541c9792b73cd6e4c92dbb7ada0cb765882af9f4f9e",
+    "demote4": "06370f9c77ac8689bba3b883a0cc0378b7222d1a07265d10a90e3f380abe4577"
+  },
+  "provider_artifact_semantic_sha256": {
+    "demote3": {
+      "CANONICAL-WORD.json.gz": "9885ff29b54f8d2de67d58d68e40a48b7897530d565f932fe63534caa3b405c9",
+      "LOCAL-PROGRAMS.json.gz": "1c81387e144fe92eadc6296d44d3fd80e6f9573e0269cadaf591f75de0661eed",
+      "LOCAL-CHECKS.json": "36c5685b24037dcf3767fc7d8d48c308da50f754fc50a05d760e399dd275b045",
+      "INDEPENDENT-LOCAL-REPLAY.json": "4ffe4b6ea3a1e027ef67a519e92253286d5cb794155eea1d1bef940521521a5f",
+      "CLIFFORD-RECIPES.json": "c58d2bd3492a031820aec434661c9297fa41d810ad661c651f139e9b592c6a4a",
+      "CLIFFORD-REVIEW.json": "3ca5c207027b17a305206541c9792b73cd6e4c92dbb7ada0cb765882af9f4f9e",
+      "RESIDUAL-ADAPTERS.json": "d77ab0c3689e5c10f7129487a85d1497dd721e31138372b4a35913691fe5bc69"
+    },
+    "demote4": {
+      "CANONICAL-WORD.json.gz": "576ece8ed41adf7145607c12e07d6e461337b188340cda4272cbcf48472ef709",
+      "LOCAL-PROGRAMS.json.gz": "a7822ed2e402952991bce28b56b8183ff4f502f9599615b5806fc320f7e0c7a4",
+      "LOCAL-CHECKS.json": "32c93ab90b40b6add454199c48302c149cb35d21da7d27a801544cd45c853101",
+      "INDEPENDENT-LOCAL-REPLAY.json": "3a943a3c1756ff6643bdecd185cfaee43f040c882790f7392fc08cc9eab1f5e2",
+      "CLIFFORD-RECIPES.json": "5620aceef1d7bd7ce3a554ca2f36b8a78d1fdc150fe814a0d602e21d5fc2edae",
+      "CLIFFORD-REVIEW.json": "06370f9c77ac8689bba3b883a0cc0378b7222d1a07265d10a90e3f380abe4577",
+      "RESIDUAL-ADAPTERS.json": "91b1a723dd9ce73b87c183980e7f06c05f15a7453bd4efec282cb64fca063122"
+    }
+  },
+  "controller_audit_sha256": "028d1a2486ac64cba41d03320ccdf3bcff24c62a96bbbe629d55b28c02aeba9f"
+}
diff --git a/research/mixed-demotions-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json
new file mode 100644
index 0000000000..6f4707dedb
--- /dev/null
+++ b/research/mixed-demotions-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json
@@ -0,0 +1,6221 @@
+{
+  "status": "PASS_INDEPENDENT_MIXED_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE",
+  "template_sha256": "e54fd22df3a85657eccd091f39b24844207f6d36f230e789ddda0e3343b74bd4",
+  "parent_template_sha256": "b4a5f30a598f6201c3973ce7ddd059c09fa9086b353456b559ed7b6ebebaec5d",
+  "owner_audit_sha256": "c64cb2197f98b123a55d30a47b0c8e251873d7635a4de4c13a5e34b2e9483996",
+  "controller_audit_sha256": "028d1a2486ac64cba41d03320ccdf3bcff24c62a96bbbe629d55b28c02aeba9f",
+  "providers": {
+    "demote3": {
+      "local": {
+        "backward": {
+          "events": 24767,
+          "macros": 19693,
+          "real_component_primitives": 198814,
+          "prefix_l1": "14824960514781440791821/64",
+          "prefix_bits": 68,
+          "coefficient_work_primitive_count": 98365,
+          "all_exact_columns": 704,
+          "dirty_helper_columns": 480,
+          "all_dirty_helper_columns_restored": true,
+          "private_centres_and_coefficient_work_cleared": true,
+          "pre_wrappers": 240,
+          "post_wrappers": 240,
+          "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json"
+        },
+        "forward": {
+          "events": 24767,
+          "macros": 19693,
+          "real_component_primitives": 198766,
+          "prefix_l1": "2765345294379392599/1024",
+          "prefix_bits": 52,
+          "coefficient_work_primitive_count": 98333,
+          "all_exact_columns": 704,
+          "dirty_helper_columns": 480,
+          "all_dirty_helper_columns_restored": true,
+          "private_centres_and_coefficient_work_cleared": true,
+          "pre_wrappers": 240,
+          "post_wrappers": 240,
+          "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json"
+        }
+      },
+      "helpers": 480,
+      "centres": 8,
+      "v": 112,
+      "h": 9,
+      "n": 704,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "terminal_codimension": 214,
+      "hyperplane_ended_helpers": 78,
+      "cold_hyperplane_ended_helpers": 48,
+      "width_inventory": {
+        "4": 44,
+        "5": 44,
+        "7": 38,
+        "8": 114,
+        "9": 240
+      },
+      "widths": [
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
+        9,
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+    },
+    {
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+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    }
+  ],
+  "selected_local_paid_profile": {
+    "1": 785548,
+    "2": 167498,
+    "3": 138028,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664
+  },
+  "selected_real_component_primitives": 66196182,
+  "selected_coefficient_work_primitive_count": 32749625,
+  "selected_scalar_macros": 6557769,
+  "global_prefix_bits": 775,
+  "charged_prefix_bits": 1024,
+  "complete_invocation_sweeps": 333,
+  "bridge_sweeps": 333,
+  "row_prefix_extra": 2048,
+  "helpers": 480,
+  "centres": 8,
+  "live": 33152,
+  "physical": 33642,
+  "physical_stock_identity": {
+    "data_and_owner_families": 33152,
+    "local_helpers": 480,
+    "private_centres": 8,
+    "coefficient_work": 2
+  },
+  "local_adapters": 387056,
+  "local_primitive_bound": 10038040553630,
+  "wrapper_elementary_factors_charged": 23016960,
+  "factors_per_wrapper": 144,
+  "compiler": 25934336,
+  "unhosted_pervertex": 8300227458717966,
+  "hosted_rebased_pervertex": 8300227457219526,
+  "conservative_pervertex_used": 11178174448442534,
+  "retained_prior_overcharge": {
+    "sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478",
+    "previous_pervertex_allowance": 2877946989724568,
+    "added_complete_new_pervertex": 8300227458717966,
+    "policy": "Retain old allowance and add entire fresh mixed recount."
+  },
+  "finite": {
+    "physical_stock_bits": 2643,
+    "router_bits": 7991,
+    "literal_bits": 35286,
+    "physical_row_coefficient": 17495,
+    "retained_row_coefficient": 20161,
+    "required_C0_bits": 200012,
+    "halving_integer_inequality": [
+      5329,
+      4608
+    ],
+    "G_exponent": 30000,
+    "E_exponent": 100000,
+    "C0_exponent": 210000
+  },
+  "strict_checks": {
+    "local_primitive_bound": true,
+    "logical": true,
+    "router": true,
+    "literal": true,
+    "mass": true,
+    "precision": true,
+    "tape": true,
+    "row": true,
+    "halving": true
+  },
+  "scope": "Actual call-specific mixed scalar, Horner, wrappers and paid children recounted. All three providers use fresh hash-bound independent all-column/frame/phase/normalization admission. Shared compiler uses conservative maxima; parent is geometry/overcharge only. All-size compiler, hosting, precision/tape and analytic transfer remain conditional."
+}
diff --git a/research/mixed-demotions-t37/local_controls.py b/research/mixed-demotions-t37/local_controls.py
new file mode 100644
index 0000000000..e0e5d0e8e4
--- /dev/null
+++ b/research/mixed-demotions-t37/local_controls.py
@@ -0,0 +1,26 @@
+"""Semantic rejection controls for the changed local interfaces."""
+import argparse,contextlib,copy,gzip,importlib.util,io,json,tempfile
+from pathlib import Path
+P=Path(__file__).resolve().parent;ROOT=P.parents[1]
+def main():
+ assert __debug__
+ ap=argparse.ArgumentParser();ap.add_argument('--out',type=Path,required=True);a=ap.parse_args();assert not a.out.exists()
+ spec=importlib.util.spec_from_file_location('audit',ROOT/'research/gauge44-slots/independent/audit_local.py');A=importlib.util.module_from_spec(spec);spec.loader.exec_module(A)
+ word=json.loads(gzip.decompress((P/'data/FOUR-WORD.json.gz').read_bytes()));recipe=json.loads((P/'data/FOUR-RECIPE.json').read_text());rejected=[]
+ with tempfile.TemporaryDirectory(prefix='k8-demotion-controls-') as d:
+  d=Path(d)
+  def check(label,w):
+   f=d/'mutant.json.gz';f.write_bytes(gzip.compress(json.dumps(w).encode(),mtime=0))
+   try:
+    with contextlib.redirect_stdout(io.StringIO()):A.run(f,d/'audit.json',ROOT)
+   except RuntimeError as e:rejected.append(dict(control=label,reason=str(e)));return
+   raise AssertionError('control admitted: '+label)
+  for h,old,new in recipe['start_extra']:
+   w=copy.deepcopy(word);w['start_extra'][h]=old;check('restore-promoted-start-'+h,w)
+   w=copy.deepcopy(word);gate=next(e for e in w['A']+w['B'] if int(h) in A.registers(e));gate[-1]=gate[-1][:-1];check('first-frame-too-small-'+h,w)
+  w=copy.deepcopy(word);w['report']['local_profile']['1']+=1;check('false-paid-profile',w)
+  w=copy.deepcopy(word);w['B'][next(i for i,e in enumerate(w['B']) if e[0]=='add' and 112<=e[1]<224)][3]+=1;check('wrong-target-coefficient',w)
+  w=copy.deepcopy(word);w['report']['width_inventory']['4']+=1;check('false-helper-inventory',w)
+ assert len(rejected)==11
+ a.out.write_text(json.dumps(dict(status='PASS_FOUR_ENTRANCE_SEMANTIC_CONTROLS',rejected=rejected),indent=2)+'\n');print('PASS',len(rejected),'demotion controls')
+if __name__=='__main__':main()
diff --git a/research/mixed-demotions-t37/native.py b/research/mixed-demotions-t37/native.py
new file mode 100644
index 0000000000..fb9f676e5d
--- /dev/null
+++ b/research/mixed-demotions-t37/native.py
@@ -0,0 +1,10 @@
+import os,sys,time,json,subprocess
+from pathlib import Path
+ROOT=Path(__file__).resolve().parents[2];work=Path(sys.argv[2]);work.mkdir(parents=True,exist_ok=False);raw=Path(sys.argv[1]).resolve()
+src=ROOT/'research/complex-k492-owner-repair/vendor/multicold';up=ROOT/'research/complex-sw4-frame8/vendor/pr635/research/complex-571-cold14-st2/code';base=src/'vendor/pr558';par=base/'vendor/pr552';local=work/'local'
+env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',MULTICOLD_SOURCE=str(src),GAIN_PR564_SOURCE=str(src),CPLUS_INCLUDE_PATH=os.environ.get('CPLUS_INCLUDE_PATH','/opt/homebrew/include'));env.pop('PYTHONOPTIMIZE',None)
+steps=[]
+for label,script,args in [('native',up/'hpe_audit_and_transport.py',['--raw',raw,'--routing',par/'complex-local/inputs/phase-baseline/CANONICAL-WORD.json.gz','--out',local]),('ledgers',up/'hpe_emit_local.py',[local]),('local-replay',up/'hpe_audit_local.py',[local]),('wrappers',up/'hpe_adapters_local.py',[local/'CANONICAL-WORD.json.gz',local/'RESIDUAL-ADAPTERS.json',local/'WRAPPER-CHECKS.json']),('phases',base/'code/phases_full.py',[local,par/'complex-global/vendor531/vendor/clifford'])]:
+ t=time.monotonic()
+ with (work/(label+'.log')).open('w') as f:p=subprocess.run([sys.executable,'-B',str(src/'code/run_portable.py'),str(script),*map(str,args)],stdout=f,stderr=subprocess.STDOUT,cwd=ROOT,env=env)
+ steps.append(dict(step=label,exit_code=p.returncode,seconds=time.monotonic()-t));(work/'STEPS.json').write_text(json.dumps(steps,indent=2)+'\n');assert p.returncode==0,(label,(work/(label+'.log')).read_text()[-4000:]);print('PASS',label,flush=True)
diff --git a/research/mixed-demotions-t37/package.py b/research/mixed-demotions-t37/package.py
new file mode 100644
index 0000000000..9e911fe811
--- /dev/null
+++ b/research/mixed-demotions-t37/package.py
@@ -0,0 +1,15 @@
+"""Pin this package and the retained source closure; no network is used."""
+from pathlib import Path
+from common import P,ROOT,read,sha,load
+
+def validate():
+    manifest=read(P/'MANIFEST.json')
+    actual={str(p.relative_to(P)):sha(p)for p in P.rglob('*')if p.is_file() and p.name!='MANIFEST.json' and '__pycache__'not in p.parts}
+    assert actual==manifest,'Package manifest mismatch'
+    dependencies=read(P/'DEPENDENCY-PINS.json')
+    for rel,pin in dependencies.items():
+        q=(ROOT/rel).resolve()
+        assert not Path(rel).is_absolute() and q.is_relative_to(ROOT.resolve())
+        assert sha(q)==pin,'Changed retained source: '+rel
+    retained=load(ROOT/'research/complex-t37-owners/package.py','retained_package_validation').validate()
+    return dict(manifest_sha256=sha(P/'MANIFEST.json'),dependency_manifest_sha256=sha(P/'DEPENDENCY-PINS.json'),dependencies=len(dependencies),retained=retained)
diff --git a/research/mixed-demotions-t37/prepare.py b/research/mixed-demotions-t37/prepare.py
new file mode 100644
index 0000000000..596920d5ba
--- /dev/null
+++ b/research/mixed-demotions-t37/prepare.py
@@ -0,0 +1,84 @@
+"""Reuse PR942's explicit source adapters and build the five-bank parent.
+
+The frozen order, owner map, and PR1148 supplier metadata are replaced.
+The PR942 finite invoice still charges its 1024-bit prefix reserve.
+"""
+import copy,os,shutil
+from common import P,ROOT,read,dump,load,sha,identity
+
+def prepare(work,baseline,providers):
+    t37=ROOT/'research/complex-t37-owners'
+    t21=ROOT/'research/complex-t21-owners'
+    os.environ.update(T37_WORK=str(work),T37_BASELINE=str(baseline))
+    old=load(t37/'prepare.py','retained_t37_preparation')
+    runtime=work/'runtime';adapted=work/'adapted';adapted.mkdir()
+    load(t21/'source_adapters.py','retained_t21_adapters').materialize(runtime)
+    (runtime/'ADAPTERS.json').rename(runtime/'T21-INTERMEDIATE-ADAPTERS.json')
+    receipts={}
+    for name,record in old.expected_adaptations().items():
+        target=runtime/'code'/name.split('/',1)[1]if name.startswith('runtime/')else adapted/name
+        text=record['text'];extra=[]
+        if name=='runtime/assemble.py':
+            for before,after in [
+              ('the gauge44-barch U8 local word and all 72 cold helper ends','the mixed joint-entrance three- and four-demotion k8 local words'),
+              ('explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade','explicit 333-call wave dispatch with frozen integer pattern flows'),
+              ('This is a new T37 composition of the PR870 U8 and PR589 suppliers.','This is a new T37 composition of the mixed joint-entrance three- and four-demotion k8 and PR589 suppliers.')]:
+                assert text.count(before)==1,(before,text.count(before));text=text.replace(before,after);extra.append([before,after,1])
+        if name=='runtime/freeze_spec.py':
+            for before,after in [("spec['expected']['assembly_controls_rejected'] = 69","spec['expected']['assembly_controls_rejected'] = 114"),
+              ("spec['expected']['provider_counts'] = {'gauge44':333}","spec['expected']['provider_counts'] = dict(__import__('collections').Counter(pid for s,r,pid in spec['dispatch']))"),
+              ("spec['expected']['mutations_rejected'] = 15","spec['expected']['mutations_rejected'] = 23")]:
+                assert text.count(before)==1
+                text=text.replace(before,after);extra.append([before,after,1])
+        target.write_text(text,encoding='utf-8',newline='\n')
+        receipts[name]=dict(source_sha256=sha(record['source']),generated_sha256=sha(target),edits=record.get('edits',[]),description_edits=extra)
+    dump(work/'ADAPTATIONS.json',receipts)
+    source=read(baseline/'global/base/split-centres/GLOBAL-TEMPLATE.json.gz')
+    builder=load(adapted/'build_parent.py','retained_t37_parent_lift');parent=builder.lift(source)
+    plan=read(P/'vendor/pr1148/PLAN.json.gz');order=read(P/'data/ORDER.json');owners=read(P/'data/OWNERS.json.gz')
+    windows_mod=load(t21/'vendor/pr870/t16/build_parent.py','retained_physical_windows')
+    windows,schedule=windows_mod.actual_windows(parent,order)
+    mix=read(P/'data/MIX.json')
+    assert [[s,r]for pid,s,r in mix]==order
+    identities=load(ROOT/'research/complex-t21-owners/vendor/pr870/code/generated_identity.py','mixed_artifact_identities')
+    plan['provider_registry']={};plan['provider_calls']=[];plan['per_call_widths']=[]
+    for pid,directory in sorted(providers.items()):
+        word=read(directory/'CANONICAL-WORD.json.gz');checks=read(directory/'LOCAL-CHECKS.json')
+        widths=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,704)]
+        plan['provider_registry'][pid]=dict(directory='providers/'+pid,artifact_sha256={n:sha(directory/n)for n in identities.FILES},
+          ports=word['ports'],centers=word['centers'],widths=widths,actual_paid_profile=word['local_profile'],
+          orientation_program_sha256={o:checks[o]['sha256']for o in ('forward','backward')},artifact_semantic_sha256=identities.artifact_identities(directory))
+    for time,(pid,stage,replica)in enumerate(mix):
+        desc=plan['provider_registry'][pid];orientation='forward'if stage%2==0 else'backward'
+        plan['provider_calls'].append(dict(time=time,stage=stage,replica=replica,provider=pid,orientation=orientation,local_program_sha256=desc['orientation_program_sha256'][orientation]))
+        plan['per_call_widths'].append(dict(stage=stage,replica=replica,widths=desc['widths']))
+    claim=read(P/'CLAIM.json')
+    plan.update(T=37,live=33152,deficit=11840,order=order,windows=windows,profile=claim['complex_profile'],
+      status='FROZEN_T37_MIXED_DEMOTIONS_WHOLE_OWNER_NOMINATION',mode='gauge44-three-demotions-t37-wave',
+      solver_status='Frozen integer pattern flow, reconstructed by regular bipartite matching; no optimizer runs',
+      assignment_sha256=sha(P/'data/OWNERS.json.gz'),assignment_content_sha256=identity(owners),
+      replica_lift=dict(groups=[8,8,8,8,5],source_replicas=8,replicas=37,parent_template_content_sha256=identity(parent),
+        owners_file_sha256=sha(P/'data/OWNERS.json.gz'),schedule_content_sha256=identity(schedule),window_semantics='Strict physical source-event intervals, including bridges'))
+    assert len(owners)==159840 and sum(int(r)*n for r,n in plan['profile'].items())==73*33152-11840
+    for z in owners:
+        assert order[z['time']]==[z['stage'],z['replica']]
+        assert z['time']in windows[f"{z['owner_replica']},{z['child']}"][1]
+    frozen=read(P/'data/PLAN.json.gz')
+    for pid,desc in plan['provider_registry'].items():
+        # Regenerated compression and timing are rebound by the unchanged
+        # native binder. All proof-relevant semantic identities must agree.
+        assert desc['artifact_semantic_sha256']==frozen['provider_registry'][pid]['artifact_semantic_sha256']
+        desc['artifact_sha256']=frozen['provider_registry'][pid]['artifact_sha256']
+    assert plan==frozen,'Derived geometry/dispatch/provider plan differs from frozen nomination'
+    lift=work/'lift';lift.mkdir();dump(lift/'GLOBAL-TEMPLATE.json.gz',parent);dump(lift/'PLAN.json',plan)
+    parentdir=work/'parent';shutil.copytree(baseline/'parent558',parentdir)
+    shutil.copyfile(lift/'GLOBAL-TEMPLATE.json.gz',parentdir/'complex-global/base/split-centres/GLOBAL-TEMPLATE.json.gz')
+    (runtime/'data').mkdir(exist_ok=True)
+    spec=read(P/'data/SPEC.json')
+    assert spec['call_order']==order and spec['dispatch']==[[s,r,pid]for pid,s,r in mix]
+    assert spec['data']=={'owners_sha256':sha(P/'data/OWNERS.json.gz'),'plan_sha256':sha(lift/'PLAN.json')}
+    pivot=ROOT/'research/gauge44-slots/construction/leaver/PIVOT-SWAP-k8.json'
+    assert sha(pivot)==spec['pivot_swap']['sha256']
+    spec['pivot_swap']['recipe']=str(pivot.resolve())
+    dump(runtime/'data/SPEC.json',spec)
+    return plan
diff --git a/research/mixed-demotions-t37/price.py b/research/mixed-demotions-t37/price.py
new file mode 100644
index 0000000000..0903bea57b
--- /dev/null
+++ b/research/mixed-demotions-t37/price.py
@@ -0,0 +1,32 @@
+"""Independently recount the dispatch-weighted profile and certify its price."""
+from collections import Counter
+from fractions import Fraction as Q
+from common import P,ROOT,read,dump,load,sha
+
+def price(providers,out):
+    d=ROOT/'research/complex-k492-owner-repair/vendor/multicold/engines'
+    M=load(d/'moment.py','mixed_mercator');B=load(d/'base_two_moment.py','mixed_atanh')
+    A=load(d/'outer.py','mixed_outer')
+    O=load(ROOT/'research/complex-t21-owners/vendor/pr870/independent/price_profile_t16.py','mixed_outer_driver')
+    mix=read(P/'data/MIX.json');claim=read(P/'CLAIM.json');profile=Counter()
+    counts=Counter(pid for pid,s,r in mix)
+    assert counts==claim['provider_calls']=={'demote3':125,'demote4':208}
+    for pid,count in counts.items():
+        word=read(providers[pid]/'CANONICAL-WORD.json.gz')
+        profile.update({int(r):count*n for r,n in word['local_profile'].items()})
+    profile.update({int(r):n for r,n in claim['idle'].items()})
+    assert {str(r):n for r,n in profile.items()}==claim['complex_profile']
+    assert 73*33152-sum(r*n for r,n in profile.items())==11840
+    root=M.certify(profile,73,33152);lo,hi=Q(root['lower']),Q(root['upper'])
+    assert lo==Q(claim['complex_lower'])
+    signs={}
+    for name,z in [('lower',lo),('upper',hi)]:
+        first=M.moment(profile,73,33152,z);second=B.moment(73,33152,list(profile.items()),z)
+        assert(first[1]<1 and second[1]<1)if name=='lower'else(first[0]>1 and second[0]>1)
+        signs[name]={'point':str(z),'mercator':[str(v-1)for v in first],'atanh':[str(v-1)for v in second]}
+    outer=[O.outer47(Q(claim['bit_lower']),z,A)for z in (lo,hi)]
+    assert outer[0]['kappa']==outer[1]['kappa']==claim['kappa']
+    result=dict(status='PASS_TWO_ENGINE_MIXED_PROFILE_AND_OUTER47',kappa=claim['kappa'],kappa_decimal=claim['kappa_decimal'],
+      root=root,signs=signs,outer=outer,profile=dict(sorted(profile.items())),provider_call_counts=dict(counts),
+      scope='Arithmetic for the nominated mixed profile; geometry and full invoice require separate admission. No optimality claim.')
+    dump(out,result);return result
diff --git a/research/mixed-demotions-t37/vendor/pr1148/JOINT-WORD.json.gz b/research/mixed-demotions-t37/vendor/pr1148/JOINT-WORD.json.gz
new file mode 100644
index 0000000000..3dab3a16bb
Binary files /dev/null and b/research/mixed-demotions-t37/vendor/pr1148/JOINT-WORD.json.gz differ
diff --git a/research/mixed-demotions-t37/vendor/pr1148/NOTICE.md b/research/mixed-demotions-t37/vendor/pr1148/NOTICE.md
new file mode 100644
index 0000000000..af0170afc2
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/NOTICE.md
@@ -0,0 +1,8 @@
+Apache-2.0. Prepared for Thomas DiFiore with substantial OpenAI Codex assistance.
+
+* The preceding `k8-coordinated-owners`, `k8-eight-ends`, `k8-eight-ends-t16`, and `k8-three-demotions` packages supply the frozen constructions, owner slots, drivers, searches, and all retained source notices.
+* PR1111 by seslly / shipstuff, commit `381831ea554ea983e16224dabed8921b7d0ffdbc`, introduced the group-635 entrance-demotion lead. Its public PR description was consulted; no code or payload from that PR is consumed. The group-635 idea is not original to this package. This package composes it with two other groups, the eight-endpoint word, a joint frame refit, and its preceding T16 assignment. Credit also PR664's promotion mechanism and descendants.
+* The frame model derives from PR864 (navinor / Claude), as adapted and pinned in `../k8-eight-ends`. The new joint searches treat entrance labels as variables in the same frame graph and retain the scalar/cone constraints. Floating solver output is nomination data only.
+* Retain PR1018 and Rohan Arun's PR987 scalar-word lineage, PR1030's endpoint lead, Hao Yan / FanPUYen's PR858 T16 controller and independent checker, PR870/1074 admission work, PR942 by jon314159 and chafreaky's PR795/890 signed prices, and PR589's bit supplier. Their full dependency notices and source hashes remain in the preceding packages.
+* All global admission engines are unchanged. The exact bound adapts the preceding signed-dual proof with the new pinned local profile, using the same two rational arithmetic engines.
+* No claim of unconditional theorem certification, full Lean proof, or exact optimality of the floating discovery searches is made.
