diff --git a/research/early-reset-source-banks/EXPECTED.json b/research/early-reset-source-banks/EXPECTED.json
new file mode 100644
index 0000000000..a436b8ac53
--- /dev/null
+++ b/research/early-reset-source-banks/EXPECTED.json
@@ -0,0 +1,10 @@
+{
+  "R": 746,
+  "candidate_sha256": "fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48",
+  "kappa": "1806275959707/1600000000000000",
+  "kappa_decimal": "0.001128922474816875",
+  "bit_lower": "1130198381170380746807/1000000000000000000000000",
+  "complex_lower": "1183986549206329/1000000000000000000",
+  "bit_template_sha256": "0394e2b80b0c08dbd5a643a15d8a2fa44ac6a1a4e6c59de5badd6b6d6987a3d8",
+  "complex_template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f"
+}
diff --git a/research/early-reset-source-banks/LICENSE b/research/early-reset-source-banks/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/early-reset-source-banks/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
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diff --git a/research/early-reset-source-banks/MANIFEST.json b/research/early-reset-source-banks/MANIFEST.json
new file mode 100644
index 0000000000..1e29d25f7b
--- /dev/null
+++ b/research/early-reset-source-banks/MANIFEST.json
@@ -0,0 +1,80 @@
+{
+  "files": {
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+    "vendor/pr433/vendor/export_records.py": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3",
+    "vendor/pr433/vendor/hamming_packets.py": "daa9301e2767a711cfe66c6bebaad68e1a3bdb97ec9e848c927527ab43b37ae5",
+    "vendor/pr433/verify.py": "257c93d015e39713c2cbf7137cf54ae3b844eb7ee756b5377b7f00baba611cdf",
+    "verify.py": "90a36d11238fddcd8beb233406557d62cd3fedd14bcd8388ddd56539ac04b7ab"
+  }
+}
diff --git a/research/early-reset-source-banks/NOTICE.md b/research/early-reset-source-banks/NOTICE.md
new file mode 100644
index 0000000000..7e320b1e18
--- /dev/null
+++ b/research/early-reset-source-banks/NOTICE.md
@@ -0,0 +1,31 @@
+# Provenance and AI assistance
+
+Prepared for eumemic with substantial OpenAI Codex assistance, October 2026.
+New contributions here are the final-use early-reset selection and constructor,
+twelve compatible row reuses, changed variable-R admission, independent
+accounting audit, and portable full-replay integration.
+
+The complete parent at `vendor/pr433/` is preserved without changes from
+icekylinx/integer-mult-bounds commit
+2992f234bcb2538cb70f4d026aa8d08250b1040c, published as CrocSwap PR433.
+icekylinx with substantial OpenAI Codex assistance contributed the split-centre
+complex construction, source-centre reuse and combined integration. Its notices,
+source pins, licenses and cited proofs are retained in that directory.
+
+ai-nanachi with OpenAI Codex supplied PR426's R767 word, clean-reset reuse and
+frame changes; this work generalizes reset placement to the earlier final-use
+boundary. Zhihao Chen with OpenAI Codex supplied PR425's mutable-basis Hamming
+complex word and PR386's compressed nine-stage geometry and auditors. Dylan Crow
+with Anthropic Claude supplied PR370's E8 bit producer, root data and record
+exporter. Jacob Sussman supplied the E8 unit and compiler/frame framework. All
+remaining contributor and source-specific disclosures are retained in the
+parent notices and proofs.
+
+The admission files are explicitly adapted from PR433 for variable helper
+count and freshly charged finite budgets. The constructor and independent audit
+are new. Every adapted code file identifies its origin and Codex assistance.
+
+Apache-2.0. See LICENSE and the untouched upstream notices. No priority or
+global-optimality claim is made. Concurrent PR431 develops other Hamming and
+bit frame-retiming compositions; this package derives from frozen PR433 and
+uses the stated early-reset construction.
diff --git a/research/early-reset-source-banks/PROOF.md b/research/early-reset-source-banks/PROOF.md
new file mode 100644
index 0000000000..111aea008b
--- /dev/null
+++ b/research/early-reset-source-banks/PROOF.md
@@ -0,0 +1,68 @@
+# Early reset and reuse
+
+Let a helper r have its final use in the current main word, and let s be an
+as-yet unused helper. At that boundary, the clean-source value of r is an exact
+F2 sum of the selected donor rows. Apply those XOR additions immediately, at a
+common legal frame. Its clean-source value is now zero. Replace every later
+occurrence of s by r and remove s from the physical register list.
+
+The helper r can still contain arbitrary dirty input. No cleanliness assumption
+is made about this part. Every transformation reconstructs the complete dirty
+response K of the new main word, emits target correction -K at frame zero, and
+emits the literal inverse of the entire helper subword at the common full frame.
+The source-basis transformation already in PR433 is restored by its explicit
+inverse before the B suffix. Each intermediate program is checked on every
+independent source, target and dirty-helper column. Thus the targets acquire
+exactly their source input and all borrowed helper and source inputs are
+restored. No old dirty-response table is copied into the new construction.
+
+The frozen twelve selections include their precise stage, reset boundary,
+donor list, frame and later allocation. The constructor independently checks
+that the old helper is no longer used, the new helper has not yet been used,
+and the actual clean-source reset sum is zero. The independent local audit
+computes rational ranks of all 944 retained frames and checks every common-frame
+incidence, both reflected programs, the final endpoints and both paid ledgers.
+All twelve omitted-reset mutations fail after rebuilding compensation/cleanup.
+Eleven delayed-reset mutations fail; one delayed reset is a valid positive
+control and is explicitly retained as such. Omitting the dirty correction or
+helper cleanup also fails. There are 25 rejected controls and one accepted
+positive control, not 26 rejected controls.
+
+The final local profile is {1:2401, 2:864, 3:475, 4:309, 5:152, 7:14, 8:9}.
+There remain nine sequential full-rank copied centres. The unchanged rational
+root frames and port routes use the PR386 dimension-64 geometry. Every new
+local instruction is re-exported, and its chronological reflection reverses
+the records and turns each erase into a new copy at that exact point. Both
+orientations replay all 986 independent columns and close the private work.
+
+Nine stages and eight replicas use 746 banks per stage. Each bank contains
+eight whole rank-eight residual blocks, with no padding. The owner formula is
+7680 + stage*746 + floor((replica*746+helper)/8), with slot equal to the
+remainder. All 53,712 assignments are explicitly checked. Within one call,
+slots produce distinct cover classes; over a complete cover sweep the eight
+orthogonal residual blocks compose to the full exchange. This uses the inherited
+arbitrary-dirty local lifting and cover interfaces, with every changed owner
+revalidated. The unbanked global replay has 7,674 independent columns.
+
+The new global profile is recounted from 72 emitted local programs and the
+complete idle schedule. It has rank deficit 2496 and largest child 42; the
+integer inequality 64^2 > 2*42^2 proves two-level halving. The finite invoice
+recounts scalar additions, routing factors, selectors, copy/erase episodes,
+compiler adapters, live/physical storage, and the actual cancellation-free
+prefix bound. The latter requires 226 bits, charged at 256. The two-level
+coefficient requires 488 bits, charged at 512. The row coefficient 18355 remains
+below the retained 20161 allowance.
+
+Both rational moment engines give bit saving
+1130198381170380746807/10^24. The fully replayed, unchanged complex supplier gives
+1183986549206329/10^18. With eta=beta=10^-18 and six fixed ordinary bootstrap
+levels, the exact outer assembly gives κ=1806275959707/1600000000000000. Every
+bootstrap cutoff uses the charged finite coefficient. All 47 strict constraints
+are positive; the next 10^-18 κ grid point and invalid-parameter controls fail.
+The independently implemented record/bank/invoice/outer audit reproduces the
+same arithmetic without importing any producer or assembly code.
+
+These are finite conditional claims. The inherited all-size supplier/compiler,
+common chart and grid, restored rows, tape/precision and analytic reduction
+interfaces are assumptions. No global optimality, legacy gx/gxcore acceptance,
+Lean-kernel proof, or practical runtime claim is made.
diff --git a/research/early-reset-source-banks/README.md b/research/early-reset-source-banks/README.md
new file mode 100644
index 0000000000..4343539eea
--- /dev/null
+++ b/research/early-reset-source-banks/README.md
@@ -0,0 +1,39 @@
+# Twelve early helper resets in the split-centre construction
+
+κ = 1.128922474816875e-3 = 1806275959707/1600000000000000.
+
+This conditional finite construction starts from frozen PR433 and reuses twelve
+bit helper rows after an exact reset at their final earlier use. It reduces the
+bit helper count from 758 to 746, recomputes all dirty compensation and inverse
+cleanup, and combines the changed supplier with PR433's split-centre complex
+supplier. The bit side remains the limiting component.
+
+Run with **Python 3.14 or later**, using only the standard library:
+
+```sh
+python3 -B research/early-reset-source-banks/verify.py --output /tmp/early-reset-full
+```
+
+Use a new output directory outside the package. No network access is needed.
+The full verifier regenerates the pinned parent and all its Gaussian phases,
+reconstructs twelve selected resets, checks both local orientations and reset
+mutations, exports the actual bit record stream, checks every global owner,
+recalculates both supplier profiles and finite invoices, and rechecks the exact
+outer assembly independently. Every source file is hashed before and after.
+
+The parent package is byte-for-byte pinned to PR433 commit
+`2992f234bcb2538cb70f4d026aa8d08250b1040c`. Python 3.11 was found to emit a
+different gzip OS header for identical canonical contents; this wrapper requires
+3.14+ to reproduce the original byte pins. It does not alter the parent manifest.
+
+The changed bit word has 986 formal input columns, 53,712 bank assignments,
+14,394 live families and 14,403 physical families. Its fresh prefix bound needs
+226 bits, charged at 256; the two-level coefficient needs 488 bits, charged at
+512. All 47 strict outer inequalities hold, and the next 10^-18 grid point fails.
+
+The result retains the inherited all-size compiler, arbitrary correlated dirty
+banks, compressed windows, restored rows, fixed tape/common grid, precision and
+analytic interfaces. It is not an unconditional multiplication theorem or a new
+Lean proof. See `PROOF.md`, `NOTICE.md` and the preserved parent proofs/notices.
+
+Prepared for eumemic with substantial OpenAI Codex assistance.
diff --git a/research/early-reset-source-banks/admission/LICENSE b/research/early-reset-source-banks/admission/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/early-reset-source-banks/admission/LICENSE
@@ -0,0 +1,201 @@
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+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
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+      the terms of any separate license agreement you may have executed
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diff --git a/research/early-reset-source-banks/admission/UPSTREAM-NOTICE.md b/research/early-reset-source-banks/admission/UPSTREAM-NOTICE.md
new file mode 100644
index 0000000000..b7daf8de49
--- /dev/null
+++ b/research/early-reset-source-banks/admission/UPSTREAM-NOTICE.md
@@ -0,0 +1,41 @@
+# Attribution
+
+Copyright 2026 icekylinx. New split-centre cancellation, reversible source-centre
+composition, integration and verification changes were prepared by icekylinx
+with substantial OpenAI Codex assistance. Apache-2.0 applies to these changes.
+Earlier private Pro exploration used GPT-6 Astra; the new construction and
+composition in this package were developed with Codex.
+
+## Direct sources
+
+- Zhihao Chen, with OpenAI Codex assistance: PR425's mutable-basis Hamming packet
+  producer, common-frame scalar interface, exact phase lowering and verification;
+  PR386's compressed nine-stage bit geometry, owner template, audit and finite
+  accounting. These supply the immediate complex and geometric baselines.
+- ai-nanachi, with OpenAI Codex assistance: PR426's R767 bit word, including 55
+  clean-reset helper reuses and 54 frame changes. The complete selected word is
+  imported unchanged before the nine source-centre replacements.
+- Dylan Crow (utcorvusvolat-dotcom), with Anthropic Claude assistance: PR370's
+  Hamming E8 bit producer, root table, record exporter and local format.
+- Jacob Sussman: the E8 family, complex unit and underlying interchange framework.
+- applecrusher, Dugongue, eumemic, Rohan Arun, Chafik Boukhalfa, DaysSky,
+  DreamingOfClouds, Henry Grant, Evan McKinney, LJH-217 and other contributors:
+  the source, frame, compiler, rational-pricing and analytic lineage detailed
+  in the preserved original notices.
+
+The current value is computed from the two actual resulting programs.
+Independently published improvements are not added numerically. `SOURCES.json`
+records original commits and file hashes; `notices/` preserves source notices.
+Files under `proofs/` describe their original packages and retain their original
+scope and attribution; the current statement is in `PROOF.md`.
+
+## Earlier contributions by icekylinx
+
+The earlier #10, #18, #24, #32 and #36 contributions developed projector batching,
+partial-swap frames, endpoint gauges and conditional analytic/tape integration.
+The subsequent #104, #115, #130 and #144 contributions covered stopped-product
+integration, partial gauges, three-stage covers and paired-cube/source chronology.
+These provide historical context, not additional savings in this ledger. The
+source-centre idea from the preceding local round is used here on PR426's bit
+word. Unselected research experiments and superseded submission candidates are
+not part of this package.
diff --git a/research/early-reset-source-banks/admission/code/bit_audit.py b/research/early-reset-source-banks/admission/code/bit_audit.py
new file mode 100644
index 0000000000..5bb13a38cb
--- /dev/null
+++ b/research/early-reset-source-banks/admission/code/bit_audit.py
@@ -0,0 +1,127 @@
+# Variable-R adaptation by OpenAI Codex, 2026-10-11; upstream notices retained.
+# Adapted with exact rational span checks by icekylinx; Codex assistance.
+"""Independent audit of the emitted bit template, including mutation controls.
+Prepared by Zhihao Chen with OpenAI Codex assistance; Apache-2.0.
+"""
+import argparse, copy, gzip, hashlib, json, struct, time
+from collections import Counter, defaultdict
+from pathlib import Path
+from fractions import Fraction as Q
+
+def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest()
+
+def main():
+    ap=argparse.ArgumentParser(); ap.add_argument('--local-check',type=Path,required=True); ap.add_argument('--out',type=Path,required=True)
+    a=ap.parse_args(); start=time.monotonic(); out=a.out
+    blob=gzip.decompress((out/'GLOBAL-TEMPLATE.json.gz').read_bytes()); t=json.loads(blob)
+    g=json.loads((out/'GLOBAL.json').read_text()); geo=json.loads((out/'GEOMETRY.json').read_text())
+    assert hashlib.sha256(blob).hexdigest()==g['template_sha256']
+    assert t['geometry_sha256']==sha(out/'GEOMETRY.json') and t['source_record_sha256']==sha(a.local_check/'records/249-records.bin')
+    fs=json.loads((a.local_check/'records/frames.json').read_text())['frames']
+    records=list(struct.iter_unpack('<6i',(a.local_check/'records/249-records.bin').read_bytes()))
+    word=json.loads((a.local_check/'bit-source-centres.json').read_text());R=word['R'];LOCAL=240+R;LIVE=7680+9*R;assert R>0 and g['R']==R
+    assert g['word_sha256']==sha(a.local_check/'bit-source-centres.json')
+    def rank(rows):
+        piv={}
+        for rr in rows:
+            row=list(map(Q,rr))
+            for k,b in sorted(piv.items()):
+                q=row[k]
+                if q:row=[x-q*y for x,y in zip(row,b)]
+            k=next((j for j,x in enumerate(row) if x),None)
+            if k is not None:
+                q=row[k];piv[k]=[x/q for x in row]
+        return len(piv)
+    dimensions={};proj={}
+    for key,f in fs.items():
+        k=int(key);B=f['B'];roots=[word['lines'][j] for j in word['frames'][k]]
+        assert rank(B)==f['dim']==rank(B+roots)==rank(roots)
+        dimensions[k]=f['dim'];proj[k]=B
+    sets=[set(f) for f in word['frames']];pairs={}
+    for op,x,y,c,r,z in records:
+        if op==0:
+            assert sets[y]<=sets[c] and dimensions[c]-dimensions[y]==r
+            pairs[y,c]=r
+    # Positive definite rational form: exact inclusion implies commuting
+    # orthogonal projectors and rank(P_V-P_U)=dim(V)-dim(U), also in reflection.
+    assert len(proj)==944
+    expected={}
+    for rev in (False,True):
+        es=[]
+        for op,x,y,c,f,z in (reversed(records) if rev else records):
+            if op==0: es.append([0,x,c if rev else y,y if rev else c,f,int(rev)])
+            elif op==1: es.append([1,x,y,-c if rev else c,f,int(rev)])
+            elif op==(3 if rev else 2): es.append([2,x,y,c,f,abs(dimensions[c]-dimensions[f]),int(rev)])
+            else: es.append([3,x,y,c,f,z,int(rev)])
+        expected['reverse' if rev else 'forward']=es
+    assert t['local_programs']==expected
+
+    def validate(q,check_profile=True):
+        assert (q['m'],q['live'],q['replicas'],q['stages'])==(64,LIVE,8,9)
+        assert q['bank_padding'] is None and q['local_programs']==expected
+        hist=Counter(); occupation=defaultdict(set); calls=set()
+        for c in q['calls']:
+            st,rep,p=c['stage'],c['replica'],c['pair']; rev=c['orientation']=='reverse'
+            assert 0<=st<9 and 0<=rep<8 and p==max(0,(st-1)//2)
+            assert rev==(st in (1,3,5,7)) and (st,rep) not in calls; calls.add((st,rep))
+            own=c['owners']; assert len(own)==LOCAL
+            assert len({(f,tuple(r)) for f,r in own})==LOCAL
+            for i,(family,route) in enumerate(own):
+                assert 0<=family<LIVE
+                if i<240:
+                    side=i//120; side=1-side if rev else side
+                    assert family==rep*960+(2*p+side)*120+i%120 and route==['data',st,i%120]
+                else:
+                    j=i-240; bank,slot=divmod(rep*R+j,8)
+                    assert family==7680+st*R+bank and route==['bank',slot]
+                    assert slot not in occupation[family]; occupation[family].add(slot)
+            for e in q['local_programs'][c['orientation']]:
+                if e[0]==0 and e[4]: hist[e[4]]+=1
+                if e[0]==2: hist[e[5]]+=1
+        assert calls=={(s,r) for s in range(9) for r in range(8)}
+        assert set(occupation)==set(range(7680,LIVE)) and all(s==set(range(8)) for s in occupation.values())
+        levels=[-1]*4; scalar=[1<<i for i in range(8)]; seen=[]; br=0; exchanged=False
+        for e in q['schedule']:
+            if e['kind']=='local_cover_sweep':
+                s,p,rev=e['stage'],e['pair'],e['reverse']; assert levels[p]==s-1 and not exchanged
+                src,dst=(2*p+1,2*p) if rev else (2*p,2*p+1)
+                scalar[dst]^=scalar[src]; levels[p]=s; seen.append(s)
+            elif e['kind']=='idle':
+                p,src,dst,r=e['pair'],e['source_level'],e['target_level'],e['rank']
+                assert levels[p]==src and src<=dst<=8
+                assert r==7*(dst-src); levels[p]=dst
+                if r: hist[r]+=1920
+            elif e['kind']=='bridge':
+                d,s=e['dst'],e['src']; assert levels[d]==levels[s] and e['coefficient'] in (-1,1)
+                scalar[2*d]^=scalar[2*s]; scalar[2*s+1]^=scalar[2*d+1]; br+=1
+            else:
+                assert e['kind']=='exchange' and levels==[8]*4 and not exchanged
+                for p in range(4): scalar[2*p],scalar[2*p+1]=scalar[2*p+1],scalar[2*p]
+                exchanged=True
+        assert exchanged and scalar==[1<<i for i in range(8)] and seen==list(range(9)) and br==9
+        assert 64*LIVE-sum(r*n for r,n in hist.items())==2496
+        if check_profile: assert hist==Counter({int(k):v for k,v in g['profile'].items()})
+        return hist
+    hist=validate(t)
+    controls=[]
+    def rejects(name,mutator):
+        q=copy.deepcopy(t); mutator(q)
+        try: validate(q)
+        except (AssertionError,KeyError,IndexError): controls.append(name)
+        else: raise AssertionError('mutation accepted: '+name)
+    rejects('omit an idle child',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='idle')))
+    rejects('omit a bridge',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='bridge')))
+    rejects('omit terminal exchange',lambda q:q['schedule'].pop())
+    rejects('remove a local invocation',lambda q:q['calls'].pop())
+    rejects('re-use a helper bank slot',lambda q:q['calls'][0]['owners'].__setitem__(241,q['calls'][0]['owners'][240]))
+    rejects('understate live stock',lambda q:q.__setitem__('live',LIVE-1))
+    rejects('omit a local paid move',lambda q:q['local_programs']['forward'].pop(next(i for i,e in enumerate(q['local_programs']['forward']) if e[0]==0)))
+    rejects('wrong reflected copy charge',lambda q:q['local_programs']['reverse'][next(i for i,e in enumerate(q['local_programs']['reverse']) if e[0]==2)].__setitem__(5,0))
+    result=dict(status='PASS_INDEPENDENT_COMPRESSED_BIT_TEMPLATE_AUDIT',template_sha256=g['template_sha256'],
+                source_frames=len(proj),exact_nested_frame_pairs=len(pairs),exact_reflected_pairs=len(pairs),
+                orthogonal_lift_argument='Adding the same orthogonal E_s leaves P_V-P_U unchanged; each audited projector is therefore the literal child projector in every one of the nine windows.',
+                exact_bank_families=9*R,slots_per_bank=8,mutations_rejected=controls,
+                profile=dict(sorted(hist.items())),seconds=time.monotonic()-start)
+    (out/'AUDIT.json').write_text(json.dumps(result,indent=2)+'\n'); print(json.dumps(result),flush=True)
+
+if __name__=='__main__': main()
diff --git a/research/early-reset-source-banks/admission/code/bit_global.py b/research/early-reset-source-banks/admission/code/bit_global.py
new file mode 100644
index 0000000000..e6d9f6b64d
--- /dev/null
+++ b/research/early-reset-source-banks/admission/code/bit_global.py
@@ -0,0 +1,228 @@
+# Variable-R adaptation by OpenAI Codex, 2026-10-11; upstream notices retained.
+# Adapted for the PR426/source-centre composition by icekylinx with Codex assistance.
+"""Source-bound compressed nine-stage bit template and exact scalar audits.
+
+Prepared by Zhihao Chen with OpenAI Codex assistance, Apache-2.0.
+The local E8 bit word is Dylan Crow's pinned PR #370 contribution.
+"""
+import argparse, gzip, hashlib, json, struct, time
+from collections import Counter
+from pathlib import Path
+
+H,V,R,L,K,T,M=8,120,758,9,4,8,64
+LOCAL=2*V+R; DATA=2*K*V*T; LIVE=DATA+L*R
+def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest()
+def write(p,x): p.write_text(json.dumps(x,indent=2)+'\n')
+
+def recipe():
+    out=[dict(kind='local',stage=0,pair=0,reverse=False)]; stage=1
+    for j in range(K):
+        out.append(dict(kind='local',stage=stage,pair=j,reverse=True)); stage+=1
+        if j<K-1: out.append(dict(kind='bridge',dst=j,src=j+1,coefficient=1))
+        out.append(dict(kind='local',stage=stage,pair=j,reverse=False)); stage+=1
+        if j<K-1: out.append(dict(kind='bridge',dst=j,src=j+1,coefficient=-1))
+    for j in reversed(range(K-1)): out.append(dict(kind='bridge',dst=j+1,src=j,coefficient=1))
+    out.append(dict(kind='exchange'))
+    return out
+
+def main():
+    global R,LOCAL,LIVE
+    ap=argparse.ArgumentParser(); ap.add_argument('--source',type=Path,required=True)
+    ap.add_argument('--local-check',type=Path,required=True); ap.add_argument('--out',type=Path,required=True)
+    a=ap.parse_args(); start=time.monotonic(); out=a.out; out.mkdir(parents=True,exist_ok=True)
+    wp=a.source/'bit-source-centres.json'; w=json.loads(wp.read_bytes());R=w['R'];assert isinstance(R,int) and 0<R;LOCAL=2*V+R;LIVE=DATA+L*R;assert (w['h'],w['v'])==(H,V)
+    inherited=Path('inherited/bit-geometry.json.gz')
+    geo=json.loads(gzip.decompress(inherited.read_bytes()))
+    base=Path('work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz')
+    original=json.loads(gzip.decompress(base.read_bytes()))
+    assert geo['word_sha256']==sha(base)
+    assert w['lines']==original['lines'] and w['frames']==original['frames'] and w['form']==original['form']
+    geo['inherited_geometry_sha256']=sha(inherited);geo['word_sha256']=sha(wp)
+    geo['reuse_scope']='Unchanged ports, rational frames, compressed windows and whole rank-eight bank slots; changed owners are replayed separately.'
+    write(out/'GEOMETRY.json',geo)
+    rp=a.local_check/'records/249-records.bin';raw=rp.read_bytes();rec=list(struct.iter_unpack('<6i',raw))
+    state=json.loads((a.local_check/'records/249-states.json').read_text())
+    fs=json.loads((a.local_check/'records/frames.json').read_text())['frames']
+    dims={int(f):z['dim'] for f,z in fs.items()}
+    assert (state['v'],state['n'])==(V,LOCAL)
+    expected_adds=sum(e[0]==1 for e in rec)
+    initial=[state['initial'][str(i)] for i in range(LOCAL)]
+    final=[state['final'][str(i)] for i in range(LOCAL)]
+    assert all(dims[initial[i]]==0 and dims[final[i]]==H for i in range(2*V,LOCAL))
+    streams={}; checks={}; localH=None
+    for reverse in (False,True):
+        cur=(final if reverse else initial)[:]+[-1]; val=[1<<i for i in range(LOCAL)]+[0]
+        norm=[1]*LOCAL+[0]; maxnorm=1; center=None; hist=Counter(); events=[]; copies=0; adds=0
+        dim=lambda f:H-dims[f] if reverse else dims[f]
+        for op,x,y,c,f,z in (reversed(rec) if reverse else rec):
+            if op==0:
+                oldf,newf=(c,y) if reverse else (y,c)
+                assert cur[x]==oldf and dim(newf)-dim(oldf)==f>=0
+                cur[x]=newf
+                if f: hist[f]+=1
+                events.append([0,x,oldf,newf,f,int(reverse)])
+            elif op==1:
+                assert cur[x]==cur[y]==f and x!=y and x<LOCAL
+                if center is not None: assert x!=center
+                if y==LOCAL: assert center is not None
+                if c&1: val[x]^=val[y]
+                norm[x]+=abs(c)*norm[y]; maxnorm=max(maxnorm,norm[x]); adds+=1
+                events.append([1,x,y,-c if reverse else c,f,int(reverse)])
+            elif op==(3 if reverse else 2):
+                assert center is None and y==LOCAL and cur[x]==c and val[LOCAL]==0
+                copy_rank=abs(dim(c)-dim(f)); assert copy_rank==8
+                assert z==(0 if reverse else copy_rank)
+                center=x; cur[LOCAL]=f; val[LOCAL]=val[x]; norm[LOCAL]=norm[x]
+                hist[copy_rank]+=1; copies+=1; events.append([2,x,LOCAL,c,f,copy_rank,int(reverse)])
+            else:
+                assert op==(2 if reverse else 3)
+                assert center==x and y==LOCAL and cur[x]==c and cur[LOCAL]==f
+                assert val[LOCAL]==val[x]
+                val[LOCAL]=0; norm[LOCAL]=0; cur[LOCAL]=-1; center=None
+                events.append([3,x,LOCAL,c,f,z,int(reverse)])
+        assert center is None and copies==9 and adds==expected_adds
+        assert cur[:LOCAL]==(initial if reverse else final)
+        for i in range(LOCAL):
+            want=(1<<i) ^ ((1<<(i-V)) if V<=i<2*V else 0)
+            assert val[i]==want
+        assert val[LOCAL]==0
+        if localH is None: localH=hist
+        else: assert localH==hist
+        key='reverse' if reverse else 'forward'; streams[key]=events
+        checks[key]=dict(copies=copies,adds=adds,records=len(events),all_columns=LOCAL,
+                         cancellation_free_row_l1=maxnorm,profile=dict(sorted(hist.items())),
+                         sha256=hashlib.sha256(json.dumps(events,separators=(',',':')).encode()).hexdigest())
+    assert sum(r*n for r,n in localH.items())==H*R+72+2*V*(H-1)
+    assert sum(localH.values())>0 and all(0<r<=H and n>0 for r,n in localH.items())
+
+    events=recipe(); levels=[-1]*K; schedule=[]; bridge_controls=[]
+    # Full scalar replay on separate dirty helpers for all nine stages.
+    # Physical banking then uses the separately checked injective cover owners.
+    n=2*K*V+L*R; vals=[1<<i for i in range(n)]+[0]; temp=n
+    stages=[]
+    for e in events:
+        if e['kind']=='local':
+            s,p,rev=e['stage'],e['pair'],e['reverse']; assert levels[p]==s-1
+            def mapper(i):
+                if i==LOCAL: return temp
+                if i<2*V:
+                    side=i//V; side=1-side if rev else side
+                    return (2*p+side)*V+i%V
+                return 2*K*V+s*R+i-2*V
+            before=vals[:]; opened=False
+            for z in streams['reverse' if rev else 'forward']:
+                if z[0]==0: continue
+                x,y=mapper(z[1]),mapper(z[2])
+                if z[0]==1:
+                    if z[3]&1: vals[x]^=vals[y]
+                elif z[0]==2:
+                    assert not opened; vals[temp]=vals[x]; opened=True
+                else:
+                    assert opened and vals[temp]==vals[x]; vals[temp]=0; opened=False
+            assert not opened
+            d=(2*p+(0 if rev else 1))*V; src=(2*p+(1 if rev else 0))*V
+            for t in range(V): before[d+t]^=before[src+t]
+            assert vals==before
+            levels[p]=s; schedule.append(dict(kind='local_cover_sweep',**{k:v for k,v in e.items() if k!='kind'}))
+            if s in (1,3,5):
+                j=(s+1)//2; assert levels[j]==-1; levels[j]=s
+                schedule.append(dict(kind='idle',pair=j,rank=7*(s+1),source_level=-1,target_level=s))
+            elif s in (2,4,6):
+                j=s//2; assert levels[j]==s-1; levels[j]=s
+                schedule.append(dict(kind='idle',pair=j,rank=7,source_level=s-1,target_level=s))
+            elif s==8:
+                for j in range(4):
+                    oldlevel=levels[j]; assert oldlevel==2*j+2
+                    schedule.append(dict(kind='idle',pair=j,rank=7*(8-oldlevel),source_level=oldlevel,target_level=8))
+                    levels[j]=8
+            stages.append(dict(stage=s,all_columns=n,helper_columns=L*R,reverse=rev))
+        elif e['kind']=='bridge':
+            d,s=e['dst'],e['src']; assert levels[d]==levels[s]
+            for t in range(V): vals[2*d*V+t]^=vals[2*s*V+t]; vals[(2*s+1)*V+t]^=vals[(2*d+1)*V+t]
+            schedule.append(e)
+        else:
+            assert levels==[8]*4
+            for j in range(K):
+                for t in range(V):
+                    x=2*j*V+t; y=(2*j+1)*V+t; vals[x],vals[y]=vals[y],vals[x]
+            schedule.append(e)
+    assert vals==[1<<i for i in range(n)]+[0]
+    # Integer scalar eight-bank matrix, with each individual bridge shear omitted.
+    def small(skip=-1):
+        z=[[int(i==j) for j in range(8)] for i in range(8)]; count=0
+        def add(d,s,c): z[d]=[x+c*y for x,y in zip(z[d],z[s])]
+        for e in events:
+            if e['kind']=='local':
+                p=e['pair']; add(2*p,2*p+1,-1) if e['reverse'] else add(2*p+1,2*p,1)
+            elif e['kind']=='bridge':
+                d,s,c=e['dst'],e['src'],e['coefficient']
+                for x,y,sgn in [(2*d,2*s,c),(2*s+1,2*d+1,-c)]:
+                    if count!=skip: add(x,y,sgn)
+                    count+=1
+            else:
+                for j in range(4): z[2*j],z[2*j+1]=z[2*j+1],[-x for x in z[2*j]]
+        return z,count
+    ident=[[int(i==j) for j in range(8)] for i in range(8)]
+    z,nb=small(); assert z==ident and nb==18
+    for skip in range(nb): assert small(skip)[0]!=ident; bridge_controls.append(skip)
+
+    paid=Counter(); calls=[]; assignment=set(); expanded=hashlib.sha256(); full_event_count=0
+    for e in events:
+        if e['kind']!='local': continue
+        s,p,rev=e['stage'],e['pair'],e['reverse']; ori='reverse' if rev else 'forward'
+        for rep in range(T):
+            owners=[]
+            for i in range(2*V):
+                side=i//V; side=1-side if rev else side
+                owners.append([rep*(2*K*V)+(2*p+side)*V+i%V, ['data',s,i%V]])
+            for r in range(R):
+                bank,slot=divmod(rep*R+r,8)
+                owners.append([DATA+s*R+bank,['bank',slot]])
+                assignment.add((s,rep,r,bank,slot))
+            assert len({(f,tuple(route)) for f,route in owners})==LOCAL
+            assert all(0<=f<LIVE for f,route in owners)
+            # Stream one full renamed instruction program into a source-bound
+            # digest, including exact owner route descriptors and reflection.
+            for z in streams[ori]:
+                op=z[0]
+                if op==0: paid[z[4]]+=bool(z[4]); mapped=[op,owners[z[1]],*z[2:]]
+                else:
+                    ox=owners[z[1]]; oy=owners[z[2]] if z[2]<LOCAL else [LIVE,['private',0]]
+                    mapped=[op,ox,oy,*z[3:]]
+                    if op==2: paid[z[5]]+=1
+                expanded.update((json.dumps(mapped,separators=(',',':'))+'\n').encode()); full_event_count+=1
+            calls.append(dict(stage=s,replica=rep,pair=p,orientation=ori,owners=owners,local_hash=checks[ori]['sha256']))
+    paid.pop(0,None)
+    assert len(assignment)==L*T*R and len(calls)==72
+    for e in schedule:
+        if e['kind']=='idle' and e['rank']: paid[e['rank']]+=2*V*T
+    mass=sum(r*c for r,c in paid.items()); assert M*LIVE-mass==2496
+    assert all(0<r<M and n>0 for r,n in paid.items())
+    cf=checks['forward']['cancellation_free_row_l1']; cb=checks['reverse']['cancellation_free_row_l1']
+    prefix=(1<<nb)*cf**5*cb**4; charged_prefix=64*((prefix.bit_length()+63)//64);assert prefix<1<<charged_prefix
+    print('Fresh prefix bits',prefix.bit_length(),'charged',charged_prefix,flush=True)
+    template=dict(version='compressed-nine-e8-bit-v1',m=M,h=H,stages=L,replicas=T,live=LIVE,private_centre_reserve=9,
+                  cover='O(I_64/2,F_q) for admitted odd address primes q',loop_order='Each recipe phase: replicas then all cover classes; finish every local invocation before the next.',
+                  schedule=schedule,local_programs=streams,calls=calls,bank_padding=None,
+                  helper_route=f'owner (DATA + stage*{R} + floor(({R}*replica+helper)/8), d*Pi_slot^-1)',
+                  data_route='owner (replica*960 + (2*pair+side)*120+port, d*rho_stage,port)',
+                  bit_operator='D_U exchanges the two address halves on projector U; D_I D_P = D_(I-P) exactly.',
+                  geometry_sha256=sha(out/'GEOMETRY.json'),source_record_sha256=sha(rp))
+    blob=json.dumps(template,separators=(',',':'),sort_keys=True).encode(); (out/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(blob,mtime=0))
+    result=dict(status='PASS_SOURCE_BOUND_NINE_STAGE_BIT_TEMPLATE',h=H,m=M,v=V,R=R,replicas=T,live=LIVE,physical=LIVE+9,
+                word_sha256=sha(wp),source_records_sha256=sha(rp),local_checks=checks,scalar_stages=stages,
+                independent_unbanked_scalar_columns=n,all_scalar_columns_restored=True,
+                geometry_sha256=sha(out/'GEOMETRY.json'),template_sha256=hashlib.sha256(blob).hexdigest(),
+                emitted_program_sha256=expanded.hexdigest(),emitted_events=full_event_count,local_invocations=len(calls),
+                bank_assignments=len(assignment),banks_per_stage=R,whole_rank8_slots_per_bank=8,padding_calls=0,
+                profile=dict(sorted(paid.items())),paid_calls=sum(paid.values()),rank_mass=mass,deficit=2496,
+                maxchild=max(paid),halving_depth=2,halving_integer_inequality=[64**2,2*42**2],
+                local_additions=expected_adds,bridge_additions=18*V*T,copy_erase_episodes=9*72,
+                global_prefix_bound=str(prefix),global_prefix_bits=prefix.bit_length(),charged_prefix_bits=charged_prefix,
+                omitted_bridge_shears_rejected=bridge_controls,
+                scope='Complete source-bound finite cover template. Local and unbanked global F2 columns are replayed; arbitrary physical bank dirt follows by injective owner routes and the all-column local theorem. Astronomical cover enumeration and all-size compiler interfaces remain explicit inherited assumptions.',
+                seconds=time.monotonic()-start)
+    write(out/'GLOBAL.json',result)
+    print(json.dumps({k:v for k,v in result.items() if k not in ('local_checks','scalar_stages','global_prefix_bound')}),flush=True)
+
+if __name__=='__main__': main()
diff --git a/research/early-reset-source-banks/admission/code/bit_price.py b/research/early-reset-source-banks/admission/code/bit_price.py
new file mode 100644
index 0000000000..005da012a3
--- /dev/null
+++ b/research/early-reset-source-banks/admission/code/bit_price.py
@@ -0,0 +1,18 @@
+"""Exact price of the emitted bit program; no histogram supplied by discovery."""
+import json,importlib.util
+from fractions import Fraction as Q
+from pathlib import Path
+
+def load(name):
+ p=Path('work/pr361/code/engines')/(name+'.py');sp=importlib.util.spec_from_file_location('price_'+name,p);m=importlib.util.module_from_spec(sp);sp.loader.exec_module(m);return m
+p=Path('bit426-source-centres/global');g=json.loads((p/'GLOBAL.json').read_text());a=json.loads((p/'AUDIT.json').read_text())
+assert a['template_sha256']==g['template_sha256']
+H={int(r):n for r,n in a['profile'].items()};m,W=g['m'],g['live']
+M,B=load('moment'),load('base_two_moment');root=M.certify(H,m,W,True);lo,hi=Q(root['lower']),Q(root['upper'])
+fb=32*m*m*sum(H.values())
+def other(x):
+ l,u=B.moment(m,W,list(H.items()),x);a,b=B.moment(m,W,[(1,fb)],x);return l+a/10**16,u+b/10**16
+assert other(lo)[1]<1<other(hi)[0]
+root.update(source_template_sha256=g['template_sha256'],two_exact_engines=True)
+Path('BIT-PRICE.json').write_text(json.dumps(root,indent=2)+'\n')
+print('PASS two rational bit moments',root['lower'])
diff --git a/research/early-reset-source-banks/admission/code/combined.py b/research/early-reset-source-banks/admission/code/combined.py
new file mode 100644
index 0000000000..cb8bbbf53c
--- /dev/null
+++ b/research/early-reset-source-banks/admission/code/combined.py
@@ -0,0 +1,56 @@
+# Variable-R and exact dynamic constant-charge adaptation by OpenAI Codex.
+"""Fresh bit finite invoice and joint strict arithmetic for two changed suppliers.
+icekylinx, with Codex assistance. Inherited all-size interfaces remain conditional.
+"""
+import json,hashlib,importlib.util
+from pathlib import Path
+from fractions import Fraction as Q
+import os
+ROOT=Path(os.environ['E8_OUTPUT']);D=ROOT/'bit426-source-centres/global';C=ROOT/'split-centres'
+read=lambda p:json.loads(p.read_text())
+g=read(D/'GLOBAL.json');geo=read(D/'GEOMETRY.json');audit=read(D/'AUDIT.json')
+cx=read(C/'INTEGRATION.json');ca=read(C/'INDEPENDENT-REPLAY.json')
+assert audit['template_sha256']==g['template_sha256'] and ca['template_sha256']==cx['global_template_sha256']
+assert len(audit['mutations_rejected'])==8 and len(ca['mutation_controls_rejected'])==7
+P={int(r):z for r,z in audit['profile'].items()};m,W=g['m'],g['live'];E=sum(P.values());T,L,R,V,K=8,9,g['R'],120,4;assert m==64 and W==7680+9*R
+mass=sum(r*z for r,z in P.items());assert m*W-mass==2496 and g['live']==W
+physical=g['physical'];d=m*m;N=2*m
+unit=L*T*g['local_additions']+g['bridge_additions']
+J=8*T*L*(2*V+R)+8*(2*K*V*T)+2*g['bank_assignments']+2*g['copy_erase_episodes']
+high=16*(d+1)**2;good=8*m*m+8;compiler=128*N**3
+selectors=2*L*T*((W-1)+R*m*(geo['max_route_factors']+(m-1)+m))
+prefix=int(g['global_prefix_bound']);charged_prefix=max(256,64*((prefix.bit_length()+63)//64));assert prefix<1<<charged_prefix
+coefficient=unit+J*high+J*physical+E*(good+compiler)+16*m**3+g['copy_erase_episodes']+selectors+prefix+1
+two=(coefficient+1)**2*(E+1)**2
+charged_two=max(512,64*((two.bit_length()+63)//64));assert two<1<<charged_two and 2*max(P)**2<m*m
+row=2*(m*m+1)+9909+252;assert row==18355<20161
+assert geo['bad_prime_factors']==[2] and geo['route_denominators']==[1,2,4]
+def load(name):
+ p=ROOT/'work/pr361/code/engines'/(name+'.py');sp=importlib.util.spec_from_file_location('joint_'+name,p);mod=importlib.util.module_from_spec(sp);sp.loader.exec_module(mod);return mod
+M,Other,Outer=load('moment'),load('base_two_moment'),load('outer')
+root=M.certify(P,m,W,True);c=Q(root['lower']);grid=Q(1,10**18);b=Q(ca['complex_b'])
+fb=32*m*m*E
+lo,hi=Other.moment(m,W,list(P.items()),c);bl,bh=Other.moment(m,W,[(1,fb)],c)
+assert hi+bh/10**16<1
+eta=beta=Q(1,10**18);s=min(c,(1-beta)*b)-Q(1,10**24)
+assert 0<s<c and s<(1-beta)*b
+chain=[Q(384599,10**10)];cutoffs=[]
+def ceil(x):return -((-x.numerator)//x.denominator)
+for j in range(6):
+ old=chain[-1];a=(1-s)*s+s*old
+ gap=min(s-a,1-a-s,1-a-s*(1-old),1-s);assert old<a<s<1-a and gap>0
+ cutoff=max(ceil(36/gap**2),ceil(2*(4+charged_two)/gap))
+ assert cutoff*gap**2>=36 and cutoff*gap>=2*(4+charged_two)
+ cutoffs.append(dict(gap=str(gap),cutoff_log2=str(cutoff)));chain.append(a)
+q=chain[-1]*(1-2*eta);margin=(1-eta)*q/(1+q);ticks=margin/grid;k=grid*((ticks.numerator-1)//ticks.denominator)
+bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},'rows':{'degree_gap':Q(10**6)-Q(51*20161,25)}}
+a=Outer.assembly(chain[-1],b,bridge,k,eta=eta,beta=beta)
+assert len(a['strict_constraints'])==47 and all(x>0 for x in a['strict_constraints'].values())
+controls=[]
+for name,kk,ee,bb in [('next_grid',k+grid,eta,beta),('zero_eta',k,Q(0),beta),('zero_beta',k,eta,Q(0)),('unit_beta',k,eta,Q(1))]:
+ try:Outer.assembly(chain[-1],b,bridge,kk,eta=ee,beta=bb)
+ except AssertionError:controls.append(name)
+ else:raise AssertionError(name)
+result=dict(status='PASS_CONDITIONAL_SPLIT_CENTRE_ASSEMBLY',kappa=str(k),kappa_decimal=format(float(k),'.18f'),bit_lower=str(c),complex_lower=str(b),binding_component='bit',gain_over_pr425_percent=float(100*(k/Q(1048005508028206,10**18)-1)),bit_invoice=dict(unit_additions=unit,route_items=J,selector_calls=selectors,coefficient=str(coefficient),two_level_coefficient=str(two),prefix_bits=prefix.bit_length(),charged_prefix_bits=charged_prefix,coefficient_bits=coefficient.bit_length(),two_level_coefficient_bits=two.bit_length(),charged_two_level_coefficient_bits=charged_two,row_coefficient=row,live=W,physical=physical),complex_invoice=cx['finite_invoice'],strict_outer_constraints={n:str(x) for n,x in a['strict_constraints'].items()},outer_controls=controls,bootstrap=cutoffs,bit_template_sha256=g['template_sha256'],complex_template_sha256=cx['global_template_sha256'],scope='Finite research composition with explicit changed words, exact local and global replay and incremental phase evidence. All-size correlated dirty-bank, compressed-window, compiler, restored-work, tape/common-grid, precision and analytic interfaces remain inherited assumptions. This certificate makes no unconditional integer-multiplication or Lean-kernel claim.')
+(ROOT/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n')
+print(result['status'],result['kappa_decimal'],result['gain_over_pr425_percent'],result['bit_invoice'])
diff --git a/research/early-reset-source-banks/admission/code/export_records.py b/research/early-reset-source-banks/admission/code/export_records.py
new file mode 100644
index 0000000000..3632d37048
--- /dev/null
+++ b/research/early-reset-source-banks/admission/code/export_records.py
@@ -0,0 +1,72 @@
+"""Export a bitE8/1 word to the PR249 record format read by PR #266's official cohort checkers and PR #315's engines.
+usage: python3 export_records.py word.json[.gz] OUTDIR   ->  OUTDIR/{249-records.bin,249-states.json,frames.json}
+Records are int32 six-tuples: MOVE(0,role,old,new,rank,0), ADD(1,dst,src,1,frame,phase), COPY(2,centre,temp,frame,ZERO,rank),
+ERASE(3,centre,temp,frame,ZERO,0).  A multi-source gate becomes one ADD per source, preceded by the MOVEs of every
+register of the gate to the gate frame.  Frames: integer basis rows B (label vectors of the frame's root lines in the
+word's coordinates, a rational basis) and integer annihilator rows A (standard dot product), as PR #266 expects.
