diff --git a/research/complex-u10-t37/ALL-T-PROOF.md b/research/complex-u10-t37/ALL-T-PROOF.md
new file mode 100644
index 0000000000..4b2f601bd7
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+# A signed-dual upper bound for every replica count
+
+This is the package's independent relaxation bound. The separate construction
+in [PROOF.md](PROOF.md) attains its kappa grid value. For the unchanged U8 local profile, whole-helper widths,
+idle-capacity inventory and seven-step outer recipe, every positive integer
+replica count has a kappa grid upper bound of **0.001661960547713947**.
+The maximum possible improvement over PR890 within this family is therefore
+**0.000000002773066918**. This removes the T <= 22 restriction from the
+*upper-bound* argument. Feasibility and finite precision remain separate.
+
+`independent/all_t_bound.py` reproduces the calculation with Python 3.11+ and the standard
+library. It pins all consumed code and claims by SHA256. Run from the repository
+root, with a fresh output filename:
+
+```sh
+python -B research/complex-t37-owners/independent/all_t_bound.py --out /fresh/ALL-T-BOUND.json
+```
+
+The exploratory arithmetic passed on Windows / CPython 3.14.7; repeated
+fresh-output executions reproduced its complete receipt exactly. Relocation
+changes only path resolution, the fail-closed optimization guard and explanatory
+scope text; the numerical inputs and arithmetic are unchanged. The receipt
+uses both retained exact rational moment engines, independently structured bin
+enumerations, and all 47 retained outer constraints. It does not reproduce the
+full supplier, owner map, hosted invoice, compiler or multiplication theorem.
+
+## Fixed family and necessary inequalities
+
+The U8 local paid profile per call is
+
+```
+{1:2548, 2:338, 3:446, 4:162, 5:72, 8:8}.
+```
+
+There are nine calls and 896 live wires per replica. The whole-helper widths
+per call are `{4:80,5:32,7:54,8:122,9:216}`. The idle stock per replica contains
+672 cap-8 bins and 448 bins of each capacity 16, 32 and 48. These are PR890's
+unchanged data. All geometric and execution-window restrictions are relaxed.
+
+Use the PR795 signed width prices `(-1,-20,-8,-2,4)` at widths `(4,5,7,8,9)`
+and bonuses `(2,4,8,-13)` at capacities `(8,16,32,48)`, as retained by PR890.
+For an attainable residual rank r, let u(r) be the maximum bonus plus price
+over every legal count vector in one bin leaving r. Cartesian enumeration of
+all 1,163 legal vectors and a separate unbounded-fill recurrence agree on u.
+In particular, u(0)=0, u(1)=19 and u(48)=-13.
+
+For T replicas, let n_r count the bins with residual rank r. Summing actual
+rank and signed price gives the necessary inequalities
+
+```
+sum r*n_r = 14382*T,
+sum u(r)*n_r >= -3892*T.
+```
+
+The second direction matters: u is an upper bound on each actual bin's signed
+price, while the sum of actual bin prices is fixed. Eliminating n_48 yields
+
+```
+sum_(0<r<48) v(r)*n_r >= 150*T,
+v(r) = 48*u(r)+13*r,
+v(1) = 925.
+```
+
+Rank zero contributes neither rank, credit, nor moment, so it may be omitted.
+
+## One supporting inequality replaces replica enumeration
+
+At the exact endpoint
+
+```
+z = 0.001664727258740678855773,
+phi(r) = r*(73/r)^z,
+c(r) = 48*phi(r)-r*phi(48),
+lambda = c(1)/925,
+```
+
+both pinned rational engines independently certify lambda > 0 and
+
+```
+c(r) > lambda*v(r)  for every attainable 0<r<48 with r != 1.
+c(1) = lambda*v(1).
+```
+
+The smallest certified strict margin is approximately 0.2913731504478641;
+the receipt retains exact rational lower bounds for every rank. The comparison
+also covers zero and negative v(r), with interval multiplication performed in
+the correct direction for negative coefficients. No floating-point rank or
+sign decision is used.
+
+Consequently every nonnegative count vector satisfying the necessary credit
+inequality satisfies
+
+```
+(sum c(r)*n_r)/T >= 150*c(1)/925 = (6/37)*c(1).
+```
+
+This holds for **every positive integer T**, with no replica cutoff. The idle
+moment numerator is
+
+```
+sum phi(r)*n_r
+  = (14382*T/48)*phi(48) + (sum_(r<48) c(r)*n_r)/48.
+```
+
+All other normalized moment contributions are identical across T. Thus the
+normalized formal remainder profile
+
+```
+n_1/T = 6/37,  n_48/T = 11086/37
+```
+
+is a lower bound on every feasible owner's moment at z. Its smallest integral
+representative is T=37, with `{48:11086,1:6}`. Exact equality in this relaxation
+requires all nonzero non-48 residuals to have rank one and credit equality;
+therefore T must be a positive multiple of 37. This argument alone does not
+establish realization by actual bin patterns, owner time windows, or a complete
+controller. The separate T37 construction and checks supply those facts.
+
+## Root and outer transfer
+
+Adding nine copies per replica of the U8 local profile to the T37 residual
+profile gives live stock 33,152 and rank deficit 11,840. Both exact rational
+engines certify moment < 1 at
+
+```
+0.001664727258740678855772
+```
+
+and moment > 1 at its next 1e-24 tick z. At z every physically feasible profile
+has moment at least this formal T37 profile, hence also rejects z. Every
+proper-child moment is increasing in its saving exponent, so its admitted
+complex saving must be below z.
+
+The unchanged outer map is increasing in this range: each update is
+`a_next=s*(1-s+a_old)`, whose two partial derivatives are positive when
+0<s<0.002 and a_old>=0; the final rational map is increasing in a. The bit
+endpoint 0.001733427039589844234749 remains above the complex endpoint.
+Applying the retained seven-step map to either T37 endpoint produces the same
+1e-18 grid value, **0.001661960547713947**. All 47 strict constraints pass for
+the formal arithmetic, and the next-grid control is rejected. This makes the
+stated grid value an all-T upper bound under the same outer recipe.
+
+The upper-bound use of the retained 512-bit bootstrap *driver* does not admit
+a larger-T physical supplier. It evaluates the same numerical outer map for
+the upper relaxation. A construction using a different payload must separately
+recompute its finite bootstrap cutoffs and complete invoice. This package's
+construction does so with a charged 1024-bit complex allowance.
+
+## Attribution and scope
+
+The signed-dual method and integer prices are inherited from Chafik Boukhalfa's
+(chafreaky) PR795 and PR890.
+PR890's `complex-t21-owner-bound/PROOF.md` supplies the fixed-family equations;
+this note adds the supporting ratio inequality and removes the replica cutoff
+from the relaxation. The U8 construction and T16/T21 controller lineages remain
+credited to their original contributors. Exact arithmetic engines and outer
+driver are imported unchanged and credited through their retained notices.
+
+Prepared for Jonathan with substantial OpenAI Codex assistance, including
+separately performed arithmetic cross-checks. No independent human peer review
+is claimed. The all-size/compiler, common-label/mutable-source realization,
+whole-call hosting, precision/tape, analytic transfer and bit H1-H5 assumptions
+are unchanged. See [NOTICE.md](NOTICE.md) for retained attribution.
diff --git a/research/complex-u10-t37/CLAIM.json b/research/complex-u10-t37/CLAIM.json
new file mode 100644
index 0000000000..5577c0c896
--- /dev/null
+++ b/research/complex-u10-t37/CLAIM.json
@@ -0,0 +1,42 @@
+{
+  "status": "conditional_finite_construction",
+  "kappa": "831019538879371/500000000000000000",
+  "kappa_decimal": "0.001662039077758742",
+  "delta": "0.000000078530044795",
+  "complex_lower": "0.00166480605047151514435",
+  "bit_lower": "0.001733427039589844234749",
+  "replicas": 37,
+  "calls": 333,
+  "roles": 167832,
+  "live": 33152,
+  "physical": 33666,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "prefix_bits": 779,
+  "charged_prefix_bits": 1024,
+  "physical_row_coefficient": 17495,
+  "profile": {
+    "1": 848490,
+    "2": 112554,
+    "3": 149850,
+    "4": 51282,
+    "5": 25308,
+    "8": 2664,
+    "48": 11086
+  },
+  "idle": {
+    "1": 6,
+    "48": 11086
+  },
+  "scope": "Inherits PR942/PR890's all-size/compiler, common-label/physical-hosting, precision/tape, analytic and bit H1-H5 assumptions. No unconditional or formal full-theorem claim. The owner map, widths, capacities and outer recipe are PR942's, unchanged; only the local word changes (U8 -> U10).",
+  "baseline_pr942_kappa": "0.001661960547713947",
+  "local_profile": {
+    "1": 2548,
+    "2": 338,
+    "3": 450,
+    "4": 154,
+    "5": 76,
+    "8": 8
+  },
+  "local_word": "U10 = U8 + two triangle-hybrid slots (construction/u10/RECIPE-U10.json), content sha256 776de990f3e1e9eebb075a3d280d1aa029cb5a171d30945128a713f78dd126d1"
+}
diff --git a/research/complex-u10-t37/DEPENDENCY-PINS.json b/research/complex-u10-t37/DEPENDENCY-PINS.json
new file mode 100644
index 0000000000..03670456ab
--- /dev/null
+++ b/research/complex-u10-t37/DEPENDENCY-PINS.json
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new file mode 100644
index 0000000000..da39fe7d7e
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+++ b/research/complex-u10-t37/EDITS.json
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diff --git a/research/complex-u10-t37/MANIFEST.json b/research/complex-u10-t37/MANIFEST.json
new file mode 100644
index 0000000000..3aa8f319e8
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+++ b/research/complex-u10-t37/MANIFEST.json
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diff --git a/research/complex-u10-t37/NOTICE.md b/research/complex-u10-t37/NOTICE.md
new file mode 100644
index 0000000000..1049fe52ae
--- /dev/null
+++ b/research/complex-u10-t37/NOTICE.md
@@ -0,0 +1,53 @@
+# U10 addition (this package)
+
+New here: the generalised triangle-hybrid slot search (`construction/u10/discovery/`), the two new slots
+(X = 444, 446 on the entering pair 612/613), the explicit U10 recipe and pins, the `u10-native` stage, and the
+U10 adaptation of PR942's verifier and all-T bound. Prepared for rohanarun (@rohanarun) with Claude (Anthropic)
+assistance; Apache-2.0. NewBArch's `build_tri.py` and `run_controls.py` (PR869) are used unchanged from the
+vendored PR870 sources; the triangle-hybrid move itself is NewBArch's. Jonathan's PR942 T37 package (below) is
+retained with its notices; its owner map and every inherited file are byte-identical.
+
+# Attribution and source boundaries
+
+Prepared for Jonathan with substantial OpenAI Codex assistance. Apache-2.0
+applies. The work includes separately implemented AI checks; no independent
+human peer review is claimed. Retained source files, licenses, copyright
+notices and AI disclosures are not replaced by this notice.
+
+New work in this package is the stable T21+T16 interleaving, eight-role T37
+trade and frozen owner witness, its independent reconstruction and admission,
+the charged 1024-bit complex prefix integration, and the supporting cost/credit
+inequality giving an all-replica upper bound for the fixed U8 whole-owner
+family. The separate upper-bound proof does not supply the physical witness;
+the package checks both.
+
+- Chafik Boukhalfa (@chafreaky), PR890, supplied the T21 assignment, T5
+  witness, parent construction and partial-bank audit being extended here.
+  His PR795 supplied the five integer helper-width prices and four capacity
+  bonuses. PR890's owner-bound proof supplies the fixed-family equations.
+- Hao Yan (@FanPUYen), PR858, supplied the T16 duplication and eleven-role
+  correction, physical source-event windows, independent owner/chart audit,
+  ancestral coverage checks and replication-parameterization approach.
+  The inherited code and notices remain under PR890's vendored sources.
+- Jeremy Kothe's PR799 X4 work and the PR869/870 U8 lineage provide the
+  unchanged local supplier. The retained PR870 notice credits the
+  triangle-hybrid B construction to NewBArch, its driver and composition to
+  ColdWitness/icekylinx, and the earlier factory, gauge44 and no-triangle work
+  to their original contributors. Those credits remain in force.
+- Chafik Boukhalfa's PR741 frames/owners, the PR645/PR635 and
+  PR514/PR484/PR507 controller lineage, and the unchanged PR589 bit supplier
+  remain dependencies. The selected cold ancestry is replayed; source
+  packages are not silently replaced by a new finite receipt.
+- The exact `moment.py`, `base_two_moment.py` and `outer.py` engines are
+  imported unchanged from the pinned multicold dependencies. Their retained
+  notices include eumemic and the earlier maintainer arithmetic lineage.
+  `outer.py` credits icekylinx's PR144, adapted from Zhihao Chen's PR23, and
+  the RaD balanced positional transform (hipotures). The unchanged
+  `price_profile_t16.py` credits icekylinx with OpenAI GPT-6 Astra assistance.
+
+The package retains PR890's source manifest, dependency pins, vendored notices
+and original source headers. The all-T arithmetic explicitly pins each imported
+engine, the retained outer driver, the PR890 claim and the fixed-family proof.
+Package and adaptation manifests bind the new files and generated runtime.
+All inherited all-size/compiler, physical-realization, hosting, precision/tape,
+analytic-transfer and bit H1-H5 obligations remain conditional.
diff --git a/research/complex-u10-t37/ORDER.json b/research/complex-u10-t37/ORDER.json
new file mode 100644
index 0000000000..500a9c3738
--- /dev/null
+++ b/research/complex-u10-t37/ORDER.json
@@ -0,0 +1 @@
+[[0, 0], [0, 21], [0, 8], [0, 29], [0, 1], [0, 22], [0, 9], [0, 30], [1, 0], [1, 8], [1, 21], [0, 16], [1, 29], [0, 2], [0, 23], [0, 10], [0, 17], [0, 31], [1, 1], [1, 22], [1, 9], [1, 30], [1, 16], [2, 0], [2, 21], [2, 8], [2, 29], [0, 18], [0, 24], [0, 3], [0, 11], [0, 32], [1, 17], [1, 23], [1, 2], [1, 31], [1, 10], [2, 16], [2, 22], [2, 1], [2, 30], [2, 9], [3, 21], [0, 19], [3, 29], [3, 0], [3, 8], [0, 25], [1, 18], [0, 33], [0, 4], [1, 24], [0, 12], [2, 17], [1, 32], [1, 3], [2, 23], [1, 11], [2, 31], [3, 16], [2, 2], [3, 22], [2, 10], [3, 30], [0, 20], [4, 21], [3, 1], [3, 9], [4, 29], [1, 19], [0, 26], [4, 0], [0, 34], [4, 8], [2, 18], [1, 25], [0, 5], [1, 33], [0, 13], [2, 24], [3, 17], [2, 32], [1, 4], [1, 12], [3, 23], [4, 16], [3, 31], [2, 3], [4, 22], [2, 11], [3, 2], [4, 30], [3, 10], [5, 21], [1, 20], [5, 29], [4, 1], [4, 9], [0, 27], [2, 19], [0, 35], [5, 0], [1, 26], [5, 8], [3, 18], [1, 34], [0, 6], [2, 25], [0, 14], [2, 33], [4, 17], [1, 5], [3, 24], [1, 13], [3, 32], [5, 16], [4, 23], [2, 4], [4, 31], [2, 12], [3, 3], [5, 22], [3, 11], [5, 30], [4, 2], [0, 28], [4, 10], [2, 20], [0, 36], [5, 1], [6, 21], [5, 9], [6, 29], [3, 19], [0, 7], [1, 27], [0, 15], [1, 35], [4, 18], [2, 26], [6, 0], [6, 8], [2, 34], [5, 17], [3, 25], [1, 6], [3, 33], [1, 14], [2, 5], [4, 24], [2, 13], [4, 32], [6, 16], [5, 23], [3, 4], [5, 31], [3, 12], [4, 3], [6, 22], [4, 11], [6, 30], [5, 2], [1, 28], [5, 10], [3, 20], [1, 36], [6, 1], [7, 21], [6, 9], [7, 29], [4, 19], [1, 7], [2, 27], [1, 15], [2, 35], [5, 18], [3, 26], [7, 0], [7, 8], [3, 34], [6, 17], [4, 25], [2, 6], [4, 33], [2, 14], [3, 5], [5, 24], [3, 13], [5, 32], [7, 16], [6, 23], [4, 4], [6, 31], [4, 12], [5, 3], [7, 22], [5, 11], [7, 30], [6, 2], [2, 28], [6, 10], [4, 20], [2, 36], [7, 1], [8, 21], [7, 9], [8, 29], [5, 19], [2, 7], [3, 27], [2, 15], [3, 35], [6, 18], [4, 26], [8, 0], [8, 8], [4, 34], [7, 17], [5, 25], [3, 6], [5, 33], [3, 14], [4, 5], [6, 24], [4, 13], [6, 32], [8, 16], [7, 23], [5, 4], [7, 31], [5, 12], [6, 3], [8, 22], [6, 11], [8, 30], [7, 2], [3, 28], [7, 10], [5, 20], [3, 36], [8, 1], [4, 27], [8, 9], [4, 35], [6, 19], [3, 7], [5, 26], [3, 15], [5, 34], [7, 18], [6, 25], [4, 6], [4, 14], [6, 33], [8, 17], [7, 24], [5, 5], [7, 32], [5, 13], [6, 4], [8, 23], [6, 12], [8, 31], [7, 3], [4, 28], [7, 11], [4, 36], [8, 2], [8, 10], [5, 27], [6, 20], [5, 35], [4, 7], [6, 26], [4, 15], [7, 19], [6, 34], [5, 6], [7, 25], [5, 14], [7, 33], [8, 18], [6, 5], [8, 24], [6, 13], [8, 32], [7, 4], [5, 28], [7, 12], [8, 3], [5, 36], [8, 11], [6, 27], [5, 7], [6, 35], [5, 15], [7, 20], [7, 26], [6, 6], [7, 34], [6, 14], [8, 25], [8, 19], [8, 33], [7, 5], [7, 13], [6, 28], [8, 4], [6, 36], [8, 12], [7, 27], [6, 7], [6, 15], [7, 35], [7, 6], [8, 26], [7, 14], [8, 34], [8, 20], [8, 5], [7, 28], [8, 13], [7, 36], [7, 7], [8, 27], [7, 15], [8, 6], [8, 35], [8, 14], [8, 28], [8, 7], [8, 36], [8, 15]]
diff --git a/research/complex-u10-t37/OWNERS.json.gz b/research/complex-u10-t37/OWNERS.json.gz
new file mode 100644
index 0000000000..00d82f9384
Binary files /dev/null and b/research/complex-u10-t37/OWNERS.json.gz differ
diff --git a/research/complex-u10-t37/PREDECESSOR.json b/research/complex-u10-t37/PREDECESSOR.json
new file mode 100644
index 0000000000..f2124f8b4c
--- /dev/null
+++ b/research/complex-u10-t37/PREDECESSOR.json
@@ -0,0 +1,16 @@
+{
+  "pr": 890,
+  "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/890",
+  "commit": "4b3bd8cbe8e3e81c44161017c9b72c905a8040a8",
+  "packages": {
+    "complex-t21-owners": {
+      "files": 56,
+      "unchanged": true
+    },
+    "complex-t21-owner-bound": {
+      "files": 8,
+      "unchanged": true
+    }
+  },
+  "copy_scope": "Exact tracked bytes from the pending predecessor; notices, manifests and original claims retained. Every copied file is individually pinned in DEPENDENCY-PINS.json."
+}
diff --git a/research/complex-u10-t37/PROOF.md b/research/complex-u10-t37/PROOF.md
new file mode 100644
index 0000000000..a4148f387f
--- /dev/null
+++ b/research/complex-u10-t37/PROOF.md
@@ -0,0 +1,158 @@
+# U10 local word (this package)
+
+The only mathematical change relative to PR942 is the local word. U10 equals PR869's U8 plus two further
+triangle-hybrid deliveries (construction/u10/RECIPE-U10.json). Its scalar map, frames, entrances and cones
+are checked exactly by the independent `audit_local.py`; its paid profile is
+`{1:2548,2:338,3:450,4:154,5:76,8:8}` with unchanged widths, start/end frames and local prefixes. Every
+statement below about the owner construction, banks, prefix charge and the all-replica bound applies
+verbatim with the U10 local profile in place of U8's; the all-T bound is recomputed for U10
+(evidence/ALL-T-BOUND.json) and its grid upper equals the claimed 0.001662039077758742.
+
+# Conditional T37 whole-owner construction
+
+The frozen construction gives conditional
+
+\[
+\kappa=0.001661960547713947,
+\]
+
+an increase of 0.000000002773066918 over PR890. It retains the U8 local word,
+its whole-helper widths, the nine-stage geometry and the PR589 bit supplier.
+The changes are a 37-replica owner assignment and a charged 1024-bit complex
+prefix allowance. The all-size and physical-realization assumptions listed
+below remain hypotheses.
+
+## Frozen owner construction
+
+Start with the source-bound T21 assignment from PR890 and the inherited T16
+assignment. Give T16 a disjoint namespace by adding 21 to its replica and
+owner-replica indices, 2352 to its copy indices and 18816 to its family indices.
+The complete-call orders have 189 and 144 entries, respectively. Merge the
+T21 entry at index i with key `(144*i,0)` and the T16 entry at index j with
+key `(189*j,1)`. Sorting these keys preserves both old orders and breaks ties
+in favor of T21. It yields 333 distinct stage/replica calls.
+
+Apply the eight explicit role changes in `EDITS.json`, then recompute their
+copy and physical-family identifiers from their owner, child and port. The
+files `ORDER.json` and `OWNERS.json.gz` freeze the result; no optimizer or
+choice of a favorable run is part of verification.
+
+The local remainder trade is
+
+```
+44 + 3 + 2  ->  48 + 1.