diff --git a/research/mixed-demotions-t37/vendor/pr1148/PLAN.json.gz b/research/mixed-demotions-t37/vendor/pr1148/PLAN.json.gz
new file mode 100644
index 0000000000..c7d39df72e
Binary files /dev/null and b/research/mixed-demotions-t37/vendor/pr1148/PLAN.json.gz differ
diff --git a/research/mixed-demotions-t37/vendor/pr1148/SPEC.json b/research/mixed-demotions-t37/vendor/pr1148/SPEC.json
new file mode 100644
index 0000000000..9aeea5c043
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/SPEC.json
@@ -0,0 +1,1971 @@
+{
+  "schema": "witness-spec/1",
+  "name": "k8-joint-entrances",
+  "data": {
+    "plan_sha256": "a986515b256f35c1d8d675998fc8d35182c9340bd7149d166337d1b3ebba4de4",
+    "owners_sha256": "7755af4108f066cf1eb13dbaac0a0fbb97a2852ffa7403588d2b5218c81101bf"
+  },
+  "dispatch": [
+    [
+      0,
+      0,
+      "gauge44"
+    ],
+    [
+      0,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      1,
+      "gauge44"
+    ],
+    [
+      0,
+      9,
+      "gauge44"
+    ],
+    [
+      1,
+      0,
+      "gauge44"
+    ],
+    [
+      1,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      2,
+      "gauge44"
+    ],
+    [
+      0,
+      10,
+      "gauge44"
+    ],
+    [
+      1,
+      1,
+      "gauge44"
+    ],
+    [
+      1,
+      9,
+      "gauge44"
+    ],
+    [
+      2,
+      0,
+      "gauge44"
+    ],
+    [
+      2,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      3,
+      "gauge44"
+    ],
+    [
+      0,
+      11,
+      "gauge44"
+    ],
+    [
+      1,
+      2,
+      "gauge44"
+    ],
+    [
+      1,
+      10,
+      "gauge44"
+    ],
+    [
+      2,
+      1,
+      "gauge44"
+    ],
+    [
+      2,
+      9,
+      "gauge44"
+    ],
+    [
+      3,
+      0,
+      "gauge44"
+    ],
+    [
+      3,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      4,
+      "gauge44"
+    ],
+    [
+      0,
+      12,
+      "gauge44"
+    ],
+    [
+      1,
+      3,
+      "gauge44"
+    ],
+    [
+      1,
+      11,
+      "gauge44"
+    ],
+    [
+      2,
+      2,
+      "gauge44"
+    ],
+    [
+      2,
+      10,
+      "gauge44"
+    ],
+    [
+      3,
+      1,
+      "gauge44"
+    ],
+    [
+      3,
+      9,
+      "gauge44"
+    ],
+    [
+      4,
+      0,
+      "gauge44"
+    ],
+    [
+      4,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      5,
+      "gauge44"
+    ],
+    [
+      0,
+      13,
+      "gauge44"
+    ],
+    [
+      1,
+      4,
+      "gauge44"
+    ],
+    [
+      1,
+      12,
+      "gauge44"
+    ],
+    [
+      2,
+      3,
+      "gauge44"
+    ],
+    [
+      2,
+      11,
+      "gauge44"
+    ],
+    [
+      3,
+      2,
+      "gauge44"
+    ],
+    [
+      3,
+      10,
+      "gauge44"
+    ],
+    [
+      4,
+      1,
+      "gauge44"
+    ],
+    [
+      4,
+      9,
+      "gauge44"
+    ],
+    [
+      5,
+      0,
+      "gauge44"
+    ],
+    [
+      5,
+      8,
+      "gauge44"
+    ],
+    [
+      0,
+      6,
+      "gauge44"
+    ],
+    [
+      0,
+      14,
+      "gauge44"
+    ],
+    [
+      1,
+      5,
+      "gauge44"
+    ],
+    [
+      1,
+      13,
+      "gauge44"
+    ],
+    [
+      2,
+      4,
+      "gauge44"
+    ],
+    [
+      2,
+      12,
+      "gauge44"
+    ],
+    [
+      3,
+      3,
+      "gauge44"
+    ],
+    [
+      3,
+      11,
+      "gauge44"
+    ],
+    [
+      4,
+      2,
+      "gauge44"
+    ],
+    [
+      4,
+      10,
+      "gauge44"
+    ],
+    [
+      5,
+      1,
+      "gauge44"
+    ],
+    [
+      5,
+      9,
+      "gauge44"
+    ],
+    [
+      0,
+      7,
+      "gauge44"
+    ],
+    [
+      0,
+      15,
+      "gauge44"
+    ],
+    [
+      6,
+      0,
+      "gauge44"
+    ],
+    [
+      6,
+      8,
+      "gauge44"
+    ],
+    [
+      1,
+      6,
+      "gauge44"
+    ],
+    [
+      1,
+      14,
+      "gauge44"
+    ],
+    [
+      2,
+      5,
+      "gauge44"
+    ],
+    [
+      2,
+      13,
+      "gauge44"
+    ],
+    [
+      3,
+      4,
+      "gauge44"
+    ],
+    [
+      3,
+      12,
+      "gauge44"
+    ],
+    [
+      4,
+      3,
+      "gauge44"
+    ],
+    [
+      4,
+      11,
+      "gauge44"
+    ],
+    [
+      5,
+      2,
+      "gauge44"
+    ],
+    [
+      5,
+      10,
+      "gauge44"
+    ],
+    [
+      6,
+      1,
+      "gauge44"
+    ],
+    [
+      6,
+      9,
+      "gauge44"
+    ],
+    [
+      1,
+      7,
+      "gauge44"
+    ],
+    [
+      1,
+      15,
+      "gauge44"
+    ],
+    [
+      7,
+      0,
+      "gauge44"
+    ],
+    [
+      7,
+      8,
+      "gauge44"
+    ],
+    [
+      2,
+      6,
+      "gauge44"
+    ],
+    [
+      2,
+      14,
+      "gauge44"
+    ],
+    [
+      3,
+      5,
+      "gauge44"
+    ],
+    [
+      3,
+      13,
+      "gauge44"
+    ],
+    [
+      4,
+      4,
+      "gauge44"
+    ],
+    [
+      4,
+      12,
+      "gauge44"
+    ],
+    [
+      5,
+      3,
+      "gauge44"
+    ],
+    [
+      5,
+      11,
+      "gauge44"
+    ],
+    [
+      6,
+      2,
+      "gauge44"
+    ],
+    [
+      6,
+      10,
+      "gauge44"
+    ],
+    [
+      7,
+      1,
+      "gauge44"
+    ],
+    [
+      7,
+      9,
+      "gauge44"
+    ],
+    [
+      2,
+      7,
+      "gauge44"
+    ],
+    [
+      2,
+      15,
+      "gauge44"
+    ],
+    [
+      8,
+      0,
+      "gauge44"
+    ],
+    [
+      8,
+      8,
+      "gauge44"
+    ],
+    [
+      3,
+      6,
+      "gauge44"
+    ],
+    [
+      3,
+      14,
+      "gauge44"
+    ],
+    [
+      4,
+      5,
+      "gauge44"
+    ],
+    [
+      4,
+      13,
+      "gauge44"
+    ],
+    [
+      5,
+      4,
+      "gauge44"
+    ],
+    [
+      5,
+      12,
+      "gauge44"
+    ],
+    [
+      6,
+      3,
+      "gauge44"
+    ],
+    [
+      6,
+      11,
+      "gauge44"
+    ],
+    [
+      7,
+      2,
+      "gauge44"
+    ],
+    [
+      7,
+      10,
+      "gauge44"
+    ],
+    [
+      8,
+      1,
+      "gauge44"
+    ],
+    [
+      8,
+      9,
+      "gauge44"
+    ],
+    [
+      3,
+      7,
+      "gauge44"
+    ],
+    [
+      3,
+      15,
+      "gauge44"
+    ],
+    [
+      4,
+      6,
+      "gauge44"
+    ],
+    [
+      4,
+      14,
+      "gauge44"
+    ],
+    [
+      5,
+      5,
+      "gauge44"
+    ],
+    [
+      5,
+      13,
+      "gauge44"
+    ],
+    [
+      6,
+      4,
+      "gauge44"
+    ],
+    [
+      6,
+      12,
+      "gauge44"
+    ],
+    [
+      7,
+      3,
+      "gauge44"
+    ],
+    [
+      7,
+      11,
+      "gauge44"
+    ],
+    [
+      8,
+      2,
+      "gauge44"
+    ],
+    [
+      8,
+      10,
+      "gauge44"
+    ],
+    [
+      4,
+      7,
+      "gauge44"
+    ],
+    [
+      4,
+      15,
+      "gauge44"
+    ],
+    [
+      5,
+      6,
+      "gauge44"
+    ],
+    [
+      5,
+      14,
+      "gauge44"
+    ],
+    [
+      6,
+      5,
+      "gauge44"
+    ],
+    [
+      6,
+      13,
+      "gauge44"
+    ],
+    [
+      7,
+      4,
+      "gauge44"
+    ],
+    [
+      7,
+      12,
+      "gauge44"
+    ],
+    [
+      8,
+      3,
+      "gauge44"
+    ],
+    [
+      8,
+      11,
+      "gauge44"
+    ],
+    [
+      5,
+      7,
+      "gauge44"
+    ],
+    [
+      5,
+      15,
+      "gauge44"
+    ],
+    [
+      6,
+      6,
+      "gauge44"
+    ],
+    [
+      6,
+      14,
+      "gauge44"
+    ],
+    [
+      7,
+      5,
+      "gauge44"
+    ],
+    [
+      7,
+      13,
+      "gauge44"
+    ],
+    [
+      8,
+      4,
+      "gauge44"
+    ],
+    [
+      8,
+      12,
+      "gauge44"
+    ],
+    [
+      6,
+      7,
+      "gauge44"
+    ],
+    [
+      6,
+      15,
+      "gauge44"
+    ],
+    [
+      7,
+      6,
+      "gauge44"
+    ],
+    [
+      7,
+      14,
+      "gauge44"
+    ],
+    [
+      8,
+      5,
+      "gauge44"
+    ],
+    [
+      8,
+      13,
+      "gauge44"
+    ],
+    [
+      7,
+      7,
+      "gauge44"
+    ],
+    [
+      7,
+      15,
+      "gauge44"
+    ],
+    [
+      8,
+      6,
+      "gauge44"
+    ],
+    [
+      8,
+      14,
+      "gauge44"
+    ],
+    [
+      8,
+      7,
+      "gauge44"
+    ],
+    [
+      8,
+      15,
+      "gauge44"
+    ]
+  ],
+  "call_order": [
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+        }
+      },
+      "semantic_phase_sha256": "3ca5c207027b17a305206541c9792b73cd6e4c92dbb7ada0cb765882af9f4f9e",
+      "expected_local": {
+        "forward": {
+          "events": 24767,
+          "macros": 19693,
+          "real_component_primitives": 198766,
+          "prefix_l1": "2765345294379392599/1024",
+          "coefficient_work_primitive_count": 98333
+        },
+        "backward": {
+          "events": 24767,
+          "macros": 19693,
+          "real_component_primitives": 198814,
+          "prefix_l1": "14824960514781440791821/64",
+          "coefficient_work_primitive_count": 98365
+        }
+      },
+      "wrappers": 240
+    }
+  },
+  "expected": {
+    "gain_baseline_kappa": "0.001674622497877364",
+    "hosted_residuals": 69120,
+    "rank_mass": 1041408,
+    "actual_73column_sigmas": 10580,
+    "cross_replica_helper_roles": 59636,
+    "idle_remainders": 5279,
+    "idle_remainder_profile": {
+      "1": 360,
+      "24": 1,
+      "48": 4918
+    },
+    "global_profile": {
+      "1": 340776,
+      "2": 71712,
+      "3": 59328,
+      "4": 18720,
+      "5": 11808,
+      "8": 1152,
+      "24": 1,
+      "48": 4918
+    },
+    "live": 14336,
+    "physical": 14826,
+    "conservative_kappa_decimal": "0.001675560944680149",
+    "kappa_decimal": "0.001675560947524449",
+    "complex_lower": "41959329101337756331/25000000000000000000000",
+    "conservative_complex_lower": "1678373161199654598379/1000000000000000000000000",
+    "kappa": "1675560947524449/1000000000000000000",
+    "assembly_controls_rejected": 69,
+    "provider_counts": {
+      "gauge44": 144
+    },
+    "mutations_rejected": 15
+  },
+  "pivot_swap": {
+    "recipe": "construction/leaver/PIVOT-SWAP-k8.json",
+    "sha256": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb"
+  }
+}
diff --git a/research/mixed-demotions-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md b/research/mixed-demotions-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md
new file mode 100644
index 0000000000..281e6404ca
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md
@@ -0,0 +1,41 @@
+# Attribution and scope
+
+Prepared for Thomas DiFiore with OpenAI Codex assistance, October 13, 2026.
+Licensed under the repository's Apache-2.0 license.
+
+This contribution changes the whole-helper ownership map for the circuit from
+Jeremy Kothe's PR1018 (`eac7547cb191f875d5f5ea5f9bbb1d2b8c51c4ef`). The
+eight no-helper mutable-source cells, R480 circuit, frame optimization and
+construction controls come from Jeremy Kothe and the credited contributors to
+PR1005. The seven additional triangle slots come from PR1018 using Rohan Arun's
+PR987 search and NewBArch's PR869 builder. None of those circuit improvements
+are claimed as new here.
+
+The starting ownership map is G44Pack3's K8c8, descended from chafreaky's PR685
+and PR741 maps through G44Pack's relabeling and width changes. This package adds
+coordinated complete-call reassignment by grouped integer packing, with
+explicitly serialized owners and an unchanged independent admission verifier.
+
+The separate all-replica upper bound adapts jon314159's PR942 arithmetic
+implementation and proof, using chafreaky's PR795/890 signed-dual prices. Its
+new contribution is the application to PR1018's changed local profile and
+helper inventory. The two rational numerical engines retain their upstream
+authorship. `independent/UPSTREAM.json` records the source file and hash.
+
+All construction, controller, spectator, native phase, finite invoice, exact
+moment and outer-transfer implementations retain their upstream authorship
+and notices. The runtime copies PR1018's verifier files byte for byte. It
+changes the owner nomination, its derived PLAN fields, and expected-value SPEC.
+The original packages remain unchanged.
+
+The bit supplier is the unchanged PR589/PR555 punctured-star construction;
+this run reprices its pinned profile and reruns its admission controls. It does
+not rebuild the bit circuit. Earlier complex ancestry is inherited through the
+pinned PR741 initial word and PR622/PR558 reviewed parent artifacts. The run
+freshly rebuilds the k8 leaver circuit, all later layers, and the seven slots.
+
+This is a conditional finite construction, not an unconditional integer
+multiplication theorem. All-size compilation, common-label and mutable-source
+realization, whole-call hosting, precision/tape, analytic transfer and bit H1–H5
+assumptions remain. No independent human peer review is claimed. Optimizer
+outputs and floating relaxations are discovery evidence, not admission proofs.
diff --git a/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-NOTICE.md b/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-NOTICE.md
new file mode 100644
index 0000000000..a756f9da58
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-NOTICE.md
@@ -0,0 +1,9 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+This package composes earlier community constructions and retains their mathematical assumptions. It claims the displayed finite composition and its checks, not original authorship of E8, the mutable-source k8 circuit, the endpoint technique, or the admission machinery.
+
+* CrocSwap/integer-mult-bounds PR1018 (`research/gauge44-slots`) supplies the R480 k8 + seven-slot circuit, all native scalar/phase checkers, and strict global admission.
+* PR1030, commit d71857cd0ae7824e935aac17327e4ec27f66322b, supplies the rank-seven endpoint-pair lead. Its U8 helpers 588/589 correspond to k8 helpers 574/575. The new composition also uses 572/573, 580/581, and 582/583, with all four reductions refitted together.
+* `discovery/frame_model.py` adapts the complete frame model from PR864 (navinor / Claude), retained in the earlier local research run. The adaptation permits a new initial frame assignment after changing the scalar graph or endpoint constraints. It is nomination code; unchanged independent native checks decide admission.
+* `research/k8-coordinated-owners` supplies the initial whole-owner map and coordinated complete-call search. Earlier owner machinery and dual prices originate with chafreaky, G44Pack, and jon314159; see that package's NOTICE.md.
+* All analytic, compiler, boundary, common-label, hosting, and bit-supplier assumptions remain those of the upstream source chain.
diff --git a/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md b/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md
new file mode 100644
index 0000000000..d0359f2e08
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md
@@ -0,0 +1,9 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+This package composes community work. It claims the new finite owner assignment, the documented pattern-pricing search, and the inventory-specific ceiling certificate, not original authorship of E8, the k8 word, the sixteen-replica controller, or the admission machinery.
+
+* `../k8-eight-ends` supplies the unchanged endpoint word, local verification, and initial T8 owners. Its NOTICE.md credits PR1018's R480 k8 + seven-slot supplier, PR1030's rank-seven endpoint lead, PR864's frame model, and earlier owner research.
+* CrocSwap/integer-mult-bounds PR1074, commit `052afc128954f7b6a2b3c409eb4d72248e4020f2`, supplies the consumed controller and strict admission sources. Every file under `vendor/pr1074` is byte-identical to that upstream commit and pinned in `UPSTREAM.json`. The original `UPSTREAM-NOTICE.md` is retained there. PR1074's owner research was contributed by jeremykothe2 with Claude Opus 5.5.
+* The T16 controller, direct-sum parent, actual-window reconstruction, and independent checker originate in Hao Yan / FanPUYen's PR858, with subsequent PR870 and PR1074 adaptations. This package does not modify their checks.
+* `independent/all_t_bound.py` adapts `../k8-coordinated-owners/independent/all_t_bound.py`, itself adapted from jon314159's PR942 certificate and chafreaky's PR795/890 signed dual prices. The two rational arithmetic engines are retained upstream code.
+* The bit supplier remains the cited PR589 supplier. All analytic, compiler, boundary, common-label, hosting, and bit-supplier assumptions remain in force.
diff --git a/research/mixed-demotions-t37/vendor/pr1148/k8-three-demotions-NOTICE.md b/research/mixed-demotions-t37/vendor/pr1148/k8-three-demotions-NOTICE.md
new file mode 100644
index 0000000000..9f759cfade
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1148/k8-three-demotions-NOTICE.md
@@ -0,0 +1,7 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+* `../k8-eight-ends` and `../k8-eight-ends-t16` supply the unchanged scalar word, endpoint construction, initial owner map, and pinned T16 controller. Their notices retain the PR1018, PR1030, PR864, PR858, PR870, PR1074, and earlier E8, k8, frame, owner, and bit-supplier credits.
+* PR1111 by seslly / shipstuff, commit `381831ea554ea983e16224dabed8921b7d0ffdbc`, supplied the entrance-demotion lead: reversing a promotion can profitably trade wider helpers for a different recursive profile. Its README/PR claim was consulted; no PR1111 code or owner payload is consumed. This package instead screens all codimension-one subspaces of the six current dimension-five groups, composes three groups on the eight-endpoint word, and constructs its own complete T16 owner assignment. The older promotion mechanism is credited to PR664 and its descendants.
+* The frame refit uses the preceding adaptation of PR864's complete frame model (navinor / Claude). Solver output is nomination data; independent native replay and unchanged global engines decide admission.
+* The coordinated pattern-pricing search is retained from `../k8-eight-ends-t16`. Earlier owner algorithms and signed duals are credited in its notice. The bound adapts jon314159's PR942 certificate and chafreaky's PR795/890 prices, using the existing two rational arithmetic engines.
+* The fresh native and global checks retain every inherited analytic, compiler, boundary, common-label, hosting, precision/tape, and bit H1–H5 assumption. This package does not claim original authorship of those constructions or an unconditional theorem.
diff --git a/research/mixed-demotions-t37/vendor/pr1152/NOTICE.md b/research/mixed-demotions-t37/vendor/pr1152/NOTICE.md
new file mode 100644
index 0000000000..5e32d6fab0
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1152/NOTICE.md
@@ -0,0 +1,39 @@
+# Attribution and source boundary
+
+Prepared for Chafik Boukhalfa with OpenAI Codex assistance. Apache-2.0.
+
+The new contribution is the 37-replica wave order, its frozen integral
+pattern-flow assignment, deterministic matching reconstruction, and strict
+composition with the rank-seven-end seven-slot k8 supplier. The PR1107 local
+word is unchanged. The preceding seven-slot T37 wave construction is retained
+as the direct source of the owner-flow and public reconstruction method.
+
+- Jeremy Kothe (`jeremykothe2`): PR1005 mutable-leaver k8 construction,
+  PR1018 seven-slot construction (following PR987), and PR1022's supplier and
+  sixteen-replica composition. The complete `gauge44-leaver8` and
+  `gauge44-slots` packages are copied unchanged from PR1022's pinned head.
+  Their original notices and attribution chains remain intact, including the
+  earlier gauge, pivot, cold-end, promotion, frame and hybrid constructions.
+- Jeremy Kothe: PR1107's rank-seven-end supplier and its frozen source package.
+  All 197 files are copied unchanged. Alexander Schwartzman (`AlexS-scale`):
+  PR1030's two rank-seven helper-end mechanism. `thakrarsagar`: PR1049's
+  independent leaver-premise checker, included unchanged in that supplier.
+- `jon314159`: PR942's T37 bank envelope, finite prefix reserve, explicit
+  source adaptations and all-replica signed-price argument.
+- Chafik Boukhalfa: PR890's variable-replica composition and independent
+  checker, the retained earlier gauge/owner work, and the prior local
+  pattern-flow/matching formulation used to nominate this assignment.
+- Hao Yan (`FanPUYen`): PR858's direct-sum parent construction, strict physical
+  source-event windows and independent owner audit.
+- Jeremy Kothe: PR799's paired-read-exchange supplier.
+- `DreamingOfClouds`: the retained PR589 tuned P111 bit supplier, with its
+  complete upstream notices.
+- The original source notices credit the PR514/484/507 controller lineage,
+  PR558/552/531 exact phase machinery, the signed-price antecedents, exact
+  moment engines and outer reduction. They are retained rather than replaced
+  by this list.
+
+PR635's required source subtree is retained at its constructor-pinned commit.
+`SOURCE-PINS.json` records each vendored file's original Git blob and SHA-256;
+`DEPENDENCY-PINS.json` pins repository dependencies. No author optimizer is
+needed to reconstruct the new frozen owner map.
diff --git a/research/mixed-demotions-t37/vendor/pr1152/construct.py b/research/mixed-demotions-t37/vendor/pr1152/construct.py
new file mode 100644
index 0000000000..baa7907e1d
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1152/construct.py
@@ -0,0 +1,111 @@
+"""Expand the frozen integer pattern flows without a solver or third-party library.
+
+Credit: PR858 physical windows; local promo4 pattern-flow formulation; standard
+regular bipartite multigraph decomposition by successive perfect matchings.
+Every matching and every integer conservation equation is checked explicitly.
+"""
+import argparse
+from collections import Counter,defaultdict,deque
+from common import P,ROOT,read,dump,load,identity,sha
+
+def matching(A):
+    n=len(A);left=[-1]*n;right=[-1]*n
+    while True:
+        distance=[-1]*n;q=deque()
+        for u in range(n):
+            if left[u]<0:distance[u]=0;q.append(u)
+        while q:
+            u=q.popleft()
+            for v in sorted(A[u]):
+                z=right[v]
+                if z>=0 and distance[z]<0:distance[z]=distance[u]+1;q.append(z)
+        def augment(u):
+            for v in sorted(A[u]):
+                z=right[v]
+                if z<0 or(distance[z]==distance[u]+1 and augment(z)):
+                    left[u]=v;right[v]=u;return True
+            distance[u]=-1;return False
+        count=sum(augment(u) for u in range(n)if left[u]<0)
+        if all(v>=0 for v in left):break
+        assert count,'Regular bipartite graph has no perfect matching'
+    assert sorted(left)==list(range(n)) and all(A[u][v]>0 for u,v in enumerate(left))
+    return left
+
+def construct(parent,word,flow,order):
+    expected_order=sorted([[s,r]for s in range(9)for r in range(37)],key=lambda k:(37*k[0]+8*k[1],k[0],k[1]))
+    assert order==expected_order,'Frozen wave order'
+    mod=load(ROOT/'research/complex-t21-owners/vendor/pr870/t16/build_parent.py','original_actual_windows')
+    windows,schedule=mod.actual_windows(parent,order)
+    original=read(P/'vendor/pr1107/research/gauge44-ends7-t16/data/T8/PLAN.json')
+    widths=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,224+word['R'])]
+    assert Counter(widths)=={4:56,5:32,7:32,8:120,9:240}
+    pools=defaultdict(list)
+    for t in range(333):
+        for h,w in enumerate(widths):pools[t,w].append(h)
+    roles=[];seen=set();flow_edges=0;bin_count=0
+    for group in flow:
+        keys=group['physical_windows'];assert keys and len(keys)==len(set(keys))
+        assert not seen.intersection(keys);seen.update(keys)
+        cap,times=windows[keys[0]]
+        assert all(windows[key]==[cap,times]for key in keys)
+        n=len(times);portbase=0
+        for pattern in group['patterns']:
+            widths_p=pattern['widths'];N=pattern['count'];flows={}
+            assert type(N)is int and 0<N<=112*len(keys)
+            assert all(type(w)is int and w in (4,5,7,8,9)for w in widths_p)
+            assert widths_p==sorted(widths_p) and sum(widths_p)<=cap and len(widths_p)<=n
+            for t,w,count in pattern['flow']:
+                assert all(type(x)is int for x in (t,w,count))
+                assert t in times and w in widths_p and 0<count<=N and(t,w)not in flows
+                flows[t,w]=count
+            flow_edges+=len(flows)
+            counts=Counter(widths_p)
+            assert all(sum(flows.get((t,w),0)for t in times)==N*count for w,count in counts.items())
+            assert all(sum(flows.get((t,w),0)for w in counts)<=N for t in times)
+            if not widths_p:
+                assert not flows;portbase+=N;bin_count+=N;continue
+            A=[defaultdict(int)for _ in range(n)];row_widths=[]
+            for w,count in sorted(counts.items()):
+                remaining=[flows.get((t,w),0)for t in times];ti=0
+                for _ in range(count):
+                    row=len(row_widths);row_widths.append(w);need=N
+                    while need:
+                        while remaining[ti]==0:ti+=1
+                        take=min(need,remaining[ti]);A[row][ti]+=take;remaining[ti]-=take;need-=take
+                assert not any(remaining)
+            K=len(row_widths);deficit=[N-sum(A[i].get(t,0)for i in range(K))for t in range(n)];ti=0
+            assert min(deficit)>=0
+            for row in range(K,n):
+                need=N
+                while need:
+                    while deficit[ti]==0:ti+=1
+                    take=min(need,deficit[ti]);A[row][ti]+=take;deficit[ti]-=take;need-=take
+            assert not any(deficit) and all(sum(row.values())==N for row in A)
+            actual=Counter()
+            for color in range(N):
+                match=matching(A);slots=sorted((times[match[i]],row_widths[i])for i in range(K))
+                for i,t in enumerate(match):
+                    A[i][t]-=1
+                    if not A[i][t]:del A[i][t]
+                index,port=divmod(portbase+color,112);owner,child=map(int,keys[index].split(','));offset=0
+                for t,w in slots:
+                    actual[t,w]+=1;assert pools[t,w];helper=pools[t,w].pop();stage,replica=order[t]
+                    roles.append(dict(stage=stage,replica=replica,time=t,helper=helper,width=w,owner_replica=owner,child=child,port=port,offset=offset,copy=112*owner+port,family=896*owner+112*(2*original['pairs'][str(child)]+original['sides'][str(child)])+port))
+                    offset+=w
+                assert offset==sum(widths_p)
+            assert not any(A) and actual==flows
+            portbase+=N;bin_count+=N
+        assert portbase==112*len(keys)
+    assert seen==set(windows) and not any(pools.values()) and len(roles)==159840
+    roles.sort(key=lambda z:(z['time'],z['helper']))
+    return roles,dict(status='PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING',roles=len(roles),bins=bin_count,windows=len(windows),flow_edges=flow_edges,owner_content_sha256=identity(roles),schedule_content_sha256=identity(schedule))
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('parent','word','out'):ap.add_argument('--'+k,type=__import__('pathlib').Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT);out.mkdir(parents=True)
+    roles,receipt=construct(read(a.parent),read(a.word),read(P/'data/FLOW.json.gz'),read(P/'data/ORDER.json'))
+    dump(out/'OWNERS.json.gz',roles)
+    receipt['inputs']={str(p):sha(p)for p in (a.parent,a.word,P/'data/FLOW.json.gz',P/'data/ORDER.json')}
+    dump(out/'CONSTRUCTION.json',receipt);print(receipt['status'],len(roles),flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-demotions-t37/vendor/pr1152/controls.py b/research/mixed-demotions-t37/vendor/pr1152/controls.py
new file mode 100644
index 0000000000..cf713edd8a
--- /dev/null
+++ b/research/mixed-demotions-t37/vendor/pr1152/controls.py
@@ -0,0 +1,25 @@
+"""Reject malformed frozen flow inputs before accepting any reconstructed map."""
+import copy
+from construct import construct
+from common import P,read,dump
+
+def check(parent,word,out):
+    flow=read(P/'data/FLOW.json.gz');order=read(P/'data/ORDER.json')
+    result=[]
+    for name in ('boolean_bin_count','negative_bin_count','duplicate_window','duplicate_flow',
+                 'out_of_window_time','invalid_width','overfull_call','reordered_wave'):
+        bad=copy.deepcopy(flow);badorder=copy.deepcopy(order)
+        group=bad[0];pattern=next(p for p in group['patterns']if p['flow'])
+        if name=='boolean_bin_count':group['patterns'][0]['count']=True
+        elif name=='negative_bin_count':group['patterns'][0]['count']=-1
+        elif name=='duplicate_window':group['physical_windows'].append(group['physical_windows'][0])
+        elif name=='duplicate_flow':pattern['flow'].append(pattern['flow'][0].copy())
+        elif name=='out_of_window_time':pattern['flow'][0][0]=333
+        elif name=='invalid_width':pattern['flow'][0][1]=6
+        elif name=='overfull_call':pattern['flow'][0][2]=pattern['count']+1
+        else:badorder[0],badorder[1]=badorder[1],badorder[0]
+        try:construct(parent,word,bad,badorder)
+        except AssertionError:result.append(name)
+        else:raise AssertionError('Accepted malformed flow: '+name)
+    receipt=dict(status='PASS_FROZEN_FLOW_NEGATIVE_CONTROLS',rejected=result)
+    dump(out,receipt);return receipt
diff --git a/research/mixed-demotions-t37/verify.py b/research/mixed-demotions-t37/verify.py
new file mode 100644
index 0000000000..4802312b52
--- /dev/null
+++ b/research/mixed-demotions-t37/verify.py
@@ -0,0 +1,75 @@
+"""Fresh mixed local replay, deterministic owner reconstruction and strict admission.
+
+No allocation optimizer or discovery-mode controller runs. Outputs must be new
+and outside the checkout. Optional cold PR799 reuse is independently rebound
+with the retained maintainer checker and fixed stage/artifact coverage.
+"""
+import argparse,os,shutil,subprocess,sys,tarfile,time
+from pathlib import Path
+from common import P,ROOT,read,dump,sha,identity,load
+import package
+
+ARCHIVE=ROOT/'research/community-frontier1042-audit/selected-replay.tar.gz'
+ARCHIVE_SHA='22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754'
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--work',type=Path,required=True)
+    ap.add_argument('--ancestry799',type=Path,help='Completed cold verify_frontier799.py output; all bindings and coverage are rechecked')
+    a=ap.parse_args();pins=package.validate();w=a.work.resolve()
+    assert not w.exists() and not w.is_relative_to(ROOT);w.mkdir(parents=True)
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',PYTHON=sys.executable)
+    for k in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD','WITNESS_SPEC'):env.pop(k,None)
+    steps=[]
+    def run(name,script,*args):
+        log=w/(name+'.log');start=time.monotonic()
+        with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(script),*map(str,args)],cwd=ROOT,env=env,stdout=f,stderr=subprocess.STDOUT)
+        steps.append(dict(name=name,exit_code=r.returncode,seconds=round(time.monotonic()-start,3),log_sha256=sha(log)))
+        dump(w/'STAGES.json',steps)
+        if r.returncode:raise RuntimeError(name+'\n'+log.read_text()[-5000:])
+        print('PASS',name,flush=True)
+    assert sha(ARCHIVE)==ARCHIVE_SHA
+    baseline=w/'retained1042';baseline.mkdir()
+    with tarfile.open(ARCHIVE)as t:
+        for m in t.getmembers():
+            assert (baseline/m.name).resolve().is_relative_to(baseline) and (m.isfile() or m.isdir())
+        t.extractall(baseline,filter='data')
+    baseline=baseline/'slots/global';base=baseline/'global/base'
+    import build_word,controls,audit,prepare,controller,price
+    dump(w/'WORD-RECIPE.json',build_word.build(w/'FOUR-WORD.json.gz'))
+    providers={}
+    for pid,word in [('demote3',P/'vendor/pr1148/JOINT-WORD.json.gz'),('demote4',w/'FOUR-WORD.json.gz')]:
+        run('raw-'+pid,ROOT/'research/gauge44-slots/independent/audit_local.py','--word',word,'--main',ROOT,'--output',w/('RAW-'+pid+'.json'))
+        run('native-'+pid,P/'native.py',word,w/pid)
+        providers[pid]=w/pid/'local'
+        stages=read(w/pid/'STEPS.json')
+        assert [v['step']for v in stages]==['native','ledgers','local-replay','wrappers','phases'] and all(v['exit_code']==0 for v in stages)
+        assert read(providers[pid]/'FULL-WORD.json.gz')==read(word)
+    run('entrance-controls',P/'local_controls.py','--out',w/'ENTRANCE-CONTROLS.json')
+    run('owners',P/'construct.py','--parent',base/'split-centres/GLOBAL-TEMPLATE.json.gz',
+        '--word3',providers['demote3']/'CANONICAL-WORD.json.gz','--word4',providers['demote4']/'CANONICAL-WORD.json.gz','--out',w/'constructed')
+    assert read(w/'constructed/OWNERS.json.gz')==read(P/'data/OWNERS.json.gz')
+    controls.check(read(base/'split-centres/GLOBAL-TEMPLATE.json.gz'),{pid:read(d/'CANONICAL-WORD.json.gz')for pid,d in providers.items()},w/'FLOW-CONTROLS.json')
+    independent=audit.check(base,providers,w/'constructed/OWNERS.json.gz',w/'INDEPENDENT-OWNERS.json')
+    global_work=w/'t37';global_work.mkdir();prepare.prepare(global_work,baseline,providers)
+    run('parent',global_work/'adapted/check_parent.py','--source',base/'split-centres/GLOBAL-TEMPLATE.json.gz','--parent',global_work/'lift/GLOBAL-TEMPLATE.json.gz','--out',w/'PARENT-CHECK.json')
+    result=controller.replay(global_work,providers)
+    owner=read(global_work/'strict/global/audit/OWNERS-AND-PROFILE.json')
+    assert independent['actual_73_axis_charts']==owner['actual_73column_sigmas']
+    prices=price.price(providers,w/'PRICE.json');assert prices['kappa']==result['kappa']
+    ancestry=a.ancestry799.resolve()if a.ancestry799 else w/'ancestry799'
+    if not a.ancestry799:run('cold-ancestry799',ROOT/'scripts/verify_frontier799.py','--work',ancestry)
+    cover=load(ROOT/'research/complex-t21-owners/vendor/pr858/baseline_coverage.py','fixed_baseline_coverage').check(ancestry/'ancestor')
+    binding=load(ROOT/'scripts/verify_frontier799_bindings.py','cold_ancestry_bindings').check(ancestry/'ancestor',ancestry/'native',ancestry/'global',ancestry/'INDEPENDENT-LOCAL.json',ancestry/'INDEPENDENT-PRICE.json')
+    for rel in ('split-centres/GLOBAL-TEMPLATE.json.gz','split-centres/CANONICAL-WORD.json.gz','work/complex-nine-native/DATA-PHASES.json'):
+        assert read(base/rel)==read(ancestry/'global/global/base'/rel),'Cold ancestral parent binding: '+rel
+    asm=read(global_work/'strict/ASSEMBLY.json');old=read(ancestry/'global/ASSEMBLY.json')
+    assert asm['bit_lower']==old['bit_lower'] and asm['bit_supplier']==old['bit_supplier']
+    dump(w/'ANCESTRY.json',dict(reused=bool(a.ancestry799),coverage=cover,binding=binding,archive_sha256=ARCHIVE_SHA))
+    assert package.validate()==pins,'Sources changed during verification'
+    result.update(status='PASS_MIXED_JOINT_ENTRANCES_T37_COMPLETE_ADMISSION',source_pins=pins,
+      native_providers=2,entrance_controls=11,flow_controls=8,independent_owner_controls=8,
+      ancestry_sha256=sha(w/'ANCESTRY.json'),price_sha256=sha(w/'PRICE.json'),steps=steps)
+    dump(w/'RESULT.json',result)
+    print(result['status'],result['kappa_decimal'],flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/CLAIM.json b/research/mixed-fusions-x54-t37/CLAIM.json
new file mode 100644
index 0000000000..6c8a74450a
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/CLAIM.json
@@ -0,0 +1 @@
+{"T":37,"bit_lower":"1733427039589844234749/1000000000000000000000000","calls":333,"charged_prefix_bits":1024,"comparison":{"independently_replayed_pr1050":"0.001672241870811633","joint_entrances_t37":"0.001675568675201533","pr1193_mixed_joint_entrances_t37":"0.001675672695827067","pr1201_draft_fusions_mixed_t37":"0.00167576776285696","selected_pr1042":"0.001672188119205421","selected_pr942":"0.001661960547713947","seven_slot_t37_predecessor":"0.001674097969905390","uniform_three_demotions_t37":"0.001675129371412064"},"complex_lower":"839311367867996118499/500000000000000000000000","complex_profile":{"1":783552,"2":169496,"3":137362,"4":42458,"48":11374,"5":27306,"8":2664},"deficit":11840,"idle":{"1":2,"48":11374},"kappa":"1675809683500501/1000000000000000000","kappa_decimal":"0.001675809683500501","live":33152,"physical":33642,"physical_row_coefficient":17495,"prefix_bits":775,"provider_calls":{"demote3":125,"demote4":208},"rank_mass":2408256,"roles":159840,"scope":"Finite conditional construction under the retained compiler, whole-call hosting, common-label/mutable-source realization, precision/tape, analytic-transfer and bitH1-H5 hypotheses. No unconditional theorem or kappa=1 claim.","status":"UNADMITTED_TARGET_ONLY"}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/DEPENDENCY-PINS.json b/research/mixed-fusions-x54-t37/DEPENDENCY-PINS.json
new file mode 100644
index 0000000000..515f2998da
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/DEPENDENCY-PINS.json
@@ -0,0 +1,1904 @@
+{
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+  "research/community-frontier1042-audit/BASELINE-BINDING.json": "22575ff21833fdfcfc7d67d7d9b3b433cf13a3165628ebcb9aaae239b8145472",
+  "research/community-frontier1042-audit/INDEPENDENT-T16.json": "f647dcc7b051c2766af08033afcb1427d1177b4d3ca9a467b3d9846ab2dc30fd",
+  "research/community-frontier1042-audit/RESULT.json": "bf12c6ed3b412539638b76addb40591a631609b2ab9e5ee0db1f6bbe067d0ec0",
+  "research/community-frontier1042-audit/SELECTED-SOURCE.json": "f2c1594a39facf5d634d02e8a684677831e97f41ab2e609e8c35b52c1fec814b",
+  "research/community-frontier1042-audit/STAGES.json": "ff52f110df600616b51aa657e0c1107f3c57f8fd2e89b13bb74448eb7a52984a",
+  "research/community-frontier1042-audit/T16-REPLAY.json": "1f9fd180e28b714f9c4734182db101591e1a9784748a4b54a82f1f6df9a54b56",
+  "research/community-frontier1042-audit/selected-replay.tar.gz": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754",
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+  "research/community-k492-audit/pr622/replay/baseline558/RECEIPT.json": "dee320a71985660f1ea7715f652fda110fe172a51a1194ac433734ccdce1e14c",
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+  "research/community-k492-audit/pr622/replay/baseline558/reconstruction/syndrome/SYNDROME-CERTIFICATE.json": "56961ff2c99816751e051f8fe12ce01fc2be017a074917ed58b7004b13d08cf8",
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+  "research/community-k492-audit/pr622/replay/baseline558/reconstruction/weighted/WEIGHTED-COSET-REPLAY.json": "1661a17a2a7f717fb27bb943f500756edaeff392787d20838264e4aa6d035454",
+  "research/community-k492-audit/pr622/replay/baseline558/two-engine-exact-assembly.log": "b50e71a1c084e221ca32b43001f5383c8cffb09d72e66b1436f22aa240795a9c",
+  "research/complex-k492-owner-repair/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+  "research/complex-k492-owner-repair/MANIFEST.json": "c9d1bcb0c65de86a7554711212d4bb5e7490b3bc69d918f957b99a68a832144b",
+  "research/complex-k492-owner-repair/NOTICE.md": "e7e934433919b73f6088a68a444eed4cea029638ae7b0df3fde15099d5369fd1",
+  "research/complex-k492-owner-repair/PROOF-COMMUTING-PREFIX.md": "59899b2a1a76d88275e57f983c0aea391dc2c7f1d2d66c33b92429be0a1cf5e1",
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diff --git a/research/mixed-fusions-x54-t37/MANIFEST.json b/research/mixed-fusions-x54-t37/MANIFEST.json
new file mode 100644
index 0000000000..33bd52c9e6
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/MANIFEST.json
@@ -0,0 +1,78 @@
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+  "native.py": "1fb596fbafdb19140f483cd34db2994c571e3b962e33b8ea9b3ddc486e37def6",
+  "package.py": "cde0b2d66125649ee84440fc0a67f0d91f900fc838fbda069b579422289ea3be",
+  "prepare.py": "9fe454a5f857ff73c70a5b276bc9e289422b051a4cbbbb51123a91bb2200e6d8",
+  "price.py": "d45042f4c1fea352349377b43def363cf75a742546a1d5c790ad30da91791803",
+  "vendor/pr1148/JOINT-WORD.json.gz": "a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718",
+  "vendor/pr1148/NOTICE.md": "afbd38d6c8a232ea566c296424a86420f204e6cfaac565c0a147340bda3d3da6",
+  "vendor/pr1148/PLAN.json.gz": "e963ed64b9970858902b9388bcf1c5f9cc704859ad021ce8bda465a4dcef8310",
+  "vendor/pr1148/SPEC.json": "55bdb68d5d126c6be0e0acc419bd62301a978afd514f9834ed1e08b1aa4f563e",
+  "vendor/pr1148/k8-coordinated-owners-NOTICE.md": "442756fc1c5ecfd7b7b7694b53b1ecc70aa525004cd80f7d748ccd7270555189",
+  "vendor/pr1148/k8-eight-ends-NOTICE.md": "820fa13161f857c221f2c4099dd2985c7ff72249dc7a0221bc00fd0c1b9760e5",
+  "vendor/pr1148/k8-eight-ends-t16-NOTICE.md": "a9e85b59dde61fbff0b006923b441cbd1419e24fa9802426785bca667437fdc0",
+  "vendor/pr1148/k8-three-demotions-NOTICE.md": "a0fe85fb2207f0e6831a96deaeefb65afa379c1377a29f0b586f1db4bb4b2137",
+  "vendor/pr1152/NOTICE.md": "8e556b5407a49d9a07eb1d3de1d3c4d331fcab24d223af8f72b91048dbbac70a",
+  "vendor/pr1152/construct.py": "ba8303351220727e5602730fabade5b2630eff61dd9b7173a259ffc535ee88c6",
+  "vendor/pr1152/controls.py": "963fc23e72277fbec0e105917f9cc18595f18a806ac90d9d4a279c1fe1e76033",
+  "verify.py": "da101d4dbc5eacdc0ffc410d164d1d1cfbea9be4755e7fcc8d70f8df47baf657"
+}
diff --git a/research/mixed-fusions-x54-t37/NOTICE.md b/research/mixed-fusions-x54-t37/NOTICE.md
new file mode 100644
index 0000000000..48e293ab9c
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/NOTICE.md
@@ -0,0 +1,30 @@
+SPDX-License-Identifier: Apache-2.0
+Composition notice (this package, research/mixed-fusions-x54-t37)
+
+This package composes published work. No authorship of those constructions is claimed:
+
+- Jeremy Diviney's PR1193 mixed T37 construction. Its package code, flow, owners and notices below are retained.