+Dylan Crow, with Anthropic Claude assistance; Apache-2.0."""
+import sys, json, gzip, struct, os
+from fractions import Fraction as Fr
+from math import gcd
+def load(p):
+    with (gzip.open(p,'rt') if p.endswith('.gz') else open(p)) as f: return json.load(f)
+c=load(sys.argv[1]); out=sys.argv[2]; os.makedirs(out,exist_ok=True)
+v,R,h=c['v'],c['R'],c['h']; n=2*v+R; lines=c['lines']
+def basis(idx):
+    rows=[]; piv=[]; B=[]
+    for i in idx:
+        x=[Fr(a) for a in lines[i]]
+        for p,r in zip(piv,rows):
+            if x[p]: f=x[p]/r[p]; x=[a-f*b for a,b in zip(x,r)]
+        nz=[k for k in range(h) if x[k]]
+        if nz: rows.append(x); piv.append(nz[0]); B.append(list(lines[i]))
+    return B,rows,piv
+def annihilator(rows,piv):
+    # rows in echelon (pivot columns piv); free columns give the null space of the row space under the dot product
+    # reduce to RREF
+    R_=[r[:] for r in rows]
+    for i,(p,r) in enumerate(zip(piv,R_)):
+        R_[i]=[a/r[p] for a in r]
+    for i,p in enumerate(piv):
+        for j in range(len(R_)):
+            if j!=i and R_[j][p]: f=R_[j][p]; R_[j]=[a-f*b for a,b in zip(R_[j],R_[i])]
+    free=[k for k in range(h) if k not in piv]; A=[]
+    for f in free:
+        a=[Fr(0)]*h; a[f]=Fr(1)
+        for i,p in enumerate(piv): a[p]=-R_[i][f]
+        L=1
+        for x in a: L=L*x.denominator//gcd(L,x.denominator)
+        ai=[int(x*L) for x in a]; g=0
+        for x in ai: g=gcd(g,abs(x))
+        A.append([x//g for x in ai])
+    return A
+frames={}
+for k,idx in enumerate(c['frames']):
+    B,rows,piv=basis(idx); A=annihilator(rows,piv) if B else [[int(i==j) for j in range(h)] for i in range(h)]
+    assert all(sum(a*b for a,b in zip(x,y))==0 for x in A for y in B) and len(A)+len(B)==h
+    frames[str(k)]=dict(dim=len(B),B=B,A=A)
+dim=[frames[str(k)]['dim'] for k in range(len(c['frames']))]
+ZERO=[k for k in range(len(dim)) if dim[k]==0]; assert len(ZERO)==1; ZERO=ZERO[0]
+cur=list(c['start']); rec=[]
+def move(r,f):
+    if cur[r]!=f: rec.append((0,r,cur[r],f,dim[f]-dim[cur[r]],0)); cur[r]=f
+def run(gates,ph):
+    for f,d,srcs in gates:
+        for r in [d]+srcs: move(r,f)
+        for s in srcs: rec.append((1,d,s,1,f,ph))
+run(c['D'],1); run(c['A'],2)
+temp=n
+for k,q in enumerate(c['ret']):
+    fq=cur[q]; rec.append((2,q,temp,fq,ZERO,dim[fq]))
+    for t,row in enumerate(c['scatter']):
+        if k in row: rec.append((1,v+t,temp,1,ZERO,3))
+    rec.append((3,q,temp,fq,ZERO,0))
+run(c['B'],4); run(c['C'],5)
+for r in range(n): move(r,c['final'][r])
+with open(out+'/249-records.bin','wb') as f:
+    for e in rec: f.write(struct.pack('<6i',*e))
+st=dict(n=n,v=v,h=h,R=R,ZERO=ZERO,initial={str(r):c['start'][r] for r in range(n)},final={str(r):c['final'][r] for r in range(n)},
+        retained_totals=c['ret'],source_owned_roles=[],regs=[])
+json.dump(st,open(out+'/249-states.json','w'),sort_keys=True,separators=(',',':'))
+json.dump(dict(frames=frames),open(out+'/frames.json','w'),sort_keys=True,separators=(',',':'))
+print('exported',len(rec),'records,',len(frames),'frames, n',n,'ZERO',ZERO)
diff --git a/research/early-reset-source-banks/admission/verify.py b/research/early-reset-source-banks/admission/verify.py
new file mode 100644
index 0000000000..a0c936bc81
--- /dev/null
+++ b/research/early-reset-source-banks/admission/verify.py
@@ -0,0 +1,43 @@
+"""Fresh variable-R admission on the frozen PR433 compressed geometry.
+Source claims are conditional; every changed local/global stream is regenerated.
+OpenAI Codex assistance, 2026-10-11; retained notices apply.
+"""
+from pathlib import Path
+import argparse,json,gzip,hashlib,shutil,os,subprocess,sys,time
+from fractions import Fraction as Q
+assert __debug__ and sys.version_info>=(3,11)
+sys.dont_write_bytecode=True
+p=argparse.ArgumentParser();p.add_argument('--word',type=Path,required=True);p.add_argument('--expected-sha256',required=True);p.add_argument('--base-source',type=Path,required=True);p.add_argument('--complex-proof',type=Path,required=True);p.add_argument('--work',type=Path,required=True);a=p.parse_args()
+HERE=Path(__file__).resolve().parent;SRC=a.base_source.resolve();PRIOR=a.complex_proof.resolve();OUT=a.work.resolve();assert not OUT.exists()
+sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest();read=lambda p:json.loads(Path(p).read_text());ug=lambda p:json.loads(gzip.decompress(Path(p).read_bytes()))
+assert sha(a.word)==a.expected_sha256
+sm=read(SRC/'MANIFEST.json');assert {p.relative_to(SRC).as_posix():sha(p)for p in SRC.rglob('*')if p.is_file()and p.name!='MANIFEST.json'}==sm['files']
+w=read(a.word);base=read(PRIOR/'bit426-source-centres/bit-source-centres.json');assert (w['format'],w['h'],w['v'])==(base['format'],8,120)
+for key in['lines','frames','form']:assert w[key]==base[key],key
+assert len(w['start'])==len(w['final'])==240+w['R']
+assert w['start'][:240]==base['start'][:240]and w['final'][:240]==base['final'][:240]
+full=w['final'][0];assert all(x==full for x in w['final'][240:]);assert all(not w['frames'][x] for x in w['start'][240:])
+OUT.mkdir();B=OUT/'bit426-source-centres';B.mkdir();shutil.copyfile(a.word,B/'bit-source-centres.json')
+def cp(src,dst,unzip=False):
+ dst=OUT/dst;dst.parent.mkdir(parents=True,exist_ok=True);raw=Path(src).read_bytes();dst.write_bytes(gzip.decompress(raw)if unzip else raw)
+cp(SRC/'inputs/e8-r865.json.gz','work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz');cp(SRC/'inputs/bit-geometry.json.gz','inherited/bit-geometry.json.gz')
+for n in['moment','base_two_moment','outer']:cp(SRC/f'vendor/engines/{n}.py',f'work/pr361/code/engines/{n}.py')
+cx=read(PRIOR/'split-centres/INTEGRATION.json');ca=read(PRIOR/'split-centres/INDEPENDENT-REPLAY.json');raw=gzip.decompress((PRIOR/'split-centres/GLOBAL-TEMPLATE.json.gz').read_bytes());ch=hashlib.sha256(raw).hexdigest();assert ch==cx['global_template_sha256']==ca['template_sha256']==read(SRC/'EXPECTED.json')['complex_template_sha256'];assert Q(ca['complex_b'])==Q('1183986549206329/1000000000000000000')
+for f in['INTEGRATION.json','INDEPENDENT-REPLAY.json','GLOBAL-TEMPLATE.json.gz','CANONICAL-WORD.json.gz','CLIFFORD-REVIEW.json']:cp(PRIOR/'split-centres'/f,'split-centres/'+f)
+assert sha(OUT/'split-centres/CANONICAL-WORD.json.gz')==cx['canonical_word_sha256'];phase=read(OUT/'split-centres/CLIFFORD-REVIEW.json');assert phase['canonical_word_sha256']==cx['canonical_word_sha256'] and phase['all_child_equalities_include_global_phase']
+checks=[];env=dict(os.environ,E8_OUTPUT=str(OUT),PYTHONDONTWRITEBYTECODE='1');env.pop('PYTHONOPTIMIZE',None)
+def run(name,script,*args):
+ print('RUN',name,flush=True);t=time.monotonic();log=OUT/(name+'.log')
+ with log.open('w')as f:r=subprocess.run([sys.executable,'-B',str(HERE/'code'/script),*map(str,args)],cwd=OUT,env=env,stdout=f,stderr=subprocess.STDOUT)
+ assert r.returncode==0,(name,r.returncode,str(log));checks.append(dict(name=name,exit_code=0,seconds=time.monotonic()-t,log_sha256=sha(log)));print('PASS',name,flush=True)
+try:
+ run('export','export_records.py',B/'bit-source-centres.json',B/'records')
+ run('emitted-global','bit_global.py','--source',B,'--local-check',B,'--out',B/'global')
+ run('independent-global','bit_audit.py','--local-check',B,'--out',B/'global')
+ run('two-exact-moments','bit_price.py')
+ run('both-invoices-outer','combined.py')
+ result=read(OUT/'RESULT.json');assert len(result['strict_outer_constraints'])==47 and all(Q(z)>0 for z in result['strict_outer_constraints'].values());assert sha(a.word)==a.expected_sha256
+ result.update(status='PASS_CHANGED_VARIABLE_R_BIT_FULL_FINITE_ADMISSION',candidate_sha256=a.expected_sha256,R=w['R'],base_source_manifest_sha256=sha(SRC/'MANIFEST.json'),complex_source_template_sha256=ch,fresh_checks=checks,script_hashes={p.name:sha(p)for p in sorted((HERE/'code').glob('*.py'))},all_size_claim=False)
+ (OUT/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n');print(result['status'],result['kappa_decimal'],result['bit_invoice'],flush=True)
+except BaseException as e:
+ (OUT/'FAILURE.json').write_text(json.dumps(dict(error=str(e),checks=checks),indent=2)+'\n');raise
diff --git a/research/early-reset-source-banks/code/independent_audit.py b/research/early-reset-source-banks/code/independent_audit.py
new file mode 100644
index 0000000000..f3ef29b8a0
--- /dev/null
+++ b/research/early-reset-source-banks/code/independent_audit.py
@@ -0,0 +1,159 @@
+"""Independent source/template/invoice arithmetic readback of frozen PR433.
+Prepared with OpenAI Codex assistance, 2026-10-11. Does not import producers.
+"""
+import gzip, hashlib, json, math, struct, sys
+from pathlib import Path
+from collections import Counter
+from fractions import Fraction as Q
+
+D=Path(sys.argv[1]); OUT=Path(sys.argv[2]); OUT.mkdir(parents=True,exist_ok=True)
+read=lambda p:json.loads(p.read_text())
+unzip=lambda p:json.loads(gzip.decompress(p.read_bytes()))
+sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest()
+B=D/'bit426-source-centres'; C=D/'split-centres'
+bt=unzip(B/'global/GLOBAL-TEMPLATE.json.gz'); bg=read(B/'global/GLOBAL.json'); geo=read(B/'global/GEOMETRY.json')
+ct=unzip(C/'GLOBAL-TEMPLATE.json.gz'); cg=read(C/'INTEGRATION.json'); cw=unzip(C/'CANONICAL-WORD.json.gz')
+result=read(D/'RESULT.json')
+
+# Reconstruct both local bit scalar programs from actual binary records, with
+# original dirty columns represented individually. Track every copy's lifetime.
+records=list(struct.iter_unpack('<6i',(B/'records/249-records.bin').read_bytes()))
+frame=read(B/'records/frames.json')['frames']; dim={int(k):v['dim'] for k,v in frame.items()}
+state=read(B/'records/249-states.json'); n=state['n']; R=n-240; WBIT=7680+9*R; assert 0<R<=758
+local_profiles=[]; bit_prefix=[]; bit_adds=[]; copy_counts=[]
+for rev in (False,True):
+ cur=[state['final' if rev else 'initial'][str(i)] for i in range(n)]+[-1]
+ values=[1<<i for i in range(n)]+[0]; norms=[1]*n+[0]
+ hist=Counter(); maximum=1; copies=adds=0; parent=None
+ for op,x,y,c,f,z in (reversed(records) if rev else records):
+  if op==0:
+   assert cur[x]==(c if rev else y)
+   assert f==dim[c]-dim[y]>=0
+   cur[x]=y if rev else c
+   if f:hist[f]+=1
+  elif op==1:
+   assert cur[x]==cur[y]==f and x!=y and x!=parent
+   if c%2:values[x]^=values[y]
+   norms[x]+=abs(c)*norms[y];maximum=max(maximum,norms[x]);adds+=1
+  elif op==(3 if rev else 2):
+   assert parent is None and y==n and values[n]==0 and cur[x]==c
+   parent=x;values[n]=values[x];norms[n]=norms[x];cur[n]=f
+   hist[abs(dim[c]-dim[f])]+=1;copies+=1
+  else:
+   assert op==(2 if rev else 3) and parent==x and values[n]==values[x] and cur[x]==c and cur[n]==f
+   values[n]=norms[n]=0;cur[n]=-1;parent=None
+ assert parent is None and values[n]==0 and copies==9
+ assert cur[:n]==[state['initial' if rev else 'final'][str(i)] for i in range(n)]
+ assert values[:n]==[(1<<i)^((1<<(i-120)) if 120<=i<240 else 0) for i in range(n)]
+ local_profiles.append(hist);bit_prefix.append(maximum);bit_adds.append(adds);copy_counts.append(copies)
+assert local_profiles[0]==local_profiles[1] and bit_adds[0]==bit_adds[1]
+BH=Counter({r:72*z for r,z in local_profiles[0].items()})
+BH.update({7:3*1920,14:2*1920,28:2*1920,42:2*1920})
+assert BH==Counter({int(k):v for k,v in bg['profile'].items()})
+assert sum(r*z for r,z in BH.items())==64*WBIT-2496
+assert bt['bank_padding'] is None and bt['live']==WBIT
+occupied=set();calls=set()
+for call in bt['calls']:
+ st,rep=call['stage'],call['replica']; pair=max(0,(st-1)//2);reverse=st in (1,3,5,7)
+ assert call['pair']==pair and call['orientation']==('reverse' if reverse else 'forward')
+ assert (st,rep) not in calls;calls.add((st,rep));assert len(call['owners'])==n
+ for reg,(family,route) in enumerate(call['owners']):
+  if reg<240:
+   side=reg//120;side=1-side if reverse else side
+   assert family==rep*960+(2*pair+side)*120+reg%120 and route==['data',st,reg%120]
+  else:
+   bank,slot=divmod(rep*R+reg-240,8)
+   assert family==7680+st*R+bank and route==['bank',slot]
+   assert (family,slot) not in occupied;occupied.add((family,slot))
+assert calls=={(s,r) for s in range(9) for r in range(8)}
+assert occupied=={(f,s) for f in range(7680,WBIT) for s in range(8)}
+
+# Recount complex primitive operations directly; copied/private scalar words
+# are admitted separately, here every emitted macro is billed from its value.
+cp={};cc={};cm={}
+for name,events in ct['local_programs'].items():
+ hist=Counter();prims=macros=0
+ for event in events:
+  tag=event[0]
+  if tag=='climb':hist[event[5]]+=1
+  elif tag=='center':hist[event[4]]+=1
+  elif tag=='scalar':
+   e=event[1];macros+=1
+   if e[0] in ('clear','copy'):prims+=2;continue
+   q=Q(*e[3:5]) if e[0]=='add' else Q(*e[2:4]);a,b=abs(q.numerator),q.denominator
+   assert b>0 and not b&(b-1)
+   if e[0]=='scale':
+    assert a>0 and not a&(a-1);prims+=2*(abs(a.bit_length()-b.bit_length())+(q<0))
+   else:
+    # clear, Horner additions/doubles, halvings, accumulation, clear.
+    prims+=2*(3+a.bit_length()-1+sum(map(int,bin(a)[2:]))+b.bit_length()-1)
+ cp[name]=hist;cc[name]=prims;cm[name]=macros
+ assert prims==cg['local_program_checks'][name]['real_component_primitive_bound']
+assert cp['forward']==cp['backward']
+CH=Counter({r:72*z for r,z in cp['forward'].items()});CH.update({1:5040,8:3*1920,16:2*1920,32:2*1920,48:2*1920})
+assert CH==Counter({int(k):v for k,v in cg['global_profile'].items()})
+assert sum(r*z for r,z in CH.items())==73*12720-2496
+assert ct['live']==12720 and ct['physical']==13298
+assigned=set();calls=set()
+for call in ct['calls']:
+ st,rep=call['stage'],call['replica'];pair=max(0,(st-1)//2)
+ assert call['pair']==pair and call['orientation']==('backward' if st in (1,3,5,7) else 'forward')
+ assert (st,rep) not in calls;calls.add((st,rep));assert len(call['owners'])==800
+ for reg,(family,route) in enumerate(call['owners']):
+  if reg<240:assert family==rep*960+(2*pair+reg//120)*120+reg%120 and route==[1,st,reg%120]
+  else:
+   bank,slot=divmod(rep*560+reg-240,8)
+   assert family==7680+st*560+bank and route==[2,slot]
+   assert (family,slot) not in assigned;assigned.add((family,slot))
+assert calls=={(s,r) for s in range(9) for r in range(8)}
+assert assigned=={(f,s) for f in range(7680,12720) for s in range(8)}
+assert ct['bank_padding']==dict(families=list(range(7680,12720)),axis=72,child_rank=1)
+assert ct['private_namespace']==dict(centers=[12720,12736],reserved_tableau=[12736,13296],coefficient=[13296,13298])
+
+# Both finite invoices are reconstructed from the emitted counts.
+m=64;E=sum(BH.values());W=WBIT;physical=W+9
+units=72*bit_adds[0]+18*120*8
+J=8*72*n+8*7680+2*(72*R)+2*648
+selectors=2*72*((W-1)+R*64*(geo['max_route_factors']+63+64))
+prefix=(1<<18)*bit_prefix[0]**5*bit_prefix[1]**4
+assert prefix==int(bg['global_prefix_bound'])
+coefficient=units+J*16*(4096+1)**2+J*physical+E*(8*4096+8+128*128**3)+16*64**3+648+selectors+prefix+1
+two=(coefficient+1)**2*(E+1)**2
+charged_prefix=max(256,64*((prefix.bit_length()+63)//64)); charged_two=max(512,64*((two.bit_length()+63)//64))
+assert prefix<1<<charged_prefix and two<1<<charged_two
+bi=dict(unit_additions=units,route_items=J,selector_calls=selectors,coefficient=str(coefficient),two_level_coefficient=str(two),prefix_bits=prefix.bit_length(),charged_prefix_bits=charged_prefix,coefficient_bits=coefficient.bit_length(),two_level_coefficient_bits=two.bit_length(),charged_two_level_coefficient_bits=charged_two,row_coefficient=18355,live=W,physical=physical)
+assert bi==result['bit_invoice']
+m=73;physical=13298;compiler=64*74**3
+adapters=16*(max(cm.values())+sum(cp['forward'].values())+800+16)+64*m
+local=max(cc.values())+adapters*compiler
+idle_count=sum(e['replicas'] for e in ct['idle_children'])
+outside=8*(6*120*8*9+2*9*8*560+idle_count+5040+17280+3840+7680+12720+physical)+64*m
+scalar=sum(cc[c['orientation']] for c in ct['calls'])
+pervertex=scalar+17280+3840+7680+12720+(72*adapters+outside)*compiler+64*physical
+group=2**1296*math.prod(2**(2*i)-1 for i in range(1,37));stock=group*physical
+mass=group*sum(r*z for r,z in CH.items());logical=group*pervertex+64
+router=compiler*(logical+1)*(stock+1)**2;Blarge=mass+(1<<100000)
+literal=2*(1<<30000)*stock**2+8*mass+4*stock+4+32*m
+assert local<1<<48 and logical<1<<6050 and router<1<<30000 and literal<1<<100000
+assert 32*m*Blarge*Blarge<1<<210000 and 2*Blarge+18<1<<210000
+ci=dict(local_primitive_bound=local,local_adapters=adapters,pervertex=pervertex,physical_stock_bits=stock.bit_length(),router_bits=router.bit_length(),literal_bits=literal.bit_length(),physical_row_coefficient=2*stock.bit_length()+9909+252,retained_row_coefficient=20161,compiler=compiler,G_exponent=30000,E_exponent=100000,C0_exponent=210000,required_C0_bits=(32*m*Blarge*Blarge).bit_length(),halving_degree=2,halving_integer_inequality=[73**2,2*48**2])
+assert ci==cg['finite_invoice']
+
+# Independent strict outer arithmetic; compare all 47 exact inequalities.
+c=Q(result['bit_lower']);b=Q(result['complex_lower']);eta=beta=Q(1,10**18)
+s=min(c,(1-beta)*b)-Q(1,10**24);a=Q(384599,10**10)
+for receipt in result['bootstrap']:
+ old=a;a=(1-s)*s+s*a;gap=min(s-a,1-a-s,1-a-s*(1-old),1-s)
+ assert gap==Q(receipt['gap']) and old<a<s<1-a
+ cutoff=int(receipt['cutoff_log2']);assert cutoff*gap**2>=36 and cutoff*gap>=2*(4+charged_two)
+q=a*(1-2*eta);eps=(1-eta)/(1+q);minimum=eps*q;k=Q(result['kappa'])
+assert k<minimum<=k+Q(1,10**18)
+tau,sigma=1-a,1-b;lam=(tau+1-q)/2;lp=1-q;reservation=q+eta/4;r=(minimum+1-eps)/2;delta=eta/8
+internal=tau+(1-beta)*max(sigma-tau,Q(0));leaf=sigma+beta*(1-sigma)
+margins=dict(balanced_prefix=1-eps,coordinate_movement=a,compact_phase_layer=minimum,bulk_exposure=a,Gaussian_arithmetic=min(1-eps-delta,r-delta),scalar_work=1-eps-delta,dimension=eps)
+slacks=dict(bit_positive=a,complex_above_bit=b-a,complex_below_one_over32=Q(1,32)-b,beta_positive=beta,beta_below_one=1-beta,leaf_saving_above_bit=(1-beta)*b-a,q_positive=q,q_below_internal=1-internal-q,q_below_leaf=1-leaf-q,c_positive=reservation,c_below_one=1-reservation,q_below_reservations=reservation-q,lambda_above_tau=lam-tau,lambda_above_sigma=lam-sigma,lambda_above_internal=lam-internal,lambda_prime_above_lambda=lp-lam,compact_leaf=lp-leaf,compact_reservations=lp-(1-reservation),lambda_prime_below_one=q,epsilon_positive=eps,epsilon_below_one=1-eps,guard_width=1-eps,K_geometry=1-eps*(1+reservation),K_dominates_log=eps*reservation,record_suffix=1-eps,phase_local=1-eps-delta,phase_boundary=r-delta,gamma_sublinear=1-eps-r,cell_above_band=eps-(1-r)/2,prime_interval_packing=1-eps,alpha_positive=r,alpha_below_one=1-r,alpha_below_one_fourth=Q(1,4)-r,delta_positive=delta,delta_below_one_eighth=Q(1,8)-delta,short_record_fallback=eps-a,small_field_exposure=1-eps-minimum,artificial_boundary=8-eps+r-delta-minimum,literal_scalar_guard=Q(1),row_product_gap=Q(10**6)-Q(51*20161,25))
+slacks.update({n+'_above_kappa':z-k for n,z in margins.items()})
+assert len(slacks)==47 and min(slacks.values())>0
+assert {n:str(z) for n,z in slacks.items()}==result['strict_outer_constraints']
+report=dict(status='PASS_EARLY_RESET_INDEPENDENT_RECORD_BANK_INVOICE_OUTER_AUDIT',bit_columns_both_orientations=n,bit_assignments=len(occupied),complex_assignments=len(assigned),bit_profile=dict(sorted(BH.items())),complex_profile=dict(sorted(CH.items())),bit_invoice=bi,complex_invoice=ci,kappa=str(k),strict_constraints=47,adjacent_grid_rejected=True,source_sha256=sha(Path(__file__)),input_hashes={str(p):sha(p) for p in [B/'records/249-records.bin',B/'global/GLOBAL-TEMPLATE.json.gz',C/'GLOBAL-TEMPLATE.json.gz',D/'RESULT.json']},scope='Independent finite source/program accounting and exact arithmetic. Scalar primitive and phase audits separate; inherited all-size interfaces remain conditional.')
+(OUT/'RESULT.json').write_text(json.dumps(report,indent=2)+'\n');print(report['status'],str(k))
diff --git a/research/early-reset-source-banks/constructor/LOCAL-AUDIT.json b/research/early-reset-source-banks/constructor/LOCAL-AUDIT.json
new file mode 100644
index 0000000000..05553d61df
--- /dev/null
+++ b/research/early-reset-source-banks/constructor/LOCAL-AUDIT.json
@@ -0,0 +1,157 @@
+{
+  "status": "PASS_ALL_COLUMNS_AND_BOTH_FRAME_LEDGERS",
+  "R": 746,
+  "columns": 986,
+  "operations": 18825,
+  "forward_profile": {
+    "1": 2401,
+    "2": 864,
+    "3": 475,
+    "4": 309,
+    "5": 152,
+    "7": 14,
+    "8": 9
+  },
+  "reverse_profile": {
+    "1": 2401,
+    "2": 864,
+    "3": 475,
+    "4": 309,
+    "5": 152,
+    "7": 14,
+    "8": 9
+  },
+  "exact_rational_frame_ranks": 944,
+  "source_sha256": "015811014644ed62acba1da590d9cf6ebdfe834d89867f8ce2b68722609072ea",
+  "output_sha256": "fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48",
+  "mutation_controls": [
+    {
+      "round": 0,
+      "mutation": "omit",
+      "rejected": "('scalar', 178)"
+    },
+    {
+      "round": 0,
+      "mutation": "late",
+      "rejected": "('scalar', 178)"
+    },
+    {
+      "round": 1,
+      "mutation": "omit",
+      "rejected": "('scalar', 153)"
+    },
+    {
+      "round": 1,
+      "mutation": "late",
+      "accepted": true
+    },
+    {
+      "round": 2,
+      "mutation": "omit",
+      "rejected": "('scalar', 177)"
+    },
+    {
+      "round": 2,
+      "mutation": "late",
+      "rejected": "('frame', 411, 515, 458)"
+    },
+    {
+      "round": 3,
+      "mutation": "omit",
+      "rejected": "('scalar', 226)"
+    },
+    {
+      "round": 3,
+      "mutation": "late",
+      "rejected": "('frame', 315, 489, 461)"
+    },
+    {
+      "round": 4,
+      "mutation": "omit",
+      "rejected": "('scalar', 170)"
+    },
+    {
+      "round": 4,
+      "mutation": "late",
+      "rejected": "('frame', 427, 485, 463)"
+    },
+    {
+      "round": 5,
+      "mutation": "omit",
+      "rejected": "('scalar', 234)"
+    },
+    {
+      "round": 5,
+      "mutation": "late",
+      "rejected": "('frame', 299, 481, 465)"
+    },
+    {
+      "round": 6,
+      "mutation": "omit",
+      "rejected": "('scalar', 194)"
+    },
+    {
+      "round": 6,
+      "mutation": "late",
+      "rejected": "('frame', 379, 480, 466)"
+    },
+    {
+      "round": 7,
+      "mutation": "omit",
+      "rejected": "('scalar', 162)"
+    },
+    {
+      "round": 7,
+      "mutation": "late",
+      "rejected": "('frame', 439, 477, 467)"
+    },
+    {
+      "round": 8,
+      "mutation": "omit",
+      "rejected": "('scalar', 138)"
+    },
+    {
+      "round": 8,
+      "mutation": "late",
+      "rejected": "('frame', 487, 476, 468)"
+    },
+    {
+      "round": 9,
+      "mutation": "omit",
+      "rejected": "('scalar', 146)"
+    },
+    {
+      "round": 9,
+      "mutation": "late",
+      "rejected": "('frame', 471, 473, 469)"
+    },
+    {
+      "round": 10,
+      "mutation": "omit",
+      "rejected": "('scalar', 154)"
+    },
+    {
+      "round": 10,
+      "mutation": "late",
+      "rejected": "('frame', 455, 472, 470)"
+    },
+    {
+      "round": 11,
+      "mutation": "omit",
+      "rejected": "('scalar', 209)"
+    },
+    {
+      "round": 11,
+      "mutation": "late",
+      "rejected": "('frame', 343, 549, 459)"
+    },
+    {
+      "mutation": "omit dirty compensation",
+      "rejected": "('scalar', 120)"
+    },
+    {
+      "mutation": "omit helper cleanup",
+      "rejected": "('scalar', 240)"
+    }
+  ]
+}
diff --git a/research/early-reset-source-banks/constructor/SOURCE-PINS.json b/research/early-reset-source-banks/constructor/SOURCE-PINS.json
new file mode 100644
index 0000000000..54a881b75a
--- /dev/null
+++ b/research/early-reset-source-banks/constructor/SOURCE-PINS.json
@@ -0,0 +1,13 @@
+{
+  "upstream_pull_request": "https://github.com/CrocSwap/integer-mult-bounds/pull/433",
+  "upstream_commit": "2992f234bcb2538cb70f4d026aa8d08250b1040c",
+  "source_word_sha256": "015811014644ed62acba1da590d9cf6ebdfe834d89867f8ce2b68722609072ea",
+  "output_word_sha256": "fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48",
+  "upstream_files": {
+    "code/bit_construct.py": "a461e6c983531beb5c8ac82ff593f39ce4e056387d1d6061f6e6b294dde4395f",
+    "inputs/bit-r767.json.gz": "bd3b84244528767b85d8d7fe423b155630b5c659e21e51563674b1dcb6305ad7",
+    "NOTICE.md": "66101a9e74d0ba9c2da4c8802bcb1968534adfa7130b954628eb8bf515fc0389",
+    "SOURCES.json": "11aa666d678fed084b01d1e8e47239e1674eaedbc6fe0cee7edb2753477af9be",
+    "vendor/export_records.py": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3"
+  }
+}
diff --git a/research/early-reset-source-banks/constructor/construct.py b/research/early-reset-source-banks/constructor/construct.py
new file mode 100644
index 0000000000..a1cb385e61
--- /dev/null
+++ b/research/early-reset-source-banks/constructor/construct.py
@@ -0,0 +1,123 @@
+"""Replay twelve exact early-reset helper reuses of the PR433 bit word.
+
+Prepared with OpenAI Codex assistance; Apache-2.0. Inherited source notices
+apply. PR433 is due to icekylinx with Codex assistance, building on ai-nanachi's
+PR426 word, Dylan Crow's PR370 format and Jacob Sussman's E8 framework.
+This file certifies a local scalar word; global pricing is a separate check.
+"""
+import argparse
+import copy
+import hashlib
+import json
+from pathlib import Path
+
+assert __debug__, 'Assertions must remain enabled'
+BASE_SHA = '015811014644ed62acba1da590d9cf6ebdfe834d89867f8ce2b68722609072ea'
+OUTPUT_SHA = 'fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48'
+
+
+def encode(c):
+    return json.dumps(c, sort_keys=True, separators=(',', ':')).encode()
+
+
+def transform(old, z, mutation=None):
+    c = copy.deepcopy(old)
+    v, n = c['v'], 2*c['v']+c['R']
+    r, s = z['retired_helper'], z['new_helper']
+    assert 2*v <= r < n and 2*v <= s < n and r != s
+    assert r not in c['ret'] and s not in c['ret']
+    gates = c['A']+c['B']
+    uses = lambda q: [i for i, (_, d, ss) in enumerate(gates) if q == d or q in ss]
+    assert max(uses(r)) == z['reset_after_step'] < min(uses(s)) == z['new_step']
+    assert z['reset_after_step'] == z['reset_after_gate'] + (len(c['A']) if z['reset_part'] == 'B' else 0)
+    assert z['reset_size'] == len(z['reset_donors'])
+    assert r not in z['reset_donors'] and s not in z['reset_donors']
+    # Check the reset identity in the actual current clean-source basis.
+    rows = [(1 << i) if i < v else 0 for i in range(n)]
+    for _, d, ss in gates[:z['reset_after_step']+1]:
+        for q in ss:
+            rows[d] ^= rows[q]
+    residual = rows[r]
+    for q in z['reset_donors']:
+        residual ^= rows[q]
+    assert residual == 0
+    reset = [z['frame'], r, z['reset_donors']]
+    if mutation == 'late':
+        offset = z['new_step']
+        part = 'A' if offset < len(c['A']) else 'B'
+        if part == 'B':
+            offset -= len(c['A'])
+        c[part].insert(offset, reset)
+    elif mutation != 'omit':
+        c[z['reset_part']].insert(z['reset_after_gate']+1, reset)
+    physical = [q for q in range(n) if q != s]
+    index = {q: j for j, q in enumerate(physical)}
+    alias = lambda q: index[r if q == s else q]
+    for part in ('A', 'B'):
+        c[part] = [[f, alias(d), [alias(q) for q in ss]] for f, d, ss in c[part]]
+    c['R'] -= 1
+    c['start'] = [c['start'][q] for q in physical]
+    c['final'] = [c['final'][q] for q in physical]
+    c['ret'] = [index[q] for q in c['ret']]
+    full = c['final'][0]
+    c['C'] = [[full, d, ss] for _, d, ss in reversed(c['A']+c['B']) if d >= 2*v]
+    # Recompute, rather than inherit, the entire helper-dirty compensation.
+    dirty = [(1 << q) if q >= 2*v else 0 for q in range(n-1)]
+    def run(gs):
+        for _, d, ss in gs:
+            assert d not in ss and len(ss) == len(set(ss))
+            for q in ss:
+                dirty[d] ^= dirty[q]
+    run(c['A'])
+    retained = [dirty[q] for q in c['ret']]
+    for t, ss in enumerate(c['scatter']):
+        for j in ss:
+            dirty[v+t] ^= retained[j]
+    run(c['B'])
+    zero = c['start'][v]
+    c['D'] = []
+    for t in range(v):
+        bits = dirty[v+t]
+        ss = [q for q in range(2*v, n-1) if bits >> q & 1]
+        assert bits == sum(1 << q for q in ss)
+        if ss:
+            c['D'].append([zero, v+t, ss])
+    return c
+
+
+def main():
+    ap = argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--source', type=Path, required=True)
+    ap.add_argument('--selections', type=Path, default=Path(__file__).with_name('selections.json'))
+    ap.add_argument('--out', type=Path, required=True)
+    a = ap.parse_args()
+    raw = a.source.read_bytes()
+    assert hashlib.sha256(raw).hexdigest() == BASE_SHA
+    old = json.loads(raw)
+    selections = json.loads(a.selections.read_bytes())
+    assert len(selections) == 12
+    from local_audit import audit
+    receipts = []
+    c = old
+    for i, z in enumerate(selections):
+        c = transform(c, z)
+        result = audit(c)
+        result['round'] = i
+        receipts.append(result)
+    for field in ('lines', 'frames', 'form', 'coords', 'h', 'v'):
+        assert c[field] == old[field]
+    blob = encode(c)
+    assert hashlib.sha256(blob).hexdigest() == OUTPUT_SHA
+    a.out.mkdir(parents=True, exist_ok=True)
+    (a.out/'bit-source-centres.json').write_bytes(blob)
+    (a.out/'CONSTRUCTION.json').write_text(json.dumps(dict(
+        status='PASS_TWELVE_EARLY_RESETS_LOCAL_WORD',
+        source_sha256=BASE_SHA, output_sha256=OUTPUT_SHA,
+        selections_sha256=hashlib.sha256(a.selections.read_bytes()).hexdigest(),
+        unchanged_geometry_fields=['lines', 'frames', 'form', 'coords', 'h', 'v'],
+        old_R=old['R'], new_R=c['R'], rounds=receipts), indent=2)+'\n')
+    print('PASS', c['R'], OUTPUT_SHA)
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/early-reset-source-banks/constructor/local_audit.py b/research/early-reset-source-banks/constructor/local_audit.py
new file mode 100644
index 0000000000..918601e0b7
--- /dev/null
+++ b/research/early-reset-source-banks/constructor/local_audit.py
@@ -0,0 +1,158 @@
+"""Independent all-column scalar and two-orientation frame audit.
+
+Prepared with OpenAI Codex assistance; Apache-2.0.
+"""
+import argparse
+import copy
+import hashlib
+import json
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+
+assert __debug__, 'Assertions must remain enabled'
+
+
+def rank(rows):
+    pivots = {}
+    for row in rows:
+        row = list(map(Q, row))
+        for j, b in sorted(pivots.items()):
+            x = row[j]
+            if x:
+                row = [p-x*q for p, q in zip(row, b)]
+        j = next((j for j, x in enumerate(row) if x), None)
+        if j is not None:
+            x = row[j]
+            pivots[j] = [q/x for q in row]
+    return len(pivots)
+
+
+def audit(c):
+    v, n = c['v'], 2*c['v']+c['R']
+    frames = [set(f) for f in c['frames']]
+    dim = [rank([c['lines'][j] for j in f]) for f in frames]
+    assert len(frames) == 944 and c['h'] == 8
+    assert len(c['start']) == len(c['final']) == n
+    state = [1 << i for i in range(n)]
+    cur = c['start'][:]
+    hist = Counter()
+    trace = []
+    def move(q, f):
+        old = cur[q]
+        assert frames[old] <= frames[f], ('frame', q, old, f)
+        if f != old:
+            trace.append(('move', q, old, f))
+            if dim[f] > dim[old]:
+                hist[dim[f]-dim[old]] += 1
+            cur[q] = f
+    def run(gs):
+        for f, d, ss in gs:
+            assert 0 <= d < n and all(0 <= q < n for q in ss)
+            assert d not in ss and len(ss) == len(set(ss))
+            for q in [d]+ss:
+                move(q, f)
+            for q in ss:
+                state[d] ^= state[q]
+                trace.append(('add', d, q, f))
+    run(c['D'])
+    run(c['A'])
+    assert all(dim[cur[q]] == 8 for q in c['ret'])
+    assert all(dim[cur[q]] == 0 for q in range(v, 2*v))
+    totals = [state[q] for q in c['ret']]
+    assert len(totals) == 9
+    for j, q in enumerate(c['ret']):
+        trace.append(('copy', q, cur[q]))
+        hist[dim[cur[q]]] += 1
+        for t, ss in enumerate(c['scatter']):
+            assert len(ss) == len(set(ss))
+            if j in ss:
+                state[v+t] ^= totals[j]
+                trace.append(('scatter', v+t, q))
+        trace.append(('erase', q, cur[q]))
+    run(c['B'])
+    run(c['C'])
+    for q, f in enumerate(c['final']):
+        move(q, f)
+    expected = [1 << i for i in range(n)]
+    for t in range(v):
+        expected[v+t] ^= 1 << t
+    assert state == expected, ('scalar', next((i for i in range(n) if state[i] != expected[i]), None))
+    # Reverse every emitted operation; charge each former erase as the copy.
+    # The scalar endpoint shear is self-inverse in F2, including all dirt.