+```
+
+The affected width-four, width-nine and width-eight roles can fill the two
+capacity-32 slots as `32 = 8 + 6*4` and `31 = 3*9 + 4`. Their exact identities,
+source locations and destination offsets are specified by the eight edits.
+The other 167,824 roles are unchanged apart from namespace and call-time
+renumbering. The final residual histogram is `{48:11086, 1:6}`.
+
+Stable interleaving retains the predecessor timelines, but it alone does not
+justify a new cross-group owner assignment. The independent owner audit
+therefore reconstructs each actual source-event and bridge window and checks
+every one of the 167,832 roles. It checks full width, physical-family identity,
+the coordinate chart and offset, disjoint occupancy, inactivity of the owner
+during the complete invocation, and complete residual coverage. A helper is
+never divided between physical owners. The independent frozen constructor
+rebuilds the assignment from the T16 and T21 source data without importing a
+search program. Omitting any one of the eight edits is rejected by the
+construction/owner controls.
+
+## Local provider and global profile
+
+Every call uses U8 with local profile
+
+```
+{1:2548, 2:338, 3:446, 4:162, 5:72, 8:8}
+```
+
+and width inventory `{4:80,5:32,7:54,8:122,9:216}`. There are 504 helpers
+per call, 333 calls, 33,152 live families and 33,666 physical families. Adding
+the actual residual histogram gives
+
+```
+{1:848490, 2:112554, 3:148518, 4:53946,
+ 5:23976, 8:2664, 48:11086}.
+```
+
+Its rank mass is 2,408,256 and its deficit is
+`73*33152 - 2408256 = 11840 = 37*320`. The controller audit derives this
+histogram from the emitted program and the literal owner assignment; it is
+not accepted solely as an input to the arithmetic.
+
+The reconstructed U8 provider retains its complete arbitrary-input scalar
+identity in both forward and inverse-transpose orientations, exact native
+phase recipes, residual wrapper frames and the inherited end controls.
+The five temporary dedicated-bank groups have 8,8,8,8,5 active lanes.
+The independent parent audit checks the partial group's complement coordinates
+as well as the four full groups. Every dedicated bank is removed from the
+final hosted controller, leaving the stated physical stock.
+
+## Charged prefix and finite invoice
+
+The retained conservative prefix estimate at T37 is
+
+```
+72 + 37 + 333 + 333 + 4 = 779 bits.
+```
+
+This does not fit PR890's 512-bit complex allowance. The present construction
+charges 1024 bits, including a row-prefix charge of 2048, and recomputes the
+finite invoice and bootstrap cutoffs with that value. It does not assume a
+sharper unproved prefix estimate. The retained bit supplier keeps its original
+512-bit allowance.
+
+The resulting physical row coefficient is 17495, strictly below the retained
+20161 ceiling. The proper-child halving check is `73^2 = 5329 > 4608 = 2*48^2`.
+The finite bridge and coefficient bounds are checked against the unchanged
+retained constants. The widened allowance follows the existing parameterized
+invoice convention; numerical savings do not excuse any prefix or row cost.
+The payload controls mutate the actual prefix, allowance and row fields and
+require the adapted assembly to reject invalid cases.
+
+## Exact price and fixed-family upper bound
+
+Two retained, independently implemented rational interval engines establish
+that the complex moment is less than one at
+
+```
+b = 0.001664727258740678855772
+```
+
+and greater than one at its successor on the 10^-24 grid. The unchanged PR589
+bit endpoint is `0.001733427039589844234749`, with its existing exceptional-
+residue accounting retained. The seven-step outer construction checks all
+47 strict inequalities at the claimed kappa and rejects the next 10^-18 grid
+value. Its finite bootstrap cutoffs use the charged 1024-bit complex allowance.
+
+[ALL-T-PROOF.md](ALL-T-PROOF.md) proves that every positive replica count in
+the same U8 profile, whole-helper width, idle-capacity and outer-recipe family
+has the same kappa grid upper bound. It uses the inherited signed bin prices
+and a new supporting cost/credit inequality. It relaxes chronology and owner
+geometry; this construction supplies a feasible witness attaining its grid
+bound. The result does not prove the exact real-valued optimum or uniqueness
+of an owner assignment, and does not exclude different words, helper splitting,
+provider mixtures, capacities or outer geometries.
+
+## Verification and remaining hypotheses
+
+The default package verifier cold-rebuilds the selected PR589/PR741/PR799
+ancestry, verifies its mandatory stage coverage and source/artifact bindings,
+then reconstructs U8 and runs the new construction, parent, owner, invoice,
+arithmetic and admission checks. An explicitly supplied completed PR799 replay
+must pass those same ancestry and binding checks. Generated adaptations are
+bound to the pinned sources and literal edit records; the strict replay
+rechecks the discovery nomination independently. Final binding requires the
+matching word, role, chart, parent, profile, invoice and price receipts and
+the complete required control inventories.
+
+The proof establishes a finite conditional construction, not an unconditional
+integer-multiplication theorem or a measured implementation speedup. All-size
+compilation, common-label/mutable-source realization, whole-call hosting,
+precision and tape bounds, analytic transfer and the bit H1-H5 contracts remain
+inherited hypotheses. Verification covers the selected dependency lineage and
+this construction; it does not claim execution of every historical test in the
+repository. Source attribution and AI assistance are recorded in
+[NOTICE.md](NOTICE.md).
diff --git a/research/complex-u10-t37/README.md b/research/complex-u10-t37/README.md
new file mode 100644
index 0000000000..e54004ef20
--- /dev/null
+++ b/research/complex-u10-t37/README.md
@@ -0,0 +1,101 @@
+# U10: two more triangle-hybrid slots on U8, hosted by PR942's T37 owners
+
+```text
+kappa = 831019538879371 / 5*10^17 = 0.001662039077758742
+```
+
+This is **+7.8530044795e-8 over the selected PR942 result** (`0.001661960547713947`). It is about 28× PR942's own gain over
+PR890. The complex side binds, and the PR589 bit supplier is unchanged.
+
+**Status: strict replay passed.** The complete PR942 pipeline on the U10 locals, `verify.py`, ends with
+`PASS_U10_T37_STRICT_WITH_SOURCE_BOUND_ANCESTRY 0.001662039077758742`. It covers fresh U8 and U10 native chains,
+independent owner, construction and partial-bank checks, discovery plus strict controller emission, audit with 15
+mutations, the complete invoice (prefix 779 < 1024, row 17495 < 20161), assembly, 69 admission and 12 bit-supplier
+controls, payload controls and the final binding. The receipts are in `evidence/strict/` (Linux, Python 3.13), and the
+cold PR799/PR741/PR589 ancestry was replayed fresh (`PASS_REBUILT_PR589_PR799_COMPOSITION`).
+
+## What changes: the local word only
+
+PR869 (NewBArch) rewrote eight block-0 slots of PR799's X4 word with a width-neutral "triangle-hybrid" B delivery,
+giving U8. In each slot, the copy pair `E += X` has its target reads re-routed:
+
+- two reads are delivered through **holder** registers: `H += V` right after H's last write, so the target's existing
+  H-read now also carries V;
+- the remaining reads are swapped between E and X;
+- the entrance pre-reads are rebuilt;
+- holders are restored by an early-cleanup tail at a common low end, or by a FULL-cleanup gate.
+
+`construction/u10/discovery/` turns the move into an exhaustive search over the U8 word. It covers every copy gate, every
+E/X assignment of its reads, and every holder choice (ports included, up to two donations). It uses exact pre-read
+reconstruction and a chain-only frame optimiser seeded from the inherited frames. Every improving candidate is priced
+and checked with the independent `audit_local.py`.
+
+The search found **two new legal slots outside block 0**, on the entering pair 612/613:
+
+| slot | copy | E/X re-routing | donations (holder ← value, reading target) | restores |
+|---|---|---|---|---|
+| X=444 | `612 += 444` | t146 reads 612, t210 reads 444 | `98 ← 612` (t150), `34 ← 444` (t214) | `98 −= 612` early tail; `34 −= 444` FULL |
+| X=446 | `613 += 446` | t147 reads 613, t211 reads 446 | `399 ← 613` (t151), `303 ← 446` (t215) | `399 −= 613` early tail; `303 −= 446` FULL |
+
+Each slot changes the local paid profile by `{3:+2, 4:−4, 5:+2}`, like one PR869 slot. The two slots are additive:
+
+```text
+U8  {1:2548, 2:338, 3:446, 4:162, 5:72, 8:8}
+U10 {1:2548, 2:338, 3:450, 4:154, 5:76, 8:8}
+```
+
+Everything the owner layer sees is unchanged: the width (3778), the width inventory `{4:80, 5:32, 7:54, 8:122, 9:216}`,
+the local prefixes (forward 55 bits, backward 72 bits), the A section, the start/end frames, the centres and every kept
+B frame. PR942's T37 owner map, order, edits, bank envelope, 1024-bit prefix charge and outer recipe are therefore used
+unchanged. The global profile is `333 × U10 + {48:11086, 1:6}`:
+
+```text
+{1:848490, 2:112554, 3:149850, 4:51282, 5:25308, 8:2664, 48:11086}
+```
+
+The word is given as an explicit recipe, `construction/u10/RECIPE-U10.json`, with 10 B deletes, 10 B inserts with
+frames, 2 tails and 2 FULL prepends. It is applied to the pinned U8 word (`090fd574…`) by NewBArch's **unchanged**
+`build_tri.py`. The resulting U10 word has content sha256
+`776de990f3e1e9eebb075a3d280d1aa029cb5a171d30945128a713f78dd126d1`.
+
+## Evidence
+
+- `evidence/u10/LOCAL-AUDIT-U10.json`: the independent `audit_local.py` reports
+  `PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES` (with the parent centre interface).
+- `evidence/u10/U10-CONTROLS.json`: NewBArch's unchanged `run_controls.py` gives 14/14 outcomes. These are C0
+  identity, the recipe PASS, and drop_restore / restore_full / drop_preread / donation_after both globally and per new
+  slot, each rejected at its pinned message.
+- `evidence/u10/COLD-END-CONTROLS.json`: 95 per-end layer mutations are rejected, as for U8.
+- `evidence/u10/STEPS.json`, `LOCAL-CHECKS.json`: PR635's native chain (native, ledgers, local-replay, wrappers,
+  phases) passes on U10 and recounts its paid profile in both orientations. `construction/u10/LOCAL-PINS-U10.json`
+  pins the canonical word, the local programs and the Clifford recipes.
+- `evidence/ALL-T-BOUND.json`: PR942's all-replica signed-dual bound, rerun with the U10 local profile, gives
+  `PASS_ALL_T_U10_SIGNED_DUAL_RELAXATION_BOUND`. Its grid upper is `0.001662039077758742`, equal to the claim, so T37
+  remains grid-optimal in the fixed whole-owner family for U10. The two exact engines bracket the complex root
+  `[0.00166480605047151514435, 0.001664806050471515144351]`.
+
+## Reproduce
+
+Same requirements as PR942. From the repository root:
+
+```sh
+python -B research/complex-u10-t37/verify.py --work /tmp/u10-t37 [--baseline799 /abs/completed-cold799]
+```
+
+The stages are those of PR942, plus `u10-native` (`construction/u10/reproduce_u10.py`) right after `u8-native`. The
+T37 replay (`T37_LOCAL`) and the independent owner check consume the U10 locals.
+
+## Changes relative to `complex-t37-owners`
+
+The PR942 package is copied with these edits:
+
+- `verify.py`: the `u10-native` stage and U10 inputs.
+- `prepare.py`: the adapted `build_parent.py` reads this package's `CLAIM.json` local profile.
+- `final_binding.py`: U10 inputs, step checks and constants.
+- `independent/all_t_bound.py`: the U10 local profile.
+- `independent/check_payload_controls.py`: the new κ.
+- `CLAIM.json`, the new `construction/u10/` and `evidence/u10/`, and this README, NOTICE and PROOF header.
+
+`OWNERS.json.gz`, `ORDER.json`, `EDITS.json` and all inherited sources are byte-identical to PR942's.
+
+See [NOTICE.md](NOTICE.md) for credits.
diff --git a/research/complex-u10-t37/binding_controls.py b/research/complex-u10-t37/binding_controls.py
new file mode 100644
index 0000000000..908ec7401f
--- /dev/null
+++ b/research/complex-u10-t37/binding_controls.py
@@ -0,0 +1,96 @@
+"""Alter actual replay files in a private copy and require binding rejection.
+
+Run after a completed verify.py replay. Original replay/source files stay
+read-only. Controls do not claim authentication of execution history.
+"""
+import argparse,copy,gzip,json,os,shutil,subprocess,sys,tempfile
+from pathlib import Path
+from common import ROOT,P,read
+import final_binding as F
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled; do not use Python -O')
+
+def projection(work,destination):
+    """Copy only the inputs needed by the three targeted binding components."""
+    paths=['ADAPTATIONS.json','CONSTRUCTION-CHECK.json','lift/PLAN.json',
+           'strict/global/PLAN.json','strict/global/BINDING.json']
+    paths+=['strict/global/audit/'+n for n in ('OWNERS-AND-PROFILE.json','ASYNC-AUDIT.json','PREFIX-AND-INVOICE.json','IDLE-REMAINDER-FRAMES.json')]
+    summary=read(work/'strict/global/hosted/HOSTED.json')
+    paths+=['strict/global/base/'+n for n in summary['source_artifacts']]
+    for relative in paths:
+        source=work/relative;target=destination/relative;target.parent.mkdir(parents=True,exist_ok=True)
+        shutil.copyfile(source,target)
+    for relative in ('adapted','runtime/code','runtime/inputs','strict/global/hosted'):
+        shutil.copytree(work/relative,destination/relative,ignore=shutil.ignore_patterns('__pycache__','*.pyc'))
+
+def mutations(work,sandbox):
+    projection(work,sandbox)
+    F.check_adaptations(sandbox);F.check_construction(sandbox);F.check_payload_artifacts(sandbox)
+    rejected=[]
+    def changed_json(path,change):
+        value=read(path);change(value);data=json.dumps(value,sort_keys=True,separators=(',',':')).encode()
+        return gzip.compress(data,mtime=0) if path.suffix=='.gz' else data
+    def trial(name,changes,check):
+        saved={p:p.read_bytes() if p.exists() else None for p in changes}
+        try:
+            for path,data in changes.items():path.write_bytes(data)
+            try:check(sandbox)
+            except (AssertionError,ValueError) as exc:rejected.append(dict(name=name,reason=str(exc)))
+            else:raise RuntimeError('Accepted altered file: '+name)
+        finally:
+            for path,data in saved.items():
+                if data is None:path.unlink()
+                else:path.write_bytes(data)
+    record=sandbox/'ADAPTATIONS.json'
+    trial('missing_authorized_adapter_record',{record:changed_json(record,lambda d:d.pop('runtime/assemble.py'))},F.check_adaptations)
+    for filename,name in [('runtime/code/assemble.py','changed_runtime_with_updated_metadata'),('adapted/check_parent.py','changed_parent_adapter_with_updated_metadata')]:
+        path=sandbox/filename;data=path.read_bytes()+b'\n# unauthorized adapter change\n';key='runtime/assemble.py' if filename.startswith('runtime/') else 'check_parent.py'
+        changed=read(record);changed[key]['generated_sha256']=F.hashlib.sha256(data).hexdigest()
+        trial(name,{path:data,record:json.dumps(changed).encode()},F.check_adaptations)
+    trial('extra_runtime_code_file',{sandbox/'runtime/code/unlisted.py':b'# unlisted code\n'},F.check_adaptations)
+    path=sandbox/'runtime/inputs/PR589-EXPECTED.json'
+    trial('changed_runtime_input',{path:changed_json(path,lambda d:d.__setitem__('altered_control',True))},F.check_adaptations)
+    path=sandbox/'CONSTRUCTION-CHECK.json'
+    trial('changed_construction_owner_identity',{path:changed_json(path,lambda d:d.__setitem__('owner_content_sha256','0'*64))},F.check_construction)
+    for name,relative,change in [
+        ('changed_emitted_template','hosted/GLOBAL-TEMPLATE.json.gz',lambda d:d.__setitem__('physical',d['physical']+1)),
+        ('changed_sigma_payload','hosted/ACTUAL-SIGMAS.json.gz',lambda d:d[next(iter(d))].__setitem__(0,0)),
+        ('changed_idle_axes','hosted/IDLE-REMAINDER-FRAMES.json.gz',lambda d:d[0]['orthogonal_axes'].__setitem__(0,0)),
+        ('changed_local_program_payload','base/providers/gauge44/LOCAL-PROGRAMS.json.gz',lambda d:d['forward'].append(['altered_control'])),
+        ('missing_source_artifact_metadata','hosted/HOSTED.json',lambda d:d['source_artifacts'].pop(next(iter(d['source_artifacts'])))),
+        ('changed_runtime_plan','PLAN.json',lambda d:d.__setitem__('altered_control',True)),
+    ]:
+        path=sandbox/'strict/global'/relative
+        trial(name,{path:changed_json(path,change)},F.check_payload_artifacts)
+    # Confirm the test copy is restored and successful after every mutation.
+    F.check_adaptations(sandbox);F.check_construction(sandbox);F.check_payload_artifacts(sandbox)
+    return rejected
+
+def optimized_controls():
+    env=dict(os.environ);env.pop('PYTHONOPTIMIZE',None);rejected=[]
+    for relative in ('verify.py','prepare.py','replay.py','final_binding.py','binding_controls.py',
+                     'independent/verify_construct.py','independent/check_t37.py','independent/check_payload_controls.py'):
+        result=subprocess.run([sys.executable,'-B','-O',str(P/relative),'--help'],cwd=ROOT,env=env,capture_output=True,text=True)
+        assert result.returncode!=0 and 'Assertions must remain enabled' in result.stderr,('Optimized mode was not explicitly rejected',relative,result.stdout,result.stderr)
+        rejected.append(relative)
+    return rejected
+
+def main():
+    parser=argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--work',type=Path,required=True);parser.add_argument('--baseline',type=Path,required=True);parser.add_argument('--out',type=Path,required=True)
+    args=parser.parse_args();work=args.work.resolve();out=args.out.resolve()
+    assert not out.exists() and not out.is_relative_to(ROOT),'New output outside checkout required'
+    baseline=F.check(work,args.baseline.resolve())
+    out.parent.mkdir(parents=True,exist_ok=True)
+    with tempfile.TemporaryDirectory(prefix='t37-binding-controls-',dir=out.parent) as temporary:
+        sandbox=Path(temporary).resolve();assert sandbox.is_relative_to(out.parent)
+        rejected=mutations(work,sandbox)
+    optimized=optimized_controls()
+    assert F.check(work,args.baseline.resolve())==baseline,'Original replay changed during controls'
+    result=dict(status='PASS_ACTUAL_FILE_BINDING_AND_OPTIMIZED_MODE_CONTROLS',rejected_controls=rejected,
+                optimized_runs_rejected=optimized,baseline_binding_sha256=F.identity(baseline),
+                scope='Twelve actual-file/metadata consistency mutations in a private copy and eight explicit optimized-mode rejections. Original replay/source bytes remain unchanged.')
+    out.write_text(json.dumps(result,indent=2)+'\n');print(result['status'],len(rejected),'file controls;',len(optimized),'optimized runs')
+
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/common.py b/research/complex-u10-t37/common.py
new file mode 100644
index 0000000000..a79240e106
--- /dev/null
+++ b/research/complex-u10-t37/common.py
@@ -0,0 +1,29 @@
+"""Shared I/O only; no witness search or construction logic."""