+- Marius-Paul Dumitrean's (mdumitrean) PR1195 two source-holder fusions, using the frame tools of PR1186.
+- Jeremy Kothe's (jeremykothe2) PR1130 X54/E589 slot, in Rohan Arun's (rohanarun) PR1178 rebased recipe; NewBArch's triangle-hybrid move.
+- Thomas DiFiore's (tomdif) PR1148 joint-entrance word.
+
+Rohan Arun's PR1201 is a concurrent draft. It nominates the fusions on PR1192's mixed map, without X54 and without full admission. Its payload is not used.
+
+New in this package: the three-way composition of both words, the literal recipes, the composition controls, the rebound plan and spec, and the receipts.
+This package was prepared for Joel Pulikkan (GamingPuzzled) by Claude Opus 5.5 (Anthropic) via Claude Code, under Apache-2.0.
+
+---
+
+Prepared for Jeremy Diviney with substantial OpenAI Codex assistance.
+
+This contribution is the heterogeneous D3/D4 call dispatch, exact integer pattern-flow nomination, literal whole-helper matching realization, independent call-indexed audit, and complete composition of the resulting witness. It builds directly on the following work and does not claim authorship of those constructions.
+
+* Thomas DiFiore / PR1148, source head `3ba07f19` (full commit and file digests in SOURCE-PINS.json), supplies the joint-entrance D3 word. The complete raw word and notices are retained in vendor/pr1148. Its joint choice builds on seslly / shipstuff PR1111's group-635 demotion lead, PR664's promotion idea, and the preceding k8 coordinated/eight-endpoint/three-demotion packages.
+* D4 uses PR1148's already explored codimension-one group-627 entrance and the PR864 frame model (navinor / Claude), as adapted by Thomas DiFiore. Our discovery refit uses that model. Reproduction uses a frozen old/new recipe and exact independent native checks, not the optimizer.
+* `construct.py`, `controls.py`, and the initial T37 wrapper structure derive from Chafik Boukhalfa's PR1152 (head `d376209304f0…`). The perfect-matching technique and owner-flow lineage also credit Ali Romman / PR1129, PR1131's wave ordering, and Hao Yan / FanPUYen's PR858 physical windows. Upstream copies and exact digests identify the adapted sources.
+* The independent geometry checker is retained PR890, adapted from Hao Yan's PR858 checker; the signed prices and all-replica reasoning credit Chafik Boukhalfa's PR795/890 and jon314159's PR942. Retained PR870/1074 code provides strict multi-provider bindings and mutations. The T37 geometry adapters are PR942's retained source, with explicit, hash-recorded changes.
+* Rohan Arun's concurrent PR1169 reached the uniform joint-entrance T37 target 0.001675568675201533 while this mixed-dispatch experiment was running. Our initial uniform result tied its earlier version. This submission instead mixes two words and claims only the additional improvement stated here. PR1169's payload is not used by this verifier.
+* PR1176 and PR1183 concurrently explored mixed-provider gap augmentation. Their payloads are not consumed. PR1183's observed head `2dc3d14f54bac2a97811ea27f095bd7b6e28da40` nominates 69 extra group instances by local exchanges; this package independently reconstructs a global integer flow supporting 208. The mixed-provider idea is not claimed as exclusive to this submission.
+* Retain PR1018 and Rohan Arun's PR987 scalar-word ancestry, PR1030's endpoint lead, E8/k8/frame and controller predecessors, PR589's unchanged bit supplier, the PR559 recurrence correction, and all original notices in the retained repository dependency closure.
+
+All-source and package manifests preserve exact immutable source identities. Generated compression and phase timing are treated according to the repository's reproducibility policy. No unconditional theorem, full formal proof, search optimality, or observed runtime improvement is claimed.
diff --git a/research/mixed-fusions-x54-t37/PROOF.md b/research/mixed-fusions-x54-t37/PROOF.md
new file mode 100644
index 0000000000..aa252ea18c
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/PROOF.md
@@ -0,0 +1,72 @@
+# Accounting and finite witness (fusions + X54 on PR1193's mixed T37 construction)
+
+This package keeps PR1193's dispatch, flow and owners unchanged. It replaces both local words:
+
+- PR1195's two source-holder fusions (X=439 and X=444) are applied to each word.
+- PR1130's X54/E589 slot, in PR1178's rebased recipe, is applied to each word.
+
+The derivation below is PR1193's. Profiles and the final value have been updated to the composed words.
+Section "Composition" at the end states the new parts.
+
+Let D3 be the joint-entrance word from Thomas DiFiore's updated PR1148, with entrance groups 603, 611 and 635 demoted. Before composition its local profile is `{1:2364,2:498,3:412,4:130,5:82,8:8}` and its 480 helper widths have inventory `{4:44,5:44,7:38,8:114,9:240}`.
+
+D4 additionally changes helpers 627, 629, 630 and 631 to entrance subspace `[68,34,24,1]`. Twelve B-frame assignments are refitted. The scalar operations, registers, coefficients, ordering, ports and centre interface stay identical. The explicit old/new recipe is in `data/FOUR-RECIPE.json`; fresh exact native replay decides validity, independently of the floating frame search.
+
+Before composition D4's profile is `{1:2356,2:506,3:416,4:126,5:82,8:8}` and its width inventory is `{4:40,5:48,7:38,8:114,9:240}`. Thus each substitution changes the local profile by `−8H1+8H2+4H3−4H4` and increases occupied helper width by four.
+
+The frozen dispatch has 125 D3 and 208 D4 calls on the PR1131/1152 wave order, sorted by `(37*stage+8*replica,stage,replica)`. The source-event geometry is the retained PR942 five-bank T37 lift. There are 33,152 live and 33,642 physical wires. No call is fragmented; each of its 480 helpers belongs to a distinct available physical family.
+
+The flow uses these nine bin patterns (a zero-width pattern means empty):
+
+| Capacity | Pattern | Count |
+| --- | --- | ---: |
+| 8 | 8 | 20,556 |
+| 8 | 4+4 | 4,308 |
+| 16 | 8+8 | 6,102 |
+| 16 | 7+9 | 10,474 |
+| 32 | 5+9+9+9 | 15,484 |
+| 32 | 4+9+9+9 | 2 |
+| 32 | 7+7+9+9 | 1,090 |
+| 48 | empty | 11,374 |
+| 48 | 4+8+9+9+9+9 | 5,202 |
+
+`construct.py` checks exact pattern and call-width conservation, legal physical windows, and every integral flow entry. For each physical window group and pattern it completes the flow to a regular bipartite multigraph, decomposes it into perfect matchings, and assigns actual helpers of the nominated provider. This yields all 159,840 literal roles. The independent audit separately reconstructs the source events, strict bridge boundaries, physical family identities, 73-axis charts, occupied prefixes and complete per-call width inventories. It reads and recounts both admitted local words and selects them using the frozen call dispatch; it does not import the owner constructor or controller auditor.
+
+The resulting idle profile is `{1:2,48:11374}`. Adding it to the two local profiles weighted by their exact call counts gives:
+
+`{1:783552,2:169496,3:137362,4:42458,5:27306,8:2664,48:11374}`, using the composed profiles D3' = `{1:2358,2:504,3:410,4:130,5:82,8:8}` and D4' = `{1:2350,2:512,3:414,4:126,5:82,8:8}`.
+
+Its rank mass is 2,408,256 and deficit is 11,840. The global prefix bound is 775 bits, below the charged 1,024; the finite physical row coefficient is 17,495, below 20,161. Those charges are checked by the complete retained invoice and independent owner audit, not inferred merely from profile feasibility.
+
+The PR795/890 signed prices explain the choice of mixture. The uniform D3 inventory has rank-one dual credit 20,850 per replica. Each extra demotion group consumes 3,700 units. Across 37 replicas the budget is 771,450, permitting 208 such substitutions while leaving credit 1,850, exactly two rank-one idle units at 925 each. This guides the search; the literal witness and full admission are still required. It is not a proof of optimality for mixed suppliers.
+
+The two retained rational engines bracket the complex root and the unchanged full PR589 supplier supplies the bit endpoint. `CLAIM.json` records the exact rational choices. The strict outer assembly selects κ = `1675809683500501/1000000000000000000`. The conditions and scope are the same as the retained framework; finite certificate success does not discharge the all-size multiplication theorem.
+
+## Composition
+
+Write J for PR1148's joint-entrance word.
+
+- F is PR1195's two-fusion word. Its change from J is `{1:-6,2:+6,3:-4,4:+4,5:-2}`.
+- X is J with PR1178's X54 recipe. Its change from J is `{3:+2,4:-4,5:+2}`.
+- D4 is J with PR1193's group-627 recipe.
+
+Relative to J, the three edit sets touch disjoint ranges of A and B. The only overlaps are:
+
+- The cleanup front: X54 prepends its holder-335 FULL restore, and F reorders and inserts its holder restores.
+- The early-cleanup list. Here X54 appends its holder-367 tail gate and registers it first.
+
+The merged words keep:
+
+- X54's prepend first and its tail gate last in cleanup;
+- F's cleanup otherwise;
+- F's early list, with the X54 tail entry first.
+
+The composed words are D3' = J+F+X and D4' = D4+F+X.
+
+Neither edit changes an entrance, an end frame, a port or the centre interface. Both widths are therefore unchanged, and PR1193's literal owners and flow remain valid without change. Validity is established by the exact checks, not by the merge rule:
+
+- the exact independent local audit and the fresh native replay of both words;
+- 28 composition controls: removing any inserted fusion or X54 gate from either word is rejected;
+- strict global admission.
+
+Both words' profile changes are exactly additive, `{1:-6,2:+6,3:-2}`.
diff --git a/research/mixed-fusions-x54-t37/README.md b/research/mixed-fusions-x54-t37/README.md
new file mode 100644
index 0000000000..ea2e7e9aec
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/README.md
@@ -0,0 +1,79 @@
+# Source-holder fusions and the X54 slot on PR1193's mixed T37 construction
+
+Conditional **κ = 0.001675809683500501** (`1675809683500501/10^18`).
+
+This package composes three published local-word changes with Jeremy Diviney's PR1193 mixed T37 construction. The owners are unchanged.
+
+1. **PR1193** (jeremydiviney), `research/mixed-demotions-t37`. This is the base: 125 calls of PR1148's joint-entrance word (D3) and 208 calls of its four-group variant (D4). The variant adds entrance group 627. The package keeps PR1193's frozen integer flow, owners, call order and dispatch, all unchanged.
+2. **PR1195** (mdumitrean). Two source-holder fusions replace the two-donation triangle-hybrid slots at X=439 and X=444. Their refitted frames are taken from PR1195's word.
+3. **PR1130** (jeremykothe2). The eighth triangle-hybrid slot X54/E589, with holders 335 and 367, in the recipe that PR1178 (rohanarun) rebased.
+
+Both edits are width-neutral. They change no entrance, end, port or centre interface. The helper inventories therefore stay `{4:44,5:44,7:38,8:114,9:240}` (D3) and `{4:40,5:48,7:38,8:114,9:240}` (D4). PR1193's owners stay valid, with idle `{1:2,48:11374}`. Only the local profiles change:
+
+| provider | calls | PR1193 profile | this package |
+| --- | ---: | --- | --- |
+| D3 | 125 | `{1:2364,2:498,3:412,4:130,5:82,8:8}` | `{1:2358,2:504,3:410,4:130,5:82,8:8}` |
+| D4 | 208 | `{1:2356,2:506,3:416,4:126,5:82,8:8}` | `{1:2350,2:512,3:414,4:126,5:82,8:8}` |
+
+Each word has the profile change `{1:-6,2:+6,3:-2,4:0,5:0}`. This is the sum of the fusion change `{1:-6,2:+6,3:-4,4:+4,5:-2}` and the X54 change `{3:+2,4:-4,5:+2}`.
+
+## Composition
+
+The fusion edits (PR1195 versus PR1148's joint word) and the X54 edits (the PR1178 recipe applied to the joint word) touch disjoint ranges of A and B. PR1193's group-627 edits are also disjoint from both. Cleanup and early cleanup are merged semantically:
+
+- The X54 prepended restore goes first in cleanup.
+- The X54 tail gate goes last in cleanup.
+- The early entry for the X54 tail gate stays first in the early list.
+
+`discovery/compose.py` records this merge. The verifier does not run it. Both final words are frozen as literal sequence-diff recipes from PR1148's joint word: `data/RECIPE-THREE.json` and `data/RECIPE-FOUR.json`. Each recipe checks every removed base element and pins its output.
+
+## Verification
+
+```sh
+OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 python -B research/mixed-fusions-x54-t37/verify.py --work /new/dir
+# PASS_MIXED_FUSIONS_X54_T37_COMPLETE_ADMISSION 0.001675809683500501
+```
+
+This is PR1193's verifier with two additions. It first builds both words from the frozen recipes, and it also runs `composition_controls.py`. The full set of checks is:
+
+- **Native and local replay (both new words):**
+  - independent exact `audit_local` (all 704 columns, both orientations);
+  - fresh PR635 native chain, including every phase edge.
+- **Local controls:**
+  - PR1193's 11 entrance controls on the new D4 word;
+  - **28 new composition controls:** each of the 14 B/cleanup gates inserted by the fusions and X54 is removed in turn from each word, and the exact local audit must reject every mutant.
+- **Owners and audit:**
+  - PR1193's unchanged owner reconstruction (frozen owners must match);
+  - 8 flow controls;
+  - independent owner audit;
+  - parent check.
+- **Strict admission:**
+  - bind, emit and controller audit with 23 mutations;
+  - full invoice: prefix 775 < 1024, row 17,495 < 20,161;
+  - assembly with all 47 outer inequalities;
+  - 114 admission and 12 bit-supplier controls.
+- **Pricing and ancestry:**
+  - two-engine price;
+  - cold PR589/741/799 ancestry replay (reusable with `--ancestry799`).
+
+`data/PLAN.json.gz` keeps PR1193's plan; only the provider identities and the profile are rebound. `data/SPEC.json` was re-frozen through the engines' discovery → freeze protocol. Against PR1193's SPEC, only the global profile, κ and the complex-root fields change. Receipts are in `evidence/`.
+
+## Changes relative to PR1193's `research/mixed-demotions-t37`
+
+- `build_word.py` builds both words from frozen recipes; it previously built D4 only, with D3 taken as the raw joint word.
+- `verify.py` builds both words, runs the composition controls and uses a new final marker.
+- New files:
+  - `composition_controls.py`;
+  - `data/RECIPE-THREE.json` and `data/RECIPE-FOUR.json`;
+  - `data/THREE-WORD.json.gz`;
+  - `discovery/compose.py`.
+- Updated files:
+  - `data/FOUR-WORD.json.gz` (the D4 word with fusions and X54);
+  - `data/PLAN.json.gz` and `data/SPEC.json`;
+  - `CLAIM.json`, `MANIFEST.json` and `evidence/`.
+- Unchanged files:
+  - `data/FLOW.json.gz`, `data/OWNERS.json.gz`, `data/MIX.json`, `data/ORDER.json` and `data/FOUR-RECIPE.json`;
+  - `construct.py`, `audit.py`, `controller.py`, `prepare.py` and `price.py`;
+  - vendored sources.
+
+Scope: all-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and exact recovery, analytic transfer, PR559 recurrence correction and bit H1–H5 obligations remain. No unconditional theorem and no optimality claim for mixed words.
diff --git a/research/mixed-fusions-x54-t37/SOURCE-PINS.json b/research/mixed-fusions-x54-t37/SOURCE-PINS.json
new file mode 100644
index 0000000000..dcfb60ec38
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/SOURCE-PINS.json
@@ -0,0 +1,29 @@
+{
+  "allocation_solver": {
+    "not_required_for_verification": true,
+    "seed": 836,
+    "source_sha256": "e126848aa68a85854aa69b736ae5159261dd43f9385806f26c36397139603289",
+    "status": "OPTIMAL feasible integer witness",
+    "tool": "OR-Tools CP-SAT",
+    "workers": 2
+  },
+  "commits": {
+    "main": "ce7ad1b6ab09452c3478723a2e96ed5ff212dc08",
+    "pr1148": "3ba07f190e64bf7748f669d40fc5c37f77ce5dc4",
+    "pr1152": "d376209304f05551f975b0ddf6eaa84edc4ae31a",
+    "pr1169_observed_not_consumed": "c79df8e3c61676445f8e1782814450199d8221e6"
+  },
+  "immutable_inputs": {
+    "vendor/pr1148/JOINT-WORD.json.gz": "a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718",
+    "vendor/pr1148/NOTICE.md": "afbd38d6c8a232ea566c296424a86420f204e6cfaac565c0a147340bda3d3da6",
+    "vendor/pr1148/PLAN.json.gz": "e963ed64b9970858902b9388bcf1c5f9cc704859ad021ce8bda465a4dcef8310",
+    "vendor/pr1148/SPEC.json": "55bdb68d5d126c6be0e0acc419bd62301a978afd514f9834ed1e08b1aa4f563e",
+    "vendor/pr1148/k8-coordinated-owners-NOTICE.md": "442756fc1c5ecfd7b7b7694b53b1ecc70aa525004cd80f7d748ccd7270555189",
+    "vendor/pr1148/k8-eight-ends-NOTICE.md": "820fa13161f857c221f2c4099dd2985c7ff72249dc7a0221bc00fd0c1b9760e5",
+    "vendor/pr1148/k8-eight-ends-t16-NOTICE.md": "a9e85b59dde61fbff0b006923b441cbd1419e24fa9802426785bca667437fdc0",
+    "vendor/pr1148/k8-three-demotions-NOTICE.md": "a0fe85fb2207f0e6831a96deaeefb65afa379c1377a29f0b586f1db4bb4b2137",
+    "vendor/pr1152/NOTICE.md": "8e556b5407a49d9a07eb1d3de1d3c4d331fcab24d223af8f72b91048dbbac70a",
+    "vendor/pr1152/construct.py": "ba8303351220727e5602730fabade5b2630eff61dd9b7173a259ffc535ee88c6",
+    "vendor/pr1152/controls.py": "963fc23e72277fbec0e105917f9cc18595f18a806ac90d9d4a279c1fe1e76033"
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/audit.py b/research/mixed-fusions-x54-t37/audit.py
new file mode 100644
index 0000000000..a350fcec65
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/audit.py
@@ -0,0 +1,79 @@
+"""Independent call-indexed local recount and PR890 literal owner geometry audit.
+
+The owner constructor and emitted controller are never imported. Both native
+words are independently recounted, then selected by the frozen call dispatch.
+Every modification to the retained geometric checker is explicit and hashed.
+"""
+import argparse, copy
+from collections import Counter
+from pathlib import Path
+from common import P,ROOT,read,dump,load,sha
+
+INVENTORIES={'demote3':{4:44,5:44,7:38,8:114,9:240},'demote4':{4:40,5:48,7:38,8:114,9:240}}
+
+def check(base,providers,owners_path,out):
+    source=ROOT/'research/complex-t21-owners/independent_check.py'
+    text=source.read_text()
+    edits=[('2 * 512','2 * 1024'),('prefix < 512','prefix < 1024'),
+      ('charged_prefix_bits=512','charged_prefix_bits=1024'),
+      ('Counter(widths) == {4: 80, 5: 32, 7: 54, 8: 122, 9: 216}',
+       'Counter(widths) in ({4:44,5:44,7:38,8:114,9:240},{4:40,5:48,7:38,8:114,9:240})'),
+      ("width == c['widths'][helper]", "width == c['widths_by_call'][call][helper]"),
+      ("Counter({rank: 9 * T * count for rank, count in c['paid'].items()})", "Counter(c['paid_total'])"),
+      ("max(x['prefix_bits_upper'] for x in c['replay']['local'].values())", "c['localbits']"),
+      ("local_profile=dict(sorted(c['paid'].items())), width_inventory=dict(sorted(Counter(c['widths']).items())),", "local_profiles=c['local_profiles'], width_inventories=c['inventories'], provider_call_counts=c['call_counts'],"),
+      ("if context['callpos'][key] >= hi", "if context['callpos'][key] >= hi and context['widths_by_call'][key][z['helper']] == z['width']")]
+    for before,after in edits:
+        assert text.count(before)==1,(before,text.count(before));text=text.replace(before,after)
+    adapter=out.parent/'mixed_independent_owner_adapter.py';assert not adapter.exists();adapter.write_text(text)
+    ck=load(adapter,'independent_mixed_owner_checker');ck.T=37;ck.R=480;ck.EXPECTED_IDLE={1:2,48:11374}
+    refs=[base/'split-centres/GLOBAL-TEMPLATE.json.gz',base/'work/complex-nine-native/DATA-PHASES.json',
+          base/'split-centres/CANONICAL-WORD.json.gz',owners_path,P/'data/MIX.json',P/'data/ORDER.json']
+    parent,phases,canonical,owners,mix,order=map(read,refs)
+    assert [[s,r]for pid,s,r in mix]==order
+    assert len({(s,r)for pid,s,r in mix})==333
+    counts=Counter(pid for pid,s,r in mix);assert counts=={'demote3':125,'demote4':208}
+    assert set(providers)==set(counts)
+    widths={};paid={};words={};receipts={};bits=[]
+    for pid,directory in sorted(providers.items()):
+        paths=[directory/'CANONICAL-WORD.json.gz',directory/'INDEPENDENT-LOCAL-REPLAY.json'];refs+=paths
+        word,receipt=map(read,paths);words[pid]=word;receipts[pid]=receipt
+        assert receipt['canonical_word_sha256']==sha(paths[0])
+        assert receipt['status']=='PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY'
+        assert word['ports']==canonical['ports']
+        assert [ck.basis(word['frames'][f])for f in word['center_frames']]==[ck.basis(canonical['frames'][f])for f in canonical['center_frames']]
+        widths[pid],paid[pid]=ck.local_inventory(word,receipt)
+        assert Counter(widths[pid])==INVENTORIES[pid]
+        bits.extend(v['prefix_bits_upper']for v in receipt['local'].values())
+    context=ck.make_context(parent,phases,words['demote3']['ports'],words['demote3'],receipts['demote3'],owners)
+    assert [list(k)for k in context['order']]==order
+    total=Counter()
+    for pid,s,r in mix:total.update(paid[pid])
+    context.update(widths_by_call={(s,r):widths[pid]for pid,s,r in mix},paid_total=total,localbits=max(bits),
+      local_profiles={pid:dict(v)for pid,v in paid.items()},inventories=INVENTORIES,call_counts=dict(counts))
+    result=ck.check_roles(context,owners);result['controls_rejected']=ck.controls(context,owners)
+    # Substituting the other admitted word changes four specific whole-helper
+    # widths. Keep the geometry fixed and require rejection at that predicate.
+    for pid in sorted(providers):
+        call=next((s,r)for p,s,r in mix if p==pid);bad=copy.copy(context)
+        bad['widths_by_call']=dict(context['widths_by_call'])
+        bad['widths_by_call'][call]=widths['demote4'if pid=='demote3'else'demote3']
+        try:ck.check_roles(bad,owners)
+        except ValueError as e:
+            assert str(e)=='whole-helper residual width'
+            result['controls_rejected'].append(dict(name='wrong_provider_'+pid,reason=str(e)))
+        else:raise AssertionError('wrong provider accepted')
+    result.update(edits=edits,source_sha256=sha(source),adapter_sha256=sha(adapter),inputs={str(p):sha(p)for p in refs})
+    claim=read(P/'CLAIM.json')
+    for field in ('roles','calls','live','physical','rank_mass','deficit','prefix_bits','physical_row_coefficient'):
+        assert result[field]==claim[field],field
+    assert {str(r):n for r,n in result['profile'].items()}==claim['complex_profile']
+    dump(out,result);return result
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('base','local3','local4','owners','out'):ap.add_argument('--'+k,type=Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT)
+    out.parent.mkdir(parents=True,exist_ok=True)
+    r=check(a.base,{'demote3':a.local3,'demote4':a.local4},a.owners,out);print(r['status'],r['roles'],flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/build_word.py b/research/mixed-fusions-x54-t37/build_word.py
new file mode 100644
index 0000000000..d15482859a
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/build_word.py
@@ -0,0 +1,44 @@
+"""Build both provider words from PR1148's joint-entrance word by frozen literal patches, without optimization.
+
+data/RECIPE-THREE.json: PR1195's two source-holder fusions (X=439, X=444) and the PR1130/PR1178 X54/E589 slot.
+data/RECIPE-FOUR.json: the same edits plus PR1193's four-helper entrance group 627 (data/FOUR-RECIPE.json).
+Each recipe lists, for every changed list section, sequence-diff operations [tag, start, end, removed, added]
+whose removed base elements are checked before use; whole replaced dictionary sections; and the report.
+Base and output payloads are pinned. discovery/compose.py records how the recipes were composed.