+    reverse = [1 << i for i in range(n)]
+    rhist = Counter()
+    labels = c['final'][:]
+    for e in reversed(trace):
+        if e[0] == 'move':
+            _, q, old, new = e
+            assert labels[q] == new and frames[old] <= frames[new]
+            labels[q] = old
+            if dim[new] > dim[old]:
+                rhist[dim[new]-dim[old]] += 1
+        elif e[0] == 'add':
+            _, d, q, f = e
+            assert labels[d] == labels[q] == f
+            reverse[d] ^= reverse[q]
+        elif e[0] == 'scatter':
+            _, d, q = e
+            reverse[d] ^= reverse[q]
+        elif e[0] == 'erase':
+            _, q, f = e
+            assert labels[q] == f
+            rhist[dim[f]] += 1
+        else:
+            assert e[0] == 'copy'
+    assert labels == c['start'] and reverse == expected
+    assert rhist == hist
+    assert sum(r*k for r, k in hist.items()) == 8*n-168
+    return dict(status='PASS_ALL_COLUMNS_AND_BOTH_FRAME_LEDGERS',
+                R=c['R'], columns=n, operations=len(trace),
+                forward_profile=dict(sorted(hist.items())),
+                reverse_profile=dict(sorted(rhist.items())),
+                exact_rational_frame_ranks=len(dim))
+
+
+def main():
+    ap = argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--source', type=Path, required=True)
+    ap.add_argument('--selections', type=Path, default=Path(__file__).with_name('selections.json'))
+    ap.add_argument('--out', type=Path, required=True)
+    a = ap.parse_args()
+    from construct import BASE_SHA, OUTPUT_SHA, encode, transform
+    raw = a.source.read_bytes()
+    assert hashlib.sha256(raw).hexdigest() == BASE_SHA
+    c = json.loads(raw)
+    controls = []
+    for i, z in enumerate(json.loads(a.selections.read_bytes())):
+        for mode in ('omit', 'late'):
+            altered = transform(c, z, mutation=mode)
+            try:
+                audit(altered)
+            except AssertionError as exc:
+                assert not (mode == 'late' and i == 1), 'This delay is a valid positive control'
+                controls.append(dict(round=i, mutation=mode, rejected=str(exc)))
+            else:
+                controls.append(dict(round=i, mutation=mode, accepted=True))
+                assert mode == 'late' and i == 1, 'Unexpectedly accepted mutation'
+        c = transform(c, z)
+    result = audit(c)
+    assert hashlib.sha256(encode(c)).hexdigest() == OUTPUT_SHA
+    for name, phase in [('omit dirty compensation', 'D'), ('omit helper cleanup', 'C')]:
+        altered = copy.deepcopy(c)
+        altered[phase] = []
+        try:
+            audit(altered)
+        except AssertionError as exc:
+            controls.append(dict(mutation=name, rejected=str(exc)))
+        else:
+            raise AssertionError('Accepted mutation: '+name)
+    result['source_sha256'] = BASE_SHA
+    result['output_sha256'] = OUTPUT_SHA
+    result['mutation_controls'] = controls
+    a.out.write_text(json.dumps(result, indent=2)+'\n')
+    print(json.dumps(result))
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/early-reset-source-banks/constructor/selections.json b/research/early-reset-source-banks/constructor/selections.json
new file mode 100644
index 0000000000..91bf3f782d
--- /dev/null
+++ b/research/early-reset-source-banks/constructor/selections.json
@@ -0,0 +1,183 @@
+[
+  {
+    "reset_after_step": 1035,
+    "reset_part": "A",
+    "reset_after_gate": 1035,
+    "new_helper": 949,
+    "retired_helper": 252,
+    "frame": 458,
+    "reset_donors": [
+      0,
+      1,
+      512,
+      523
+    ],
+    "reset_size": 4,
+    "new_step": 1403
+  },
+  {
+    "reset_after_step": 1330,
+    "reset_part": "A",
+    "reset_after_gate": 1330,
+    "new_helper": 942,
+    "retired_helper": 457,
+    "frame": 470,
+    "reset_donors": [
+      708,
+      710,
+      714
+    ],
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diff --git a/research/early-reset-source-banks/evidence/EARLY-RESET-CANDIDATES.json b/research/early-reset-source-banks/evidence/EARLY-RESET-CANDIDATES.json
new file mode 100644
index 0000000000..09d84a72cd
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/EARLY-RESET-CANDIDATES.json
@@ -0,0 +1,6194 @@
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diff --git a/research/early-reset-source-banks/evidence/GREEDY-CHECKPOINT.json b/research/early-reset-source-banks/evidence/GREEDY-CHECKPOINT.json
new file mode 100644
index 0000000000..cbc6a460d8
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/GREEDY-CHECKPOINT.json
@@ -0,0 +1,380 @@
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diff --git a/research/early-reset-source-banks/evidence/REUSE-BEST.json b/research/early-reset-source-banks/evidence/REUSE-BEST.json
new file mode 100644
index 0000000000..d3653a7d48
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/REUSE-BEST.json
@@ -0,0 +1,32 @@
+{
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diff --git a/research/early-reset-source-banks/evidence/candidate-admission.json b/research/early-reset-source-banks/evidence/candidate-admission.json
new file mode 100644
index 0000000000..8fb7b8c9c0
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/candidate-admission.json
@@ -0,0 +1,172 @@
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+    "alpha_below_one_fourth": "1946502743860329796436425026113642450155667464952196026355623008613718298367906770756854042653787289166223290198398670992249243727383730606181759742970879956332821654954424392246811024993255426154142387/7821329674852893599548986415083739132825100990119564720075903315261418748893393182498473775723879069444018130218054484973013095175524682507099717126388615062956049210986510852308284774000000000000000000",
+    "delta_positive": "1/8000000000000000000",
+    "delta_below_one_eighth": "999999999999999999/8000000000000000000",
+    "short_record_fallback": "30483048226026880435370716049981473444921078069202977044715581201455954607406488261875095417295664570675593078409269066287621729710186218844448400131702393333402578202314093006523480005040626951701536330848989473200962392100394875360258291407086535529695463598362177402585330114965091153995911085982533480542329597053236876484397768052443599470057769/30552069042394115623238228183920855987598050742654549687796497325239916987864817119134663186421402615015695821164275331925832403029393291043358270024955527589672067230416058016829237398437500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "small_field_exposure": "1/1000000000000000000",
+    "artificial_boundary": "219032549595292595228549559794958992649726711306451679741666557573544747044702436812843288946504219995956290830563562123302446240943871567686710590807722705775243150441151269868299186584479766278462427161/31285318699411574398195945660334956531300403960478258880303613261045674995573572729993895102895516277776072520872217939892052380702098730028398868505554460251824196843946043409233139096000000000000000000",
+    "literal_scalar_guard": "1",
+    "row_product_gap": "23971789/25",
+    "balanced_prefix_above_kappa": "11563903480477359063078623946477098069716006551673805618049590637491304459721449044782816102200908625947398953721177921316923384692914084140420899601782740791837635560391808047199391/6257063739882314879639189132066991306260080792095651776060722652209134999114714545998779020579103255555214504174443587978410476140419746005679773701110892050364839368789208681846627819200000000000000",
+    "coordinate_movement_above_kappa": "9968018386763629145764789526331958392519698617383992688354658653516878769891815780809481418853075579749180892191124172593537309064755444904201006744573845857613/7812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "compact_phase_layer_above_kappa": "829193709467975653662411689751579181789988399934086537810760622700338978219802265435005794003407089123778820241677239584142641961327240333553300921979976365855124404937906150836369247/977666209356611699943623301885467391603137623764945590009487914407677343611674147812309221965484883680502266277256810621626636896940585313387464640798576882869506151373313856538535596750000000000000000",
+    "bulk_exposure_above_kappa": "9968018386763629145764789526331958392519698617383992688354658653516878769891815780809481418853075579749180892191124172593537309064755444904201006744573845857613/7812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Gaussian_arithmetic_above_kappa": "7653238643050912263304130738935228503303456056614023258011638979860595085274752453533579214338969091225389888612150678830416837105151742886871041038588433260359610954898552621045248613/6257063739882314879639189132066991306260080792095651776060722652209134999114714545998779020579103255555214504174443587978410476140419746005679773701110892050364839368789208681846627819200000000000000000",
+    "scalar_work_above_kappa": "53908852564960348515618626524843620782167482263309245730210001529825812924160548632664843623142603595014985703496862364098110375876808079448554639445719396427710153196465784809842812613/31285318699411574398195945660334956531300403960478258880303613261045674995573572729993895102895516277776072520872217939892052380702098730028398868505554460251824196843946043409233139096000000000000000000",
+    "dimension_above_kappa": "6242936260117685119424714348410367756818543154381446293655283899464670618934876091492525439142345789227601598026465037968988477580758175311243610991803192090056060232993532109991007741191808047199391/6257063739882314879639189132066991306260080792095651776060722652209134999114714545998779020579103255555214504174443587978410476140419746005679773701110892050364839368789208681846627819200000000000000"
+  },
+  "outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "bootstrap": [
+    {
+      "gap": "308470266020043630733092440413542569800409/250000000000000000000000000000000000000000000000",
+      "cutoff_log2": "23645902914475"
+    },
+    {
+      "gap": "174316297647525009647921719223866383059247091728247533892121827/125000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "18511710094048210191"
+    },
+    {
+      "gap": "98505998706423507767366399591462810170538345597308220602430558780164799862096567281/62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "14492295424097387499328476"
+    },
+    {
+      "gap": "55665660136785734201744868327394179177338809495663982212393479483936352770525461293450655503612902427243/31250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "11345609108627989872964263171481"
+    },
+    {
+      "gap": "31456619486687916042131457532189693094475895368319610145009051077942541275745328069375045996893905687698404620136936209817929/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "8882157193107285626886309685367564336"
+    },
+    {
+      "gap": "17776110210473668041607480301382616007311645341346483121230108184219190518581146924420250819107808875827406462690935244555095798993255426154142387/7812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "6953590208133646077899726723895307423052960"
+    }
+  ],
+  "bit_template_sha256": "0394e2b80b0c08dbd5a643a15d8a2fa44ac6a1a4e6c59de5badd6b6d6987a3d8",
+  "complex_template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f",
+  "scope": "Finite research composition with explicit changed words, exact local and global replay and incremental phase evidence. All-size correlated dirty-bank, compressed-window, compiler, restored-work, tape/common-grid, precision and analytic interfaces remain inherited assumptions. This certificate makes no unconditional integer-multiplication or Lean-kernel claim.",
+  "candidate_sha256": "fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48",
+  "R": 746,
+  "base_source_manifest_sha256": "c903e548e42d04a243a034d320b15e6cb26b878c30f935181336ea6ea679a004",
+  "complex_source_template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f",
+  "fresh_checks": [
+    {
+      "name": "export",
+      "exit_code": 0,
+      "seconds": 0.6469573340145871,
+      "log_sha256": "b1f4902a38e3b7d5bc6c0c2981cd26fc521860254153d4a7d16dabd951c70474"
+    },
+    {
+      "name": "emitted-global",
+      "exit_code": 0,
+      "seconds": 2.7978378330008127,
+      "log_sha256": "41cc135ba82cfddae05e4fcc735fc285f1a2cff812c2c25d96c4d179389514ea"
+    },
+    {
+      "name": "independent-global",
+      "exit_code": 0,
+      "seconds": 3.0335358750307932,
+      "log_sha256": "530550d9c794506e36c1c3a80b704552690c28d94697b7de705c9444bfd3aba3"
+    },
+    {
+      "name": "two-exact-moments",
+      "exit_code": 0,
+      "seconds": 0.14627204195130616,
+      "log_sha256": "50590eb3011594c49eaabd4a8193b2fb0d7cc3e6df922143ae8ffeec5f4a9704"
+    },
+    {
+      "name": "both-invoices-outer",
+      "exit_code": 0,
+      "seconds": 0.16379179200157523,
+      "log_sha256": "d6dd9887006aa5699eb8492c6f14cbd8bf22c0c452fc2c2b111a9be89b244784"
+    }
+  ],
+  "script_hashes": {
+    "bit_audit.py": "188edd75d81d8a0299501b680c9f8db2890dc0b3798b3dc53741ab384c198198",
+    "bit_global.py": "3f161a1730c180db5d9652604908ddd97b70cff2b471d95b11b5154d05245d34",
+    "bit_price.py": "36bf15803567a95b139a908461541bf19efe1f5b85fb31c270021833ab1393ee",
+    "combined.py": "66373cd552dfc5db2727a12d333808928e09840bbdb4df8859359af7892e9fba",
+    "export_records.py": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3"
+  },
+  "all_size_claim": false
+}
diff --git a/research/early-reset-source-banks/evidence/candidate-independent.json b/research/early-reset-source-banks/evidence/candidate-independent.json
new file mode 100644
index 0000000000..7af69e27a6
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/candidate-independent.json
@@ -0,0 +1,75 @@
+{
+  "status": "PASS_EARLY_RESET_INDEPENDENT_RECORD_BANK_INVOICE_OUTER_AUDIT",
+  "bit_columns_both_orientations": 986,
+  "bit_assignments": 53712,
+  "complex_assignments": 40320,
+  "bit_profile": {
+    "1": 172872,
+    "2": 62208,
+    "3": 34200,
+    "4": 22248,
+    "5": 10944,
+    "7": 6768,
+    "8": 648,
+    "14": 3840,
+    "28": 3840,
+    "42": 3840
+  },
+  "complex_profile": {
+    "1": 142704,
+    "2": 56448,
+    "3": 12096,
+    "4": 16128,
+    "5": 28224,
+    "8": 7488,
+    "16": 3840,
+    "32": 3840,
+    "48": 3840
+  },
+  "bit_invoice": {
+    "unit_additions": 1067904,
+    "route_items": 738096,
+    "selector_calls": 1404600336,
+    "coefficient": "82161054619467903627466673362935694404222551446324515153973743276713",
+    "two_level_coefficient": "697345620266262871364032555923586120394340875592228434515672100154310091400196711454369020063307483063509359977666001075109630373576151983819240676",
+    "prefix_bits": 226,
+    "charged_prefix_bits": 256,
+    "coefficient_bits": 226,
+    "two_level_coefficient_bits": 488,
+    "charged_two_level_coefficient_bits": 512,
+    "row_coefficient": 18355,
+    "live": 14394,
+    "physical": 14403
+  },
+  "complex_invoice": {
+    "local_primitive_bound": 10106507224156,
+    "local_adapters": 389696,
+    "pervertex": 771280115394960,
+    "physical_stock_bits": 2642,
+    "router_bits": 7984,
+    "literal_bits": 35284,
+    "physical_row_coefficient": 15445,
+    "retained_row_coefficient": 20161,
+    "compiler": 25934336,
+    "G_exponent": 30000,
+    "E_exponent": 100000,
+    "C0_exponent": 210000,
+    "required_C0_bits": 200012,
+    "halving_degree": 2,
+    "halving_integer_inequality": [
+      5329,
+      4608
+    ]
+  },
+  "kappa": "1806275959707/1600000000000000",
+  "strict_constraints": 47,
+  "adjacent_grid_rejected": true,
+  "source_sha256": "c318f1020cfeb2e9e12c8922e1978ce5e136eb2fcdfd837b30b533e921dd07db",
+  "input_hashes": {
+    "/private/tmp/pr433-r746-fulladmission-v1/bit426-source-centres/records/249-records.bin": "d5eb8b381cfedb11c02bc862d579d9a7d6d1f780fa0eae68bb64ccaae3be09d0",
+    "/private/tmp/pr433-r746-fulladmission-v1/bit426-source-centres/global/GLOBAL-TEMPLATE.json.gz": "7457ac3627bf1d41344c7a1945f9b9f2e4f415a4d27130259b2a0407be370462",
+    "/private/tmp/pr433-r746-fulladmission-v1/split-centres/GLOBAL-TEMPLATE.json.gz": "a761d07a741a482ad0d2af725fa5298146635a3a2fae69e554bf0565d55d26c6",
+    "/private/tmp/pr433-r746-fulladmission-v1/RESULT.json": "1ac2bb698e5bfddde44ccb955a0cd427fe99db81c82bf1fca975bc1b2f1ec24b"
+  },
+  "scope": "Independent finite source/program accounting and exact arithmetic. Scalar primitive and phase audits separate; inherited all-size interfaces remain conditional."
+}
diff --git a/research/early-reset-source-banks/evidence/materialize_reuse.py b/research/early-reset-source-banks/evidence/materialize_reuse.py
new file mode 100644
index 0000000000..1f597a3de2
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/materialize_reuse.py
@@ -0,0 +1,83 @@
+import json,math,hashlib,sys
+from pathlib import Path
+from fractions import Fraction as Q
+from collections import Counter
+O=Path('/private/tmp/pr433-bit-retiming');base=json.loads((O/'base/bit426-source-centres/bit-source-centres.json').read_text());F=[set(f) for f in base['frames']]
+# exact dimensions from exported original root data
+L=base['lines']
+def rank(ids):
+ p={}
+ for i in ids:
+  v=list(map(Q,L[i]))
+  for j,b in sorted(p.items()):
+   if v[j]:q=v[j];v=[x-q*y for x,y in zip(v,b)]
+  j=next((j for j,x in enumerate(v) if x),None)
+  if j is not None:q=v[j];p[j]=[x/q for x in v]
+ return len(p)
+dim=list(map(rank,base['frames']))
+
+def materialize(c,z):
+ # New helper s aliases retired helper r only after an exact, explicitly billed
+ # reset at an earlier boundary. Rebuild all dirty response and inverse cleanup.
+ c=json.loads(json.dumps(c));r=z['retired_helper'];s=z['new_helper'];assert r!=s
+ c[z['reset_part']].insert(z['reset_after_gate']+1,[z['frame'],r,z['reset_donors']])
+ def alias(q):return r if q==s else q
+ for p in ('A','B'):
+  c[p]=[[f,alias(d),[alias(q) for q in ss]] for f,d,ss in c[p]]
+ physical=[q for q in range(240+c['R']) if q!=s];idx={q:j for j,q in enumerate(physical)}
+ for p in ('A','B'):
+  c[p]=[[f,idx[d],[idx[q] for q in ss]] for f,d,ss in c[p]]
+ c['R']-=1;c['start']=[c['start'][q] for q in physical];c['final']=[c['final'][q] for q in physical];c['ret']=[idx[q] for q in c['ret']]
+ c['C']=[[1,d,ss] for f,d,ss in reversed(c['A']+c['B']) if d>=240]
+ n=240+c['R'];val=[(1<<r) if r>=240 else 0 for r in range(n)]
+ def go(gs):
+  for f,d,ss in gs:
+   assert d not in ss and len(ss)==len(set(ss))
+   for s in ss:val[d]^=val[s]
+ go(c['A']);cp=[val[q] for q in c['ret']]
+ for t,ss in enumerate(c['scatter']):
+  for j in ss:val[120+t]^=cp[j]
+ go(c['B']);c['D']=[]
+ for t in range(120):
+  bits=val[120+t];ss=[j for j in range(240,n) if bits>>j&1]
+  assert bits==sum(1<<j for j in ss)
+  if ss:c['D'].append([0,120+t,ss])
+ # Every free input column and every frame incidence.
+ val=[1<<r for r in range(n)];cur=c['start'].copy();H=Counter({8:9})
+ def main(gs):
+  for f,d,ss in gs:
+   assert d not in ss and len(ss)==len(set(ss))
+   for r in [d]+ss:
+    assert F[cur[r]]<=F[f],(r,cur[r],f)
+    rank=dim[f]-dim[cur[r]]
+    if rank:H[rank]+=1
+    cur[r]=f
+   for s in ss:val[d]^=val[s]
+ main(c['D']);main(c['A']);cp=[val[q] for q in c['ret']]
+ assert all(cur[q]==1 for q in c['ret']) and all(cur[q]==0 for q in range(120,240))
+ for t,ss in enumerate(c['scatter']):
+  for j in ss:val[120+t]^=cp[j]
+ main(c['B']);main(c['C'])
+ for r,f in enumerate(c['final']):
+  assert F[cur[r]]<=F[f]
+  if dim[f]>dim[cur[r]]:H[dim[f]-dim[cur[r]]]+=1
+ want=[1<<r for r in range(n)]
+ for t in range(120):want[120+t]^=1<<t
+ assert val==want
+ return c,H
+
+if __name__=='__main__':
+ candidates=json.loads((O/'EARLY-RESET-CANDIDATES.json').read_text())['candidates'];best=None;hits=[]
+ for k,z in enumerate(candidates):
+  try:c,H=materialize(base,z)
+  except AssertionError as e:raise AssertionError((k,z,str(e)))
+  # Compare at the present accepted coarse c. Lower normalized full64 moment
+  # with the actual reduced live stock is a valid discovery objective.
+  G=Counter({r:72*n for r,n in H.items()});G.update({7:5760,14:3840,28:3840,42:3840});W=7680+9*c['R'];assert 64*W-sum(r*n for r,n in G.items())==2496
+  b=.001122122700265139;score=sum(r*n/(64*W)*(64/r)**b for r,n in G.items())+32*64*sum(G.values())/(10**16*W)*64**b
+  if best is None or score<best[0]:
+   best=(score,k,z,c,H);print('best',k,'score',score,'r',z['retired_helper'],'s',z['new_helper'],'reset',len(z['reset_donors']),'H',dict(sorted(H.items())),flush=True)
+  hits.append({'candidate':k,'score_at_old_c':score,'local_profile':dict(sorted(H.items()))})
+ score,k,z,c,H=best;blob=json.dumps(c,sort_keys=True,separators=(',',':')).encode();(O/'bit-r757.json').write_bytes(blob)
+ (O/'REUSE-BEST.json').write_text(json.dumps({'status':'ONE_EARLY_RESET_FULL_LOCAL_PASS_NOT_GLOBAL_ADMITTED','candidate':k,'selection':z,'candidate_sha256':hashlib.sha256(blob).hexdigest(),'local_profile':dict(sorted(H.items())),'score_at_old_c':score,'searched':len(hits)},indent=2)+'\n')
+ (O/'REUSE-ALL-LOCAL.json').write_text(json.dumps(hits)+'\n')
diff --git a/research/early-reset-source-banks/evidence/parent-independent.json b/research/early-reset-source-banks/evidence/parent-independent.json
new file mode 100644
index 0000000000..debe46a27a
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/parent-independent.json
@@ -0,0 +1,70 @@
+{
+  "status": "PASS_PR433_INDEPENDENT_RECORD_BANK_INVOICE_OUTER_AUDIT",
+  "bit_columns_both_orientations": 998,
+  "bit_assignments": 54576,
+  "complex_assignments": 40320,
+  "bit_profile": {
+    "1": 170424,
+    "2": 63000,
+    "3": 34200,
+    "4": 23112,
+    "5": 11808,
+    "7": 6768,
+    "8": 648,
+    "14": 3840,
+    "28": 3840,
+    "42": 3840
+  },
+  "complex_profile": {
+    "1": 142704,
+    "2": 56448,
+    "3": 12096,
+    "4": 16128,
+    "5": 28224,
+    "8": 7488,
+    "16": 3840,
+    "32": 3840,
+    "48": 3840
+  },
+  "bit_invoice": {
+    "prefix_bits": 223,
+    "charged_prefix_bits": 256,
+    "coefficient_bits": 223,
+    "two_level_coefficient_bits": 483,
+    "charged_two_level_coefficient_bits": 512,
+    "row_coefficient": 18355,
+    "live": 14502,
+    "physical": 14511
+  },
+  "complex_invoice": {
+    "local_primitive_bound": 10106507224156,
+    "local_adapters": 389696,
+    "pervertex": 771280115394960,
+    "physical_stock_bits": 2642,
+    "router_bits": 7984,
+    "literal_bits": 35284,
+    "physical_row_coefficient": 15445,
+    "retained_row_coefficient": 20161,
+    "compiler": 25934336,
+    "G_exponent": 30000,
+    "E_exponent": 100000,
+    "C0_exponent": 210000,
+    "required_C0_bits": 200012,
+    "halving_degree": 2,
+    "halving_integer_inequality": [
+      5329,
+      4608
+    ]
+  },
+  "kappa": "560432476129139/500000000000000000",
+  "strict_constraints": 47,
+  "adjacent_grid_rejected": true,
+  "source_sha256": "c0d83cb36def807af995bb4b62eec51aeedec98817b63d36484c0a35dbd1387d",
+  "input_hashes": {
+    "/private/tmp/pr433-source-search-full314/bit426-source-centres/records/249-records.bin": "fcc06bc2315d8da0468334c19716eea65bad38945f342635d999901a82d81816",
+    "/private/tmp/pr433-source-search-full314/bit426-source-centres/global/GLOBAL-TEMPLATE.json.gz": "e7882a18ed53e85f4a511a9d3d3502e4484b7e1b2e09f4f9d9a90466838708d0",
+    "/private/tmp/pr433-source-search-full314/split-centres/GLOBAL-TEMPLATE.json.gz": "a761d07a741a482ad0d2af725fa5298146635a3a2fae69e554bf0565d55d26c6",
+    "/private/tmp/pr433-source-search-full314/RESULT.json": "0ba447d6de6edd9fbe2371c36e3605dffa0c6526a874cfcb9bd19285c056bf1e"
+  },
+  "scope": "Independent finite source/program accounting and exact arithmetic. Scalar primitive and phase audits separate; inherited all-size interfaces remain conditional."
+}
diff --git a/research/early-reset-source-banks/evidence/parent-literal.json b/research/early-reset-source-banks/evidence/parent-literal.json
new file mode 100644
index 0000000000..af372719d1
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/parent-literal.json
@@ -0,0 +1,161 @@
+{
+  "status": "PASS_ALL_ACTUAL_LITERAL_SCALAR_PRIMITIVES",
+  "checks": {
+    "forward": {
+      "all_independent_live_columns": 800,
+      "arbitrary_coefficient_and_center_initial_columns": 17,
+      "scalar_macros": 19744,
+      "real_component_literal_primitives": 222204,
+      "all_scratch_cleared": true,
+      "endpoint": "forward Y+=X"
+    },
+    "backward": {
+      "all_independent_live_columns": 800,
+      "arbitrary_coefficient_and_center_initial_columns": 17,
+      "scalar_macros": 19744,
+      "real_component_literal_primitives": 222300,
+      "all_scratch_cleared": true,
+      "endpoint": "backward X-=Y"
+    }
+  },
+  "coefficient_inventory": [
+    {
+      "kind": "add",
+      "coefficient": "-1",
+      "count": 4864
+    },
+    {
+      "kind": "add",
+      "coefficient": "-1/2",
+      "count": 3356
+    },
+    {
+      "kind": "add",
+      "coefficient": "-1/4",
+      "count": 6332
+    },
+    {
+      "kind": "add",
+      "coefficient": "-1/8",
+      "count": 2726
+    },
+    {
+      "kind": "add",
+      "coefficient": "-11/8",
+      "count": 38
+    },
+    {
+      "kind": "add",
+      "coefficient": "-2",
+      "count": 276
+    },
+    {
+      "kind": "add",
+      "coefficient": "-3/4",
+      "count": 24
+    },
+    {
+      "kind": "add",
+      "coefficient": "-3/8",
+      "count": 878
+    },
+    {
+      "kind": "add",
+      "coefficient": "-5/8",
+      "count": 424
+    },
+    {
+      "kind": "add",
+      "coefficient": "-7/8",
+      "count": 152
+    },
+    {
+      "kind": "add",
+      "coefficient": "-9/8",
+      "count": 46
+    },
+    {
+      "kind": "add",
+      "coefficient": "1",
+      "count": 4864
+    },
+    {
+      "kind": "add",
+      "coefficient": "1/2",
+      "count": 3356
+    },
+    {
+      "kind": "add",
+      "coefficient": "1/4",
+      "count": 6556
+    },
+    {
+      "kind": "add",
+      "coefficient": "1/8",
+      "count": 2726
+    },
+    {
+      "kind": "add",
+      "coefficient": "11/8",
+      "count": 38
+    },
+    {
+      "kind": "add",
+      "coefficient": "2",
+      "count": 276
+    },
+    {
+      "kind": "add",
+      "coefficient": "3/4",
+      "count": 24
+    },
+    {
+      "kind": "add",
+      "coefficient": "3/8",
+      "count": 878
+    },
+    {
+      "kind": "add",
+      "coefficient": "5/8",
+      "count": 424
+    },
+    {
+      "kind": "add",
+      "coefficient": "7/8",
+      "count": 152
+    },
+    {
+      "kind": "add",
+      "coefficient": "9/8",
+      "count": 46
+    },
+    {
+      "kind": "scale",
+      "coefficient": "-1",
+      "count": 392
+    },
+    {
+      "kind": "scale",
+      "coefficient": "-1/2",
+      "count": 224
+    },
+    {
+      "kind": "scale",
+      "coefficient": "-2",
+      "count": 224
+    },
+    {
+      "kind": "scale",
+      "coefficient": "1/4",
+      "count": 56
+    },
+    {
+      "kind": "scale",
+      "coefficient": "4",
+      "count": 56
+    }
+  ],
+  "canonical_word_sha256": "79ff8e19335d5d5d1563ef0bc218106945d6a2b88ece53ee24bb3d88b2594ba3",
+  "local_programs_sha256": "e1b483423ec93c47c80d21a01d92591f3856d1ec68da231372ec2bc29f7e8fd8",
+  "scope": "Every actual scalar macro is lowered to clear,copy,unit signed add,double,halve or negate and replayed against 800 live and seventeen initially dirty private columns. All scratch is cleared and the literal counts equal the invoice."
+}
diff --git a/research/early-reset-source-banks/evidence/parent-reflected.json b/research/early-reset-source-banks/evidence/parent-reflected.json
new file mode 100644
index 0000000000..583c838a56
--- /dev/null
+++ b/research/early-reset-source-banks/evidence/parent-reflected.json
@@ -0,0 +1,44 @@
+{
+  "status": "PASS_SPLIT433_TARGETED_REFLECTED_LEDGER_MUTATIONS",
+  "base_ir_replay_observed_exit": 0,
+  "local_base_checks": {
+    "forward": {
+      "all_exact_columns": 800,
+      "prefix_l1_upper": "32209",
+      "prefix_bits_upper": 15,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    },
+    "backward": {
+      "all_exact_columns": 800,
+      "prefix_l1_upper": "1039185",
+      "prefix_bits_upper": 20,
+      "charged_payload_bits": 192,
+      "private_work_erased": true
+    }
+  },
+  "controls": [
+    "backward_common_frame_changed",
+    "backward_cleanup_event_removed",
+    "backward_cleanup_reversed",
+    "backward_center_before_final_gather",
+    "backward_dirty_compensation_omitted",
+    "backward_bank_owner_right_factor_changed",
+    "bank_padding_omitted_from_execution_schedule",
+    "physical_private_namespace_alias",
+    "backward_program_owner_binding_wrong"
+  ],
+  "global_profile": {
+    "1": 142704,
+    "3": 12096,
+    "4": 16128,
+    "2": 56448,
+    "5": 28224,
+    "8": 7488,
+    "16": 3840,
+    "32": 3840,
+    "48": 3840
+  },
+  "template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f",
+  "scope": "Finite reflected event and physical owner/padding controls; uses PR433 complex_replay interpreter, with independent literal primitive interpreter in separate receipt."
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/.gitattributes b/research/early-reset-source-banks/vendor/pr433/.gitattributes
new file mode 100644
index 0000000000..a251e913f2
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/.gitattributes
@@ -0,0 +1,6 @@
+# Hashes bind exact imported and generated bytes.
+* -text
+vendor/** -whitespace
+inputs/** -whitespace
+notices/** -whitespace
+proofs/** -whitespace
diff --git a/research/early-reset-source-banks/vendor/pr433/CERTIFICATE.json b/research/early-reset-source-banks/vendor/pr433/CERTIFICATE.json
new file mode 100644
index 0000000000..7e807079c1
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/CERTIFICATE.json
@@ -0,0 +1,119 @@
+{
+  "status": "PASS_CONDITIONAL_SPLIT_CENTRE_ASSEMBLY",
+  "kappa": "560432476129139/500000000000000000",
+  "kappa_decimal": "0.001120864952258278",
+  "bit_lower": "561061350132569610283/500000000000000000000000",
+  "complex_lower": "1183986549206329/1000000000000000000",
+  "binding_component": "bit",
+  "gain_over_pr425_percent": 6.9522005058117555,
+  "bit_invoice": {
+    "prefix_bits": 223,
+    "charged_prefix_bits": 256,
+    "coefficient_bits": 223,
+    "two_level_coefficient_bits": 483,
+    "charged_two_level_coefficient_bits": 512,
+    "row_coefficient": 18355,
+    "live": 14502,
+    "physical": 14511
+  },
+  "strict_outer_constraints": {
+    "bit_positive": "14363170563393781995540516430294897054798660372747977408982986647014886397057213204999835240182750048003850764774138423033492369699369310106183121233447528983183/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "complex_above_bit": "791857266447229204459483569705102945201339627252022591017013352985113602942786795000164759817249951996149235225861576966507630300630689893816878766552471016817/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "complex_below_one_over32": "30066013450793671/1000000000000000000",
+    "beta_positive": "1/1000000000000000000",
+    "beta_below_one": "999999999999999999/1000000000000000000",
+    "leaf_saving_above_bit": "791857266447229189304455739864091745201339627252022591017013352985113602942786795000164759817249951996149235225861576966507630300630689893816878766552471016817/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "q_positive": "7181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "q_below_internal": "14363170563393781995540516430294897054798660372747977408982986647014886397057213204999835240182750048003850764774138423033492369699369310106183121233447528983183/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "q_below_leaf": "395928633223614609015398433325827868141186243920908350307167049240534210454380044514968776965838180997909857795680836487104579924453767980400809082645545614591621233447528983183/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "c_positive": "7181585281696892583407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "c_below_one": "6392818414718303107416592912348246333468141186243920908350307167049240534210454380044514968776965838180997909857795680836487104579924453767980400809082645545614591621233447528983183/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "q_below_reservations": "1/4000000000000000000",
+    "lambda_above_tau": "14363170563393781995540516430294897054798660372747977408982986647014886397057213204999835240182750048003850764774138423033492369699369310106183121233447528983183/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "lambda_above_sigma": "791857266447229218822654133098884940741856057546919645815673725733091011925773442015051156874463156995984475408611624970358395074769112927309248465921781123000121233447528983183/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "lambda_above_internal": "14363170563393781995540516430294897054798660372747977408982986647014886397057213204999835240182750048003850764774138423033492369699369310106183121233447528983183/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "lambda_prime_above_lambda": "14363170563393781995540516430294897054798660372747977408982986647014886397057213204999835240182750048003850764774138423033492369699369310106183121233447528983183/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "compact_leaf": "395928633223614609015398433325827868141186243920908350307167049240534210454380044514968776965838180997909857795680836487104579924453767980400809082645545614591621233447528983183/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "compact_reservations": "1/4000000000000000000",
+    "lambda_prime_below_one": "7181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "epsilon_positive": "6399999999999999993600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817",
+    "epsilon_below_one": "7181585281696897383407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817",
+    "guard_width": "7181585281696897383407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817",
+    "K_geometry": "4807181585281696892583407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817000000000000000000",
+    "K_dominates_log": "231664041345061050845983947421186256401668584010497584446258683699366907737186677571792433338340060113453513521617978855187267028104098984087218414251878140832554446748323117142213588175726741393/206683276944570867451077647988766247307479316572776744891925575256476111799662761934047904233001101994161357746522719973016545013550824072000632231965075950141464786411824273258607000000000000000000",
+    "record_suffix": "7181585281696897383407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817",
+    "phase_local": "57452682253575172660075115932332441271463422396879066665683849849996634666672126693120783994727674596531689914600391489101073218400050692643898107263289403063667839215065313749127621233447528983183/51257452682253575127867256701214029332254870510048632733197542663606075726316364959643880249784273294552016721137634553308103163360604369856156793527338835635083267030132419768134536000000000000000000",
+    "phase_boundary": "11490536450715029406269754961108975467567014357972880107649718965136053613580158978016584167309038954918313004492748842618542529916554807718463285392220894997054215109129499241498821233447528983183/10251490536450715025573451340242805866450974102009726546639508532721215145263272991928776049956854658910403344227526910661620632672120873971231358705467767127016653406026483953626907200000000000000000",
+    "gamma_sublinear": "1/2000000000000000000",
+    "cell_above_band": "12799999999999999980792818414718303109016592912348246333468141186243920908350307167049240534210454380044514968776965838180997909857795680836487104579924453767980400809082645545614591621233447528983183/25628726341126787563933628350607014666127435255024316366598771331803037863158182479821940124892136647276008360568817276654051581680302184928078396763669417817541633515066209884067268000000000000000000",
+    "prime_interval_packing": "7181585281696897383407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817/6407181585281696890983407087651753666531858813756079091649692832950759465789545619955485031223034161819002090142204319163512895420075546232019599190917354454385408378766552471016817",
+    "alpha_positive": "14363170563393788359632590021810442080310539860404516767526852145439839929398406960210596656522703682519149061374476508023700697946773300526302961759162676751217566615750487648225621233447528983183/12814363170563393781966814175303507333063717627512158183299385665901518931579091239910970062446068323638004180284408638327025790840151092464039198381834708908770816757533104942033634000000000000000000",
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+  },
+  "outer_controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "bootstrap": [
+    {
+      "gap": "48640105104416009930955104551272628756769/40000000000000000000000000000000000000000000000",
+      "cutoff_log2": "24346328299693"
+    },
+    {
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+      "cutoff_log2": "19335382939135799529"
+    },
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+      "cutoff_log2": "15355787073969246541017124"
+    },
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+      "cutoff_log2": "12195269025875323655994833423982"
+    },
+    {
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+      "cutoff_log2": "9685246734476302780854842486398253310"
+    },
+    {
+      "gap": "27691483569705102945201339627252022591017013352985113602942786795000164759817249951996149235225861576966507630300630689893816878766552471016817/12800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+      "cutoff_log2": "7691835588756193183914168151850588989363719"
+    }
+  ],
+  "bit_template_sha256": "c40f89a2ae3c2c5635ddf8f18d74f24567ddf67fc8c8e93a1fc7a1a8098e857e",
+  "complex_template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f",
+  "scope": "Finite research composition with explicit changed words, exact local and global replay and incremental phase evidence. All-size correlated dirty-bank, compressed-window, compiler, restored-work, tape/common-grid, precision and analytic interfaces remain inherited assumptions. This certificate makes no unconditional integer-multiplication or Lean-kernel claim.",
+  "verification_steps": [
+    "hamming_packets",
+    "complex_construct",
+    "complex_audit",
+    "complex_emit",
+    "complex_phases",
+    "bit_construct",
+    "bit_export",
+    "bit_global",
+    "bit_audit",
+    "bit_price",
+    "complex_integrate",
+    "complex_replay",
+    "combined"
+  ],
+  "phase_mode": "source-bound unchanged evidence"
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/EXPECTED.json b/research/early-reset-source-banks/vendor/pr433/EXPECTED.json
new file mode 100644
index 0000000000..de7c122419
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/EXPECTED.json
@@ -0,0 +1,9 @@
+{
+  "kappa": "560432476129139/500000000000000000",
+  "kappa_decimal": "0.001120864952258278",
+  "bit_lower": "561061350132569610283/500000000000000000000000",
+  "complex_lower": "1183986549206329/1000000000000000000",
+  "binding_component": "bit",
+  "bit_template_sha256": "c40f89a2ae3c2c5635ddf8f18d74f24567ddf67fc8c8e93a1fc7a1a8098e857e",
+  "complex_template_sha256": "942d030fa43316c560c88d7d7d904583446e1a96945b3ebd37a91c88a192ab4f"
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/LICENSE b/research/early-reset-source-banks/vendor/pr433/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
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+   4. Redistribution. You may reproduce and distribute copies of the
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+      meet the following conditions:
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+      (a) You must give any other recipients of the Work or
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+
+      (b) You must cause any modified files to carry prominent notices
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+          of the NOTICE file are for informational purposes only and
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+          notices within Derivative Works that You distribute, alongside
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+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
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+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
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+   7. Disclaimer of Warranty. Unless required by applicable law or
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+      Contributor provides its Contributions) on an "AS IS" BASIS,
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+      unless required by applicable law (such as deliberate and grossly
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+      on Your own behalf and on Your sole responsibility, not on behalf
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diff --git a/research/early-reset-source-banks/vendor/pr433/MANIFEST.json b/research/early-reset-source-banks/vendor/pr433/MANIFEST.json
new file mode 100644
index 0000000000..9d9aa15308
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/MANIFEST.json
@@ -0,0 +1,51 @@
+{
+  "format": "split-centres-global-manifest/1",
+  "files": {
+    ".gitattributes": "2f9541c7c27f084baad73b4cd50ddaeb264cc3aa8dbf13ec21df5ab3f673ca7e",
+    "CERTIFICATE.json": "f71580f22193726fb582eae604807ff70a7302265e001d9484a718e63bbe14c4",
+    "EXPECTED.json": "9b8e56eee3d5bdabd2e3e6e4ba0d9eba537525fba25a54126f9f0e41d2491a06",
+    "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+    "NOTICE.md": "66101a9e74d0ba9c2da4c8802bcb1968534adfa7130b954628eb8bf515fc0389",
+    "PROOF.md": "6983e75f29af6eeaab20a30b08307ec6fab75ccb8b10291df8f9eb04d497f894",
+    "README.md": "b432292594adf2fcba2a8ddd87eda6167c76ff055e85aa5e3e2af7dd7e0f976e",
+    "SOURCES.json": "11aa666d678fed084b01d1e8e47239e1674eaedbc6fe0cee7edb2753477af9be",
+    "VALIDATION.json": "4957420a5a988e045537e31f79da7f8d35592185d45802c0ff4adfd0d97a772e",
+    "code/bit_audit.py": "7fdbc077b7501a53662769ff2bf2ab44cc2e32dafc34478d7ef2c10e3144503a",
+    "code/bit_construct.py": "a461e6c983531beb5c8ac82ff593f39ce4e056387d1d6061f6e6b294dde4395f",
+    "code/bit_global.py": "3b2cb3ba21e5cf9b4deddb9e606322f33e9d8082020c0ee9092c21f4ebd9ad48",
+    "code/bit_price.py": "36bf15803567a95b139a908461541bf19efe1f5b85fb31c270021833ab1393ee",
+    "code/combined.py": "9c5bc70f2331b7342ceb252adcddb993581c45f80c37bcc58642dbad3b9775c2",
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+    "code/complex_construct.py": "0f7f45b2333ec7daf4291e2bf675b49bc330b97fb5965dd27220ba353c291d6f",
+    "code/complex_emit.py": "f56d5f01f7c121741f175814138dca7190d769920f0a27e2d5b99c21aebed0f1",
+    "code/complex_integrate.py": "3792f41e409383e6989bda22801a4836a646a530f99e99bbd7244a8f3a1a8b4f",
+    "code/complex_phases.py": "3e2a52198475ee280a314895ab74df8437e3c0de0cad2d90baa370aa2a52c364",
+    "code/complex_phases_full.py": "0f2795aaffafe0c64d77f3748ef2109a3c42c58da867e4cf269a0a8cb6109466",
+    "code/complex_replay.py": "be2dccce2d1ad2c4f5c01a851c9c3896cc88236b5aeae706aad2ab16d6bfdad9",
+    "inputs/bit-geometry.json.gz": "5c980202227859e8bb9b863f94503930c2a59d460c0421356688e2b0d828b4a1",
+    "inputs/bit-r767.json.gz": "bd3b84244528767b85d8d7fe423b155630b5c659e21e51563674b1dcb6305ad7",
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+    "inputs/complex-phase-receipt.json": "b7e9de8137ed1de3e72a94c3a11525a8ff3770c914a43e3c3b82fd5d75264b32",
+    "inputs/complex-phase-recipes.json.gz": "b5472bb1d3f9ff41b0819780a42886a7686b4caf3c0617bb1dc86158b3fb8671",
+    "inputs/complex-ports.json.gz": "77b0c0fa19ef3da1c7316010e13493aa5eea1a50c3506eddc08f7480e659878b",
+    "inputs/complex-template.json.gz": "1b84904a31a733aab9bfdda3f528c06719f590d2133a43687a8bded955dc991e",
+    "inputs/e8-r865.json.gz": "1fb726ea3818fe0837cceb0dd22a71a0814f064e5e781628104610d6468e0e55",
+    "notices/NOTICE-PR352.md": "967e6d7e76e216e4898cf543c75b527e8d397ec1ddba3800cb20701f24c89524",
+    "notices/NOTICE.md": "025773f32fb43667395e64c627a1752877bdc93afbfe01b106703eee438d21d3",
+    "notices/PR386.txt": "ae2241615a23063b18a04f1b7a88a52e62b3d7d42e333fbd21e3668567ab83d1",
+    "notices/PR426-SOURCE-PINS.json": "18ace817f2f9af22511bb303e99656ed114e534b87f3dd95a65ca4ca670baf2f",
+    "notices/PR426.md": "6a5593d0f284a2f0865037f5c5fa9e5f76f9e12cf50ec5284486d3b8137c89da",
+    "notices/SUSSMAN-NOTICE": "9419dd03a2f52cf8bdfc4d18216ce29f263ab583b27f01ced8e420985bcb7c81",
+    "proofs/INHERITED-COMPLEX-GEOMETRY.txt": "c1ff55536594222a8d2a30bc0e0956959774e1be2d5420b7838ad553ee556df2",
+    "proofs/PR386-BIT-GEOMETRY.txt": "c5f077b849e9add9957ab4ee36095dd47bc678dee7e09baa146dac4c0a0d66b2",
+    "proofs/PR425-COMPLEX.txt": "2cda27b9b9a1eb24127c38c2c7a6e085155a2472183e220189a3ea2c2b7720dc",
+    "proofs/PR426.md": "5787738ceb6faf14d3d96e8452592860a6c6a469733a9bcf196e8d1562ba1ffb",
+    "vendor/clifford_exact.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962",
+    "vendor/engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "vendor/engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "vendor/engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c",
+    "vendor/export_records.py": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3",
+    "vendor/hamming_packets.py": "daa9301e2767a711cfe66c6bebaad68e1a3bdb97ec9e848c927527ab43b37ae5",
+    "verify.py": "257c93d015e39713c2cbf7137cf54ae3b844eb7ee756b5377b7f00baba611cdf"
+  }
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/NOTICE.md b/research/early-reset-source-banks/vendor/pr433/NOTICE.md
new file mode 100644
index 0000000000..b7daf8de49
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/NOTICE.md
@@ -0,0 +1,41 @@
+# Attribution
+
+Copyright 2026 icekylinx. New split-centre cancellation, reversible source-centre
+composition, integration and verification changes were prepared by icekylinx
+with substantial OpenAI Codex assistance. Apache-2.0 applies to these changes.
+Earlier private Pro exploration used GPT-6 Astra; the new construction and
+composition in this package were developed with Codex.
+
+## Direct sources
+
+- Zhihao Chen, with OpenAI Codex assistance: PR425's mutable-basis Hamming packet
+  producer, common-frame scalar interface, exact phase lowering and verification;
+  PR386's compressed nine-stage bit geometry, owner template, audit and finite
+  accounting. These supply the immediate complex and geometric baselines.
+- ai-nanachi, with OpenAI Codex assistance: PR426's R767 bit word, including 55
+  clean-reset helper reuses and 54 frame changes. The complete selected word is
+  imported unchanged before the nine source-centre replacements.
+- Dylan Crow (utcorvusvolat-dotcom), with Anthropic Claude assistance: PR370's
+  Hamming E8 bit producer, root table, record exporter and local format.
+- Jacob Sussman: the E8 family, complex unit and underlying interchange framework.
+- applecrusher, Dugongue, eumemic, Rohan Arun, Chafik Boukhalfa, DaysSky,
+  DreamingOfClouds, Henry Grant, Evan McKinney, LJH-217 and other contributors:
+  the source, frame, compiler, rational-pricing and analytic lineage detailed
+  in the preserved original notices.
+
+The current value is computed from the two actual resulting programs.
+Independently published improvements are not added numerically. `SOURCES.json`
+records original commits and file hashes; `notices/` preserves source notices.
+Files under `proofs/` describe their original packages and retain their original
+scope and attribution; the current statement is in `PROOF.md`.
+
+## Earlier contributions by icekylinx
+
+The earlier #10, #18, #24, #32 and #36 contributions developed projector batching,
+partial-swap frames, endpoint gauges and conditional analytic/tape integration.
+The subsequent #104, #115, #130 and #144 contributions covered stopped-product
+integration, partial gauges, three-stage covers and paired-cube/source chronology.
+These provide historical context, not additional savings in this ledger. The
+source-centre idea from the preceding local round is used here on PR426's bit
+word. Unselected research experiments and superseded submission candidates are
+not part of this package.
diff --git a/research/early-reset-source-banks/vendor/pr433/PROOF.md b/research/early-reset-source-banks/vendor/pr433/PROOF.md
new file mode 100644
index 0000000000..8366a89e36
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/PROOF.md
@@ -0,0 +1,184 @@
+# Split centres and a joint conditional exponent
+
+The finite construction gives
+
+$$
+T(n)=O\!\left(n(\log n)^{1-\kappa}\right),
+\qquad \kappa=0.001120864952258278,
+$$
+
+conditional on the retained all-size compiler, compressed-window, correlated
+bank-dirt, restored-work, fixed-tape/common-grid, precision and analytic
+interfaces. The changes below concern both finite suppliers. Original source
+proofs and notices are retained; they do not replace the changed checks.
+
+## 1. Cancel coordinate terms before lifting the complex decoder
+
+Partition the 120 Hamming E8 root lines into the 112 code lines C and the eight
+coordinate lines F, represented by 2e_i. Write r_s for a root representative and
+G_ts = r_t · r_s / 2. The parent decoder is the rank-eight centre factorization
+G/2 together with its negative off-diagonal entries.
+
+For each code target t, the coordinate-source centre contribution is
+r_ti x_(2e_i)/2. Its side contribution is its negative. Cancel this pair before
+constructing the lifted program. For code targets retain only
+
+$$
+Z_i=\sum_{s\in C}r_{si}x_s,
+\qquad
+\sum_i\frac{r_{ti}}4Z_i
+-\sum_{\substack{s\in C\\s\ne t}}\frac{G_{ts}}2x_s=x_t.
+$$
+
+For coordinate targets, implement the identity x_(2e_i) directly. Thus the
+entire 120-by-120 clean decoder is still the identity, including both cross
+blocks between C and F.
+
+In the parent's binary address realization,
+
+$$
+p_s\cdot p_t=1+G_{st}\pmod2.
+$$
+
+Every code source contributing to Z_i is orthogonal to p_(2e_i), because its
+ith root coordinate is ±1. The already constructed global sum Z_i lies in that
+rank-eight hyperplane. Copy it there, lower the private copy to frame zero with
+one rank-eight child, and scatter into the code targets. The eight coordinate
+identities copy their source lines with one rank-one child each. Each private
+copy has a sequential lifetime, and is erased before the next episode.
+
+The total copied rank is unchanged:
+
+$$
+8\cdot8+8\cdot1=72.
+$$
+
+The 112 coordinate-source helpers and eight dedicated full-centre helpers are
+removed. Own-block corrections use their original source-copy rows directly;
+all remaining signed packets and selected target butterflies are retained.
+The actual helper count is 560. No rank-four recovered row is substituted for
+a rank-three input.
+
+## 2. Arbitrary dirt and heterogeneous copy frames
+
+The explicit main word has block form z' = Uz and y' = Vy + x + Ks, where
+z=(x,s), and U,V are invertible. No target feeds z. At the common initial frame,
+apply V^-1 to the target basis and the literal correction -V^-1 Ks. Recompute K
+from the new word. After all main gates and final climbs, apply the literal
+inverse of the source/helper subword at the common full frame. This restores
+all sources and arbitrary helpers while adding x to y.
+
+The parent common-frame proof applies to each copy separately. A private copy
+created at label L(F) is lowered by the exact operator L(0)L(F)^-1, whether F
+has rank one or eight. Scalar operations occur only at equal labels. Adding
+the common exterior window to both labels cancels it exactly. The proof
+therefore does not require a full-frame centre, or infer an operator from rank
+alone. The inverse-transpose negates/transposes each scalar shear in the same
+order and reverses each private gather/child/scatter operation as emitted.
+
+Both scalar orientations and the serialized private-work programs replay all
+800 input columns. Both restore arbitrary source/helper inputs and erase private
+work. The changed exact Gaussian recipes include the heterogeneous centre
+transitions and their global phases. Of 2,918 selected directed pairs, 248 were
+newly computed; 2,670 were unchanged source-bound exact pairs already checked in
+the local phase run. The release optionally replays all selected pairs.
+
+The local paid profile is
+
+$$
+\{1:1912,\ 2:784,\ 3:168,\ 4:224,\ 5:392,\ 8:24\}.
+$$
+
+The compressed complex geometry uses m=73, eight replicas and nine stages.
+There are 560 banks per stage, each holding eight whole rank-nine residuals and
+one paid rank-one pad. Live width is 12,720; physical stock is 13,298, including
+16 centre slots, the conservative 560-row tableau reserve and two coefficient
+streams. The global rank deficit is 2,496. Explicit owner tables, padding,
+terminal translations and the cover correction are independently decoded.
+The largest child is 48; 73² > 2·48² gives two-level halving.
+
+The fresh invoice fits the retained 2^30000 router, 2^100000 literal and 2^210000
+precision reserves. Two exact rational engines certify
+
+$$
+b=0.001183986549206329.
+$$
+
+## 3. Source-centre bit composition
+
+Start with the exact R767 word from PR426. Its nine retained rows are written
+only by original sources at the full frame and are not read by ordinary A/B
+gates. Their nine independent binary forms have an invertible minor in source
+columns 0,1,2,4,8,9,16,32,64.