+import gzip, importlib.util, json, sys
+from pathlib import Path
+if not __debug__:
+    raise RuntimeError("Assertions must remain enabled; do not use Python -O")
+P=Path(__file__).resolve().parent
+ROOT=P.parents[1]
+T21=ROOT/'research/complex-t21-owners'
+def read(path):
+    path=Path(path)
+    return json.loads(gzip.decompress(path.read_bytes()) if path.suffix=='.gz' else path.read_bytes())
+def load(path,name):
+    path=Path(path)
+    previous=sys.modules.get('common')
+    external=not path.resolve().is_relative_to(P)
+    if external:
+        sys.modules.pop('common',None)
+        sys.path.insert(0,str(path.parent))
+    try:
+        spec=importlib.util.spec_from_file_location(name,path)
+        module=importlib.util.module_from_spec(spec)
+        sys.modules[name]=module
+        spec.loader.exec_module(module)
+        return module
+    finally:
+        if external:
+            sys.path.pop(0)
+            if previous is not None: sys.modules['common']=previous
+            else: sys.modules.pop('common',None)
diff --git a/research/complex-u10-t37/construction/u10/LOCAL-PINS-U10.json b/research/complex-u10-t37/construction/u10/LOCAL-PINS-U10.json
new file mode 100644
index 0000000000..0f58758957
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/LOCAL-PINS-U10.json
@@ -0,0 +1,25 @@
+{
+ "u10_controls": [
+  "C0_identity",
+  "recipe",
+  "drop_restore",
+  "restore_full",
+  "drop_preread",
+  "donation_after",
+  "drop_restore@444",
+  "restore_full@444",
+  "drop_preread@444",
+  "donation_after@444",
+  "drop_restore@446",
+  "restore_full@446",
+  "drop_preread@446",
+  "donation_after@446"
+ ],
+ "layer_controls": 95,
+ "canonical_sha256": "4ea29d5f21a45f1c7b1362867ef458aa3fa3078580a420c83f75f0decf1af74b",
+ "program_sha256": {
+  "forward": "797b3b3b3fc441d53291a790bcb1451e1051dacad1ae39922ff1d06baa5c71a2",
+  "backward": "092b525677e0bce217e986546168098a949daab41bc81a0eb2f138bf1be936f8"
+ },
+ "clifford_recipes_sha256": "27a03e185257ef29e842cd6c49a29c58bbe632b0cbd396f64c3523c38b7b3fe9"
+}
\ No newline at end of file
diff --git a/research/complex-u10-t37/construction/u10/PROVIDER-U10.json b/research/complex-u10-t37/construction/u10/PROVIDER-U10.json
new file mode 100644
index 0000000000..183d9c5803
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/PROVIDER-U10.json
@@ -0,0 +1,22 @@
+{
+ "description": "Frozen U10 provider identities for the inherited T8 plan registry (PR870 data/T8/PLAN.json). Each U8 value is replaced by the U10 value produced by construction/u10/reproduce_u10.py; bind_providers_portable.py then re-checks every one against the fresh U10 locals. Only semantic artifact identities, the byte-stable LOCAL-CHECKS pin and the two local-program hashes change; widths, ports, centres, dispatch and orientations are unchanged.",
+ "rebind": {
+  "24db880b7dab31e6af4eec8a1aba1bbbae29cd50d9a7b77cf0e9b571b3e5ae7c": "4ea29d5f21a45f1c7b1362867ef458aa3fa3078580a420c83f75f0decf1af74b",
+  "a073d8d6a561cf5c8148d8b29ae2800bbe3978377c016b549edd7523eb3cf7e5": "50b5c91b02e5f4e068b37b56ee7b1e7c24b521b19de92875ea4f07e4981e98ca",
+  "7d703fa7fc26edab2d82d16632084d9c4c252789991568fe86a56307a9b11aaf": "693b147eb5b82648f472c6192b38b4d93d330761b11cee5b3b525e533d5ad56d",
+  "031db822c0db37326ce4f7d3c9d2fa90835b80c96ebb51a03468370052032c77": "70428603a4aee2bf870c472de8a36a51ce9feb0d7eeb512627c1633abe784ddf",
+  "4629507dcbdd516457c001ff8f9dbe750d1a0cbfa5cfa3c6be003d45804ba0c5": "27a03e185257ef29e842cd6c49a29c58bbe632b0cbd396f64c3523c38b7b3fe9",
+  "65ff1fcadd3d01047ceca7eb2d93bbd08a32d452ccec827c206aa8ff28e2cd2d": "ce9b78aa22ae5c5ac8ae837445858a5164b9d216e226ddb87998d9417d4984f6",
+  "a99aef882cd6f7631127fd8a116ad4bbaed60e3822455d4f846ae0f45b5af575": "278e4af527e2530abe670a4b786c512be1d10bdd45ff0f5da22fbae6aea7593f",
+  "83d65a63f51bd1ce7f3dd4e4d3597311e065b4775796cd87aea3e3a62689047c": "797b3b3b3fc441d53291a790bcb1451e1051dacad1ae39922ff1d06baa5c71a2",
+  "e4e483b764e9a85f84a04425e57d73ecdcc72eb2e4d97a64f17d9da58fa5ace0": "092b525677e0bce217e986546168098a949daab41bc81a0eb2f138bf1be936f8"
+ },
+ "actual_paid_profile": {
+  "1": 2548,
+  "2": 338,
+  "3": 450,
+  "4": 154,
+  "5": 76,
+  "8": 8
+ }
+}
\ No newline at end of file
diff --git a/research/complex-u10-t37/construction/u10/RECIPE-U10.json b/research/complex-u10-t37/construction/u10/RECIPE-U10.json
new file mode 100644
index 0000000000..4e5bee4385
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/RECIPE-U10.json
@@ -0,0 +1,299 @@
+{
+ "base_sha256": "090fd574747fbf9628e70cb9beb792732914cfa52e1df147579fe4dbccc68c5a",
+ "B_delete": [
+  91,
+  94,
+  903,
+  905,
+  939,
+  941,
+  1226,
+  1228,
+  1274,
+  1276
+ ],
+ "B_insert": [
+  [
+   90,
+   [
+    "add",
+    146,
+    612,
+    -1,
+    1,
+    [
+     24
+    ]
+   ]
+  ],
+  [
+   91,
+   [
+    "add",
+    147,
+    613,
+    -1,
+    1,
+    [
+     24
+    ]
+   ]
+  ],
+  [
+   867,
+   [
+    "add",
+    98,
+    612,
+    1,
+    1,
+    [
+     258,
+     132,
+     68,
+     34,
+     24,
+     1
+    ]
+   ]
+  ],
+  [
+   867,
+   [
+    "add",
+    34,
+    444,
+    1,
+    1,
+    [
+     289,
+     160,
+     96,
+     24,
+     4,
+     3
+    ]
+   ]
+  ],
+  [
+   868,
+   [
+    "add",
+    399,
+    613,
+    1,
+    1,
+    [
+     260,
+     130,
+     68,
+     34,
+     24,
+     1
+    ]
+   ]
+  ],
+  [
+   868,
+   [
+    "add",
+    303,
+    446,
+    1,
+    1,
+    [
+     288,
+     161,
+     96,
+     24,
+     4,
+     3
+    ]
+   ]
+  ],
+  [
+   1226,
+   [
+    "add",
+    146,
+    612,
+    1,
+    1,
+    [
+     256,
+     132,
+     68,
+     32,
+     24,
+     2,
+     1
+    ]
+   ]
+  ],
+  [
+   1228,
+   [
+    "add",
+    147,
+    613,
+    1,
+    1,
+    [
+     260,
+     128,
+     68,
+     32,
+     24,
+     2,
+     1
+    ]
+   ]
+  ],
+  [
+   1274,
+   [
+    "add",
+    210,
+    444,
+    1,
+    1,
+    [
+     257,
+     128,
+     64,
+     32,
+     24,
+     4,
+     3
+    ]
+   ]
+  ],
+  [
+   1276,
+   [
+    "add",
+    211,
+    446,
+    1,
+    1,
+    [
+     256,
+     129,
+     64,
+     32,
+     24,
+     4,
+     3
+    ]
+   ]
+  ]
+ ],
+ "B_frames": {},
+ "tail_insert": [
+  [
+   1,
+   [
+    "add",
+    98,
+    612,
+    -1,
+    1,
+    [
+     256,
+     128,
+     64,
+     32,
+     24,
+     4,
+     2,
+     1
+    ]
+   ]
+  ],
+  [
+   0,
+   [
+    "add",
+    399,
+    613,
+    -1,
+    1,
+    [
+     256,
+     128,
+     64,
+     32,
+     24,
+     4,
+     2,
+     1
+    ]
+   ]
+  ]
+ ],
+ "cleanup_prepend": [
+  [
+   "add",
+   303,
+   446,
+   -1,
+   1,
+   [
+    256,
+    128,
+    64,
+    32,
+    16,
+    8,
+    4,
+    2,
+    1
+   ]
+  ],
+  [
+   "add",
+   34,
+   444,
+   -1,
+   1,
+   [
+    256,
+    128,
+    64,
+    32,
+    16,
+    8,
+    4,
+    2,
+    1
+   ]
+  ]
+ ],
+ "local_profile": {
+  "1": 2548,
+  "2": 338,
+  "3": 450,
+  "4": 154,
+  "5": 76,
+  "8": 8
+ },
+ "expect_sha256": "776de990f3e1e9eebb075a3d280d1aa029cb5a171d30945128a713f78dd126d1",
+ "variants": [
+  {
+   "X": 444,
+   "E": 612,
+   "hold": [
+    98,
+    34
+   ]
+  },
+  {
+   "X": 446,
+   "E": 613,
+   "hold": [
+    399,
+    303
+   ]
+  }
+ ]
+}
\ No newline at end of file
diff --git a/research/complex-u10-t37/construction/u10/discovery/compose.py b/research/complex-u10-t37/construction/u10/discovery/compose.py
new file mode 100644
index 0000000000..39223c5b54
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/compose.py
@@ -0,0 +1,31 @@
+import sys,json,gzip;sys.path.insert(0,'/tmp/don');from slot import *
+# spec: list of moves {E,X,assign:{"t:src":newsrc},dons:[[t,src_orig,H]]}
+def locate(w,mv):
+    B=w['B'];E,X=mv['E'],mv['X']
+    ci=[i for i,g in enumerate(B) if g[0]=='add' and g[1]==E and g[2]==X and g[3]==1 and g[4]==1]
+    assert len(ci)==1,(E,X,ci); ci=ci[0]
+    _,_,reads,pre=slot_info(w,ci)
+    key={'%d:%d'%(t,s):i for (i,t,s,c) in reads}
+    assert len(key)==len(reads)
+    a={key[k]:v for k,v in mv['assign'].items()}
+    for (i,t,s,c) in reads: a.setdefault(i,s)
+    dons=[]
+    for t,s,H in mv['dons']:
+        i=key['%d:%d'%(t,s)]
+        iH=[j for j,g in enumerate(B) if g[0]=='add' and g[1]==t and g[2]==H and j>ci]
+        assert len(iH)==1; dons.append((i,H,iH[0]))
+    return ci,a,dons
+def compose(w,moves):
+    from frameopt import optimise
+    for mv in moves:
+        ci,a,dons=locate(w,mv)
+        w=build(w,ci,a,dons)
+        w,info=optimise(w)
+        assert w is not None
+    for i,U in w['early_cleanup']: w['cleanup'][i]=w['cleanup'][i][:-1]+[list(U)]
+    P=profile(w);w['report']['local_profile']={str(k):v for k,v in P.items()}
+    return w,P
+if __name__=='__main__':
+    w=L(sys.argv[1]);moves=json.load(open(sys.argv[2]))
+    w,P=compose(w,moves);print(P)
+    open(sys.argv[3],'wb').write(gzip.compress(json.dumps(w,separators=(',',':')).encode(),mtime=0))
diff --git a/research/complex-u10-t37/construction/u10/discovery/frameopt.py b/research/complex-u10-t37/construction/u10/discovery/frameopt.py
new file mode 100644
index 0000000000..2788660b5b
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/frameopt.py
@@ -0,0 +1,190 @@
+# Exact per-component frame optimiser (chain contract only; cones checked by audit_local afterwards).
+import sys,itertools,collections
+sys.path.insert(0,'/tmp/don')
+from mover import basis,regs,FULLF
+def span(B):
+    s=1  # bit0 = zero vector
+    for y in B:
+        t=s; x=0
+        # s |= s shifted by xor y : do explicitly
+        nv=0
+        bits=s
+        while bits:
+            lb=bits&-bits; i=lb.bit_length()-1; nv|=1<<(i^y); bits^=lb
+        s|=nv
+    return s
+SPC={}
+def mem(F):
+    F=tuple(F); r=SPC.get(F)
+    if r is None: r=span(F); SPC[F]=r
+    return r
+def subspaces(dimk):
+    # all subspaces of F2^k as basis tuples of coordinate vectors (ints < 2^k)
+    out=set()
+    vecs=range(1,1<<dimk)
+    out.add(())
+    frontier={()}
+    while frontier:
+        nf=set()
+        for S in frontier:
+            ms=span(S)
+            for x in vecs:
+                if not ms>>x&1:
+                    T=basis(list(S)+[x])
+                    if T not in out: out.add(T); nf.add(T)
+        frontier=nf
+    return list(out)
+SUBS={k:subspaces(k) for k in range(0,5)}
+def between(L,U):
+    L=basis(L);U=basis(U)
+    if len(L)==len(U): return [L]
+    mL=mem(L); comp=[]
+    cur=list(L)
+    for x in U:
+        if not span(basis(cur))>>x&1: comp.append(x); cur.append(x)
+    k=len(comp)
+    if k>4: return None
+    res=[]
+    for W in SUBS[k]:
+        vs=[]
+        for c in W:
+            v=0
+            for i in range(k):
+                if c>>i&1: v^=comp[i]
+            vs.append(v)
+        res.append(basis(list(L)+vs))
+    return res
+def optimise(w,b=0.001665,m=73,verbose=False,maxcomp=200000):
+    f=lambda r:r*((m/r)**b-1) if r>0 else 0.0
+    v=112;R=w['report']['R'];n=2*v+R
+    full=basis(FULLF)
+    end=[full]*v+[basis([x for x in range(1,512) if (x&p).bit_count()%2==0]) for p in w['ports']]+[full]*R
+    for q,U in w['helper_final'].items(): end[int(q)]=basis(U)
+    start=[(p,) for p in w['ports']]+[()]*(v+R)
+    for q,U in w['start_extra'].items(): start[int(q)]=basis(U)
+    nodes=[]  # dict(fixed:F or None, regs, ref)
+    seqs=[[] for _ in range(n)]
+    def add(regsl,fixed,ref):
+        k=len(nodes); nodes.append(dict(regs=regsl,fixed=fixed,ref=ref))
+        for r in regsl: seqs[r].append(k)
+        return k
+    for r in range(n): add([r],start[r],None)
+    for i,e in enumerate(w['A']): add(regs(e),None,('A',i))
+    lev={int(t):basis(U) for t,U in w.get('target_levels',{}).items()}
+    for q,U in zip(w['centers'],w['center_frames']): add([q],basis(U),None)
+    for t in range(v): add([v+t],lev.get(t,()),None)
+    for i,e in enumerate(w['B']): add(regs(e),None,('B',i))
+    for j,(i,U) in enumerate(w['early_cleanup']): add(regs(w['cleanup'][i]),None,('T',j))
+    for r in range(n): add([r],end[r],None)
+    prv=collections.defaultdict(dict); nxt=collections.defaultdict(dict)
+    for r in range(n):
+        s=seqs[r]
+        for a,c in zip(s,s[1:]): nxt[a][r]=c; prv[c][r]=a
+    N=len(nodes); L=[None]*N; U=[None]*N
+    order=list(range(N))  # creation order is a topological order
+    for k in order:
+        z=nodes[k]
+        J=basis([x for r in z['regs'] if r in prv[k] for x in L[prv[k][r]]])
+        if z['fixed'] is not None:
+            if (mem(J)&~mem(z['fixed'])): return None,'fixed lower violation %s'%k
+            L[k]=z['fixed']
+        else: L[k]=J
+    for k in reversed(order):
+        z=nodes[k]
+        if z['fixed'] is not None: U[k]=z['fixed']; continue
+        M=None
+        for r in z['regs']:
+            c=nxt[k][r]; mm=mem(U[c])
+            M=mm if M is None else M&mm
+        vecs=[x for x in range(1,512) if M>>x&1]
+        U[k]=basis(vecs)
+        if mem(L[k])&~mem(U[k]): return None,'interval empty %s'%(z['ref'],)
+    choice={}
+    free=[k for k in range(N) if nodes[k]['fixed'] is None and len(L[k])!=len(U[k])]
+    F=[L[k] if nodes[k]['fixed'] is None else nodes[k]['fixed'] for k in range(N)]
+    # components among free nodes connected by register adjacency
+    fs=set(free); par={k:k for k in free}
+    def find(x):
+        while par[x]!=x: par[x]=par[par[x]]; x=par[x]
+        return x
+    for k in free:
+        for r,c in nxt[k].items():
+            if c in fs: par[find(k)]=find(c)
+    comps=collections.defaultdict(list)
+    for k in free: comps[find(k)].append(k)
+    stats=collections.Counter()
+    orig={}
+    for k,z in enumerate(nodes):
+        if z['ref'] is None: continue
+        s,i=z['ref']
+        o=w['A'][i][-1] if s=='A' else (w['B'][i][-1] if s=='B' else w['early_cleanup'][i][1])
+        orig[k]=basis(o)
+    OPT={}
+    for k in free:
+        o=between(L[k],U[k])
+        if o is None: return None,'big interval'
+        OPT[k]=o
+        ok=orig.get(k)
+        if ok is not None and not (mem(L[k])&~mem(ok)) and not (mem(ok)&~mem(U[k])): F[k]=ok
+    def feasible_all():
+        for k in free:
+            for r,p in prv[k].items():
+                if mem(F[p])&~mem(F[k]): return False
+            for r,q in nxt[k].items():
+                if mem(F[k])&~mem(F[q]): return False
+        return True
+    # repair infeasibility greedily: lower to L where violations
+    for it in range(50):
+        bad=False
+        for k in free:
+            for r,p in prv[k].items():
+                if mem(F[p])&~mem(F[k]): F[k]=basis(list(F[k])+list(F[p])); bad=True
+        for k in free:
+            for r,q in nxt[k].items():
+                if mem(F[k])&~mem(F[q]): bad=True
+        if not bad: break
+    if not feasible_all():
+        for k in free: F[k]=L[k]
+    def local(k,Fk):
+        c=0.0
+        for r,p in prv[k].items():
+            if mem(F[p])&~mem(Fk): return None
+            c+=f(len(Fk)-len(F[p]))
+        for r,q in nxt[k].items():
+            if mem(Fk)&~mem(F[q]): return None
+            c+=f(len(F[q])-len(Fk))
+        return c
+    for sweep in range(30):
+        improved=0
+        for k in free:
+            cur=local(k,F[k]); best=(cur,F[k])
+            for Fk in OPT[k]:
+                c=local(k,Fk)
+                if c is not None and c<best[0]-1e-15: best=(c,Fk)
+            if best[1]!=F[k]: F[k]=best[1]; improved+=1
+        # pair moves along register adjacency
+        for k in free:
+            for r,q in list(nxt[k].items()):
+                if q not in fs: continue
+                old=(F[k],F[q]); c0=local(k,F[k])+local(q,F[q])-f(len(F[q])-len(F[k]))
+                bestp=(c0,old)
+                for a in OPT[k]:
+                    F[k]=a
+                    for bq in OPT[q]:
+                        if mem(a)&~mem(bq): continue
+                        F[q]=bq
+                        ca=local(k,a); cb=local(q,bq)
+                        if ca is None or cb is None: continue
+                        c=ca+cb-f(len(bq)-len(a))
+                        if c<bestp[0]-1e-15: bestp=(c,(a,bq))
+                F[k],F[q]=bestp[1]
+                if bestp[1]!=old: improved+=1
+        if not improved: break
+    stats=collections.Counter(len(v) for v in comps.values())
+    for k,z in enumerate(nodes):
+        if z['ref'] is None: continue
+        s,i=z['ref']
+        if s=='A': w['A'][i][-1]=list(F[k])
+        elif s=='B': w['B'][i][-1]=list(F[k])
+        else: w['early_cleanup'][i][1]=list(F[k])
+    return w,dict(free=len(free),comps=dict(stats))
diff --git a/research/complex-u10-t37/construction/u10/discovery/m2.json b/research/complex-u10-t37/construction/u10/discovery/m2.json
new file mode 100644
index 0000000000..fb819cdfac
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/m2.json
@@ -0,0 +1,2 @@
+[{"E":612,"X":444,"assign":{"146:444":612,"210:612":444},"dons":[[150,612,98],[214,444,34]]},
+ {"E":613,"X":446,"assign":{"147:446":613,"211:613":446},"dons":[[151,613,399],[215,446,303]]}]
diff --git a/research/complex-u10-t37/construction/u10/discovery/make_recipe.py b/research/complex-u10-t37/construction/u10/discovery/make_recipe.py
new file mode 100644
index 0000000000..db75d56c16
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/make_recipe.py
@@ -0,0 +1,26 @@
+import sys,json,gzip,hashlib,difflib
+def load(p):
+    raw=gzip.decompress(open(p,'rb').read());return json.loads(raw),hashlib.sha256(raw).hexdigest()
+a,sa=load(sys.argv[1]);b,sb=load(sys.argv[2])
+A=[json.dumps(g[:-1]) for g in a['B']];Bb=[json.dumps(g[:-1]) for g in b['B']]
+sm=difflib.SequenceMatcher(None,A,Bb,autojunk=False)
+dele=[];ins=[];fr={}
+for tag,i1,i2,j1,j2 in sm.get_opcodes():
+    if tag=='equal':
+        for k in range(i2-i1):
+            if a['B'][i1+k][-1]!=b['B'][j1+k][-1]: fr[str(i1+k)]=b['B'][j1+k][-1]
+    else:
+        dele+=list(range(i1,i2))
+        ins+=[[i1,b['B'][j]] for j in range(j1,j2)]
+na=len(a['cleanup']);nb=len(b['cleanup'])
+# cleanup: prepend k gates, append tails
+k=nb-na-(len(b['early_cleanup'])-len(a['early_cleanup']))
+pre=b['cleanup'][:k]
+assert b['cleanup'][k:k+na]==a['cleanup']
+tails_gates=b['cleanup'][k+na:]
+emap={ci:j for j,(ci,U) in enumerate(b['early_cleanup'])}
+tails=[[emap[k+na+t],g[:-1]+[b['early_cleanup'][emap[k+na+t]][1]]] for t,g in enumerate(tails_gates)]
+rc=dict(base_sha256=sa,B_delete=dele,B_insert=ins,B_frames=fr,tail_insert=tails,cleanup_prepend=pre,
+        local_profile=b['report']['local_profile'],expect_sha256=sb)
+json.dump(rc,open(sys.argv[3],'w'),indent=1)
+print(len(dele),len(ins),len(fr),len(tails),len(pre))
diff --git a/research/complex-u10-t37/construction/u10/discovery/mover.py b/research/complex-u10-t37/construction/u10/discovery/mover.py
new file mode 100644
index 0000000000..495417a924
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/mover.py
@@ -0,0 +1,146 @@
+import json,gzip,copy,collections
+V=112
+def L(p): return json.loads(gzip.decompress(open(p,'rb').read()))
+def istgt(r): return V<=r<2*V
+def regs(e): return [e[1]]+([e[2]] if e[0]=='add' else [])
+def candidates(w):
+    B=w['B']; hf=set(map(int,w['helper_final']))
+    writes=collections.defaultdict(list); readsH=collections.defaultdict(list)
+    for i,g in enumerate(B):
+        writes[g[1]].append(i)
+        if g[0]=='add': readsH[g[2]].append(i)
+    tr=collections.defaultdict(list)
+    for i,g in enumerate(B):
+        if g[0]=='add' and istgt(g[1]) and not istgt(g[2]): tr[g[1]].append(i)
+    out=[]
+    for t,l in tr.items():
+        for iV in l:
+            for iH in l:
+                if iV==iH: continue
+                gV,gH=B[iV],B[iH]
+                if (gV[3],gV[4])!=(gH[3],gH[4]): continue
+                Vr,H=gV[2],gH[2]
+                if Vr==H: continue
+                lo,hi=min(iV,iH),max(iV,iH)
+                if any(lo<j<hi for j in writes[Vr]): continue      # V constant between reads
+                # H not read by anyone else after iH in B (else they'd see V) -- reads of H at j>iH by others
+                if any(j>iH and j!=iH for j in readsH[H] if not (B[j][1]==t)): continue
+                if any(j>iH for j in writes[H]): continue
+                out.append((t,iV,iH,Vr,H))
+    return out
+FULLF=[256,128,64,32,16,8,4,2,1]
+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 contained(a,b): return basis(list(a)+list(b))==basis(b)
+def apply_move(w,mv,restore,pos='late'):
+    t,iV,iH,Vr,H=mv
+    w=copy.deepcopy(w);B=w['B']
+    gV=B[iV]
+    don=['add',H,Vr,1,1,[]]
+    if pos=='late': p=iH
+    else:
+        lw=[j for j,g in enumerate(B) if j<iH and g[1] in (H,Vr)]
+        p=(max(lw)+1) if lw else 0
+    nb=[]
+    for i,g in enumerate(B):
+        if i==p: nb.append(don)
+        if i==iV: continue
+        nb.append(g)
+    if restore=='B':
+        k=nb.index(B[iH]) if False else None
+        # insert right after the H read (which is now at shifted index)
+        pos=[j for j,g in enumerate(nb) if g is B[iH]][0]
+        nb.insert(pos+1,['add',H,Vr,-1,1,[]])
+    w['B']=nb
+    hf=set(map(int,w['helper_final']))
+    if restore=='C':
+        if H in hf or Vr in hf:
+            w['cleanup'].append(['add',H,Vr,-1,1,FULLF])
+            w['early_cleanup'].insert(0,[len(w['cleanup'])-1,[]])
+        else:
+            w['cleanup'].insert(0,['add',H,Vr,-1,1,FULLF])
+            w['early_cleanup']=[[i+1,U] for i,U in w['early_cleanup']]