+"""
+import argparse,copy,gzip,hashlib,json
+from pathlib import Path
+from common import P,read,sha
+
+def apply(base,recipe):
+    w=copy.deepcopy(base)
+    for sec,ops in recipe['sections'].items():
+        old=base[sec];out=[];pos=0
+        for tag,i1,i2,removed,added in ops:
+            assert tag in ('replace','delete','insert') and i1>=pos and old[i1:i2]==removed,(sec,tag,i1,i2)
+            out+=old[pos:i1]+added;pos=i2
+        w[sec]=out+old[pos:]
+    for key,value in recipe['replaced'].items():
+        assert key in base and not isinstance(base[key],list);w[key]=value
+    w['report']=recipe['report']
+    return w
+
+def build(out3,out4):
+    raw=gzip.decompress((P/'vendor/pr1148/JOINT-WORD.json.gz').read_bytes());base=json.loads(raw)
+    result={}
+    for name,out in (('THREE',out3),('FOUR',out4)):
+        assert not out.exists()
+        recipe=read(P/('data/RECIPE-%s.json'%name))
+        assert hashlib.sha256(raw).hexdigest()==recipe['base_content_sha256'],'joint word pin'
+        data=json.dumps(apply(base,recipe),separators=(',',':')).encode()
+        assert hashlib.sha256(data).hexdigest()==recipe['output_content_sha256'],'output pin '+name
+        assert json.loads(data)==read(P/('data/%s-WORD.json.gz'%name))
+        out.write_bytes(gzip.compress(data,mtime=0))
+        result[name.lower()]=dict(content_sha256=recipe['output_content_sha256'],recipe_sha256=sha(P/('data/RECIPE-%s.json'%name)))
+    four=read(P/'data/FOUR-RECIPE.json');word4=read(out4)
+    for helper,old,new in four['start_extra']:assert word4['start_extra'][helper]==new
+    return dict(status='PASS_FROZEN_FUSIONS_X54_RECIPES',source_sha256=sha(P/'vendor/pr1148/JOINT-WORD.json.gz'),**result)
+
+if __name__=='__main__':
+    ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--out3',type=Path,required=True);ap.add_argument('--out4',type=Path,required=True);a=ap.parse_args()
+    print(build(a.out3,a.out4)['status'])
diff --git a/research/mixed-fusions-x54-t37/common.py b/research/mixed-fusions-x54-t37/common.py
new file mode 100644
index 0000000000..4af6dc3374
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/common.py
@@ -0,0 +1,26 @@
+"""Strict shared I/O; construction and independent audit remain separate."""
+import gzip, hashlib, importlib.util, json, sys
+from pathlib import Path
+P=Path(__file__).resolve().parent
+ROOT=P.parents[1]
+if not __debug__:raise RuntimeError('Assertions must remain enabled')
+def read(path):
+    path=Path(path);raw=path.read_bytes()
+    return json.loads(gzip.decompress(raw)if path.suffix=='.gz'else raw)
+def canonical(value):return json.dumps(value,sort_keys=True,separators=(',',':')).encode()
+def sha(path):return hashlib.sha256(Path(path).read_bytes()).hexdigest()
+def identity(value):return hashlib.sha256(canonical(value)).hexdigest()
+def dump(path,value):
+    raw=canonical(value)
+    if path.suffix=='.gz':
+        raw=bytearray(gzip.compress(raw,mtime=0));raw[9]=255
+    path.write_bytes(raw)
+def load(path,name):
+    previous=sys.modules.pop('common',None);sys.path.insert(0,str(path.parent))
+    try:
+        spec=importlib.util.spec_from_file_location(name,path)
+        module=importlib.util.module_from_spec(spec);sys.modules[name]=module;spec.loader.exec_module(module)
+        return module
+    finally:
+        sys.path.pop(0);sys.modules.pop('common',None)
+        if previous is not None:sys.modules['common']=previous
diff --git a/research/mixed-fusions-x54-t37/composition_controls.py b/research/mixed-fusions-x54-t37/composition_controls.py
new file mode 100644
index 0000000000..82232d60df
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/composition_controls.py
@@ -0,0 +1,36 @@
+"""Semantic rejection controls for the composed fusion and X54 edits.
+
+For both provider words, every scalar gate that RECIPE-THREE/RECIPE-FOUR inserts into B or cleanup
+(PR1195 fusion donations/restores and PR1130 X54 donations/restores) is removed in turn, and each
+mutant must be rejected by the independent exact local audit.
+"""
+import argparse,contextlib,copy,gzip,importlib.util,io,json,tempfile
+from pathlib import Path
+P=Path(__file__).resolve().parent;ROOT=P.parents[1]
+def main():
+    assert __debug__
+    ap=argparse.ArgumentParser();ap.add_argument('--out',type=Path,required=True);a=ap.parse_args();assert not a.out.exists()
+    spec=importlib.util.spec_from_file_location('audit',ROOT/'research/gauge44-slots/independent/audit_local.py')
+    A=importlib.util.module_from_spec(spec);spec.loader.exec_module(A)
+    rejected=[]
+    with tempfile.TemporaryDirectory(prefix='fusion-x54-controls-') as d:
+        d=Path(d)
+        for name in ('THREE','FOUR'):
+            word=json.loads(gzip.decompress((P/('data/%s-WORD.json.gz'%name)).read_bytes()))
+            recipe=json.loads((P/('data/RECIPE-%s.json'%name)).read_text())
+            gates=[(sec,g) for sec in ('B','cleanup') for t,i1,i2,rem,add in recipe['sections'][sec]
+                   for g in add if t=='insert' and g not in rem]
+            for sec,g in gates:
+                w=copy.deepcopy(word);i=w[sec].index(g);del w[sec][i]
+                if sec=='cleanup':
+                    w['early_cleanup']=[[j-(j>i),U] for j,U in w['early_cleanup'] if j!=i]
+                f=d/'mutant.json.gz';f.write_bytes(gzip.compress(json.dumps(w).encode(),mtime=0))
+                label='%s-drop-%s-%s'%(name,sec,g[:3])
+                try:
+                    with contextlib.redirect_stdout(io.StringIO()):A.run(f,d/'audit.json',ROOT)
+                except RuntimeError as e:rejected.append(dict(control=label,reason=str(e)[:200]));continue
+                raise AssertionError('control admitted: '+label)
+    assert len(rejected)==28
+    a.out.write_text(json.dumps(dict(status='PASS_FUSION_X54_SEMANTIC_CONTROLS',rejected=rejected),indent=2)+'\n')
+    print('PASS',len(rejected),'composition controls')
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/construct.py b/research/mixed-fusions-x54-t37/construct.py
new file mode 100644
index 0000000000..00429f1e62
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/construct.py
@@ -0,0 +1,116 @@
+"""Expand the frozen integer pattern flows without a solver or third-party library.
+
+Credit: PR858 physical windows; local promo4 pattern-flow formulation; standard
+regular bipartite multigraph decomposition by successive perfect matchings.
+Every matching and every integer conservation equation is checked explicitly.
+"""
+import argparse
+from collections import Counter,defaultdict,deque
+from common import P,ROOT,read,dump,load,identity,sha
+
+def matching(A):
+    n=len(A);left=[-1]*n;right=[-1]*n
+    while True:
+        distance=[-1]*n;q=deque()
+        for u in range(n):
+            if left[u]<0:distance[u]=0;q.append(u)
+        while q:
+            u=q.popleft()
+            for v in sorted(A[u]):
+                z=right[v]
+                if z>=0 and distance[z]<0:distance[z]=distance[u]+1;q.append(z)
+        def augment(u):
+            for v in sorted(A[u]):
+                z=right[v]
+                if z<0 or(distance[z]==distance[u]+1 and augment(z)):
+                    left[u]=v;right[v]=u;return True
+            distance[u]=-1;return False
+        count=sum(augment(u) for u in range(n)if left[u]<0)
+        if all(v>=0 for v in left):break
+        assert count,'Regular bipartite graph has no perfect matching'
+    assert sorted(left)==list(range(n)) and all(A[u][v]>0 for u,v in enumerate(left))
+    return left
+
+def construct(parent,words,flow,order,mix):
+    expected_order=sorted([[s,r]for s in range(9)for r in range(37)],key=lambda k:(37*k[0]+8*k[1],k[0],k[1]))
+    assert order==expected_order,'Frozen wave order'
+    mod=load(ROOT/'research/complex-t21-owners/vendor/pr870/t16/build_parent.py','original_actual_windows')
+    windows,schedule=mod.actual_windows(parent,order)
+    original=read(P/'vendor/pr1148/PLAN.json.gz')
+    assert [[s,r] for pid,s,r in mix]==order
+    assert Counter(pid for pid,s,r in mix)=={'demote3':125,'demote4':208}
+    inventories={'demote3':{4:44,5:44,7:38,8:114,9:240},'demote4':{4:40,5:48,7:38,8:114,9:240}}
+    widths={}
+    for pid,word in words.items():
+        widths[pid]=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,224+word['R'])]
+        assert Counter(widths[pid])==inventories[pid]
+    pools=defaultdict(list)
+    for t,(pid,s,r) in enumerate(mix):
+        for h,w in enumerate(widths[pid]):pools[t,w].append(h)
+    roles=[];seen=set();flow_edges=0;bin_count=0
+    for group in flow:
+        keys=group['physical_windows'];assert keys and len(keys)==len(set(keys))
+        assert not seen.intersection(keys);seen.update(keys)
+        cap,times=windows[keys[0]]
+        assert all(windows[key]==[cap,times]for key in keys)
+        n=len(times);portbase=0
+        for pattern in group['patterns']:
+            widths_p=pattern['widths'];N=pattern['count'];flows={}
+            assert type(N)is int and 0<N<=112*len(keys)
+            assert all(type(w)is int and w in (4,5,7,8,9)for w in widths_p)
+            assert widths_p==sorted(widths_p) and sum(widths_p)<=cap and len(widths_p)<=n
+            for t,w,count in pattern['flow']:
+                assert all(type(x)is int for x in (t,w,count))
+                assert t in times and w in widths_p and 0<count<=N and(t,w)not in flows
+                flows[t,w]=count
+            flow_edges+=len(flows)
+            counts=Counter(widths_p)
+            assert all(sum(flows.get((t,w),0)for t in times)==N*count for w,count in counts.items())
+            assert all(sum(flows.get((t,w),0)for w in counts)<=N for t in times)
+            if not widths_p:
+                assert not flows;portbase+=N;bin_count+=N;continue
+            A=[defaultdict(int)for _ in range(n)];row_widths=[]
+            for w,count in sorted(counts.items()):
+                remaining=[flows.get((t,w),0)for t in times];ti=0
+                for _ in range(count):
+                    row=len(row_widths);row_widths.append(w);need=N
+                    while need:
+                        while remaining[ti]==0:ti+=1
+                        take=min(need,remaining[ti]);A[row][ti]+=take;remaining[ti]-=take;need-=take
+                assert not any(remaining)
+            K=len(row_widths);deficit=[N-sum(A[i].get(t,0)for i in range(K))for t in range(n)];ti=0
+            assert min(deficit)>=0
+            for row in range(K,n):
+                need=N
+                while need:
+                    while deficit[ti]==0:ti+=1
+                    take=min(need,deficit[ti]);A[row][ti]+=take;deficit[ti]-=take;need-=take
+            assert not any(deficit) and all(sum(row.values())==N for row in A)
+            actual=Counter()
+            for color in range(N):
+                match=matching(A);slots=sorted((times[match[i]],row_widths[i])for i in range(K))
+                for i,t in enumerate(match):
+                    A[i][t]-=1
+                    if not A[i][t]:del A[i][t]
+                index,port=divmod(portbase+color,112);owner,child=map(int,keys[index].split(','));offset=0
+                for t,w in slots:
+                    actual[t,w]+=1;assert pools[t,w];helper=pools[t,w].pop();stage,replica=order[t]
+                    roles.append(dict(stage=stage,replica=replica,time=t,helper=helper,width=w,owner_replica=owner,child=child,port=port,offset=offset,copy=112*owner+port,family=896*owner+112*(2*original['pairs'][str(child)]+original['sides'][str(child)])+port))
+                    offset+=w
+                assert offset==sum(widths_p)
+            assert not any(A) and actual==flows
+            portbase+=N;bin_count+=N
+        assert portbase==112*len(keys)
+    assert seen==set(windows) and not any(pools.values()) and len(roles)==159840
+    roles.sort(key=lambda z:(z['time'],z['helper']))
+    return roles,dict(status='PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING',roles=len(roles),bins=bin_count,windows=len(windows),flow_edges=flow_edges,owner_content_sha256=identity(roles),schedule_content_sha256=identity(schedule))
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('parent','word3','word4','out'):ap.add_argument('--'+k,type=__import__('pathlib').Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT);out.mkdir(parents=True)
+    roles,receipt=construct(read(a.parent),{'demote3':read(a.word3),'demote4':read(a.word4)},read(P/'data/FLOW.json.gz'),read(P/'data/ORDER.json'),read(P/'data/MIX.json'))
+    dump(out/'OWNERS.json.gz',roles)
+    receipt['inputs']={str(p):sha(p)for p in (a.parent,a.word3,a.word4,P/'data/FLOW.json.gz',P/'data/ORDER.json',P/'data/MIX.json')}
+    dump(out/'CONSTRUCTION.json',receipt);print(receipt['status'],len(roles),flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/controller.py b/research/mixed-fusions-x54-t37/controller.py
new file mode 100644
index 0000000000..50387d2973
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/controller.py
@@ -0,0 +1,55 @@
+"""Run the retained emitted-controller checks and bind their final receipts."""
+from fractions import Fraction
+import os,subprocess,sys,time
+from common import P,ROOT,read,dump,sha
+
+def replay(work,providers,discovery=False):
+    source=ROOT/'research/complex-k492-owner-repair/vendor/multicold'
+    code=work/'runtime/code';spec=work/'runtime/data/SPEC.json'
+    mode='discovery'if discovery else'strict';out=work/mode;out.mkdir();g=out/'global'
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',
+      MULTICOLD_SOURCE=str(source),GAIN_PR564_SOURCE=str(source),WITNESS_SPEC=str(spec))
+    for k in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD'):env.pop(k,None)
+    if discovery:env.update(WITNESS_DISCOVER='1',WITNESS_RECORD=str(out/'WITNESS-RECORD.jsonl'))
+    stages=[]
+    def run(name,script,*args):
+        start=time.monotonic();log=out/(name+'.log')
+        with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(source/'code/run_portable.py'),str(code/script),*map(str,args)],env=env,cwd=ROOT,stdout=f,stderr=subprocess.STDOUT)
+        stages.append(dict(name=name,exit_code=r.returncode,seconds=round(time.monotonic()-start,3),log_sha256=sha(log)))
+        dump(out/'STAGES.json',stages)
+        if r.returncode:raise RuntimeError(name+'\n'+log.read_text()[-6000:])
+        print('PASS',mode,name,flush=True)
+    provider_args=[arg for pid,local in sorted(providers.items()) for arg in ('--provider',pid+'='+str(local))]
+    run('bind','bind_providers_portable.py','--baseline',work/'parent',*provider_args,'--plan',work/'lift/PLAN.json','--out',g)
+    run('emit','emit_allcold.py','--base',g/'base','--owners',P/'data/OWNERS.json.gz','--plan',g/'PLAN.json','--out',g/'hosted')
+    run('audit','audit_allcold.py',g/'base',g/'hosted',g/'audit/ASYNC-AUDIT.json','--mutation-controls')
+    run('invoice','invoice_allcold.py','--base',g/'base','--hosted',g/'hosted','--audit',g/'audit','--out',g/'audit','--retained-invoice',source/'vendor/pr558/vendor/pr552/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json')
+    run('assembly','assemble.py',source,g,out/'ASSEMBLY.json')
+    if discovery:
+        run('freeze','freeze_spec.py','--spec',spec,'--discovery',out)
+        return read(out/'ASSEMBLY.json')
+    for name,script,target in [('admission-controls','assembly_controls.py','ADMISSION-CONTROLS.json'),('bit-controls','bit_supplier_controls.py','BIT-CONTROLS.json')]:
+        run(name,script,'--source-package',source,'--owner',g/'audit/OWNERS-AND-PROFILE.json','--invoice',g/'audit/PREFIX-AND-INVOICE.json','--out',out/target)
+    asm=read(out/'ASSEMBLY.json');owner=read(g/'audit/OWNERS-AND-PROFILE.json')
+    invoice=read(g/'audit/PREFIX-AND-INVOICE.json');audit=read(g/'audit/ASYNC-AUDIT.json')
+    ac=read(out/'ADMISSION-CONTROLS.json');bc=read(out/'BIT-CONTROLS.json');claim=read(P/'CLAIM.json')
+    for k in ('kappa','kappa_decimal','complex_lower','bit_lower','complex_profile'):assert asm[k]==claim[k],k
+    for k in ('live','physical','rank_mass','deficit'):assert owner[k]==claim[k],k
+    assert owner['hosted_residuals']==audit['complex_hosted_residuals']==claim['roles']==159840
+    assert audit['complete_invocations']==invoice['complete_invocation_sweeps']==333
+    assert invoice['global_prefix_bits']==775 and invoice['charged_prefix_bits']==1024
+    assert invoice['finite']['physical_row_coefficient']==17495<invoice['finite']['retained_row_coefficient']==20161
+    assert invoice['strict_checks'] and all(invoice['strict_checks'].values())
+    assert len(asm['outer'])==47 and all(Fraction(v)>0 for v in asm['outer'].values())
+    assert not ac['discovery_accepted_controls'] and len(ac['rejected_controls'])==114
+    assert len(bc['rejected_controls'])==12 and bc['derived_deficit']==10272
+    assert audit['mutation_controls_run'] and len(audit['mutations_rejected'])==23
+    assert asm['template_sha256']==owner['template_sha256']==invoice['template_sha256']
+    assert invoice['owner_audit_sha256']==sha(g/'audit/OWNERS-AND-PROFILE.json')
+    assert invoice['controller_audit_sha256']==sha(g/'audit/ASYNC-AUDIT.json')
+    for pid,local in providers.items():
+        for name in ('CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','INDEPENDENT-LOCAL-REPLAY.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json'):
+            assert read(g/'base/providers'/pid/name)==read(local/name),'Fresh provider binding: '+pid+'/'+name
+    return dict(status='PASS_MIXED_DEMOTIONS_T37_STRICT_CONTROLLER',kappa=asm['kappa'],kappa_decimal=asm['kappa_decimal'],
+      complex_profile=asm['complex_profile'],roles=159840,calls=333,prefix_bits=775,row_coefficient=17495,
+      controls=dict(admission=114,bit_supplier=12,controller=23),scope=claim['scope'],stages=stages)
diff --git a/research/mixed-fusions-x54-t37/controls.py b/research/mixed-fusions-x54-t37/controls.py
new file mode 100644
index 0000000000..a5cbce2d30
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/controls.py
@@ -0,0 +1,25 @@
+"""Reject malformed frozen flow inputs before accepting any reconstructed map."""
+import copy
+from construct import construct
+from common import P,read,dump
+
+def check(parent,words,out):
+    flow=read(P/'data/FLOW.json.gz');order=read(P/'data/ORDER.json');mix=read(P/'data/MIX.json')
+    result=[]
+    for name in ('boolean_bin_count','negative_bin_count','duplicate_window','duplicate_flow',
+                 'out_of_window_time','invalid_width','overfull_call','reordered_wave'):
+        bad=copy.deepcopy(flow);badorder=copy.deepcopy(order)
+        group=bad[0];pattern=next(p for p in group['patterns']if p['flow'])
+        if name=='boolean_bin_count':group['patterns'][0]['count']=True
+        elif name=='negative_bin_count':group['patterns'][0]['count']=-1
+        elif name=='duplicate_window':group['physical_windows'].append(group['physical_windows'][0])
+        elif name=='duplicate_flow':pattern['flow'].append(pattern['flow'][0].copy())
+        elif name=='out_of_window_time':pattern['flow'][0][0]=333
+        elif name=='invalid_width':pattern['flow'][0][1]=6
+        elif name=='overfull_call':pattern['flow'][0][2]=pattern['count']+1
+        else:badorder[0],badorder[1]=badorder[1],badorder[0]
+        try:construct(parent,words,bad,badorder,mix)
+        except AssertionError:result.append(name)
+        else:raise AssertionError('Accepted malformed flow: '+name)
+    receipt=dict(status='PASS_FROZEN_FLOW_NEGATIVE_CONTROLS',rejected=result)
+    dump(out,receipt);return receipt
diff --git a/research/mixed-fusions-x54-t37/data/FLOW.json.gz b/research/mixed-fusions-x54-t37/data/FLOW.json.gz
new file mode 100644
index 0000000000..71246bb8e4
Binary files /dev/null and b/research/mixed-fusions-x54-t37/data/FLOW.json.gz differ
diff --git a/research/mixed-fusions-x54-t37/data/FOUR-RECIPE.json b/research/mixed-fusions-x54-t37/data/FOUR-RECIPE.json
new file mode 100644
index 0000000000..1fdb9bb71c
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/data/FOUR-RECIPE.json
@@ -0,0 +1,479 @@
+{
+  "B": [
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+  "report": {
+    "R": 480,
+    "borrowed_output_pairs": 56,
+    "centre_ranks": [
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+    },
+    "local_rank_mass": 5594,
+    "m": 73,
+    "scope": "Clean scalar identity and all literal monotone local frames only; arbitrary-dirt compensation, entrance kernels, exact phase recipes, and global hosting/pricing are not yet certified.",
+    "selected_load_join_counts": {
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+    },
+    "selected_partitions": [
+      0,
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+    ],
+    "source_and_helper_cleanup_exact_on_clean_columns": true,
+    "source_columns_exact": 112,
+    "status": "EXACT_CLEAN_OWN_Y_EARLY_CENTER_WORD_NOT_ADMITTED",
+    "tri_join_counts": {},
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+    "width_inventory": {
+      "4": 40,
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+}
diff --git a/research/mixed-fusions-x54-t37/data/FOUR-WORD.json.gz b/research/mixed-fusions-x54-t37/data/FOUR-WORD.json.gz
new file mode 100644
index 0000000000..19c09f2445
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diff --git a/research/mixed-fusions-x54-t37/data/MIX.json b/research/mixed-fusions-x54-t37/data/MIX.json
new file mode 100644
index 0000000000..52e8bdd775
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+      "expected_local": {
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+          "coefficient_work_primitive_count": 98355,
+          "events": 24763,
+          "macros": 19691,
+          "prefix_l1": "14824960514781440791821/64",
+          "real_component_primitives": 198794
+        },
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+          "events": 24763,
+          "macros": 19691,
+          "prefix_l1": "2765345371136269591/1024",
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+        }
+      },
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+      },
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+        "8": 114,
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+      },
+      "native_negative_controls": 25,
+      "phase_edges": 2902,
+      "program_hashes": {
+        "backward": "c3ac69bcf280a772c8ed3cdd83e24a6188cd90758f54f57e8d0bef5ac0afaf2d",
+        "forward": "03a00c24e56a63b64233e05e9b3a6c79dca327d5763ffb691a7363c31ad6e520"
+      },
+      "semantic_phase_sha256": "6da396f669e4ac092b009b57befb6e56d689d8c2e2926e65386e6e3e1114bcc6",
+      "width_digest": "ec44b5b214538eafbd921a70a1881e38212a3e101ebf7f35427b971a6447de3f",
+      "wrappers": 240
+    }
+  },
+  "schema": "witness-spec/1",
+  "width_spot_helpers": [
+    258,
+    270,
+    282,
+    294
+  ]
+}
diff --git a/research/mixed-fusions-x54-t37/data/THREE-WORD.json.gz b/research/mixed-fusions-x54-t37/data/THREE-WORD.json.gz
new file mode 100644
index 0000000000..db480eb0fd
Binary files /dev/null and b/research/mixed-fusions-x54-t37/data/THREE-WORD.json.gz differ
diff --git a/research/mixed-fusions-x54-t37/discovery/compose.py b/research/mixed-fusions-x54-t37/discovery/compose.py
new file mode 100644
index 0000000000..644e0ab6d0
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/discovery/compose.py
@@ -0,0 +1,57 @@
+"""3-way compose: base J + (F-J) + (X-J) [+ (D-J)] with disjoint list edits; cleanup/early remapped semantically."""