+
+Replace those rows of the 120-dimensional identity by the nine retained forms.
+Exact elimination produces an invertible source basis T, emitted as 559 XOR
+additions. Delete the nine retained helper rows and their old-dirt columns.
+After A apply T, perform the same nine sequential copies using the designated
+source rows, and immediately apply T^-1 before B. The copies have unchanged
+rank eight. All scalar operations of T and its inverse use the full frame.
+
+All 998 columns, arbitrary dirt, frame incidences and restoration pass. Omitting
+T^-1 or the remaining old-dirt correction fails. The actual exported record
+stream is reflected in reverse order with complementary frames. A reflected
+ERASE becomes a fresh COPY at that chronological point; the original source
+row remains unchanged within each copy episode. Both reflected programs and
+all nine composed invocations are replayed, rather than assuming that mutable
+source rows meet an old immutability restriction.
+
+Use the unchanged compressed bit windows in dimension 64: a local eight-space
+and eight exterior seven-spaces. The root data, rational frame family, form,
+port isometries and bank slots are source-bound to PR386. Every changed nested
+pair is checked by exact rational spans; positive definiteness gives the
+projector identity and its reflected version. There are 758 banks per stage,
+each filled by eight rank-eight residuals, with no padding. Live width is 14,502
+and physical stock is 14,511. All 54,576 owner assignments are checked. The
+unbanked global replay restores all 7,782 independent columns.
+
+The bit local profile is
+
+$$
+\{1:2367,\ 2:875,\ 3:475,\ 4:321,\ 5:164,\ 7:14,\ 8:9\}.
+$$
+
+Its global deficit is again 2,496. The maximum child is 42 and 64² > 2·42².
+The actual cancellation-free prefix bound needs 223 bits; the new charge is
+256 bits, replacing the parent's 192-bit allowance. The finite two-level
+coefficient needs 483 bits and fits the retained 2^512 allowance. The row
+coefficient is 18,355 < 20,161. These costs, including the basis operations,
+are recomputed from the emitted word. Two exact rational moment engines give
+
+$$
+c=0.001122122700265139220566.
+$$
+
+## 4. Joint strict assembly
+
+Both moments include the inherited 10^-16 bad-branch allowance. The bit supplier
+binds because c < b. Let eta=beta=10^-18 and
+
+$$
+s=\min\{c,(1-\beta)b\}-10^{-24}.
+$$
+
+Starting at a_0=384599/10^10, use six fixed ordinary bootstrap levels
+
+$$
+a_{j+1}=(1-s)s+sa_j.
+$$
+
+All bootstrap cutoff inequalities are checked with the actual charged finite
+coefficient. With q=a_6(1-2eta), choose the greatest 10^-18 grid point strictly
+below (1-eta)q/(1+q). It is
+
+$$
+\kappa=\frac{560432476129139}{500000000000000000}
+       =0.001120864952258278.
+$$
+
+All 47 retained strict outer inequalities pass. The next grid point, zero eta,
+zero beta and unit beta are rejected. The candidate is computed from both
+actual new templates; no independently reported savings are added together.
+
+The source-bound finite claims above do not discharge the inherited all-size
+interfaces or establish unconditional integer-multiplication complexity.
diff --git a/research/early-reset-source-banks/vendor/pr433/README.md b/research/early-reset-source-banks/vendor/pr433/README.md
new file mode 100644
index 0000000000..1e31463921
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/README.md
@@ -0,0 +1,56 @@
+# Conditional κ = 0.001120864952258278
+
+This package combines a split-centre Hamming complex construction with a
+source-centre bit construction in compressed nine-stage windows. The resulting
+conditional exponent saving is
+
+$$
+\kappa=\frac{560432476129139}{500000000000000000}
+       =0.001120864952258278.
+$$
+
+This is approximately **6.9522% above PR425**. Both components change:
+
+| Component | Helpers | Ambient width | Certified saving |
+|---|---:|---:|---:|
+| Complex | 560 | 73 | 0.001183986549206329 |
+| Bit | 758 | 64 | 0.001122122700265139220566 |
+
+The bit component limits the final assembly. The complex construction removes
+coordinate contributions that cancel in the decoder, replacing eight full
+centres with eight rank-eight and eight rank-one copies. The bit construction
+starts from PR426's R767 word, computes its nine retained forms reversibly in
+source rows, and uses PR386's compressed windows.
+
+## Verification
+
+Python 3.11+ and its standard library suffice. Use a new output directory:
+
+```sh
+python3 -B research/split-centres-global/verify.py /tmp/split-centres-check
+```
+
+The default replays both changed words, reflected/inverse-transpose programs,
+bank ownership, costs, two rational moment engines and 47 strict outer
+inequalities. Exact complex phase evidence is reused only when the regenerated
+canonical word and complete recipe hashes match. To regenerate every selected
+Gaussian phase pair as well:
+
+```sh
+python3 -B research/split-centres-global/verify.py /tmp/split-centres-full-phases --replay-phases
+```
+
+The unchanged historical repository suite and PDF build are not required by
+this package. `EXPECTED.json` binds the result to both emitted global templates;
+`MANIFEST.json` binds the package files; `SOURCES.json` pins imported sources.
+
+## Scope
+
+[PROOF.md](PROOF.md) supplies the changed finite construction. The all-size
+compressed-window and correlated dirty-bank semantics, recursive compiler,
+restored-work/tape/common-grid precision, and analytic transfer interfaces remain
+conditional. This does not claim unchanged legacy gx/gxcore acceptance, a new
+Lean proof, or an unconditional multiplication theorem.
+
+Contributor history and AI assistance are recorded in [NOTICE.md](NOTICE.md).
+Original notices and the inherited proofs are retained separately.
diff --git a/research/early-reset-source-banks/vendor/pr433/SOURCES.json b/research/early-reset-source-banks/vendor/pr433/SOURCES.json
new file mode 100644
index 0000000000..215f58a649
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/SOURCES.json
@@ -0,0 +1,134 @@
+{
+  "upstream_base": "12a4934d15006e8c10f9b2264f13f8f341be802b",
+  "pr425": "e11ccea1d092beb1b01b4ee4ce49da478234254c",
+  "pr426": "88d552526893cd15325948bb1487e9a4d4bf32f6",
+  "imported_files": [
+    {
+      "path": "vendor/hamming_packets.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/hamming_packets.py",
+      "sha256": "daa9301e2767a711cfe66c6bebaad68e1a3bdb97ec9e848c927527ab43b37ae5"
+    },
+    {
+      "path": "vendor/clifford_exact.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/odd-stages/clifford_exact.py",
+      "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962"
+    },
+    {
+      "path": "inputs/complex-ports.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz",
+      "sha256": "77b0c0fa19ef3da1c7316010e13493aa5eea1a50c3506eddc08f7480e659878b"
+    },
+    {
+      "path": "inputs/complex-template.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-nine-native/GLOBAL-TEMPLATE.json.gz",
+      "sha256": "1b84904a31a733aab9bfdda3f528c06719f590d2133a43687a8bded955dc991e"
+    },
+    {
+      "path": "inputs/complex-data-phases.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-nine-native/DATA-PHASES.json",
+      "sha256": "c972b5b60649c2a52354f5160f69adc0f4a270fa09d32012beff9888774ab84f",
+      "source_sha256": "f621f6d4296cb215f334830356c5f79fe10d6d04d15b3ccda76ba0885ab67d0a",
+      "encoding": "gzip; decoded bytes identical to source"
+    },
+    {
+      "path": "inputs/e8-r865.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz",
+      "sha256": "1fb726ea3818fe0837cceb0dd22a71a0814f064e5e781628104610d6468e0e55"
+    },
+    {
+      "path": "proofs/PR425-COMPLEX.txt",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/hamming/PROOF.txt",
+      "sha256": "2cda27b9b9a1eb24127c38c2c7a6e085155a2472183e220189a3ea2c2b7720dc"
+    },
+    {
+      "path": "proofs/INHERITED-COMPLEX-GEOMETRY.txt",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-nine-native/PROOF.txt",
+      "sha256": "c1ff55536594222a8d2a30bc0e0956959774e1be2d5420b7838ad553ee556df2"
+    },
+    {
+      "path": "vendor/engines/moment.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr361/code/engines/moment.py",
+      "sha256": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482"
+    },
+    {
+      "path": "vendor/engines/base_two_moment.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr361/code/engines/base_two_moment.py",
+      "sha256": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098"
+    },
+    {
+      "path": "vendor/engines/outer.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr361/code/engines/outer.py",
+      "sha256": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c"
+    },
+    {
+      "path": "vendor/export_records.py",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit/code/bit/export_records.py",
+      "sha256": "8a5999601f917dbb492bb9ae9a344611f18cc7cedc53dc3c76496a369e530eb3"
+    },
+    {
+      "path": "inputs/bit-geometry.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine-validation/GEOMETRY.json.gz",
+      "sha256": "5c980202227859e8bb9b863f94503930c2a59d460c0421356688e2b0d828b4a1"
+    },
+    {
+      "path": "proofs/PR386-BIT-GEOMETRY.txt",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine/PROOF.txt",
+      "sha256": "c5f077b849e9add9957ab4ee36095dd47bc678dee7e09baa146dac4c0a0d66b2"
+    },
+    {
+      "path": "notices/PR386.txt",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine/NOTICE.txt",
+      "sha256": "ae2241615a23063b18a04f1b7a88a52e62b3d7d42e333fbd21e3668567ab83d1"
+    },
+    {
+      "path": "inputs/bit-r767.json.gz",
+      "source": "CrocSwap/integer-mult-bounds@88d552526893cd15325948bb1487e9a4d4bf32f6:research/e8-clean-reuse-extension/data/bit-candidate.json.gz",
+      "sha256": "bd3b84244528767b85d8d7fe423b155630b5c659e21e51563674b1dcb6305ad7"
+    },
+    {
+      "path": "notices/PR426.md",
+      "source": "CrocSwap/integer-mult-bounds@88d552526893cd15325948bb1487e9a4d4bf32f6:research/e8-clean-reuse-extension/NOTICE.md",
+      "sha256": "6a5593d0f284a2f0865037f5c5fa9e5f76f9e12cf50ec5284486d3b8137c89da"
+    },
+    {
+      "path": "proofs/PR426.md",
+      "source": "CrocSwap/integer-mult-bounds@88d552526893cd15325948bb1487e9a4d4bf32f6:research/e8-clean-reuse-extension/PROOF.md",
+      "sha256": "5787738ceb6faf14d3d96e8452592860a6c6a469733a9bcf196e8d1562ba1ffb"
+    },
+    {
+      "path": "notices/PR426-SOURCE-PINS.json",
+      "source": "CrocSwap/integer-mult-bounds@88d552526893cd15325948bb1487e9a4d4bf32f6:research/e8-clean-reuse-extension/SOURCE-PINS.json",
+      "sha256": "18ace817f2f9af22511bb303e99656ed114e534b87f3dd95a65ca4ca670baf2f"
+    },
+    {
+      "path": "notices/NOTICE-PR352.md",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr370-source/research/e8-bit/NOTICE-PR352.md",
+      "sha256": "967e6d7e76e216e4898cf543c75b527e8d397ec1ddba3800cb20701f24c89524"
+    },
+    {
+      "path": "notices/NOTICE.md",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr370-source/research/e8-bit/NOTICE.md",
+      "sha256": "025773f32fb43667395e64c627a1752877bdc93afbfe01b106703eee438d21d3"
+    },
+    {
+      "path": "LICENSE",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/pr370-source/research/e8-bit/LICENSE",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4"
+    },
+    {
+      "path": "notices/SUSSMAN-NOTICE",
+      "source": "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit/code/complex/inputs/complex/NOTICE",
+      "sha256": "9419dd03a2f52cf8bdfc4d18216ce29f263ab583b27f01ced8e420985bcb7c81"
+    }
+  ],
+  "adapted_sources": {
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/hamming_full.py": "613796df039dfc08de708831582533e553316eaf157485531e4df2d897bdb3bb",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/audit_full.py": "fdc1da8fa95716d60076383e691a5be1bf8bec0b229b7582bc056afac28951d0",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/integrate.py": "eb5b427f2095578f28a1fb320b4694047e20abdbe0c8bcdc65b1e9e05ab90d01",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/phase_full.py": "5c2bd267cc3106c9eee8787132c460614fdde8177c0c2653435f8a7b110ebac1",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/hamming-mutable-basis-complex/work/complex-network/replay_ir.py": "f7a3829118581ee59fdeefc1f91166d8e7bb94686ea92e7743a2ef7d50139dcc",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine/global_word.py": "2c438be46213e014170e607a745185e45e33c7b7240b833efc86a2330de0d1f6",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine/audit.py": "75811327b0d6cbd56aae8e28d72abd42d57c7f3f3630781d045efee2d36446e9",
+    "CrocSwap/integer-mult-bounds@e11ccea1d092beb1b01b4ee4ce49da478234254c:research/e8-bit-complex-nine/certify.py": "550b1408fb3a581dd6b82c90e3f84ad7a9f78746d2be11ffa1cf543d719ae2d4"
+  }
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/VALIDATION.json b/research/early-reset-source-banks/vendor/pr433/VALIDATION.json
new file mode 100644
index 0000000000..da1036d471
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/VALIDATION.json
@@ -0,0 +1,28 @@
+{
+  "status": "PASS_CLEAN_DIRECTORY_INCREMENTAL_REPLAY",
+  "python": "3.14",
+  "tested_code_vendor_input_digest": "c15599626c4222a95ddb4f0a9da028cfce5c8636c7a737d6869155c2f33301ed",
+  "steps": [
+    "hamming_packets",
+    "complex_construct",
+    "complex_audit",
+    "complex_emit",
+    "complex_phases",
+    "bit_construct",
+    "bit_export",
+    "bit_global",
+    "bit_audit",
+    "bit_price",
+    "complex_integrate",
+    "complex_replay",
+    "combined"
+  ],
+  "phase_mode": "source-bound unchanged evidence",
+  "new_complex_phase_pairs": 248,
+  "reused_verified_complex_phase_pairs": 2670,
+  "source_bound_bit_geometry": "PR386; exact unchanged root/frame/port/slot identities",
+  "historical_full_suite_rerun": false,
+  "pdf_built": false,
+  "ci_status": "Not yet run for this commit",
+  "post_replay_packaging": "Phase JSON gzip round-trip matched the verified decoded bytes; mathematical code and witnesses unchanged."
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/code/bit_audit.py b/research/early-reset-source-banks/vendor/pr433/code/bit_audit.py
new file mode 100644
index 0000000000..82e1663e58
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/bit_audit.py
@@ -0,0 +1,126 @@
+# Adapted with exact rational span checks by icekylinx; Codex assistance.
+"""Independent audit of the emitted bit template, including mutation controls.
+Prepared by Zhihao Chen with OpenAI Codex assistance; Apache-2.0.
+"""
+import argparse, copy, gzip, hashlib, json, struct, time
+from collections import Counter, defaultdict
+from pathlib import Path
+from fractions import Fraction as Q
+
+def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest()
+
+def main():
+    ap=argparse.ArgumentParser(); ap.add_argument('--local-check',type=Path,required=True); ap.add_argument('--out',type=Path,required=True)
+    a=ap.parse_args(); start=time.monotonic(); out=a.out
+    blob=gzip.decompress((out/'GLOBAL-TEMPLATE.json.gz').read_bytes()); t=json.loads(blob)
+    g=json.loads((out/'GLOBAL.json').read_text()); geo=json.loads((out/'GEOMETRY.json').read_text())
+    assert hashlib.sha256(blob).hexdigest()==g['template_sha256']
+    assert t['geometry_sha256']==sha(out/'GEOMETRY.json') and t['source_record_sha256']==sha(a.local_check/'records/249-records.bin')
+    fs=json.loads((a.local_check/'records/frames.json').read_text())['frames']
+    records=list(struct.iter_unpack('<6i',(a.local_check/'records/249-records.bin').read_bytes()))
+    word=json.loads((a.local_check/'bit-source-centres.json').read_text())
+    assert g['word_sha256']==sha(a.local_check/'bit-source-centres.json')
+    def rank(rows):
+        piv={}
+        for rr in rows:
+            row=list(map(Q,rr))
+            for k,b in sorted(piv.items()):
+                q=row[k]
+                if q:row=[x-q*y for x,y in zip(row,b)]
+            k=next((j for j,x in enumerate(row) if x),None)
+            if k is not None:
+                q=row[k];piv[k]=[x/q for x in row]
+        return len(piv)
+    dimensions={};proj={}
+    for key,f in fs.items():
+        k=int(key);B=f['B'];roots=[word['lines'][j] for j in word['frames'][k]]
+        assert rank(B)==f['dim']==rank(B+roots)==rank(roots)
+        dimensions[k]=f['dim'];proj[k]=B
+    sets=[set(f) for f in word['frames']];pairs={}
+    for op,x,y,c,r,z in records:
+        if op==0:
+            assert sets[y]<=sets[c] and dimensions[c]-dimensions[y]==r
+            pairs[y,c]=r
+    # Positive definite rational form: exact inclusion implies commuting
+    # orthogonal projectors and rank(P_V-P_U)=dim(V)-dim(U), also in reflection.
+    assert len(proj)==944
+    expected={}
+    for rev in (False,True):
+        es=[]
+        for op,x,y,c,f,z in (reversed(records) if rev else records):
+            if op==0: es.append([0,x,c if rev else y,y if rev else c,f,int(rev)])
+            elif op==1: es.append([1,x,y,-c if rev else c,f,int(rev)])
+            elif op==(3 if rev else 2): es.append([2,x,y,c,f,abs(dimensions[c]-dimensions[f]),int(rev)])
+            else: es.append([3,x,y,c,f,z,int(rev)])
+        expected['reverse' if rev else 'forward']=es
+    assert t['local_programs']==expected
+
+    def validate(q,check_profile=True):
+        assert (q['m'],q['live'],q['replicas'],q['stages'])==(64,14502,8,9)
+        assert q['bank_padding'] is None and q['local_programs']==expected
+        hist=Counter(); occupation=defaultdict(set); calls=set()
+        for c in q['calls']:
+            st,rep,p=c['stage'],c['replica'],c['pair']; rev=c['orientation']=='reverse'
+            assert 0<=st<9 and 0<=rep<8 and p==max(0,(st-1)//2)
+            assert rev==(st in (1,3,5,7)) and (st,rep) not in calls; calls.add((st,rep))
+            own=c['owners']; assert len(own)==998
+            assert len({(f,tuple(r)) for f,r in own})==998
+            for i,(family,route) in enumerate(own):
+                assert 0<=family<14502
+                if i<240:
+                    side=i//120; side=1-side if rev else side
+                    assert family==rep*960+(2*p+side)*120+i%120 and route==['data',st,i%120]
+                else:
+                    j=i-240; bank,slot=divmod(rep*758+j,8)
+                    assert family==7680+st*758+bank and route==['bank',slot]
+                    assert slot not in occupation[family]; occupation[family].add(slot)
+            for e in q['local_programs'][c['orientation']]:
+                if e[0]==0 and e[4]: hist[e[4]]+=1
+                if e[0]==2: hist[e[5]]+=1
+        assert calls=={(s,r) for s in range(9) for r in range(8)}
+        assert set(occupation)==set(range(7680,14502)) and all(s==set(range(8)) for s in occupation.values())
+        levels=[-1]*4; scalar=[1<<i for i in range(8)]; seen=[]; br=0; exchanged=False
+        for e in q['schedule']:
+            if e['kind']=='local_cover_sweep':
+                s,p,rev=e['stage'],e['pair'],e['reverse']; assert levels[p]==s-1 and not exchanged
+                src,dst=(2*p+1,2*p) if rev else (2*p,2*p+1)
+                scalar[dst]^=scalar[src]; levels[p]=s; seen.append(s)
+            elif e['kind']=='idle':
+                p,src,dst,r=e['pair'],e['source_level'],e['target_level'],e['rank']
+                assert levels[p]==src and src<=dst<=8
+                assert r==7*(dst-src); levels[p]=dst
+                if r: hist[r]+=1920
+            elif e['kind']=='bridge':
+                d,s=e['dst'],e['src']; assert levels[d]==levels[s] and e['coefficient'] in (-1,1)
+                scalar[2*d]^=scalar[2*s]; scalar[2*s+1]^=scalar[2*d+1]; br+=1
+            else:
+                assert e['kind']=='exchange' and levels==[8]*4 and not exchanged
+                for p in range(4): scalar[2*p],scalar[2*p+1]=scalar[2*p+1],scalar[2*p]
+                exchanged=True
+        assert exchanged and scalar==[1<<i for i in range(8)] and seen==list(range(9)) and br==9
+        assert 64*14502-sum(r*n for r,n in hist.items())==2496
+        if check_profile: assert hist==Counter({int(k):v for k,v in g['profile'].items()})
+        return hist
+    hist=validate(t)
+    controls=[]
+    def rejects(name,mutator):
+        q=copy.deepcopy(t); mutator(q)
+        try: validate(q)
+        except (AssertionError,KeyError,IndexError): controls.append(name)
+        else: raise AssertionError('mutation accepted: '+name)
+    rejects('omit an idle child',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='idle')))
+    rejects('omit a bridge',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='bridge')))
+    rejects('omit terminal exchange',lambda q:q['schedule'].pop())
+    rejects('remove a local invocation',lambda q:q['calls'].pop())
+    rejects('re-use a helper bank slot',lambda q:q['calls'][0]['owners'].__setitem__(241,q['calls'][0]['owners'][240]))
+    rejects('understate live stock',lambda q:q.__setitem__('live',14501))
+    rejects('omit a local paid move',lambda q:q['local_programs']['forward'].pop(next(i for i,e in enumerate(q['local_programs']['forward']) if e[0]==0)))
+    rejects('wrong reflected copy charge',lambda q:q['local_programs']['reverse'][next(i for i,e in enumerate(q['local_programs']['reverse']) if e[0]==2)].__setitem__(5,0))
+    result=dict(status='PASS_INDEPENDENT_COMPRESSED_BIT_TEMPLATE_AUDIT',template_sha256=g['template_sha256'],
+                source_frames=len(proj),exact_nested_frame_pairs=len(pairs),exact_reflected_pairs=len(pairs),
+                orthogonal_lift_argument='Adding the same orthogonal E_s leaves P_V-P_U unchanged; each audited projector is therefore the literal child projector in every one of the nine windows.',
+                exact_bank_families=6822,slots_per_bank=8,mutations_rejected=controls,
+                profile=dict(sorted(hist.items())),seconds=time.monotonic()-start)
+    (out/'AUDIT.json').write_text(json.dumps(result,indent=2)+'\n'); print(json.dumps(result),flush=True)
+
+if __name__=='__main__': main()
diff --git a/research/early-reset-source-banks/vendor/pr433/code/bit_construct.py b/research/early-reset-source-banks/vendor/pr433/code/bit_construct.py
new file mode 100644
index 0000000000..e43632e95f
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/bit_construct.py
@@ -0,0 +1,134 @@
+"""Replace independent retained helpers by a reversible source-basis word.
+
+icekylinx, with Codex assistance. Inherited E8 input notices apply. This
+certifies the finite local F2 word and nested incidences, not a new kappa.
+"""
+from pathlib import Path
+from hashlib import sha256
+import copy
+import json
+
+import os
+ROOT = Path(os.environ['E8_OUTPUT']) / 'bit426-source-centres'
+
+
+def replay(c, skip_inverse=False, skip_dirt=False):
+    v, n = c['v'], 2*c['v'] + c['R']
+    x = [1 << i for i in range(n)]
+    def run(gs):
+        for f, d, ss in gs:
+            assert d not in ss
+            for s in ss:
+                x[d] ^= x[s]
+    if not skip_dirt:
+        run(c['D'])
+    run(c['A'])
+    totals = [x[r] for r in c['ret']]
+    for t, ss in enumerate(c['scatter']):
+        for k in ss:
+            x[v+t] ^= totals[k]
+    run(c['B'][c.get('source_basis_gates', 0):] if skip_inverse else c['B'])
+    run(c['C'])
+    expected = [1 << i for i in range(n)]
+    for t in range(v):
+        expected[v+t] ^= 1 << t
+    return x == expected
+
+
+def main():
+    source = ROOT / 'bit-input.json'
+    old = json.loads(source.read_bytes())
+    assert replay(old)
+    v = old['v']
+    retired = set(old['ret'])
+    full = old['final'][0]
+    rows = []
+    for r in old['ret']:
+        row = 0
+        for f, d, ss in old['A']:
+            if d == r:
+                assert f == full and all(s < v for s in ss)
+                for s in ss:
+                    row ^= 1 << s
+        assert row
+        rows.append(row)
+    assert all(not retired.intersection(ss) for f, d, ss in old['A'] + old['B'])
+    assert all(d not in retired for f, d, ss in old['B'])
+    # Find an invertible minor, preserving the original order of centre rows.
+    echelon = {}
+    for row in rows:
+        for p, q in sorted(echelon.items()):
+            if row >> p & 1:
+                row ^= q
+        assert row, 'Retained forms must be independent'
+        p = (row & -row).bit_length() - 1
+        echelon[p] = row
+    pivots = sorted(echelon)
+    matrix = [1 << i for i in range(v)]
+    for p, row in zip(pivots, rows):
+        matrix[p] = row
+    target = matrix[:]
+    elimination = []
+    def add(d, s):
+        matrix[d] ^= matrix[s]
+        elimination.append((d, s))
+    for p in range(v):
+        q = next(i for i in range(p, v) if matrix[i] >> p & 1)
+        if q != p:
+            add(p, q); add(q, p); add(p, q)
+        for i in range(v):
+            if i != p and matrix[i] >> p & 1:
+                add(i, p)
+    assert matrix == [1 << i for i in range(v)]
+    forward = [[full, d, [s]] for d, s in reversed(elimination)]
+    inverse = list(reversed(forward))
+    check = [1 << i for i in range(v)]
+    for f, d, ss in forward:
+        check[d] ^= check[ss[0]]
+    assert check == target
+    out = copy.deepcopy(old)
+    physical = [i for i in range(2*v+old['R']) if i not in retired]
+    index = {r: i for i, r in enumerate(physical)}
+    def remap(gs):
+        return [[f, index[d], [index[s] for s in ss if s not in retired]]
+                for f, d, ss in gs if d not in retired]
+    out['R'] -= len(retired)
+    out['ret'] = pivots
+    out['D'] = remap(old['D'])
+    out['A'] = remap(old['A']) + forward
+    out['B'] = inverse + remap(old['B'])
+    out['C'] = remap(old['C'])
+    out['start'] = [old['start'][i] for i in physical]
+    out['final'] = [old['final'][i] for i in physical]
+    out['source_basis_gates'] = len(forward)
+    assert replay(out), 'All independent source, target and dirty columns'
+    assert not replay(out, skip_inverse=True)
+    assert not replay(out, skip_dirt=True)
+    # Frame incidence inclusion uses the root-closed sets in this bit format.
+    frames = [set(f) for f in out['frames']]
+    cur = out['start'][:]
+    for phase in ['D', 'A', 'B', 'C']:
+        for f, d, ss in out[phase]:
+            for r in [d] + ss:
+                assert frames[cur[r]] <= frames[f], (phase, r, cur[r], f)
+                cur[r] = f
+        if phase == 'A':
+            assert all(cur[r] == full for r in out['ret'])
+    assert all(frames[f] <= frames[g] for f, g in zip(cur, out['final']))
+    raw = json.dumps(out, sort_keys=True, separators=(',', ':')).encode()
+    (ROOT / 'bit-source-centres.json').write_bytes(raw)
+    result = dict(status='PASS_LOCAL_ALL_COLUMNS_AND_NESTED_FRAMES',
+                  original_R=old['R'], new_R=out['R'],
+                  removed_retained_helpers=sorted(retired), retained_source_rows=pivots,
+                  formal_columns=2*v+out['R'], reversible_basis_gates_each_way=len(forward),
+                  source_sha256=sha256(source.read_bytes()).hexdigest(),
+                  output_sha256=sha256(raw).hexdigest(),
+                  controls=['unmodified word passes', 'missing inverse rejected', 'missing dirt rejected'],
+                  kappa_claimed=False,
+                  remaining=['global ordinary-call and reflected integration', 'finite coefficient and tape invoice', 'exact priced component comparison'])
+    (ROOT / 'bit-source-centres-receipt.json').write_text(json.dumps(result, indent=2)+'\n')
+    print(json.dumps(result))
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/early-reset-source-banks/vendor/pr433/code/bit_global.py b/research/early-reset-source-banks/vendor/pr433/code/bit_global.py
new file mode 100644
index 0000000000..5ccf622825
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/bit_global.py
@@ -0,0 +1,226 @@
+# Adapted for the PR426/source-centre composition by icekylinx with Codex assistance.
+"""Source-bound compressed nine-stage bit template and exact scalar audits.
+
+Prepared by Zhihao Chen with OpenAI Codex assistance, Apache-2.0.
+The local E8 bit word is Dylan Crow's pinned PR #370 contribution.
+"""
+import argparse, gzip, hashlib, json, struct, time
+from collections import Counter
+from pathlib import Path
+
+H,V,R,L,K,T,M=8,120,758,9,4,8,64
+LOCAL=2*V+R; DATA=2*K*V*T; LIVE=DATA+L*R
+def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest()
+def write(p,x): p.write_text(json.dumps(x,indent=2)+'\n')
+
+def recipe():
+    out=[dict(kind='local',stage=0,pair=0,reverse=False)]; stage=1
+    for j in range(K):
+        out.append(dict(kind='local',stage=stage,pair=j,reverse=True)); stage+=1
+        if j<K-1: out.append(dict(kind='bridge',dst=j,src=j+1,coefficient=1))
+        out.append(dict(kind='local',stage=stage,pair=j,reverse=False)); stage+=1
+        if j<K-1: out.append(dict(kind='bridge',dst=j,src=j+1,coefficient=-1))
+    for j in reversed(range(K-1)): out.append(dict(kind='bridge',dst=j+1,src=j,coefficient=1))
+    out.append(dict(kind='exchange'))
+    return out
+
+def main():
+    ap=argparse.ArgumentParser(); ap.add_argument('--source',type=Path,required=True)
+    ap.add_argument('--local-check',type=Path,required=True); ap.add_argument('--out',type=Path,required=True)
+    a=ap.parse_args(); start=time.monotonic(); out=a.out; out.mkdir(parents=True,exist_ok=True)
+    wp=a.source/'bit-source-centres.json'; w=json.loads(wp.read_bytes())
+    inherited=Path('inherited/bit-geometry.json.gz')
+    geo=json.loads(gzip.decompress(inherited.read_bytes()))
+    base=Path('work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz')
+    original=json.loads(gzip.decompress(base.read_bytes()))
+    assert geo['word_sha256']==sha(base)
+    assert w['lines']==original['lines'] and w['frames']==original['frames'] and w['form']==original['form']
+    geo['inherited_geometry_sha256']=sha(inherited);geo['word_sha256']=sha(wp)
+    geo['reuse_scope']='Unchanged ports, rational frames, compressed windows and whole rank-eight bank slots; changed owners are replayed separately.'
+    write(out/'GEOMETRY.json',geo)
+    rp=a.local_check/'records/249-records.bin';raw=rp.read_bytes();rec=list(struct.iter_unpack('<6i',raw))
+    state=json.loads((a.local_check/'records/249-states.json').read_text())
+    fs=json.loads((a.local_check/'records/frames.json').read_text())['frames']
+    dims={int(f):z['dim'] for f,z in fs.items()}
+    assert (state['v'],state['n'])==(V,LOCAL)
+    expected_adds=sum(e[0]==1 for e in rec)
+    initial=[state['initial'][str(i)] for i in range(LOCAL)]
+    final=[state['final'][str(i)] for i in range(LOCAL)]
+    assert all(dims[initial[i]]==0 and dims[final[i]]==H for i in range(2*V,LOCAL))
+    streams={}; checks={}; localH=None
+    for reverse in (False,True):
+        cur=(final if reverse else initial)[:]+[-1]; val=[1<<i for i in range(LOCAL)]+[0]
+        norm=[1]*LOCAL+[0]; maxnorm=1; center=None; hist=Counter(); events=[]; copies=0; adds=0
+        dim=lambda f:H-dims[f] if reverse else dims[f]
+        for op,x,y,c,f,z in (reversed(rec) if reverse else rec):
+            if op==0:
+                oldf,newf=(c,y) if reverse else (y,c)
+                assert cur[x]==oldf and dim(newf)-dim(oldf)==f>=0
+                cur[x]=newf
+                if f: hist[f]+=1
+                events.append([0,x,oldf,newf,f,int(reverse)])
+            elif op==1:
+                assert cur[x]==cur[y]==f and x!=y and x<LOCAL
+                if center is not None: assert x!=center
+                if y==LOCAL: assert center is not None
+                if c&1: val[x]^=val[y]
+                norm[x]+=abs(c)*norm[y]; maxnorm=max(maxnorm,norm[x]); adds+=1
+                events.append([1,x,y,-c if reverse else c,f,int(reverse)])
+            elif op==(3 if reverse else 2):
+                assert center is None and y==LOCAL and cur[x]==c and val[LOCAL]==0
+                copy_rank=abs(dim(c)-dim(f)); assert copy_rank==8
+                assert z==(0 if reverse else copy_rank)
+                center=x; cur[LOCAL]=f; val[LOCAL]=val[x]; norm[LOCAL]=norm[x]
+                hist[copy_rank]+=1; copies+=1; events.append([2,x,LOCAL,c,f,copy_rank,int(reverse)])
+            else:
+                assert op==(2 if reverse else 3)
+                assert center==x and y==LOCAL and cur[x]==c and cur[LOCAL]==f
+                assert val[LOCAL]==val[x]
+                val[LOCAL]=0; norm[LOCAL]=0; cur[LOCAL]=-1; center=None
+                events.append([3,x,LOCAL,c,f,z,int(reverse)])
+        assert center is None and copies==9 and adds==expected_adds
+        assert cur[:LOCAL]==(initial if reverse else final)
+        for i in range(LOCAL):
+            want=(1<<i) ^ ((1<<(i-V)) if V<=i<2*V else 0)
+            assert val[i]==want
+        assert val[LOCAL]==0
+        if localH is None: localH=hist
+        else: assert localH==hist
+        key='reverse' if reverse else 'forward'; streams[key]=events
+        checks[key]=dict(copies=copies,adds=adds,records=len(events),all_columns=LOCAL,
+                         cancellation_free_row_l1=maxnorm,profile=dict(sorted(hist.items())),
+                         sha256=hashlib.sha256(json.dumps(events,separators=(',',':')).encode()).hexdigest())
+    assert sum(r*n for r,n in localH.items())==H*R+72+2*V*(H-1)==7816
+    assert localH==Counter({1:2367,2:875,3:475,4:321,5:164,7:14,8:9})
+
+    events=recipe(); levels=[-1]*K; schedule=[]; bridge_controls=[]
+    # Full scalar replay on separate dirty helpers for all nine stages.
+    # Physical banking then uses the separately checked injective cover owners.
+    n=2*K*V+L*R; vals=[1<<i for i in range(n)]+[0]; temp=n
+    stages=[]
+    for e in events:
+        if e['kind']=='local':
+            s,p,rev=e['stage'],e['pair'],e['reverse']; assert levels[p]==s-1
+            def mapper(i):
+                if i==LOCAL: return temp
+                if i<2*V:
+                    side=i//V; side=1-side if rev else side
+                    return (2*p+side)*V+i%V
+                return 2*K*V+s*R+i-2*V
+            before=vals[:]; opened=False
+            for z in streams['reverse' if rev else 'forward']:
+                if z[0]==0: continue
+                x,y=mapper(z[1]),mapper(z[2])
+                if z[0]==1:
+                    if z[3]&1: vals[x]^=vals[y]
+                elif z[0]==2:
+                    assert not opened; vals[temp]=vals[x]; opened=True
+                else:
+                    assert opened and vals[temp]==vals[x]; vals[temp]=0; opened=False
+            assert not opened
+            d=(2*p+(0 if rev else 1))*V; src=(2*p+(1 if rev else 0))*V
+            for t in range(V): before[d+t]^=before[src+t]
+            assert vals==before
+            levels[p]=s; schedule.append(dict(kind='local_cover_sweep',**{k:v for k,v in e.items() if k!='kind'}))
+            if s in (1,3,5):
+                j=(s+1)//2; assert levels[j]==-1; levels[j]=s
+                schedule.append(dict(kind='idle',pair=j,rank=7*(s+1),source_level=-1,target_level=s))
+            elif s in (2,4,6):
+                j=s//2; assert levels[j]==s-1; levels[j]=s
+                schedule.append(dict(kind='idle',pair=j,rank=7,source_level=s-1,target_level=s))
+            elif s==8:
+                for j in range(4):
+                    oldlevel=levels[j]; assert oldlevel==2*j+2
+                    schedule.append(dict(kind='idle',pair=j,rank=7*(8-oldlevel),source_level=oldlevel,target_level=8))
+                    levels[j]=8
+            stages.append(dict(stage=s,all_columns=n,helper_columns=L*R,reverse=rev))
+        elif e['kind']=='bridge':
+            d,s=e['dst'],e['src']; assert levels[d]==levels[s]
+            for t in range(V): vals[2*d*V+t]^=vals[2*s*V+t]; vals[(2*s+1)*V+t]^=vals[(2*d+1)*V+t]
+            schedule.append(e)
+        else:
+            assert levels==[8]*4
+            for j in range(K):
+                for t in range(V):
+                    x=2*j*V+t; y=(2*j+1)*V+t; vals[x],vals[y]=vals[y],vals[x]
+            schedule.append(e)
+    assert vals==[1<<i for i in range(n)]+[0]
+    # Integer scalar eight-bank matrix, with each individual bridge shear omitted.
+    def small(skip=-1):
+        z=[[int(i==j) for j in range(8)] for i in range(8)]; count=0
+        def add(d,s,c): z[d]=[x+c*y for x,y in zip(z[d],z[s])]
+        for e in events:
+            if e['kind']=='local':
+                p=e['pair']; add(2*p,2*p+1,-1) if e['reverse'] else add(2*p+1,2*p,1)
+            elif e['kind']=='bridge':
+                d,s,c=e['dst'],e['src'],e['coefficient']
+                for x,y,sgn in [(2*d,2*s,c),(2*s+1,2*d+1,-c)]:
+                    if count!=skip: add(x,y,sgn)
+                    count+=1
+            else:
+                for j in range(4): z[2*j],z[2*j+1]=z[2*j+1],[-x for x in z[2*j]]
+        return z,count
+    ident=[[int(i==j) for j in range(8)] for i in range(8)]
+    z,nb=small(); assert z==ident and nb==18
+    for skip in range(nb): assert small(skip)[0]!=ident; bridge_controls.append(skip)
+
+    paid=Counter(); calls=[]; assignment=set(); expanded=hashlib.sha256(); full_event_count=0
+    for e in events:
+        if e['kind']!='local': continue
+        s,p,rev=e['stage'],e['pair'],e['reverse']; ori='reverse' if rev else 'forward'
+        for rep in range(T):
+            owners=[]
+            for i in range(2*V):
+                side=i//V; side=1-side if rev else side
+                owners.append([rep*(2*K*V)+(2*p+side)*V+i%V, ['data',s,i%V]])
+            for r in range(R):
+                bank,slot=divmod(rep*R+r,8)
+                owners.append([DATA+s*R+bank,['bank',slot]])
+                assignment.add((s,rep,r,bank,slot))
+            assert len({(f,tuple(route)) for f,route in owners})==LOCAL
+            assert all(0<=f<LIVE for f,route in owners)
+            # Stream one full renamed instruction program into a source-bound
+            # digest, including exact owner route descriptors and reflection.
+            for z in streams[ori]:
+                op=z[0]
+                if op==0: paid[z[4]]+=bool(z[4]); mapped=[op,owners[z[1]],*z[2:]]
+                else:
+                    ox=owners[z[1]]; oy=owners[z[2]] if z[2]<LOCAL else [LIVE,['private',0]]
+                    mapped=[op,ox,oy,*z[3:]]
+                    if op==2: paid[z[5]]+=1
+                expanded.update((json.dumps(mapped,separators=(',',':'))+'\n').encode()); full_event_count+=1
+            calls.append(dict(stage=s,replica=rep,pair=p,orientation=ori,owners=owners,local_hash=checks[ori]['sha256']))
+    paid.pop(0,None)
+    assert len(assignment)==L*T*R==54576 and len(calls)==72
+    for e in schedule:
+        if e['kind']=='idle' and e['rank']: paid[e['rank']]+=2*V*T
+    mass=sum(r*c for r,c in paid.items()); assert M*LIVE-mass==2496
+    assert dict(sorted(paid.items()))=={1:170424,2:63000,3:34200,4:23112,5:11808,7:6768,8:648,14:3840,28:3840,42:3840}
+    cf=checks['forward']['cancellation_free_row_l1']; cb=checks['reverse']['cancellation_free_row_l1']
+    prefix=(1<<nb)*cf**5*cb**4; charged_prefix=64*((prefix.bit_length()+63)//64);assert prefix<1<<charged_prefix
+    print('Fresh prefix bits',prefix.bit_length(),'charged',charged_prefix,flush=True)
+    template=dict(version='compressed-nine-e8-bit-v1',m=M,h=H,stages=L,replicas=T,live=LIVE,private_centre_reserve=9,
+                  cover='O(I_64/2,F_q) for admitted odd address primes q',loop_order='Each recipe phase: replicas then all cover classes; finish every local invocation before the next.',
+                  schedule=schedule,local_programs=streams,calls=calls,bank_padding=None,
+                  helper_route='owner (DATA + stage*758 + floor((758*replica+helper)/8), d*Pi_slot^-1)',
+                  data_route='owner (replica*960 + (2*pair+side)*120+port, d*rho_stage,port)',
+                  bit_operator='D_U exchanges the two address halves on projector U; D_I D_P = D_(I-P) exactly.',
+                  geometry_sha256=sha(out/'GEOMETRY.json'),source_record_sha256=sha(rp))
+    blob=json.dumps(template,separators=(',',':'),sort_keys=True).encode(); (out/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(blob,mtime=0))
+    result=dict(status='PASS_SOURCE_BOUND_NINE_STAGE_BIT_TEMPLATE',h=H,m=M,v=V,R=R,replicas=T,live=LIVE,physical=LIVE+9,
+                word_sha256=sha(wp),source_records_sha256=sha(rp),local_checks=checks,scalar_stages=stages,
+                independent_unbanked_scalar_columns=n,all_scalar_columns_restored=True,
+                geometry_sha256=sha(out/'GEOMETRY.json'),template_sha256=hashlib.sha256(blob).hexdigest(),
+                emitted_program_sha256=expanded.hexdigest(),emitted_events=full_event_count,local_invocations=len(calls),
+                bank_assignments=len(assignment),banks_per_stage=R,whole_rank8_slots_per_bank=8,padding_calls=0,
+                profile=dict(sorted(paid.items())),paid_calls=sum(paid.values()),rank_mass=mass,deficit=2496,
+                maxchild=max(paid),halving_depth=2,halving_integer_inequality=[64**2,2*42**2],
+                local_additions=expected_adds,bridge_additions=18*V*T,copy_erase_episodes=9*72,
+                global_prefix_bound=str(prefix),global_prefix_bits=prefix.bit_length(),charged_prefix_bits=charged_prefix,
+                omitted_bridge_shears_rejected=bridge_controls,
+                scope='Complete source-bound finite cover template. Local and unbanked global F2 columns are replayed; arbitrary physical bank dirt follows by injective owner routes and the all-column local theorem. Astronomical cover enumeration and all-size compiler interfaces remain explicit inherited assumptions.',
+                seconds=time.monotonic()-start)
+    write(out/'GLOBAL.json',result)
+    print(json.dumps({k:v for k,v in result.items() if k not in ('local_checks','scalar_stages','global_prefix_bound')}),flush=True)
+
+if __name__=='__main__': main()
diff --git a/research/early-reset-source-banks/vendor/pr433/code/bit_price.py b/research/early-reset-source-banks/vendor/pr433/code/bit_price.py
new file mode 100644
index 0000000000..005da012a3
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/bit_price.py
@@ -0,0 +1,18 @@
+"""Exact price of the emitted bit program; no histogram supplied by discovery."""
+import json,importlib.util
+from fractions import Fraction as Q
+from pathlib import Path
+
+def load(name):
+ p=Path('work/pr361/code/engines')/(name+'.py');sp=importlib.util.spec_from_file_location('price_'+name,p);m=importlib.util.module_from_spec(sp);sp.loader.exec_module(m);return m
+p=Path('bit426-source-centres/global');g=json.loads((p/'GLOBAL.json').read_text());a=json.loads((p/'AUDIT.json').read_text())
+assert a['template_sha256']==g['template_sha256']
+H={int(r):n for r,n in a['profile'].items()};m,W=g['m'],g['live']
+M,B=load('moment'),load('base_two_moment');root=M.certify(H,m,W,True);lo,hi=Q(root['lower']),Q(root['upper'])
+fb=32*m*m*sum(H.values())
+def other(x):
+ l,u=B.moment(m,W,list(H.items()),x);a,b=B.moment(m,W,[(1,fb)],x);return l+a/10**16,u+b/10**16
+assert other(lo)[1]<1<other(hi)[0]
+root.update(source_template_sha256=g['template_sha256'],two_exact_engines=True)
+Path('BIT-PRICE.json').write_text(json.dumps(root,indent=2)+'\n')
+print('PASS two rational bit moments',root['lower'])
diff --git a/research/early-reset-source-banks/vendor/pr433/code/combined.py b/research/early-reset-source-banks/vendor/pr433/code/combined.py
new file mode 100644
index 0000000000..4131327bce
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/combined.py
@@ -0,0 +1,55 @@
+"""Fresh bit finite invoice and joint strict arithmetic for two changed suppliers.
+icekylinx, with Codex assistance. Inherited all-size interfaces remain conditional.