+    return w
+def fix_frames(w):
+    v=112;R=w['report']['R'];n=2*v+R
+    full=basis(FULLF)
+    end=[full]*v+[basis([x for x in range(1,512) if (x&p).bit_count()%2==0]) for p in w['ports']]+[full]*R
+    for q,U in w['helper_final'].items(): end[int(q)]=basis(U)
+    start=[(p,) for p in w['ports']]+[()]*(v+R)
+    for q,U in w['start_extra'].items(): start[int(q)]=basis(U)
+    cur=list(start)
+    for e in w['A']:
+        for q in regs(e): cur[q]=basis(e[-1])
+    lev={int(t):basis(U) for t,U in w.get('target_levels',{}).items()}
+    for q,U in zip(w['centers'],w['center_frames']): cur[q]=basis(U)
+    for e in w['B']:
+        U=basis(list(e[-1])+[x for q in regs(e) for x in cur[q]])
+        e[-1]=list(U)
+        for q in regs(e): cur[q]=U
+    for j,(i,U) in enumerate(w['early_cleanup']):
+        e=w['cleanup'][i]
+        U=basis(list(U)+[x for q in regs(e) for x in cur[q]])
+        w['early_cleanup'][j]=[i,list(U)]
+        for q in regs(e): cur[q]=U
+    ok=all(contained(cur[q],end[q]) for q in range(n))
+    return ok
+def profile(w):
+    v=112;R=w['report']['R'];n=2*v+R
+    full=basis(FULLF)
+    end=[full]*v+[basis([x for x in range(1,512) if (x&p).bit_count()%2==0]) for p in w['ports']]+[full]*R
+    for q,U in w['helper_final'].items(): end[int(q)]=basis(U)
+    start=[(p,) for p in w['ports']]+[()]*(v+R)
+    for q,U in w['start_extra'].items(): start[int(q)]=basis(U)
+    cur=list(start);paid=collections.Counter()
+    def climb(q,U):
+        U=basis(U)
+        if not contained(cur[q],U): raise ValueError('nonmono')
+        d=len(U)-len(cur[q])
+        if d: paid[d]+=1
+        cur[q]=U
+    for e in w['A']:
+        for q in regs(e): climb(q,e[-1])
+    lev={int(t):basis(U) for t,U in w.get('target_levels',{}).items()}
+    for q,U in zip(w['centers'],w['center_frames']):
+        U=basis(U); served={lev.get(e[1]-v,()) for e in w['cut'] if e[2]==q}
+        for T in sorted(served,key=lambda x:-len(x)):
+            if T!=U: paid[len(U)-len(T)]+=1
+            U=T
+    for e in w['B']:
+        for q in regs(e): climb(q,e[-1])
+    early=w['early_cleanup']
+    for i,U in early:
+        for q in regs(w['cleanup'][i]): climb(q,U)
+    for q in range(n): climb(q,end[q])
+    return dict(sorted(paid.items()))
+def least_frames(w):
+    v=112;R=w['report']['R'];n=2*v+R
+    start=[(p,) for p in w['ports']]+[()]*(v+R)
+    for q,U in w['start_extra'].items(): start[int(q)]=basis(U)
+    cur=list(start)
+    for e in w['A']:
+        U=basis([x for q in regs(e) for x in cur[q]]); e[-1]=list(U)
+        for q in regs(e): cur[q]=U
+    for q,U in zip(w['centers'],w['center_frames']): cur[q]=basis(U)
+    lev={int(t):basis(U) for t,U in w.get('target_levels',{}).items()}
+    for t in range(v):
+        if not contained(cur[v+t],lev.get(t,())): return False
+        cur[v+t]=lev.get(t,())
+    for e in w['B']:
+        U=basis([x for q in regs(e) for x in cur[q]]); e[-1]=list(U)
+        for q in regs(e): cur[q]=U
+    for j,(i,U) in enumerate(w['early_cleanup']):
+        e=w['cleanup'][i]
+        U=basis([x for q in regs(e) for x in cur[q]])
+        w['early_cleanup'][j]=[i,list(U)]
+        for q in regs(e): cur[q]=U
+    return True
diff --git a/research/complex-u10-t37/construction/u10/discovery/search2.py b/research/complex-u10-t37/construction/u10/discovery/search2.py
new file mode 100644
index 0000000000..759a0f9510
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/search2.py
@@ -0,0 +1,49 @@
+import sys,json,gzip,itertools,time;sys.path.insert(0,'/tmp/don');from slot import *
+b=0.001665;m=73
+f=lambda r:r*((m/r)**b-1)
+fee=lambda P:sum(f(int(k))*v for k,v in P.items())
+base_path,part,nparts,OUTD=sys.argv[1],int(sys.argv[2]),int(sys.argv[3]),sys.argv[4]
+w=L(base_path);base=fee(profile(w))
+B=w['B'];se=set(map(int,w['start_extra']))
+copies=[i for i,g in enumerate(B) if g[0]=='add' and g[1]>=224 and g[2]>=224 and g[3]==1 and g[4]==1]
+copies=[c for k,c in enumerate(copies) if k%nparts==part]
+def evaluate(ci,a,dons):
+    w2=build(w,ci,a,dons)
+    if w2 is None: return None
+    w3,info=optimise(w2)
+    if w3 is None: return None
+    P=profile(w3)
+    return (fee(P)-base)/b,P,w3
+for ci in copies:
+    E,X,reads,pre=slot_info(w,ci)
+    if not reads or len(reads)>5: continue
+    if any(j>ci and B[j][1] in (X,E) for j in range(len(B))): continue
+    if E not in se and any(j<ci and B[j][1]==E for j in range(len(B))) and False: continue
+    orig={i:s for (i,t,s,c) in reads}
+    H={i:holders(w,ci,i,{E,X}) for (i,t,s,c) in reads}
+    ks=[i for (i,t,s,c) in reads]
+    assigns=[dict(zip(ks,ss)) for ss in itertools.product((E,X),repeat=len(ks))] if len(ks)<=4 else [orig]
+    donopts=[[]]
+    singles=[(i,h,j) for i in ks for (h,j) in H[i]]
+    donopts+= [[s] for s in singles]
+    donopts+= [[s1,s2] for s1,s2 in itertools.combinations(singles,2) if s1[0]!=s2[0] and s1[1]!=s2[1]]
+    best=None;n=0;t0=time.time()
+    for dons in donopts:
+        for a in assigns:
+            if not dons and a==orig: continue
+            try: r=evaluate(ci,a,dons)
+            except Exception as ex: r=None
+            n+=1
+            if r is None: continue
+            if best is None or r[0]<best[0]:
+                best=(r[0],a,dons,r[1])
+                if r[0]<-1e-9:
+                    fn=OUTD+'/imp_%d_%d.gz'%(ci,n)
+                    w3=r[2];w3['report']['local_profile']={str(k):v for k,v in r[1].items()}
+                    open(fn,'wb').write(gzip.compress(json.dumps(w3,separators=(',',':')).encode(),mtime=0))
+                    import subprocess
+                    rr=subprocess.run(['python3','-B','/tmp/bar/audit_local.py','--word',fn,'--output',fn+'.audit.json'],capture_output=True,text=True)
+                    ok='PASS_INDEPENDENT' in rr.stdout
+                    print('IMPROVE' if ok else 'improve-FAIL','ci',ci,'E',E,'X',X,'%.5f'%r[0],a,dons,r[1],'' if ok else (rr.stdout+rr.stderr).strip().splitlines()[-1][:120],flush=True)
+                    if not ok: best=None
+    print('slot ci',ci,'E',E,'X',X,'reads',len(reads),'evals',n,'best',None if best is None else '%.5f'%best[0],best[3] if best else '', '%.0fs'%(time.time()-t0),flush=True)
diff --git a/research/complex-u10-t37/construction/u10/discovery/slot.py b/research/complex-u10-t37/construction/u10/discovery/slot.py
new file mode 100644
index 0000000000..91e3c43823
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/discovery/slot.py
@@ -0,0 +1,75 @@
+import sys,itertools,copy,collections
+sys.path.insert(0,'/tmp/don')
+from mover import *
+from frameopt import optimise
+from fractions import Fraction as Fr
+V=112
+def slot_info(w,ci):
+    B=w['B'];g=B[ci];E,X=g[1],g[2]
+    reads=[(i,B[i][1],B[i][2],Fr(B[i][3],B[i][4])) for i in range(ci+1,len(B)) if B[i][0]=='add' and istgt(B[i][1]) and B[i][2] in (E,X)]
+    pre=[(i,B[i][1],Fr(B[i][3],B[i][4])) for i in range(ci) if B[i][0]=='add' and istgt(B[i][1]) and B[i][2]==E]
+    return E,X,reads,pre
+def build(w,ci,assign,dons,restore='C'):
+    """assign: dict read_index->src (E or X); dons: list of (read_index, H, iH) meaning read is delivered via H += src before H's read."""
+    B=w['B'];E,X,reads,pre=slot_info(w,ci)
+    hf=set(map(int,w['helper_final']))
+    clean=(str(E) in w['start_extra']) and not any(j<ci and B[j][1]==E for j in range(len(B)))
+    priorY=any(j<ci and B[j][1]==E for j in range(len(B)))
+    ecoef=collections.Counter()
+    for (i,t,s,c) in reads:
+        if assign[i]==E: ecoef[t]+=c
+    if clean:
+        pos0=pre[0][0] if pre else ci
+        newpre=[['add',t,E,(-c).numerator,(-c).denominator,[]] for t,c in sorted(ecoef.items()) if c!=0]
+        oldpre={p[0] for p in pre}
+    else:
+        pos0=ci; oldpre=set()
+        if str(E) in w['start_extra'] or priorY:
+            e0=collections.Counter()
+            for (i,t,s,c) in reads:
+                if s==E: e0[t]+=c
+            dl={t:ecoef[t]-e0[t] for t in set(ecoef)|set(e0)}
+            newpre=[['add',t,E,(-c).numerator,(-c).denominator,[]] for t,c in sorted(dl.items()) if c!=0]
+        else: newpre=[]
+    if any(x[4]&(x[4]-1) for x in newpre): return None
+    ins=collections.defaultdict(list)
+    ins[pos0]+=newpre
+    dset={d[0]:d for d in dons}
+    for (i,H,iH) in dons:
+        src=assign[i]
+        lw=[j for j,g in enumerate(B) if j<iH and g[1] in (H,src)]
+        p=max(max(lw)+1 if lw else 0,ci+1)
+        r=Fr(B[i][3],B[i][4])/Fr(B[iH][3],B[iH][4])
+        ins[p].append(['add',H,src,r.numerator,r.denominator,[]])
+    nb=[]
+    for j,g in enumerate(B):
+        nb.extend(copy.deepcopy(ins.get(j,[])))
+        if j in oldpre: continue
+        if j in dset: continue
+        g=list(g)
+        if j in assign: g=g[:2]+[assign[j]]+g[3:]
+        nb.append(g)
+    w=copy.deepcopy(w);w['B']=nb
+    for (i,H,iH) in dons:
+        src=assign[i]
+        r=Fr(B[i][3],B[i][4])/Fr(B[iH][3],B[iH][4])
+        if H in hf or src in hf:
+            w['cleanup'].append(['add',H,src,-r.numerator,r.denominator,FULLF])
+            w['early_cleanup'].insert(0,[len(w['cleanup'])-1,[]])
+        else:
+            w['cleanup'].insert(0,['add',H,src,-r.numerator,r.denominator,FULLF])
+            w['early_cleanup']=[[k+1,U] for k,U in w['early_cleanup']]
+    return w
+def holders(w,ci,i,src_set):
+    """holder reads by same target t with same coefficient, H not read by others after, not written after."""
+    B=w['B'];t=B[i][1];c=(B[i][3],B[i][4])
+    out=[]
+    for j,g in enumerate(B):
+        if j<=ci or g[0]!='add' or g[1]!=t or istgt(g[2]) or g[2] in src_set: continue
+        r=Fr(c[0],c[1])/Fr(g[3],g[4])
+        if r.denominator&(r.denominator-1) or abs(r.numerator)>2: continue
+        H=g[2]
+        if any(k>j and B[k][0]=='add' and B[k][2]==H for k in range(len(B))): continue
+        if any(k>j and B[k][1]==H for k in range(len(B))): continue
+        out.append((H,j))
+    return out
diff --git a/research/complex-u10-t37/construction/u10/reproduce_u10.py b/research/complex-u10-t37/construction/u10/reproduce_u10.py
new file mode 100644
index 0000000000..78e295901d
--- /dev/null
+++ b/research/complex-u10-t37/construction/u10/reproduce_u10.py
@@ -0,0 +1,90 @@
+#!/usr/bin/env python3
+"""Rebuild the U10 word (two further triangle-hybrid B deliveries on PR869's U8 word) and its native locals.
+
+Input: the U8 word written by the vendored PR870 driver (`native/barch/FULL-WORD.json.gz`, content 090fd574...).
+Steps, each checked exactly:
+  1. u10: NewBArch's unchanged standard-library builder `build_tri.py` applies RECIPE-U10.json (explicit B deletes and
+     inserts with frames, two early-cleanup tails and two FULL-cleanup restores); base and result shas are checked.
+  2. u10-controls: NewBArch's unchanged `run_controls.py` rebuilds C0 (identity), the recipe word (must PASS the
+     independent audit_local.py) and the four mutants globally and per new slot (X = 444, 446); 14 outcomes, all required.
+  3. layer-end-controls, native, ledgers, local-replay, wrappers, phases: PR635's native local programs, exactly as
+     in the PR870 driver.
+Apache-2.0.
+"""
+import argparse, gzip, hashlib, json, os, subprocess, sys, time
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+PKG = HERE.parents[1]
+T21 = PKG.parents[1]/'research/complex-t21-owners'
+BARCH = T21/'vendor/pr870/construction/barch'
+P6 = T21/'vendor/pr870/construction/layers_p6n'
+MUTANTS = ('drop_restore', 'restore_full', 'drop_preread', 'donation_after')
+
+
+def read(p):
+    raw = Path(p).read_bytes()
+    return json.loads(gzip.decompress(raw) if str(p).endswith('.gz') else raw)
+
+
+def main():
+    assert __debug__, 'Assertions are required'
+    ap = argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--main', type=Path, required=True)
+    ap.add_argument('--pr635', type=Path, required=True)
+    ap.add_argument('--u8-word', type=Path, required=True)
+    ap.add_argument('--out', type=Path, required=True)
+    a = ap.parse_args()
+    out = a.out.resolve(); assert not out.exists(); out.mkdir(parents=True)
+    up = a.pr635.resolve()/'research/complex-571-cold14-st2'
+    src = a.main.resolve()/'research/complex-k492-owner-repair/vendor/multicold'
+    base = src/'vendor/pr558'; parent = base/'vendor/pr552'
+    rfile = HERE/'RECIPE-U10.json'; rec = read(rfile); pins = read(HERE/'LOCAL-PINS-U10.json')
+    env = dict(os.environ, PYTHONDONTWRITEBYTECODE='1', PYTHONUTF8='1', PYTHONINTMAXSTRDIGITS='0',
+               MULTICOLD_SOURCE=str(src), GAIN_PR564_SOURCE=str(src))
+    for k in ('PYTHONOPTIMIZE', 'XPARAM', 'EXTRAH', 'PAIRING_RANKS', 'DIAG', 'HYBBUDGET', 'PR635_CODE'): env.pop(k, None)
+    steps = []
+
+    def run(label, script, *args, portable=True):
+        t = time.monotonic()
+        cmd = [sys.executable, '-B'] + ([str(src/'code/run_portable.py')] if portable else []) + [str(script), *map(str, args)]
+        with (out/(label+'.log')).open('w') as f:
+            rc = subprocess.call(cmd, env=env, stdout=f, stderr=subprocess.STDOUT)
+        steps.append(dict(step=label, exit_code=rc, seconds=round(time.monotonic()-t, 3)))
+        (out/'STEPS.json').write_text(json.dumps(steps, indent=2)+'\n')
+        assert rc == 0, label
+        print('PASS', label, flush=True)
+
+    inp = a.u8_word.resolve()
+    assert hashlib.sha256(gzip.decompress(inp.read_bytes())).hexdigest() == rec['base_sha256'], 'input must be the pinned U8 word'
+    (out/'u10').mkdir(); word = out/'u10/FULL-WORD.json.gz'
+    run('u10', BARCH/'build_tri.py', inp, rfile, word, portable=False)
+    assert hashlib.sha256(gzip.decompress(word.read_bytes())).hexdigest() == rec['expect_sha256']
+    run('u10-controls', BARCH/'run_controls.py', inp, rfile, T21/'vendor/pr870/independent/audit_local.py', out/'u10-controls', portable=False)
+    res = read(out/'u10-controls/controls.json')
+    want = ['C0_identity', 'recipe', *MUTANTS] + [m+'@'+str(v['X']) for v in rec['variants'] for m in MUTANTS]
+    assert sorted(res) == sorted(want) == sorted(pins['u10_controls']) and all(x['ok'] for x in res.values()), res
+    routing = parent/'complex-local/inputs/phase-baseline/CANONICAL-WORD.json.gz'
+    env['PR635_CODE'] = str(up/'code')
+    run('layer-end-controls', P6/'layer_end_controls.py', word, routing, out/'controls')
+    env.pop('PR635_CODE')
+    ctl = read(out/'controls/COLD-END-CONTROLS.json')
+    assert ctl['status'] == 'PASS_COLD_END_RAW_WORD_CONTROLS' and len(ctl['rejected']) == pins['layer_controls'], len(ctl['rejected'])
+    local = out/'local'
+    run('native', up/'code/hpe_audit_and_transport.py', '--raw', word, '--routing', routing, '--out', local)
+    if pins.get('canonical_sha256'):
+        assert hashlib.sha256(gzip.decompress((local/'CANONICAL-WORD.json.gz').read_bytes())).hexdigest() == pins['canonical_sha256'], 'canonical word'
+    run('ledgers', up/'code/hpe_emit_local.py', local)
+    run('local-replay', up/'code/hpe_audit_local.py', local)
+    run('wrappers', up/'code/hpe_adapters_local.py', local/'CANONICAL-WORD.json.gz',
+        local/'RESIDUAL-ADAPTERS.json', local/'WRAPPER-CHECKS.json')
+    checks = read(local/'LOCAL-CHECKS.json')
+    for o, s in pins.get('program_sha256', {}).items(): assert checks[o]['sha256'] == s, ('local program', o)
+    run('phases', base/'code/phases_full.py', local, parent/'complex-global/vendor531/vendor/clifford')
+    if pins.get('clifford_recipes_sha256'):
+        assert hashlib.sha256((local/'CLIFFORD-RECIPES.json').read_bytes()).hexdigest() == pins['clifford_recipes_sha256'], 'clifford recipes'
+    print('DONE', local, flush=True)
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/complex-u10-t37/evidence/ALL-T-BOUND.json b/research/complex-u10-t37/evidence/ALL-T-BOUND.json
new file mode 100644
index 0000000000..b744e58ee5
--- /dev/null
+++ b/research/complex-u10-t37/evidence/ALL-T-BOUND.json
@@ -0,0 +1,350 @@
+{
+  "status": "PASS_ALL_T_U10_SIGNED_DUAL_RELAXATION_BOUND",
+  "scope": "All positive integer replica counts, the fixed U10 local paid profile and helper widths, unchanged 8/16/32/48 capacity inventory, whole helpers, native no-surcharge complex moment and retained outer recipe. Time windows, bin count realizability, owner geometry, payload/invoice admission and physical execution are relaxed in this arithmetic component. The package separately certifies its T37 construction and finite admission; this upper bound alone does not establish feasibility.",
+  "dual_bin_vectors": 1163,
+  "upper": {
+    "8": 2,
+    "0": 0,
+    "1": 19,
+    "3": 7,
+    "4": 1,
+    "16": 4,
+    "7": 8,
+    "9": -4,
+    "2": 13,
+    "11": 9,
+    "6": 14,
+    "12": 3,
+    "5": 20,
+    "32": 8,
+    "23": 12,
+    "14": 16,
+    "24": 6,
+    "15": 10,
+    "25": 0,
+    "17": -2,
+    "18": -8,
+    "10": 15,
+    "27": -12,
+    "19": 11,
+    "20": 5,
+    "13": -3,
+    "22": -7,
+    "28": 7,
+    "21": -1,
+    "48": -13,
+    "39": -9,
+    "30": -5,
+    "40": -15,
+    "31": -11,
+    "41": -21,
+    "33": -23,
+    "34": -29,
+    "26": -6,
+    "43": -33,
+    "35": -10,
+    "36": -16,
+    "29": -24,
+    "38": -53,
+    "44": -14,
+    "37": -22
+  },
+  "mass_per_replica": 14382,
+  "signed_price_per_replica": -3892,
+  "credit_per_replica": 150,
+  "equality_replica_counts": "positive multiples of 37 only",
+  "normalized_idle": {
+    "1": "6/37",
+    "48": "11086/37"
+  },
+  "smallest_integral_relaxed_profile": {
+    "replicas": 37,
+    "idle": {
+      "48": 11086,
+      "1": 6
+    },
+    "profile": {
+      "1": 848490,
+      "2": 112554,
+      "3": 149850,
+      "4": 51282,
+      "5": 25308,
+      "8": 2664,
+      "48": 11086
+    },
+    "live": 33152,
+    "deficit": 11840
+  },
+  "root": {
+    "lower": "0.00166480605047151514435",
+    "upper": "0.001664806050471515144351",
+    "lower_endpoint_residual_upper": "-4.301085688129659536376902309391945236902965415667572748476939671174510E-25",
+    "upper_endpoint_residual_lower": "2.517556478701709617909211641019179729261369108175523310847618933326740E-24",
+    "strict_rational_signs": true,
+    "moment_minus_one_at_current_k_required_rate": [
+      "-0.002852814280227533280941029018200756052965782122374432171236179624948158",
+      "-0.002852814280227533280941029018200756052965782122374432171236179624873973"
+    ],
+    "nominal_k_ceiling_interval": [
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+      "0.001662039077758742293145314390787160848683996462379167873669606916024232"
+    ]
+  },
+  "two_engine_signs": {
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+      "mercator": [
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+      ],
+      "atanh": [
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+    "upper": {
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+      ],
+      "atanh": [
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+    }
+  },
+  "relaxed_outer_lower": {
+    "complex_b": "33296121009430302887/20000000000000000000000",
+    "bit_c": "1733427039589844234749/1000000000000000000000000",
+    "kappa": "831019538879371/500000000000000000",
+    "kappa_decimal": "0.001662039077758742",
+    "binding": "complex",
+    "strict_constraints_passed": 47,
+    "controls_rejected": [
+      "next_grid",
+      "zero_eta",
+      "zero_beta",
+      "unit_beta"
+    ]
+  },
+  "relaxed_outer_upper": {
+    "complex_b": "1664806050471515144351/1000000000000000000000000",
+    "bit_c": "1733427039589844234749/1000000000000000000000000",
+    "kappa": "831019538879371/500000000000000000",
+    "kappa_decimal": "0.001662039077758742",
+    "binding": "complex",
+    "strict_constraints_passed": 47,
+    "controls_rejected": [
+      "next_grid",
+      "zero_eta",
+      "zero_beta",
+      "unit_beta"
+    ]
+  },
+  "baseline_kappa": "1661960547713947/1000000000000000000",
+  "all_T_grid_upper": "831019538879371/500000000000000000",
+  "maximum_grid_headroom": "15706008959/200000000000000000",
+  "maximum_grid_headroom_decimal": "7.8530044795E-8",
+  "source_sha256": {
+    "research/complex-k492-owner-repair/vendor/multicold/engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482",
+    "research/complex-k492-owner-repair/vendor/multicold/engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098",
+    "research/complex-k492-owner-repair/vendor/multicold/engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c",
+    "research/complex-t21-owners/vendor/pr870/independent/price_profile_t16.py": "53f8e62dcf27bee032c1bee0245d126a9c8a12ebcf24f6aaff65ea3122fffe29",
+    "research/complex-t21-owner-bound/PROOF.md": "2aa0aa6ec1d87402138564c38749b5ca0f058c16817efdf58a2685d2d90cb417"
+  }
+}
diff --git a/research/complex-u10-t37/evidence/README.md b/research/complex-u10-t37/evidence/README.md
new file mode 100644
index 0000000000..12012342cb
--- /dev/null
+++ b/research/complex-u10-t37/evidence/README.md
@@ -0,0 +1,21 @@
+# Retained arithmetic evidence
+
+`ALL-T-BOUND.json` is the U10 all-replica bound (independent/all_t_bound.py). `u10/` holds the
+U10 construction receipts (audit_local, 14 controls, 95 end controls, native chain). `strict/` holds the
+receipts of the passing strict replay: RESULT, FINAL-BINDING, STAGES, the strict ASSEMBLY, payload controls,
+the independent owner check, and the discovery and strict sub-stage lists.