+import json,gzip,hashlib,difflib,sys
+L=lambda f: json.loads(gzip.decompress(open(f,'rb').read()))
+def ops(a,b):
+    sm=difflib.SequenceMatcher(None,[json.dumps(x) for x in a],[json.dumps(x) for x in b],autojunk=False)
+    return [(t,i1,i2,b[j1:j2]) for t,i1,i2,j1,j2 in sm.get_opcodes() if t!='equal']
+def merge(base,diffs):
+    allops=sorted([o for d in diffs for o in d],key=lambda o:(o[1],o[2]))
+    out=[];pos=0
+    for t,i1,i2,new in allops:
+        assert i1>=pos,('overlap',t,i1,i2,pos)
+        out+=base[pos:i1]+new;pos=i2
+    return out+base[pos:]
+def compose(J,F,X,D=None):
+    W=json.loads(json.dumps(J))
+    others=[F,X]+([D] if D else [])
+    for k in J:
+        if k in ('cleanup','early_cleanup','report'):continue
+        ch=[o for o in others if o[k]!=J[k]]
+        if not ch: continue
+        if isinstance(J[k],list) and len(ch)>1: W[k]=merge(J[k],[ops(J[k],o[k]) for o in ch])
+        else:
+            assert len(ch)==1,('dict conflict',k); W[k]=ch[0][k]
+    for k in F:
+        if k not in J: W[k]=F[k]
+    # cleanup: X = [xpre]+J.cleanup+[xtail]; composed = [xpre]+F.cleanup+[xtail]
+    Jc,Fc,Xc=J['cleanup'],F['cleanup'],X['cleanup']
+    assert Xc[1:-1]==Jc
+    C=[Xc[0]]+Fc+[Xc[-1]]
+    # J index -> F index for kept elements
+    sm=difflib.SequenceMatcher(None,[json.dumps(x) for x in Jc],[json.dumps(x) for x in Fc],autojunk=False)
+    j2f={}
+    for t,i1,i2,j1,j2 in sm.get_opcodes():
+        if t=='equal':
+            for d in range(i2-i1): j2f[i1+d]=j1+d
+    # early lists
+    Fe=[[i+1,U] for i,U in F['early_cleanup']]
+    Je=J['early_cleanup'];Xe=X['early_cleanup']
+    tail=len(Xc)-1
+    new=[e for e in Xe if e[0]==tail]; assert len(new)==1
+    k=Xe.index(new[0])
+    rest=[e for e in Xe if e[0]!=tail]
+    assert rest==[[i+1,U] for i,U in Je],'X early = shifted J early + tail'
+    # entry following the tail entry in X's list -> its J entry -> its image in F's early list
+    if k==0: pos=0
+    elif k<len(rest):
+        ji,U=Je[k]; img=[j2f[ji]+1,U]
+        assert img in Fe,('follower not kept by F',Je[k]); pos=Fe.index(img)
+    else: pos=len(Fe)
+    E=Fe[:pos]+[[len(C)-1,new[0][1]]]+Fe[pos:]
+    W['cleanup']=C;W['early_cleanup']=E
+    return W
+if __name__=='__main__':
+    J,F,X=L(sys.argv[1]),L(sys.argv[2]),L(sys.argv[3]); D=L(sys.argv[4]) if sys.argv[4]!='-' else None
+    W=compose(J,F,X,D); W['report']=dict((D or J)['report']); W['report']['local_profile']=json.loads(sys.argv[6])
+    raw=json.dumps(W,separators=(',',':')).encode(); open(sys.argv[5],'wb').write(gzip.compress(raw,mtime=0))
+    print(hashlib.sha256(raw).hexdigest())
diff --git a/research/mixed-fusions-x54-t37/evidence/ANCESTRY.json b/research/mixed-fusions-x54-t37/evidence/ANCESTRY.json
new file mode 100644
index 0000000000..c97da03bc1
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/ANCESTRY.json
@@ -0,0 +1 @@
+{"archive_sha256":"22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754","binding":{"ancestry":{"bit_input_sha256":"b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4","bit_result_sha256":"28795393651ef4fbbc6232eb2b32f7b39b91fbd5ea6d2315583f350714698055","complex_assembly_sha256":"19cb43070c57da02368818cf717cb35947c05eb723c167546127fe368f24b01d","complex_receipt_sha256":"ca719f9547ee4bad3bd8d0b083d3596594d26e7bdc57bf9b700e3883034eb43a","decimal":"0.001661202643272239","kappa":"1661202643272239/1000000000000000000","scope":"Rebuilt finite suppliers and exact composition. All-size/compiler, common-label/mutable-source, whole-call hosting, precision/tape and analytic transfer hypotheses remain conditional; not a full Lean theorem.","status":"PASS_REBUILT_PR589_PR741_COMPOSITION"},"assembly_sha256":"1df836ccc41f8ff5bc3e718f1530042fc23373f58718e15b557163af5400ec3a","decimal":"0.001661634653669567","independent_sha256":"0e731efe30bbcfc409b499ee9d805fe8576f92492e7c4e9dc044f55777f3ffa2","kappa":"1661634653669567/1000000000000000000","package_manifest_sha256":"e1b7998c8f7cb24f8674d250d0510f2b5b351b2ed0b35f17a17e6bacf3d9824b","price_sha256":"e8cecbb4f05ca1a115512b246530278ed86558d0fae1229d09d7d9188f5f330f","scope":"Exact finite X4 scalar/frame/phase/owner/invoice/assembly checks, bound to rebuilt PR589 and SW4 ancestry. Inherited all-size/compiler, common-label/mutable-source, whole-call hosting, precision/tape and analytic assumptions remain; not a full Lean theorem.","status":"PASS_REBUILT_PR589_PR799_COMPOSITION"},"coverage":{"complex_receipt_sha256":"ca719f9547ee4bad3bd8d0b083d3596594d26e7bdc57bf9b700e3883034eb43a","mandatory_artifact_count":44,"ordered_stage_count":22,"scope":"Fixed coverage and receipt/STAGES agreement only. The unchanged maintainer binding must also verify every artifact and log digest. This does not authenticate execution history or fabricated logs.","source_manifest_sha256":"b9b39c206fcd2613382b0dcbda23a371e8781d1bedaf8e2f8e7df1e79dc1fa89","source_spec_sha256":"7fc2bd2e3c0ac13729c1fa1f0f327a4eb7c72373ba58e5ed3954b30e23c803be","stages_sha256":"4a78087dbdf99279eb9bdc678fc68b2d8e6777d4083603d9b3ab65f726c6e0e8","status":"PASS_FIXED_PR741_STAGE_AND_ARTIFACT_COVERAGE"},"reused":false}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/COMPOSITION-CONTROLS.json b/research/mixed-fusions-x54-t37/evidence/COMPOSITION-CONTROLS.json
new file mode 100644
index 0000000000..8acc47aff9
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/COMPOSITION-CONTROLS.json
@@ -0,0 +1,117 @@
+{
+  "status": "PASS_FUSION_X54_SEMANTIC_CONTROLS",
+  "rejected": [
+    {
+      "control": "THREE-drop-B-['add', 123, 585]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "THREE-drop-B-['add', 147, 591]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "THREE-drop-B-['add', 367, 589]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "THREE-drop-B-['add', 335, 54]",
+      "reason": "all-column endpoint failure (False, [108, 111, 156, 159, 328, 334, 335, 511])"
+    },
+    {
+      "control": "THREE-drop-B-['add', 126, 439]",
+      "reason": "all-column endpoint failure (False, [125, 126])"
+    },
+    {
+      "control": "THREE-drop-B-['add', 150, 444]",
+      "reason": "all-column endpoint failure (False, [149, 150])"
+    },
+    {
+      "control": "THREE-drop-B-['add', 10, 439]",
+      "reason": "all-column endpoint failure (False, [9, 10, 189, 190, 272, 274, 276, 482])"
+    },
+    {
+      "control": "THREE-drop-B-['add', 34, 444]",
+      "reason": "all-column endpoint failure (False, [33, 34, 213, 214, 288, 290, 292, 494])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 335, 54]",
+      "reason": "all-column endpoint failure (False, [108, 111, 328, 334, 335, 511, 519])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 303, 446]",
+      "reason": "all-column endpoint failure (False, [36, 39, 295, 296, 302, 303, 495])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 545, 238]",
+      "reason": "all-column endpoint failure (False, [545])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 287, 434]",
+      "reason": "all-column endpoint failure (False, [12, 15, 279, 280, 286, 287, 483])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 319, 436]",
+      "reason": "all-column endpoint failure (False, [68, 71, 312, 318, 319, 499, 507])"
+    },
+    {
+      "control": "THREE-drop-cleanup-['add', 544, 236]",
+      "reason": "all-column endpoint failure (False, [544])"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 123, 585]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 147, 591]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 367, 589]",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 335, 54]",
+      "reason": "all-column endpoint failure (False, [108, 111, 156, 159, 328, 334, 335, 511])"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 126, 439]",
+      "reason": "all-column endpoint failure (False, [125, 126])"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 150, 444]",
+      "reason": "all-column endpoint failure (False, [149, 150])"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 10, 439]",
+      "reason": "all-column endpoint failure (False, [9, 10, 189, 190, 272, 274, 276, 482])"
+    },
+    {
+      "control": "FOUR-drop-B-['add', 34, 444]",
+      "reason": "all-column endpoint failure (False, [33, 34, 213, 214, 288, 290, 292, 494])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 335, 54]",
+      "reason": "all-column endpoint failure (False, [108, 111, 328, 334, 335, 511, 519])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 303, 446]",
+      "reason": "all-column endpoint failure (False, [36, 39, 295, 296, 302, 303, 495])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 545, 238]",
+      "reason": "all-column endpoint failure (False, [545])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 287, 434]",
+      "reason": "all-column endpoint failure (False, [12, 15, 279, 280, 286, 287, 483])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 319, 436]",
+      "reason": "all-column endpoint failure (False, [68, 71, 312, 318, 319, 499, 507])"
+    },
+    {
+      "control": "FOUR-drop-cleanup-['add', 544, 236]",
+      "reason": "all-column endpoint failure (False, [544])"
+    }
+  ]
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/ENTRANCE-CONTROLS.json b/research/mixed-fusions-x54-t37/evidence/ENTRANCE-CONTROLS.json
new file mode 100644
index 0000000000..3a6faf62a0
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/ENTRANCE-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_FOUR_ENTRANCE_SEMANTIC_CONTROLS",
+  "rejected": [
+    {
+      "control": "restore-promoted-start-627",
+      "reason": "frame not monotone (627, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-627",
+      "reason": "frame not monotone (627, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-629",
+      "reason": "frame not monotone (629, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-629",
+      "reason": "frame not monotone (624, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-630",
+      "reason": "frame not monotone (630, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-630",
+      "reason": "frame not monotone (624, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "restore-promoted-start-631",
+      "reason": "frame not monotone (631, (390, 68, 34, 24, 1), (68, 34, 24, 1))"
+    },
+    {
+      "control": "first-frame-too-small-631",
+      "reason": "frame not monotone (625, (68, 34, 24, 1), (68, 34, 24))"
+    },
+    {
+      "control": "false-paid-profile",
+      "reason": "paid profile mismatch"
+    },
+    {
+      "control": "wrong-target-coefficient",
+      "reason": "nonzero entrance response"
+    },
+    {
+      "control": "false-helper-inventory",
+      "reason": "width inventory mismatch"
+    }
+  ]
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/FLOW-CONTROLS.json b/research/mixed-fusions-x54-t37/evidence/FLOW-CONTROLS.json
new file mode 100644
index 0000000000..b6fe46c47c
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/FLOW-CONTROLS.json
@@ -0,0 +1 @@
+{"rejected":["boolean_bin_count","negative_bin_count","duplicate_window","duplicate_flow","out_of_window_time","invalid_width","overfull_call","reordered_wave"],"status":"PASS_FROZEN_FLOW_NEGATIVE_CONTROLS"}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/INDEPENDENT-OWNERS.json b/research/mixed-fusions-x54-t37/evidence/INDEPENDENT-OWNERS.json
new file mode 100644
index 0000000000..ba61d4116e
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/INDEPENDENT-OWNERS.json
@@ -0,0 +1 @@
+{"actual_73_axis_charts":11144,"adapter_sha256":"5dcc9304d84d6f07bb818685baa9c59c609043fa4a6ef156fffc1b44ffce0b33","bridge_events":333,"calls":333,"charged_prefix_bits":1024,"checked_busy_family_windows":159840,"checked_slice_prefixes":74592,"checked_whole_helper_widths":159840,"controls_rejected":[{"name":"private_namespace_collision","reason":"private-namespace collision"},{"name":"copy_replica_alias","reason":"role invocation time"},{"name":"missing_whole_helper","reason":"complete helper role count"},{"name":"split_whole_helper","reason":"complete helper role count"},{"name":"truncated_helper_width","reason":"whole-helper residual width"},{"name":"cross_idle_boundary","reason":"strict bridge-aware idle window"},{"name":"wrong_provider_demote3","reason":"whole-helper residual width"},{"name":"wrong_provider_demote4","reason":"whole-helper residual width"}],"deficit":11840,"edits":[["2 * 512","2 * 1024"],["prefix < 512","prefix < 1024"],["charged_prefix_bits=512","charged_prefix_bits=1024"],["Counter(widths) == {4: 80, 5: 32, 7: 54, 8: 122, 9: 216}","Counter(widths) in ({4:44,5:44,7:38,8:114,9:240},{4:40,5:48,7:38,8:114,9:240})"],["width == c['widths'][helper]","width == c['widths_by_call'][call][helper]"],["Counter({rank: 9 * T * count for rank, count in c['paid'].items()})","Counter(c['paid_total'])"],["max(x['prefix_bits_upper'] for x in c['replay']['local'].values())","c['localbits']"],["local_profile=dict(sorted(c['paid'].items())), width_inventory=dict(sorted(Counter(c['widths']).items())),","local_profiles=c['local_profiles'], width_inventories=c['inventories'], provider_call_counts=c['call_counts'],"],["if context['callpos'][key] >= hi","if context['callpos'][key] >= hi and context['widths_by_call'][key][z['helper']] == z['width']"]],"expanded_replica_events":1110,"idle":{"1":2,"48":11374},"inputs":{"$REPO/research/mixed-fusions-x54-t37/data/MIX.json":"dd86bbb792a5c9f0d7507d55bd2f8392c66716023934b03b24f48ca737204eea","$REPO/research/mixed-fusions-x54-t37/data/ORDER.json":"7757df3b54ca5e84c6dba9563b10bc6215c5e289313392b5a4b493179a245c29","$WORK/constructed/OWNERS.json.gz":"3a56f578b2db5647cf6cb811bc6263c7a802ae3e31e9e672596d43185e4e5c9f","$WORK/demote3/local/CANONICAL-WORD.json.gz":"25390c3d18840c91a821631b6a61255147d8bbab280ee0725c5b561eee8f74ce","$WORK/demote3/local/INDEPENDENT-LOCAL-REPLAY.json":"9efe201fc5ddb9cf256e403edfa9f960c5679dac60a3918bc66f9628ac668a99","$WORK/demote4/local/CANONICAL-WORD.json.gz":"29c5d526b0f4fd1a797d3769510c313d01a5615e266b104b5db6be4ca5aba816","$WORK/demote4/local/INDEPENDENT-LOCAL-REPLAY.json":"ffea772c9575415294434e06f5f6be2fa0313dbb884003e29d2fcbc5cabf1ab3","$WORK/retained1042/slots/global/global/base/split-centres/CANONICAL-WORD.json.gz":"66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844","$WORK/retained1042/slots/global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz":"ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b","$WORK/retained1042/slots/global/global/base/work/complex-nine-native/DATA-PHASES.json":"c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"},"literal_windows":666,"live":33152,"local_prefix_bits":68,"local_prefix_from_native_receipt":true,"local_profile_recounted":true,"local_profiles":{"demote3":{"1":2358,"2":504,"3":410,"4":130,"5":82,"8":8},"demote4":{"1":2350,"2":512,"3":414,"4":126,"5":82,"8":8}},"namespace":{"centres":[33152,33160],"coefficient":[33640,33642],"data":[0,33152],"tableau":[33160,33640]},"orthogonal_port_bases":112,"physical":33642,"physical_row_coefficient":17495,"physical_stock_bits":2643,"prefix_bits":775,"prefix_formula":{"bridges":333,"input_l2":37,"invocations":333,"local_scalar":68,"margin":4},"profile":{"1":783552,"2":169496,"3":137362,"4":42458,"5":27306,"8":2664,"48":11374},"provider_call_counts":{"demote3":125,"demote4":208},"rank_mass":2408256,"roles":159840,"row_limit":20161,"scope":"Finite role/window/chart and inherited prefix/row obligations. Requires separately admitted local supplier and emitted controller, complete finite invoice, exact moments and outer assembly; no all-size theorem is asserted.","source_events_per_replica":30,"source_sha256":"9d8c86bf45cdaef37f223c88704055ced503ee295645611e13f3fb9059a00e55","status":"PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW","width_inventories":{"demote3":{"4":44,"5":44,"7":38,"8":114,"9":240},"demote4":{"4":40,"5":48,"7":38,"8":114,"9":240}}}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/PARENT-CHECK.json b/research/mixed-fusions-x54-t37/evidence/PARENT-CHECK.json
new file mode 100644
index 0000000000..e6f7d66272
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/PARENT-CHECK.json
@@ -0,0 +1,47 @@
+{
+  "status": "PASS_INDEPENDENT_T37_PARTIAL_BANK_ENVELOPE",
+  "calls": 333,
+  "active_helper_lanes": 167832,
+  "bank_families": 22680,
+  "maximum_auxiliary_padding_rank": 53,
+  "source_content_sha256": "7db047a427a7979d69e163c78a1e32bd445628fb86723e131a3138361355a9c3",
+  "parent_content_sha256": "b4a5f30a598f6201c3973ce7ddd059c09fa9086b353456b559ed7b6ebebaec5d",
+  "controls_rejected": [
+    {
+      "name": "missing_fifth_lane",
+      "reason": "Lifted call inventory"
+    },
+    {
+      "name": "bank_group_alias",
+      "reason": "Literal mapped owner route"
+    },
+    {
+      "name": "missing_complement_axis",
+      "reason": "Exact residual complement"
+    },
+    {
+      "name": "stale_complement_rank",
+      "reason": "Exact residual complement"
+    },
+    {
+      "name": "old_idle_multiplicity",
+      "reason": "Data idle multiplicity"
+    },
+    {
+      "name": "missing_sweep_replica",
+      "reason": "Lifted source-event semantics"
+    },
+    {
+      "name": "private_alias",
+      "reason": "Private namespace translation"
+    },
+    {
+      "name": "short_final_correction",
+      "reason": "Final correction namespace"
+    }
+  ],
+  "input_sha256": {
+    "source": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "parent": "378d81d3fc38ac1a8cb8d54bf748ecda355c21f4e07f34c09709f1b4d9fcfbab"
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/PRICE.json b/research/mixed-fusions-x54-t37/evidence/PRICE.json
new file mode 100644
index 0000000000..05112b585d
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/PRICE.json
@@ -0,0 +1 @@
+{"kappa":"1675809683500501/1000000000000000000","kappa_decimal":"0.001675809683500501","outer":[{"binding":"complex","bit_c":"1733427039589844234749/1000000000000000000000000","complex_b":"839311367867996118499/500000000000000000000000","controls_rejected":["next_grid","zero_eta","zero_beta","unit_beta"],"kappa":"1675809683500501/1000000000000000000","kappa_decimal":"0.001675809683500501","strict_constraints_passed":47},{"binding":"complex","bit_c":"1733427039589844234749/1000000000000000000000000","complex_b":"1678622735735992236999/1000000000000000000000000","controls_rejected":["next_grid","zero_eta","zero_beta","unit_beta"],"kappa":"1675809683500501/1000000000000000000","kappa_decimal":"0.001675809683500501","strict_constraints_passed":47}],"profile":{"1":783552,"2":169496,"3":137362,"4":42458,"5":27306,"8":2664,"48":11374},"provider_call_counts":{"demote3":125,"demote4":208},"root":{"lower":"0.001678622735735992236998","lower_endpoint_residual_upper":"-1.200284249736942371589570027175112625722824712933094271471194944411125E-24","moment_minus_one_at_current_k_required_rate":["-0.002869636982851737958516507287377574827918376071006425383333139900394022","-0.002869636982851737958516507287377574827918376071006425383333139900319838"],"nominal_k_ceiling_interval":["0.001675809683500501757446300739377515259851968733706968989299965760268634","0.001675809683500501757447297390566486354162505712335067515376536381615789"],"strict_rational_signs":true,"upper":"0.001678622735735992236999","upper_endpoint_residual_lower":"1.723153161320488144408042854738466920183751637023698082270541681977442E-24"},"scope":"Arithmetic for the nominated mixed profile; geometry and full invoice require separate admission. No optimality claim.","signs":{"lower":{"atanh":["-240057/200000000000000000000000000000","-300071/250000000000000000000000000000"],"mercator":["-8089899839582221422657432300608870018031529/6739986666787659948666753771754907668409286105635143120275902562304","-16179799679164442845314864601217740036063057/13479973333575319897333507543509815336818572211270286240551805124608"],"point":"839311367867996118499/500000000000000000000000"},"upper":{"atanh":["1723153/1000000000000000000000000000000","861577/500000000000000000000000000000"],"mercator":["362938416629159243015998171152335182194845/210624583337114373395836055367340864637790190801098222508621955072","23228058664266191553023882953749451660470081/13479973333575319897333507543509815336818572211270286240551805124608"],"point":"1678622735735992236999/1000000000000000000000000"}},"status":"PASS_TWO_ENGINE_MIXED_PROFILE_AND_OUTER47"}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/RAW-demote3.json b/research/mixed-fusions-x54-t37/evidence/RAW-demote3.json
new file mode 100644
index 0000000000..a3fbece8c3
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/RAW-demote3.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "THREE-WORD.json.gz",
+  "content_sha256": "ec91eb9638d216423aac1bc194188f693dcce9e9ec616b7c6b2f5acc3ee6d2c6",
+  "compressed_sha256": "160b911b999fd52ada753dbdf4d258994ec1c6d8b758a63da2de58e59041b7c9",
+  "parent_center_interface": {
+    "parent_path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/CANONICAL-WORD.json.gz",
+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "transport_tau": 43,
+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
+      92,
+      57,
+      81,
+      224,
+      11,
+      240,
+      9,
+      256
+    ],
+    "source_centers": [
+      92,
+      57,
+      81,
+      11,
+      9
+    ],
+    "ordered_frame_bases": [
+      [
+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        64,
+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
+        128,
+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        68,
+        32,
+        16,
+        12,
+        2,
+        1
+      ]
+    ]
+  },
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "entering": 192,
+  "lowends": 78,
+  "coldends": 48,
+  "compensation_gates": 7208,
+  "local_profile": {
+    "1": 2358,
+    "2": 504,
+    "3": 410,
+    "4": 130,
+    "5": 82,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 44,
+    "5": 44,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "checked_columns": 704,
+  "elapsed_seconds": 1.3826851677149534,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/RAW-demote4.json b/research/mixed-fusions-x54-t37/evidence/RAW-demote4.json
new file mode 100644
index 0000000000..9370698dc8
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/RAW-demote4.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "FOUR-WORD.json.gz",
+  "content_sha256": "4bbad3ca12add19686a93fd607aaafc0c2f2865773adff6c72653e27e6ed87b6",
+  "compressed_sha256": "61428502da80ba4da38f3ee0a2d2ef4e19e3b7c234aeb754ecb05746b4c83881",
+  "parent_center_interface": {
+    "parent_path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/CANONICAL-WORD.json.gz",
+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "transport_tau": 43,
+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
+      92,
+      57,
+      81,
+      224,
+      11,
+      240,
+      9,
+      256
+    ],
+    "source_centers": [
+      92,
+      57,
+      81,
+      11,
+      9
+    ],
+    "ordered_frame_bases": [
+      [
+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        64,
+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
+        128,
+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        68,
+        32,
+        16,
+        12,
+        2,
+        1
+      ]
+    ]
+  },
+  "v": 112,
+  "h": 9,
+  "R": 480,
+  "entering": 192,
+  "lowends": 78,
+  "coldends": 48,
+  "compensation_gates": 7208,
+  "local_profile": {
+    "1": 2350,
+    "2": 512,
+    "3": 414,
+    "4": 126,
+    "5": 82,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 40,
+    "5": 48,
+    "7": 38,
+    "8": 114,
+    "9": 240
+  },
+  "checked_columns": 704,
+  "elapsed_seconds": 1.4004487497732043,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/REPLAY-SOURCE.json b/research/mixed-fusions-x54-t37/evidence/REPLAY-SOURCE.json
new file mode 100644
index 0000000000..77b04f25bc
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/REPLAY-SOURCE.json
@@ -0,0 +1,44 @@
+{
+  "source_commit": "ff972667 (package without evidence; replay from a fresh git archive of that commit)",
+  "command": "OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 CPLUS_INCLUDE_PATH=<boost> python3.11 -B research/mixed-fusions-x54-t37/verify.py --work <new dir>   (cold, no --ancestry799)",
+  "exit_code": 0,
+  "final_line": "PASS_MIXED_FUSIONS_X54_T37_COMPLETE_ADMISSION 0.001675809683500501",
+  "platform": "macOS arm64, Python 3.11",
+  "new_artifacts_and_documentation_only": true,
+  "path_scrub": "Absolute local paths in INDEPENDENT-OWNERS.json and constructed/CONSTRUCTION.json replaced by $WORK/$REPO after the run; all other receipts are byte-identical outputs.",
+  "receipts": {
+    "ANCESTRY.json": "7eeab7a54b2e4e378c513f80d4713c1708324e7fac1a3bd71ad0307d8c6d1be8",
+    "COMPOSITION-CONTROLS.json": "3dd92f289b7e13f9ceed46c06dd4dd418ca961a53287a90e64908fbb09caa879",
+    "ENTRANCE-CONTROLS.json": "7b101dd97c1025667fb3615930a9d6cd2ec443169d263a3bc1191b80fc712a1f",
+    "FLOW-CONTROLS.json": "43fe7e94bd72607d502ed947ac1463405be18728eb0b8faabd7ba63ab1d28ab4",
+    "INDEPENDENT-OWNERS.json": "cd57e1f8407cd9bdb7c4d80e83386dd55819567eeb37b405540caa1507038714",
+    "PARENT-CHECK.json": "2b729fd666ffe4e34a355223b57f74ba460fb171b19c84f260378dd109f0b9a0",
+    "PRICE.json": "b1afaadf642760ed5f5ae07453426f409c136c9eb5938940dd301b68af9c0b20",
+    "RAW-demote3.json": "1248b657cf623371931b0f330bc90366ed4736e6644ee3751139b6664dccc808",
+    "RAW-demote4.json": "6226e1cc1081c9dcb02e511491f09f02a191ed1b6d15ad9424a72e5858d8e224",
+    "RESULT.json": "c3ce32cd739c6668d2654ded20d45089f0b4d17c040b8992290ff921a6134049",
+    "STAGES.json": "80ac413c4f1d64b34edae1157965e397d4a85e8dfa38f05434fe3788defe2dea",
+    "WORD-RECIPE.json": "0edeb3eca95639144accb6f988d9674ba3d055c1c51d07508ddb9213436a85e4",
+    "constructed/CONSTRUCTION.json": "d9780a2641cacaf7506980eb200dda939e5a40978a24123b5ddfdec8aab70caf",
+    "demote3/STEPS.json": "e732aea72a179835c9b5fa517915aac4f6bb1055372ff937b905e992cd0de309",
+    "demote3/local/CLIFFORD-REVIEW.json": "3c9c187631b94559d3f61426facd9add848a20a1ee5b547f2f0cabac48490c1c",
+    "demote3/local/INDEPENDENT-LOCAL-REPLAY.json": "9efe201fc5ddb9cf256e403edfa9f960c5679dac60a3918bc66f9628ac668a99",
+    "demote3/local/LOCAL-CHECKS.json": "358a9a7a5a2856054df6f180938e6053c85ae780c89da4e2764130e7d4ff6d9d",
+    "demote3/local/SCALAR-FRAME-AUDIT.json": "afaba68ca17c691fae6016d03e1535e3adcac110a5b0715408882067b5772c67",
+    "demote3/local/WRAPPER-CHECKS.json": "fc7e24778302326fdacfd08dd3d5e63483cf4539cd5022a6c77f016752fac1a3",
+    "demote4/STEPS.json": "ec17cce9d5c7ffd7d7a07504a2003a2bf28d6699b3c90f570441271134dd27d3",
+    "demote4/local/CLIFFORD-REVIEW.json": "38aff806b58b2820840ff29a932293c91318f347a65320f4b1fa1c578fe7828d",
+    "demote4/local/INDEPENDENT-LOCAL-REPLAY.json": "ffea772c9575415294434e06f5f6be2fa0313dbb884003e29d2fcbc5cabf1ab3",
+    "demote4/local/LOCAL-CHECKS.json": "ea3356239bb11b1ffdb386409e2439ac9e4d0e13dceb24cadc8d26210706daf4",
+    "demote4/local/SCALAR-FRAME-AUDIT.json": "9e39f2480715e9e21c4165439ad82754a3e7d37ccd3f5804893b38927d850220",
+    "demote4/local/WRAPPER-CHECKS.json": "84a5bc26df5fb70dc12852a868962bcdfad3b85d85408edfd1f343e898a78c0e",
+    "t37/ADAPTATIONS.json": "d9bd95a128f2e8eafb280849062967748d32fe7bba88458c1ebb991e21419464",
+    "t37/strict/ADMISSION-CONTROLS.json": "201203eab0e956fb955d405e1c98425857213099f6cdf61b948b0f84231d3082",
+    "t37/strict/ASSEMBLY.json": "d32c15051851309528d0c5340c9ce8d967933ae46a0ccea175e0a67d028a9363",
+    "t37/strict/BIT-CONTROLS.json": "877b9404080b58b3c4109adf6f02d1c779c8d250228cff29238745c0c126a4ab",
+    "t37/strict/STAGES.json": "ac2282abc87c8d8b2010928fd680be2f981d4e8239ac1efe36f355b21310010c",
+    "t37/strict/global/audit/ASYNC-AUDIT.json": "06cde984a1666c87f934b702aee6ef07046b952138b97309c9c9304812577e4e",
+    "t37/strict/global/audit/OWNERS-AND-PROFILE.json": "bff6588dda02cdb4b16b2c80dceeaf7e6608a694634c7416d991e6e5ffcece8d",
+    "t37/strict/global/audit/PREFIX-AND-INVOICE.json": "f9a34eb3e200dc2f6c5902391cf7c304a5c221f64ae46213037fec1f1fc09d82"
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/RESULT.json b/research/mixed-fusions-x54-t37/evidence/RESULT.json
new file mode 100644
index 0000000000..06b49658c1
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/RESULT.json
@@ -0,0 +1 @@
+{"ancestry_sha256":"7eeab7a54b2e4e378c513f80d4713c1708324e7fac1a3bd71ad0307d8c6d1be8","calls":333,"complex_profile":{"1":783552,"2":169496,"3":137362,"4":42458,"48":11374,"5":27306,"8":2664},"composition_controls":28,"controls":{"admission":114,"bit_supplier":12,"controller":23},"entrance_controls":11,"flow_controls":8,"independent_owner_controls":8,"kappa":"1675809683500501/1000000000000000000","kappa_decimal":"0.001675809683500501","native_providers":2,"prefix_bits":775,"price_sha256":"b1afaadf642760ed5f5ae07453426f409c136c9eb5938940dd301b68af9c0b20","roles":159840,"row_coefficient":17495,"scope":"Finite conditional construction under the retained compiler, whole-call hosting, common-label/mutable-source realization, precision/tape, analytic-transfer and bitH1-H5 hypotheses. No unconditional theorem or kappa=1 claim.","source_pins":{"dependencies":1902,"dependency_manifest_sha256":"c9330aa6a4226c804060499429cb450820d7142ab17696eb47408b04b410b5bc","manifest_sha256":"2b25bad1b06b195f289842f402664c35c3261102b88fd7fb7cd689e1feaa6812","retained":{"dependencies_sha256":"0160ea2677cc9ceeb0f861dc2774d470a27cbaa58b8fd6c064cf0683d18f3e87","manifest_sha256":"38907d05fddac9be6bf7a7aff47fae43114a055d2259cead5651a08f9b983820","predecessor":{"dependencies_sha256":"7c47d44e8d5c24aa80afc70724e7c0381fec57ef80d085d2ee4611726a0f1254","manifest_sha256":"663a4300ec3abe2278ac6c8e49dd13dc58694c33bfadaa278c5406539e113a31"}}},"stages":[{"exit_code":0,"log_sha256":"71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a","name":"bind","seconds":0.727},{"exit_code":0,"log_sha256":"38f6bbc43ad3559f0529983a1be3576f321d0c15756787159d98affc0f5dae38","name":"emit","seconds":13.515},{"exit_code":0,"log_sha256":"06cde984a1666c87f934b702aee6ef07046b952138b97309c9c9304812577e4e","name":"audit","seconds":76.854},{"exit_code":0,"log_sha256":"b8ea678847a75f50150d47ee32deb7d1923368548992ec73eb38b1176503f8e9","name":"invoice","seconds":2.47},{"exit_code":0,"log_sha256":"da82aa5412877873666c1e498acc5a9920a72fe2e240a944a609059f26d28aec","name":"assembly","seconds":0.402},{"exit_code":0,"log_sha256":"40f0c35552fb10f02288ae8d2c6b9f902050fb370c0a19b7b88c977d0d44dab1","name":"admission-controls","seconds":0.806},{"exit_code":0,"log_sha256":"d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67","name":"bit-controls","seconds":0.791}],"status":"PASS_MIXED_FUSIONS_X54_T37_COMPLETE_ADMISSION","steps":[{"exit_code":0,"log_sha256":"b6f5b5bb05f46890b6a0e5e153cecc9bb6387a8fefed5c51a52eefac37931da9","name":"raw-demote3","seconds":1.436},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote3","seconds":185.642},{"exit_code":0,"log_sha256":"d4066717977a41fc33ad335530bde61a84aa2de79024afafa194d579b9eb4ee0","name":"raw-demote4","seconds":1.468},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote4","seconds":187.918},{"exit_code":0,"log_sha256":"a4ded37f2994ee242102a5ad1765673bb73be2a9d232132e4a44cd91a3d9525e","name":"entrance-controls","seconds":11.95},{"exit_code":0,"log_sha256":"c0501429094dad1484b05863e40c56f86ed681d9d055a0775cb62da10a085f30","name":"composition-controls","seconds":18.269},{"exit_code":0,"log_sha256":"ec8c339a452fecb7b455305c7faea42110cd69dcbee240e110f825178b0d23b4","name":"owners","seconds":6.488},{"exit_code":0,"log_sha256":"efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96","name":"parent","seconds":13.29},{"exit_code":0,"log_sha256":"82be8f6bc0fadc5059701cd82af0dbd56908e3c90d9374690b7331ebffad178e","name":"cold-ancestry799","seconds":1406.115}]}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/STAGES.json b/research/mixed-fusions-x54-t37/evidence/STAGES.json
new file mode 100644
index 0000000000..8923a93136
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/STAGES.json
@@ -0,0 +1 @@
+[{"exit_code":0,"log_sha256":"b6f5b5bb05f46890b6a0e5e153cecc9bb6387a8fefed5c51a52eefac37931da9","name":"raw-demote3","seconds":1.436},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote3","seconds":185.642},{"exit_code":0,"log_sha256":"d4066717977a41fc33ad335530bde61a84aa2de79024afafa194d579b9eb4ee0","name":"raw-demote4","seconds":1.468},{"exit_code":0,"log_sha256":"5ca9f310247cb601c905ff30597baa4634847395d7826e9ab926a9876ced2514","name":"native-demote4","seconds":187.918},{"exit_code":0,"log_sha256":"a4ded37f2994ee242102a5ad1765673bb73be2a9d232132e4a44cd91a3d9525e","name":"entrance-controls","seconds":11.95},{"exit_code":0,"log_sha256":"c0501429094dad1484b05863e40c56f86ed681d9d055a0775cb62da10a085f30","name":"composition-controls","seconds":18.269},{"exit_code":0,"log_sha256":"ec8c339a452fecb7b455305c7faea42110cd69dcbee240e110f825178b0d23b4","name":"owners","seconds":6.488},{"exit_code":0,"log_sha256":"efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96","name":"parent","seconds":13.29},{"exit_code":0,"log_sha256":"82be8f6bc0fadc5059701cd82af0dbd56908e3c90d9374690b7331ebffad178e","name":"cold-ancestry799","seconds":1406.115}]
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/WORD-RECIPE.json b/research/mixed-fusions-x54-t37/evidence/WORD-RECIPE.json
new file mode 100644
index 0000000000..dde97f4968
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/WORD-RECIPE.json
@@ -0,0 +1 @@
+{"four":{"content_sha256":"4bbad3ca12add19686a93fd607aaafc0c2f2865773adff6c72653e27e6ed87b6","recipe_sha256":"d321ba46d79a6706a96dd81a7585b4e655c5674dd7d98a16a6db30f2966a1840"},"source_sha256":"a0622d86259c4163e58cf0677ce575b6039a8ae4c95aa6d8b82a8163cbd42718","status":"PASS_FROZEN_FUSIONS_X54_RECIPES","three":{"content_sha256":"ec91eb9638d216423aac1bc194188f693dcce9e9ec616b7c6b2f5acc3ee6d2c6","recipe_sha256":"e48fea48888417827ace6f2ed118b2aa6297932dc343a5ae2fe9d0980fc4af18"}}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/constructed/CONSTRUCTION.json b/research/mixed-fusions-x54-t37/evidence/constructed/CONSTRUCTION.json