+"""
+import json,hashlib,importlib.util
+from pathlib import Path
+from fractions import Fraction as Q
+import os
+ROOT=Path(os.environ['E8_OUTPUT']);D=ROOT/'bit426-source-centres/global';C=ROOT/'split-centres'
+read=lambda p:json.loads(p.read_text())
+g=read(D/'GLOBAL.json');geo=read(D/'GEOMETRY.json');audit=read(D/'AUDIT.json')
+cx=read(C/'INTEGRATION.json');ca=read(C/'INDEPENDENT-REPLAY.json')
+assert audit['template_sha256']==g['template_sha256'] and ca['template_sha256']==cx['global_template_sha256']
+assert len(audit['mutations_rejected'])==8 and len(ca['mutation_controls_rejected'])==7
+P={int(r):z for r,z in audit['profile'].items()};m,W=64,14502;E=sum(P.values());T,L,R,V,K=8,9,758,120,4
+mass=sum(r*z for r,z in P.items());assert m*W-mass==2496 and g['live']==W
+physical=g['physical'];d=m*m;N=2*m
+unit=L*T*g['local_additions']+g['bridge_additions']
+J=8*T*L*(2*V+R)+8*(2*K*V*T)+2*g['bank_assignments']+2*g['copy_erase_episodes']
+high=16*(d+1)**2;good=8*m*m+8;compiler=128*N**3
+selectors=2*L*T*((W-1)+R*m*(geo['max_route_factors']+(m-1)+m))
+prefix=int(g['global_prefix_bound']);assert prefix<1<<256
+coefficient=unit+J*high+J*physical+E*(good+compiler)+16*m**3+g['copy_erase_episodes']+selectors+prefix+1
+two=(coefficient+1)**2*(E+1)**2
+assert two<1<<512 and 2*max(P)**2<m*m
+row=2*(m*m+1)+9909+252;assert row==18355<20161
+assert geo['bad_prime_factors']==[2] and geo['route_denominators']==[1,2,4]
+def load(name):
+ p=ROOT/'work/pr361/code/engines'/(name+'.py');sp=importlib.util.spec_from_file_location('joint_'+name,p);mod=importlib.util.module_from_spec(sp);sp.loader.exec_module(mod);return mod
+M,Other,Outer=load('moment'),load('base_two_moment'),load('outer')
+root=M.certify(P,m,W,True);c=Q(root['lower']);grid=Q(1,10**18);b=Q(ca['complex_b'])
+fb=32*m*m*E
+lo,hi=Other.moment(m,W,list(P.items()),c);bl,bh=Other.moment(m,W,[(1,fb)],c)
+assert hi+bh/10**16<1
+eta=beta=Q(1,10**18);s=min(c,(1-beta)*b)-Q(1,10**24)
+assert 0<s<c and s<(1-beta)*b
+chain=[Q(384599,10**10)];cutoffs=[]
+def ceil(x):return -((-x.numerator)//x.denominator)
+for j in range(6):
+ old=chain[-1];a=(1-s)*s+s*old
+ gap=min(s-a,1-a-s,1-a-s*(1-old),1-s);assert old<a<s<1-a and gap>0
+ cutoff=max(ceil(36/gap**2),ceil(2*(4+512)/gap))
+ assert cutoff*gap**2>=36 and cutoff*gap>=2*(4+512)
+ cutoffs.append(dict(gap=str(gap),cutoff_log2=str(cutoff)));chain.append(a)
+q=chain[-1]*(1-2*eta);margin=(1-eta)*q/(1+q);ticks=margin/grid;k=grid*((ticks.numerator-1)//ticks.denominator)
+bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},'rows':{'degree_gap':Q(10**6)-Q(51*20161,25)}}
+a=Outer.assembly(chain[-1],b,bridge,k,eta=eta,beta=beta)
+assert len(a['strict_constraints'])==47 and all(x>0 for x in a['strict_constraints'].values())
+controls=[]
+for name,kk,ee,bb in [('next_grid',k+grid,eta,beta),('zero_eta',k,Q(0),beta),('zero_beta',k,eta,Q(0)),('unit_beta',k,eta,Q(1))]:
+ try:Outer.assembly(chain[-1],b,bridge,kk,eta=ee,beta=bb)
+ except AssertionError:controls.append(name)
+ else:raise AssertionError(name)
+result=dict(status='PASS_CONDITIONAL_SPLIT_CENTRE_ASSEMBLY',kappa=str(k),kappa_decimal=format(float(k),'.18f'),bit_lower=str(c),complex_lower=str(b),binding_component='bit',gain_over_pr425_percent=float(100*(k/Q(1048005508028206,10**18)-1)),bit_invoice=dict(prefix_bits=prefix.bit_length(),charged_prefix_bits=256,coefficient_bits=coefficient.bit_length(),two_level_coefficient_bits=two.bit_length(),charged_two_level_coefficient_bits=512,row_coefficient=row,live=W,physical=physical),strict_outer_constraints={n:str(x) for n,x in a['strict_constraints'].items()},outer_controls=controls,bootstrap=cutoffs,bit_template_sha256=g['template_sha256'],complex_template_sha256=cx['global_template_sha256'],scope='Finite research composition with explicit changed words, exact local and global replay and incremental phase evidence. All-size correlated dirty-bank, compressed-window, compiler, restored-work, tape/common-grid, precision and analytic interfaces remain inherited assumptions. This certificate makes no unconditional integer-multiplication or Lean-kernel claim.')
+(ROOT/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n')
+print(result['status'],result['kappa_decimal'],result['gain_over_pr425_percent'],result['bit_invoice'])
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_audit.py b/research/early-reset-source-banks/vendor/pr433/code/complex_audit.py
new file mode 100644
index 0000000000..ba6789a3a6
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_audit.py
@@ -0,0 +1,168 @@
+# Modified from PR425 by icekylinx with Codex assistance.
+"""Read-back audit, independent of the Hamming producer and its row state."""
+import copy,gzip,hashlib,importlib.util,json,math,time
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+
+OUT=Path('split-centres');p=OUT/'FULL-WORD.json.gz'
+word=json.load(gzip.open(p));v=120;n=240+word['report']['R'];start=time.monotonic()
+def apply(e,rows):
+    if e[0]=='scale':
+        _,t,a,b,*_=e;q=Q(a,b);assert q
+        rows[t]={j:q*x for j,x in rows[t].items()}
+    else:
+        _,t,s,a,b,*_=e;q=Q(a,b);assert t!=s
+        for j,x in list(rows[s].items()):
+            z=rows[t].get(j,Q(0))+q*x
+            if z:rows[t][j]=z
+            else:rows[t].pop(j,None)
+def ident():return [{r:Q(1)} for r in range(n)]
+def inv(e):
+    e=copy.deepcopy(e)
+    if e[0]=='add':e[3]*=-1
+    else:e[2],e[3]=e[3],e[2]
+    return e
+def dual(e):
+    e=inv(e)
+    if e[0]=='add':e[1],e[2]=e[2],e[1]
+    return e
+
+main=word['A']+word['cut']+word['B']
+assert all(not 120<=e[2]<240 for e in word['A']+word['B'] if e[0]=='add' and not 120<=e[1]<240)
+matrix=ident()
+for e in main:apply(e,matrix)
+print('full main columns',n,'replayed',flush=True)
+# Compute -A_Y^-1 B_S using only rows of the explicit main operator.
+dirty=[{} for r in range(n)]
+for r in range(v,2*v):dirty[r]={j:x for j,x in matrix[r].items() if j>=2*v}
+for e in word['precondition']:apply(e,dirty)
+comp=[]
+for r in range(v,2*v):
+    for j,q in sorted(dirty[r].items()):comp.append(['add',r,j,-q.numerator,q.denominator,[]])
+
+cleanup=[inv(e) for e in reversed(word['A']+word['B']) if not v<=e[1]<2*v]
+assert [e[:-1] for e in cleanup]==[e[:-1] for e in word['cleanup']]
+program=word['precondition']+comp+main+cleanup
+actual=ident()
+for e in program:apply(e,actual)
+expected=ident()
+for t in range(v):expected[v+t][t]=Q(1)
+assert actual==expected
+print('PASS exact arbitrary dirt and restored sources/helpers',flush=True)
+back=ident()
+for e in program:apply(dual(e),back)
+expected_back=ident()
+for t in range(v):expected_back[t][v+t]=Q(-1)
+assert back==expected_back
+print('PASS exact inverse-transpose on every column',flush=True)
+# Independent sparse vector controls avoid repeating a dense full replay.
+def vector(es,x):
+    x=list(map(Q,x))
+    for e in es:
+        if e[0]=='scale':x[e[1]]*=Q(e[2],e[3])
+        else:x[e[1]]+=Q(e[3],e[4])*x[e[2]]
+    return x
+sample=[((i*137+13)%101)-50 for i in range(n)]
+want=vector(program,sample)
+controls={
+    'missing_dirty_compensation':word['precondition']+main+cleanup,
+    'missing_Y_inverse_basis':comp+main+cleanup,
+    'missing_source_cleanup':word['precondition']+comp+main,
+    'wrong_dual_event_order':[dual(e) for e in reversed(program)],
+}
+for name,es in controls.items():
+    expected_sample=vector([dual(e) for e in program],sample) if name=='wrong_dual_event_order' else want
+    assert vector(es,sample)!=expected_sample,name
+
+# Orthogonal transvection and a port permutation bring the new geometry onto
+# the already fixed 120-port routing family. Every incidence is transformed.
+old=json.load(gzip.open('work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz'))
+def tau(x):return x^(43 if (x&43).bit_count()%2 else 0)
+assert 43 .bit_count()%2==0
+assert set(map(tau,word['ports']))==set(old['ports'])
+mapping={i:old['ports'].index(tau(q)) for i,q in enumerate(word['ports'])}
+mapping.update({v+i:v+mapping[i] for i in range(v)})
+mapping.update({r:r for r in range(2*v,n)})
+def basis(vs):
+    b={}
+    for x in vs:
+        for k in sorted(b,reverse=True):
+            if x>>k&1:x^=b[k]
+        if x:
+            k=x.bit_length()-1
+            for j in b:
+                if b[j]>>k&1:b[j]^=x
+            b[k]=x
+    return tuple(b[k] for k in sorted(b,reverse=True))
+def perp(x):return basis([z for z in range(1,512) if not (x&z).bit_count()%2])
+full=tuple(1<<i for i in range(8,-1,-1));frames=[(),full];fi={f:i for i,f in enumerate(frames)}
+def fid(f):
+    f=basis(f)
+    if f not in fi:fi[f]=len(frames);frames.append(f)
+    return fi[f]
+def canonical(e):
+    e=copy.deepcopy(e);e[1]=mapping[e[1]]
+    if e[0]=='add':e[2]=mapping[e[2]]
+    if e[-1] is not None:e[-1]=fid([tau(x) for x in e[-1]])
+    return e
+can={key:[canonical(e) for e in word[key]] for key in ('A','B','cut','cleanup','precondition')}
+can['compensation']=[canonical(e) for e in comp]
+can['start']=[fid([q]) for q in old['ports']]+[0]*(v+word['report']['R'])
+can['final']=[1]*v+[fid(perp(q)) for q in old['ports']]+[1]*word['report']['R']
+can['ports']=old['ports'];can['centers']=[mapping[r] for r in word['centers']]
+can['center_frames']=[fid([tau(x) for x in f]) for f in word['center_frames']]
+can['h']=9;can['v']=v;can['R']=word['report']['R'];can['frames']=frames
+cur=list(can['start']);paid=Counter();edges=set();incidences=0
+def climb(r,f):
+    old=cur[r]
+    assert basis(frames[old]+frames[f])==frames[f]
+    if old!=f:
+        delta=len(frames[f])-len(frames[old]);assert delta>0
+        edges.add((old,f));paid[delta]+=1;cur[r]=f
+for part in ('A','B'):
+    if part=='B':
+        assert all(cur[r]==f for r,f in zip(can['centers'],can['center_frames']))
+        assert all(cur[r]==0 for r in range(v,2*v))
+        for f in can['center_frames']:paid[len(frames[f])]+=1
+    for e in can[part]:
+        rs=[e[1]]+([e[2]] if e[0]=='add' else [])
+        for r in rs:climb(r,e[-1]);incidences+=1
+for r,f in enumerate(can['final']):climb(r,f)
+assert dict(paid)=={int(r):x for r,x in word['report']['local_profile'].items()}
+assert sum(r*x for r,x in paid.items())==9*can['R']+240*8+72
+can['local_profile']=dict(sorted(paid.items()));can['edges']=sorted(edges)
+cp=OUT/'CANONICAL-WORD.json.gz';cp.write_bytes(gzip.compress(json.dumps(can,sort_keys=True,separators=(',',':')).encode(),mtime=0))
+
+def engine(name):
+    p=Path('work/pr361/code/engines')/(name+'.py');s=importlib.util.spec_from_file_location('hamming_'+name,p)
+    m=importlib.util.module_from_spec(s);s.loader.exec_module(m);return m
+M,M2=engine('moment'),engine('base_two_moment');m,W=73,12720
+HG={int(r):z for r,z in word['report']['global_profile'].items()}
+root=M.certify(HG,m,W,True);b=Q(int(Q(root['lower'])*10**18),10**18);grid=Q(1,10**18)
+assert M.moment(HG,m,W,b,True)[1]<1<M.moment(HG,m,W,b+grid,True)[0]
+fallback=32*m*m*sum(HG.values())
+def second(a):
+    lo,hi=M2.moment(m,W,list(HG.items()),a)
+    l2,h2=M2.moment(m,W,[(1,fallback)],a)
+    return lo+l2/10**16,hi+h2/10**16
+assert second(b)[1]<1<second(b+grid)[0]
+coeff=Counter(str(Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3])) for e in program)
+report={'status':'PASS_EXACT_SCALAR_AND_FRAME_RESEARCH_CANDIDATE_NOT_YET_ADMITTED',
+        'full_word_sha256':hashlib.sha256(p.read_bytes()).hexdigest(),
+        'canonical_word_sha256':hashlib.sha256(cp.read_bytes()).hexdigest(),
+        'live_columns_each_orientation':n,'arbitrary_helper_columns':can['R'],
+        'all_live_source_and_helper_rows_restored':True,'all_target_rows_correct':True,
+        'negative_controls_rejected':list(controls),'old_response_additions':len(comp),
+        'complete_forward_scalar_operations':len(program),'coefficient_histogram':dict(coeff),
+        'frames':len(frames),'nested_directed_edges':len(edges),'common_frame_incidences':incidences,
+        'orthogonal_transport_vector':43,'transported_ports_exactly_match_fixed_routes':True,
+        'local_profile':dict(sorted(paid.items())),
+        'prospective_complex_b':str(b),'prospective_b_float':float(b),
+        'prospective_gain_percent':float(100*(b/Q(999388595603943,10**18)-1)),
+        'two_rational_moment_engines':True,'next_b_grid_rejected':True,
+        'remaining':['new general scalar-interface proof integration','exact phase and emitted local/global program','finite invoice and outer assembly'],
+        'scope':'Substantial new scalar-network candidate. All parameter values remain prospective until the expanded scalar interface and complete phase-aware supplier are admitted.',
+        'seconds':time.monotonic()-start}
+(OUT/'SCALAR-FRAME-AUDIT.json').write_text(json.dumps(report,indent=2)+'\n')
+print('PASS prospective b',float(b),'gain',report['prospective_gain_percent'],'percent; seconds',report['seconds'],flush=True)
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_construct.py b/research/early-reset-source-banks/vendor/pr433/code/complex_construct.py
new file mode 100644
index 0000000000..bbc61e57dc
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_construct.py
@@ -0,0 +1,278 @@
+# Modified from PR425 by icekylinx with Codex assistance.
+"""Full discovery word for Hamming packets with borrowed X and Y registers.
+
+This changes the scalar architecture. It is not accepted by the old restricted
+gx interface: source bases may change until full-frame cleanup, and targets use
+an explicitly inverted output basis. No supplier admission is asserted.
+"""
+import copy,gzip,json,math,time
+import itertools as it
+from collections import Counter,defaultdict
+from fractions import Fraction as Q
+from pathlib import Path
+
+INPUT=Path('work/complex-network/hamming');OUT=Path('split-centres');OUT.mkdir(exist_ok=True);D=json.loads((INPUT/'PROTOTYPE.json').read_text())
+P=D['binary_ports'];R=D['root_lines'];v=120;h=9
+modules=json.load(gzip.open(INPUT/'PACKET-PROGRAMS.json.gz'))
+
+def basis(vectors):
+    b={}
+    for x in vectors:
+        for p in sorted(b,reverse=True):
+            if x>>p&1:x^=b[p]
+        if x:
+            p=x.bit_length()-1
+            for q in b:
+                if b[q]>>p&1:b[q]^=x
+            b[p]=x
+    return tuple(b[p] for p in sorted(b,reverse=True))
+def inside(a,b):return basis(a+b)==b
+def hyper(p):return basis([x for x in range(1,512) if (x&p).bit_count()%2==0])
+FULL=basis([1<<i for i in range(9)])
+G=[[sum(x*y for x,y in zip(a,b))//2 for b in R] for a in R]
+blocks={tuple(z['receipt']['block']):z for z in modules}
+frame={next(i for i,x in enumerate(r) if x):s for s,r in enumerate(R) if sum(x!=0 for x in r)==1}
+cur=[(p,) for p in P]+[()]*v;rows=[{r:Q(1)} if r<v else {} for r in range(2*v)]
+A=[];B=[];H=Counter();by={k:Counter() for k in 'xysc'};phase=A
+
+def alloc():
+    n=len(cur);cur.append(());rows.append({});return n
+def climb(r,F):
+    assert inside(cur[r],F),('frame violation',r,cur[r],F)
+    dr=len(F)-len(cur[r])
+    if dr:H[dr]+=1;by['x' if r<v else 'y' if r<2*v else 's'][dr]+=1
+    cur[r]=F
+def add(t,s,q,F):
+    assert t!=s;q=Q(q)
+    if not q:return
+    climb(t,F);climb(s,F);phase.append(['add',t,s,q.numerator,q.denominator,list(F)])
+    for j,x in list(rows[s].items()):
+        z=rows[t].get(j,Q(0))+q*x
+        if z:rows[t][j]=z
+        else:rows[t].pop(j,None)
+def scale(t,q,F):
+    q=Q(q);assert q
+    if q==1:return
+    climb(t,F);phase.append(['scale',t,q.numerator,q.denominator,list(F)])
+    rows[t]={j:q*x for j,x in rows[t].items()}
+def swap(a,b,F):
+    if a==b:return
+    add(a,b,1,F);add(b,a,-1,F);add(a,b,1,F);scale(b,-1,F)
+def linear(regs,M,F):
+    """Apply an invertible rational square matrix by elementary operations."""
+    n=len(regs);a=[list(map(Q,row)) for row in M];undo=[]
+    for col in range(n):
+        k=next(i for i in range(col,n) if a[i][col])
+        if k!=col:a[k],a[col]=a[col],a[k];undo.append(('swap',k,col))
+        q=a[col][col]
+        if q!=1:a[col]=[x/q for x in a[col]];undo.append(('scale',col,1/q))
+        for i in range(n):
+            if i==col or not a[i][col]:continue
+            q=-a[i][col];a[i]=[x+q*y for x,y in zip(a[i],a[col])];undo.append(('add',i,col,q))
+    assert a==[[Q(i==j) for j in range(n)] for i in range(n)]
+    old=[dict(rows[r]) for r in regs]
+    for op in reversed(undo):
+        if op[0]=='swap':swap(regs[op[1]],regs[op[2]],F)
+        elif op[0]=='scale':scale(regs[op[1]],1/op[2],F)
+        else:add(regs[op[1]],regs[op[2]],-op[3],F)
+    for i,r in enumerate(regs):
+        expected=defaultdict(Q)
+        for j,q in enumerate(M[i]):
+            for k,x in old[j].items():expected[k]+=q*x
+        assert rows[r]=={k:x for k,x in expected.items() if x}
+
+# All original-source loads precede source borrowing.
+own={};fl={}
+for c,z in sorted(blocks.items()):
+    ids=z['receipt']['source_lines']
+    for s in ids:
+        own[s]=alloc();add(own[s],s,1,(P[s],))
+
+packets={};retired={}
+for c,z in sorted(blocks.items()):
+    ids=z['receipt']['source_lines'];mp={i:s for i,s in enumerate(ids)}
+    mp.update({i:alloc() for i in range(8,24)})
+    for e,F in zip(z['events'],z['event_frames']):
+        t,s,a,b=e;add(mp[t],mp[s],Q(a,b),tuple(F))
+    keys=[(p,epsilon) for p in it.combinations(c,2) for epsilon in (-1,1)]
+    for key,(reg,alpha) in zip(keys,z['outputs']):
+        a=mp[reg];alpha=Q(alpha);F=cur[a]
+        b=alloc();add(b,a,1,F)
+        consumers=sorted(d for d in blocks if d!=c and set(key[0])<=set(d))
+        assert len(consumers)==2
+        for target,rr in zip(consumers,(a,b)):packets[c,key[0],key[1],target]=(rr,alpha)
+    retired[c]=[mp[r] for r in z['dead_registers']]
+
+# Four coordinate sums per code block, reconstructed in the retired register
+# stock at its legal rank-four frame. The remaining eight rows retain a basis.
+block_totals={}
+for c,z in sorted(blocks.items()):
+    ids=z['receipt']['source_lines'];regs=retired[c];F=basis([P[s] for s in ids])
+    assert len(regs)==12 and len(F)==4
+    for col,s in enumerate(ids):
+        k=next(i for i in range(col,len(regs)) if rows[regs[i]].get(s,Q(0)))
+        swap(regs[k],regs[col],F)
+        scale(regs[col],1/rows[regs[col]][s],F)
+        for i in range(len(regs)):
+            if i!=col and rows[regs[i]].get(s,Q(0)):add(regs[i],regs[col],-rows[regs[i]][s],F)
+    assert all(rows[regs[i]]=={s:Q(1)} for i,s in enumerate(ids))
+    assert all(not rows[r] for r in regs[8:])
+    for i,reg in zip(c,regs[8:]):
+        for j,s in enumerate(ids):add(reg,regs[j],R[s][i],F)
+        block_totals[c,i]=reg
+
+# Eight global coordinate sums, with a single copy each for the centers. The
+# other copy is exactly the correction needed by the eight frame-line targets.
+global_totals={};centers=[]
+for i in range(8):
+    regs=[block_totals[c,i] for c in sorted(blocks) if i in c]
+    F=hyper(P[frame[i]]);a=regs[0]
+    for b in regs[1:]:add(a,b,1,F)
+    global_totals[i]=a
+    centers.append(a)
+centers += [frame[i] for i in range(8)]
+center_frames=[cur[r] for r in centers]
+assert list(map(len,center_frames))==[8]*8+[1]*8
+
+# Own-block and coordinate-frame corrections, one stream per code target.
+own_out={};tetrads={}
+for c,z in sorted(blocks.items()):
+    ids=z['receipt']['source_lines']
+    tet=[sorted(s for s in ids if sum(R[s][i]<0 for i in c)%2==parity) for parity in (0,1)]
+    tetrads[c]=tet
+    for parity,targets in enumerate(tet):
+        sources=tet[1-parity];xs=[own[s] for s in sources]
+        F=basis([P[s] for s in sources]);linear(xs,[[G[t][s] for s in sources] for t in targets],F)
+        for t,x in zip(targets,xs):own_out[t]=x
+
+# Cross-block M packets, shared by four targets, then two-output pair transforms.
+Ms={};consumers=defaultdict(list);pairs=[]
+for c in sorted(blocks):
+    for p in it.combinations(c,2):
+        ds=sorted(d for d in blocks if d!=c and set(p)<=set(d))
+        for epsilon in (-1,1):
+            (a,alpha),(b,beta)=[packets[d,p,epsilon,c] for d in ds]
+            F=basis(cur[a]+cur[b]);add(a,b,beta/alpha,F)
+            Ms[c,p,epsilon]=(a,alpha)
+    i,j,k,l=c;partitions=[((i,j),(k,l)),((i,k),(j,l)),((i,l),(j,k))]
+    for parity,tet in enumerate(tetrads[c]):
+        for pi,(p,q) in enumerate(partitions):
+            groups=defaultdict(list)
+            for t in tet:groups[R[t][p[0]]*R[t][p[1]]].append(t)
+            for eps,ts in sorted(groups.items()):
+                assert len(ts)==2;a,b=sorted(ts)
+                e2=R[a][q[0]]*R[a][q[1]]
+                assert e2==R[b][q[0]]*R[b][q[1]]
+                keys=[(c,p,eps),(c,q,e2)];pid=len(pairs)
+                selected=(pi==parity)  # different first partitions in the two tetrads
+                pairs.append({'targets':(a,b),'keys':keys,'selected':selected,
+                              'matrix':[[R[t][p[0]],R[t][q[0]]] for t in (a,b)]})
+                for key in keys:consumers[key].append(pid)
+slots={}
+for key,uses in sorted(consumers.items()):
+    assert len(uses)==2
+    a,alpha=Ms[key];ordinary=[i for i in uses if not pairs[i]['selected']]
+    for j,pid in enumerate(ordinary):
+        if j==0:r=a
+        else:r=alloc();add(r,a,1,cur[a])
+        slots[pid,key]=(r,alpha)
+
+assert len(cur)-240==560,(len(cur)-240)
+
+# The selected target pairs borrow Y as the first packet destination. Their
+# two-shear output basis is compensated at frame zero and in the scatter table.
+phase=B;selected=[];output_basis=[]
+for pid,pair in enumerate(pairs):
+    if not pair['selected']:continue
+    (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix']
+    (a,alpha),(b,beta)=Ms[key1],Ms[key2]
+    add(v+t,a,-Q(mat[0][0],2)*alpha,cur[a])
+    add(v+u,b,-Q(mat[0][1],2)*beta,cur[b])
+    selected.append((pid,t,u,mat))
+for pid,t,u,mat in selected:
+    F=basis(cur[v+t]+cur[v+u]);assert all((P[s]&p).bit_count()%2==0 for s in (t,u) for p in F)
+    add(v+t,v+u,1,F);add(v+u,v+t,-Q(1,2),F)
+    z=-Q(2*mat[1][0],mat[0][0]);scale(v+u,z,F)
+    output_basis.append((t,u,z))
+
+for pid,pair in enumerate(pairs):
+    if pair['selected']:continue
+    (t,u),(key1,key2),mat=pair['targets'],pair['keys'],pair['matrix']
+    (a,alpha),(b,beta)=slots[pid,key1],slots[pid,key2]
+    F=basis(cur[a]+cur[b]);aa,ab=Q(mat[0][0])*alpha,Q(mat[0][1])*beta
+    ba,bb=Q(mat[1][0])*alpha,Q(mat[1][1])*beta
+    add(a,b,ab/aa,F);q=ba/(bb-ba*ab/aa);add(b,a,q,F)
+    add(v+t,a,-aa/2,hyper(P[t]));add(v+u,b,-(bb-ba*ab/aa)/2,hyper(P[u]))
+for t,r in own_out.items():add(v+t,r,-Q(1,2),hyper(P[t]))
+
+side=[dict(rows[v+t]) for t in range(v)]
+for t in range(v):
+    expected={s:-Q(G[t][s],2) for s in range(v) if s!=t and G[t][s] and s not in frame.values()} if t not in frame.values() else {}
+    assert side[t]==expected,('side identity',t)
+
+# Correct the eight-center scatter through the inverse two-output basis.
+scatter=[[Q(r[i],4) if t not in frame.values() else Q(0) for i in range(8)]+[Q(t==frame[i]) for i in range(8)] for t,r in enumerate(R)]
+precondition=[]
+for t,u,z in output_basis:
+    a,b=scatter[t].copy(),scatter[u].copy()
+    scatter[t]=[x/2-y/z for x,y in zip(a,b)]
+    scatter[u]=[x/2+y/z for x,y in zip(a,b)]
+    precondition.extend([['scale',v+u,(1/z).numerator,(1/z).denominator,[]],
+                         ['add',v+u,v+t,1,2,[]],['add',v+t,v+u,-1,1,[]]])
+
+for r in range(len(cur)):climb(r,hyper(P[r-v]) if v<=r<2*v else FULL)
+H[8]+=8;H[1]+=8;by['c'][8]+=8;by['c'][1]+=8
+n=len(cur);Rcount=n-240
+assert sum(r*z for r,z in H.items())==9*Rcount+240*8+72
+
+def apply(event,matrix):
+    if event[0]=='add':
+        _,t,s,a,b,*_=event;q=Q(a,b)
+        for j,x in list(matrix[s].items()):
+            z=matrix[t].get(j,Q(0))+q*x
+            if z:matrix[t][j]=z
+            else:matrix[t].pop(j,None)
+    else:
+        _,t,a,b,*_=event;q=Q(a,b);matrix[t]={j:q*x for j,x in matrix[t].items()}
+def inverse(e,F=None):
+    e=copy.deepcopy(e)
+    if e[0]=='add':e[3]*=-1
+    else:e[2],e[3]=e[3],e[2]
+    if F is not None:e[-1]=list(F)
+    return e
+cut=[]
+for t,rr in enumerate(scatter):
+    for i,q in enumerate(rr):
+        if q:cut.append(['add',v+t,centers[i],q.numerator,q.denominator,None])
+cleanup=[inverse(e,FULL) for e in reversed(A+B) if not v<=e[1]<2*v]
+
+# Exact clean replay checks the changed decoder and restored source basis.
+matrix=[{r:Q(1)} if r<v else {} for r in range(n)]
+for e in A+cut+B+cleanup:apply(e,matrix)
+assert all(matrix[r]==({r:Q(1)} if r<v else {r-v:Q(1)} if r<2*v else {}) for r in range(n))
+
+m=73;T=8;L=9;W=7680+L*Rcount;globalH=Counter({r:z*L*T for r,z in H.items()})
+for r in (16,8,32,8,48,8,48,32,16):globalH[r]+=240*T
+globalH[1]+=L*Rcount
+assert m*W-sum(r*z for r,z in globalH.items())==2496
+low,high=0.,.003
+for _ in range(60):
+    q=(low+high)/2
+    moment=sum(r*z/(m*W)*(m/r)**q for r,z in globalH.items())+32*m*sum(globalH.values())/(10**16*W)*m**q
+    if moment<1:low=q
+    else:high=q
+report={'status':'EXACT_CLEAN_FULL_WORD_DISCOVERY_NOT_ADMITTED',
+        'h':9,'v':120,'R':Rcount,'cst':72,'local_profile':dict(sorted(H.items())),
+        'global_profile':dict(sorted(globalH.items())),'m':m,'W':W,
+        'complex_coarse_float':(low+high)/2,'baseline_b':0.000999388595603943,
+        'gain_percent_float':100*((low+high)/2/0.000999388595603943-1),
+        'scalar_operations_A':len(A),'scalar_operations_B':len(B),
+        'borrowed_output_pairs':len(output_basis),'centre_ranks':list(map(len,center_frames)),'source_columns_exact':120,
+        'source_and_helper_cleanup_exact_on_clean_columns':True,
+        'retained_center_rows_exact':True,
+        'remaining':['full arbitrary-dirt program and independent replay','exact complex phases and global template','finite invoice and coefficient lowering','two rational prices and outer assembly']}
+full={'report':report,'ports':P,'root_lines':R,'A':A,'B':B,'centers':centers,'scatter':[[str(x) for x in r] for r in scatter],
+      'cut':cut,'cleanup':cleanup,'precondition':precondition,'center_frames':center_frames}
+(OUT/'FULL-WORD.json.gz').write_bytes(gzip.compress(json.dumps(full,sort_keys=True,separators=(',',':')).encode(),mtime=0))
+(OUT/'FULL-DISCOVERY.json').write_text(json.dumps(report,indent=2)+'\n')
+print(json.dumps(report,indent=2),flush=True)
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_emit.py b/research/early-reset-source-banks/vendor/pr433/code/complex_emit.py
new file mode 100644
index 0000000000..e5fe7b3489
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_emit.py
@@ -0,0 +1,136 @@
+# Adapted from PR425 by icekylinx with Codex assistance.
+"""Emit both local programs, integrate the fixed nine-stage geometry, and bill.
+
+The expanded scalar interface is justified in PROOF.txt. This script does not
+claim a Lean proof or discharge the inherited all-size/analytic interfaces.
+"""
+import copy,gzip,hashlib,importlib.util,json,math
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+
+OUT=Path('split-centres');cp=OUT/'CANONICAL-WORD.json.gz'
+c=json.load(gzip.open(cp))
+frames=c['frames'];v,R,h=c['v'],c['R'],c['h'];n=2*v+R
+def digest(x):return hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest()
+def basis(vs):
+    b={}
+    for x in vs:
+        for p in sorted(b,reverse=True):
+            if x>>p&1:x^=b[p]
+        if x:
+            p=x.bit_length()-1
+            for q in b:
+                if b[q]>>p&1:b[q]^=x
+            b[p]=x
+    return tuple(b[p] for p in sorted(b,reverse=True))
+def dual(e):
+    e=list(e)
+    if e[0]=='add':e[1],e[2]=e[2],e[1];e[3]*=-1
+    else:e[2],e[3]=e[3],e[2]
+    return e
+def scalar(e,back):
+    e=dual(e) if back else list(e)
+    if e[0]=='add':return ['add',['L',e[1]],['L',e[2]],e[3],e[4]]
+    return ['scale',['L',e[1]],e[2],e[3]]
+def primitive_bound(e):
+    if e[0] in ('clear','copy'):return 1
+    q=Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3])
+    a,b=abs(q.numerator),q.denominator
+    assert b&(b-1)==0
+    if e[0]=='scale':
+        assert a&(a-1)==0
+        return abs(a.bit_length()-b.bit_length())+int(q<0)
+    # Exact binary Horner multiplication on a cleared private stream, repeated
+    # halving, signed accumulation into the target, then clear the private stream.
+    return 3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1)
+
+def emit(back):
+    out=[];cur=c['start'].copy()
+    def event(e):out.append(e)
+    def scal(e,f):event(['scalar',e,f])
+    event(['phase','zero_frame_precondition'])
+    for e in c['precondition']+c['compensation']:
+        regs=[e[1]]+([e[2]] if e[0]=='add' else [])
+        assert all(c['start'][r]==0 for r in regs)
+        scal(scalar(e,back),0)
+    event(['phase','entry_adapters'])
+    for r,f in enumerate(c['start']):event(['adapter','old_to_new',r,f])
+    def climb(r,f,part):
+        old=cur[r]
+        if old==f:return
+        assert basis(frames[old]+frames[f])==tuple(frames[f])
+        rank=len(frames[f])-len(frames[old]);assert rank>0
+        event(['climb',part,r,old,f,rank]);cur[r]=f
+    for part in ('A','centers','B','final'):
+        event(['phase',part])
+        if part in ('A','B'):
+            for e in c[part]:
+                regs=[e[1]]+([e[2]] if e[0]=='add' else [])
+                for r in regs:climb(r,e[-1],part)
+                scal(scalar(e,back),e[-1])
+        elif part=='centers':
+            assert all(cur[r]==0 for r in range(v,2*v))
+            for k,r in enumerate(c['centers']):
+                cf=c['center_frames'][k];rank=len(frames[cf]);assert cur[r]==cf
+                C=['C',k];scal(['clear',C],0 if back else cf)
+                terms=[e for e in c['cut'] if e[2]==r]
+                if back:
+                    for e in terms:scal(['add',C,['L',e[1]],e[3],e[4]],0)
+                else:scal(['copy',C,['L',r]],cf)
+                event(['center',k,0 if back else cf,cf if back else 0,rank])
+                if back:scal(['add',['L',r],C,-1,1],cf)
+                else:
+                    for e in terms:scal(['add',['L',e[1]],C,e[3],e[4]],0)
+                scal(['clear',C],cf if back else 0)
+        else:
+            for r,f in enumerate(c['final']):climb(r,f,part)
+    event(['phase','exit_adapters'])
+    for r,f in enumerate(c['final']):event(['adapter','new_to_old',r,f])
+    event(['phase','full_frame_cleanup'])
+    for e in c['cleanup']:
+        regs=[e[1]]+([e[2]] if e[0]=='add' else [])
+        assert all(c['final'][r]==1 for r in regs)
+        scal(scalar(e,back),1)
+    event(['phase','done'])
+    return out
+
+def check_local(events,back):
+    # Literal scalar replay of the emitted stream, including center lifetimes.
+    state={('L',r):{r:Q(1)} for r in range(n)};live=[];paid=Counter();prims=0;macros=0
+    for e in events:
+        if e[0]=='climb':assert not live;paid[e[5]]+=1
+        elif e[0]=='center':assert live==[e[1]];paid[e[4]]+=1
+        elif e[0]=='scalar':
+            op=e[1];tag=op[0];t=tuple(op[1]);macros+=1;prims+=2*primitive_bound(op)
+            if tag=='clear':
+                state[t]={}
+                if t[0]=='C' and t[1] in live:live.remove(t[1])
+            elif tag=='copy':state[t]=dict(state.get(tuple(op[2]),{}));live.append(t[1])
+            elif tag=='scale':state[t]={j:Q(op[2],op[3])*x for j,x in state[t].items()}
+            else:
+                s=tuple(op[2]);q=Q(op[3],op[4]);row=state.setdefault(t,{})
+                if t[0]=='C' and t[1] not in live:live.append(t[1])
+                for j,x in list(state.get(s,{}).items()):
+                    z=row.get(j,Q(0))+q*x
+                    if z:row[j]=z
+                    else:row.pop(j,None)
+    assert not live and all(not row for r,row in state.items() if r[0]=='C')
+    for r in range(n):
+        expected={r:Q(1)}
+        if back and r<v:expected[v+r]=Q(-1)
+        elif not back and v<=r<2*v:expected[r-v]=Q(1)
+        assert state['L',r]==expected,('emitted column mismatch',back,r)
+    assert dict(paid)=={int(r):z for r,z in c['local_profile'].items()}
+    return {'sha256':digest(events),'events':len(events),'scalar_macros':macros,
+            'real_component_primitive_bound':prims,'paid_profile':dict(sorted(paid.items())),
+            'all_columns':n,'private_centers_cleared':True,'private_coefficient_stream_cleared_after_each_macro':True}
+
+programs={};checks={}
+for name,back in [('forward',False),('backward',True)]:
+    programs[name]=emit(back);checks[name]=check_local(programs[name],back)
+    print('PASS emitted',name,checks[name]['events'],'events',flush=True)
+
+
+(OUT/'LOCAL-PROGRAMS.json.gz').write_bytes(gzip.compress(json.dumps(programs,sort_keys=True,separators=(',',':')).encode(),mtime=0))
+(OUT/'LOCAL-CHECKS.json').write_text(json.dumps(checks,indent=2)+'\n')
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_integrate.py b/research/early-reset-source-banks/vendor/pr433/code/complex_integrate.py
new file mode 100644
index 0000000000..ffa5c036d7
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_integrate.py
@@ -0,0 +1,109 @@
+# Adapted from PR425 for heterogeneous centres by icekylinx, with Codex assistance.
+import copy,gzip,hashlib,importlib.util,json,math
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+OUT=Path('split-centres');cp=OUT/'CANONICAL-WORD.json.gz'
+c=json.load(gzip.open(cp));audit=json.loads((OUT/'SCALAR-FRAME-AUDIT.json').read_text())
+phase=json.loads((OUT/'CLIFFORD-REVIEW.json').read_text());sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest()
+assert phase['canonical_word_sha256']==audit['canonical_word_sha256']==sha(cp)
+assert phase['all_child_equalities_include_global_phase']
+programs=json.load(gzip.open(OUT/'LOCAL-PROGRAMS.json.gz'));checks=json.loads((OUT/'LOCAL-CHECKS.json').read_text())
+frames=c['frames'];v,R,h=c['v'],c['R'],c['h'];n=2*v+R;private_centres=len(c['centers'])
+for z in checks.values():z['paid_profile']={int(r):n for r,n in z['paid_profile'].items()}
+old=Path('work/complex-nine-native');template=json.load(gzip.open(old/'GLOBAL-TEMPLATE.json.gz'))
+data_phase=json.loads((old/'DATA-PHASES.json').read_text())
+assert template['exact_data_phase_recipe_sha256']==sha(old/'DATA-PHASES.json')
+assert data_phase['status']=='PASS_EXACT_Z4_DATA_ROUTE_IDLE_AND_TERMINAL_PHASES'
+m,T,L,k=73,8,9,4;W=2*v*k*T+L*R;physical=W+R+private_centres+2
+template['version']='hamming-mutable-basis-nine-v1';template['live']=W;template['physical']=physical
+template['local_programs']=programs;paid=Counter();assignments=set();event_count=0;scalar_primitives=0
+for call in template['calls']:
+    stage,rep,pair=call['stage'],call['replica'],call['pair'];ori=call['orientation']
+    owners=[[rep*2*k*v+(2*pair+r//v)*v+r%v,[1,stage,r%v]] for r in range(2*v)]
+    for r in range(R):
+        z=rep*R+r;bank,slot=divmod(z,T);owners.append([2*v*k*T+stage*R+bank,[2,slot]])
+        assignments.add((stage,rep,r,bank,slot))
+    assert len(owners)==n and len({(f,tuple(route)) for f,route in owners})==n
+    assert all(f<W for f,route in owners)
+    call['owners']=owners;call['local_program_sha256']=checks[ori]['sha256']
+    for r,z in checks[ori]['paid_profile'].items():paid[r]+=z
+    event_count+=checks[ori]['events'];scalar_primitives+=checks[ori]['real_component_primitive_bound']
+assert len(assignments)==L*T*R and len(template['calls'])==72
+for item in template['idle_children']:paid[item['rank']]+=item['replicas']
+paid[1]+=L*R
+assert dict(paid)=={int(r):z for r,z in json.load(gzip.open(OUT/'FULL-WORD.json.gz'))['report']['global_profile'].items()}
+mass=sum(r*z for r,z in paid.items());assert m*W-mass==2496
+template['bank_padding']['families']=list(range(7680,W))
+template['cover_final_correction']['families']=[0,W]
+template['cover_final_correction']['charged_calls_per_cover']=W
+for e in template['execution_schedule']:
+    if e['kind']=='bank_padding_cover_sweep':e['families']=[7680,W]
+    elif e['kind']=='translate_every_live_family':e.update(template['cover_final_correction'])
+template['private_namespace']={'centers':[W,W+private_centres],'reserved_tableau':[W+private_centres,W+private_centres+R],
+                               'coefficient':[physical-2,physical]}
+template['exact_local_clifford_recipe_sha256']=sha(OUT/'CLIFFORD-RECIPES.json')
+template['expanded_scalar_interface']='See PROOF.txt: mutable source basis, frame-zero output preconditioner, explicit dirty compensator, and full-frame inverse source/helper cleanup.'
+blob=json.dumps(template,sort_keys=True,separators=(',',':')).encode()
+(OUT/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(blob,mtime=0))
+
+# Fresh finite overcharge, with the changed stock, scalar counts, coefficient
+# lowering, and private work reserve. No unchanged local invoice is assumed.
+compiler=64*(m+1)**3;macros=max(z['scalar_macros'] for z in checks.values());children=sum(checks['forward']['paid_profile'].values())
+adapters=16*(macros+children+n+private_centres)+64*m
+local_bound=max(z['real_component_primitive_bound'] for z in checks.values())+adapters*compiler
+bridges=[e for e in template['recipe'] if e['kind']=='bridge'];bridge_adds=2*v*T*len(bridges)
+terminal_shifts=k*v*T;terminal_moves=2*k*v*T
+nonlocal_items=4*v*T*L+2*v*T*L+2*L*T*R+sum(e['replicas'] for e in template['idle_children'])+L*R+bridge_adds+terminal_shifts+terminal_moves+W+physical
+outside=8*nonlocal_items+64*m
+pervertex=scalar_primitives+bridge_adds+terminal_shifts+terminal_moves+W+(72*adapters+outside)*compiler+64*physical
+r=m//2;group=2**(r*r)*math.prod(2**(2*i)-1 for i in range(1,r+1));stock=group*physical
+smass=group*mass;logical=group*pervertex+64;router=compiler*(logical+1)*(stock+1)**2
+GG,EE,C0=1<<30000,1<<100000,1<<210000;BB=smass+EE
+literal=2*GG*stock**2+8*smass+4*stock+4+32*m
+maxchild=max(paid);depth=2;assert m**depth>2*maxchild**depth
+assert local_bound<1<<48 and logical<1<<6050 and router<GG and literal<EE and BB<1<<100001
+assert 32*m*BB*BB<C0 and 2*BB+18<C0
+row=depth*stock.bit_length()+9909+252;assert row<20161
+
+def load(name):
+    sp=importlib.util.spec_from_file_location('hamming_integrate_'+name,Path('work/pr361/code/engines')/(name+'.py'))
+    mod=importlib.util.module_from_spec(sp);sp.loader.exec_module(mod);return mod
+Outer=load('outer');b=Q(audit['prospective_complex_b']);bit=Q(json.loads(Path('BIT-PRICE.json').read_text())['lower'])
+eta=Q(1,10**12);beta=Q(1,10**9);grid=Q(1,10**18)
+s=Q(int(((1-beta)*min(b,bit)-grid)*10**18),10**18);assert s<bit
+chain=[Q(384599,10**10)];cutoffs=[]
+for _ in range(3):
+    a=chain[-1];z=(1-s)*s+s*a;gap=min(s-z,1-z-s,1-z-s*(1-a),1-s)
+    assert a<z<s<1-z and gap>0
+    bound=max(math.ceil(36/gap**2),math.ceil(2*(4+512)/gap))
+    assert bound*gap**2>=36 and bound*gap>=2*(4+512)
+    cutoffs.append(str(bound));chain.append(z)
+bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},
+        'rows':{'degree_gap':Q(10**6)-Q(51*20161,25)}}
+q=chain[-1]*(1-2*eta);ticks=(1-eta)*q/(1+q)/grid;kap=Q((ticks.numerator-1)//ticks.denominator,10**18)
+assembly=Outer.assembly(chain[-1],b,bridge,kap,eta=eta,beta=beta)
+try:Outer.assembly(chain[-1],b,bridge,kap+grid,eta=eta,beta=beta)
+except AssertionError:pass
+else:raise AssertionError('next kappa grid accepted')
+result={'status':'PASS_NEW_STRUCTURAL_PROGRAM_AND_FINITE_ASSEMBLY_PENDING_REPLAY',
+        'canonical_word_sha256':sha(cp),'scalar_audit_sha256':sha(OUT/'SCALAR-FRAME-AUDIT.json'),
+        'exact_phase_receipt_sha256':sha(OUT/'CLIFFORD-REVIEW.json'),'global_template_sha256':hashlib.sha256(blob).hexdigest(),
+        'local_program_checks':checks,'R':R,'m':m,'live':W,'physical':physical,
+        'bank_assignments':len(assignments),'rank_mass':mass,'deficit':2496,
+        'global_profile':dict(sorted(paid.items())),'emitted_local_events_all_calls':event_count,
+        'finite_invoice':{'local_primitive_bound':local_bound,'local_adapters':adapters,
+                          'pervertex':pervertex,'physical_stock_bits':stock.bit_length(),
+                          'router_bits':router.bit_length(),'literal_bits':literal.bit_length(),
+                          'physical_row_coefficient':row,'retained_row_coefficient':20161,
+                          'compiler':compiler,'G_exponent':30000,'E_exponent':100000,'C0_exponent':210000,
+                          'required_C0_bits':(32*m*BB*BB).bit_length(),'halving_degree':depth,
+                          'halving_integer_inequality':[m**depth,2*maxchild**depth]},
+        'complex_b':str(b),'bit_c':str(bit),'prospective_kappa':str(kap),'kappa_float':float(kap),
+        'log2_kappa':math.log2(float(kap)),
+        'kappa_gain_percent':float(100*(kap/Q(998390813251625,10**18)-1)),
+        'strict_outer_constraints':{name:str(z) for name,z in assembly['strict_constraints'].items()},
+        'next_kappa_grid_rejected':True,'bootstrap_cutoffs_log2':cutoffs,
+        'scope':'New finite scalar interface with a written conjugation proof, conditional on inherited all-size compiler, precision/tape and analytic transfer. Independent emitted-program replay and fresh package replay still required before final promotion.'}
+(OUT/'INTEGRATION.json').write_text(json.dumps(result,indent=2)+'\n')
+print('PASS prospective kappa',float(kap),'gain',result['kappa_gain_percent'],'percent',flush=True)
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_phases.py b/research/early-reset-source-banks/vendor/pr433/code/complex_phases.py
new file mode 100644
index 0000000000..6f199bc139
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_phases.py
@@ -0,0 +1,22 @@
+"""Bind unchanged exact phase evidence, or regenerate all selected phase pairs."""