+
+They are review snapshots, not verifier inputs. Run the package verifier to
+rebuild ancestry, U8, ownership, the emitted controller, invoice and binding
+receipts. The verifier does not substitute these snapshots for computation.
+Generated artifact hashes can vary with compression and runtime paths; compare
+proof-relevant profiles, exact rational endpoints and inequalities, not unrelated
+container metadata. Committed source files retain exact byte pins.
+
+The default CI rebuilds the complete chain on Python 3.11 and 3.14. Local replay
+success does not imply a hosted CI result or an unconditional theorem proof.
+
+Note on `strict/RESULT.json` and `strict/FINAL-BINDING.json`: their `pins` record the package manifest at replay time.
+After the replay, only this README, the top-level README status paragraph and the `strict/` receipt copies were added,
+and MANIFEST.json was regenerated. No code, data or construction file changed, so a fresh replay reproduces the same
+exact fields with the current manifest pin.
diff --git a/research/complex-u10-t37/evidence/strict/ASSEMBLY.json b/research/complex-u10-t37/evidence/strict/ASSEMBLY.json
new file mode 100644
index 0000000000..62f88a4d9c
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/ASSEMBLY.json
@@ -0,0 +1,344 @@
+{
+  "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY",
+  "kappa": "831019538879371/500000000000000000",
+  "kappa_decimal": "0.001662039077758742",
+  "complex_lower": "33296121009430302887/20000000000000000000000",
+  "complex_decimal": "0.00166480605047151514435",
+  "bit_lower": "1733427039589844234749/1000000000000000000000000",
+  "bit_decimal": "0.001733427039589844234749",
+  "binding": "complex",
+  "gain_over_pr635_percent": "1.576636221334081540117158664621201996768272059300816624552612974829666",
+  "complex_profile": {
+    "1": 848490,
+    "2": 112554,
+    "3": 149850,
+    "4": 51282,
+    "5": 25308,
+    "8": 2664,
+    "48": 11086
+  },
+  "provider_counts": {
+    "gauge44": 333
+  },
+  "surcharge_model": {
+    "complex": false,
+    "bit": true
+  },
+  "conservative_complex_lower": "1664806047579406122631/1000000000000000000000000",
+  "conservative_complex_decimal": "0.001664806047579406122631",
+  "conservative_kappa": "831019537438119/500000000000000000",
+  "conservative_kappa_decimal": "0.001662039074876238",
+  "conservative_moments": [
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "1664806047579406122631/1000000000000000000000000",
+      "accept": true,
+      "mercator": [
+        "-1686051574260469144199210739342666167821889/13479973333575319897333507543509815336818572211270286240551805124608",
+        "-26344555847819830378112667802229158872217/210624583337114373395836055367340864637790190801098222508621955072"
+      ],
+      "base_two": [
+        "-625394034957283210977/5000000000000000000000000000000000000000000000",
+        "-1250778069914566421811/10000000000000000000000000000000000000000000000"
+      ]
+    },
+    {
+      "side": "conservative_complex",
+      "surcharge": true,
+      "endpoint": "208100755947425765329/125000000000000000000000",
+      "accept": false,
+      "mercator": [
+        "76096789325243443681359509034235182946230827/26959946667150639794667015087019630673637144422540572481103610249216",
+        "76096789325243443681359509034235182946230829/26959946667150639794667015087019630673637144422540572481103610249216"
+      ],
+      "base_two": [
+        "14112930965225596950749/5000000000000000000000000000000000000000000000",
+        "28225871930451193901641/10000000000000000000000000000000000000000000000"
+      ]
+    }
+  ],
+  "conservative_bootstrap": [
+    {
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+      "cutoff_log2": "4910766002645"
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+      "cutoff_log2": "639285216170176109752794"
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+    "scalar_work_above_kappa": "30062148216571114221373035287815328253553758493789660681191281329667426287182778627438271263495901767490497894455214182005918421370440314497682679051235204772194667321041076311444194000291451294717769681545709766962312918540578934606117938242575038249716196288889251311996853141207838620626957021383938672670197376775475143508469971100619986221854905195975826257808014178626674733672981758372663343679/102570476139568283150775536580827996498781433656095392801664444789876271594669547733019502960826785963346638731437424133493200170043345594529277592923565367370024849062506299897881933612340357302064749489348749466313575946866264638318982832159721303673370785266243471409712710366193955166968133186197130277728158537694670685951387223108056590233236183178021823134634087470099082791993295045250568000000000000000000000000",
+    "dimension_above_kappa": "6389345241276982304955401228565789698039187217416375503461804753224537256152864612793970128805621374861568697468521733584096446421356876072166094693556012659116071634276751269998978435112928238916683234136525210684303530798320706077313335973615686825989183928074099175322902818377715901591415385568719007321449647169119766335005929355452235319316845740375065724643412305024977544908913185164815031003645672345909/6410654758723017696923471036301749781173839603505962050104027799367266974666846733313718935051674122709164920714839008343325010627709099658079849557722835460626553066406643743617620850771272331379046843084296841644598496679141539894936427009982581479585674079140216963107044397887122197935508324137320642358009908605916917871961701444253536889577261448626363945914630466881192674499580940328160500000000000000000"
+  },
+  "controls": [
+    "next_grid",
+    "zero_eta",
+    "zero_beta",
+    "unit_beta"
+  ],
+  "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all333 whole-owner dispatch with a T21 plus T16 eight-role trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T37 composition of the PR870 U8 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification."
+}
diff --git a/research/complex-u10-t37/evidence/strict/DISCOVERY-STAGES.json b/research/complex-u10-t37/evidence/strict/DISCOVERY-STAGES.json
new file mode 100644
index 0000000000..0653e5fab0
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/DISCOVERY-STAGES.json
@@ -0,0 +1,38 @@
+[
+  {
+    "name": "bind",
+    "exit_code": 0,
+    "seconds": 1.366,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "exit_code": 0,
+    "seconds": 40.929,
+    "log_sha256": "b59b63482942a8b76d8cfb6de37a6ea9ad5ea3c855b566ab283e771a35487e71"
+  },
+  {
+    "name": "audit",
+    "exit_code": 0,
+    "seconds": 109.371,
+    "log_sha256": "9da468a58f079524059d1a7904421dd01c5a8c518783edaf73f4cba973719bb3"
+  },
+  {
+    "name": "invoice",
+    "exit_code": 0,
+    "seconds": 3.137,
+    "log_sha256": "281b5b5d72d03b4d2d4fbfd862469073363162985f8557f0394170353b100dbf"
+  },
+  {
+    "name": "assembly",
+    "exit_code": 0,
+    "seconds": 0.932,
+    "log_sha256": "c387bffbc6724519f4a292a3dcdab6ce6041c7a73af9eb630c3c437071dc7ba0"
+  },
+  {
+    "name": "freeze",
+    "exit_code": 0,
+    "seconds": 0.06,
+    "log_sha256": "0701fc05214e63f8b4fac0dd3c290dea325b51e8c58586d732dc2ca70c82d3b1"
+  }
+]
diff --git a/research/complex-u10-t37/evidence/strict/FINAL-BINDING.json b/research/complex-u10-t37/evidence/strict/FINAL-BINDING.json
new file mode 100644
index 0000000000..3df9f9ad8d
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/FINAL-BINDING.json
@@ -0,0 +1,84 @@
+{
+  "status": "PASS_COMPLETE_U10_T37_RESULT_BINDINGS",
+  "pins": {
+    "manifest_sha256": "c81fc68bf896055136eb9d05cac6d6e5ae16f46469bddaeaab32e4d833f800a6",
+    "dependencies_sha256": "0160ea2677cc9ceeb0f861dc2774d470a27cbaa58b8fd6c064cf0683d18f3e87",
+    "predecessor": {
+      "manifest_sha256": "663a4300ec3abe2278ac6c8e49dd13dc58694c33bfadaa278c5406539e113a31",
+      "dependencies_sha256": "7c47d44e8d5c24aa80afc70724e7c0381fec57ef80d085d2ee4611726a0f1254"
+    }
+  },
+  "kappa": "831019538879371/500000000000000000",
+  "actual_payload": {
+    "template": "cf7bb4764b2fa1ef76e7781ce9e14c08d01851aafb5940ada6539904c0926a6b",
+    "sigma_stream": "cdeabb863fd48b7c29554a2c2f909659be5911a3c2abd6b5188b7d5d7bdb50fe",
+    "sigmas": 9628,
+    "source_artifacts": {
+      "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
+      "providers/gauge44/CANONICAL-WORD.json.gz": "3691f0a284a72e252694c6145d9c08971b8339b7ca8aa103e8f6f93bd461563b",
+      "providers/gauge44/LOCAL-PROGRAMS.json.gz": "0757108be6b4af2598aeeff482692eedd1ef7af4a1aac6ebe5ff069a90265812",
+      "providers/gauge44/LOCAL-CHECKS.json": "278e4af527e2530abe670a4b786c512be1d10bdd45ff0f5da22fbae6aea7593f",
+      "providers/gauge44/INDEPENDENT-LOCAL-REPLAY.json": "86973e80297660a8b82b9c4fe439cbee7ee413dfc17bc371c26cf7683705e802",
+      "providers/gauge44/RESIDUAL-ADAPTERS.json": "8b06181f69832da05e3bffab0737598013e20de6f1f48aad43617fbfe62df615",
+      "providers/gauge44/CLIFFORD-RECIPES.json": "27a03e185257ef29e842cd6c49a29c58bbe632b0cbd396f64c3523c38b7b3fe9",
+      "providers/gauge44/CLIFFORD-REVIEW.json": "86fd3e0f4bf1be854abfb551cb299ced5c5175df1030f35d07c126847d1c209c"
+    }
+  },
+  "authorized_adapters": {
+    "build_parent.py": "7e15d1d3d781d5a9a6e1ac1b7938d166d5b3afd8d655cc1fd24d2785b5d5e608",
+    "check_parent.py": "fb0f23bb960160bb73794f21a90d049706f0dd9ea09866aa1f7de976a133b7db",
+    "runtime/assemble.py": "d89ed7a68f19e6d0dbb9d1bd75805433b1dc000bd89649fb598ef381c3887925",
+    "runtime/assembly_controls.py": "29ba6742d899d2318a96745c8ec21de06ba3968d4641c3400a15bc714e0d7f9e",
+    "runtime/audit_allcold.py": "a8d3c48e26957c5174ea35043545d3863a4c19c82422074ac42132b446533b4a",
+    "runtime/bind_providers_portable.py": "1d39bcc7b63ac158e021454beaae897d123e174360573762aecade3cd43193f6",
+    "runtime/bit_supplier_controls.py": "e6d33fb61a570c3f50669412acc467a3fd06ef0b806da6a75bc296c6ba2142a5",
+    "runtime/emit_allcold.py": "3219e0706d497a2e6b595cec0a0d5bdbfbd1d991bf70136762eada44126a9ac1",
+    "runtime/freeze_spec.py": "e9132a9d195c66123f2747a17f7ef404b4d1e3ef6263ab4c28c983a052cf10bd",
+    "runtime/generated_identity.py": "c8af22719c0f3097a991a3f6ccac8f090afd2faba554745733d9ea88f2c25708",
+    "runtime/invoice_allcold.py": "e348dfdca722088144d3db2e619ab3369228011212f558ea1fe12514ff06877c",
+    "runtime/prepare_global.py": "8c0dae301a8f34b77a5a462f840952d08ed120576212adf5051bc09bcad874dc",
+    "runtime/restore_parent.py": "69b7b25ff85e9b8160e233c1d415cc6a0272019e5c486dcec14cb6c349e7024d",
+    "runtime/witness.py": "779c5172894b992131e85be1e592ed2a1aec8c287b872ff42007d36a7291e444"
+  },
+  "artifacts": {
+    "ANCESTRY-COVERAGE.json": "1f13c6059cce22f05ade7f8da6315d6c9105d45261e674c3e90e6d5e3762cc9f",
+    "BASELINE-BINDING.json": "6299e525f95c3d6f39bfdeacc8757e0e68f413ef24e9632cfd8a77d080d25553",
+    "ADAPTATIONS.json": "17eccfe3eaa96ab1ad546af613c5f468c7fcb34af8c15f3ab3e635feaec65954",
+    "CONSTRUCTION-CHECK.json": "63b865323921b7ac77dc45a2824c605cb385a775e299bf9aee203203db180be2",
+    "INDEPENDENT-OWNERS.json": "6aa320555892dd56dd4fde442d47aeb0d22e0fd6c118fd1473615c856636eff0",
+    "PARENT-CHECK.json": "2b729fd666ffe4e34a355223b57f74ba460fb171b19c84f260378dd109f0b9a0",
+    "ALL-T-BOUND.json": "7e19124d775b18db394efade193a5144b887501e724ffbaa547eb38d900eb5b8",
+    "PAYLOAD-CONTROLS.json": "bfa980ac0ac04fbd8e5d0f257ec885012c72f95b9b546b4c64c757f700a34d76",
+    "lift/PLAN.json": "2a375ee2a8203cbca3b3ea6942d72a82fa5f9ac0071810bd89da23ca0c0af37a",
+    "runtime/data/SPEC.json": "9e725805dc19d94d4e73887cd9d9916b3ec6dea76af78c5a47a1f10fc1d21508",
+    "native/STEPS.json": "3b7b4f7422c3f7a394dc355012808486b9e6b7f431ee032fbe190641cfe5fa89",
+    "native10/STEPS.json": "cf1a4b596dca9d4d25f5abc692e601133933924d7f651825332d549e52977f25",
+    "native10/u10-controls/controls.json": "cc66be54c54e498e34e1e1d52962a19a48f6554ba4c4131d4a04b5683b97c6eb",
+    "native10/controls/COLD-END-CONTROLS.json": "e375d2e05edde15c64c1506bc376700bda68c7e63fe2949109665682f7c07a98",
+    "strict/STAGES.json": "0f288109fdc0ee7fb9be2a254d8c960f6c682c1dfb1c332a6177ef65d1ed13e2",
+    "strict/ASSEMBLY.json": "f016a13711a02fa66cba77f8942cc6e2e2a11fedce53cda7b59f7ef5ea3302f7",
+    "strict/ADMISSION-CONTROLS.json": "53975a846c377b2f100f67c2051773031fe196af7c75202e4055c0b33eac05a9",
+    "strict/BIT-CONTROLS.json": "3111c41a99c2191e4c543acb8d10e0b305503ac3c64d37708480b89a16207ffa",
+    "strict/global/audit/OWNERS-AND-PROFILE.json": "9d6d9c6f04039a6aa06a3605f4fec6287b9101fd9412f67cffe8ad7a79e1f4ad",
+    "strict/global/audit/PREFIX-AND-INVOICE.json": "171450e5cad08f845e9f737e2d0817fc89cbd9396ea4446bc733558db64696fd",
+    "strict/global/audit/ASYNC-AUDIT.json": "9da468a58f079524059d1a7904421dd01c5a8c518783edaf73f4cba973719bb3",
+    "lift/GLOBAL-TEMPLATE.json.gz": "378d81d3fc38ac1a8cb8d54bf748ecda355c21f4e07f34c09709f1b4d9fcfbab",
+    "strict/global/PLAN.json": "ba5ba7fe081c93985de13cddc65438a11dc5b07323dc6170a9cac8b0a605f021",
+    "strict/global/BINDING.json": "45eb06635972dc44b76801f154b5897e4fc6f079ad5ffec02509a6338dfc6013",
+    "strict/global/hosted/HOSTED.json": "b59b63482942a8b76d8cfb6de37a6ea9ad5ea3c855b566ab283e771a35487e71",
+    "strict/global/hosted/GLOBAL-TEMPLATE.json.gz": "4e0af29d7f7de16a47e1e41d5be4b42e5559335980b9b78984d9ce946dbe3323",
+    "strict/global/hosted/ACTUAL-SIGMAS.json.gz": "b9b340768bdb84617d7b682aff9153bd0b23cc12129cb590795fa4977e115289",
+    "strict/global/hosted/IDLE-REMAINDER-FRAMES.json.gz": "69ebf869efc3559e70cc3f5499dd41f26d3be6a519f805bee78a38f895556ad2",
+    "strict/global/audit/IDLE-REMAINDER-FRAMES.json": "8f23408a4d720e5b566d6ee45b7b70aaa2108b11fe31fee795c9a71b9b8cba6d",
+    "discovery/STAGES.json": "5d8bf35fd63c8ed40f098ec663f358eedd4968b89ab22d4628d1bef59fbc8ef1",
+    "independent_check_1024.py": "95acdd1b8f284ffb0dd6fce2e7b640ae0240fe2a0575ff9d8f4558901e77e2dc",
+    "strict/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa",
+    "strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz": "3691f0a284a72e252694c6145d9c08971b8339b7ca8aa103e8f6f93bd461563b",
+    "strict/global/base/providers/gauge44/LOCAL-PROGRAMS.json.gz": "0757108be6b4af2598aeeff482692eedd1ef7af4a1aac6ebe5ff069a90265812",
+    "strict/global/base/providers/gauge44/LOCAL-CHECKS.json": "278e4af527e2530abe670a4b786c512be1d10bdd45ff0f5da22fbae6aea7593f",
+    "strict/global/base/providers/gauge44/INDEPENDENT-LOCAL-REPLAY.json": "86973e80297660a8b82b9c4fe439cbee7ee413dfc17bc371c26cf7683705e802",
+    "strict/global/base/providers/gauge44/RESIDUAL-ADAPTERS.json": "8b06181f69832da05e3bffab0737598013e20de6f1f48aad43617fbfe62df615",
+    "strict/global/base/providers/gauge44/CLIFFORD-RECIPES.json": "27a03e185257ef29e842cd6c49a29c58bbe632b0cbd396f64c3523c38b7b3fe9",
+    "strict/global/base/providers/gauge44/CLIFFORD-REVIEW.json": "86fd3e0f4bf1be854abfb551cb299ced5c5175df1030f35d07c126847d1c209c"
+  }
+}
diff --git a/research/complex-u10-t37/evidence/strict/INDEPENDENT-OWNERS.json b/research/complex-u10-t37/evidence/strict/INDEPENDENT-OWNERS.json
new file mode 100644
index 0000000000..7e11dbb775
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/INDEPENDENT-OWNERS.json
@@ -0,0 +1,209 @@
+{
+  "status": "PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW",
+  "roles": 167832,
+  "calls": 333,
+  "source_events_per_replica": 30,
+  "expanded_replica_events": 1110,
+  "bridge_events": 333,
+  "literal_windows": 666,
+  "checked_whole_helper_widths": 167832,
+  "checked_busy_family_windows": 167832,
+  "orthogonal_port_bases": 112,
+  "actual_73_axis_charts": 9628,
+  "checked_slice_prefixes": 74592,
+  "local_profile": {
+    "1": 2548,
+    "2": 338,
+    "3": 450,
+    "4": 154,
+    "5": 76,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 80,
+    "5": 32,
+    "7": 54,
+    "8": 122,
+    "9": 216
+  },
+  "idle": {
+    "1": 6,
+    "48": 11086
+  },
+  "profile": {
+    "1": 848490,
+    "2": 112554,
+    "3": 149850,
+    "4": 51282,
+    "5": 25308,
+    "8": 2664,
+    "48": 11086
+  },
+  "live": 33152,
+  "physical": 33666,
+  "rank_mass": 2408256,
+  "deficit": 11840,
+  "namespace": {
+    "data": [
+      0,
+      33152
+    ],
+    "centres": [
+      33152,
+      33160
+    ],
+    "tableau": [
+      33160,
+      33664
+    ],
+    "coefficient": [
+      33664,
+      33666
+    ]
+  },
+  "local_prefix_bits": 72,
+  "local_prefix_from_native_receipt": true,
+  "local_profile_recounted": true,
+  "prefix_formula": {
+    "local_scalar": 72,
+    "input_l2": 37,
+    "invocations": 333,
+    "bridges": 333,
+    "margin": 4
+  },
+  "prefix_bits": 779,
+  "charged_prefix_bits": 1024,
+  "physical_stock_bits": 2643,
+  "physical_row_coefficient": 17495,
+  "row_limit": 20161,
+  "scope": "Fresh independent full owner/event/chart/profile/prefix/row check with native U8 word/replay binding. Full controller emission, complete finite invoice and supplier ancestry admission remain separate.",
+  "controls_rejected": [
+    {
+      "name": "private_namespace_collision",
+      "reason": "private-namespace collision"
+    },
+    {
+      "name": "copy_replica_alias",
+      "reason": "role invocation time"
+    },
+    {
+      "name": "missing_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "split_whole_helper",
+      "reason": "complete helper role count"
+    },
+    {
+      "name": "truncated_helper_width",
+      "reason": "whole-helper residual width"
+    },
+    {
+      "name": "cross_idle_boundary",
+      "reason": "strict bridge-aware idle window"
+    }
+  ],
+  "omitted_edits_rejected": [
+    {
+      "role": [
+        0,
+        30,
+        5
+      ],
+      "reason": "gap in pending prefix"
+    },
+    {
+      "role": [
+        7,
+        18,
+        266
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        8,
+        23,
+        193