new file mode 100644
index 0000000000..bfcb2f52bb
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/constructed/CONSTRUCTION.json
@@ -0,0 +1 @@
+{"bins":74592,"flow_edges":2692,"inputs":{"$REPO/research/mixed-fusions-x54-t37/data/FLOW.json.gz":"e8e6dfa66e083ff8f3617a8441b5b2d766c3c9d9ac62ddc37d99edc24051f79e","$REPO/research/mixed-fusions-x54-t37/data/MIX.json":"dd86bbb792a5c9f0d7507d55bd2f8392c66716023934b03b24f48ca737204eea","$REPO/research/mixed-fusions-x54-t37/data/ORDER.json":"7757df3b54ca5e84c6dba9563b10bc6215c5e289313392b5a4b493179a245c29","$WORK/demote3/local/CANONICAL-WORD.json.gz":"25390c3d18840c91a821631b6a61255147d8bbab280ee0725c5b561eee8f74ce","$WORK/demote4/local/CANONICAL-WORD.json.gz":"29c5d526b0f4fd1a797d3769510c313d01a5615e266b104b5db6be4ca5aba816","$WORK/retained1042/slots/global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz":"ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b"},"owner_content_sha256":"199fb748b620d115431e183bb459366356774c39bffcdd3e2d6f7d385b6ad888","roles":159840,"schedule_content_sha256":"abf412dfeef81c5cc0ff72a67d76014379f00516c599635eba69b1f8a8409423","status":"PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING","windows":666}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/STEPS.json b/research/mixed-fusions-x54-t37/evidence/demote3/STEPS.json
new file mode 100644
index 0000000000..d91d3a0058
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/STEPS.json
@@ -0,0 +1,27 @@
+[
+  {
+    "step": "native",
+    "exit_code": 0,
+    "seconds": 1.928757332265377
+  },
+  {
+    "step": "ledgers",
+    "exit_code": 0,
+    "seconds": 1.2482098750770092
+  },
+  {
+    "step": "local-replay",
+    "exit_code": 0,
+    "seconds": 8.21642579138279
+  },
+  {
+    "step": "wrappers",
+    "exit_code": 0,
+    "seconds": 2.6682441672310233
+  },
+  {
+    "step": "phases",
+    "exit_code": 0,
+    "seconds": 171.53883616626263
+  }
+]
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/local/CLIFFORD-REVIEW.json b/research/mixed-fusions-x54-t37/evidence/demote3/local/CLIFFORD-REVIEW.json
new file mode 100644
index 0000000000..4bae7cbbbd
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/local/CLIFFORD-REVIEW.json
@@ -0,0 +1,19 @@
+{
+  "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES",
+  "canonical_word_sha256": "25390c3d18840c91a821631b6a61255147d8bbab280ee0725c5b561eee8f74ce",
+  "frames": 1008,
+  "directed_edges": 2902,
+  "ranks": {
+    "1": 1886,
+    "2": 462,
+    "3": 377,
+    "8": 16,
+    "4": 121,
+    "5": 40
+  },
+  "endpoint_adapters": 224,
+  "all_child_equalities_include_global_phase": true,
+  "recipe_sha256": "7773f7fe0f93f16ae4ed06a994a73356ab1112354e1fc12df982c0ec0d193216",
+  "seconds": 171.4692427497357,
+  "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json b/research/mixed-fusions-x54-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json
new file mode 100644
index 0000000000..652379f81c
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/local/INDEPENDENT-LOCAL-REPLAY.json
@@ -0,0 +1,71 @@
+{
+  "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY",
+  "canonical_word_sha256": "25390c3d18840c91a821631b6a61255147d8bbab280ee0725c5b561eee8f74ce",
+  "local_programs_sha256": "7364c14309f181f2e3dfc64cf2d2b031aacefcd2c87497696c8d4d851be65502",
+  "v": 112,
+  "helpers": 480,
+  "local": {
+    "forward": {
+      "all_exact_columns": 704,
+      "prefix_l1_upper": "2765345371136269591/1024",
+      "prefix_bits_upper": 52,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    },
+    "backward": {
+      "all_exact_columns": 704,
+      "prefix_l1_upper": "14824960514781440791821/64",
+      "prefix_bits_upper": 68,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    }
+  },
+  "paid_profiles": {
+    "forward": {
+      "1": 2358,
+      "4": 130,
+      "8": 8,
+      "3": 410,
+      "2": 504,
+      "5": 82
+    },
+    "backward": {
+      "1": 2358,
+      "4": 130,
+      "8": 8,
+      "3": 410,
+      "2": 504,
+      "5": 82
+    }
+  },
+  "entering_helpers": 192,
+  "cold_hyperplane_ended_helpers": 48,
+  "negative_controls_rejected": [
+    "wrong_scale",
+    "missing_center",
+    "wrong_common_frame",
+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register",
+    "hpe_pre_wrapper_resolved_to_full_recipe",
+    "hpe_post_wrapper_without_terminal_frame",
+    "hpe_post_wrapper_wrong_terminal_frame",
+    "hpe_tail_gate_at_full_frame",
+    "hpe_tail_climb_dropped",
+    "hpe_helper_exit_adapter_to_full",
+    "hpe_tail_gate_moved_into_full_cleanup",
+    "cold_hpe_pre_wrapper_replaced_by_identity_entry_adapter",
+    "cold_hpe_pre_wrapper_dropped",
+    "cold_hpe_post_wrapper_replaced_by_exit_adapter",
+    "cold_hpe_pre_wrapper_resolved_to_cold_full_convention",
+    "cold_hpe_wrapper_with_nonzero_entrance",
+    "cold_hpe_post_wrapper_wrong_terminal_frame",
+    "cold_hpe_premix_gate_before_pre_wrapper"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/local/LOCAL-CHECKS.json b/research/mixed-fusions-x54-t37/evidence/demote3/local/LOCAL-CHECKS.json
new file mode 100644
index 0000000000..34a9a47e92
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/local/LOCAL-CHECKS.json
@@ -0,0 +1,36 @@
+{
+  "forward": {
+    "sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+    "events": 24763,
+    "scalar_macros": 19691,
+    "real_component_primitive_bound": 198746,
+    "paid_profile": {
+      "1": 2358,
+      "2": 504,
+      "3": 410,
+      "4": 130,
+      "5": 82,
+      "8": 8
+    },
+    "all_columns": 704,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  },
+  "backward": {
+    "sha256": "feee707495945622de885acdd3b37be7258d1253a6fbc6cd2353c461aaf7c7c1",
+    "events": 24763,
+    "scalar_macros": 19691,
+    "real_component_primitive_bound": 198794,
+    "paid_profile": {
+      "1": 2358,
+      "2": 504,
+      "3": 410,
+      "4": 130,
+      "5": 82,
+      "8": 8
+    },
+    "all_columns": 704,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json b/research/mixed-fusions-x54-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json
new file mode 100644
index 0000000000..3c19b88935
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/local/SCALAR-FRAME-AUDIT.json
@@ -0,0 +1,712 @@
+{
+  "status": "PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES",
+  "input_content_sha256": "ec91eb9638d216423aac1bc194188f693dcce9e9ec616b7c6b2f5acc3ee6d2c6",
+  "routing_content_sha256": "7c84ac65c8b37173aa4293934f041915895e8ec30595844cc1534e2a19ae0d25",
+  "canonical_content_sha256": "3b472f118faf190ade6b9ee9e48861f002dba95b7ea6fa445a58374f70725722",
+  "live_columns_each_orientation": 704,
+  "helpers": 480,
+  "compensation_additions": 7208,
+  "scalar_operations": 19667,
+  "center_rank_sum": 64,
+  "local_profile": {
+    "1": 2358,
+    "2": 504,
+    "3": 410,
+    "4": 130,
+    "5": 82,
+    "8": 8
+  },
+  "local_rank_mass": 5590,
+  "widths": [
+    9,
+    9,
+    9,
+    9,
+    9,
+    9,
+    9,
+    9,
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+  "refactored_cleanup_gates": 6796,
+  "refactored_cleanup": {
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+    "forward_absorptions": 0,
+    "high_inverse": "dyadic_sparse_Gauss_Jordan",
+    "kind": "source_branch_gauge_and_retired_completion_cold44",
+    "lower_frame_gates": 81,
+    "new_cold_ends": 32,
+    "premix_gates": 1190,
+    "premix_target_writes": 0
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote3/local/WRAPPER-CHECKS.json b/research/mixed-fusions-x54-t37/evidence/demote3/local/WRAPPER-CHECKS.json
new file mode 100644
index 0000000000..5359564a89
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote3/local/WRAPPER-CHECKS.json
@@ -0,0 +1,421 @@
+{
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+ "frames": 22,
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+   "residual_width": 4
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+  {
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+   "residual_width": 4
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+  {
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+ "wrappers_reject": [
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+  "sides swapped",
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+  "hpe: U-wrapper decoded against a FULL ending",
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+  "hpe: wrong terminal hyperplane",
+  "hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}",
+  "hpe: wrong global phase",
+  "cold hpe: identity pre wrapper instead of R_{0,U}",
+  "cold hpe: identity post wrapper instead of L_{0,U}",
+  "cold hpe: no wrappers (cold FULL convention L = R = I)",
+  "cold hpe: U-wrapper decoded against a FULL ending",
+  "cold hpe: width misreported as 9",
+  "cold hpe: wrong terminal hyperplane",
+  "cold hpe: wrong global phase"
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+ ]
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/STEPS.json b/research/mixed-fusions-x54-t37/evidence/demote4/STEPS.json
new file mode 100644
index 0000000000..5dadb0c1ef
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/STEPS.json
@@ -0,0 +1,27 @@
+[
+  {
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+    "seconds": 1.984914000146091
+  },
+  {
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+    "seconds": 1.2833341658115387
+  },
+  {
+    "step": "local-replay",
+    "exit_code": 0,
+    "seconds": 8.376620708033442
+  },
+  {
+    "step": "wrappers",
+    "exit_code": 0,
+    "seconds": 2.641030916944146
+  },
+  {
+    "step": "phases",
+    "exit_code": 0,
+    "seconds": 173.58875733427703
+  }
+]
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/local/CLIFFORD-REVIEW.json b/research/mixed-fusions-x54-t37/evidence/demote4/local/CLIFFORD-REVIEW.json
new file mode 100644
index 0000000000..2f4ced6a87
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/local/CLIFFORD-REVIEW.json
@@ -0,0 +1,19 @@
+{
+  "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES",
+  "canonical_word_sha256": "29c5d526b0f4fd1a797d3769510c313d01a5615e266b104b5db6be4ca5aba816",
+  "frames": 1008,
+  "directed_edges": 2902,
+  "ranks": {
+    "1": 1878,
+    "2": 470,
+    "3": 378,
+    "8": 16,
+    "4": 120,
+    "5": 40
+  },
+  "endpoint_adapters": 224,
+  "all_child_equalities_include_global_phase": true,
+  "recipe_sha256": "1c2f152de6b5536dad4ec6a30e707334805d28f4db7cbf9faa02ef68b024a79e",
+  "seconds": 173.51836358290166,
+  "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json b/research/mixed-fusions-x54-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json
new file mode 100644
index 0000000000..b5736b17b7
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/local/INDEPENDENT-LOCAL-REPLAY.json
@@ -0,0 +1,71 @@
+{
+  "status": "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY",
+  "canonical_word_sha256": "29c5d526b0f4fd1a797d3769510c313d01a5615e266b104b5db6be4ca5aba816",
+  "local_programs_sha256": "1c4fd2611c05a7f893199b1fe90b8719985b319e48c525b54f01237306ab6530",
+  "v": 112,
+  "helpers": 480,
+  "local": {
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+      "prefix_l1_upper": "2765345371136269591/1024",
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+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    },
+    "backward": {
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+      "prefix_l1_upper": "14824960514781440791821/64",
+      "prefix_bits_upper": 68,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    }
+  },
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+    }
+  },
+  "entering_helpers": 192,
+  "cold_hyperplane_ended_helpers": 48,
+  "negative_controls_rejected": [
+    "wrong_scale",
+    "missing_center",
+    "wrong_common_frame",
+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register",
+    "hpe_pre_wrapper_resolved_to_full_recipe",
+    "hpe_post_wrapper_without_terminal_frame",
+    "hpe_post_wrapper_wrong_terminal_frame",
+    "hpe_tail_gate_at_full_frame",
+    "hpe_tail_climb_dropped",
+    "hpe_helper_exit_adapter_to_full",
+    "hpe_tail_gate_moved_into_full_cleanup",
+    "cold_hpe_pre_wrapper_replaced_by_identity_entry_adapter",
+    "cold_hpe_pre_wrapper_dropped",
+    "cold_hpe_post_wrapper_replaced_by_exit_adapter",
+    "cold_hpe_pre_wrapper_resolved_to_cold_full_convention",
+    "cold_hpe_wrapper_with_nonzero_entrance",
+    "cold_hpe_post_wrapper_wrong_terminal_frame",
+    "cold_hpe_premix_gate_before_pre_wrapper"
+  ],
+  "scope": "Literal forward and inverse-transpose replay on every arbitrary data/helper column, physical frame incidence, ordered paid wrappers, cleared private work and prefix coefficients. Global hosting and outer exponent are separate."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/local/LOCAL-CHECKS.json b/research/mixed-fusions-x54-t37/evidence/demote4/local/LOCAL-CHECKS.json
new file mode 100644
index 0000000000..5801783297
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/local/LOCAL-CHECKS.json
@@ -0,0 +1,36 @@
+{
+  "forward": {
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+    "events": 24763,
+    "scalar_macros": 19691,
+    "real_component_primitive_bound": 198746,
+    "paid_profile": {
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+    "all_columns": 704,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  },
+  "backward": {
+    "sha256": "c3ac69bcf280a772c8ed3cdd83e24a6188cd90758f54f57e8d0bef5ac0afaf2d",
+    "events": 24763,
+    "scalar_macros": 19691,
+    "real_component_primitive_bound": 198794,
+    "paid_profile": {
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+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/local/SCALAR-FRAME-AUDIT.json b/research/mixed-fusions-x54-t37/evidence/demote4/local/SCALAR-FRAME-AUDIT.json
new file mode 100644
index 0000000000..1eb79d8ac4
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/local/SCALAR-FRAME-AUDIT.json
@@ -0,0 +1,712 @@
+{
+  "status": "PASS_CHANGED_WORD_ALL_COLUMNS_AND_NATIVE_FRAMES",
+  "input_content_sha256": "4bbad3ca12add19686a93fd607aaafc0c2f2865773adff6c72653e27e6ed87b6",
+  "routing_content_sha256": "7c84ac65c8b37173aa4293934f041915895e8ec30595844cc1534e2a19ae0d25",
+  "canonical_content_sha256": "795b1e13a1548de32e197a1fd46a092785143f31f25157de568535fc04e44d83",
+  "live_columns_each_orientation": 704,
+  "helpers": 480,
+  "compensation_additions": 7208,
+  "scalar_operations": 19667,
+  "center_rank_sum": 64,
+  "local_profile": {
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+  "refactored_cleanup": {
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+    "high_inverse": "dyadic_sparse_Gauss_Jordan",
+    "kind": "source_branch_gauge_and_retired_completion_cold44",
+    "lower_frame_gates": 81,
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+    "premix_gates": 1190,
+    "premix_target_writes": 0
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/demote4/local/WRAPPER-CHECKS.json b/research/mixed-fusions-x54-t37/evidence/demote4/local/WRAPPER-CHECKS.json
new file mode 100644
index 0000000000..7f7487b47e
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/demote4/local/WRAPPER-CHECKS.json
@@ -0,0 +1,420 @@
+{
+ "status": "PASS_RESIDUAL_WRAPPERS_ARE_EXACT",
+ "frames": 22,
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+  },
+  {
+   "frame": 0,
+   "terminal": 1001,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1002,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1003,
+   "entrance_rank": 0,
+   "terminal_rank": 8,
+   "residual_width": 8
+  },
+  {
+   "frame": 0,
+   "terminal": 1004,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1005,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1006,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 0,
+   "terminal": 1007,
+   "entrance_rank": 0,
+   "terminal_rank": 7,
+   "residual_width": 7
+  },
+  {
+   "frame": 2,
+   "terminal": 999,
+   "entrance_rank": 1,
+   "terminal_rank": 8,
+   "residual_width": 7
+  },
+  {
+   "frame": 3,
+   "terminal": 998,
+   "entrance_rank": 1,
+   "terminal_rank": 8,
+   "residual_width": 7
+  }
+ ],
+ "cold_hyperplane_end_pairs": 16,
+ "wrappers_reject": [
+  "wrong global phase",
+  "wrong translation",
+  "wrong quadratic form",
+  "sides swapped",
+  "wrong width",
+  "hpe: U-wrapper decoded against a FULL ending",
+  "hpe: width misreported as 9 - dim E",
+  "hpe: wrong terminal hyperplane",
+  "hpe: pre wrapper resolved to the FULL recipe R_{E,FULL}",
+  "hpe: wrong global phase",
+  "cold hpe: identity pre wrapper instead of R_{0,U}",
+  "cold hpe: identity post wrapper instead of L_{0,U}",
+  "cold hpe: no wrappers (cold FULL convention L = R = I)",
+  "cold hpe: U-wrapper decoded against a FULL ending",
+  "cold hpe: width misreported as 9",
+  "cold hpe: wrong terminal hyperplane",
+  "cold hpe: wrong global phase"
+ ],
+ "all_even_weight": false,
+ "all_totally_isotropic": false,
+ "detail": [
+  {
+   "frame": 2,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    30
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 3,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    51
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 4,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    459
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 5,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    75
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 6,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    102
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 7,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    120
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 8,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    85
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 423,
+   "entrance_rank": 1,
+   "residual_width": 8,
+   "vectors": [
+    45
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": true
+  },
+  {
+   "frame": 424,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+    3
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 425,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
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+   "vectors": [
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+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 427,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    258,
+    130,
+    85,
+    45
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 428,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    264,
+    136,
+    85,
+    51
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 429,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+    24,
+    6
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 430,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    423,
+    65,
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+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 431,
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+   "residual_width": 5,
+   "vectors": [
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+    129,
+    102,
+    30
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+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
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+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
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+    34,
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+    8
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 433,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    80,
+    40,
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+    2
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 434,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    144,
+    75,
+    42,
+    7
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 435,
+   "entrance_rank": 4,
+   "residual_width": 5,
+   "vectors": [
+    320,
+    192,
+    45,
+    30
+   ],
+   "all_even_weight": true,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 436,
+   "entrance_rank": 5,
+   "residual_width": 4,
+   "vectors": [
+    288,
+    160,
+    75,
+    25,
+    7
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  },
+  {
+   "frame": 437,
+   "entrance_rank": 5,
+   "residual_width": 4,
+   "vectors": [
+    260,
+    132,
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+    42,
+    25
+   ],
+   "all_even_weight": false,
+   "totally_isotropic": false
+  }
+ ]
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/ADAPTATIONS.json b/research/mixed-fusions-x54-t37/evidence/t37/ADAPTATIONS.json
new file mode 100644
index 0000000000..6debbcac75
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/ADAPTATIONS.json
@@ -0,0 +1 @@
+{"build_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"15415507a7a42e954813403ee48321d43c17dc49e9c798e89f58ec2f2292efce","source_sha256":"0b5a66641494e934e3e032982c31aa561b89975d6673e7db257f4efdf5b8c921"},"check_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"1f7825dbd7663f5c6f662f2fd0921c372a1dc9354d16ec43430d18195a8440cf","source_sha256":"0e158551680b06a7a3f4599b4dcb74bcfcb7f1e94fcaf9a46c9b7a95d1200a6e"},"runtime/assemble.py":{"description_edits":[["the gauge44-barch U8 local word and all 72 cold helper ends","the mixed joint-entrance three- and four-demotion k8 local words",1],["explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade","explicit 333-call wave dispatch with frozen integer pattern flows",1],["This is a new T37 composition of the PR870 U8 and PR589 suppliers.","This is a new T37 composition of the mixed joint-entrance three- and four-demotion k8 and PR589 suppliers.",1]],"edits":[["owner['hosted_residuals']==144*R","owner['hosted_residuals']==333*R",1],["invoice['bridge_sweeps']==144","invoice['bridge_sweeps']==333",1],["data_and_owner_families=14336","data_and_owner_families=33152",1],["len(calls)==144","len(calls)==333",1],["for r in range(16)","for r in range(37)",1],["parent_live,parent_physical,parent_idle=23408,23922,32256","parent_live,parent_physical,parent_idle=55832,56346,74592",1],["parent_live-2*112*4*16","parent_live-2*112*4*37",1],["bridges,shifts=2*112*144,4*112*16","bridges,shifts=2*112*333,4*112*37",1],["4*112*16*9+2*112*16*9+2*144*R","4*112*37*9+2*112*37*9+2*333*R",1],["(144*invoice['local_adapters']","(333*invoice['local_adapters']",1],["+37+144+144+4","+37+333+333+4",1],["owner['deficit']==5120","owner['deficit']==11840",1],[",conservative_b,5120,True)",",conservative_b,11840,True)",1],[",b,5120,False)",",b,11840,False)",1],["explicit all144 whole-owner dispatch with a two-copy remainder trade","explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade",1],["This is a new T16 composition of the accepted PR799 and PR589 suppliers.","This is a new T37 composition of the PR870 U8 and PR589 suppliers.",1],["two independent bank groups, each with R0=504 helpers; restored private workspace is shared","five bank groups with 8,8,8,8,5 lanes, each with R0=504 helpers; restored private workspace is shared",1],["invoice['charged_prefix_bits']==512","invoice['charged_prefix_bits']==1024",1],["invoice['row_prefix_extra']==1024","invoice['row_prefix_extra']==2048",1],["2*stock.bit_length()+9909+252+1024","2*stock.bit_length()+9909+252+2048",1],["(4+512)","(4+1024)",2]],"generated_sha256":"76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe","source_sha256":"15f6986a476bac76bcdc0bfcf51da115389b46f1950d2766b6822f757888b13a"},"runtime/assembly_controls.py":{"description_edits":[],"edits":[["1 + 37 + 144 + 144 + 4","1 + 37 + 333 + 333 + 4",1]],"generated_sha256":"29ba6742d899d2318a96745c8ec21de06ba3968d4641c3400a15bc714e0d7f9e","source_sha256":"da7e981ae1b9f099d4e1524cb4f3ba1116011936ebe378692889b5dbfa99029d"},"runtime/audit_allcold.py":{"description_edits":[],"edits":[[";T=16;",";T=37;",1],["CALLS=144","CALLS=333",1],["==144","==333",3],["range(16)","range(37)",2],["0<=r<16","0<=r<37",1],["0<=e['time']<144","0<=e['time']<333",1],["==5120","==11840",1],["deficit=5120","deficit=11840",2],["invocations=144","invocations=333",1]],"generated_sha256":"a8d3c48e26957c5174ea35043545d3863a4c19c82422074ac42132b446533b4a","source_sha256":"1467a2acb654e62552c69fb9a7c4c85f70a02120881d222313865058ab71a6cc"},"runtime/bind_providers_portable.py":{"description_edits":[],"edits":[],"generated_sha256":"1d39bcc7b63ac158e021454beaae897d123e174360573762aecade3cd43193f6","source_sha256":"1d39bcc7b63ac158e021454beaae897d123e174360573762aecade3cd43193f6"},"runtime/bit_supplier_controls.py":{"description_edits":[],"edits":[],"generated_sha256":"e6d33fb61a570c3f50669412acc467a3fd06ef0b806da6a75bc296c6ba2142a5","source_sha256":"e6d33fb61a570c3f50669412acc467a3fd06ef0b806da6a75bc296c6ba2142a5"},"runtime/emit_allcold.py":{"description_edits":[],"edits":[["==144","==333",3],[";T=16;",";T=37;",1],["==5120","==11840",1],["deficit=5120","deficit=11840",1]],"generated_sha256":"3219e0706d497a2e6b595cec0a0d5bdbfbd1d991bf70136762eada44126a9ac1","source_sha256":"354367e1fd6185a67b04f4268bcae4d502e47b18cb2131e247f5bcab5b3a769e"},"runtime/freeze_spec.py":{"description_edits":[["spec['expected']['assembly_controls_rejected'] = 69","spec['expected']['assembly_controls_rejected'] = 114",1],["spec['expected']['provider_counts'] = {'gauge44':333}","spec['expected']['provider_counts'] = dict(__import__('collections').Counter(pid for s,r,pid in spec['dispatch']))",1],["spec['expected']['mutations_rejected'] = 15","spec['expected']['mutations_rejected'] = 23",1]],"edits":[["{'gauge44':144}","{'gauge44':333}",1]],"generated_sha256":"4264e4992328a8f92563a8dcd92a5219de109fa58b8e48238e24c9c27494fd37","source_sha256":"5971eecac6d6fbcb53244b80f1b9d7232012dc32876fab511214a5addebbe6c2"},"runtime/generated_identity.py":{"description_edits":[],"edits":[],"generated_sha256":"c8af22719c0f3097a991a3f6ccac8f090afd2faba554745733d9ea88f2c25708","source_sha256":"c8af22719c0f3097a991a3f6ccac8f090afd2faba554745733d9ea88f2c25708"},"runtime/invoice_allcold.py":{"description_edits":[],"edits":[["stages,replicas,blocks_per_stream=9,16,4","stages,replicas,blocks_per_stream=9,37,4",1],["owners['deficit']==5120","owners['deficit']==11840",1],["all 144 invocation and 144 bridge sweeps","all 333 invocation and 333 bridge sweeps",1],["payload=512","payload=1024",1],["previous['charged_prefix_bits']==payload","previous['charged_prefix_bits']<=payload",1]],"generated_sha256":"e348dfdca722088144d3db2e619ab3369228011212f558ea1fe12514ff06877c","source_sha256":"71eb57514e28ced97251e0507105f654f59885ec4d40486a780bf166098858a8"},"runtime/prepare_global.py":{"description_edits":[],"edits":[],"generated_sha256":"8c0dae301a8f34b77a5a462f840952d08ed120576212adf5051bc09bcad874dc","source_sha256":"8c0dae301a8f34b77a5a462f840952d08ed120576212adf5051bc09bcad874dc"},"runtime/restore_parent.py":{"description_edits":[],"edits":[],"generated_sha256":"69b7b25ff85e9b8160e233c1d415cc6a0272019e5c486dcec14cb6c349e7024d","source_sha256":"69b7b25ff85e9b8160e233c1d415cc6a0272019e5c486dcec14cb6c349e7024d"},"runtime/witness.py":{"description_edits":[],"edits":[],"generated_sha256":"779c5172894b992131e85be1e592ed2a1aec8c287b872ff42007d36a7291e444","source_sha256":"779c5172894b992131e85be1e592ed2a1aec8c287b872ff42007d36a7291e444"}}
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/strict/ADMISSION-CONTROLS.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/ADMISSION-CONTROLS.json
new file mode 100644
index 0000000000..caee739d27
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/ADMISSION-CONTROLS.json
@@ -0,0 +1,147 @@
+{
+  "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS",
+  "valid_receipt_kappa": "1675809683500501/1000000000000000000",
+  "input_sha256": {
+    "owner_audit": "bff6588dda02cdb4b16b2c80dceeaf7e6608a694634c7416d991e6e5ffcece8d",
+    "fresh_invoice": "f9a34eb3e200dc2f6c5902391cf7c304a5c221f64ae46213037fec1f1fc09d82",
+    "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4",
+    "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+  },
+  "assembler_sha256": "76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe",
+  "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",
+    "demote3:missing_provider",
+    "demote3:missing_backward_orientation",
+    "demote3:unpaid_scalar_primitive",
+    "demote3:wrong_local_artifact_binding",
+    "demote3:false_dirty_restoration",
+    "demote3:wrong_declared_provider_count",
+    "demote3:wrong_local_compiler",
+    "demote3:wrong_local_adapter_charge",
+    "demote3:wrong_local_primitive_bound",
+    "demote3:forged_provider_and_call_program_hash",
+    "demote3:provider_at_wrong_call",
+    "demote3:stale_partner_program_consistent_call_hashes",
+    "demote3:stale_partner_profile_consistent_child_total",
+    "demote3:relocated_against_partner_same_counts",
+    "demote3:compensating_false_profiles_with_demote4",
+    "demote3:synchronized_forged_source_recipe_hash",
+    "demote3:synchronized_forged_phase_review_semantics",
+    "demote3:width_order_swap_4_5",
+    "demote3:width_inventory_shift_4_5",
+    "demote3:width_order_swap_4_7",
+    "demote3:width_inventory_shift_4_7",
+    "demote3:width_order_swap_4_8",
+    "demote3:width_inventory_shift_4_8",
+    "demote3:width_order_swap_4_9",
+    "demote3:width_inventory_shift_4_9",
+    "demote3:width_order_swap_5_7",
+    "demote3:width_inventory_shift_5_7",
+    "demote3:width_order_swap_5_8",
+    "demote3:width_inventory_shift_5_8",
+    "demote3:width_order_swap_5_9",
+    "demote3:width_inventory_shift_5_9",
+    "demote3:width_order_swap_7_8",
+    "demote3:width_inventory_shift_7_8",
+    "demote3:width_order_swap_7_9",
+    "demote3:width_inventory_shift_7_9",
+    "demote3:width_order_swap_8_9",
+    "demote3:width_inventory_shift_8_9",
+    "demote3:cold_helper_width_swap_258",
+    "demote3:cold_helper_width_swap_270",
+    "demote3:cold_helper_width_swap_282",
+    "demote3:cold_helper_width_swap_294",
+    "demote4:missing_provider",
+    "demote4:missing_backward_orientation",
+    "demote4:unpaid_scalar_primitive",
+    "demote4:wrong_local_artifact_binding",
+    "demote4:false_dirty_restoration",
+    "demote4:wrong_declared_provider_count",
+    "demote4:wrong_local_compiler",
+    "demote4:wrong_local_adapter_charge",
+    "demote4:wrong_local_primitive_bound",
+    "demote4:forged_provider_and_call_program_hash",
+    "demote4:provider_at_wrong_call",
+    "demote4:stale_partner_program_consistent_call_hashes",
+    "demote4:stale_partner_profile_consistent_child_total",
+    "demote4:relocated_against_partner_same_counts",
+    "demote4:compensating_false_profiles_with_demote3",
+    "demote4:synchronized_forged_source_recipe_hash",
+    "demote4:synchronized_forged_phase_review_semantics",
+    "demote4:width_order_swap_4_5",
+    "demote4:width_inventory_shift_4_5",
+    "demote4:width_order_swap_4_7",
+    "demote4:width_inventory_shift_4_7",
+    "demote4:width_order_swap_4_8",
+    "demote4:width_inventory_shift_4_8",
+    "demote4:width_order_swap_4_9",
+    "demote4:width_inventory_shift_4_9",
+    "demote4:width_order_swap_5_7",
+    "demote4:width_inventory_shift_5_7",
+    "demote4:width_order_swap_5_8",
+    "demote4:width_inventory_shift_5_8",
+    "demote4:width_order_swap_5_9",
+    "demote4:width_inventory_shift_5_9",
+    "demote4:width_order_swap_7_8",
+    "demote4:width_inventory_shift_7_8",
+    "demote4:width_order_swap_7_9",
+    "demote4:width_inventory_shift_7_9",
+    "demote4:width_order_swap_8_9",
+    "demote4:width_inventory_shift_8_9",
+    "demote4:cold_helper_width_swap_258",
+    "demote4:cold_helper_width_swap_270",
+    "demote4:cold_helper_width_swap_282",
+    "demote4: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/mixed-fusions-x54-t37/evidence/t37/strict/ASSEMBLY.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/ASSEMBLY.json
new file mode 100644
index 0000000000..a2f96abb1e
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/ASSEMBLY.json
@@ -0,0 +1,345 @@
+{
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+    "8": 2664,
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+    "alpha_positive": "6557120061468719675534750978863001681027380648654603809548187645589610956841378436342508667024812942658014218308452712827563546263488851486250250767264594723062624208881935231150709108476692944613589676043386630152782628643185536154372829215374850757871556097622309834644398221635414811977084170007630657538951501256267260933432210460900277083669586068363895677946992889053045979811322642443181018883039784209471561090785947999/3912807120061468719675532801132423032415387218415055170021064395339198818484426388968540178266434055155852498488397585929855141472512733050279215178338000851089587763816471104231576253902358601180165705464170337809453372711495917621323277555901730598716682217736400260699943756562744283012107434141885912029680457554973338203889447050689677763752771530791889240516828869274818441924431581056877818428104002000000000000000000000000",
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+    "alpha_below_one_fourth": "971644659953898460243348449304242756422819423955109188695717911189210093664265218805792535899583700846305110403790943769636221821864694411083553543817235618049334316745235840826743354367112957350427836689999197822210560549230793869176446559760057798921298998336477755340341540919050655941049774365463847349881162887487067290038929552211519163854523296629608414451260224429651564501296572621776273588142960715790528438909214052001/3912807120061468719675532801132423032415387218415055170021064395339198818484426388968540178266434055155852498488397585929855141472512733050279215178338000851089587763816471104231576253902358601180165705464170337809453372711495917621323277555901730598716682217736400260699943756562744283012107434141885912029680457554973338203889447050689677763752771530791889240516828869274818441924431581056877818428104002000000000000000000000000",
+    "delta_positive": "1/8000000000000000000000000",
+    "delta_below_one_eighth": "999999999999999999999999/8000000000000000000000000",