+import gzip,hashlib,json,os,subprocess,sys
+from pathlib import Path
+P=Path(__file__).resolve().parent.parent;O=Path('split-centres')
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+c=json.load(gzip.open(O/'CANONICAL-WORD.json.gz'))
+r=json.loads((P/'inputs/complex-phase-receipt.json').read_text())
+raw=gzip.decompress((P/'inputs/complex-phase-recipes.json.gz').read_bytes());recipes=json.loads(raw)
+assert sha(O/'CANONICAL-WORD.json.gz')==r['canonical_word_sha256']
+assert hashlib.sha256(raw).hexdigest()==r['recipe_sha256']
+edges=set(map(tuple,c['edges']))|{(a,b) for f in c['center_frames'] for a,b in ((f,0),(0,f))}
+assert {(z['old'],z['new']) for z in recipes['children']}==edges
+assert len(recipes['children'])==len(edges) and len(recipes['endpoint_adapters'])==240
+for z in recipes['children']:assert z['rank']==abs(len(c['frames'][z['old']])-len(c['frames'][z['new']]))
+if os.environ.get('E8_REPLAY_PHASES')=='1':
+ subprocess.run([sys.executable,'-B',str(P/'code/complex_phases_full.py')],check=True)
+ assert (O/'CLIFFORD-RECIPES.json').read_bytes()==raw
+else:
+ (O/'CLIFFORD-RECIPES.json').write_bytes(raw)
+ r['validation_mode']='Reuse exact phase evidence bound to the unchanged canonical word and recipe hashes'
+ (O/'CLIFFORD-REVIEW.json').write_text(json.dumps(r,indent=2)+'\n')
+print('PASS source-bound phase recipes',len(edges))
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_phases_full.py b/research/early-reset-source-banks/vendor/pr433/code/complex_phases_full.py
new file mode 100644
index 0000000000..b5a5bd64b4
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_phases_full.py
@@ -0,0 +1,39 @@
+# Adapted from PR425 for heterogeneous centres by icekylinx with Codex assistance.
+"""Exact phase-aware lowering of every used edge of the new structural word."""
+import gzip,hashlib,json,sys,time
+from collections import Counter
+from pathlib import Path
+sys.path.insert(0,str(Path('work/odd-stages').resolve()))
+from clifford_exact import *
+
+OUT=Path('split-centres');P=OUT/'CANONICAL-WORD.json.gz'
+c=json.load(gzip.open(P));n=c['h'];frames=c['frames'];start=time.monotonic();ops=[]
+for U in frames:
+    op=canonical_frame(n,U)
+    L=[u|(u<<n) for u in U]+[v<<n for v in nullspace(U,n)]
+    pre=[x|(z<<n) for x,z,p in inverse(op.tab)[n:]]
+    assert rank(L)==n and rank(L+pre)==n
+    assert rank([x for x,z,p in op.tab[n:]])==len(U)
+    ops.append(op)
+edges=set(map(tuple,c['edges']))|{(a,b) for f in c['center_frames'] for a,b in ((f,0),(0,f))};recipes=[];hist=Counter()
+for i,(a,b) in enumerate(sorted(edges)):
+    op=ops[a].adjoint().then(ops[b]);rec,compiled=lower_child(op)
+    assert rec['rank']==abs(len(frames[a])-len(frames[b]))
+    hist[rec['rank']]+=1;recipes.append({'old':a,'new':b,**rec})
+    if i%200==0:print('exact phase edges',i,'/',len(edges),'seconds',time.monotonic()-start,flush=True)
+adapters=[];F=fourier(n)
+for i,q in enumerate(c['ports']):
+    for role,old,f in [('source',cgate(n,q),c['start'][i]),
+                       ('target',cgate(n,q).adjoint().then(F),c['final'][c['v']+i])]:
+        rec,compiled=lower_child(old.adjoint().then(ops[f]));assert rec['rank']==0
+        adapters.append({'port':i,'role':role,'frame':f,**rec})
+raw=json.dumps({'children':recipes,'endpoint_adapters':adapters},sort_keys=True,separators=(',',':')).encode()
+(OUT/'CLIFFORD-RECIPES.json').write_bytes(raw)
+result={'status':'PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES',
+        'canonical_word_sha256':hashlib.sha256(P.read_bytes()).hexdigest(),
+        'frames':len(frames),'directed_edges':len(edges),'ranks':dict(hist),
+        'endpoint_adapters':len(adapters),'all_child_equalities_include_global_phase':True,
+        'recipe_sha256':hashlib.sha256(raw).hexdigest(),'seconds':time.monotonic()-start,
+        'scope':'Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations.'}
+(OUT/'CLIFFORD-REVIEW.json').write_text(json.dumps(result,indent=2)+'\n')
+print('PASS exact local phases',result['seconds'],'seconds',flush=True)
diff --git a/research/early-reset-source-banks/vendor/pr433/code/complex_replay.py b/research/early-reset-source-banks/vendor/pr433/code/complex_replay.py
new file mode 100644
index 0000000000..e9f0490478
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/code/complex_replay.py
@@ -0,0 +1,177 @@
+# Adapted for heterogeneous centres by icekylinx with Codex assistance.
+"""Independent read-back of the serialized local/global instruction stream."""
+import copy,gzip,hashlib,importlib.util,json,math
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+
+OUT=Path('split-centres');P=OUT/'GLOBAL-TEMPLATE.json.gz'
+ir=json.load(gzip.open(P));c=json.load(gzip.open(OUT/'CANONICAL-WORD.json.gz'))
+integration=json.loads((OUT/'INTEGRATION.json').read_text())
+assert hashlib.sha256(gzip.decompress(P.read_bytes())).hexdigest()==integration['global_template_sha256']
+assert c['ports']==json.load(gzip.open('work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz'))['ports']
+v,R,h=c['v'],c['R'],c['h'];n=2*v+R;frames=c['frames']
+def contains(a,b):
+    for x in a:
+        for y in b:
+            if x>>(y.bit_length()-1)&1:x^=y
+        if x:return False
+    return True
+def local(events,back):
+    rows={('L',r):{r:Q(1)} for r in range(n)}
+    norm={('L',r):Q(1) for r in range(n)};prefix=Q(1);cur=c['start'].copy();private={}
+    hist=Counter();phases=[];entry=[];exit=[];centers=[];matrix_hash=hashlib.sha256()
+    allowed=['zero_frame_precondition','entry_adapters','A','centers','B','final','exit_adapters','full_frame_cleanup','done']
+    for event in events:
+        tag=event[0]
+        if tag=='phase':
+            phases.append(event[1]);assert phases==allowed[:len(phases)]
+            if event[1]=='A':assert entry==list(enumerate(c['start']))
+            if event[1]=='centers':assert all(cur[r]==0 for r in range(v,2*v))
+            if event[1]=='full_frame_cleanup':assert cur==c['final'] and exit==list(enumerate(c['final']))
+            assert not private
+        elif tag=='adapter':
+            assert event[3]==(c['start'] if event[1]=='old_to_new' else c['final'])[event[2]]
+            (entry if event[1]=='old_to_new' else exit).append((event[2],event[3]))
+        elif tag=='climb':
+            _,part,r,a,b,rank=event
+            assert not private and phases[-1]==part and cur[r]==a
+            assert contains(frames[a],frames[b]) and rank==len(frames[b])-len(frames[a])>0
+            hist[rank]+=1;cur[r]=b
+        elif tag=='center':
+            _,k,a,b,rank=event
+            assert phases[-1]=='centers' and private=={('C',k):a}
+            cf=c['center_frames'][k];cr=len(frames[cf])
+            assert (a,b,rank)==((0,cf,cr) if back else (cf,0,cr))
+            private['C',k]=b;hist[rank]+=1;centers.append(k)
+        elif tag=='scalar':
+            _,e,f=event;op=e[0];target=tuple(e[1]);source=tuple(e[2]) if op in ('copy','add') else None
+            if target[0]=='C' and op=='clear':
+                assert private.get(target,f)==f
+                private.pop(target,None)
+            else:
+                for r in (target,source):
+                    if r is None:continue
+                    if r[0]=='L':assert cur[r[1]]==f,('common frame',r,cur[r[1]],f)
+                    else:
+                        if r==target and r not in private:private[r]=f
+                        assert private[r]==f
+            if op=='clear':rows[target]={};norm[target]=Q(0)
+            elif op=='copy':rows[target]=dict(rows[source]);norm[target]=norm[source]
+            elif op=='scale':
+                q=Q(e[2],e[3]);a,b=abs(q.numerator),q.denominator
+                assert a&(a-1)==0 and b&(b-1)==0
+                rows[target]={j:q*x for j,x in rows[target].items()};norm[target]*=abs(q)
+            else:
+                q=Q(e[3],e[4]);a,b=abs(q.numerator),q.denominator
+                assert source!=target and b&(b-1)==0
+                # Independent symbolic replay of the cleared coefficient work.
+                w=0
+                for bit in bin(a)[2:]:w=2*w+int(bit)
+                assert Q(w,b)*(1 if q>0 else -1)==q
+                prefix=max(prefix,Q(a)*norm[source])
+                norm[target]=norm.get(target,Q(0))+abs(q)*norm[source]
+                row=rows.setdefault(target,{})
+                for j,x in list(rows[source].items()):
+                    z=row.get(j,Q(0))+q*x
+                    if z:row[j]=z
+                    else:row.pop(j,None)
+            prefix=max(prefix,norm[target])
+        else:raise AssertionError(tag)
+    assert phases==allowed and centers==list(range(len(c['centers']))) and not private
+    assert all(not row for reg,row in rows.items() if reg[0]=='C')
+    for r in range(n):
+        expected={r:Q(1)}
+        if back and r<v:expected[v+r]=Q(-1)
+        elif not back and v<=r<2*v:expected[r-v]=Q(1)
+        assert rows['L',r]==expected
+    # A 192-bit local payload allowance vastly dominates even coefficient work.
+    assert prefix<2**192
+    return hist,{'all_exact_columns':n,'prefix_l1_upper':str(prefix),
+                 'prefix_bits_upper':prefix.numerator.bit_length()-prefix.denominator.bit_length()+1,
+                 'charged_payload_bits':192,'private_work_erased':True}
+
+profiles={};checks={}
+for name in ('forward','backward'):
+    profiles[name],checks[name]=local(ir['local_programs'][name],name=='backward')
+    assert dict(profiles[name])=={int(r):z for r,z in c['local_profile'].items()}
+    print('independent emitted replay PASS',name,flush=True)
+controls=[]
+for name,mut in [
+    ('wrong_scale',lambda es:next(e for e in es if e[0]=='scalar' and e[1][0]=='scale')[1].__setitem__(2,3)),
+    ('missing_center',lambda es:es.pop(next(i for i,e in enumerate(es) if e[0]=='center'))),
+    ('wrong_common_frame',lambda es:next(e for e in es if e[0]=='scalar' and e[2]!=0).__setitem__(2,0)),
+    ('wrong_child_rank',lambda es:next(e for e in es if e[0]=='climb').__setitem__(5,99)),
+]:
+    es=copy.deepcopy(ir['local_programs']['forward']);mut(es)
+    try:local(es,False)
+    except (AssertionError,KeyError):controls.append(name)
+    else:raise AssertionError('mutation accepted: '+name)
+
+def global_check(t):
+    assert t['live']==12720 and t['physical']==13298
+    # Eight data-wire scalar columns, independently recomposed.
+    matrix=[[int(i==j) for j in range(8)] for i in range(8)]
+    for e in t['recipe']:
+        if e['kind']=='local':
+            a=2*e['pair'];b=a+1;dst,src,q=(a,b,-1) if e['reverse'] else (b,a,1)
+            matrix[dst]=[x+q*y for x,y in zip(matrix[dst],matrix[src])]
+        elif e['kind']=='bridge':
+            i,j,q=e['dst'],e['src'],e['coefficient']
+            matrix[2*i]=[x+q*y for x,y in zip(matrix[2*i],matrix[2*j])]
+            matrix[2*j+1]=[x-q*y for x,y in zip(matrix[2*j+1],matrix[2*i+1])]
+        else:
+            assert e['kind']=='terminal';old=copy.deepcopy(matrix)
+            for i in range(4):matrix[2*i]=old[2*i+1];matrix[2*i+1]=[-x for x in old[2*i]]
+    assert matrix==[[int(i==j) for j in range(8)] for i in range(8)]
+    seen=set();hist=Counter();pairs={e['stage']:e for e in t['recipe'] if e['kind']=='local'}
+    for call in t['calls']:
+        stage,rep,pair=call['stage'],call['replica'],call['pair']
+        assert (stage,rep) not in seen;seen.add((stage,rep))
+        assert pair==pairs[stage]['pair']
+        assert call['orientation']==('backward' if pairs[stage]['reverse'] else 'forward')
+        assert len(call['owners'])==800
+        for r,(fam,route) in enumerate(call['owners']):
+            if r<240:assert fam==rep*960+(2*pair+r//120)*120+r%120 and route==[1,stage,r%120]
+            else:
+                z=rep*560+r-240;assert fam==7680+stage*560+z//8 and route==[2,z%8]
+        assert len(set((f,tuple(r)) for f,r in call['owners']))==800
+        for r,z in profiles[call['orientation']].items():hist[r]+=z
+    assert seen=={(s,r) for s in range(9) for r in range(8)}
+    for child in t['idle_children']:hist[child['rank']]+=child['replicas']
+    assert t['bank_padding']=={'families':list(range(7680,12720)),'axis':72,'child_rank':1}
+    hist[1]+=5040
+    assert t['cover_final_correction']['families']==[0,12720]
+    assert t['cover_final_correction']['charged_calls_per_cover']==12720
+    assert t['execution_schedule'][-1]=={'kind':'translate_every_live_family',**{k:v for k,v in t['cover_final_correction'].items() if k!='kind'}}
+    assert 73*12720-sum(r*z for r,z in hist.items())==2496
+    return hist
+H=global_check(ir)
+for name,mut in [('missing_padding',lambda t:t['bank_padding']['families'].pop()),
+                 ('aliased_owner',lambda t:t['calls'][0]['owners'][241].__setitem__(1,[2,0])),
+                 ('missing_cover_phase',lambda t:t['cover_final_correction'].__setitem__('charged_calls_per_cover',0))]:
+    t=copy.deepcopy(ir);mut(t)
+    try:global_check(t)
+    except (AssertionError,KeyError):controls.append(name)
+    else:raise AssertionError('global mutation accepted: '+name)
+assert dict(H)=={int(r):z for r,z in integration['global_profile'].items()}
+
+def load(name):
+    sp=importlib.util.spec_from_file_location('replay_hamming_'+name,Path('work/pr361/code/engines')/(name+'.py'))
+    m=importlib.util.module_from_spec(sp);sp.loader.exec_module(m);return m
+M,B=load('moment'),load('base_two_moment');b=Q(integration['complex_b']);grid=Q(1,10**18)
+assert M.moment(H,73,12720,b,True)[1]<1<M.moment(H,73,12720,b+grid,True)[0]
+def other(a):
+    lo,hi=B.moment(73,12720,list(H.items()),a)
+    l2,h2=B.moment(73,12720,[(1,32*73**2*sum(H.values()))],a)
+    return lo+l2/10**16,hi+h2/10**16
+assert other(b)[1]<1<other(b+grid)[0]
+result={'status':'PASS_INDEPENDENT_NEW_STRUCTURAL_IR_REPLAY',
+        'template_sha256':integration['global_template_sha256'],'local':checks,
+        'mutation_controls_rejected':controls,'all_eight_global_scalar_columns':True,
+        'bank_owners_and_padding_exact':True,'paid_profile':dict(sorted(H.items())),
+        'two_rational_moment_engines':True,'complex_b':str(b),
+        'next_b_grid_rejected':True,
+        'scope':'Independent finite replay; retains the written generic scalar-interface lemma and inherited all-size/analytic assumptions.'}
+(OUT/'INDEPENDENT-REPLAY.json').write_text(json.dumps(result,indent=2)+'\n')
+print('PASS independent local/global replay and two exact moments',flush=True)
diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/bit-geometry.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/bit-geometry.json.gz
new file mode 100644
index 0000000000..19725bec46
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diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/bit-r767.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/bit-r767.json.gz
new file mode 100644
index 0000000000..807cea53eb
Binary files /dev/null and b/research/early-reset-source-banks/vendor/pr433/inputs/bit-r767.json.gz differ
diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/complex-data-phases.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/complex-data-phases.json.gz
new file mode 100644
index 0000000000..22154a8c58
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diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/complex-phase-receipt.json b/research/early-reset-source-banks/vendor/pr433/inputs/complex-phase-receipt.json
new file mode 100644
index 0000000000..2a370225ea
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/inputs/complex-phase-receipt.json
@@ -0,0 +1,22 @@
+{
+  "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES",
+  "canonical_word_sha256": "79ff8e19335d5d5d1563ef0bc218106945d6a2b88ece53ee24bb3d88b2594ba3",
+  "fresh_edges": 248,
+  "reused_exact_edges": 2670,
+  "prior_recipe_sha256": "ecd793998109e76a139afcf5a3d83376cbc27f6364fd5fbc9e5645d129b2f791",
+  "frames": 956,
+  "directed_edges": 2918,
+  "ranks": {
+    "1": 1424,
+    "3": 168,
+    "8": 24,
+    "5": 294,
+    "2": 784,
+    "4": 224
+  },
+  "endpoint_adapters": 240,
+  "all_child_equalities_include_global_phase": true,
+  "recipe_sha256": "242fe77af077973e1933524fe5c7ff3b68bef14b1f6938e024827de78d954492",
+  "seconds": 17.302232877002098,
+  "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations."
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/complex-phase-recipes.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/complex-phase-recipes.json.gz
new file mode 100644
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diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/complex-ports.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/complex-ports.json.gz
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index 0000000000..ccbdc0596c
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diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/complex-template.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/complex-template.json.gz
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index 0000000000..975ce5c0df
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diff --git a/research/early-reset-source-banks/vendor/pr433/inputs/e8-r865.json.gz b/research/early-reset-source-banks/vendor/pr433/inputs/e8-r865.json.gz
new file mode 100644
index 0000000000..8bec1751f7
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diff --git a/research/early-reset-source-banks/vendor/pr433/notices/NOTICE-PR352.md b/research/early-reset-source-banks/vendor/pr433/notices/NOTICE-PR352.md
new file mode 100644
index 0000000000..4f9a0194a3
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/NOTICE-PR352.md
@@ -0,0 +1,33 @@
+# Attribution and provenance
+
+Prepared by DaysSky, assisted with Claude. Apache-2.0 (see `LICENSE`) applies to the new code and to the inherited Apache-2.0
+code below; third-party notices are preserved where files are vendored.
+
+- **Complex supplier: the E8 unit** (`code/complex/inputs/e8/`): Jacob Sussman, jacobalansussman/wht-power-saving-lean
+  at `9c94857bbaee886f8649edee0bc2d3c738f9555e` (Apache-2.0, Copyright 2026 Jacob Sussman; his `LICENSE` and `NOTICE`
+  are vendored beside the files). The certificate `tools/certificate/gcert1-e8-r783.json.gz`, the 24 Lean modules and
+  the comparator configuration of his kernel-checked theorem `wht_main_block_B2Ge8x`, his Lean-data generators
+  (`tools/gx/{gxgen,gxrate,gxbind,gxunit,gxcore,gsmirror,gxpaths,regen_check,regen_check_e8}.py`,
+  `tools/gen/{foldlib,foldgen,gen_rates,gen_sharp}.py` and templates) and his stand-alone `tools/e8/replay.py` are
+  vendored byte-identical and sha-pinned in `code/complex/inputs/complex/source-pins.json`. His README credits
+  devices from this repository in the unit: slot reuse with a compensating read (jamesyc #124, eumemic #143), late
+  pairing (Chafik Boukhalfa #200/#233), the in-place pair (icekylinx #184, carried in ikeboy's #191/#193).
+- **Bit word, Design T, twin condensation, checkers and engines** (`data/bit/`, `code/builders/`, `code/checkers/`,
+  `code/pricing/`, `code/export_p10.py`, `code/stage_cohort.py`): unchanged from LJH-217's PR #346 at
+  `11b4de5ff8ed5fccf55d4af1043358d257308e8e`, which builds on DreamingOfClouds' PR #325 p10b word and PR #315 engines
+  (#285/#276 gen5/gen4 lineage on eumemic's PR168 generator and source527 package, PR #200's physical rules, hcg890
+  and Jacob Sussman's five-stage architecture, Evan McKinney's completed banks), utcorvusvolat-dotcom's w3 Design T,
+  twin condensation and verifier (PR #310) and PR #266's official checkers. See PR #346's notice for detail.
+  `json.hpp`: Niels Lohmann, MIT license in its header.
+- **Complex checks** (`code/complex/portable_complex.py`, `code/complex/code/`, `code/complex/inputs/complex/`):
+  PR #315's portable complex checks as ported to p = 10 in PR #346 (#256/#233/#202/#200/#194/#184 lineage:
+  icekylinx, Chafik Boukhalfa, Avi Eisenberg, eumemic and others). Jacob Sussman's `gx.check1`, `gxcore` and pinned
+  Lean chain sources under `code/complex/inputs/complex/sources` are unchanged from PR #346 (byte-identical at
+  `9c94857` except his `ORIGIN.md`, kept at `f010392`).
+- **New here**: `code/complex/code/scatter.py` and the generalization of the label, scalar, splice and guard checks
+  from the paired-cube star scatter with h centres of rank h − 2 to any gx scatter (table or star) with any number
+  of retained totals of any rank (regression: on PR #346's p = 10 program the generalized checks give byte-identical
+  scalar schedules, splice programs, primitive expansions, ledger and precision guard); the generalized final-climb
+  partition; the E8 pins; the Lean-binding and replay steps of `certify_complex.py`; `verify.sh` changes.
+
+Credits do not imply endorsement or review by the credited authors.
diff --git a/research/early-reset-source-banks/vendor/pr433/notices/NOTICE.md b/research/early-reset-source-banks/vendor/pr433/notices/NOTICE.md
new file mode 100644
index 0000000000..c244e3f56a
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/NOTICE.md
@@ -0,0 +1,47 @@
+# Attribution and provenance
+
+Prepared by Dylan Crow, with Anthropic Claude assistance. Apache-2.0 (see `LICENSE`) applies to the new code and to the
+inherited Apache-2.0 code. Third-party notices are preserved where files are vendored.
+
+## New in this package
+
+- The E8 bit word `bitE8-r865` and its producer (`code/bit/producer/`).
+- The record exporter.
+- The independent checker and the controls.
+- The centre-count CP-SAT proof.
+- The generalized bit-side checkers, each with a documented default that reproduces the original:
+  - `NCOPY` in `legality_h.cpp` and `columns_h.cpp`;
+  - the `--gram` parameter in `gram_frames.py`;
+  - the label-family parameters in `geometry_g.py`;
+  - h and replicas in `tile_g.py`;
+  - h and T in `certify_bit_g.py`;
+  - NCOPY and the route template in `finite_g.py`.
+- The receipt assembler.
+- The secondary `seven_stage.py`.
+
+## Vendored
+
+- **`code/complex/`, `code/pricing/`**: unchanged from PR #352 (DaysSky) at `04b4c3c478b5bd8797d2663d89d8db4dfd0ad9f2`. This
+  includes:
+  - Jacob Sussman's E8 unit, Lean data, generators and replay, from jacobalansussman/wht-power-saving-lean at `9c94857`
+    (Apache-2.0, Copyright 2026 Jacob Sussman; his `LICENSE`/`NOTICE` are beside the files);
+  - PR #315's engines (`moment.py`, `base_two_moment.py`, `outer.py`, `prime_witnesses.py`).
+  See `NOTICE-PR352.md`.
+- **`code/bit/regression/`**: unmodified from PR #352 / PR #346 (LJH-217):
+  - `legality_h_pr346.cpp` and `columns_h_pr346.cpp` (PR #266's official cohort checkers as generalized in h by #346);
+  - `stage_cohort.py`, `prime_new.py`, `tile_check.py`, `cost.py`, `certify_bit.py`.
+  The generalized checkers in `code/bit/checkers/` derive from these, and from the source527/p10 packages'
+  `finite_check.py`, `geometry527.py` and `global_lowering.py`, whose lineage is:
+  - eumemic's source527 package;
+  - PR #200 (Chafik Boukhalfa);
+  - PR234 (hcg890 / Henry Grant), on Jacob Sussman's five-stage architecture;
+  - Evan McKinney's completed banks;
+  - the p = 10 ports by DreamingOfClouds and Chafik Boukhalfa.
+- **`code/secondary/bridged.py`**: unchanged from PR #363 (DaysSky) at `9df55dad6ddd05c3458793dfd82d1c2fe0ddbbb4`.
+  See `NOTICE-PR363.md`.
+- **`data/regression-p10/BASE-*`**: PR #325's p10b word as exported in PR #352 (DreamingOfClouds; #352 `data/bit`).
+- **`data/regression-p10/receipts-loans/`**: verification receipts of agent G's p = 10 passive-loans package, used only as
+  regression input.
+- **`json.hpp`**: Niels Lohmann, MIT license in its header.
+
+The E8 label family on the bit side follows Jacob Sussman's introduction of the E8 family for the complex supplier.
diff --git a/research/early-reset-source-banks/vendor/pr433/notices/PR386.txt b/research/early-reset-source-banks/vendor/pr433/notices/PR386.txt
new file mode 100644
index 0000000000..28cfebeb08
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/PR386.txt
@@ -0,0 +1,25 @@
+Prepared by Zhihao Chen with substantial OpenAI Codex assistance.
+New compressed nine-stage bit geometry, source-bound global template,
+independent audit, finite bill, combined certificate and documentation:
+Apache License 2.0, the repository LICENSE.
+
+Pinned dependency research/e8-bit is reproduced without modification from
+Dylan Crow (utcorvusvolat-dotcom), with Anthropic Claude assistance, PR #370:
+https://github.com/CrocSwap/integer-mult-bounds/pull/370
+commit b7fe9cdf2da009c947ff6b334c562bc190b30373.
+All LICENSE, NOTICE.md, NOTICE-PR352.md and NOTICE-PR363.md files are retained.
+The local E8 bit word and its producer are their contribution, not ours.
+
+Pinned dependency research/nine-stage-complex-e8 is the independently
+developed complex component from PR #377, commit
+d0a620fcc99ba012468d61d01f5bb14007076d50:
+https://github.com/CrocSwap/integer-mult-bounds/pull/377
+Its inherited sources, source notices and licenses remain unchanged.
+
+Jacob Sussman introduced the E8 family and complex unit. The preserved
+upstream notices credit source527/eumemic, PR234/hcg890, PR266, PR315,
+PR346/LJH-217, PR352/DaysSky, PR363/DaysSky, Chafik Boukhalfa,
+DreamingOfClouds, Evan McKinney and other original contributors.
+
+The portable bits/stdc++.h shim contains standard-library includes only;
+it changes neither inherited algorithms nor their verification checks.
diff --git a/research/early-reset-source-banks/vendor/pr433/notices/PR426-SOURCE-PINS.json b/research/early-reset-source-banks/vendor/pr433/notices/PR426-SOURCE-PINS.json
new file mode 100644
index 0000000000..24a25d4342
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/PR426-SOURCE-PINS.json
@@ -0,0 +1,1116 @@
+{
+  "files": [
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+      "sha256": "2beb4568b319804ac7790ef5803cb442c529a8a02692e8b8c5eca60c95a2b5e0",
+      "source_path": "research/e8-shared-donor-chains/README.md"
+    },
+    {
+      "commit": "12f488264cdd74a3b60d0fb534f4955792384f5c",
+      "path": "vendor/source404/PROOF.md",
+      "repository": "CrocSwap/integer-mult-bounds",
+      "sha256": "5ab68880c7a72d909ced76074650908d3a9bd1e19bd9df0f8b7b9e924e1cc899",
+      "source_path": "research/e8-shared-donor-chains/PROOF.md"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/repivot.py",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "7dfe60b7ace9f8ba4674e0ead24e6933f48b0e0497038d1cf64ef2d4bffd142c",
+      "source_path": "research/e8-repivot-fusion/code/repivot.py"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/seqenlarge.py",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "8cdaabaa1923677e9bbbccc1291e414b13fc8ae19ea33202c4ae50fd8b03b6e0",
+      "source_path": "research/e8-sequential-enlarged/code/seqenlarge.py"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/repivot-e8.json",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "58fd4e9f2712ba5b33f78d792d99de612e2dfd888cdb83d0718028e6d6633c85",
+      "source_path": "research/e8-sequential-enlarged/data/repivot-e8.json"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/repivot-e8seq.json",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "e1e0dfe35c4ccbd572e6ecdd5be855e2a2e73a34a05c4437e94b97ab22d8f7d2",
+      "source_path": "research/e8-sequential-enlarged/data/repivot-e8seq.json"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/pr410/enlarged205.json",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "46b28ee2fd1768317fae7983043964b28f0f9c6e32a50f6a8b8b9b90e38920cc",
+      "source_path": "research/e8-sequential-enlarged/data/pr410/enlarged205.json"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/pr409/SELECTION.json",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "55ed27fc7d202aac06b5c62e5822764b24283f2637b70c2ffa9b3ee3dc7f2a48",
+      "source_path": "research/e8-sequential-enlarged/data/pr409/SELECTION.json"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/LICENSE",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+      "source_path": "LICENSE"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/NOTICE.md",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "ab9c3c082f2e00c5636603978d044127bd7b7fda6cdf955456154a36e222bc7a",
+      "source_path": "research/e8-sequential-enlarged/NOTICE.md"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/LICENSE-pr409",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+      "source_path": "research/e8-sequential-enlarged/data/pr409/LICENSE-pr409"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/LICENSE-pr410",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+      "source_path": "research/e8-sequential-enlarged/data/pr410/LICENSE-pr410"
+    },
+    {
+      "commit": "616d9d678c00d79693b869934464003ba5b8d1b1",
+      "path": "vendor/source412/NOTICE-repivot.md",
+      "repository": "chafreaky/integer-mult-bounds",
+      "sha256": "8c7f4785def2bc39334aac618184bb4e3c6b11ee6f1c8b51edc89d7b8fddc2c0",
+      "source_path": "research/e8-repivot-fusion/NOTICE.md"
+    }
+  ],
+  "parent": {
+    "commit": "b3c45822ca847aec8c0c019bb04db30881fc2966",
+    "manifest_sha256": "389ac12de894730bd534f9a00d604866dd400175e32bd1204920dd98eafb8888",
+    "package": "research/e8-coupled-bit-retiming",
+    "scope": "Complete frozen source tree is retained beside this extension, without modifying any original bytes."
+  }
+}
diff --git a/research/early-reset-source-banks/vendor/pr433/notices/PR426.md b/research/early-reset-source-banks/vendor/pr433/notices/PR426.md
new file mode 100644
index 0000000000..2a7a8c0c6b
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/PR426.md
@@ -0,0 +1,53 @@
+# Sources and attribution
+
+This extension preserves the full frozen PR389 package at b3c45822ca847aec8c0c019bb04db30881fc2966.
+All notices and licenses in that package continue to apply, including Jacob
+Sussman's original gx/E8 construction and Dylan Crow's bit word.
+
+applecrusher PR376 supplies the two exact equal-helper aliases, frame repairs,
+two subsequent rank-six to rank-five moves, and deterministic transport.
+Dugongue PR390 supplies target-prefix difference restoration and its sufficient
+main-only Y-to-Y compiler extension. Rohan Arun PR395 supplies the signed
+extension; its original source file and exact function bytes are retained.
+The fixed signed selection here is reconstructed on the R779 word, rather than
+claiming another contributor's selected witness as new discovery.
+
+ai-nanachi, with substantial OpenAI Codex assistance, supplies two further
+two-donor clean substitutions, 55 clean-reset bit helper reuses, 54 subsequent
+bit frame moves, changed complete supplier replays and exact composition.
+The first contribution's frame search and exact record are preserved separately.
+The headline gain comes from the changed complex supplier. The bit gain is
+reported separately because it does not change the binding complex ceiling.
+No worldwide priority or global optimality is claimed.
+
+Source byte identities and original commit paths are in SOURCE-PINS.json.
+New contributions are Apache-2.0; original source-specific notices and licenses
+are retained in the frozen parent and vendor directories.
+
+Dugongue [PR401](https://github.com/CrocSwap/integer-mult-bounds/pull/401)
+at 7844f72c6051a4408284c3092490687061675c1a supplies arbitrary entrance
+subspaces, exact even/degenerate two-sided normalization, mixed banks and
+independent readback. Dugongue
+[PR404](https://github.com/CrocSwap/integer-mult-bounds/pull/404)
+at 12f488264cdd74a3b60d0fb534f4955792384f5c supplies the expanded shared-donor
+selection and sufficient nested-donor construction. Our private nested-flag
+experiments ran independently around this public update; no priority over
+PR404 is claimed. applecrusher's PR376 at
+7aa9d9f0247bb60c0519704bbca18990011e2a37 supplies the additional rank-eight
+to rank-seven frame change, frozen through PR404's composition source.
+Our contribution is the explicitly mapped R779 composition, all-pair fresh
+phase replay, full changed supplier/bit checks, and independent clean-reset
+bit mechanism. PR404's incompatible overlapping target recovery is excluded.
+No source-specific numerical gains are added to the headline.
+
+Chafik Boukhalfa, with Anthropic Claude assistance, supplies the checker-clean
+re-pivoting from [PR412](https://github.com/CrocSwap/integer-mult-bounds/pull/412)
+at 616d9d678c00d79693b869934464003ba5b8d1b1. The four ordered groups originate
+in Rohan Arun's [PR409](https://github.com/CrocSwap/integer-mult-bounds/pull/409);
+the eight enlargements originate in eumemic's
+[PR410](https://github.com/CrocSwap/integer-mult-bounds/pull/410).
+Exact selected source bytes, commit paths and licenses are retained through
+the frozen PR412 composition in vendor/source412. This submission maps these
+relations onto R779, checks both unchanged original checker families,
+recomputes every chronological omission, and freshly admits every phase pair.
+No independently reported numerical savings are added together.
diff --git a/research/early-reset-source-banks/vendor/pr433/notices/SUSSMAN-NOTICE b/research/early-reset-source-banks/vendor/pr433/notices/SUSSMAN-NOTICE
new file mode 100644
index 0000000000..63aa295646
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/notices/SUSSMAN-NOTICE
@@ -0,0 +1,290 @@
+Walsh-Hadamard power saving (wht-power-saving-lean)
+Copyright 2026 Jacob Sussman
+
+Repository: https://github.com/jacobalansussman/wht-power-saving-lean
+
+This repository is not a project of OpenAI. OpenAI did not write, review or
+endorse it. The package name "OAI" and the namespace "OAI.PowerSaving" are
+those of openai/math and are kept only because the new files extend that
+development.
+
+This repository is not a project of CrocSwap/integer-mult-bounds either. Its
+authors did not write, review or endorse it. Section 6 says what is taken
+from their repository.
+
+This repository contains files from, and files derived from, the repository
+"openai/math" (https://github.com/openai/math), family 130, "Exact Fourier
+transforms below n log n", at commit fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb.
+That repository is published under the Apache License, Version 2.0. A copy of
+the licence is in the file LICENSE. The upstream repository has no NOTICE file
+and its licence text names no copyright holder; the files are attributed here
+to the authors of openai/math (OpenAI).
+
+1. Unmodified upstream files.
+   The 89 files under OAI/Computability/ are byte-for-byte copies of the files
+   with the same paths under lean/ in openai/math at the commit above. They
+   have not been changed. Modified copies of some of them are under
+   Work/Fourier/ and are listed in section 7.
+   One more file of openai/math is here unchanged, outside the Lean build:
+   third-party/openai-math/lean/ComparatorChallenges/UniformFourier.lean is a
+   byte-for-byte copy of lean/ComparatorChallenges/UniformFourier.lean at the
+   commit above (the statement of OpenAI's Fourier challenge). It is included
+   so that the modified copy named in section 2 can be compared with it.
+
+2. Files that contain upstream text.
+   - Work/CarrierCheck/ChallengeB2Ke16x.lean,
+     Work/CarrierCheck/ChallengeB2Ke16xR.lean,
+     Work/GCert/Data/ChallengeB2Gp193x.lean and the text template
+     tools/gen/templates/ChallengeB2L16x.lean.txt each contain, as their
+     lines 22-270, lines 9-257 of
+     lean/ComparatorChallenges/UniformFourier.lean of openai/math (the RAM cost
+     model), unchanged. Everything else in these files was written for this
+     repository.
+   - Work/Fourier/UniformFourierChallenge.lean is a modified copy of
+     lean/ComparatorChallenges/UniformFourier.lean of openai/math (the
+     statement of OpenAI's Fourier challenge, 336 lines). Changes: a comment
+     was added at the top; the exponent 1 - 1/(10^(13:ℕ)) was replaced by
+     1 - 7474546/(10^(10:ℕ)); seven names received the suffix "Z"
+     (decimalExponent, decimalTime, TimeBounds, DFTGoal, ConvGoal,
+     transform_main, convolution_main). Everything else in the file is the
+     upstream text, unchanged. See section 7.
+   - Work/Scratch/Engine.lean and Work/Block/Engine.lean contain copies of
+     proofs of openai/math, changed for this repository: sections 1, 2 and 5
+     of Work/Scratch/Engine.lean are upstream proofs with the batch layout
+     renamed, and both files contain a copy of the private upstream theorem
+     "hills_project" (lean/OAI/Computability/FourierTransform/
+     TensorProgram.lean) with its envelope generalised. The comments in the
+     two files mark these places.
+   - lakefile.lean is adapted from lean/lakefile.lean of openai/math: the same
+     package name, toolchain, package option and Mathlib pin; every other
+     dependency was removed and the libraries of this repository were added.
+     lean-toolchain is a byte-for-byte copy of lean/lean-toolchain.
+     lake-manifest.json lists Mathlib and its dependencies at the revisions of
+     lean/lake-manifest.json.
+   - RELATED-WORK.md reproduces the BibTeX entries of two manuscripts of
+     openai/math.
+
+3. New files that build on upstream proofs.
+   The other files under WHTCheck/ and Work/ were written for this
+   repository. They import the upstream files, and several of them generalise
+   or adapt proofs of upstream files (for example Work/Block/Recursion.lean,
+   which says so in its header). They are changes and additions made for this
+   repository and are not part of openai/math.
+
+4. How the new files were made.
+   Jacob Sussman made the new files on 2026-10-08 and 2026-10-09 by directing
+   a team of AI agents (Claude). The agents wrote the new Lean files, the
+   certificate data and the generator scripts. See README.md, section 4.
+
+5. Ideas taken from other public work.
+   The network of the first result uses ideas published by others, among them
+   the helper circuit "NStar3" (Swapnil-jain/integer-mult-kappa, which credits
+   CrocSwap pull request #36 and Paureel for parts of it), its transfer to
+   family 130 (shea256/fourier-transform-below-nlogn), and "carrier links" and
+   "whole-residual batching" (pull requests to CrocSwap/integer-mult-bounds).
+   No file of Swapnil-jain/integer-mult-kappa or of
+   shea256/fourier-transform-below-nlogn is included here. One comment in
+   Work/Scratch/Engine.lean quotes three counts reported in
+   Swapnil-jain/integer-mult-kappa and names that source. The general frame
+   lemma that Work/GFrame proves is stated in
+   notes/general-clifford-frames.tex of CrocSwap/integer-mult-bounds; its Lean
+   proof was written for this repository. The credits, with links, are in
+   RELATED-WORK.md.
+
+6. Data derived from CrocSwap/integer-mult-bounds (second result).
+   The helper circuit of the second result is the paired-cube circuit of the
+   repository "CrocSwap/integer-mult-bounds"
+   (https://github.com/CrocSwap/integer-mult-bounds), in the state of its pull
+   request #193. It is the design of that community: icekylinx (pull requests
+   #144 and #184), eumemic (#168, and #117 behind its modules), ikeboy /
+   Avi Eisenberg (#191 and #193), with an664 (#128) credited there for the
+   workspace-sharing principle. That repository is published under the Apache
+   License, Version 2.0 (the same licence text as the file LICENSE). Its
+   NOTICE file begins "A sharper exponent for integer multiplication /
+   Copyright 2026 Douglas Colkitt" and says that the community release "is
+   not solely Douglas Colkitt's work". A complete copy of that NOTICE file, as
+   it is at the head of pull request #193, is in
+   third-party/CrocSwap-integer-mult-bounds/NOTICE.
+
+   The data were taken from these files of that repository. They were loaded
+   as data by programs written for this repository; no program of that
+   repository was run, and none is included here.
+   - at the head of pull request #168 (eumemic),
+     4a3c769e5c5430e7114c4d3e099ff34664677f17:
+       references/paired-cube/sources/local_L1.json
+       references/paired-cube/sources/tmod_TE_TD_TB3_1_1_4_full_6.0617964e-4.json
+       references/paired-cube/sources/pmod_J0_full_6.0666810e-4.json
+       references/paired-cube/sources/qmod_climb3u_best.json
+       references/paired-cube/selected-module/matching-arcs.json
+       references/paired-cube/physical/frames.json
+   - at the head of pull request #193 (ikeboy),
+     187e1010ac8b259af8e9b5166f68b64bc27b4b47:
+       research/source-assisted-v4/data/physical-pairs.json
+
+   Files of this repository that contain data derived from them:
+   tools/certificate/gcert1-p11-pr193.json.gz and the Lean data modules
+   generated from it, Work/GCert/Data/Gen/P193*.lean and the files they import
+   from Work/GCert/Data/Gen/P193/; its block counts are also in the generated
+   modules Work/GCert/Data/P193Price.lean, RateB2Gp193.lean, RateB2Gp193x.lean
+   and InstB2Gp193.lean.
+   Changes made: the circuit was rebuilt from those data as one explicit,
+   renumbered list of additions with a table of frames, in the certificate
+   format "gcert/1" of this repository; its 1,980 in-place steps were written
+   as pairs of additions with rescaled coefficients; the Lean data modules
+   were generated from that list. No file of that repository is included
+   unchanged, except the copy of its NOTICE file named above.
+
+   Notices of that NOTICE file that pertain to these data, quoted:
+
+     Paired-cube and shared-core extension, 9 October 2026
+     Copyright 2026 icekylinx
+
+     Source-assisted common-frame extension (2026-10-09)
+     Copyright 2026 icekylinx. Apache-2.0.
+     Substantial dependency: eumemic PR168,
+     fd25adb7fbaa12ee761d02c733c54d1d2a7687ee
+
+   The full text of both notices, and the notices of the work they build on,
+   are in the copy named above. The credits, with links and with the words of
+   pull request #193 about its own sources, are in README.md ("Whose circuit
+   this is") and in RELATED-WORK.md, section 1.
+
+7. Modified copies of upstream files (third result).
+   The files listed below are copies of files of openai/math at the commit
+   above, changed for this repository. Each begins with a comment that names
+   the upstream file it is derived from and states what was changed. The
+   upstream originals under lean/OAI/Computability/ are in this repository
+   as well, unchanged (section 1), and the copies import them. The upstream
+   challenge file lean/ComparatorChallenges/UniformFourier.lean is in this
+   repository in both forms: unchanged under third-party/openai-math/
+   (section 1) and modified (section 2).
+
+   - Work/Fourier/ArbitraryLength.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/ArbitraryLength.lean (224
+     lines; 159 of them unchanged in the copy). Changes: identifiers renamed
+     on 64 lines (18 names: 15 with the suffix Z, 3 with Z inserted); 1
+     import line replaced by 1; 15 comment lines added; no other change to
+     the code.
+   - Work/Fourier/Asymptotics.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/Asymptotics.lean (187 lines;
+     112 of them unchanged in the copy). Changes: identifiers renamed on 74
+     lines (32 names: 26 with the suffix Z, 6 with Z inserted); 1 import
+     line replaced by 1; 15 comment lines added; no other change to the
+     code.
+   - Work/Fourier/Axioms.lean: written for this repository (not a copy of an
+     upstream file).
+   - Work/Fourier/ConvolutionProgram.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/ConvolutionProgram.lean (100
+     lines; 77 of them unchanged in the copy). Changes: identifiers renamed
+     on 22 lines (10 names: 9 with the suffix Z, 1 with Z inserted); 1
+     import line replaced by 1; 15 comment lines added; no other change to
+     the code.
+   - Work/Fourier/Goal.lean: written for this repository; contains lines of
+     upstream files: of its 7 code lines, 6 are lines of
+     lean/OAI/Computability/FourierTransform/Goal.lean (original lines 35,
+     75-77, 79, 81): unchanged: its lines 25; with identifiers renamed: its
+     lines 21, 24, 26, 28, 30.
+   - Work/Fourier/Main.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/Main.lean (151 lines; 90 of
+     them unchanged in the copy). Changes: identifiers renamed on 59 lines
+     (40 names: 35 with the suffix Z, 5 with Z inserted); 1 import line
+     replaced by 2; 24 comment lines added; other code lines changed: 1 of
+     the original, 1 of the copy (copy line 59).