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        8,
+        2,
+        193
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        5,
+        27,
+        186
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        7,
+        27,
+        414
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        7,
+        6,
+        414
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    },
+    {
+      "role": [
+        8,
+        26,
+        414
+      ],
+      "reason": "overlapping or out-of-capacity slice"
+    }
+  ],
+  "checker_adaptation": {
+    "source_sha256": "9d8c86bf45cdaef37f223c88704055ced503ee295645611e13f3fb9059a00e55",
+    "adapted_sha256": "95acdd1b8f284ffb0dd6fce2e7b640ae0240fe2a0575ff9d8f4558901e77e2dc",
+    "changes": [
+      [
+        "2 * 512",
+        "2 * 1024",
+        1
+      ],
+      [
+        "prefix < 512",
+        "prefix < 1024",
+        1
+      ],
+      [
+        "charged_prefix_bits=512",
+        "charged_prefix_bits=1024",
+        1
+      ],
+      [
+        "1 <= T <= 22",
+        "1 <= T <= 50",
+        1
+      ]
+    ]
+  },
+  "input_sha256": {
+    "/tmp/u10-t37-run3/native10/local/CANONICAL-WORD.json.gz": "3691f0a284a72e252694c6145d9c08971b8339b7ca8aa103e8f6f93bd461563b",
+    "/tmp/u10-t37-run3/native10/local/INDEPENDENT-LOCAL-REPLAY.json": "86973e80297660a8b82b9c4fe439cbee7ee413dfc17bc371c26cf7683705e802",
+    "/tmp/wu10/research/complex-u10-t37/OWNERS.json.gz": "f89e00863c8415d1df1de9c481528f677eeda808ef3cd83bfa5ca3e7d9360f5a",
+    "/tmp/wu10/research/complex-u10-t37/EDITS.json": "cd28d8014fe6576a56a640d9a94b6b3fbd7715ea1a6c2858c1597b3c9fb51576",
+    "/tmp/wu10/research/complex-t21-owners/independent_check.py": "9d8c86bf45cdaef37f223c88704055ced503ee295645611e13f3fb9059a00e55",
+    "/tmp/v799/global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz": "ab8448de2036a23d9b55a196a8846512dc24fdf09855c1e0f0caa5b7a6965f7b",
+    "/tmp/v799/global/global/base/split-centres/CANONICAL-WORD.json.gz": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "/tmp/v799/global/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"
+  },
+  "baseline_mode": "provided_replay_base"
+}
diff --git a/research/complex-u10-t37/evidence/strict/PAYLOAD-CONTROLS.json b/research/complex-u10-t37/evidence/strict/PAYLOAD-CONTROLS.json
new file mode 100644
index 0000000000..188321be93
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/PAYLOAD-CONTROLS.json
@@ -0,0 +1,122 @@
+{
+  "status": "PASS_T37_PAYLOAD_BOUNDARIES_AND_STRICT_ADMISSION_MUTATIONS",
+  "boundary": [
+    {
+      "payload": 512,
+      "prefix": 779,
+      "row": 16471,
+      "accepted_by_reserve_arithmetic": false,
+      "rejection": "strict prefix"
+    },
+    {
+      "payload": 778,
+      "prefix": 779,
+      "row": 17003,
+      "accepted_by_reserve_arithmetic": false,
+      "rejection": "strict prefix"
+    },
+    {
+      "payload": 779,
+      "prefix": 779,
+      "row": 17005,
+      "accepted_by_reserve_arithmetic": false,
+      "rejection": "strict prefix"
+    },
+    {
+      "payload": 780,
+      "prefix": 779,
+      "row": 17007,
+      "accepted_by_reserve_arithmetic": true,
+      "rejection": null
+    },
+    {
+      "payload": 1024,
+      "prefix": 779,
+      "row": 17495,
+      "accepted_by_reserve_arithmetic": true,
+      "rejection": null
+    },
+    {
+      "payload": 2356,
+      "prefix": 779,
+      "row": 20159,
+      "accepted_by_reserve_arithmetic": true,
+      "rejection": null
+    },
+    {
+      "payload": 2357,
+      "prefix": 779,
+      "row": 20161,
+      "accepted_by_reserve_arithmetic": false,
+      "rejection": "strict row"
+    }
+  ],
+  "geometry_sha256": "6aa320555892dd56dd4fde442d47aeb0d22e0fd6c118fd1473615c856636eff0",
+  "geometry_path": "/tmp/u10-t37-run3/INDEPENDENT-OWNERS.json",
+  "scope": "Strict reserve parameter boundaries plus actual frozen T37 assembly rejects eleven changed/understated payload-prefix-row receipts. Existing geometric and supplier audits remain prerequisites. Supplier ancestry admission is checked separately by the driver.",
+  "baseline_kappa": "0.001662039077758742",
+  "rejected_controls": [
+    {
+      "name": "different_payload_512_and_consistent_row",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "different_payload_779_and_consistent_row",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "different_payload_780_and_consistent_row",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "different_payload_1023_and_consistent_row",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "different_payload_1025_and_consistent_row",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "incorrect_prefix_491",
+      "source_line": 165,
+      "predicate": "assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+333+333+4"
+    },
+    {
+      "name": "incorrect_prefix_778",
+      "source_line": 165,
+      "predicate": "assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+333+333+4"
+    },
+    {
+      "name": "incorrect_prefix_780",
+      "source_line": 165,
+      "predicate": "assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+333+333+4"
+    },
+    {
+      "name": "incorrect_prefix_1024",
+      "source_line": 165,
+      "predicate": "assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+333+333+4"
+    },
+    {
+      "name": "incorrect_prefix_1025",
+      "source_line": 163,
+      "predicate": "assert 0<invoice['global_prefix_bits']<=invoice['charged_prefix_bits']==1024"
+    },
+    {
+      "name": "new_payload_but_old_512_row_charge",
+      "source_line": 164,
+      "predicate": "assert invoice['row_prefix_extra']==2048"
+    }
+  ],
+  "inputs": {
+    "/tmp/u10-t37-run3/INDEPENDENT-OWNERS.json": "6aa320555892dd56dd4fde442d47aeb0d22e0fd6c118fd1473615c856636eff0",
+    "/tmp/u10-t37-run3/strict/global/audit/OWNERS-AND-PROFILE.json": "9d6d9c6f04039a6aa06a3605f4fec6287b9101fd9412f67cffe8ad7a79e1f4ad",
+    "/tmp/u10-t37-run3/strict/global/audit/PREFIX-AND-INVOICE.json": "171450e5cad08f845e9f737e2d0817fc89cbd9396ea4446bc733558db64696fd",
+    "/tmp/u10-t37-run3/runtime/code/assemble.py": "d89ed7a68f19e6d0dbb9d1bd75805433b1dc000bd89649fb598ef381c3887925",
+    "/tmp/u10-t37-run3/runtime/data/SPEC.json": "9e725805dc19d94d4e73887cd9d9916b3ec6dea76af78c5a47a1f10fc1d21508"
+  }
+}
diff --git a/research/complex-u10-t37/evidence/strict/RESULT.json b/research/complex-u10-t37/evidence/strict/RESULT.json
new file mode 100644
index 0000000000..ead9270605
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/RESULT.json
@@ -0,0 +1,117 @@
+{
+  "status": "PASS_U10_T37_STRICT_WITH_SOURCE_BOUND_ANCESTRY",
+  "kappa": "831019538879371/500000000000000000",
+  "kappa_decimal": "0.001662039077758742",
+  "cold_baseline": "/tmp/v799",
+  "reused_completed_baseline": true,
+  "stages": [
+    {
+      "name": "ancestry-coverage",
+      "exit_code": 0,
+      "seconds": 0.121,
+      "log_sha256": "84e7b14bf5045963cf79594707227b0923a0448da6f89cfb55309b8a6d7b8fe2"
+    },
+    {
+      "name": "baseline799-binding",
+      "exit_code": 0,
+      "seconds": 0.119,
+      "log_sha256": "d634fcb721165a1da4804168fd6a221063b71d1621bb21457afd7e2a25f5476f"
+    },
+    {
+      "name": "u8-native",
+      "exit_code": 0,
+      "seconds": 672.293,
+      "log_sha256": "65cfd94661e24dd0e379bae6f4fe2271d80177be9eb89a9ad22655d5bf88e234"
+    },
+    {
+      "name": "u10-native",
+      "exit_code": 0,
+      "seconds": 750.945,
+      "log_sha256": "4a1ee6e167968a3433e00ca4f50a7b7d838b3a5b95b4152ff906f8129f3c66ef"
+    },
+    {
+      "name": "prepare",
+      "exit_code": 0,
+      "seconds": 0.14,
+      "log_sha256": "15f741ad9797fbd582395256e35bfb986f50ab32c0c45e206cbaf841ba360a0b"
+    },
+    {
+      "name": "frozen-construction",
+      "exit_code": 0,
+      "seconds": 7.393,
+      "log_sha256": "ea8a0969bac3fc5f57155e4f1e28f52f089612dcda2697ebef20ca3763b829da"
+    },
+    {
+      "name": "independent-owners",
+      "exit_code": 0,
+      "seconds": 29.649,
+      "log_sha256": "e6cae59b6fe8d259f52627cfb54a85485586bb974d12809e01d66eeee8dd3ce0"
+    },
+    {
+      "name": "build-parent",
+      "exit_code": 0,
+      "seconds": 11.209,
+      "log_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
+    },
+    {
+      "name": "check-parent",
+      "exit_code": 0,
+      "seconds": 55.103,
+      "log_sha256": "efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96"
+    },
+    {
+      "name": "independent-price",
+      "exit_code": 0,
+      "seconds": 1.518,
+      "log_sha256": "fae40e30f5785c412f42bf3fb5c2a42e6d49d01a450074c7fee35575ac5e8863"
+    },
+    {
+      "name": "discovery",
+      "exit_code": 0,
+      "seconds": 155.986,
+      "log_sha256": "b9de0946f3a0d956a500ef3ef8ca67a4a9d1ffd27b38deef00cdd229e8172e7e"
+    },
+    {
+      "name": "strict",
+      "exit_code": 0,
+      "seconds": 144.698,
+      "log_sha256": "6f5974edc572cb69a6f784cf30dd34c409c180a195b65fddc399049a653d1cbc"
+    },
+    {
+      "name": "payload-controls",
+      "exit_code": 0,
+      "seconds": 0.772,
+      "log_sha256": "d07d284f38925af9ab0bfe9778b5c214a78ffe43d8e961e7a71afa576a3eed32"
+    },
+    {
+      "name": "final-binding",
+      "exit_code": 0,
+      "seconds": 8.648,
+      "log_sha256": "e6e5275aeb615ff4433302fdae2aa041b0a1d31d482e97842aaf7478cba1436e"
+    }
+  ],
+  "roles": 167832,
+  "calls": 333,
+  "prefix_bits": 779,
+  "charged_prefix_bits": 1024,
+  "row_coefficient": 17495,
+  "source_sha256": {
+    "research/complex-u10-t37/OWNERS.json.gz": "f89e00863c8415d1df1de9c481528f677eeda808ef3cd83bfa5ca3e7d9360f5a",
+    "research/complex-u10-t37/ORDER.json": "2093ca4050e1ce95621f4702bebe8b01b36773b1ecfa2c0d6275e132bd33d578",
+    "research/complex-u10-t37/EDITS.json": "cd28d8014fe6576a56a640d9a94b6b3fbd7715ea1a6c2858c1597b3c9fb51576",
+    "research/complex-u10-t37/prepare.py": "0f80cbe78111ff70f84525f1d07b64b0dc877647d653298f14e0108b9cfda151",
+    "research/complex-u10-t37/replay.py": "64b0cce9f48dc631a073de7d8bb758ea1cd52b6d1af5cd96020748666b0a6688",
+    "research/complex-u10-t37/verify.py": "599534cb496baf9bc0b1104ed8dc8e7661be15f05a95af8f915843ab0c9a8129",
+    "research/complex-t37-owners/final_binding.py": "5dab1466c55c34aa32fb31da0416e63a3a8f9ac84fd1b5dadc65dda027e92ace"
+  },
+  "scope": "Finite conditional composition. Independent owner/construction/all-T checks supplement this replay. Inherited all-size/compiler, physical-realization, precision/tape, analytic and bitH1-H5 assumptions remain.",
+  "pins": {
+    "manifest_sha256": "c81fc68bf896055136eb9d05cac6d6e5ae16f46469bddaeaab32e4d833f800a6",
+    "dependencies_sha256": "0160ea2677cc9ceeb0f861dc2774d470a27cbaa58b8fd6c064cf0683d18f3e87",
+    "predecessor": {
+      "manifest_sha256": "663a4300ec3abe2278ac6c8e49dd13dc58694c33bfadaa278c5406539e113a31",
+      "dependencies_sha256": "7c47d44e8d5c24aa80afc70724e7c0381fec57ef80d085d2ee4611726a0f1254"
+    }
+  },
+  "final_binding_sha256": "5a621f1868630168c46f63f0e4f9e2fd3a2bbad9ebff73a7901ce82bedeabe1b"
+}
diff --git a/research/complex-u10-t37/evidence/strict/STAGES.json b/research/complex-u10-t37/evidence/strict/STAGES.json
new file mode 100644
index 0000000000..db3a4d8442
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/STAGES.json
@@ -0,0 +1,86 @@
+[
+  {
+    "name": "ancestry-coverage",
+    "exit_code": 0,
+    "seconds": 0.121,
+    "log_sha256": "84e7b14bf5045963cf79594707227b0923a0448da6f89cfb55309b8a6d7b8fe2"
+  },
+  {
+    "name": "baseline799-binding",
+    "exit_code": 0,
+    "seconds": 0.119,
+    "log_sha256": "d634fcb721165a1da4804168fd6a221063b71d1621bb21457afd7e2a25f5476f"
+  },
+  {
+    "name": "u8-native",
+    "exit_code": 0,
+    "seconds": 672.293,
+    "log_sha256": "65cfd94661e24dd0e379bae6f4fe2271d80177be9eb89a9ad22655d5bf88e234"
+  },
+  {
+    "name": "u10-native",
+    "exit_code": 0,
+    "seconds": 750.945,
+    "log_sha256": "4a1ee6e167968a3433e00ca4f50a7b7d838b3a5b95b4152ff906f8129f3c66ef"
+  },
+  {
+    "name": "prepare",
+    "exit_code": 0,
+    "seconds": 0.14,
+    "log_sha256": "15f741ad9797fbd582395256e35bfb986f50ab32c0c45e206cbaf841ba360a0b"
+  },
+  {
+    "name": "frozen-construction",
+    "exit_code": 0,
+    "seconds": 7.393,
+    "log_sha256": "ea8a0969bac3fc5f57155e4f1e28f52f089612dcda2697ebef20ca3763b829da"
+  },
+  {
+    "name": "independent-owners",
+    "exit_code": 0,
+    "seconds": 29.649,
+    "log_sha256": "e6cae59b6fe8d259f52627cfb54a85485586bb974d12809e01d66eeee8dd3ce0"
+  },
+  {
+    "name": "build-parent",
+    "exit_code": 0,
+    "seconds": 11.209,
+    "log_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
+  },
+  {
+    "name": "check-parent",
+    "exit_code": 0,
+    "seconds": 55.103,
+    "log_sha256": "efc9bef89fcac5c95165ca04c186c034a774fc6bd2e1db28f481ddb4e40bea96"
+  },
+  {
+    "name": "independent-price",
+    "exit_code": 0,
+    "seconds": 1.518,
+    "log_sha256": "fae40e30f5785c412f42bf3fb5c2a42e6d49d01a450074c7fee35575ac5e8863"
+  },
+  {
+    "name": "discovery",
+    "exit_code": 0,
+    "seconds": 155.986,
+    "log_sha256": "b9de0946f3a0d956a500ef3ef8ca67a4a9d1ffd27b38deef00cdd229e8172e7e"
+  },
+  {
+    "name": "strict",
+    "exit_code": 0,
+    "seconds": 144.698,
+    "log_sha256": "6f5974edc572cb69a6f784cf30dd34c409c180a195b65fddc399049a653d1cbc"
+  },
+  {
+    "name": "payload-controls",
+    "exit_code": 0,
+    "seconds": 0.772,
+    "log_sha256": "d07d284f38925af9ab0bfe9778b5c214a78ffe43d8e961e7a71afa576a3eed32"
+  },
+  {
+    "name": "final-binding",
+    "exit_code": 0,
+    "seconds": 8.648,
+    "log_sha256": "e6e5275aeb615ff4433302fdae2aa041b0a1d31d482e97842aaf7478cba1436e"
+  }
+]
diff --git a/research/complex-u10-t37/evidence/strict/STRICT-STAGES.json b/research/complex-u10-t37/evidence/strict/STRICT-STAGES.json
new file mode 100644
index 0000000000..553e7fbb9e
--- /dev/null
+++ b/research/complex-u10-t37/evidence/strict/STRICT-STAGES.json
@@ -0,0 +1,44 @@
+[
+  {
+    "name": "bind",
+    "exit_code": 0,
+    "seconds": 0.818,
+    "log_sha256": "71f679ce5a123fb58397fd6852ba64ce3832fd20e81a096bfda9a1cf3237237a"
+  },
+  {
+    "name": "emit",
+    "exit_code": 0,
+    "seconds": 30.249,
+    "log_sha256": "b59b63482942a8b76d8cfb6de37a6ea9ad5ea3c855b566ab283e771a35487e71"
+  },
+  {
+    "name": "audit",
+    "exit_code": 0,
+    "seconds": 106.519,
+    "log_sha256": "9da468a58f079524059d1a7904421dd01c5a8c518783edaf73f4cba973719bb3"
+  },
+  {
+    "name": "invoice",
+    "exit_code": 0,
+    "seconds": 3.371,
+    "log_sha256": "281b5b5d72d03b4d2d4fbfd862469073363162985f8557f0394170353b100dbf"
+  },
+  {
+    "name": "assembly",
+    "exit_code": 0,
+    "seconds": 0.72,
+    "log_sha256": "c387bffbc6724519f4a292a3dcdab6ce6041c7a73af9eb630c3c437071dc7ba0"
+  },
+  {
+    "name": "admission-controls",
+    "exit_code": 0,
+    "seconds": 1.459,
+    "log_sha256": "051d242318154827c1672ffbb63ad2bdc8ecc4033be650b791dd69cd57d716b3"
+  },
+  {
+    "name": "bit-controls",
+    "exit_code": 0,
+    "seconds": 1.498,
+    "log_sha256": "d54d260bf95bd8ae4ab8846314082b93b2e3d8f427eb35376691f2ce543a6b67"
+  }
+]
diff --git a/research/complex-u10-t37/evidence/u10/COLD-END-CONTROLS.json b/research/complex-u10-t37/evidence/u10/COLD-END-CONTROLS.json
new file mode 100644
index 0000000000..62275d43b5
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/COLD-END-CONTROLS.json
@@ -0,0 +1,101 @@
+{
+ "status": "PASS_COLD_END_RAW_WORD_CONTROLS",
+ "word": "/tmp/u10n/u10/FULL-WORD.json.gz",
+ "rejected": [
+  "premix placed in the zero-frame precondition (before the cold wrappers)",
+  "one premix gate dropped (the compensation then reads a cold-ended helper)",
+  "one lower-frame cleanup gate dropped (gate and its early_cleanup entry)",
+  "one FULL-remainder gate dropped",
+  "lower-frame gate coefficient changed",
+  "lower-frame gate moved into the FULL remainder (touches a cold-ended helper at FULL)",
+  "lower-frame gate frame below its registers' frames",
+  "cold end at another dim-4 frame",
+  "profile pin: cold end dropped (valid FULL end, but the reported profile counts the low end)",
+  "extra cold end on a premixed partner (the compensation reads it before its wrapper)",
+  "refactored-cleanup marker removed (literal-inverse rule applies)",
+  "remainder gate retargeted to a target register",
+  "non-dyadic remainder coefficient",
+  "profile not updated (paid climbs misreported)",
+  "entering end 543: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 543: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 543: end at another hyperplane",
+  "entering end 555: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 555: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 555: end at another hyperplane",
+  "entering end 566: premix gate dropped",
+  "entering end 566: premix gate at frame [] instead of its entrance E",
+  "entering end 566: premix gate moved into the zero-frame precondition",
+  "entering end 566: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 566: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 566: end at another hyperplane",
+  "entering end 567: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 567: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 567: end at another hyperplane",
+  "entering end 578: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 578: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 578: end at another hyperplane",
+  "entering end 579: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 579: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 579: end at another hyperplane",
+  "entering end 608: premix gate dropped",
+  "entering end 608: premix gate at frame [] instead of its entrance E",
+  "entering end 608: premix gate moved into the zero-frame precondition",