+    "short_record_fallback": "7616566158218193649110669311346722900830419400677784896286266837395875717886024587099686601798959614870918768198556176620431017824714544329941000690342156925493195682915712380807378656144281141154054389803205172157103227121562770639000532697425372857381113183234620088682935920480447202196493768733607616156724027921006864817350898120724913533614855513700232865725965443114878278062831475370771980208435644401995097486431369252113487847022860515513881473560543615344638029652026593731968042179502420651595792649503241226989416283881079643220395718674578233259952614651294106630830619893612089645226782423325765004938950479522575652014602050979532150622040844176344947254378159786703856662660914753629645907585445433129029941008125097010942213128193507303786823258428672801232077132104001/7642201406370056093116275002211763735186303160966904628947391397146872692352395290954180035676629013976274411110151535019248323188501431738826592145191407912284351101204045125452297370903044142930011143484707691034088618577140464104147026476370567575618519956516406759179577649536609927758022332308370921932969643662057301179471576270878276882329631896077908672884431385302379769383655431751714489117390628906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "small_field_exposure": "1/1000000000000000000000000",
+    "artificial_boundary": "109584827841966999029617071130448217129495470502580967139308609273935189814084399478589878713324117491626863404438990149406447260899155190205313780489528236003966383860949842842411716759257120962471958922217831663440409697016427560137851595968914446402810262952481142194994098285031143660987828942455984029066199159920298035353330350142756020900095994819511031731055169445951486329415671369063394101926990950647371585316727642156003/15651228480245874878702131204529692129661548873660220680084257581356795273937705555874160713065736220623409993953590343719420565890050932201116860713352003404358351055265884416926305015609434404720662821856681351237813490845983670485293110223606922394866728870945601042799775026250977132048429736567543648118721830219893352815557788202758711055011086123167556962067315477099273767697726324227511273712416008000000000000000000000000",
+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "1481752475870217440344956855388046925467979965391936068142008181746677850180607737742289418143135713530427062093745141452865314524142051829970248121888708977577418684268788576976557632082579840516020193511162507787331508630917431991521444521117947694317419890195530229397739721010561406019762192409975038140116906788158115668894903807716032716982887190087232923312743364777035041637741860534558132076447499/1956403560030734359837766400566211516207693609207527585010532197669599409242213194484270089133217027577926249244198792964927570736256366525139607589169000425544793881908235552115788126951179300590082852732085168904726686355747958810661638777950865299358341108868200130349971878281372141506053717070942956014840228777486669101944723525344838881876385765395944620258414434637409220962215790528438909214052001000000000000000000",
+    "coordinate_movement_above_kappa": "10988485294887644282814246663155352826569480683663347375100992337779851753083718742162941993758662019935972723469917372465512384678497219049923269025620446582201916317642282817147066762433815450271098464471334321003612038114550265946197908954674945782749628796078609293648128243540604264652729182168516761666084278796568226480574021846321345907983753037284209471561090785947999/3906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "compact_phase_layer_above_kappa": "1481750519466657409610597017621646359256463757698326860614423171214480180581198495529094933873046580313399484167495897254072349596571315573603722982281119808576993139474906668741005516294452889336719603428309775702162603904231076243562633859479169743452120531854421361197609371038683124647620686356257967197160891947929338182225801862992507372144005313701467527368123106362600404228520898318767603637538284947999/1956403560030734359837766400566211516207693609207527585010532197669599409242213194484270089133217027577926249244198792964927570736256366525139607589169000425544793881908235552115788126951179300590082852732085168904726686355747958810661638777950865299358341108868200130349971878281372141506053717070942956014840228777486669101944723525344838881876385765395944620258414434637409220962215790528438909214052001000000000000000000000000",
+    "bulk_exposure_above_kappa": "10988485294887644282814246663155352826569480683663347375100992337779851753083718742162941993758662019935972723469917372465512384678497219049923269025620446582201916317642282817147066762433815450271098464471334321003612038114550265946197908954674945782749628796078609293648128243540604264652729182168516761666084278796568226480574021846321345907983753037284209471561090785947999/3906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "2370802004988787873817571130854474514537251736933488501499628080262486890689563138174468584758928008431655721423742982125791538311056546671585871855414345195123444350036179814926940095544000793646331719535007280374561509082781535438475500572149938360042572465971739498836253203645019968259478001802242990081231036020824207583562744147622127002333737627753807281355769125228821429211166014639502482883406784347999/3130245696049174975740426240905938425932309774732044136016851516271359054787541111174832142613147244124681998790718068743884113178010186440223372142670400680871670211053176883385261003121886880944132564371336270247562698169196734097058622044721384478973345774189120208559955005250195426409685947313508729623744366043978670563111557640551742211002217224633511392413463095419854753539545264845502254742483201600000000000000000000000",
+    "scalar_work_above_kappa": "11854017850558179492025295005337974837532323515441879337608480443441225131845452659725120860874996575026388918823711887424129551265565678383395459835502082651618923929356426707576908940872511772948860958006447330213483164320653100184212745507304803603674059763223132966981787418112612966785956033226083234177979239465036147864490128517004736391024215644312097990557326659801845695692713922060674528172670777947999/15651228480245874878702131204529692129661548873660220680084257581356795273937705555874160713065736220623409993953590343719420565890050932201116860713352003404358351055265884416926305015609434404720662821856681351237813490845983670485293110223606922394866728870945601042799775026250977132048429736567543648118721830219893352815557788202758711055011086123167556962067315477099273767697726324227511273712416008000000000000000000000000",
+    "dimension_above_kappa": "1949846439969265641643982169054005924137263246180519340457447767722336658899794987262407761047390710164363168898936920565499491357488774927725706934973051404425454239980473425461630557317609276386474779350494671611293507155414548976669869852966566692163103412249747563967448011914158087891686003939618450004921963632488369038172183262813276787018518042320088096724472755449823702350527574248596132423689859534558132076447499/1956403560030734359837766400566211516207693609207527585010532197669599409242213194484270089133217027577926249244198792964927570736256366525139607589169000425544793881908235552115788126951179300590082852732085168904726686355747958810661638777950865299358341108868200130349971878281372141506053717070942956014840228777486669101944723525344838881876385765395944620258414434637409220962215790528438909214052001000000000000000000"
+  },
+  "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 mixed joint-entrance three- and four-demotion k8 local words, and explicit 333-call wave dispatch with frozen integer pattern flows 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 T37 composition of the mixed joint-entrance three- and four-demotion k8 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/mixed-fusions-x54-t37/evidence/t37/strict/BIT-CONTROLS.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/BIT-CONTROLS.json
new file mode 100644
index 0000000000..30dfac0e13
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/BIT-CONTROLS.json
@@ -0,0 +1,49 @@
+{
+  "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS",
+  "kappa": "0.001675809683500501",
+  "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": "76e29b245d1bc7e2902927c37b04824a4ed639b4a9918ae841a1692c2b34bcfe"
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/strict/STAGES.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/STAGES.json
new file mode 100644
index 0000000000..ef11778b4d
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/STAGES.json
@@ -0,0 +1 @@
+[{"exit_code":0,"log_sha256":"71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a","name":"bind","seconds":0.727},{"exit_code":0,"log_sha256":"38f6bbc43ad3559f0529983a1be3576f321d0c15756787159d98affc0f5dae38","name":"emit","seconds":13.515},{"exit_code":0,"log_sha256":"06cde984a1666c87f934b702aee6ef07046b952138b97309c9c9304812577e4e","name":"audit","seconds":76.854},{"exit_code":0,"log_sha256":"b8ea678847a75f50150d47ee32deb7d1923368548992ec73eb38b1176503f8e9","name":"invoice","seconds":2.47},{"exit_code":0,"log_sha256":"da82aa5412877873666c1e498acc5a9920a72fe2e240a944a609059f26d28aec","name":"assembly","seconds":0.402},{"exit_code":0,"log_sha256":"40f0c35552fb10f02288ae8d2c6b9f902050fb370c0a19b7b88c977d0d44dab1","name":"admission-controls","seconds":0.806},{"exit_code":0,"log_sha256":"d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67","name":"bit-controls","seconds":0.791}]
\ No newline at end of file
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json
new file mode 100644
index 0000000000..6c282d1130
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/ASYNC-AUDIT.json
@@ -0,0 +1,100 @@
+{
+  "status": "PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS",
+  "template_sha256": "9b552a9b8998f2a8704547a02e8445cfacae8e5087389a2bd10895e6a6538f0a",
+  "complex_template_sha256": "9b552a9b8998f2a8704547a02e8445cfacae8e5087389a2bd10895e6a6538f0a",
+  "complex_live": 33152,
+  "complex_profile": {
+    "1": 783552,
+    "2": 169496,
+    "3": 137362,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664,
+    "48": 11374
+  },
+  "complex_hosted_residuals": 159840,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "entering_helper_roles": 79920,
+  "cross_replica_helper_roles": 148150,
+  "one_owner_per_complete_invocation": true,
+  "helper_busy_family_window_checks": 159840,
+  "complete_invocations": 333,
+  "actual_orthogonal_73column_maps": 11144,
+  "actual_sigma_stream_sha256": "dd8c8098c3389a46650db313b61e4921b050b356a175b1a4ab452929927b70cd",
+  "all_actual_residual_and_spectator_charts": true,
+  "idle_remainders": 11376,
+  "mutations_rejected": [
+    "alias two whole owners",
+    "helper on active data family",
+    "owner in private namespace",
+    "wrong residual width",
+    "wrong spectator coordinate",
+    "omit idle remainder",
+    "understate physical reserve",
+    "demote3: wrong provider at its invocation",
+    "demote3: stale per-call local program hash",
+    "demote3: stale serialized provider program",
+    "demote3: unbound residual adapter hash",
+    "demote3: partner width in provider width registry",
+    "demote3: wrong per-call residual width",
+    "demote3: wrong sweep provider",
+    "demote3: entering helper width silently restored to nine",
+    "demote4: wrong provider at its invocation",
+    "demote4: stale per-call local program hash",
+    "demote4: stale serialized provider program",
+    "demote4: unbound residual adapter hash",
+    "demote4: partner width in provider width registry",
+    "demote4: wrong per-call residual width",
+    "demote4: wrong sweep provider",
+    "demote4: entering helper width silently restored to nine"
+  ],
+  "mutation_controls_run": true,
+  "provider_phase_semantic_sha256": {
+    "demote3": "c0f47cb32d95a13c89f29de702ce657afe472d5f827c909d153dcb76d815432b",
+    "demote4": "6da396f669e4ac092b009b57befb6e56d689d8c2e2926e65386e6e3e1114bcc6"
+  },
+  "provider_artifact_semantic_sha256": {
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+      "LOCAL-CHECKS.json": "1dddffa9fbd0d862c583e1cb51546a59142a081a065e40100c4d0894af0cb11f",
+      "INDEPENDENT-LOCAL-REPLAY.json": "b8d8274281d893c3f3a4ddcd713ff89be9d9c4855bf26fee291d133f5145453a",
+      "CLIFFORD-RECIPES.json": "7773f7fe0f93f16ae4ed06a994a73356ab1112354e1fc12df982c0ec0d193216",
+      "CLIFFORD-REVIEW.json": "c0f47cb32d95a13c89f29de702ce657afe472d5f827c909d153dcb76d815432b",
+      "RESIDUAL-ADAPTERS.json": "df5afb8969525b20e7eb4cf572270b724a9427f8d16f78edbd014c5005191133"
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+    "demote4": {
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+      "CLIFFORD-RECIPES.json": "1c2f152de6b5536dad4ec6a30e707334805d28f4db7cbf9faa02ef68b024a79e",
+      "CLIFFORD-REVIEW.json": "6da396f669e4ac092b009b57befb6e56d689d8c2e2926e65386e6e3e1114bcc6",
+      "RESIDUAL-ADAPTERS.json": "435b2e4ee1e39d0d373dce21591660b8de4834f6e44ff9813d1821e22ff3c9c1"
+    }
+  },
+  "widths_by_provider": {
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+    },
+    "demote4": {
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+      "5": 48,
+      "7": 38,
+      "8": 114,
+      "9": 240
+    }
+  },
+  "provider_counts": {
+    "demote4": 208,
+    "demote3": 125
+  },
+  "all_provider_program_phase_and_wrapper_bindings": true,
+  "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations."
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json
new file mode 100644
index 0000000000..ca3e23c395
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/OWNERS-AND-PROFILE.json
@@ -0,0 +1,68 @@
+{
+  "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE",
+  "template_sha256": "9b552a9b8998f2a8704547a02e8445cfacae8e5087389a2bd10895e6a6538f0a",
+  "paid_profile": {
+    "1": 783552,
+    "2": 169496,
+    "3": 137362,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664,
+    "48": 11374
+  },
+  "live": 33152,
+  "physical": 33642,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "hosted_residuals": 159840,
+  "banked_residuals": 0,
+  "all_live_owners_per_call_distinct": true,
+  "owners_per_call": 704,
+  "actual_helper_owner_charts": 159840,
+  "actual_73column_sigmas": 11144,
+  "cross_replica_helper_roles": 148150,
+  "explicit_idle_remainder_children": 11376,
+  "source_idle_children_charged": 74592,
+  "source_artifacts": {
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+    "providers/demote3/CANONICAL-WORD.json.gz": "25390c3d18840c91a821631b6a61255147d8bbab280ee0725c5b561eee8f74ce",
+    "providers/demote3/LOCAL-PROGRAMS.json.gz": "7364c14309f181f2e3dfc64cf2d2b031aacefcd2c87497696c8d4d851be65502",
+    "providers/demote3/LOCAL-CHECKS.json": "358a9a7a5a2856054df6f180938e6053c85ae780c89da4e2764130e7d4ff6d9d",
+    "providers/demote3/INDEPENDENT-LOCAL-REPLAY.json": "9efe201fc5ddb9cf256e403edfa9f960c5679dac60a3918bc66f9628ac668a99",
+    "providers/demote3/RESIDUAL-ADAPTERS.json": "89e5779ba4fcc1b1a76bed05c9b36600bc1dc3c6efd7e623865692ec715c30c5",
+    "providers/demote3/CLIFFORD-RECIPES.json": "7773f7fe0f93f16ae4ed06a994a73356ab1112354e1fc12df982c0ec0d193216",
+    "providers/demote3/CLIFFORD-REVIEW.json": "3c9c187631b94559d3f61426facd9add848a20a1ee5b547f2f0cabac48490c1c",
+    "providers/demote4/CANONICAL-WORD.json.gz": "29c5d526b0f4fd1a797d3769510c313d01a5615e266b104b5db6be4ca5aba816",
+    "providers/demote4/LOCAL-PROGRAMS.json.gz": "1c4fd2611c05a7f893199b1fe90b8719985b319e48c525b54f01237306ab6530",
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+    "providers/demote4/INDEPENDENT-LOCAL-REPLAY.json": "ffea772c9575415294434e06f5f6be2fa0313dbb884003e29d2fcbc5cabf1ab3",
+    "providers/demote4/RESIDUAL-ADAPTERS.json": "0102fa3b62b095c14a34d5af95cc321db38e5f5e03a4f226828e8ebf6fdbe20b",
+    "providers/demote4/CLIFFORD-RECIPES.json": "1c2f152de6b5536dad4ec6a30e707334805d28f4db7cbf9faa02ef68b024a79e",
+    "providers/demote4/CLIFFORD-REVIEW.json": "38aff806b58b2820840ff29a932293c91318f347a65320f4b1fa1c578fe7828d"
+  },
+  "provider_phase_semantic_sha256": {
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+  },
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+      "LOCAL-CHECKS.json": "1dddffa9fbd0d862c583e1cb51546a59142a081a065e40100c4d0894af0cb11f",
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+      "CLIFFORD-RECIPES.json": "7773f7fe0f93f16ae4ed06a994a73356ab1112354e1fc12df982c0ec0d193216",
+      "CLIFFORD-REVIEW.json": "c0f47cb32d95a13c89f29de702ce657afe472d5f827c909d153dcb76d815432b",
+      "RESIDUAL-ADAPTERS.json": "df5afb8969525b20e7eb4cf572270b724a9427f8d16f78edbd014c5005191133"
+    },
+    "demote4": {
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+      "LOCAL-CHECKS.json": "b0b1e22edfd9f59fa12ae7a0add035ad4156393fe6f42765b3a796e78887918c",
+      "INDEPENDENT-LOCAL-REPLAY.json": "f567832be73cbbf9b230f55a691c5e6a7e0dcc63e19b188606b2ff12e0311466",
+      "CLIFFORD-RECIPES.json": "1c2f152de6b5536dad4ec6a30e707334805d28f4db7cbf9faa02ef68b024a79e",
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+      "RESIDUAL-ADAPTERS.json": "435b2e4ee1e39d0d373dce21591660b8de4834f6e44ff9813d1821e22ff3c9c1"
+    }
+  },
+  "controller_audit_sha256": "06cde984a1666c87f934b702aee6ef07046b952138b97309c9c9304812577e4e"
+}
diff --git a/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json
new file mode 100644
index 0000000000..519633e061
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/evidence/t37/strict/global/audit/PREFIX-AND-INVOICE.json
@@ -0,0 +1,6221 @@
+{
+  "status": "PASS_INDEPENDENT_MIXED_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE",
+  "template_sha256": "9b552a9b8998f2a8704547a02e8445cfacae8e5087389a2bd10895e6a6538f0a",
+  "parent_template_sha256": "b4a5f30a598f6201c3973ce7ddd059c09fa9086b353456b559ed7b6ebebaec5d",
+  "owner_audit_sha256": "bff6588dda02cdb4b16b2c80dceeaf7e6608a694634c7416d991e6e5ffcece8d",
+  "controller_audit_sha256": "06cde984a1666c87f934b702aee6ef07046b952138b97309c9c9304812577e4e",
+  "providers": {
+    "demote3": {
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+          "macros": 19691,
+          "real_component_primitives": 198794,
+          "prefix_l1": "14824960514781440791821/64",
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+          "coefficient_work_primitive_count": 98355,
+          "all_exact_columns": 704,
+          "dirty_helper_columns": 480,
+          "all_dirty_helper_columns_restored": true,
+          "private_centres_and_coefficient_work_cleared": true,
+          "pre_wrappers": 240,
+          "post_wrappers": 240,
+          "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json"
+        },
+        "forward": {
+          "events": 24763,
+          "macros": 19691,
+          "real_component_primitives": 198746,
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+          "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json"
+        }
+      },
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+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 29,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 7,
+      "replica": 34,
+      "provider_id": "demote3",
+      "orientation": "backward",
+      "program_sha256": "feee707495945622de885acdd3b37be7258d1253a6fbc6cd2353c461aaf7c7c1",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198794,
+      "coefficient_work_primitive_count": 98355,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 30,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 7,
+      "replica": 35,
+      "provider_id": "demote3",
+      "orientation": "backward",
+      "program_sha256": "feee707495945622de885acdd3b37be7258d1253a6fbc6cd2353c461aaf7c7c1",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198794,
+      "coefficient_work_primitive_count": 98355,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 31,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 7,
+      "replica": 36,
+      "provider_id": "demote3",
+      "orientation": "backward",
+      "program_sha256": "feee707495945622de885acdd3b37be7258d1253a6fbc6cd2353c461aaf7c7c1",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198794,
+      "coefficient_work_primitive_count": 98355,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 32,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 33,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 34,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 35,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    },
+    {
+      "stage": 8,
+      "replica": 36,
+      "provider_id": "demote3",
+      "orientation": "forward",
+      "program_sha256": "1c219088ed8d8e54c4247eaf7ebfea10fb1a0dcbe33c08563a37994ed84fcd4a",
+      "events": 24763,
+      "macros": 19691,
+      "real_component_primitives": 198746,
+      "coefficient_work_primitive_count": 98323,
+      "entering_helpers": 192,
+      "entrance_rank": 372,
+      "pre_wrappers": 240,
+      "post_wrappers": 240
+    }
+  ],
+  "selected_local_paid_profile": {
+    "1": 783550,
+    "2": 169496,
+    "3": 137362,
+    "4": 42458,
+    "5": 27306,
+    "8": 2664
+  },
+  "selected_real_component_primitives": 66189522,
+  "selected_coefficient_work_primitive_count": 32746295,
+  "selected_scalar_macros": 6557103,
+  "global_prefix_bits": 775,
+  "charged_prefix_bits": 1024,
+  "complete_invocation_sweeps": 333,
+  "bridge_sweeps": 333,
+  "row_prefix_extra": 2048,
+  "helpers": 480,
+  "centres": 8,
+  "live": 33152,
+  "physical": 33642,
+  "physical_stock_identity": {
+    "data_and_owner_families": 33152,
+    "local_helpers": 480,
+    "private_centres": 8,
+    "coefficient_work": 2
+  },
+  "local_adapters": 386992,
+  "local_primitive_bound": 10036380756106,
+  "wrapper_elementary_factors_charged": 23016960,
+  "factors_per_wrapper": 144,
+  "compiler": 25934336,
+  "unhosted_pervertex": 8299674746142474,
+  "hosted_rebased_pervertex": 8299674744644034,
+  "conservative_pervertex_used": 11177621735867042,
+  "retained_prior_overcharge": {
+    "sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478",
+    "previous_pervertex_allowance": 2877946989724568,
+    "added_complete_new_pervertex": 8299674746142474,
+    "policy": "Retain old allowance and add entire fresh mixed recount."
+  },
+  "finite": {
+    "physical_stock_bits": 2643,
+    "router_bits": 7991,
+    "literal_bits": 35286,
+    "physical_row_coefficient": 17495,
+    "retained_row_coefficient": 20161,
+    "required_C0_bits": 200012,
+    "halving_integer_inequality": [
+      5329,
+      4608
+    ],
+    "G_exponent": 30000,
+    "E_exponent": 100000,
+    "C0_exponent": 210000
+  },
+  "strict_checks": {
+    "local_primitive_bound": true,
+    "logical": true,
+    "router": true,
+    "literal": true,
+    "mass": true,
+    "precision": true,
+    "tape": true,
+    "row": true,
+    "halving": true
+  },
+  "scope": "Actual call-specific mixed scalar, Horner, wrappers and paid children recounted. All three providers use fresh hash-bound independent all-column/frame/phase/normalization admission. Shared compiler uses conservative maxima; parent is geometry/overcharge only. All-size compiler, hosting, precision/tape and analytic transfer remain conditional."
+}
diff --git a/research/mixed-fusions-x54-t37/local_controls.py b/research/mixed-fusions-x54-t37/local_controls.py
new file mode 100644
index 0000000000..e0e5d0e8e4
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/local_controls.py
@@ -0,0 +1,26 @@
+"""Semantic rejection controls for the changed local interfaces."""
+import argparse,contextlib,copy,gzip,importlib.util,io,json,tempfile
+from pathlib import Path
+P=Path(__file__).resolve().parent;ROOT=P.parents[1]
+def main():
+ assert __debug__
+ ap=argparse.ArgumentParser();ap.add_argument('--out',type=Path,required=True);a=ap.parse_args();assert not a.out.exists()
+ spec=importlib.util.spec_from_file_location('audit',ROOT/'research/gauge44-slots/independent/audit_local.py');A=importlib.util.module_from_spec(spec);spec.loader.exec_module(A)
+ word=json.loads(gzip.decompress((P/'data/FOUR-WORD.json.gz').read_bytes()));recipe=json.loads((P/'data/FOUR-RECIPE.json').read_text());rejected=[]
+ with tempfile.TemporaryDirectory(prefix='k8-demotion-controls-') as d:
+  d=Path(d)
+  def check(label,w):
+   f=d/'mutant.json.gz';f.write_bytes(gzip.compress(json.dumps(w).encode(),mtime=0))
+   try:
+    with contextlib.redirect_stdout(io.StringIO()):A.run(f,d/'audit.json',ROOT)
+   except RuntimeError as e:rejected.append(dict(control=label,reason=str(e)));return
+   raise AssertionError('control admitted: '+label)
+  for h,old,new in recipe['start_extra']:
+   w=copy.deepcopy(word);w['start_extra'][h]=old;check('restore-promoted-start-'+h,w)
+   w=copy.deepcopy(word);gate=next(e for e in w['A']+w['B'] if int(h) in A.registers(e));gate[-1]=gate[-1][:-1];check('first-frame-too-small-'+h,w)
+  w=copy.deepcopy(word);w['report']['local_profile']['1']+=1;check('false-paid-profile',w)
+  w=copy.deepcopy(word);w['B'][next(i for i,e in enumerate(w['B']) if e[0]=='add' and 112<=e[1]<224)][3]+=1;check('wrong-target-coefficient',w)
+  w=copy.deepcopy(word);w['report']['width_inventory']['4']+=1;check('false-helper-inventory',w)
+ assert len(rejected)==11
+ a.out.write_text(json.dumps(dict(status='PASS_FOUR_ENTRANCE_SEMANTIC_CONTROLS',rejected=rejected),indent=2)+'\n');print('PASS',len(rejected),'demotion controls')
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/native.py b/research/mixed-fusions-x54-t37/native.py
new file mode 100644
index 0000000000..fb9f676e5d
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/native.py
@@ -0,0 +1,10 @@
+import os,sys,time,json,subprocess
+from pathlib import Path
+ROOT=Path(__file__).resolve().parents[2];work=Path(sys.argv[2]);work.mkdir(parents=True,exist_ok=False);raw=Path(sys.argv[1]).resolve()
+src=ROOT/'research/complex-k492-owner-repair/vendor/multicold';up=ROOT/'research/complex-sw4-frame8/vendor/pr635/research/complex-571-cold14-st2/code';base=src/'vendor/pr558';par=base/'vendor/pr552';local=work/'local'
+env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',MULTICOLD_SOURCE=str(src),GAIN_PR564_SOURCE=str(src),CPLUS_INCLUDE_PATH=os.environ.get('CPLUS_INCLUDE_PATH','/opt/homebrew/include'));env.pop('PYTHONOPTIMIZE',None)
+steps=[]
+for label,script,args in [('native',up/'hpe_audit_and_transport.py',['--raw',raw,'--routing',par/'complex-local/inputs/phase-baseline/CANONICAL-WORD.json.gz','--out',local]),('ledgers',up/'hpe_emit_local.py',[local]),('local-replay',up/'hpe_audit_local.py',[local]),('wrappers',up/'hpe_adapters_local.py',[local/'CANONICAL-WORD.json.gz',local/'RESIDUAL-ADAPTERS.json',local/'WRAPPER-CHECKS.json']),('phases',base/'code/phases_full.py',[local,par/'complex-global/vendor531/vendor/clifford'])]:
+ t=time.monotonic()
+ with (work/(label+'.log')).open('w') as f:p=subprocess.run([sys.executable,'-B',str(src/'code/run_portable.py'),str(script),*map(str,args)],stdout=f,stderr=subprocess.STDOUT,cwd=ROOT,env=env)
+ steps.append(dict(step=label,exit_code=p.returncode,seconds=time.monotonic()-t));(work/'STEPS.json').write_text(json.dumps(steps,indent=2)+'\n');assert p.returncode==0,(label,(work/(label+'.log')).read_text()[-4000:]);print('PASS',label,flush=True)
diff --git a/research/mixed-fusions-x54-t37/package.py b/research/mixed-fusions-x54-t37/package.py
new file mode 100644
index 0000000000..9e911fe811
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/package.py
@@ -0,0 +1,15 @@
+"""Pin this package and the retained source closure; no network is used."""
+from pathlib import Path
+from common import P,ROOT,read,sha,load
+
+def validate():
+    manifest=read(P/'MANIFEST.json')
+    actual={str(p.relative_to(P)):sha(p)for p in P.rglob('*')if p.is_file() and p.name!='MANIFEST.json' and '__pycache__'not in p.parts}
+    assert actual==manifest,'Package manifest mismatch'
+    dependencies=read(P/'DEPENDENCY-PINS.json')
+    for rel,pin in dependencies.items():
+        q=(ROOT/rel).resolve()
+        assert not Path(rel).is_absolute() and q.is_relative_to(ROOT.resolve())
+        assert sha(q)==pin,'Changed retained source: '+rel
+    retained=load(ROOT/'research/complex-t37-owners/package.py','retained_package_validation').validate()
+    return dict(manifest_sha256=sha(P/'MANIFEST.json'),dependency_manifest_sha256=sha(P/'DEPENDENCY-PINS.json'),dependencies=len(dependencies),retained=retained)
diff --git a/research/mixed-fusions-x54-t37/prepare.py b/research/mixed-fusions-x54-t37/prepare.py
new file mode 100644
index 0000000000..596920d5ba
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/prepare.py
@@ -0,0 +1,84 @@
+"""Reuse PR942's explicit source adapters and build the five-bank parent.
+
+The frozen order, owner map, and PR1148 supplier metadata are replaced.
+The PR942 finite invoice still charges its 1024-bit prefix reserve.
+"""
+import copy,os,shutil
+from common import P,ROOT,read,dump,load,sha,identity
+
+def prepare(work,baseline,providers):
+    t37=ROOT/'research/complex-t37-owners'
+    t21=ROOT/'research/complex-t21-owners'
+    os.environ.update(T37_WORK=str(work),T37_BASELINE=str(baseline))
+    old=load(t37/'prepare.py','retained_t37_preparation')
+    runtime=work/'runtime';adapted=work/'adapted';adapted.mkdir()
+    load(t21/'source_adapters.py','retained_t21_adapters').materialize(runtime)
+    (runtime/'ADAPTERS.json').rename(runtime/'T21-INTERMEDIATE-ADAPTERS.json')
+    receipts={}
+    for name,record in old.expected_adaptations().items():
+        target=runtime/'code'/name.split('/',1)[1]if name.startswith('runtime/')else adapted/name
+        text=record['text'];extra=[]
+        if name=='runtime/assemble.py':
+            for before,after in [
+              ('the gauge44-barch U8 local word and all 72 cold helper ends','the mixed joint-entrance three- and four-demotion k8 local words'),
+              ('explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade','explicit 333-call wave dispatch with frozen integer pattern flows'),
+              ('This is a new T37 composition of the PR870 U8 and PR589 suppliers.','This is a new T37 composition of the mixed joint-entrance three- and four-demotion k8 and PR589 suppliers.')]:
+                assert text.count(before)==1,(before,text.count(before));text=text.replace(before,after);extra.append([before,after,1])
+        if name=='runtime/freeze_spec.py':
+            for before,after in [("spec['expected']['assembly_controls_rejected'] = 69","spec['expected']['assembly_controls_rejected'] = 114"),
+              ("spec['expected']['provider_counts'] = {'gauge44':333}","spec['expected']['provider_counts'] = dict(__import__('collections').Counter(pid for s,r,pid in spec['dispatch']))"),
+              ("spec['expected']['mutations_rejected'] = 15","spec['expected']['mutations_rejected'] = 23")]:
+                assert text.count(before)==1
+                text=text.replace(before,after);extra.append([before,after,1])
+        target.write_text(text,encoding='utf-8',newline='\n')
+        receipts[name]=dict(source_sha256=sha(record['source']),generated_sha256=sha(target),edits=record.get('edits',[]),description_edits=extra)
+    dump(work/'ADAPTATIONS.json',receipts)
+    source=read(baseline/'global/base/split-centres/GLOBAL-TEMPLATE.json.gz')
+    builder=load(adapted/'build_parent.py','retained_t37_parent_lift');parent=builder.lift(source)
+    plan=read(P/'vendor/pr1148/PLAN.json.gz');order=read(P/'data/ORDER.json');owners=read(P/'data/OWNERS.json.gz')
+    windows_mod=load(t21/'vendor/pr870/t16/build_parent.py','retained_physical_windows')
+    windows,schedule=windows_mod.actual_windows(parent,order)
+    mix=read(P/'data/MIX.json')
+    assert [[s,r]for pid,s,r in mix]==order
+    identities=load(ROOT/'research/complex-t21-owners/vendor/pr870/code/generated_identity.py','mixed_artifact_identities')
+    plan['provider_registry']={};plan['provider_calls']=[];plan['per_call_widths']=[]
+    for pid,directory in sorted(providers.items()):
+        word=read(directory/'CANONICAL-WORD.json.gz');checks=read(directory/'LOCAL-CHECKS.json')
+        widths=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,704)]
+        plan['provider_registry'][pid]=dict(directory='providers/'+pid,artifact_sha256={n:sha(directory/n)for n in identities.FILES},
+          ports=word['ports'],centers=word['centers'],widths=widths,actual_paid_profile=word['local_profile'],
+          orientation_program_sha256={o:checks[o]['sha256']for o in ('forward','backward')},artifact_semantic_sha256=identities.artifact_identities(directory))
+    for time,(pid,stage,replica)in enumerate(mix):
+        desc=plan['provider_registry'][pid];orientation='forward'if stage%2==0 else'backward'
+        plan['provider_calls'].append(dict(time=time,stage=stage,replica=replica,provider=pid,orientation=orientation,local_program_sha256=desc['orientation_program_sha256'][orientation]))
+        plan['per_call_widths'].append(dict(stage=stage,replica=replica,widths=desc['widths']))
+    claim=read(P/'CLAIM.json')
+    plan.update(T=37,live=33152,deficit=11840,order=order,windows=windows,profile=claim['complex_profile'],
+      status='FROZEN_T37_MIXED_DEMOTIONS_WHOLE_OWNER_NOMINATION',mode='gauge44-three-demotions-t37-wave',
+      solver_status='Frozen integer pattern flow, reconstructed by regular bipartite matching; no optimizer runs',
+      assignment_sha256=sha(P/'data/OWNERS.json.gz'),assignment_content_sha256=identity(owners),
+      replica_lift=dict(groups=[8,8,8,8,5],source_replicas=8,replicas=37,parent_template_content_sha256=identity(parent),
+        owners_file_sha256=sha(P/'data/OWNERS.json.gz'),schedule_content_sha256=identity(schedule),window_semantics='Strict physical source-event intervals, including bridges'))
+    assert len(owners)==159840 and sum(int(r)*n for r,n in plan['profile'].items())==73*33152-11840
+    for z in owners:
+        assert order[z['time']]==[z['stage'],z['replica']]
+        assert z['time']in windows[f"{z['owner_replica']},{z['child']}"][1]
+    frozen=read(P/'data/PLAN.json.gz')
+    for pid,desc in plan['provider_registry'].items():
+        # Regenerated compression and timing are rebound by the unchanged
+        # native binder. All proof-relevant semantic identities must agree.