+   - Work/Fourier/Seam.lean: written for this repository; contains lines of
+     upstream files: of its 122 code lines, 15 are lines of
+     lean/OAI/Computability/FourierTransform/TensorProgram.lean (original
+     lines 36-37, 95-96): unchanged: its lines 93-94, 113-114, 141-142,
+     163-164, 185-187, 194-196; with identifiers renamed: its lines 184; 3
+     are lines of lean/OAI/Computability/FourierTransform/TensorSaving.lean
+     (original lines 83-84, 114): with identifiers renamed: its lines 45-46,
+     59; 1 is a line of lean/OAI/Computability/FourierTransform/Main.lean
+     (original line 60): with identifiers renamed: its lines 213.
+   - Work/Fourier/SectorAlgorithm.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/SectorAlgorithm.lean (224
+     lines; 162 of them unchanged in the copy). Changes: identifiers renamed
+     on 61 lines (17 names: 13 with the suffix Z, 4 with Z inserted); 1
+     import line replaced by 1; 15 comment lines added; no other change to
+     the code.
+   - Work/Fourier/SynchronizedAlgorithm.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/SynchronizedAlgorithm.lean (126
+     lines; 94 of them unchanged in the copy). Changes: identifiers renamed
+     on 31 lines (12 names: 10 with the suffix Z, 1 with Z inserted, 1
+     other), the other being "canopy" to "Grove.canopy" (5 lines); 1 import
+     line replaced by 1; 16 comment lines added; no other change to the
+     code.
+   - Work/Fourier/TransformProgram.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/TransformProgram.lean (146
+     lines; 94 of them unchanged in the copy). Changes: identifiers renamed
+     on 51 lines (21 names: 19 with the suffix Z, 2 with Z inserted); 1
+     import line replaced by 1; 15 comment lines added; no other change to
+     the code.
+   - Work/Fourier/UniformBounds.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/UniformBounds.lean (183 lines;
+     115 of them unchanged in the copy). Changes: identifiers renamed on 67
+     lines (29 names: 25 with the suffix Z, 4 with Z inserted); 1 import
+     line replaced by 1; 15 comment lines added; no other change to the
+     code.
+   - Work/Fourier/UniformFourierChallenge.lean: modified copy of
+     lean/ComparatorChallenges/UniformFourier.lean (336 lines; 328 of them
+     unchanged in the copy). Changes: identifiers renamed on 7 lines (7
+     names: 7 with the suffix Z); 12 comment lines added; other code lines
+     changed: 1 of the original, 1 of the copy (copy line 281).
+   - Work/Fourier/WorkingCompiler.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/WorkingCompiler.lean (153
+     lines; 104 of them unchanged in the copy). Changes: identifiers renamed
+     on 48 lines (14 names: 14 with the suffix Z); 1 import line replaced by
+     1; 15 comment lines added; no other change to the code.
+   - Work/Fourier/WorkingPreparation.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/WorkingPreparation.lean (212
+     lines; 156 of them unchanged in the copy). Changes: identifiers renamed
+     on 55 lines (30 names: 28 with the suffix Z, 2 with Z inserted); 1
+     import line replaced by 1; 15 comment lines added; no other change to
+     the code.
+   - Work/Fourier/WorkingTransform.lean: modified copy of
+     lean/OAI/Computability/FourierTransform/WorkingTransform.lean (119
+     lines; 91 of them unchanged in the copy). Changes: identifiers renamed
+     on 27 lines (9 names: 8 with the suffix Z, 1 with Z inserted); 1 import
+     line replaced by 1; 15 comment lines added; no other change to the
+     code.
+
+   Changes made to the eleven copied proof files: every declaration received
+   the letter "Z" in its name (as a suffix of its own name, or of the name
+   of the declaration it belongs to), so that it does not collide with the
+   upstream declaration of the same name; the upstream exponent "alpha"
+   (1 - 2/10^11) and the bound "hills" defined from it were replaced by
+   "alphaZ" (1 - 7474547/10^10) and "hillsZ", which are defined in
+   Work/Fourier/Seam.lean, and the single use of the upstream theorem
+   "hills_program" by "hillsZ_program"; the five definitions of the upstream
+   statement that contain its exponent (decimalExponent, decimalTime,
+   TimeBounds, DFTGoal, ConvGoal) were replaced by the versions of
+   Work/Fourier/Goal.lean, whose exponent is 1 - 7474546/(10^(10:ℕ));
+   the import lines point to the copies; a header comment was added.
+      Two further changes: in the copy of Main.lean the same constant stands
+   once as the literal 2/10^11 and was replaced there too, and the two
+   final theorems of that copy received a documentation comment; in the
+   copy of SynchronizedAlgorithm.lean the name "canopy" was written out as
+   "Grove.canopy" in 5 places, because the short name is shadowed in the
+   larger environment of the copy. The script also renamed three names
+   inside upstream comments; the comments are otherwise the upstream ones
+   and describe the upstream network.
+   The proofs are those of openai/math. The copies were made by the script
+   tools/fourier/mkchain.py of this repository.
+
+   Work/Fourier/Goal.lean contains copies of those five definitions of
+   lean/OAI/Computability/FourierTransform/Goal.lean, with the exponent
+   replaced and the suffix "Z" on the five names.
+
+   Work/Fourier/Seam.lean was written for this repository. It repeats the
+   statement of the upstream theorem "hills_program" (TensorProgram.lean) and
+   the definition of "hills" (TensorSaving.lean) with the two names replaced;
+   its header says so.
+
+   The work of others that the third result follows (danadran01, shea256,
+   eumemic) is credited in README.md ("Whose reduction this is") and in
+   RELATED-WORK.md, section 1. No file of their repositories is included
+   here.
+
+Not included in this repository and fetched by the build: Mathlib
+(https://github.com/leanprover-community/mathlib4, Apache License 2.0) and its
+dependencies. The comparator (https://github.com/leanprover/comparator) is a
+separate tool and is not included.
diff --git a/research/early-reset-source-banks/vendor/pr433/proofs/INHERITED-COMPLEX-GEOMETRY.txt b/research/early-reset-source-banks/vendor/pr433/proofs/INHERITED-COMPLEX-GEOMETRY.txt
new file mode 100644
index 0000000000..c4150cb693
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/proofs/INHERITED-COMPLEX-GEOMETRY.txt
@@ -0,0 +1,161 @@
+Independent compressed nine-stage complex component
+
+Claim and retained assumptions
+
+The fixed E8 local invocation has h=9, v=120, R=783 and copied rank loss
+cst=72. The construction below has m=73, live stock 14727 per complete
+orthogonal cover, and paid profile
+  1:157599, 2:43488, 3:37296, 4:10080, 5:15480, 6:23832,
+  7:3096, 8:7488, 9:576, 16:3840, 32:3840, 48:3840.
+It is a conditional complex component, not an integer multiplication bound.
+The local E8 invocation theorem, general Clifford rank-zero compiler,
+complete-stream tape primitives, common fine-grid precision, and retained
+analytic recurrence interfaces are assumptions retained from the fixed local
+source package. The new finite construction and its charges are supplied
+here. No new Lean kernel proof is asserted. Final bit-side admission and
+outer assembly are separate obligations.
+
+Exact operator convention
+
+For q in F2^m, let X_q be translation by q and
+  C_q = ((1+i) I + (1-i) X_q)/2.
+Then C_q^2=X_q and C_q fixes the uniform vector. Write C_all for the product
+over the coordinate vectors. An invertible binary matrix G acts by the
+literal address permutation P_G. All products of C_q are commuting exact
+Gaussian-dyadic operators. Their multiplier on Fourier character y is
+i^(sum epsilon_q * parity(q.y)). Modulo 4, parity expands as its linear sum
+minus twice its pair sum, so this multiplier is an exact Z4 quadratic form.
+Equality of these forms proves equality including the scalar phase.
+
+For arbitrary local subspaces U, including degenerate ones, use the
+deterministic canonical representative from clifford_exact.py. A basis G
+whose first columns span U gives K_G = D_Q P_G, with
+Q=I+G^(-T)G^(-1), and T_U=K_G C_[dim U] K_G^(-1).
+Its preimage Lagrangian is {(u,u+w): u in U, w in U^perp}. Thus a nested
+transition has Fourier rank equal to the dimension difference. The supplied
+compiler produces two explicit monomial operators around one rank-r C child.
+Its equality is checked both as a signed Pauli tableau and on a nonzero
+exact Gaussian state vector, which fixes the otherwise missing global phase.
+All 946 local frames, all 3120 used directed transitions, and all 240 old/new
+source/target adapters are checked. No rank-only replacement is made.
+
+Compressed window and data routes
+
+Use V=F2^9 direct_sum (F2^8)^8 with the ordinary dot product. Let E_s be the
+first s exterior eight-dimensional blocks, for 0<=s<=8. The exact window
+representative of local U is T_U tensor C_Es. A nested transition cancels
+the common exterior tensor factor exactly and keeps its original rank.
+Conjugating the whole window by any cover permutation preserves this fact.
+The old/new endpoint adapters are the checked local adapters tensored with
+identity, followed by the declared address conjugation. This proves the
+window lift directly; a divisibility assumption m=multiple_of_h is not used.
+
+Every supplied port q has odd weight and a zero coordinate. The explicit
+orthogonal matrix U_q in data_phases.py maps e0 to q: swap e0 with a zero
+coordinate e_j when necessary, then use the even-vector transvection
+x -> x + ((q+e_j).x)(q+e_j). Its remaining columns are an orthonormal basis
+of q^perp. For s>0, rho_s,q exchanges that complement in the local block
+with exterior block s and fixes q and all other exterior coordinates.
+It is a symmetric orthogonal involution. The stage data owners are
+g=d*rho_s,q, with rho_0,q=I, so the right factors are bijections of O(73,2).
+
+Use canonical data levels X_s=C_[0,9+8s), Y_s=X_s C_q^(-1), and initially
+X_(-1)=C_q, Y_(-1)=I. The routed stage starts at level s-1 and ends at level s.
+Their binary preimages agree with the window endpoints. Exact phase
+polynomials determine the translation that reconciles each endpoint, and
+the template applies that translation. There are 3840 nonzero such
+translations across the 120 port types and nine stages, before replica
+multiplicity. These operators are not silently identified from equal
+binary matrices.
+
+Four-pair scalar chain and idle children
+
+Starting with F_0 (Y_0 += X_0), for j=0,1,2,3 apply B_j (X_j -= Y_j),
+then for j<3 apply X_j += X_(j+1), Y_(j+1) -= Y_j, apply F_j, and undo
+that bridge. The last pair has B_3,F_3 without a following bridge.
+Afterwards apply, in descending j=2,1,0, X_(j+1)+=X_j and Y_j-=Y_(j+1).
+Finally exchange each pair by newX=oldY, newY=-oldX. The complete signed
+integer scalar matrix is the identity; omission of every bridge fails.
+
+Before a bridge, advance the idle pair to the active pair's level. The
+two advances for the newly used pairs have ranks (16,8), (32,8), (48,8).
+The final advances have ranks 48,32,16,0. Each rank occurs on both members
+of the pair, each of 120 ports, and each of eight replicas. A nested idle
+transition is factored in the explicit orthonormal basis U_q direct_sum I.
+Its exact Z4 phase is reconciled by the stored translation after that child.
+
+The final Y endpoint is C_all C_q^(-1). A source began at C_q, so its
+unadjusted exchange route would be C_all C_q^(-2)=C_all X_q. Applying the
+literal X_q to each final Y before the signed exchange removes this factor.
+The corresponding 120 omission controls fail. This correction is charged.
+
+Banks and arbitrary correlated dirt
+
+There are eight replicas of each of the four data pairs, hence 7680 data
+families. Each stage has 783 independent bank families. Number a local
+helper occurrence by z=783*replica+helper. It uses bank floor(z/8) and slot
+z mod 8, with its nine-dimensional residual assigned to coordinates
+[9*slot,9*slot+9). A paid coordinate C child at coordinate 72 completes
+each bank. All eight whole residuals and this padding fill dimension 73.
+Thus there are 9*783=7047 bank families and live stock 14727.
+
+Let Pi_slot swap the first nine coordinates with the assigned block. The
+local invocation at class d uses the bank class g=d*Pi_slot^(-1). Its
+residual at that owner is P_g C_block P_g^(-1). Right multiplication is a
+bijection. Local helpers sharing one bank have distinct slots, hence
+different right factors and different actual bank classes for every d.
+All data and private families are disjoint from banks. The checker verifies
+these injections for all 72 invocation/replica templates and 56376 residual
+assignments. A complete cover sweep for one replica finishes before the
+next begins. The local dirty invocation is block diagonal on helpers at
+its endpoint and permits arbitrary correlated helper values. Therefore
+overlap between different invocations does not impose a cleanliness or
+independence assumption. At each bank class, the eight residuals and the
+padding are coordinate factors in one common conjugated basis, and their
+exact product is P_g C_all P_g^(-1).
+
+One more exact correction is essential. Orthogonality alone does not imply
+that P_g commutes with C_all as an exact operator. In fact
+  P_g C_all P_g^(-1) = C_all X_delta(g),
+  delta(g)_i = (weight(row_i(g))-1)/2 mod 2.
+The quadratic terms cancel by row orthogonality and the remaining even
+linear terms give the displayed translation. Both sides fix the uniform
+vector, fixing the global scalar. Apply X_delta(g) to EVERY final live
+family in cover class g, after the bank padding and signed data exchange.
+The template includes and charges all 14727 corrections per cover. This
+identity is also checked on every orthogonal matrix in dimensions 1..5.
+
+Finite work and recurrence charges
+
+The source emitter is regenerated and revalidated in both orientations.
+It accounts for 1242936 local events over 72 invocations, with all copied
+center and dirty-tableau lifetimes intact. Forward and backward scalar
+words freshly replay all 1023 independent dirty live columns. Only the
+private work starts at zero. Work comprises 783 tableau streams, nine
+reserved center streams (eight used), and one coefficient stream. Each
+invocation completes and erases its private work before the next. Physical
+stock is therefore 15520 per cover; scalar-only work is excluded from the
+recursion-volume denominator.
+
+GLOBAL-REVIEW.json records the complete recomputed finite overcharge, with
+64*(73+1)^3 compiler groups per rank-zero adapter, source-counted scalar
+primitives, and overcharges for all data routes, bank selectors, phases,
+padding, bridges, exchanges and cover corrections. The O(73,2) order is
+2^(36^2)*product(2^(2i)-1,i=1..36); its bit length is 2628. The recomputed
+router fits 2^30000, the literal charge fits 2^100000, and the precision
+guard fits C0=2^210000. No even-dimensional orthogonal-order formula is used.
+
+Largest child 48 does not satisfy one-layer halving. Instead
+73^2=5329>2*48^2=4608, so two nested children have width strictly below
+half the parent, including floors. The general depth is bounded by
+2*ceil(log2 e), with direct small leaves. For B=s+E the completed-child
+semantic induction has 2B(73-48)-s-E=49B>0. The resulting conservative
+complete-row coefficient is 2*2642+9909+252=15445<20161, retaining the
+external bit/base-row allowance as an explicit interface assumption.
+The inherited bad-branch envelope is priced conservatively as before.
+
+Two independent rational moment engines admit
+b=999240641319551/10^18 and exclude b+10^-18 for the source-bound profile.
+The rank mass is 1072575, and 73*14727-1072575=2496=8*(8*120-9*72).
+This complex component exceeds 1/1024 but does not improve the current
+bit bottleneck. No improved final kappa or completed PR milestone follows.
diff --git a/research/early-reset-source-banks/vendor/pr433/proofs/PR386-BIT-GEOMETRY.txt b/research/early-reset-source-banks/vendor/pr433/proofs/PR386-BIT-GEOMETRY.txt
new file mode 100644
index 0000000000..31efe31268
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/proofs/PR386-BIT-GEOMETRY.txt
@@ -0,0 +1,191 @@
+Compressed nine-stage E8 bit supplier and combined conditional bound
+
+Claim and source assumptions
+
+The conditional combined value is
+  kappa = 998243154231047 / 10^18 = 0.000998243154231047 > 1/1024.
+It is approximately 2^-9.9683211064. This is a conditional finite construction
+in the inherited supplier framework, not a Lean proof of integer multiplication.
+No priority claim is made.
+
+The E8 bit word, its 120 root lines, all 865 helpers, and nine retained totals
+are taken without modification from Dylan Crow's PR #370, commit
+b7fe9cdf2da009c947ff6b334c562bc190b30373. Its raw word has SHA256
+1fb726ea3818fe0837cceb0dd22a71a0814f064e5e781628104610d6468e0e55.
+The original verification is rerun, including regeneration, independent
+1105-column F2 checking, official record legality/formal columns, all-frame
+Gram and prime witnesses, negative controls, and the original regression set.
+Its five-stage c is 904072820242522/10^18, insufficient by itself for -10.
+
+The complex supplier is the separately reconstructed compressed nine-stage
+component from PR #377, with b = 999240641319551/10^18. Its complete source,
+notices, exact Clifford and Z4 phase checks, global template and finite bill
+remain included. In particular, its terminal X_q and every-live-family
+X_delta(g) corrections are retained; equality of binary matrices is not
+substituted for equality of complex operators.
+
+The inherited all-size weighted bit compiler, tape/prime/precision and
+analytic transfer interfaces remain conditional. PR #370's explicit admission
+of nine copied totals at h=8 is retained. The complex local E8 theorem,
+Clifford compiler, common fine-grid, restored-row and analytic interfaces
+remain conditional exactly as stated in the companion component. The new
+window, banking and two-level finite charges are described below rather
+than inferred from a rank histogram.
+
+Exact bit operators and compressed ambient space
+
+Over an admitted odd address field, the E8 form is G=I_8/2. For a nondegenerate
+subspace U, write P_U for its orthogonal projector. On the doubled address
+space define
+  D_U = [[I-P_U, P_U], [P_U, I-P_U]].
+Thus D_U is an exact involution. If U is contained in V then
+D_V D_U = D_(V intersect U-perp), with rank dim(V)-dim(U). Also
+  D_I D_P = D_(I-P).
+These are literal address matrices. Unlike the complex C operators, they
+have no hidden scalar phase. The auditor reconstructs all 944 rational
+projectors and checks all 3289 used nested pairs, in both orientations.
+
+Set V_global = Q^8 direct_sum (Q^7)^8, m=64, with form I_64/2.
+Let E_s be the first s exterior 7-blocks, s=0,...,8. At stage s lift the
+entire local word by replacing U with U direct_sum E_s. Both ends of every
+local transition contain the same E_s, so it cancels exactly; the child
+projector and rank are unchanged. This holds for copied totals as well:
+the temporary transforms between the source and scatter frames, whose
+common E_s cancels. COPY/ERASE windows remain sequential and immutable.
+No assumption that m is a multiple of 9h is used.
+
+Port routes
+
+The reference root is q*=2e_0. For every root q, the checked product g_q
+of at most two E8 root reflections sends q* to plus or minus q. Let A_q be
+its last seven columns. They form an orthonormal basis of q-perp:
+  A_q^T A_q=I_7, A_q A_q^T=I_8-P_q, P_q=q q^T/4.
+For stage s>0 use, on the local block and exterior block s,
+  rho_(s,q) = [[P_q, A_q], [A_q^T, 0]],
+and fix all other coordinates. For s=0 use the identity. These matrices
+are orthogonal involutions. Conjugating the lifted endpoints gives
+  (P_q,E_s) -> (I_8,E_(s-1)),    (I_8,E_s) -> (I_8,E_s),
+  (0,E_s)   -> (I_8-P_q,E_(s-1)),
+  (I_8-P_q,E_s) -> (I_8-P_q,E_s).
+These equalities are checked as exact rational matrices for every port.
+Each nontrivial route has a replayed elementary factorization, at most
+77 factors, with denominators 1,2,4. Omitting a factor fails. Thus all
+routes remain defined at every odd address prime; there is no new odd
+exceptional prime. The existing local prime witnesses are rerun separately.
+
+Nine-stage scalar recipe and deferred endpoint completion
+
+Use four data pairs (X_j,Y_j). Start with F_0: Y_0 += X_0. For j=0,...,3,
+apply B_j: X_j -= Y_j; when j<3 insert the two shears
+  X_j += X_(j+1), Y_(j+1) -= Y_j;
+apply F_j; then undo those two shears. After all stages, for j=2,1,0 apply
+  X_(j+1) += X_j, Y_j -= Y_(j+1).
+Finally replace (X_j,Y_j) by (Y_j,-X_j). The complete signed integer
+8-by-8 scalar matrix is the identity. Omitting any of the eighteen
+individual bridge shears changes it.
+
+Each B_j is the reflected inverse of the actual local record stream:
+reverse the order, negate ADD coefficients, replace U by U-perp, and
+turn ERASE into a fresh COPY from the original unchanged center. No erase
+is inverted. PR #370 stores zero in the ERASE rank field; the reflected
+COPY rank is freshly derived from its two frames, giving rank 8. Both
+oriented streams replay all 1105 independent input columns and close work.
+
+Before each bridge the newly used pair is advanced to the active level.
+The two idle increments are (14,7), (28,7), (42,7). Endpoint completion of
+the earlier pairs is deferred to the final stage, with ranks 42,28,14,0.
+Every increment acts on both members of every port pair and every replica.
+The schedule checker requires equal complete frames at every bridge.
+The signed terminal exchange completes the data transform using the exact
+identity D_I D_P=D_(I-P). Scalar replay on 8745 independent columns includes
+960 data and 7785 separate stage-helper inputs. All are restored after
+the exchange; the reflected copy work closes to zero.
+
+Whole-block banks and arbitrary correlated dirt
+
+Use eight replicas. There are 4*2*120*8=7680 data families. For each stage,
+number a local helper occurrence by z=865*replica+helper, and assign it
+to bank floor(z/8), slot z mod 8. There are 865 banks at each of nine
+stages. Each slot is one whole 8-dimensional coordinate block in Q^64.
+The eight slots are mutually perpendicular and fill the ambient space;
+no padding child is needed. Live recursion stock is 7680+9*865=15465.
+Nine private center slots are reserved and excluded from recursion volume,
+so charged physical stock is 15474. Only one such slot is used at a time.
+
+Let Pi_slot exchange the first eight coordinates with its bank block.
+For a cover class d in O(I_64/2,F_q), the helper owner is the bank class
+g=d Pi_slot^-1, and a data owner is d rho_(s,q). Right multiplication is a
+bijection of the finite cover. Within every local invocation, helpers in
+the same bank have different slots, hence different actual cover classes;
+all data and work families are disjoint from banks. All 62280 assignments
+are checked, and every physical bank receives each of its eight slots once.
+
+The local all-column theorem permits arbitrary helper inputs, including
+correlations created by earlier invocations. After its endpoint each helper
+has only the known residual D_H. The common E_s cancels, so no cleanliness
+assumption is imposed by a previous bank action. Complete cover sweeps run
+sequentially. At a fixed bank owner g the residuals are D on the eight
+orthogonal coordinate blocks conjugated by g. They commute and multiply
+to D_I. Since diag(g,g) commutes with the literal head/tail exchange D_I,
+no complex-style cover phase correction is needed on the bit side.
+This is a symbolic finite cover proof, not an enumeration of O(64,F_q).
+
+Actual emitted ledger
+
+The source-bound template emits 72 local invocations and 1355328 events.
+All local COPY/ERASE and helper lifetimes are rechecked. Its paid profile is
+  1:149472, 2:67824, 3:32256, 4:30096, 5:22176, 6:144,
+  7:5760, 8:1296, 14:3840, 28:3840, 42:3840.
+There are 320544 paid children, rank mass 987264 and deficit
+  64*15465-987264 = 2496 = 8*(8*120-9*72).
+The independent auditor recomputes the profile from the emitted template
+and rejects missing idle/bridge/exchange/invocation events, bank-slot aliasing,
+understated stock, a missing local MOVE and a wrong reflected COPY charge.
+
+Finite cost, precision allowance and two-level halving
+
+The largest child is 42, so one-level halving is false. Two levels suffice:
+  2*42^2=3528 < 64^2=4096.
+Floors only reduce descendant widths. The exact one-level moment, including
+the inherited 10^-16 bad-branch envelope, is strictly below one; composing
+two levels squares this contraction. The finite composite may be used with
+the inherited halving-based compiler and direct small leaves.
+
+The old five-stage 104-bit payload-prefix guard is not reused. Fresh local
+cancellation-free row bounds are 742 forward and 6308 reverse. For five
+forward calls, four reflected calls and eighteen bridge shears, the bound
+  2^18 * 742^5 * 6308^4
+has 117 bits. We explicitly charge 192 bits per nine-stage block. The actual
+source operations, copy episodes, 77-factor routes, selectors, all owner
+adapters and this prefix bound enter certify.py's finite coefficient. It
+has 117 bits; the charged two-level coefficient has 269 bits and is bounded
+by 2^512. This deliberately increases the finite cutoff, rather than passing
+the old 104-bit assertion. The exact three bootstrap cutoff inequalities
+are checked using the changed coefficient.
+
+For cover/routing enumeration use the inherited coarse q^(m^2+1) bound;
+two levels and the retained additive row charges give
+  2*(64^2+1)+9909+252 = 18355 < 20161.
+The explicit rational bit routes introduce only powers of two. The new
+finite constants fit well below the companion bridge's 2^30000 reserve,
+and the common external C0=2^210000 and row allowance 20161 are retained.
+As for the companion complex component, the general compiler/common-grid
+interfaces are assumptions; no new Lean formalization is asserted.
+
+Exact price and combined assembly
+
+Two independent rational moment engines, both with the 10^-16 envelope,
+admit c=1057833103534317/10^18 and reject c+10^-18. The complex supplier
+therefore binds. With eta=10^-12 and beta=10^-9 choose
+  s=999240640320309/10^18 < (1-beta)*b < c.
+Start a0=384599/10^10 and apply a_(j+1)=(1-s)s+s*a_j three times. The retained
+outer assembly at (a3,b) admits kappa=998243154231047/10^18. All 47 strict
+constraints are positive; the next 10^-18 kappa grid point is rejected.
+The strict excess over 1/1024 is 21680654231047/10^18. Final kappa is about
+24.0286% above frozen #361, within the explicitly retained assumptions.
+
+Attribution: Dylan Crow / Anthropic Claude for PR #370's new local bit word;
+Jacob Sussman for E8 and the complex unit; the inherited source527, PR234,
+PR266, PR315, PR346, PR352 and PR363 contributors as listed in the preserved
+notices; Zhihao Chen with OpenAI Codex assistance for this compressed bit
+composition, its independent audit, and the combined nine-stage package.
diff --git a/research/early-reset-source-banks/vendor/pr433/proofs/PR425-COMPLEX.txt b/research/early-reset-source-banks/vendor/pr433/proofs/PR425-COMPLEX.txt
new file mode 100644
index 0000000000..41061757ce
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/proofs/PR425-COMPLEX.txt
@@ -0,0 +1,211 @@
+Hamming packets with mutable source and target bases
+Conditional finite extension of the complex E8 supplier
+
+1. What is new
+
+The old r783 word keeps source values fixed and does not read target registers.
+Those are sufficient restrictions on a scalar word, not necessary conditions
+for a common-frame linear program. The new word uses 680 helper registers:
+
+  * source registers themselves carry one branch of a simultaneous signed
+    packet computation;
+  * retired packet registers retain a full source basis, from which the eight
+    central coordinate sums are reconstructed;
+  * 56 pairs of targets carry a first two-output butterfly, with its input
+    basis explicitly compensated at frame zero and in the center decoder;
+  * an exact inverse on all source/helper registers is executed at their
+    common full frame after the last recursive climb.
+
+No recursive work is deleted from the ledger. A helper is counted for its
+entire lifetime, including unused final climbs. All 120 sources and targets
+retain their original line/full and zero/hyperplane endpoint ranks.
+
+The new local histogram is
+  {1:2248, 2:896, 3:168, 4:336, 5:392, 8:24, 9:8}.
+Its rank mass is 9*680 + 240*8 + 72 = 8112. There are 4072 local children.
+There are more local children than in the old r783 word, but substantially
+less helper rank mass; the complete moment, not a count proxy, decides gain.
+
+2. Exact Hamming geometry and signed packet algebra
+
+Use the pinned PR370 table of 120 E8 root lines in Construction-A coordinates:
+eight coordinate lines 2e_i and 112 sign lines on the 14 weight-four Hamming
+blocks. For integer representatives r_s, let G_st = r_s dot r_t / 2.
+The matrix C_st = 1 + G_st mod 2 has binary rank nine. The construction gives
+an explicit orthonormal realization p_s in F_2^9 with
+
+  p_s dot p_t = C_st,  and  p_s dot p_s = 1.
+
+Consequently the nonzero off-diagonal entries of G/2 occur only where a source
+line lies in the target hyperplane. The rank-eight central factorization is
+
+  (G/2)_ts = sum_i r_ti r_si / 4.
+
+For a source Hamming block d, a coordinate pair {i,j} in d, and epsilon=+-1,
+define the signed face packet
+
+  P(d,ij,epsilon) = sum_{s in d, r_si*r_sj=epsilon} r_si x_s.
+
+Each packet has four terms and its binary port span has rank three. Split
+the eight sign lines of a block into its two parity tetrads. Each tetrad pair
+occurs in two face packets with independent signed coefficient rows. The two
+rows are formed simultaneously by two determinant-one shears, rather than
+forming independent one-output sums. The packet factory uses its eight source
+registers and sixteen additional helpers. Its twelve retired registers can
+be oriented to retain a full rank-eight source basis. Exact elimination on
+that stock produces four coordinate sums without allocating more helpers.
+
+This comparison of an individual factory is not a claim that the whole old
+supplier used 48 helpers per block. The relevant complete counts are 783 and
+680, both charged with their full actual profiles.
+
+For two target/source blocks whose intersection is {i,j}, the contribution
+to target t is -r_ti P(d,ij,r_ti*r_tj)/2. The remaining within-block and
+coordinate-line contributions are explicit four-output signed transforms.
+Every one of the 14400 rational decoder entries is rechecked. Adding the
+eight coordinate centers leaves precisely the identity matrix on sources.
+
+The binary transvection x -> x+(x dot 43)*43 is orthogonal because 43 has
+even weight. It maps the constructed port set exactly to the old fixed E8
+port set. All frames and register indices are transported, so the old nine-
+window data routes and their global phase correction apply to exactly the
+same ordered ports, without introducing an unproved new covering geometry.
+
+3. General scalar-interface lemma
+
+Write z=(x,s) for the source and arbitrary dirty helper streams, and y for
+the targets. Permit scalar additions and invertible dyadic scalings between
+registers at the same current label. No target may feed a z register. The
+raw A/center/B word therefore has block form
+
+  z' = U z,
+  y' = V y + J x + K s,
+
+where U and V are invertible, and the retained-center operations are included
+in J and K. The actual word has J=I after its adjusted center scatter. The
+checks compute every coefficient over Q, rather than inferring it from a
+desired sparsity pattern.
+
+At frame zero, before entry adapters or recursive children, execute
+
+  y <- V^{-1} y - V^{-1} K s.
+
+Both y and s have label zero there. The code emits the literal inverse of
+the 56 disjoint two-output target bases and a direct, charged dyadic old-
+response matrix with 13216 additions. There is no uncharged oracle for K.
+It is computed from the explicit scalar word and serialized. All coefficient
+work is cleared immediately after its use.
+
+After the last main gate, finish every z register's climb to the full frame,
+then execute U^{-1} by reversing and inverting the non-target gates. These
+gates are legal at one common full frame, including helper-to-source gates.
+The result is exactly
+
+  (x,s,y) -> (x,s,y+x).
+
+The second orientation is the inverse transpose: negate and transpose every
+addition and invert every scale in the SAME event order. Each retained
+center is implemented by the transposed gather/child/scatter stream. The
+result is (x,s,y) -> (x-y,s,y). Both orientations are replayed on all 920
+independent live columns, including all 680 arbitrary helper columns.
+Missing compensation, missing output preconditioning, missing cleanup and
+the wrong inverse-transpose order are rejected.
+
+Why the scalar argument lifts to exact complex labels: for each binary
+subspace F use the exact canonical representative L(F). A climb from A to B
+acts as L(B)L(A)^{-1}. If two registers share F, a scalar addition commutes
+with their common L(F), as does a scalar scaling. Induction through the
+actual stream therefore gives the block-diagonal conjugation of its scalar
+matrix by the current labels. Center copies explicitly move from full to
+zero, or zero to full in the other orientation. The preconditioner uses
+only label-zero registers, and the z cleanup uses only full-label registers.
+Thus the proof never moves a scalar operation across unequal labels or
+identifies two frames merely because their ranks agree.
+
+Every used canonical frame, nested transition, center direction and endpoint
+adapter is independently lowered by the exact Gaussian Clifford compiler.
+Equalities include global phase. The old restricted gx gate-shape checker
+is not used to admit this new interface; the stronger explicit matrix and
+common-frame checks replace its source-immutability/target-read restrictions.
+This is a written finite algebraic extension, not a new Lean theorem.
+
+4. Complete programs and work lifetimes
+
+Each orientation emits 27537 events, including startup, entry/exit adapters,
+all recursive climbs, eight sequential center children, scalar operations
+and final cleanup. Temporary centers are initialized, used and erased one
+at a time. No center or coefficient work stream survives a live child.
+
+All added coefficients are dyadic. To apply a/2^j, compute |a| times the
+source by binary Horner additions on a cleared private stream, halve j
+times, accumulate with its sign, and clear the private stream. In-place
+scales are signed powers of two. Every such primitive is charged. This
+introduces no new denominator prime. Independent replay bounds the actual
+cancellation-free prefix norms, including coefficient work; a 192-bit local
+payload allowance is retained conservatively.
+
+5. Nine-window composition and finite bill
+
+Use the previously verified m=73 compressed nine-window geometry, four data
+pairs, eight replicas, and the original signed bridges, idle children,
+terminal exchange, terminal translations and full-cover phase correction.
+The source scalar identity and its negative inverse-transpose are exactly
+the two local interfaces consumed by that unchanged geometry.
+
+There are 680 whole-block banks per stage, each containing eight rank-nine
+helper blocks plus one paid rank-one padding child. The live width is
+
+  W = 240*4*8 + 9*680 = 13800.
+
+The conservative physical width is W+680+9+2=14491. The old-response matrix
+uses no persistent tableau, but the old-size reserve is still charged.
+The emitted owner table has 48960 distinct stage/replica/helper assignments.
+The new global profile is
+
+  {1:167976, 2:64512, 3:12096, 4:24192, 5:28224,
+   8:7488, 9:576, 16:3840, 32:3840, 48:3840}.
+
+Its rank deficit is 73*13800 - sum(r*H_r) = 2496. The maximum child is 48,
+and 73^2 > 2*48^2 supplies the same charged two-level halving argument.
+
+The finite bill is recomputed from the new scalar programs, bank owners,
+work stock and adapter counts. It is not asserted unchanged. The local
+primitive bound fits 2^48; the tape router fits 2^30000; the literal envelope
+fits 2^100000; the precision envelope fits 2^210000. The physical row
+coefficient is 15445, below the explicitly inherited external allowance
+20161. Full-cover corrections apply to all 13800 live families.
+
+6. Conditional numerical conclusion and retained assumptions
+
+Two independent rational moment engines, with the inherited 10^-16 bad-
+branch envelope, accept
+
+  b = 1049104978040580 / 10^18 = 0.001049104978040580
+
+and reject the next 10^-18 grid point. With the unchanged bit parameter
+c=0.001057833103534317, three bootstrap steps and all 47 strict outer
+conditions give the prospective finite-assembly value
+
+  kappa = 1048005508028206 / 10^18
+        = 0.001048005508028206, approximately 2^-9.898137985359.
+
+The finite statement is conditional on the same all-size weighted compiler,
+common fine grid, restored-row/base allowance, tape/prime/precision and
+analytic transfer interfaces as the retained nine-stage result. The new
+scalar-interface lemma above and its serialized program are additional
+reviewable material, not an appeal to gx accepting a program outside its
+grammar. No unconditional integer-multiplication theorem is claimed.
+The result is approximately +4.97% over the locally verified retimed bound,
+and remains well short of 2^-9. A fresh extracted-package replay is required
+by this research workflow before publication or final promotion.
+
+Attribution
+
+The root table and the motivation to use Hamming coordinates come from the
+already pinned PR370 bit package (Dylan Crow, with Anthropic Claude assistance).
+The E8 complex label family, original scalar word and gx interfaces are due
+to Jacob Sussman. The retained complex admission, pricing and global analytic
+interfaces are credited in the original package notices and PROOF.txt.
+The mutable-basis packet word, transported geometry, expanded scalar proof,
+new finite program and the present checks were developed in this local
+research session by Zhihao Chen with OpenAI Codex assistance.
diff --git a/research/early-reset-source-banks/vendor/pr433/proofs/PR426.md b/research/early-reset-source-banks/vendor/pr433/proofs/PR426.md
new file mode 100644
index 0000000000..e589cfbf50
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/proofs/PR426.md
@@ -0,0 +1,108 @@
+# Construction, dependencies and sufficient argument
+
+The fixed complex witness starts from Chafik Boukhalfa's far-retimed E8 word
+and applecrusher's two equal-helper substitutions and two frame refinements.
+It additionally replaces helper 556 by -2 times helpers 354 and 461, then
+helper 576 by -2 times helpers 402 and 478 after compaction. Exact clean
+linear forms agree at every substituted read. The backward upper-frame and
+forward nested repairs retain copied-total pins and final address caps.
+R is 779. The actual new dirty response and cleanup are regenerated: equality
+on clean values alone is not the arbitrary-dirt proof.
+
+The signed prefix restoration is the PR390/395 bracket. For 25 disjoint
+targets, subtract lambda times the donor before the prefix, emit the exact
+source/write-version/frame difference, and restore lambda times that donor
+at the common recovery frame. Lambda is +1 or -1. The full rational main
+operator and all retained totals agree with the explicit same-width R779
+baseline on all 1,019 independent columns. Source/helper subwords agree
+exactly, so the new baseline's explicit dirty response and cleanup remain
+valid. The changed compiler permits a main Y read only when its target is Y;
+helper-to-X remains forbidden. Both signed orientations and private lifetimes
+are freshly admitted, with all actual Clifford phases and physical incidences.
+
+The shared entrance construction follows PR401/404. Each pivot p satisfies
+K_p + sum_d a_pd K_d = 0 in the explicit baseline response. Four re-pivots
+from PR412 replace the basis of these same relations, including the
+half-valued donor that otherwise fails the original sixths-denominator
+condition. PR410 enlarges eight entrance subspaces. Removed original helpers
+556 and 577 are mapped explicitly onto our R779 word. The shared layer has
+192 pivots, rank mass 350, and 496 literal unit shears. Its pivots and donors
+are disjoint, so this layer alone has (S-I)^2=0.
+
+PR409's four ordered groups, with PR412's two additional re-pivots, prepend
+55 more shears and admit ten further pivots. The combined word has 202
+gauges of rank mass 360 and 551 entrance shears. The complete chronological
+prefix need not have (S-I)^2=0. We check its actual product M S, all retained
+totals, and that every gauged target-response column is zero. Every entrance
+source is read before any earlier entrance operation writes it.
+
+Every one of the 551 omission controls is recomputed from the suffix
+response. If shear t += q s is removed, its suffix response is multiplied
+by -q times the original independent s column: earlier operations leave s
+unchanged by the read-before-write condition. A nonzero response is required
+for each omission; the entire changed scalar schedule is also replayed for
+sampled omissions. No global donor/pivot disjointness is assumed here. Both
+unchanged original gx.check1 and gxcore.mirror checkers pass, including the
+native denominator conditions. Every actual nested transition is charged.
+
+PR376's additional target201/helper491 frame change from rank eight to seven
+is checked for full operator equality and nested paid paths before gauging.
+PR404's target125/124 overlapping-prefix recovery requires a different
+chronological input and is not imported. Its numerical gain is not included.
+
+Each entrance chart is normalized explicitly. Even and degenerate E_p use
+the full two-sided exact Clifford factorization of F T_E inverse. The right
+inverse adapter precedes the entire old-response invocation; the left inverse
+adapter follows all main and helper cleanup. Both orientations retain every
+unitary address operator in the inverse-adjoint chronology. Rank-zero adapters
+are costed. All old/new/reflected Gaussian child pairs are recomputed,
+including Pauli signs and global phase. Newly assigned mixed-bank coordinate
+permutations and inverse owners are emitted and independently decoded.
+Padding is an exact fixed integer witness, not a claim of solver optimality.
+
+The new bit operation differs from the preceding all-dirt reset: a retired
+helper only needs its clean X-content zeroed before a new logical helper is
+placed in the same slot. An arbitrary residual helper value is allowed. The
+new helper basis determines a newly computed initial D compensation. C is
+the reversed helper subword, restoring every physical helper, including its
+original independent dirt. Each reset is checked exactly before reuse; the
+retired slot has no later original use, the new helper has no earlier use,
+and copied totals are protected. The combined word is checked over every
+independent binary column. It uses 55 fewer helpers (822 to 767). The initial 27 reuses and 26 frame
+moves are followed by two fixed rounds of 14 reuses and 14 frame moves.
+The later resets use exact two- or three-parent clean forms; every parent
+and all rebuilt dirty compensation are charged and independently checked. Integer signed-prefix bounds, lifting,
+copied-center controls, routes and whole-bank packing are recomputed rather
+than inferred from the clean calculation.
+
+The complex assembly has dimension 73, 14,286 live and
+15,075 physical families, 734 banks per stage, deficit 2,496,
+maximum child rank 48 and halving degree two. The bit assembly has dimension
+56, 10,409 live families, deficit 1,512 and halving degree two. Actual row
+coefficients fit the common 20,161 reserve. Both finite invoices and both
+exact rational moment engines retain the positive 10^-16 fallback. Adjacent
+10^-24 complex coarse grid points are rejected; the unchanged bit coarse
+grid remains 10^-18. The exact outer assembly uses positive eta=10^-24,
+beta=10^-18, eight finite bootstrap continuations and a 10^-27 grid; it
+checks 47 strict constraints and invalid eta/beta/adjacent-point controls.
+
+The complex coefficient is 254951444354246755323/250000000000000000000000. The bit coefficient is
+104575879789097/100000000000000000. The resulting conditional kappa is 40750673324589432209923/40000000000000000000000000.
+Using the preceding unchanged bit supplier with this same complex coefficient
+gives 203354853562950029967497/200000000000000000000000000, where the bit side
+binds. The new clean-reuse bit supplier removes that bottleneck. Its exact
+additional kappa contribution is recorded as the difference from this fair
+control; the combined witness is limited by the new complex coefficient.
+
+All original files are manifest-bound and immutable. A copied supplier tree
+is changed only through asserted literal edits. DERIVATION.json records every
+old/new digest, changed pin and textual difference. Both full predecessor
+supplier suites run before the changed admission. Expected records are checked
+after recomputation, rather than used to obtain a PASS.
+
+This is a sufficient finite conditional construction. The inherited all-size
+recursive suppliers, canonical/rank-zero compiler, compressed Clifford windows,
+dirty banking/cover, routing, restored-row, fixed tape, common-grid, Gaussian
+precision/recovery and analytic interfaces remain assumptions. No new full
+Lean theorem or unconditional integer-multiplication exponent is asserted.
+The target kappa > 0.002 is not attained by this witness.
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/clifford_exact.py b/research/early-reset-source-banks/vendor/pr433/vendor/clifford_exact.py
new file mode 100644
index 0000000000..166841a037
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/clifford_exact.py
@@ -0,0 +1,149 @@
+"""Small exact Gaussian-dyadic Clifford compiler, independent of gx internals.
+Paulis use i^p X^x Z^z. State vectors use integer Gaussian numerators / 2^d.
+The tableau is supplemented by a literal circuit, so global phases are kept.
+"""
+from dataclasses import dataclass
+
+def parity(x):return x.bit_count()&1
+def rank(rows):
+ p={}
+ for x in rows:
+  while x:
+   b=x.bit_length()-1
+   if b not in p:p[b]=x;break
+   x^=p[b]
+ return len(p)
+def transpose(rows,n):return tuple(sum(((rows[j]>>i)&1)<<j for j in range(n)) for i in range(n))
+def mv(rows,x):return sum(parity(r&x)<<i for i,r in enumerate(rows))
+def inv(rows,n):
+ a=[r|(1<<(n+i)) for i,r in enumerate(rows)]
+ for j in range(n):
+  k=next(i for i in range(j,n) if a[i]>>j&1);a[j],a[k]=a[k],a[j]
+  for i in range(n):
+   if i!=j and a[i]>>j&1:a[i]^=a[j]
+ assert [r&((1<<n)-1) for r in a]==[1<<i for i in range(n)]
+ return tuple(r>>n for r in a)
+def basis_extend(cols,n):
+ out=[]
+ for x in list(cols)+[1<<i for i in range(n)]:
+  if rank(out+[x])>len(out):out.append(x)
+ assert len(out)==n
+ return tuple(out)
+def nullspace(rows,n):
+ a=list(rows);p=[];k=0
+ for j in range(n):
+  t=next((i for i in range(k,len(a)) if a[i]>>j&1),None)
+  if t is None:continue
+  a[t],a[k]=a[k],a[t]
+  for i in range(len(a)):
+   if i!=k and a[i]>>j&1:a[i]^=a[k]
+  p.append(j);k+=1
+ return tuple((1<<j)|sum(((a[i]>>j)&1)<<v for i,v in enumerate(p)) for j in range(n) if j not in p)
+def pmul(a,b):
+ x,z,p=a;y,w,q=b
+ return x^y,z^w,(p+q+2*parity(z&y))%4
+def identity(n):return tuple([(1<<i,0,0) for i in range(n)]+[(0,1<<i,0) for i in range(n)])
+def apply(T,p):
+ n=len(T)//2;x,z,ph=p;out=(0,0,ph)
+ for i in range(n):
+  if x>>i&1:out=pmul(out,T[i])
+ for i in range(n):
+  if z>>i&1:out=pmul(out,T[n+i])
+ return out
+def compose(A,B):return tuple(apply(A,p) for p in B)
+def inverse(T):
+ n=len(T)//2;cols=[x|(z<<n) for x,z,p in T];rows=transpose(cols,2*n);cols_inv=transpose(inv(rows,2*n),2*n);out=[]
+ for j,w in enumerate(cols_inv):
+  x=w&((1<<n)-1);z=w>>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4))
+ return tuple(out)
+def qvalue(Q,alpha,x,n):
+ return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4
+def mul_i(a,p):
+ x,y=a;p%=4
+ return [(x,y),(-y,x),(-x,-y),(y,-x)][p]
+@dataclass
+class Op:
+ n:int
+ tab:tuple
+ circuit:list
+ def then(self,b):
+  assert self.n==b.n
+  return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit)
+ def adjoint(self):
+  circ=[]
+  for e in reversed(self.circuit):
+   if e[0]=='P':circ.append(('P',inv(e[1],self.n)))
+   elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2])))
+   elif e[0]=='C':circ.append(('C',e[1],-e[2]))
+   elif e[0]=='phase':circ.append(('phase',(-e[1])%4))
+   else:circ.append(e)
+  return Op(self.n,inverse(self.tab),circ)
+ def zero_state(self,basis=0):
+  N=1<<self.n;vec=[(0,0)]*N;vec[basis]=(1,0);den=0
+  for e in self.circuit:
+   if e[0]=='P':
+    v=[(0,0)]*N
+    for x,a in enumerate(vec):v[mv(e[1],x)]=a
+    vec=v
+   elif e[0]=='X':vec=[vec[x^e[1]] for x in range(N)]
+   elif e[0]=='D':vec=[mul_i(a,qvalue(e[1],e[2],x,self.n)) for x,a in enumerate(vec)]
+   elif e[0]=='phase':vec=[mul_i(a,e[1]) for a in vec]
+   elif e[0]=='C':
+    q,sgn=e[1:];v=[]
+    for x,(a,b) in enumerate(vec):
+     c,d=vec[x^q]
+     # C=(1+i)I/2+(1-i)X/2; inverse conjugates both coefficients.