+  "entering end 608: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 608: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 608: end at another hyperplane",
+  "entering end 610: premix gate dropped",
+  "entering end 610: premix gate at frame [] instead of its entrance E",
+  "entering end 610: premix gate moved into the zero-frame precondition",
+  "entering end 610: lower-frame gate dropped (gate and its early_cleanup entry)",
+  "entering end 610: profile pin: end dropped (valid FULL end, but the reported profile counts the low end)",
+  "entering end 610: end at another hyperplane",
+  "dim-8 cold end 311 (frame [256, 128, 72, 40, 24, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 311 (frame [256, 128, 72, 40, 24, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 311 (frame [256, 128, 72, 40, 24, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 327 (frame [256, 128, 66, 34, 18, 10, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 327 (frame [256, 128, 66, 34, 18, 10, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 327 (frame [256, 128, 66, 34, 18, 10, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 510 (frame [256, 128, 72, 40, 24, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 510 (frame [256, 128, 72, 40, 24, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 510 (frame [256, 128, 72, 40, 24, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 512 (frame [256, 128, 66, 34, 16, 8, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 512 (frame [256, 128, 66, 34, 16, 8, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 512 (frame [256, 128, 66, 34, 16, 8, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 513 (frame [256, 128, 66, 34, 16, 8, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 513 (frame [256, 128, 66, 34, 16, 8, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 513 (frame [256, 128, 66, 34, 16, 8, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 522 (frame [256, 128, 66, 34, 18, 10, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 522 (frame [256, 128, 66, 34, 18, 10, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 522 (frame [256, 128, 66, 34, 18, 10, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 524 (frame [256, 128, 96, 16, 8, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 524 (frame [256, 128, 96, 16, 8, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 524 (frame [256, 128, 96, 16, 8, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 525 (frame [256, 128, 96, 16, 8, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 525 (frame [256, 128, 96, 16, 8, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 525 (frame [256, 128, 96, 16, 8, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 586 (frame [256, 128, 66, 34, 16, 8, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 586 (frame [256, 128, 66, 34, 16, 8, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 586 (frame [256, 128, 66, 34, 16, 8, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 587 (frame [256, 128, 66, 34, 16, 8, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 587 (frame [256, 128, 66, 34, 16, 8, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 587 (frame [256, 128, 66, 34, 16, 8, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 588 (frame [256, 128, 96, 16, 8, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 588 (frame [256, 128, 96, 16, 8, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 588 (frame [256, 128, 96, 16, 8, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 589 (frame [256, 128, 96, 16, 8, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 589 (frame [256, 128, 96, 16, 8, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 589 (frame [256, 128, 96, 16, 8, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 598 (frame [256, 128, 66, 34, 18, 10, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 598 (frame [256, 128, 66, 34, 18, 10, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 598 (frame [256, 128, 66, 34, 18, 10, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 599 (frame [256, 128, 66, 34, 18, 10, 6, 1]) at another dim-8 frame",
+  "dim-8 cold end 599 (frame [256, 128, 66, 34, 18, 10, 6, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 599 (frame [256, 128, 66, 34, 18, 10, 6, 1]): profile pin (end dropped)",
+  "dim-8 cold end 600 (frame [256, 128, 72, 40, 24, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 600 (frame [256, 128, 72, 40, 24, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 600 (frame [256, 128, 72, 40, 24, 4, 2, 1]): profile pin (end dropped)",
+  "dim-8 cold end 601 (frame [256, 128, 72, 40, 24, 4, 2, 1]) at another dim-8 frame",
+  "dim-8 cold end 601 (frame [256, 128, 72, 40, 24, 4, 2, 1]): one lower-frame gate dropped (gate and its early_cleanup entry)",
+  "dim-8 cold end 601 (frame [256, 128, 72, 40, 24, 4, 2, 1]): profile pin (end dropped)"
+ ]
+}
diff --git a/research/complex-u10-t37/evidence/u10/LOCAL-AUDIT-U10.json b/research/complex-u10-t37/evidence/u10/LOCAL-AUDIT-U10.json
new file mode 100644
index 0000000000..dafb44a291
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/LOCAL-AUDIT-U10.json
@@ -0,0 +1,137 @@
+{
+  "status": "PASS_INDEPENDENT_EXACT_FORWARD_AND_DUAL_ENDPOINT_FRAMES_ENTRANCES_CONES",
+  "input_file": "FULL-WORD.json.gz",
+  "content_sha256": "776de990f3e1e9eebb075a3d280d1aa029cb5a171d30945128a713f78dd126d1",
+  "compressed_sha256": "c67bdd11cc4a03f798a2a384004bfe53d56be56c8857096ad4dfb9c6d28af8e1",
+  "parent_center_interface": {
+    "parent_path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/split-centres/CANONICAL-WORD.json.gz",
+    "parent_file_sha256": "66d3c3c70983224650643a0a05a21ac6c6959f84d0f4528650601016f5a76844",
+    "transport_tau": 43,
+    "ordered_frame_bases_match": true,
+    "all_ports_match": true,
+    "transported_centers": [
+      92,
+      57,
+      81,
+      224,
+      11,
+      240,
+      9,
+      256
+    ],
+    "source_centers": [
+      92,
+      57,
+      81,
+      11,
+      9
+    ],
+    "ordered_frame_bases": [
+      [
+        256,
+        128,
+        64,
+        34,
+        16,
+        10,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        16,
+        8,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        64,
+        32,
+        17,
+        9,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        64,
+        36,
+        20,
+        8,
+        2,
+        1
+      ],
+      [
+        256,
+        128,
+        66,
+        32,
+        18,
+        8,
+        4,
+        1
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        17,
+        9,
+        5,
+        3
+      ],
+      [
+        256,
+        128,
+        65,
+        33,
+        16,
+        8,
+        4,
+        2
+      ],
+      [
+        256,
+        128,
+        68,
+        32,
+        16,
+        12,
+        2,
+        1
+      ]
+    ]
+  },
+  "v": 112,
+  "h": 9,
+  "R": 504,
+  "entering": 216,
+  "lowends": 126,
+  "coldends": 72,
+  "compensation_gates": 6320,
+  "local_profile": {
+    "1": 2548,
+    "2": 338,
+    "3": 450,
+    "4": 154,
+    "5": 76,
+    "8": 8
+  },
+  "width_inventory": {
+    "4": 80,
+    "5": 32,
+    "7": 54,
+    "8": 122,
+    "9": 216
+  },
+  "checked_columns": 728,
+  "elapsed_seconds": 1.6693634069997643,
+  "scope": "Exact rational full scalar map in both orientations; all literal native frame chains, center levels, dyadic units, entrance-zero response, wrapper exclusion and final helper row/column cones. No global owner admission or exponent repricing."
+}
diff --git a/research/complex-u10-t37/evidence/u10/LOCAL-CHECKS.json b/research/complex-u10-t37/evidence/u10/LOCAL-CHECKS.json
new file mode 100644
index 0000000000..2a15fefeea
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/LOCAL-CHECKS.json
@@ -0,0 +1,36 @@
+{
+  "forward": {
+    "sha256": "797b3b3b3fc441d53291a790bcb1451e1051dacad1ae39922ff1d06baa5c71a2",
+    "events": 24419,
+    "scalar_macros": 19217,
+    "real_component_primitive_bound": 193338,
+    "paid_profile": {
+      "1": 2548,
+      "2": 338,
+      "3": 450,
+      "4": 154,
+      "5": 76,
+      "8": 8
+    },
+    "all_columns": 728,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  },
+  "backward": {
+    "sha256": "092b525677e0bce217e986546168098a949daab41bc81a0eb2f138bf1be936f8",
+    "events": 24419,
+    "scalar_macros": 19217,
+    "real_component_primitive_bound": 193386,
+    "paid_profile": {
+      "1": 2548,
+      "2": 338,
+      "3": 450,
+      "4": 154,
+      "5": 76,
+      "8": 8
+    },
+    "all_columns": 728,
+    "private_centers_cleared": true,
+    "private_coefficient_stream_cleared_after_each_macro": true
+  }
+}
diff --git a/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part0.txt b/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part0.txt
new file mode 100644
index 0000000000..d4104abac6
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part0.txt
@@ -0,0 +1,27 @@
+slot ci 627 E 448 X 235 reads 4 evals 63 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 18s
+slot ci 630 E 451 X 226 reads 2 evals 35 best None  11s
+slot ci 632 E 453 X 228 reads 2 evals 35 best None  8s
+slot ci 635 E 456 X 236 reads 2 evals 3 best None  1s
+slot ci 638 E 459 X 239 reads 4 evals 527 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 112s
+slot ci 643 E 460 X 251 reads 4 evals 63 best 2.79086 {1: 2552, 2: 336, 3: 446, 4: 162, 5: 72, 8: 8} 14s
+slot ci 654 E 471 X 255 reads 4 evals 383 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 75s
+slot ci 659 E 472 X 267 reads 4 evals 63 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 13s
+slot ci 670 E 483 X 271 reads 4 evals 255 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 46s
+slot ci 678 E 485 X 226 reads 2 evals 35 best None  6s
+slot ci 697 E 497 X 451 reads 2 evals 35 best None  6s
+slot ci 717 E 509 X 228 reads 2 evals 35 best None  6s
+slot ci 737 E 521 X 453 reads 2 evals 35 best None  6s
+slot ci 767 E 543 X 351 reads 2 evals 3 best None  1s
+slot ci 785 E 555 X 367 reads 2 evals 7 best None  1s
+slot ci 803 E 567 X 383 reads 2 evals 3 best None  0s
+slot ci 821 E 579 X 399 reads 2 evals 7 best None  1s
+slot ci 826 E 580 X 411 reads 4 evals 63 best 2.79086 {1: 2552, 2: 336, 3: 446, 4: 162, 5: 72, 8: 8} 12s
+slot ci 837 E 591 X 415 reads 4 evals 383 best 2.79086 {1: 2552, 2: 336, 3: 446, 4: 162, 5: 72, 8: 8} 69s
+slot ci 842 E 592 X 427 reads 4 evals 95 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 19s
+slot ci 853 E 603 X 431 reads 4 evals 319 best 2.79086 {1: 2552, 2: 336, 3: 446, 4: 162, 5: 72, 8: 8} 60s
+slot ci 858 E 604 X 443 reads 4 evals 47 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 10s
+slot ci 861 E 607 X 434 reads 4 evals 47 best 0.00000 {1: 2548, 2: 338, 3: 446, 4: 162, 5: 72, 8: 8} 10s
+slot ci 863 E 609 X 436 reads 4 evals 47 best 0.00000 {1: 2548, 2: 338, 3: 446, 4: 162, 5: 72, 8: 8} 10s
+IMPROVE ci 866 E 612 X 444 -0.50696 {903: 612, 939: 444, 1226: 612, 1274: 444} [(903, 98, 1227), (939, 34, 1275)] {1: 2548, 2: 338, 3: 448, 4: 158, 5: 74, 8: 8} 
+slot ci 866 E 612 X 444 reads 4 evals 159 best -0.50696 {1: 2548, 2: 338, 3: 448, 4: 158, 5: 74, 8: 8} 37s
+slot ci 869 E 615 X 447 reads 4 evals 287 best 1.39543 {1: 2550, 2: 337, 3: 446, 4: 162, 5: 72, 8: 8} 55s
diff --git a/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part1.txt b/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part1.txt
new file mode 100644
index 0000000000..8f3a1267ae
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/SEARCH-ROUND1-part1.txt
@@ -0,0 +1,23 @@
+slot ci 623 E 235 X 233 reads 2 evals 7 best None  1s
+slot ci 629 E 450 X 231 reads 2 evals 3 best None  1s
+slot ci 631 E 452 X 230 reads 2 evals 3 best None  1s
+slot ci 633 E 454 X 232 reads 2 evals 3 best None  1s
+slot ci 636 E 457 X 238 reads 2 evals 35 best None  9s
+slot ci 639 E 251 X 249 reads 2 evals 7 best None  2s
+slot ci 655 E 267 X 265 reads 2 evals 7 best None  2s
+slot ci 676 E 484 X 231 reads 2 evals 3 best None  1s
+slot ci 690 E 299 X 297 reads 1 evals 3 best None  1s
+slot ci 695 E 496 X 450 reads 2 evals 3 best None  1s
+slot ci 715 E 508 X 230 reads 2 evals 3 best None  1s
+slot ci 730 E 331 X 329 reads 1 evals 3 best None  1s
+slot ci 735 E 520 X 452 reads 2 evals 3 best None  1s
+slot ci 768 E 363 X 361 reads 1 evals 1 best None  0s
+slot ci 804 E 395 X 393 reads 1 evals 1 best None  0s
+slot ci 822 E 411 X 409 reads 2 evals 3 best None  1s
+slot ci 838 E 427 X 425 reads 2 evals 7 best None  2s
+slot ci 854 E 443 X 441 reads 2 evals 3 best None  1s
+slot ci 860 E 606 X 439 reads 4 evals 47 best 0.00000 {1: 2548, 2: 338, 3: 446, 4: 162, 5: 72, 8: 8} 11s
+slot ci 862 E 608 X 438 reads 4 evals 47 best None  12s
+slot ci 864 E 610 X 440 reads 4 evals 159 best None  32s
+IMPROVE ci 867 E 613 X 446 -0.50696 {905: 613, 941: 446, 1228: 613, 1276: 446} [(905, 399, 1229), (941, 303, 1277)] {1: 2548, 2: 338, 3: 448, 4: 158, 5: 74, 8: 8} 
+slot ci 867 E 613 X 446 reads 4 evals 159 best -0.50696 {1: 2548, 2: 338, 3: 448, 4: 158, 5: 74, 8: 8} 43s
diff --git a/research/complex-u10-t37/evidence/u10/STEPS.json b/research/complex-u10-t37/evidence/u10/STEPS.json
new file mode 100644
index 0000000000..76d6b4cbfe
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/STEPS.json
@@ -0,0 +1,42 @@
+[
+  {
+    "step": "u10",
+    "exit_code": 0,
+    "seconds": 0.324
+  },
+  {
+    "step": "u10-controls",
+    "exit_code": 0,
+    "seconds": 20.405
+  },
+  {
+    "step": "layer-end-controls",
+    "exit_code": 0,
+    "seconds": 306.044
+  },
+  {
+    "step": "native",
+    "exit_code": 0,
+    "seconds": 3.896
+  },
+  {
+    "step": "ledgers",
+    "exit_code": 0,
+    "seconds": 2.624
+  },
+  {
+    "step": "local-replay",
+    "exit_code": 0,
+    "seconds": 24.143
+  },
+  {
+    "step": "wrappers",
+    "exit_code": 0,
+    "seconds": 8.62
+  },
+  {
+    "step": "phases",
+    "exit_code": 0,
+    "seconds": 392.378
+  }
+]
diff --git a/research/complex-u10-t37/evidence/u10/U10-CONTROLS.json b/research/complex-u10-t37/evidence/u10/U10-CONTROLS.json
new file mode 100644
index 0000000000..eddfcc63bf
--- /dev/null
+++ b/research/complex-u10-t37/evidence/u10/U10-CONTROLS.json
@@ -0,0 +1,110 @@
+{
+ "C0_identity": {
+  "ok": true,
+  "out": "{\"control\": null, \"sha256\": \"090fd574747fbf9628e70cb9beb792732914cfa52e1df147579fe4dbccc68c5a\"}"
+ },
+ "recipe": {
+  "ok": true,
+  "build": {
+   "control": null,
+   "sha256": "776de990f3e1e9eebb075a3d280d1aa029cb5a171d30945128a713f78dd126d1"
+  },
+  "audit_tail": "}"
+ },
+ "drop_restore": {
+  "ok": true,
+  "build": {
+   "control": "drop_restore",
+   "sha256": "92add2761826405e5ab4b4832279d077b0710ce3c92a7de754a04b7c1b516094"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [33, 34, 36, 39, 288, 290, 292, 295])"
+ },
+ "restore_full": {
+  "ok": true,
+  "build": {
+   "control": "restore_full",
+   "sha256": "97ec2d984cc8a9afb29f88650ae42d6fcf41c9e7921ab79ebd62cb616bde51a8"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [97, 98, 100, 103, 384, 386, 388, 391])"
+ },
+ "drop_preread": {
+  "ok": true,
+  "build": {
+   "control": "drop_preread",
+   "sha256": "ff12772fc263643518862001a29b5225dbcf84e99ee4bdfa7bb0b6e029ede306"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ },
+ "donation_after": {
+  "ok": true,
+  "build": {
+   "control": "donation_after",
+   "sha256": "94fa47a2306684e49e0959eedcd71994884f4dc5b13c81c13196509636a8599c"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ },
+ "drop_restore@444": {
+  "ok": true,
+  "build": {
+   "control": "drop_restore@444",
+   "sha256": "a931b9b24c349afc2544637a5d6d3eab5821bd6a6ff34703d3ddae7f229e954d"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [33, 34, 288, 290, 292, 506])"
+ },
+ "restore_full@444": {
+  "ok": true,
+  "build": {
+   "control": "restore_full@444",
+   "sha256": "a553cfa3c1c2f462ec5283572e321446e740aaaa13a61c0ab2fd9bf00c16bc7f"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [97, 98, 384, 386, 388, 506, 578])"
+ },
+ "drop_preread@444": {
+  "ok": true,
+  "build": {
+   "control": "drop_preread@444",
+   "sha256": "3600560ab07ffa1029c5638b79993d7d29b1c3b93e9f6a61bb81fa6a7ec08341"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ },
+ "donation_after@444": {
+  "ok": true,
+  "build": {
+   "control": "donation_after@444",
+   "sha256": "363652e4f85b52868eda5c785b480b30a8df1cf24c34a51ad23e728d0d650368"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ },
+ "drop_restore@446": {
+  "ok": true,
+  "build": {
+   "control": "drop_restore@446",
+   "sha256": "ef60133e0395d67b742584ebbfaa44fb6efaba2fd097480467fd7c36a5b05d8f"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [36, 39, 295, 296, 302, 303, 507])"
+ },
+ "restore_full@446": {
+  "ok": true,
+  "build": {
+   "control": "restore_full@446",
+   "sha256": "3c7dc8fdc48396124a5681b463450d4acc9e7df9e4447155261ae4bb0007e0bd"
+  },
+  "audit_tail": "RuntimeError: all-column endpoint failure (False, [100, 103, 391, 392, 398, 399, 507, 579])"
+ },
+ "drop_preread@446": {
+  "ok": true,
+  "build": {
+   "control": "drop_preread@446",
+   "sha256": "28571be504e15057aec3e5ac754331b8c99877928c33cd07c5d49715026baa6b"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ },
+ "donation_after@446": {
+  "ok": true,
+  "build": {
+   "control": "donation_after@446",
+   "sha256": "df05e55cd0e6afcef20f6c0fd937163d8aa6d622d6f5f2363cb5ac38edd51c2d"
+  },
+  "audit_tail": "RuntimeError: nonzero entrance response"
+ }
+}
\ No newline at end of file
diff --git a/research/complex-u10-t37/final_binding.py b/research/complex-u10-t37/final_binding.py
new file mode 100644
index 0000000000..72a3cf16b1
--- /dev/null
+++ b/research/complex-u10-t37/final_binding.py
@@ -0,0 +1,237 @@
+"""Bind the fresh T37 receipts to one complete checked construction.