+        assert desc['artifact_semantic_sha256']==frozen['provider_registry'][pid]['artifact_semantic_sha256']
+        desc['artifact_sha256']=frozen['provider_registry'][pid]['artifact_sha256']
+    assert plan==frozen,'Derived geometry/dispatch/provider plan differs from frozen nomination'
+    lift=work/'lift';lift.mkdir();dump(lift/'GLOBAL-TEMPLATE.json.gz',parent);dump(lift/'PLAN.json',plan)
+    parentdir=work/'parent';shutil.copytree(baseline/'parent558',parentdir)
+    shutil.copyfile(lift/'GLOBAL-TEMPLATE.json.gz',parentdir/'complex-global/base/split-centres/GLOBAL-TEMPLATE.json.gz')
+    (runtime/'data').mkdir(exist_ok=True)
+    spec=read(P/'data/SPEC.json')
+    assert spec['call_order']==order and spec['dispatch']==[[s,r,pid]for pid,s,r in mix]
+    assert spec['data']=={'owners_sha256':sha(P/'data/OWNERS.json.gz'),'plan_sha256':sha(lift/'PLAN.json')}
+    pivot=ROOT/'research/gauge44-slots/construction/leaver/PIVOT-SWAP-k8.json'
+    assert sha(pivot)==spec['pivot_swap']['sha256']
+    spec['pivot_swap']['recipe']=str(pivot.resolve())
+    dump(runtime/'data/SPEC.json',spec)
+    return plan
diff --git a/research/mixed-fusions-x54-t37/price.py b/research/mixed-fusions-x54-t37/price.py
new file mode 100644
index 0000000000..0903bea57b
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/price.py
@@ -0,0 +1,32 @@
+"""Independently recount the dispatch-weighted profile and certify its price."""
+from collections import Counter
+from fractions import Fraction as Q
+from common import P,ROOT,read,dump,load,sha
+
+def price(providers,out):
+    d=ROOT/'research/complex-k492-owner-repair/vendor/multicold/engines'
+    M=load(d/'moment.py','mixed_mercator');B=load(d/'base_two_moment.py','mixed_atanh')
+    A=load(d/'outer.py','mixed_outer')
+    O=load(ROOT/'research/complex-t21-owners/vendor/pr870/independent/price_profile_t16.py','mixed_outer_driver')
+    mix=read(P/'data/MIX.json');claim=read(P/'CLAIM.json');profile=Counter()
+    counts=Counter(pid for pid,s,r in mix)
+    assert counts==claim['provider_calls']=={'demote3':125,'demote4':208}
+    for pid,count in counts.items():
+        word=read(providers[pid]/'CANONICAL-WORD.json.gz')
+        profile.update({int(r):count*n for r,n in word['local_profile'].items()})
+    profile.update({int(r):n for r,n in claim['idle'].items()})
+    assert {str(r):n for r,n in profile.items()}==claim['complex_profile']
+    assert 73*33152-sum(r*n for r,n in profile.items())==11840
+    root=M.certify(profile,73,33152);lo,hi=Q(root['lower']),Q(root['upper'])
+    assert lo==Q(claim['complex_lower'])
+    signs={}
+    for name,z in [('lower',lo),('upper',hi)]:
+        first=M.moment(profile,73,33152,z);second=B.moment(73,33152,list(profile.items()),z)
+        assert(first[1]<1 and second[1]<1)if name=='lower'else(first[0]>1 and second[0]>1)
+        signs[name]={'point':str(z),'mercator':[str(v-1)for v in first],'atanh':[str(v-1)for v in second]}
+    outer=[O.outer47(Q(claim['bit_lower']),z,A)for z in (lo,hi)]
+    assert outer[0]['kappa']==outer[1]['kappa']==claim['kappa']
+    result=dict(status='PASS_TWO_ENGINE_MIXED_PROFILE_AND_OUTER47',kappa=claim['kappa'],kappa_decimal=claim['kappa_decimal'],
+      root=root,signs=signs,outer=outer,profile=dict(sorted(profile.items())),provider_call_counts=dict(counts),
+      scope='Arithmetic for the nominated mixed profile; geometry and full invoice require separate admission. No optimality claim.')
+    dump(out,result);return result
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/JOINT-WORD.json.gz b/research/mixed-fusions-x54-t37/vendor/pr1148/JOINT-WORD.json.gz
new file mode 100644
index 0000000000..3dab3a16bb
Binary files /dev/null and b/research/mixed-fusions-x54-t37/vendor/pr1148/JOINT-WORD.json.gz differ
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1148/NOTICE.md
new file mode 100644
index 0000000000..af0170afc2
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/NOTICE.md
@@ -0,0 +1,8 @@
+Apache-2.0. Prepared for Thomas DiFiore with substantial OpenAI Codex assistance.
+
+* The preceding `k8-coordinated-owners`, `k8-eight-ends`, `k8-eight-ends-t16`, and `k8-three-demotions` packages supply the frozen constructions, owner slots, drivers, searches, and all retained source notices.
+* PR1111 by seslly / shipstuff, commit `381831ea554ea983e16224dabed8921b7d0ffdbc`, introduced the group-635 entrance-demotion lead. Its public PR description was consulted; no code or payload from that PR is consumed. The group-635 idea is not original to this package. This package composes it with two other groups, the eight-endpoint word, a joint frame refit, and its preceding T16 assignment. Credit also PR664's promotion mechanism and descendants.
+* The frame model derives from PR864 (navinor / Claude), as adapted and pinned in `../k8-eight-ends`. The new joint searches treat entrance labels as variables in the same frame graph and retain the scalar/cone constraints. Floating solver output is nomination data only.
+* Retain PR1018 and Rohan Arun's PR987 scalar-word lineage, PR1030's endpoint lead, Hao Yan / FanPUYen's PR858 T16 controller and independent checker, PR870/1074 admission work, PR942 by jon314159 and chafreaky's PR795/890 signed prices, and PR589's bit supplier. Their full dependency notices and source hashes remain in the preceding packages.
+* All global admission engines are unchanged. The exact bound adapts the preceding signed-dual proof with the new pinned local profile, using the same two rational arithmetic engines.
+* No claim of unconditional theorem certification, full Lean proof, or exact optimality of the floating discovery searches is made.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/PLAN.json.gz b/research/mixed-fusions-x54-t37/vendor/pr1148/PLAN.json.gz
new file mode 100644
index 0000000000..c7d39df72e
Binary files /dev/null and b/research/mixed-fusions-x54-t37/vendor/pr1148/PLAN.json.gz differ
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/SPEC.json b/research/mixed-fusions-x54-t37/vendor/pr1148/SPEC.json
new file mode 100644
index 0000000000..9aeea5c043
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/SPEC.json
@@ -0,0 +1,1971 @@
+{
+  "schema": "witness-spec/1",
+  "name": "k8-joint-entrances",
+  "data": {
+    "plan_sha256": "a986515b256f35c1d8d675998fc8d35182c9340bd7149d166337d1b3ebba4de4",
+    "owners_sha256": "7755af4108f066cf1eb13dbaac0a0fbb97a2852ffa7403588d2b5218c81101bf"
+  },
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+    "conservative_complex_lower": "1678373161199654598379/1000000000000000000000000",
+    "kappa": "1675560947524449/1000000000000000000",
+    "assembly_controls_rejected": 69,
+    "provider_counts": {
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+    },
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+  },
+  "pivot_swap": {
+    "recipe": "construction/leaver/PIVOT-SWAP-k8.json",
+    "sha256": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb"
+  }
+}
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md
new file mode 100644
index 0000000000..281e6404ca
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-coordinated-owners-NOTICE.md
@@ -0,0 +1,41 @@
+# Attribution and scope
+
+Prepared for Thomas DiFiore with OpenAI Codex assistance, October 13, 2026.
+Licensed under the repository's Apache-2.0 license.
+
+This contribution changes the whole-helper ownership map for the circuit from
+Jeremy Kothe's PR1018 (`eac7547cb191f875d5f5ea5f9bbb1d2b8c51c4ef`). The
+eight no-helper mutable-source cells, R480 circuit, frame optimization and
+construction controls come from Jeremy Kothe and the credited contributors to
+PR1005. The seven additional triangle slots come from PR1018 using Rohan Arun's
+PR987 search and NewBArch's PR869 builder. None of those circuit improvements
+are claimed as new here.
+
+The starting ownership map is G44Pack3's K8c8, descended from chafreaky's PR685
+and PR741 maps through G44Pack's relabeling and width changes. This package adds
+coordinated complete-call reassignment by grouped integer packing, with
+explicitly serialized owners and an unchanged independent admission verifier.
+
+The separate all-replica upper bound adapts jon314159's PR942 arithmetic
+implementation and proof, using chafreaky's PR795/890 signed-dual prices. Its
+new contribution is the application to PR1018's changed local profile and
+helper inventory. The two rational numerical engines retain their upstream
+authorship. `independent/UPSTREAM.json` records the source file and hash.
+
+All construction, controller, spectator, native phase, finite invoice, exact
+moment and outer-transfer implementations retain their upstream authorship
+and notices. The runtime copies PR1018's verifier files byte for byte. It
+changes the owner nomination, its derived PLAN fields, and expected-value SPEC.
+The original packages remain unchanged.
+
+The bit supplier is the unchanged PR589/PR555 punctured-star construction;
+this run reprices its pinned profile and reruns its admission controls. It does
+not rebuild the bit circuit. Earlier complex ancestry is inherited through the
+pinned PR741 initial word and PR622/PR558 reviewed parent artifacts. The run
+freshly rebuilds the k8 leaver circuit, all later layers, and the seven slots.
+
+This is a conditional finite construction, not an unconditional integer
+multiplication theorem. All-size compilation, common-label and mutable-source
+realization, whole-call hosting, precision/tape, analytic transfer and bit H1–H5
+assumptions remain. No independent human peer review is claimed. Optimizer
+outputs and floating relaxations are discovery evidence, not admission proofs.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-NOTICE.md
new file mode 100644
index 0000000000..a756f9da58
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-NOTICE.md
@@ -0,0 +1,9 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+This package composes earlier community constructions and retains their mathematical assumptions. It claims the displayed finite composition and its checks, not original authorship of E8, the mutable-source k8 circuit, the endpoint technique, or the admission machinery.
+
+* CrocSwap/integer-mult-bounds PR1018 (`research/gauge44-slots`) supplies the R480 k8 + seven-slot circuit, all native scalar/phase checkers, and strict global admission.
+* PR1030, commit d71857cd0ae7824e935aac17327e4ec27f66322b, supplies the rank-seven endpoint-pair lead. Its U8 helpers 588/589 correspond to k8 helpers 574/575. The new composition also uses 572/573, 580/581, and 582/583, with all four reductions refitted together.
+* `discovery/frame_model.py` adapts the complete frame model from PR864 (navinor / Claude), retained in the earlier local research run. The adaptation permits a new initial frame assignment after changing the scalar graph or endpoint constraints. It is nomination code; unchanged independent native checks decide admission.
+* `research/k8-coordinated-owners` supplies the initial whole-owner map and coordinated complete-call search. Earlier owner machinery and dual prices originate with chafreaky, G44Pack, and jon314159; see that package's NOTICE.md.
+* All analytic, compiler, boundary, common-label, hosting, and bit-supplier assumptions remain those of the upstream source chain.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md
new file mode 100644
index 0000000000..d0359f2e08
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-eight-ends-t16-NOTICE.md
@@ -0,0 +1,9 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+This package composes community work. It claims the new finite owner assignment, the documented pattern-pricing search, and the inventory-specific ceiling certificate, not original authorship of E8, the k8 word, the sixteen-replica controller, or the admission machinery.
+
+* `../k8-eight-ends` supplies the unchanged endpoint word, local verification, and initial T8 owners. Its NOTICE.md credits PR1018's R480 k8 + seven-slot supplier, PR1030's rank-seven endpoint lead, PR864's frame model, and earlier owner research.
+* CrocSwap/integer-mult-bounds PR1074, commit `052afc128954f7b6a2b3c409eb4d72248e4020f2`, supplies the consumed controller and strict admission sources. Every file under `vendor/pr1074` is byte-identical to that upstream commit and pinned in `UPSTREAM.json`. The original `UPSTREAM-NOTICE.md` is retained there. PR1074's owner research was contributed by jeremykothe2 with Claude Opus 5.5.
+* The T16 controller, direct-sum parent, actual-window reconstruction, and independent checker originate in Hao Yan / FanPUYen's PR858, with subsequent PR870 and PR1074 adaptations. This package does not modify their checks.
+* `independent/all_t_bound.py` adapts `../k8-coordinated-owners/independent/all_t_bound.py`, itself adapted from jon314159's PR942 certificate and chafreaky's PR795/890 signed dual prices. The two rational arithmetic engines are retained upstream code.
+* The bit supplier remains the cited PR589 supplier. All analytic, compiler, boundary, common-label, hosting, and bit-supplier assumptions remain in force.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1148/k8-three-demotions-NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-three-demotions-NOTICE.md
new file mode 100644
index 0000000000..9f759cfade
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1148/k8-three-demotions-NOTICE.md
@@ -0,0 +1,7 @@
+Apache-2.0. Prepared for Thomas DiFiore with OpenAI Codex assistance.
+
+* `../k8-eight-ends` and `../k8-eight-ends-t16` supply the unchanged scalar word, endpoint construction, initial owner map, and pinned T16 controller. Their notices retain the PR1018, PR1030, PR864, PR858, PR870, PR1074, and earlier E8, k8, frame, owner, and bit-supplier credits.
+* PR1111 by seslly / shipstuff, commit `381831ea554ea983e16224dabed8921b7d0ffdbc`, supplied the entrance-demotion lead: reversing a promotion can profitably trade wider helpers for a different recursive profile. Its README/PR claim was consulted; no PR1111 code or owner payload is consumed. This package instead screens all codimension-one subspaces of the six current dimension-five groups, composes three groups on the eight-endpoint word, and constructs its own complete T16 owner assignment. The older promotion mechanism is credited to PR664 and its descendants.
+* The frame refit uses the preceding adaptation of PR864's complete frame model (navinor / Claude). Solver output is nomination data; independent native replay and unchanged global engines decide admission.
+* The coordinated pattern-pricing search is retained from `../k8-eight-ends-t16`. Earlier owner algorithms and signed duals are credited in its notice. The bound adapts jon314159's PR942 certificate and chafreaky's PR795/890 prices, using the existing two rational arithmetic engines.
+* The fresh native and global checks retain every inherited analytic, compiler, boundary, common-label, hosting, precision/tape, and bit H1–H5 assumption. This package does not claim original authorship of those constructions or an unconditional theorem.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1152/NOTICE.md b/research/mixed-fusions-x54-t37/vendor/pr1152/NOTICE.md
new file mode 100644
index 0000000000..5e32d6fab0
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1152/NOTICE.md
@@ -0,0 +1,39 @@
+# Attribution and source boundary
+
+Prepared for Chafik Boukhalfa with OpenAI Codex assistance. Apache-2.0.
+
+The new contribution is the 37-replica wave order, its frozen integral
+pattern-flow assignment, deterministic matching reconstruction, and strict
+composition with the rank-seven-end seven-slot k8 supplier. The PR1107 local
+word is unchanged. The preceding seven-slot T37 wave construction is retained
+as the direct source of the owner-flow and public reconstruction method.
+
+- Jeremy Kothe (`jeremykothe2`): PR1005 mutable-leaver k8 construction,
+  PR1018 seven-slot construction (following PR987), and PR1022's supplier and
+  sixteen-replica composition. The complete `gauge44-leaver8` and
+  `gauge44-slots` packages are copied unchanged from PR1022's pinned head.
+  Their original notices and attribution chains remain intact, including the
+  earlier gauge, pivot, cold-end, promotion, frame and hybrid constructions.
+- Jeremy Kothe: PR1107's rank-seven-end supplier and its frozen source package.
+  All 197 files are copied unchanged. Alexander Schwartzman (`AlexS-scale`):
+  PR1030's two rank-seven helper-end mechanism. `thakrarsagar`: PR1049's
+  independent leaver-premise checker, included unchanged in that supplier.
+- `jon314159`: PR942's T37 bank envelope, finite prefix reserve, explicit
+  source adaptations and all-replica signed-price argument.
+- Chafik Boukhalfa: PR890's variable-replica composition and independent
+  checker, the retained earlier gauge/owner work, and the prior local
+  pattern-flow/matching formulation used to nominate this assignment.
+- Hao Yan (`FanPUYen`): PR858's direct-sum parent construction, strict physical
+  source-event windows and independent owner audit.
+- Jeremy Kothe: PR799's paired-read-exchange supplier.
+- `DreamingOfClouds`: the retained PR589 tuned P111 bit supplier, with its
+  complete upstream notices.
+- The original source notices credit the PR514/484/507 controller lineage,
+  PR558/552/531 exact phase machinery, the signed-price antecedents, exact
+  moment engines and outer reduction. They are retained rather than replaced
+  by this list.
+
+PR635's required source subtree is retained at its constructor-pinned commit.
+`SOURCE-PINS.json` records each vendored file's original Git blob and SHA-256;
+`DEPENDENCY-PINS.json` pins repository dependencies. No author optimizer is
+needed to reconstruct the new frozen owner map.
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1152/construct.py b/research/mixed-fusions-x54-t37/vendor/pr1152/construct.py
new file mode 100644
index 0000000000..baa7907e1d
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1152/construct.py
@@ -0,0 +1,111 @@
+"""Expand the frozen integer pattern flows without a solver or third-party library.
+
+Credit: PR858 physical windows; local promo4 pattern-flow formulation; standard
+regular bipartite multigraph decomposition by successive perfect matchings.
+Every matching and every integer conservation equation is checked explicitly.
+"""
+import argparse
+from collections import Counter,defaultdict,deque
+from common import P,ROOT,read,dump,load,identity,sha
+
+def matching(A):
+    n=len(A);left=[-1]*n;right=[-1]*n
+    while True:
+        distance=[-1]*n;q=deque()
+        for u in range(n):
+            if left[u]<0:distance[u]=0;q.append(u)
+        while q:
+            u=q.popleft()
+            for v in sorted(A[u]):
+                z=right[v]
+                if z>=0 and distance[z]<0:distance[z]=distance[u]+1;q.append(z)
+        def augment(u):
+            for v in sorted(A[u]):
+                z=right[v]
+                if z<0 or(distance[z]==distance[u]+1 and augment(z)):
+                    left[u]=v;right[v]=u;return True
+            distance[u]=-1;return False
+        count=sum(augment(u) for u in range(n)if left[u]<0)
+        if all(v>=0 for v in left):break
+        assert count,'Regular bipartite graph has no perfect matching'
+    assert sorted(left)==list(range(n)) and all(A[u][v]>0 for u,v in enumerate(left))
+    return left
+
+def construct(parent,word,flow,order):
+    expected_order=sorted([[s,r]for s in range(9)for r in range(37)],key=lambda k:(37*k[0]+8*k[1],k[0],k[1]))
+    assert order==expected_order,'Frozen wave order'
+    mod=load(ROOT/'research/complex-t21-owners/vendor/pr870/t16/build_parent.py','original_actual_windows')
+    windows,schedule=mod.actual_windows(parent,order)
+    original=read(P/'vendor/pr1107/research/gauge44-ends7-t16/data/T8/PLAN.json')
+    widths=[len(word['frames'][word['final'][h]])-len(word['frames'][word['start'][h]])for h in range(224,224+word['R'])]
+    assert Counter(widths)=={4:56,5:32,7:32,8:120,9:240}
+    pools=defaultdict(list)
+    for t in range(333):
+        for h,w in enumerate(widths):pools[t,w].append(h)
+    roles=[];seen=set();flow_edges=0;bin_count=0
+    for group in flow:
+        keys=group['physical_windows'];assert keys and len(keys)==len(set(keys))
+        assert not seen.intersection(keys);seen.update(keys)
+        cap,times=windows[keys[0]]
+        assert all(windows[key]==[cap,times]for key in keys)
+        n=len(times);portbase=0
+        for pattern in group['patterns']:
+            widths_p=pattern['widths'];N=pattern['count'];flows={}
+            assert type(N)is int and 0<N<=112*len(keys)
+            assert all(type(w)is int and w in (4,5,7,8,9)for w in widths_p)
+            assert widths_p==sorted(widths_p) and sum(widths_p)<=cap and len(widths_p)<=n
+            for t,w,count in pattern['flow']:
+                assert all(type(x)is int for x in (t,w,count))
+                assert t in times and w in widths_p and 0<count<=N and(t,w)not in flows
+                flows[t,w]=count
+            flow_edges+=len(flows)
+            counts=Counter(widths_p)
+            assert all(sum(flows.get((t,w),0)for t in times)==N*count for w,count in counts.items())
+            assert all(sum(flows.get((t,w),0)for w in counts)<=N for t in times)
+            if not widths_p:
+                assert not flows;portbase+=N;bin_count+=N;continue
+            A=[defaultdict(int)for _ in range(n)];row_widths=[]
+            for w,count in sorted(counts.items()):
+                remaining=[flows.get((t,w),0)for t in times];ti=0
+                for _ in range(count):
+                    row=len(row_widths);row_widths.append(w);need=N
+                    while need:
+                        while remaining[ti]==0:ti+=1
+                        take=min(need,remaining[ti]);A[row][ti]+=take;remaining[ti]-=take;need-=take
+                assert not any(remaining)
+            K=len(row_widths);deficit=[N-sum(A[i].get(t,0)for i in range(K))for t in range(n)];ti=0
+            assert min(deficit)>=0
+            for row in range(K,n):
+                need=N
+                while need:
+                    while deficit[ti]==0:ti+=1
+                    take=min(need,deficit[ti]);A[row][ti]+=take;deficit[ti]-=take;need-=take
+            assert not any(deficit) and all(sum(row.values())==N for row in A)
+            actual=Counter()
+            for color in range(N):
+                match=matching(A);slots=sorted((times[match[i]],row_widths[i])for i in range(K))
+                for i,t in enumerate(match):
+                    A[i][t]-=1
+                    if not A[i][t]:del A[i][t]
+                index,port=divmod(portbase+color,112);owner,child=map(int,keys[index].split(','));offset=0
+                for t,w in slots:
+                    actual[t,w]+=1;assert pools[t,w];helper=pools[t,w].pop();stage,replica=order[t]
+                    roles.append(dict(stage=stage,replica=replica,time=t,helper=helper,width=w,owner_replica=owner,child=child,port=port,offset=offset,copy=112*owner+port,family=896*owner+112*(2*original['pairs'][str(child)]+original['sides'][str(child)])+port))
+                    offset+=w
+                assert offset==sum(widths_p)
+            assert not any(A) and actual==flows
+            portbase+=N;bin_count+=N
+        assert portbase==112*len(keys)
+    assert seen==set(windows) and not any(pools.values()) and len(roles)==159840
+    roles.sort(key=lambda z:(z['time'],z['helper']))
+    return roles,dict(status='PASS_FROZEN_INTEGER_FLOW_AND_REGULAR_MATCHING',roles=len(roles),bins=bin_count,windows=len(windows),flow_edges=flow_edges,owner_content_sha256=identity(roles),schedule_content_sha256=identity(schedule))
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    for k in ('parent','word','out'):ap.add_argument('--'+k,type=__import__('pathlib').Path,required=True)
+    a=ap.parse_args();out=a.out.resolve();assert not out.exists() and not out.is_relative_to(ROOT);out.mkdir(parents=True)
+    roles,receipt=construct(read(a.parent),read(a.word),read(P/'data/FLOW.json.gz'),read(P/'data/ORDER.json'))
+    dump(out/'OWNERS.json.gz',roles)
+    receipt['inputs']={str(p):sha(p)for p in (a.parent,a.word,P/'data/FLOW.json.gz',P/'data/ORDER.json')}
+    dump(out/'CONSTRUCTION.json',receipt);print(receipt['status'],len(roles),flush=True)
+if __name__=='__main__':main()
diff --git a/research/mixed-fusions-x54-t37/vendor/pr1152/controls.py b/research/mixed-fusions-x54-t37/vendor/pr1152/controls.py
new file mode 100644
index 0000000000..cf713edd8a
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/vendor/pr1152/controls.py
@@ -0,0 +1,25 @@
+"""Reject malformed frozen flow inputs before accepting any reconstructed map."""
+import copy
+from construct import construct
+from common import P,read,dump
+
+def check(parent,word,out):
+    flow=read(P/'data/FLOW.json.gz');order=read(P/'data/ORDER.json')
+    result=[]
+    for name in ('boolean_bin_count','negative_bin_count','duplicate_window','duplicate_flow',
+                 'out_of_window_time','invalid_width','overfull_call','reordered_wave'):
+        bad=copy.deepcopy(flow);badorder=copy.deepcopy(order)
+        group=bad[0];pattern=next(p for p in group['patterns']if p['flow'])
+        if name=='boolean_bin_count':group['patterns'][0]['count']=True
+        elif name=='negative_bin_count':group['patterns'][0]['count']=-1
+        elif name=='duplicate_window':group['physical_windows'].append(group['physical_windows'][0])
+        elif name=='duplicate_flow':pattern['flow'].append(pattern['flow'][0].copy())
+        elif name=='out_of_window_time':pattern['flow'][0][0]=333
+        elif name=='invalid_width':pattern['flow'][0][1]=6
+        elif name=='overfull_call':pattern['flow'][0][2]=pattern['count']+1
+        else:badorder[0],badorder[1]=badorder[1],badorder[0]
+        try:construct(parent,word,bad,badorder)
+        except AssertionError:result.append(name)
+        else:raise AssertionError('Accepted malformed flow: '+name)
+    receipt=dict(status='PASS_FROZEN_FLOW_NEGATIVE_CONTROLS',rejected=result)
+    dump(out,receipt);return receipt
diff --git a/research/mixed-fusions-x54-t37/verify.py b/research/mixed-fusions-x54-t37/verify.py
new file mode 100644
index 0000000000..19918deafd
--- /dev/null
+++ b/research/mixed-fusions-x54-t37/verify.py
@@ -0,0 +1,76 @@
+"""Fresh mixed local replay, deterministic owner reconstruction and strict admission.
+
+No allocation optimizer or discovery-mode controller runs. Outputs must be new
+and outside the checkout. Optional cold PR799 reuse is independently rebound
+with the retained maintainer checker and fixed stage/artifact coverage.
+"""
+import argparse,os,shutil,subprocess,sys,tarfile,time
+from pathlib import Path
+from common import P,ROOT,read,dump,sha,identity,load
+import package
+
+ARCHIVE=ROOT/'research/community-frontier1042-audit/selected-replay.tar.gz'
+ARCHIVE_SHA='22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754'
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--work',type=Path,required=True)
+    ap.add_argument('--ancestry799',type=Path,help='Completed cold verify_frontier799.py output; all bindings and coverage are rechecked')
+    a=ap.parse_args();pins=package.validate();w=a.work.resolve()
+    assert not w.exists() and not w.is_relative_to(ROOT);w.mkdir(parents=True)
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',PYTHON=sys.executable)
+    for k in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD','WITNESS_SPEC'):env.pop(k,None)
+    steps=[]
+    def run(name,script,*args):
+        log=w/(name+'.log');start=time.monotonic()
+        with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(script),*map(str,args)],cwd=ROOT,env=env,stdout=f,stderr=subprocess.STDOUT)
+        steps.append(dict(name=name,exit_code=r.returncode,seconds=round(time.monotonic()-start,3),log_sha256=sha(log)))
+        dump(w/'STAGES.json',steps)
+        if r.returncode:raise RuntimeError(name+'\n'+log.read_text()[-5000:])
+        print('PASS',name,flush=True)
+    assert sha(ARCHIVE)==ARCHIVE_SHA
+    baseline=w/'retained1042';baseline.mkdir()
+    with tarfile.open(ARCHIVE)as t:
+        for m in t.getmembers():
+            assert (baseline/m.name).resolve().is_relative_to(baseline) and (m.isfile() or m.isdir())
+        t.extractall(baseline,filter='data')
+    baseline=baseline/'slots/global';base=baseline/'global/base'
+    import build_word,controls,audit,prepare,controller,price
+    dump(w/'WORD-RECIPE.json',build_word.build(w/'THREE-WORD.json.gz',w/'FOUR-WORD.json.gz'))
+    providers={}
+    for pid,word in [('demote3',w/'THREE-WORD.json.gz'),('demote4',w/'FOUR-WORD.json.gz')]:
+        run('raw-'+pid,ROOT/'research/gauge44-slots/independent/audit_local.py','--word',word,'--main',ROOT,'--output',w/('RAW-'+pid+'.json'))
+        run('native-'+pid,P/'native.py',word,w/pid)
+        providers[pid]=w/pid/'local'
+        stages=read(w/pid/'STEPS.json')
+        assert [v['step']for v in stages]==['native','ledgers','local-replay','wrappers','phases'] and all(v['exit_code']==0 for v in stages)
+        assert read(providers[pid]/'FULL-WORD.json.gz')==read(word)
+    run('entrance-controls',P/'local_controls.py','--out',w/'ENTRANCE-CONTROLS.json')
+    run('composition-controls',P/'composition_controls.py','--out',w/'COMPOSITION-CONTROLS.json')
+    run('owners',P/'construct.py','--parent',base/'split-centres/GLOBAL-TEMPLATE.json.gz',
+        '--word3',providers['demote3']/'CANONICAL-WORD.json.gz','--word4',providers['demote4']/'CANONICAL-WORD.json.gz','--out',w/'constructed')
+    assert read(w/'constructed/OWNERS.json.gz')==read(P/'data/OWNERS.json.gz')
+    controls.check(read(base/'split-centres/GLOBAL-TEMPLATE.json.gz'),{pid:read(d/'CANONICAL-WORD.json.gz')for pid,d in providers.items()},w/'FLOW-CONTROLS.json')
+    independent=audit.check(base,providers,w/'constructed/OWNERS.json.gz',w/'INDEPENDENT-OWNERS.json')
+    global_work=w/'t37';global_work.mkdir();prepare.prepare(global_work,baseline,providers)
+    run('parent',global_work/'adapted/check_parent.py','--source',base/'split-centres/GLOBAL-TEMPLATE.json.gz','--parent',global_work/'lift/GLOBAL-TEMPLATE.json.gz','--out',w/'PARENT-CHECK.json')
+    result=controller.replay(global_work,providers)
+    owner=read(global_work/'strict/global/audit/OWNERS-AND-PROFILE.json')
+    assert independent['actual_73_axis_charts']==owner['actual_73column_sigmas']
+    prices=price.price(providers,w/'PRICE.json');assert prices['kappa']==result['kappa']
+    ancestry=a.ancestry799.resolve()if a.ancestry799 else w/'ancestry799'
+    if not a.ancestry799:run('cold-ancestry799',ROOT/'scripts/verify_frontier799.py','--work',ancestry)
+    cover=load(ROOT/'research/complex-t21-owners/vendor/pr858/baseline_coverage.py','fixed_baseline_coverage').check(ancestry/'ancestor')
+    binding=load(ROOT/'scripts/verify_frontier799_bindings.py','cold_ancestry_bindings').check(ancestry/'ancestor',ancestry/'native',ancestry/'global',ancestry/'INDEPENDENT-LOCAL.json',ancestry/'INDEPENDENT-PRICE.json')
+    for rel in ('split-centres/GLOBAL-TEMPLATE.json.gz','split-centres/CANONICAL-WORD.json.gz','work/complex-nine-native/DATA-PHASES.json'):
+        assert read(base/rel)==read(ancestry/'global/global/base'/rel),'Cold ancestral parent binding: '+rel
+    asm=read(global_work/'strict/ASSEMBLY.json');old=read(ancestry/'global/ASSEMBLY.json')
+    assert asm['bit_lower']==old['bit_lower'] and asm['bit_supplier']==old['bit_supplier']
+    dump(w/'ANCESTRY.json',dict(reused=bool(a.ancestry799),coverage=cover,binding=binding,archive_sha256=ARCHIVE_SHA))
+    assert package.validate()==pins,'Sources changed during verification'
+    result.update(status='PASS_MIXED_FUSIONS_X54_T37_COMPLETE_ADMISSION',source_pins=pins,
+      native_providers=2,entrance_controls=11,composition_controls=28,flow_controls=8,independent_owner_controls=8,
+      ancestry_sha256=sha(w/'ANCESTRY.json'),price_sha256=sha(w/'PRICE.json'),steps=steps)
+    dump(w/'RESULT.json',result)
+    print(result['status'],result['kappa_decimal'],flush=True)
+if __name__=='__main__':main()