+     v.append((a-sgn*b+c+sgn*d,b+sgn*a+d-sgn*c))
+    vec=v;den+=1
+   else:raise AssertionError(e)
+   while den and all((a&1)==(b&1)==0 for a,b in vec):vec=[(a//2,b//2) for a,b in vec];den-=1
+  return vec,den
+def ident(n):return Op(n,identity(n),[])
+def perm(n,G):
+ cols=transpose(G,n);gi=inv(G,n)
+ return Op(n,tuple([(a,0,0) for a in cols]+[(0,a,0) for a in gi]),[('P',tuple(G))])
+def diag(n,Q,alpha=None):
+ Q=tuple(Q);assert transpose(Q,n)==Q
+ alpha=tuple(alpha) if alpha is not None else tuple((Q[i]>>i)&1 for i in range(n))
+ assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n))
+ return Op(n,tuple([(1<<i,Q[i],alpha[i]) for i in range(n)]+[(0,1<<i,0) for i in range(n)]),[('D',Q,alpha)])
+def cgate(n,q,sgn=1):
+ return Op(n,tuple([(1<<i,0,0) for i in range(n)]+[(q if q>>i&1 else 0,1<<i,(3*sgn)%4 if q>>i&1 else 0) for i in range(n)]),[('C',q,sgn)])
+def xgate(n,b):return Op(n,tuple([(1<<i,0,0) for i in range(n)]+[(0,1<<i,2*((b>>i)&1)) for i in range(n)]),[('X',b)])
+def fourier(n,axes=None):
+ out=ident(n)
+ for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<<i))
+ return out
+def hadamard(n,axes):
+ axes=list(axes);Q=tuple(1<<i if i in axes else 0 for i in range(n));S=diag(n,Q)
+ return S.then(fourier(n,axes)).then(S)
+def canonical_frame(n,U):
+ r=len(U)
+ if r==0:return ident(n)
+ if r==n:return fourier(n)
+ G=transpose(basis_extend(U,n),n);gi=inv(G,n);Q=tuple((1<<i)^sum(parity(gi_i&gi_j)<<j for j,gi_j in enumerate(transpose(gi,n))) for i,gi_i in enumerate(transpose(gi,n)))
+ K=perm(n,G).then(diag(n,Q))
+ return K.adjoint().then(fourier(n,range(r))).then(K)
+def monomial(op):
+ n=op.n;T=op.tab;assert all(x==0 and p%2==0 for x,z,p in T[n:]);G=transpose([x for x,z,p in T[:n]],n);b=mv(G,sum((p//2)<<i for i,(x,z,p) in enumerate(T[n:])))
+ gt=transpose(G,n);cols=[mv(gt,z) for x,z,p in T[:n]];Q=transpose(cols,n);alpha=[(p-2*parity(b&z))%4 for x,z,p in T[:n]]
+ out=diag(n,Q,alpha).then(perm(n,G)).then(xgate(n,b));assert out.tab==T
+ vec,den=op.zero_state();assert den==0 and all(a==(0,0) for i,a in enumerate(vec) if i!=b);phase=[(1,0),(0,1),(-1,0),(0,-1)].index(vec[b]);out=out.then(Op(n,identity(n),[('phase',phase)]));assert out.zero_state()==op.zero_state()
+ return out,dict(matrix_rows=G,offset=b,quadratic_rows=Q,linear_Z4=alpha,phase=phase)
+def lower_child(op):
+ n=op.n;Bcols=[x for x,z,p in op.tab[n:]];r=rank(Bcols)
+ if not r:
+  mon,rec=monomial(op);return dict(rank=0,left=rec,right=None),mon
+ G=transpose(basis_extend(Bcols,n),n);A=inv(G,n);PA=perm(n,A);part=op.then(PA);Bcols=[x for x,z,p in part.tab[n:]];Dcols=[z for x,z,p in part.tab[n:]]
+ picks=[];selected=[]
+ for j,x in enumerate(Bcols):
+  if rank(selected+[x])>len(selected):picks.append(j);selected.append(x)
+ assert len(picks)==r and all(x>>r==0 for x in Bcols)
+ Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<<r)-1) for j in picks],r)
+ Qsmall=tuple(sum(parity(row&col)<<j for j,col in enumerate(transpose(Bi,r))) for row in Dr);Q=Qsmall+(0,)*(n-r);DQ=diag(n,Q)
+ V=part.then(DQ).then(hadamard(n,range(r)));assert all(x==0 for x,z,p in V.tab[n:]);Vmon,Vrec=monomial(V)
+ S=diag(n,tuple(1<<i if i<r else 0 for i in range(n)))
+ left=S.adjoint().then(DQ.adjoint()).then(PA.adjoint());right=Vmon.then(S.adjoint()).then(xgate(n,(1<<r)-1))
+ lmon,lrec=monomial(left);rmon,rrec=monomial(right);compiled=rmon.then(fourier(n,range(r))).then(lmon)
+ assert compiled.tab==op.tab and compiled.zero_state()==op.zero_state()
+ return dict(rank=r,left=lrec,right=rrec),compiled
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/engines/base_two_moment.py b/research/early-reset-source-banks/vendor/pr433/vendor/engines/base_two_moment.py
new file mode 100644
index 0000000000..14a90fa0e7
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/engines/base_two_moment.py
@@ -0,0 +1,63 @@
+#!/usr/bin/env python3
+"""Maintainer arithmetic cross-check of the pinned PR39 certificate.
+
+Uses no producer/checker imports. Counts are inputs, not proved by this script.
+80-term rational logarithms and 12-term exponentials independently enclose
+the two moments. The accompanying written review addresses their realization.
+"""
+import argparse
+from fractions import Fraction as Q
+from hashlib import sha256
+import json
+from pathlib import Path
+
+ROOT = Path(__file__).resolve().parents[1]
+GRID = 10**30
+
+
+def require(condition, message):
+    if not condition:
+        raise ValueError(message)
+
+
+def log_unit(x):
+    require(1 <= x <= 2, "logarithm range")
+    z = (x-1)/(x+1)
+    lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0))
+    return lo, lo+2*z**161/(161*(1-z*z))
+
+
+def log_bounds(x):
+    k = 0
+    while x > 2:
+        x /= 2
+        k += 1
+    lo, hi = log_unit(x)
+    l2, u2 = log_unit(Q(2))
+    lo, hi = lo+k*l2, hi+k*u2
+    # Outward rational rounding keeps later certificates compact.
+    return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID)
+
+
+def exp_bounds(x):
+    require(0 <= x < 1, "exponential range")
+    term = total = Q(1)
+    for j in range(1, 13):
+        term *= x/j
+        total += term
+    tail = term*x/13/(1-x/14)
+    return total, total+tail
+
+
+def moment(m, W, entries, saving):
+    lo = hi = Q(0)
+    for t, count in entries:
+        t, count = int(t), int(count)
+        require(0 < t < m and count > 0, "improper child")
+        l, u = log_bounds(Q(m, t))
+        lower = exp_bounds(saving*l)[0]
+        upper = exp_bounds(saving*u)[1]
+        lo += Q(t*count, m*W)*lower
+        hi += Q(t*count, m*W)*upper
+    return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID)
+
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/engines/moment.py b/research/early-reset-source-banks/vendor/pr433/vendor/engines/moment.py
new file mode 100644
index 0000000000..7d697cb452
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/engines/moment.py
@@ -0,0 +1,113 @@
+"""Independent prospective ordinary five-stage cost, never supplier admission.
+
+Consumes a raw one-invocation ledger made from the actual source/internal/target
+paths.  No packed profile is used as an input.  Missing physical/finite/compiler
+obligations must remain explicit in the accompanying report.
+"""
+from collections import Counter
+from decimal import Decimal, localcontext, ROUND_FLOOR
+from fractions import Fraction as F
+from functools import lru_cache
+from math import factorial
+import hashlib, json, sys
+from pathlib import Path
+
+DYAD = 1 << 224
+
+def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD)
+def ceil(x): return -floor(-x)
+
+@lru_cache(None)
+def logarithm(x):
+    """Mercator bounds after binary reduction; ln(2) via two Mercator sums.
+
+    For 1 <= y < 2, log(y) is an alternating series in z=y-1.
+    We instead reduce to 1 <= y < 3/2, and bound log(3/2) and
+    log(2) by the same alternating series at z=1/2 and z=1/3,
+    using log(2)=log(3/2)+log(4/3). All sums are exact rationals.
+    """
+    assert x >= 1
+    k = 0
+    while x >= 2: x /= 2; k += 1
+    j = int(x >= F(3, 2))
+    if j: x /= F(3, 2)
+    def mercator(y):
+        z=y-1
+        assert 0 <= z <= F(1,2)
+        # An even partial sum is below log; the next term bounds its tail.
+        t=z; s=F(0)
+        for n in range(1, 225):
+            s += (t if n & 1 else -t)/n
+            t *= z
+        return s, s+t/225
+    a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3))
+    return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f)
+
+def exponential(l,u):
+    assert 0 <= l <= u < F(1,10)
+    def poly(x):
+        s=t=F(1)
+        for j in range(1,25): t=t*x/j; s+=t
+        return s,t
+    lo,_=poly(l);hi,last=poly(u)
+    return floor(lo),ceil(hi+last*u/25/(1-u/26))
+
+def moment(H,m,W,a,bad=False):
+    lo=hi=F(0)
+    for r,n in H.items():
+        assert 0 < r < m and n > 0
+        l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u)
+        p=F(r*n,m*W);lo+=p*e;hi+=p*f
+    if bad:
+        # Existing envelope shape, only conditionally portable to the new cover.
+        l,u=logarithm(F(m));e,f=exponential(a*l,a*u)
+        p=F(32*m*sum(H.values()),10**16*W)
+        lo+=p*e;hi+=p*f
+    return floor(lo),ceil(hi)
+
+def decimal(x):
+    with localcontext() as c:
+        c.prec=70
+        return str(Decimal(x.numerator)/Decimal(x.denominator))
+
+def certify(H,m,W,bad=False):
+    with localcontext() as c:
+        c.prec=70
+        terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()]
+        fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0)
+        lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003')
+        for _ in range(210):
+            a=(lo+hi)/2
+            if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a
+            else:hi=a
+        q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR))
+    lo=F(q,10**24);hi=lo+F(1,10**24)
+    lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad)
+    assert lv[1]<1<hv[0],(lo,hi,lv,hv)
+    k=F(694782719690783,10**18);required=k/(1-k)
+    at=moment(H,m,W,required,bad)
+    return dict(lower=decimal(lo),upper=decimal(hi),lower_endpoint_residual_upper=decimal(lv[1]-1),upper_endpoint_residual_lower=decimal(hv[0]-1),strict_rational_signs=True,moment_minus_one_at_current_k_required_rate=[decimal(x-1) for x in at],nominal_k_ceiling_interval=[decimal(lo/(1+lo)),decimal(hi/(1+hi))])
+
+def price(core,gauges,R,v,h):
+    core=Counter({int(k):n for k,n in core.items() if n})
+    gauges=Counter({int(k):n for k,n in gauges.items() if n})
+    m=5*h;W=4*v+R;ell=h*(h-2)  # p = 10 port: was the p = 12 literal 24*22
+    assert sum(r*n for r,n in core.items())==h*R+2*v*(h-1)+ell-sum(r*n for r,n in gauges.items())
+    idle=Counter({r:2*v for r in (2*h-2,h-1,2*h+2,4)})
+    ans={}
+    for name,bundled in [('separate_rank_a_corrections',False),('bundled_rank_5a_corrections',True)]:
+        H=Counter({r:5*n for r,n in core.items()});H.update(idle)
+        for a,n in gauges.items():H[5*a if bundled else a]+=n if bundled else 5*n
+        mass=sum(r*n for r,n in H.items());assert m*W-mass==4*v-5*ell
+        ans[name]=dict(histogram=dict(sorted(H.items())),calls=sum(H.values()),rank_mass=mass,deficit=m*W-mass,maxchild=max(H),root=certify(H,m,W),root_with_inherited_bad_envelope=certify(H,m,W,True))
+    return dict(status='PROSPECTIVE_COST_ONLY_NOT_PHYSICAL_OR_ASSEMBLY_ADMISSION',m=m,W=W,R=R,v=v,h=h,copy_calls_per_invocation=h,copy_rank=h-2,ell=ell,raw_core=dict(sorted(core.items())),auxiliary_entrances=dict(sorted(gauges.items())),idle_histogram=dict(sorted(idle.items())),profiles=ans,interval_method='Independent exact rational alternating Mercator log bounds (224 terms), 24-degree exponential with geometric tail, 224-bit outward dyadic rounding; Decimal only proposes endpoints.',bad_envelope_scope='10^-16 and 32*m^2 rank-one fallback calls per paid child are inherited assumptions, not a new m = 5h admission.')
+
+if __name__=='__main__':
+    path=Path(sys.argv[1]);raw=path.read_bytes();data=json.loads(raw)
+    core=data['one_stage_helper_histogram_including_copies']
+    gauges=data['auxiliary_entrance_rank_histogram']
+    result=price(core,gauges,data['physical_R'],data['v'],data['h'])
+    result['input_ledger_sha256']=hashlib.sha256(raw).hexdigest()
+    result['input_head']=data['head']
+    result['one_invocation_parts']={key:data[key] for key in ('physical_internal_excluding_center_copies','paid_center_copy_histogram','physical_source_histogram','physical_target_histogram')}
+    print(json.dumps(result,indent=2))
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/engines/outer.py b/research/early-reset-source-banks/vendor/pr433/vendor/engines/outer.py
new file mode 100644
index 0000000000..43007488ad
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/engines/outer.py
@@ -0,0 +1,58 @@
+#!/usr/bin/env python3
+"""Exact semantic assembly with the balanced prefix, for the paired-cube network.
+
+Prepared by eumemic with Anthropic Claude assistance. Apache-2.0. The 47 strict constraints, the seven margins and
+the finite bridge are unchanged from icekylinx's scripts/structured_bulk_assembly.py (PR144, adapted from Zhihao
+Chen's PR23). The prefix is the RaD project's (hipotures) balanced positional transform, reviewed in
+references/semantic-bulk/rad20/reports/review-balanced-transform.md: the prefix margin becomes 1-eps instead of
+1-eps(1+c), and eps(1+c)<1 remains a strict geometric condition (K_geometry) whose gap need not exceed kappa.
+The parameters c=q+eta/4 and eps=(1-eta)/(1+q) are those of the reviewed balanced assembly in
+research/copied-fixed/balanced_assembly.py, with its backoff h equal to eta. Nothing else differs from
+structured_bulk_assembly.assembly.
+"""
+from fractions import Fraction as Q
+
+
+def assembly(bit_saving,complex_saving,bridge,kappa,eta=Q(1,10**8),beta=Q(1,4)):
+    a,b=bit_saving,complex_saving
+    tau,sigma=1-a,1-b
+    q=a*(1-2*eta); lp=1-q; lam=(tau+lp)/2
+    c=q+eta/4; eps=(1-eta)/(1+q)
+    minimum=eps*q; r=(minimum+1-eps)/2; delta=eta/8
+    internal=tau+(1-beta)*max(sigma-tau,Q(0));leaf=sigma+beta*(1-sigma)
+    margins=dict(balanced_prefix=1-eps,coordinate_movement=a,
+        compact_phase_layer=minimum,bulk_exposure=a,
+        Gaussian_arithmetic=min(1-eps-delta,r-delta),
+        scalar_work=1-eps-delta,dimension=eps)
+    slacks=dict(bit_positive=a,complex_above_bit=b-a,
+        complex_below_one_over32=Q(1,32)-b,beta_positive=beta,
+        beta_below_one=1-beta,leaf_saving_above_bit=(1-beta)*b-a,
+        q_positive=q,q_below_internal=1-internal-q,q_below_leaf=1-leaf-q,
+        c_positive=c,c_below_one=1-c,q_below_reservations=c-q,
+        lambda_above_tau=lam-tau,lambda_above_sigma=lam-sigma,
+        lambda_above_internal=lam-internal,lambda_prime_above_lambda=lp-lam,
+        compact_leaf=lp-leaf,compact_reservations=lp-(1-c),
+        lambda_prime_below_one=q,epsilon_positive=eps,epsilon_below_one=1-eps,
+        guard_width=1-eps,K_geometry=1-eps*(1+c),K_dominates_log=eps*c,
+        record_suffix=1-eps,phase_local=1-eps-delta,phase_boundary=r-delta,
+        gamma_sublinear=1-eps-r,cell_above_band=eps-(1-r)/2,
+        prime_interval_packing=1-eps,alpha_positive=r,alpha_below_one=1-r,
+        alpha_below_one_fourth=Q(1,4)-r,delta_positive=delta,
+        delta_below_one_eighth=Q(1,8)-delta,short_record_fallback=eps-a,
+        small_field_exposure=1-eps-minimum,
+        artificial_boundary=8-eps+r-delta-minimum,
+        literal_scalar_guard=Q(bridge['semantic']['strict_literal_gap']),
+        row_product_gap=bridge['rows']['degree_gap'])
+    slacks.update({name+'_above_kappa':val-kappa for name,val in margins.items()})
+    assert len(slacks)==47 and len(margins)==7
+    assert all(v>0 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0}
+    assert min(margins.values())==minimum
+    assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2
+    assert 1-eps*(1+c)==eta-eps*eta/4
+    return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma,
+            eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam,
+            lambda_prime=lp,alpha_squared_power=r,delta=delta,
+            C0=bridge['semantic']['C0'],C1=1,kappa=kappa),
+        strict_constraints=slacks,margins=margins,minimum_margin=minimum,
+        absorption_gap=minimum-kappa,
+        recurrence=dict(internal=internal,leaf=leaf,reservations=1-c))
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/export_records.py b/research/early-reset-source-banks/vendor/pr433/vendor/export_records.py
new file mode 100644
index 0000000000..3632d37048
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/export_records.py
@@ -0,0 +1,72 @@
+"""Export a bitE8/1 word to the PR249 record format read by PR #266's official cohort checkers and PR #315's engines.
+usage: python3 export_records.py word.json[.gz] OUTDIR   ->  OUTDIR/{249-records.bin,249-states.json,frames.json}
+Records are int32 six-tuples: MOVE(0,role,old,new,rank,0), ADD(1,dst,src,1,frame,phase), COPY(2,centre,temp,frame,ZERO,rank),
+ERASE(3,centre,temp,frame,ZERO,0).  A multi-source gate becomes one ADD per source, preceded by the MOVEs of every
+register of the gate to the gate frame.  Frames: integer basis rows B (label vectors of the frame's root lines in the
+word's coordinates, a rational basis) and integer annihilator rows A (standard dot product), as PR #266 expects.
+Dylan Crow, with Anthropic Claude assistance; Apache-2.0."""
+import sys, json, gzip, struct, os
+from fractions import Fraction as Fr
+from math import gcd
+def load(p):
+    with (gzip.open(p,'rt') if p.endswith('.gz') else open(p)) as f: return json.load(f)
+c=load(sys.argv[1]); out=sys.argv[2]; os.makedirs(out,exist_ok=True)
+v,R,h=c['v'],c['R'],c['h']; n=2*v+R; lines=c['lines']
+def basis(idx):
+    rows=[]; piv=[]; B=[]
+    for i in idx:
+        x=[Fr(a) for a in lines[i]]
+        for p,r in zip(piv,rows):
+            if x[p]: f=x[p]/r[p]; x=[a-f*b for a,b in zip(x,r)]
+        nz=[k for k in range(h) if x[k]]
+        if nz: rows.append(x); piv.append(nz[0]); B.append(list(lines[i]))
+    return B,rows,piv
+def annihilator(rows,piv):
+    # rows in echelon (pivot columns piv); free columns give the null space of the row space under the dot product
+    # reduce to RREF
+    R_=[r[:] for r in rows]
+    for i,(p,r) in enumerate(zip(piv,R_)):
+        R_[i]=[a/r[p] for a in r]
+    for i,p in enumerate(piv):
+        for j in range(len(R_)):
+            if j!=i and R_[j][p]: f=R_[j][p]; R_[j]=[a-f*b for a,b in zip(R_[j],R_[i])]
+    free=[k for k in range(h) if k not in piv]; A=[]
+    for f in free:
+        a=[Fr(0)]*h; a[f]=Fr(1)
+        for i,p in enumerate(piv): a[p]=-R_[i][f]
+        L=1
+        for x in a: L=L*x.denominator//gcd(L,x.denominator)
+        ai=[int(x*L) for x in a]; g=0
+        for x in ai: g=gcd(g,abs(x))
+        A.append([x//g for x in ai])
+    return A
+frames={}
+for k,idx in enumerate(c['frames']):
+    B,rows,piv=basis(idx); A=annihilator(rows,piv) if B else [[int(i==j) for j in range(h)] for i in range(h)]
+    assert all(sum(a*b for a,b in zip(x,y))==0 for x in A for y in B) and len(A)+len(B)==h
+    frames[str(k)]=dict(dim=len(B),B=B,A=A)
+dim=[frames[str(k)]['dim'] for k in range(len(c['frames']))]
+ZERO=[k for k in range(len(dim)) if dim[k]==0]; assert len(ZERO)==1; ZERO=ZERO[0]
+cur=list(c['start']); rec=[]
+def move(r,f):
+    if cur[r]!=f: rec.append((0,r,cur[r],f,dim[f]-dim[cur[r]],0)); cur[r]=f
+def run(gates,ph):
+    for f,d,srcs in gates:
+        for r in [d]+srcs: move(r,f)
+        for s in srcs: rec.append((1,d,s,1,f,ph))
+run(c['D'],1); run(c['A'],2)
+temp=n
+for k,q in enumerate(c['ret']):
+    fq=cur[q]; rec.append((2,q,temp,fq,ZERO,dim[fq]))
+    for t,row in enumerate(c['scatter']):
+        if k in row: rec.append((1,v+t,temp,1,ZERO,3))
+    rec.append((3,q,temp,fq,ZERO,0))
+run(c['B'],4); run(c['C'],5)
+for r in range(n): move(r,c['final'][r])
+with open(out+'/249-records.bin','wb') as f:
+    for e in rec: f.write(struct.pack('<6i',*e))
+st=dict(n=n,v=v,h=h,R=R,ZERO=ZERO,initial={str(r):c['start'][r] for r in range(n)},final={str(r):c['final'][r] for r in range(n)},
+        retained_totals=c['ret'],source_owned_roles=[],regs=[])
+json.dump(st,open(out+'/249-states.json','w'),sort_keys=True,separators=(',',':'))
+json.dump(dict(frames=frames),open(out+'/frames.json','w'),sort_keys=True,separators=(',',':'))
+print('exported',len(rec),'records,',len(frames),'frames, n',n,'ZERO',ZERO)
diff --git a/research/early-reset-source-banks/vendor/pr433/vendor/hamming_packets.py b/research/early-reset-source-banks/vendor/pr433/vendor/hamming_packets.py
new file mode 100644
index 0000000000..c129996656
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/vendor/hamming_packets.py
@@ -0,0 +1,253 @@
+"""A structural prototype: mutable source bases and simultaneous signed packets.
+
+Input geometry is the pinned PR370 Hamming E8 root table. The binary realization,
+packet construction, two-shear synthesis and arbitrary-dirt replay below are new
+local experiments. This does NOT produce a complete improved E8 supplier.
+"""
+import gzip
+import hashlib
+import itertools as it
+import json
+import random
+from collections import Counter,defaultdict
+from fractions import Fraction as Q
+from pathlib import Path
+
+OUT=Path('work/complex-network/hamming');OUT.mkdir(parents=True,exist_ok=True)
+SRC=Path('work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz')
+word=json.load(gzip.open(SRC));roots=word['lines'];v=len(roots)
+G=[[sum(x*y for x,y in zip(a,b))//2 for b in roots] for a in roots]
+C=[sum((1^(G[i][j]&1))<<j for j in range(v)) for i in range(v)]
+
+def basis(vectors):
+    b={}
+    for x in vectors:
+        for p in sorted(b,reverse=True):
+            if x>>p&1:x^=b[p]
+        if x:
+            p=x.bit_length()-1
+            for q in b:
+                if b[q]>>p&1:b[q]^=x
+            b[p]=x
+    return tuple(b[p] for p in sorted(b,reverse=True))
+
+def inside(a,b):return basis(a+b)==b
+
+indices=[]
+for i,row in enumerate(C):
+    if len(basis([C[j] for j in indices]+[row]))>len(indices):indices.append(i)
+assert len(indices)==9
+gram=[sum(((C[i]>>j)&1)<<k for k,j in enumerate(indices)) for i in indices]
+def ip(a,b):
+    return sum(((a>>i)&1)*((gram[i]&b).bit_count()&1) for i in range(9))&1
+orth=[]
+for step in range(9):
+    choices=[x for x in range(1,512) if ip(x,x) and all(not ip(x,y) for y in orth)]
+    chosen=next(x for x in choices if step==8 or any(y!=x and not ip(x,y) for y in choices))
+    orth.append(chosen)
+assert all(ip(x,y)==int(i==j) for i,x in enumerate(orth) for j,y in enumerate(orth))
+ports=[]
+for i in range(v):
+    row=sum(((C[i]>>j)&1)<<k for k,j in enumerate(indices))
+    ports.append(sum(((row&e).bit_count()&1)<<k for k,e in enumerate(orth)))
+assert len(set(ports))==v and all(p.bit_count()&1 for p in ports)
+assert all(((ports[i]&ports[j]).bit_count()&1)==((C[i]>>j)&1) for i in range(v) for j in range(v))
+
+blocks=defaultdict(list);frame_lines={}
+for i,r in enumerate(roots):
+    support=tuple(k for k,x in enumerate(r) if x)
+    if len(support)==4:blocks[support].append(i)
+    else:assert len(support)==1;frame_lines[support[0]]=i
+assert len(blocks)==14 and all(len(xs)==8 for xs in blocks.values())
+
+def sparse_add(rows,t,s,q):
+    for j,x in list(rows[s].items()):
+        z=rows[t].get(j,Q(0))+q*x
+        if z:rows[t][j]=z
+        else:rows[t].pop(j,None)
+
+def simulate(n,events):
+    rows=[{r:Q(1)} for r in range(n)]
+    for t,s,q in events:sparse_add(rows,t,s,q)
+    return rows
+
+def serialize(events):return [[t,s,q.numerator,q.denominator] for t,s,q in events]
+
+packet_table={};module_receipts=[];all_programs=[]
+for block,ids in sorted(blocks.items()):
+    ids=sorted(ids);pos={s:i for i,s in enumerate(ids)}
+    tetrads=[sorted(s for s in ids if sum(roots[s][k]<0 for k in block)%2==p) for p in (0,1)]
+    assert all(len(t)==4 for t in tetrads)
+    faces=[]
+    for i,j in it.combinations(block,2):
+        for epsilon in (-1,1):
+            support=[s for s in ids if roots[s][i]*roots[s][j]==epsilon]
+            content={s:Q(roots[s][i]) for s in support}
+            frame=basis([ports[s] for s in support]);assert len(frame)==3
+            key=(block,(i,j),epsilon);packet_table[key]=(content,frame)
+            faces.append((key,content,frame))
+    pair_uses=defaultdict(list)
+    for f,(_,content,frame) in enumerate(faces):
+        for tet in tetrads:
+            pair=tuple(s for s in tet if s in content)
+            assert len(pair)==2
+            pair_uses[pair].append(f)
+    assert len(pair_uses)==12 and all(len(fs)==2 for fs in pair_uses.values())
+    bysource=defaultdict(list)
+    for pair in sorted(pair_uses):
+        for s in pair:bysource[s].append(pair)
+    # One of the three pair branches is carried by x itself, two by helpers.
+    regs={};nextreg=8;events=[];event_frames=[];cur=[basis([ports[s]]) for s in ids]
+    start=list(cur);dead=[]
+    def add(t,s,q,F):
+        assert t!=s and inside(cur[t],F) and inside(cur[s],F)
+        cur[t]=cur[s]=F;events.append((t,s,Q(q)));event_frames.append(F)
+    for s in ids:
+        for j,pair in enumerate(sorted(bysource[s])):
+            if j==0:reg=pos[s]
+            else:
+                reg=nextreg;nextreg+=1;cur.append(());start.append(())
+                add(reg,pos[s],1,basis([ports[s]]))
+            regs[pair,s]=reg
+    assert nextreg==24
+    partial={}
+    for pair,fs in sorted(pair_uses.items()):
+        s,t=pair;a,b=regs[pair,s],regs[pair,t];f,g=fs
+        alpha,beta=faces[f][1][s],faces[f][1][t]
+        gamma,delta=faces[g][1][s],faces[g][1][t]
+        assert alpha*delta-beta*gamma in (-2,2)
+        F=basis([ports[s],ports[t]]);assert len(F)==2
+        add(a,b,beta/alpha,F)
+        k=gamma/(delta-gamma*beta/alpha)
+        add(b,a,k,F)
+        partial[f,pair]=(a,alpha)
+        partial[g,pair]=(b,delta-gamma*beta/alpha)
+    pre_packets=simulate(24,events)
+    def clean_rank(registers):
+        piv={}
+        for reg in registers:
+            row=[pre_packets[reg].get(i,Q(0)) for i in range(8)]
+            for j in sorted(piv):
+                q=row[j]
+                if q:row=[a-q*b for a,b in zip(row,piv[j])]
+            j=next((i for i,q in enumerate(row) if q),None)
+            if j is not None:
+                q=row[j];piv[j]=[a/q for a in row]
+        return len(piv)
+    choices=[[value for (ff,pair),value in partial.items() if ff==f] for f in range(12)]
+    rng=random.Random(38639);orientation=None
+    for trial in range(4096):
+        bits=rng.randrange(1<<12)
+        if clean_rank([pieces[1-((bits>>f)&1)][0] for f,pieces in enumerate(choices)])==8:
+            orientation=bits;break
+    assert orientation is not None
+    outputs=[]
+    for f,(key,content,F) in enumerate(faces):
+        pieces=[value for (ff,pair),value in partial.items() if ff==f]
+        assert len(pieces)==2
+        if orientation>>f&1:pieces.reverse()
+        (a,alpha),(b,beta)=pieces
+        add(a,b,beta/alpha,F)
+        outputs.append((a,alpha));dead.append(b)
+    assert len(set(r for r,a in outputs))==12 and len(set(dead))==12
+    assert not set(dead)&{r for r,a in outputs}
+    core=simulate(24,events)
+    for f,(reg,scale) in enumerate(outputs):
+        clean={ids[j]:scale*x for j,x in core[reg].items() if j<8 and x}
+        assert clean==faces[f][1]
+
+    # Probe complete borrowing: output each packet, cancel its old dirt at label
+    # zero, then undo every source/helper operation at the full frame.
+    # Actual supplier consumers and their remaining chronology are NOT inferred.
+    n=36;main=events.copy();dirt=[];chosen_targets=[]
+    for f,(reg,scale) in enumerate(outputs):
+        main.append((24+f,reg,scale))
+        for j,q in core[reg].items():
+            if j>=8:dirt.append((24+f,j,-scale*q))
+        valid=[t for t in range(v) if all((ports[t]&x).bit_count()%2==0 for x in faces[f][2])]
+        assert valid;chosen_targets.append(valid[0])
+    cleanup=[(t,s,-q) for t,s,q in reversed(events)]
+    actual=simulate(n,dirt+main+cleanup)
+    for r in range(24):assert actual[r]=={r:Q(1)}
+    for f in range(12):
+        expected={24+f:Q(1)}
+        expected.update({pos[s]:q for s,q in faces[f][1].items()})
+        assert actual[24+f]==expected
+    # A mutation of the compensator must corrupt at least one arbitrary dirt column.
+    wrong=simulate(n,main+cleanup)
+    assert any(wrong[r]!=actual[r] for r in range(24,36))
+    # Inverse-transpose: transpose and negate each elementary shear in the SAME
+    # event order. Reversing as well would generally compute the wrong map.
+    dual=simulate(n,[(s,t,-q) for t,s,q in dirt+main+cleanup])
+    for r in range(n):
+        expected={r:Q(1)}
+        if r<8:
+            expected.update({24+f:-content[ids[r]] for f,(_,content,F) in enumerate(faces) if ids[r] in content})
+        assert dual[r]==expected
+    receipt={'block':block,'source_lines':ids,'packets':12,'pair_butterflies':12,
+             'packet_additions':len(events),'live_source_registers_borrowed':8,
+             'helper_registers':16,'total_source_and_helper_registers':24,
+             'retired_register_clean_rank':8,
+             'independent_pair_branch_comparison_helpers':48,
+             'comparison_scope':'48 is a specified independent two-input-form implementation, not the helper count of the current r783 supplier.',
+             'frame_rank_counts':dict(Counter(map(len,event_frames))),
+             'all_dirty_columns_forward_and_inverse_transpose':n,
+             'compensator_omission_rejected':True,
+             'scope':'A 12-output packet factory and probe sinks. Not a complete 120-port supplier or global frame schedule.'}
+    module_receipts.append(receipt)
+    all_programs.append({'receipt':receipt,'start_frames':start,'events':serialize(events),
+                         'event_frames':event_frames,'outputs':[[r,str(q)] for r,q in outputs],
+                         'dead_registers':dead,
+                         'dirt':serialize(dirt),'cleanup':serialize(cleanup),
+                         'probe_target_ports':[ports[t] for t in chosen_targets]})
+
+# Reconstruct the entire signed E8 neighbour correction from the packet family.
+# This proves all 120 rational source columns of the abstract decomposition.
+decomposition=[]
+for target,r in enumerate(roots):
+    row=defaultdict(Q);terms=[];support=[i for i,x in enumerate(r) if x]
+    if len(support)==4:
+        c=tuple(support)
+        for d in blocks:
+            inter=tuple(sorted(set(c)&set(d)))
+            if len(inter)!=2:continue
+            i,j=inter;epsilon=r[i]*r[j];content,F=packet_table[d,inter,epsilon]
+            coefficient=-Q(r[i],2)
+            assert all((ports[target]&p).bit_count()%2==0 for p in F)
+            for s,a in content.items():row[s]+=coefficient*a
+            terms.append({'source_block':d,'pair':inter,'epsilon':epsilon,'coefficient':str(coefficient)})
+        for s in blocks[c]+list(frame_lines.values()):
+            if s!=target and G[target][s]:row[s]-=Q(G[target][s],2)
+    else:
+        i=support[0]
+        for d in blocks:
+            if i in d:
+                for s in blocks[d]:row[s]-=Q(roots[s][i],2)
+    expected={s:-Q(G[target][s],2) for s in range(v) if s!=target and G[target][s]}
+    assert {s:a for s,a in row.items() if a}==expected
+    # Eight coordinate centers recover the diagonal after side corrections.
+    for s in range(v):
+        center=sum(Q(r[i]*roots[s][i],4) for i in range(8))
+        assert center+row.get(s,Q(0))==int(s==target)
+    decomposition.append({'target':target,'cross_block_packets':terms,'side_support':len(expected)})
+
+program_path=OUT/'PACKET-PROGRAMS.json.gz'
+program_path.write_bytes(gzip.compress(json.dumps(all_programs,sort_keys=True,separators=(',',':')).encode(),mtime=0))
+report={'status':'PASS_STRUCTURAL_PACKET_PROTOTYPE_NOT_A_NEW_SUPPLIER',
+        'source_sha256':hashlib.sha256(SRC.read_bytes()).hexdigest(),
+        'binary_address_dimension':9,'binary_gram_rank':len(indices),
+        'binary_ports':ports,'root_lines':roots,
+        'binary_gram_identity':'p_s dot p_t = 1 + (root_s dot root_t / 2) mod 2',
+        'modules':module_receipts,'signed_packets':len(packet_table),
+        'full_target_decomposition_columns':120,'full_target_decomposition_entries':120*120,
+        'program_sha256':hashlib.sha256(program_path.read_bytes()).hexdigest(),
+        'decomposition':decomposition,
+        'remaining':['Joint scheduling and charging of all packet fan-outs and target accumulations',
+                     'Forming all eight centers from the available mixed source basis without an uncharged restore',
+                     'Full 120-port arbitrary-dirt forward/backward program and restored work stocks',
+                     'Exact complex adapters and global phases; finite invoice; two independent prices and outer assembly'],
+        'no_new_coarse_b_or_kappa_claim':True}
+(OUT/'PROTOTYPE.json').write_text(json.dumps(report,indent=2)+'\n')
+print('PASS: 14 factories, 168 signed packets; each factory uses 8 source + 16 helper registers')
+print('PASS: exact dirty forward and inverse-transpose columns, omission controls, all 14400 decoder entries')
+print('NOT A SUPPLIER: global scheduling, mixed-basis centers, phase and full price remain open')
diff --git a/research/early-reset-source-banks/vendor/pr433/verify.py b/research/early-reset-source-banks/vendor/pr433/verify.py
new file mode 100644
index 0000000000..101d9b0249
--- /dev/null
+++ b/research/early-reset-source-banks/vendor/pr433/verify.py
@@ -0,0 +1,49 @@
+"""Verify the selected two-supplier composition using Python's standard library."""
+import argparse,gzip,hashlib,json,os,shutil,subprocess,sys
+from pathlib import Path
+assert __debug__, 'Assertions must remain enabled'
+ROOT=Path(__file__).resolve().parent
+ap=argparse.ArgumentParser(description=__doc__)
+ap.add_argument('output',type=Path,help='A new output directory outside this package')
+ap.add_argument('--replay-phases',action='store_true',help='Recompute all selected Gaussian phase pairs instead of reusing their source-bound evidence')
+a=ap.parse_args();out=a.output.resolve()
+assert not out.exists() and not out.is_relative_to(ROOT)
+def snapshot():
+ return {p.relative_to(ROOT).as_posix():hashlib.sha256(p.read_bytes()).hexdigest() for p in ROOT.rglob('*') if p.is_file() and p.name!='MANIFEST.json'}
+manifest=json.loads((ROOT/'MANIFEST.json').read_text());assert snapshot()==manifest['files'],'Source manifest mismatch'
+sources=json.loads((ROOT/'SOURCES.json').read_text())
+for z in sources['imported_files']:
+ data=(ROOT/z['path']).read_bytes();assert hashlib.sha256(data).hexdigest()==z['sha256']
+ if 'source_sha256' in z:assert hashlib.sha256(gzip.decompress(data)).hexdigest()==z['source_sha256']
+out.mkdir(parents=True)
+def copy(src,dst):
+ p=out/dst;p.parent.mkdir(parents=True,exist_ok=True)
+ data=(ROOT/src).read_bytes();p.write_bytes(gzip.decompress(data) if src.endswith('.gz') and not dst.endswith('.gz') else data)
+for src,dst in [
+ ('inputs/e8-r865.json.gz','work/pr370-source/research/e8-bit/data/bit/bitE8-r865.json.gz'),
+ ('inputs/complex-ports.json.gz','work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz'),
+ ('inputs/complex-template.json.gz','work/complex-nine-native/GLOBAL-TEMPLATE.json.gz'),
+ ('inputs/complex-data-phases.json.gz','work/complex-nine-native/DATA-PHASES.json'),
+ ('inputs/bit-geometry.json.gz','inherited/bit-geometry.json.gz'),
+ ('vendor/clifford_exact.py','work/odd-stages/clifford_exact.py')]:copy(src,dst)
+for name in ('moment','base_two_moment','outer'):copy('vendor/engines/'+name+'.py','work/pr361/code/engines/'+name+'.py')
+p=out/'bit426-source-centres';p.mkdir();(p/'bit-input.json').write_bytes(gzip.decompress((ROOT/'inputs/bit-r767.json.gz').read_bytes()))
+env=dict(os.environ,E8_OUTPUT=str(out),E8_REPLAY_PHASES=str(int(a.replay_phases)),PYTHONDONTWRITEBYTECODE='1');env.pop('PYTHONOPTIMIZE',None)
+steps=[]
+def run(name,file,*args):
+ with (out/(name+'.log')).open('w') as log:
+  r=subprocess.run([sys.executable,'-B',str(ROOT/file),*map(str,args)],cwd=out,env=env,stdout=log,stderr=subprocess.STDOUT)
+ assert r.returncode==0,(name,str(out/(name+'.log')))
+ steps.append(name);print('PASS',name,flush=True)
+run('hamming_packets','vendor/hamming_packets.py')
+for name in ('complex_construct','complex_audit','complex_emit','complex_phases','bit_construct'):run(name,'code/'+name+'.py')
+run('bit_export','vendor/export_records.py',p/'bit-source-centres.json',p/'records')
+run('bit_global','code/bit_global.py','--source',p,'--local-check',p,'--out',p/'global')
+run('bit_audit','code/bit_audit.py','--local-check',p,'--out',p/'global')
+for name in ('bit_price','complex_integrate','complex_replay','combined'):run(name,'code/'+name+'.py')
+assert snapshot()==manifest['files'],'Package modified during verification'
+r=json.loads((out/'RESULT.json').read_text());expected=json.loads((ROOT/'EXPECTED.json').read_text())
+for key,value in expected.items():assert r[key]==value,(key,r[key],value)
+r['verification_steps']=steps;r['phase_mode']='full replay' if a.replay_phases else 'source-bound unchanged evidence';r['manifest_sha256']=hashlib.sha256((ROOT/'MANIFEST.json').read_bytes()).hexdigest()
+(out/'RESULT.json').write_text(json.dumps(r,indent=2)+'\n')
+print('PASS conditional kappa',r['kappa_decimal'])
diff --git a/research/early-reset-source-banks/verify.py b/research/early-reset-source-banks/verify.py
new file mode 100644
index 0000000000..8756feaabc
--- /dev/null
+++ b/research/early-reset-source-banks/verify.py
@@ -0,0 +1,30 @@
+"""Network-free full replay of PR433 plus twelve source-bound early resets.
+Prepared with OpenAI Codex assistance. Apache-2.0; original notices retained.
+"""
+import argparse,hashlib,json,os,subprocess,sys,time
+from pathlib import Path
+assert __debug__, 'Assertions must remain enabled'
+assert sys.version_info>=(3,14), 'Python 3.14+ is required for the frozen parent gzip byte encoding'
+ROOT=Path(__file__).resolve().parent
+ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--output',type=Path,required=True);a=ap.parse_args();out=a.output.resolve()
+assert not out.exists() and not out.is_relative_to(ROOT), 'Use a fresh output outside the package'
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def snapshot():return {p.relative_to(ROOT).as_posix():sha(p) for p in ROOT.rglob('*') if p.is_file() and p.relative_to(ROOT).as_posix()!='MANIFEST.json'}
+m=json.loads((ROOT/'MANIFEST.json').read_text());assert snapshot()==m['files'],'Package integrity mismatch'
+out.mkdir(parents=True);env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1');env.pop('PYTHONOPTIMIZE',None);steps=[]
+def run(name,*args):
+ log=out/(name+'.log');start=time.monotonic();print('RUN',name,flush=True)
+ with log.open('w') as f:r=subprocess.run([sys.executable,'-B',*map(str,args)],env=env,stdout=f,stderr=subprocess.STDOUT)
+ assert r.returncode==0,(name,r.returncode,str(log))
+ steps.append(dict(name=name,exit_code=r.returncode,seconds=time.monotonic()-start,log_sha256=sha(log)));print('PASS',name,flush=True)
+parent=out/'parent';source=parent/'bit426-source-centres/bit-source-centres.json';word=out/'constructed/bit-source-centres.json';candidate=out/'candidate'
+run('parent-full-phase',ROOT/'vendor/pr433/verify.py',parent,'--replay-phases')
+run('construct-twelve',ROOT/'constructor/construct.py','--source',source,'--out',out/'constructed')
+run('independent-reset-controls',ROOT/'constructor/local_audit.py','--source',source,'--out',out/'LOCAL-AUDIT.json')
+run('changed-global-admission',ROOT/'admission/verify.py','--word',word,'--expected-sha256','fc5b2fb84dbbdbcf9b1bb36ebf768f31130dd5a93edec3d12f52c8e4be66ce48','--base-source',ROOT/'vendor/pr433','--complex-proof',parent,'--work',candidate)
+run('independent-invoices-outer',ROOT/'code/independent_audit.py',candidate,out/'independent')
+r=json.loads((candidate/'RESULT.json').read_text());expected=json.loads((ROOT/'EXPECTED.json').read_text())
+for key,value in expected.items():assert r[key]==value,(key,r.get(key),value)
+assert snapshot()==m['files'],'Package changed during replay'
+receipt=dict(status='PASS_SOURCE_BOUND_R746_FULL_REPLAY',kappa=r['kappa'],kappa_decimal=r['kappa_decimal'],candidate_sha256=sha(word),manifest_sha256=sha(ROOT/'MANIFEST.json'),steps=steps,result_sha256=sha(candidate/'RESULT.json'),independent_sha256=sha(out/'independent/RESULT.json'))
+(out/'VERIFICATION.json').write_text(json.dumps(receipt,indent=2)+'\n');print(receipt['status'],r['kappa_decimal'],flush=True)