+
+Finite receipt consistency is not authentication or an all-size theorem.
+Adapted from PR890's explicit binding inventory; Apache-2.0.
+"""
+import argparse,gzip,hashlib,json,sys
+from fractions import Fraction as Q
+from pathlib import Path
+from common import ROOT,P,T21,read,load
+
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def identity(v):return hashlib.sha256(json.dumps(v,sort_keys=True,separators=(',',':')).encode()).hexdigest()
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled; do not use Python -O')
+
+def content_sha(p):
+    data=p.read_bytes()
+    return hashlib.sha256(gzip.decompress(data) if p.suffix=='.gz' else data).hexdigest()
+
+def check_adaptations(work):
+    """Read-only regeneration from fixed source/edit code, never receipt edits."""
+    expected=load(P/'prepare.py','t37_expected_adapters').expected_adaptations()
+    records=read(work/'ADAPTATIONS.json')
+    assert set(records)==set(expected),'Complete authorized adapter inventory'
+    assert {p.name for p in (work/'adapted').glob('*.py')}=={n for n in expected if not n.startswith('runtime/')}
+    assert {p.name for p in (work/'runtime/code').glob('*.py')}=={n.split('/',1)[1] for n in expected if n.startswith('runtime/')}
+    for name,wanted in expected.items():
+        generated=(work/'runtime/code'/name.split('/',1)[1]) if name.startswith('runtime/') else work/'adapted'/name
+        data=wanted['text'].encode('utf-8')
+        assert generated.read_bytes()==data,('Exact authorized adapter bytes',name)
+        record=dict(source_sha256=sha(wanted['source']),generated_sha256=hashlib.sha256(data).hexdigest())
+        if 'edits' in wanted:record['edits']=wanted['edits']
+        assert records[name]==record,('Exact authorized adapter record',name)
+    source=T21/'vendor/pr870/inputs';generated=work/'runtime/inputs'
+    source_files={p.relative_to(source).as_posix():sha(p) for p in source.rglob('*') if p.is_file()}
+    actual_files={p.relative_to(generated).as_posix():sha(p) for p in generated.rglob('*') if p.is_file()}
+    assert actual_files==source_files,'Immutable runtime input copies'
+    return {name:records[name]['generated_sha256'] for name in sorted(records)}
+
+def check_construction(work):
+    receipt=read(work/'CONSTRUCTION-CHECK.json')
+    assert receipt['status']=='PASS_INDEPENDENT_FROZEN_T37_RECONSTRUCTION_NO_SEARCH'
+    for key,value in dict(roles=167832,calls=333,edits=8,inherited_t16_edits=11,inherited_t21_edits=9,
+                          source_plan_pin_verified=True,source_owner_pin_verified=True).items():
+        assert receipt[key]==value,('Construction coverage',key)
+    assert receipt['owner_content_sha256']==identity(read(P/'OWNERS.json.gz'))
+    assert receipt['order_content_sha256']==identity(read(P/'ORDER.json'))
+    paths=[ROOT/'research/gauge44-frames-x/data/PLAN.json',ROOT/'research/gauge44-frames-x/data/OWNERS.json.gz',
+           T21/'vendor/pr870/t16/build_owners.py',T21/'data/T5-OWNERS.json.gz',T21/'data/EDITS.json',
+           P/'EDITS.json',P/'OWNERS.json.gz',P/'ORDER.json']
+    assert receipt['inputs']=={str(p.resolve()):sha(p) for p in paths},'Construction input bytes'
+
+def check_independent_inputs(work,baseline):
+    receipt=read(work/'INDEPENDENT-OWNERS.json');native=work/'native10/local';base=baseline/'global/global/base'
+    assert receipt['status']=='PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW'
+    assert receipt['baseline_mode']=='provided_replay_base'
+    paths=[native/'CANONICAL-WORD.json.gz',native/'INDEPENDENT-LOCAL-REPLAY.json',P/'OWNERS.json.gz',P/'EDITS.json',T21/'independent_check.py',
+           base/'split-centres/GLOBAL-TEMPLATE.json.gz',base/'split-centres/CANONICAL-WORD.json.gz',base/'work/complex-nine-native/DATA-PHASES.json']
+    assert receipt['input_sha256']=={str(p.resolve()):sha(p) for p in paths},'Independent owner input bytes'
+    changes=[['2 * 512','2 * 1024',1],['prefix < 512','prefix < 1024',1],
+             ['charged_prefix_bits=512','charged_prefix_bits=1024',1],['1 <= T <= 22','1 <= T <= 50',1]]
+    source=T21/'independent_check.py';text=source.read_text()
+    for before,after,count in changes:
+        assert text.count(before)==count
+        text=text.replace(before,after)
+    adapter=work/'independent_check_1024.py'
+    assert adapter.read_text()==text,'Independent checker exact source adaptation'
+    assert receipt['checker_adaptation']==dict(source_sha256=sha(source),adapted_sha256=sha(adapter),changes=changes)
+
+def check_payload_artifacts(work):
+    """Bind actual controller, charts, idle axes and provider bytes to receipts."""
+    g=work/'strict/global';hosted=g/'hosted';base=g/'base'
+    summary=read(hosted/'HOSTED.json');owner=read(g/'audit/OWNERS-AND-PROFILE.json')
+    controller=read(g/'audit/ASYNC-AUDIT.json');invoice=read(g/'audit/PREFIX-AND-INVOICE.json')
+    template=read(hosted/'GLOBAL-TEMPLATE.json.gz');template_hash=content_sha(hosted/'GLOBAL-TEMPLATE.json.gz')
+    assert template_hash==summary['template_sha256']==owner['template_sha256']==controller['complex_template_sha256']==invoice['template_sha256'],'Actual emitted template bytes'
+    assert template['hosting']['owner_map_sha256']==sha(P/'OWNERS.json.gz')
+    assert template['hosting']['pooled_slots']==read(P/'OWNERS.json.gz'),'Actual serialized frozen roles'
+    assert template['async_schedule']['order']==read(P/'ORDER.json')
+    assert summary['asynchronous_order_sha256']==identity(read(P/'ORDER.json'))
+    expected_sources={'work/complex-nine-native/DATA-PHASES.json'}|{'providers/gauge44/'+name for name in
+       ('CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','INDEPENDENT-LOCAL-REPLAY.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json')}
+    assert set(summary['source_artifacts'])==expected_sources,'Complete source-artifact inventory'
+    assert owner['source_artifacts']==summary['source_artifacts']
+    for relative,expected in summary['source_artifacts'].items():
+        path=(base/relative).resolve()
+        assert not Path(relative).is_absolute() and path.is_relative_to(base.resolve()),'Source-artifact path'
+        assert sha(path)==expected,('Actual provider/phase bytes',relative)
+    binding=read(g/'BINDING.json');plan=read(g/'PLAN.json')
+    assert binding['status']=='PASS_FROZEN_048_ALLCOLD_DISPATCH_FRESH_PROVIDER_BINDING'
+    assert binding['source_plan_sha256']==plan['runtime_source_plan_sha256']==sha(work/'lift/PLAN.json')
+    assert binding['runtime_plan_sha256']==sha(g/'PLAN.json')
+    assert template['async_schedule']['source_plan_sha256']==hashlib.sha256((g/'PLAN.json').read_bytes().replace(b'\r\n',b'\n')).hexdigest()
+    assert set(binding['providers'])=={'gauge44'}
+    provider_names={Path(p).name for p in expected_sources if p.startswith('providers/')}
+    assert set(binding['providers']['gauge44']['artifact_sha256'])==provider_names
+    for name,expected in binding['providers']['gauge44']['artifact_sha256'].items():
+        assert sha(base/'providers/gauge44'/name)==expected,('Bound provider artifact',name)
+    # The chart digest is a role stream, not a hash of the dictionary file.
+    canonical=read(base/'providers/gauge44/CANONICAL-WORD.json.gz');phases=read(base/'work/complex-nine-native/DATA-PHASES.json')
+    bases=[]
+    for port in canonical['ports']:
+        zero=next(i for i in range(9) if not(port>>i&1));correction=port^(1<<zero)
+        axes=list(range(9));axes[0],axes[zero]=axes[zero],axes[0]
+        bases.append([(1<<i)^(correction if correction>>i&1 else 0) for i in axes]+[1<<i for i in range(9,73)])
+    sigmas={};cache={};stream=hashlib.sha256()
+    for call in template['calls']:
+        for helper,(family,route) in enumerate(call['owners'][224:]):
+            port=family%112;child,offset=route[1:3];width=9 if route[0]==3 else route[3]
+            key=(port,child,offset,width)
+            if key not in cache:
+                B=bases[port];pending=list(map(int,phases['recipes'][port]['idle_children'][child]['orthogonal_axes']))
+                occupied=[B.index(v) for v in pending[offset:offset+width]]
+                spectators=[j for j in range(73) if j not in occupied][:9-width]
+                expected_route=[3,child,offset] if width==9 else [4,child,offset,width,spectators]
+                order=occupied+spectators+[j for j in range(73) if j not in occupied and j not in spectators]
+                sigma=[B[j] for j in order];sh=hashlib.sha256(json.dumps(sigma,separators=(',',':')).encode()).hexdigest()
+                cache[key]=(sh,expected_route);sigmas[sh]=sigma
+            sh,expected_route=cache[key];assert route==expected_route,'Actual sigma spectator route'
+            stream.update(json.dumps([call['stage'],call['replica'],helper,family,sh],separators=(',',':')).encode()+b'\n')
+    assert sigmas==read(hosted/'ACTUAL-SIGMAS.json.gz'),'Actual sigma dictionary content'
+    assert len(sigmas)==9628
+    assert stream.hexdigest()==summary['sigma_stream_sha256']==controller['actual_sigma_stream_sha256'],'Actual role sigma stream'
+    idle=read(hosted/'IDLE-REMAINDER-FRAMES.json.gz');idle_receipt=read(g/'audit/IDLE-REMAINDER-FRAMES.json')
+    assert content_sha(hosted/'IDLE-REMAINDER-FRAMES.json.gz')==idle_receipt['uncompressed_frames_sha256']
+    expected_idle=[]
+    for row in template['idle_children']:
+        axes=list(map(int,phases['recipes'][row['port']]['idle_children'][row['child']]['orthogonal_axes']))[row['pending_offset']:]
+        assert len(axes)==row['rank']
+        expected_idle.append(dict(row,orthogonal_axes=axes))
+    assert idle==expected_idle and idle_receipt['children']==len(idle)
+    assert idle_receipt['template_sha256']==template_hash
+    assert idle_receipt['source_data_phase_sha256']==sha(base/'work/complex-nine-native/DATA-PHASES.json')
+    return dict(template=template_hash,sigma_stream=stream.hexdigest(),sigmas=len(sigmas),source_artifacts=summary['source_artifacts'])
+
+def check_ancestry(work,baseline):
+    coverage=load(T21/'vendor/pr858/baseline_coverage.py','t37_bound_ancestry_coverage')
+    assert read(work/'ANCESTRY-COVERAGE.json')==coverage.check(baseline/'ancestor'),'Current ancestor coverage'
+    binding=load(ROOT/'scripts/verify_frontier799_bindings.py','t37_bound_frontier799')
+    expected=binding.check(baseline/'ancestor',baseline/'native',baseline/'global',baseline/'INDEPENDENT-LOCAL.json',baseline/'INDEPENDENT-PRICE.json')
+    assert read(work/'BASELINE-BINDING.json')==expected,'Current complete ancestor binding'
+    assert Q(expected['kappa'])==Q('0.001661634653669567')
+
+def check(work,baseline):
+    pins=load(P/'package.py','t37_package_pins').validate()
+    adapters=check_adaptations(work)
+    check_construction(work)
+    check_independent_inputs(work,baseline)
+    payload=check_payload_artifacts(work)
+    check_ancestry(work,baseline)
+    g=work/'strict/global';native=work/'native10/local'
+    assembly=read(work/'strict/ASSEMBLY.json');invoice=read(g/'audit/PREFIX-AND-INVOICE.json')
+    owner=read(g/'audit/OWNERS-AND-PROFILE.json');controller=read(g/'audit/ASYNC-AUDIT.json')
+    independent=read(work/'INDEPENDENT-OWNERS.json');plan=read(work/'lift/PLAN.json')
+    spec=read(work/'runtime/data/SPEC.json');price=read(work/'ALL-T-BOUND.json')
+    assert assembly['status']=='PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY'
+    assert Q(assembly['kappa'])==Q('0.001662039077758742')==Q(price['all_T_grid_upper'])==Q(price['relaxed_outer_lower']['kappa'])
+    assert Q(assembly['complex_lower'])==Q(price['root']['lower'])==Q('0.00166480605047151514435')
+    assert Q(assembly['kappa'])>Q('0.001661960547713947'),'Strict gain over the selected PR942 record'
+    assert Q(assembly['bit_lower'])==Q('0.001733427039589844234749')
+    assert assembly['complex_profile']==independent['profile']==owner['paid_profile']==controller['complex_profile']==plan['profile']==spec['expected']['global_profile']
+    for key,n in dict(live=33152,physical=33666,rank_mass=2408256,deficit=11840).items():
+        assert owner[key]==independent[key]==n,(key,n)
+    assert independent['roles']==owner['hosted_residuals']==controller['complex_hosted_residuals']==167832
+    assert independent['calls']==controller['complete_invocations']==invoice['complete_invocation_sweeps']==333
+    assert independent['actual_73_axis_charts']==owner['actual_73column_sigmas']==controller['actual_orthogonal_73column_maps']==9628
+    assert independent['idle']=={'1':6,'48':11086}
+    assert independent['prefix_bits']==invoice['global_prefix_bits']==779<invoice['charged_prefix_bits']==1024
+    assert independent['physical_row_coefficient']==invoice['finite']['physical_row_coefficient']==17495<20161
+    assert len(independent['controls_rejected'])==6 and len(independent['omitted_edits_rejected'])==8
+    parent=read(work/'PARENT-CHECK.json')
+    assert parent['status']=='PASS_INDEPENDENT_T37_PARTIAL_BANK_ENVELOPE' and len(parent['controls_rejected'])==8
+    assert parent['parent_content_sha256']==identity(read(work/'lift/GLOBAL-TEMPLATE.json.gz'))==invoice['parent_template_sha256']
+    assert parent['source_content_sha256']==identity(read(baseline/'global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz'))
+    assert plan['assignment_sha256']==plan['replica_lift']['owners_file_sha256']==sha(P/'OWNERS.json.gz')
+    assert plan['assignment_content_sha256']==identity(read(P/'OWNERS.json.gz'))
+    assert spec['data']['owners_sha256']==sha(P/'OWNERS.json.gz') and spec['data']['plan_sha256']==sha(work/'lift/PLAN.json')
+    assert assembly['template_sha256']==owner['template_sha256']==invoice['template_sha256']==controller['complex_template_sha256']
+    assert invoice['owner_audit_sha256']==sha(g/'audit/OWNERS-AND-PROFILE.json')
+    assert invoice['controller_audit_sha256']==sha(g/'audit/ASYNC-AUDIT.json')
+    assert len(invoice['strict_checks'])==9 and all(invoice['strict_checks'].values())
+    assert len(assembly['outer'])==47 and all(Q(v)>0 for v in assembly['outer'].values())
+    ac=read(work/'strict/ADMISSION-CONTROLS.json');bc=read(work/'strict/BIT-CONTROLS.json')
+    assert len(ac['rejected_controls'])==69 and not ac['discovery_accepted_controls']
+    assert len(bc['rejected_controls'])==12 and bc['derived_deficit']==10272
+    assert controller['mutation_controls_run'] and len(controller['mutations_rejected'])==15
+    payload_controls=read(work/'PAYLOAD-CONTROLS.json')
+    assert payload_controls['status']=='PASS_T37_PAYLOAD_BOUNDARIES_AND_STRICT_ADMISSION_MUTATIONS'
+    assert len(payload_controls['rejected_controls'])==11
+    assert payload_controls['geometry_path']==str((work/'INDEPENDENT-OWNERS.json').resolve())
+    assert payload_controls['geometry_sha256']==sha(work/'INDEPENDENT-OWNERS.json')
+    payload_inputs=[work/'INDEPENDENT-OWNERS.json',g/'audit/OWNERS-AND-PROFILE.json',g/'audit/PREFIX-AND-INVOICE.json',work/'runtime/code/assemble.py',work/'runtime/data/SPEC.json']
+    assert payload_controls['inputs']=={str(p.resolve()):sha(p) for p in payload_inputs}
+    steps=read(work/'native/STEPS.json')
+    assert [s['step']for s in steps]==['barch','barch-controls','layer-end-controls','native','ledgers','local-replay','wrappers','phases']
+    assert all(s['exit_code']==0 for s in steps)
+    assert len(read(work/'native/barch-controls/controls.json'))==38
+    assert len(read(work/'native/controls/COLD-END-CONTROLS.json')['rejected'])==95
+    steps=read(work/'native10/STEPS.json')
+    assert [s['step']for s in steps]==['u10','u10-controls','layer-end-controls','native','ledgers','local-replay','wrappers','phases']
+    assert all(s['exit_code']==0 for s in steps)
+    controls=read(work/'native10/u10-controls/controls.json')
+    assert len(controls)==14 and all(x['ok'] for x in controls.values())
+    assert len(read(work/'native10/controls/COLD-END-CONTROLS.json')['rejected'])==95
+    u10_profile={'1':2548,'2':338,'3':450,'4':154,'5':76,'8':8}
+    assert read(work/'native10/u10/FULL-WORD.json.gz')['report']['local_profile']==u10_profile
+    local_checks=read(work/'native10/local/LOCAL-CHECKS.json')
+    assert all(local_checks[o]['paid_profile']==u10_profile for o in ('forward','backward'))
+    assert read(P/'CLAIM.json')['local_profile']==u10_profile
+    for name in ('CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','INDEPENDENT-LOCAL-REPLAY.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json','RESIDUAL-ADAPTERS.json','WRAPPER-CHECKS.json'):
+        assert read(g/'base/providers/gauge44'/name)==read(native/name),name
+    stages=read(work/'STAGES.json')
+    expected=['ancestry-coverage','baseline799-binding','u8-native','u10-native','prepare','frozen-construction','independent-owners','build-parent','check-parent','independent-price','discovery','strict','payload-controls']
+    names=[s['name']for s in stages]
+    if names and names[-1]=='final-binding':names=names[:-1]
+    assert names in(expected,['baseline799-cold']+expected)
+    assert all(s['exit_code']==0 and sha(work/(s['name']+'.log'))==s['log_sha256']for s in stages)
+    for mode,expected in [('discovery',['bind','emit','audit','invoice','assembly','freeze']),('strict',['bind','emit','audit','invoice','assembly','admission-controls','bit-controls'])]:
+        stages=read(work/mode/'STAGES.json')
+        assert [s['name']for s in stages]==expected and all(s['exit_code']==0 for s in stages)
+        assert all(sha(work/mode/(s['name']+'.log'))==s['log_sha256'] for s in stages),'Substage log bytes'
+    paths=['ANCESTRY-COVERAGE.json','BASELINE-BINDING.json','ADAPTATIONS.json','CONSTRUCTION-CHECK.json','INDEPENDENT-OWNERS.json','PARENT-CHECK.json','ALL-T-BOUND.json','PAYLOAD-CONTROLS.json','lift/PLAN.json','runtime/data/SPEC.json','native/STEPS.json','native10/STEPS.json','native10/u10-controls/controls.json','native10/controls/COLD-END-CONTROLS.json','strict/STAGES.json','strict/ASSEMBLY.json','strict/ADMISSION-CONTROLS.json','strict/BIT-CONTROLS.json','strict/global/audit/OWNERS-AND-PROFILE.json','strict/global/audit/PREFIX-AND-INVOICE.json','strict/global/audit/ASYNC-AUDIT.json']
+    paths+=['lift/GLOBAL-TEMPLATE.json.gz','strict/global/PLAN.json','strict/global/BINDING.json',
+            'strict/global/hosted/HOSTED.json','strict/global/hosted/GLOBAL-TEMPLATE.json.gz',
+            'strict/global/hosted/ACTUAL-SIGMAS.json.gz','strict/global/hosted/IDLE-REMAINDER-FRAMES.json.gz',
+            'strict/global/audit/IDLE-REMAINDER-FRAMES.json','discovery/STAGES.json','independent_check_1024.py']
+    paths+=['strict/global/base/'+relative for relative in payload['source_artifacts']]
+    assert load(P/'package.py','t37_package_pins_final').validate()==pins,'Source package changed during final binding'
+    return dict(status='PASS_COMPLETE_U10_T37_RESULT_BINDINGS',pins=pins,kappa=assembly['kappa'],
+                actual_payload=payload,authorized_adapters=adapters,artifacts={p:sha(work/p)for p in paths})
+
+if __name__=='__main__':
+    ap=argparse.ArgumentParser();ap.add_argument('--work',required=True,type=Path);ap.add_argument('--baseline',required=True,type=Path);a=ap.parse_args()
+    result=check(a.work.resolve(),a.baseline.resolve())
+    (a.work/'FINAL-BINDING.json').write_text(json.dumps(result,indent=2)+'\n')
+    print(result['status'])
diff --git a/research/complex-u10-t37/independent/all_t_bound.py b/research/complex-u10-t37/independent/all_t_bound.py
new file mode 100644
index 0000000000..1276a0e287
--- /dev/null
+++ b/research/complex-u10-t37/independent/all_t_bound.py
@@ -0,0 +1,173 @@
+"""All-replica signed-dual relaxation bound for the fixed U10 whole-owner family (PR942's bound, U10 local profile).
+
+This arithmetic component alone does not establish owner feasibility; the
+package's separate construction and admission checks do. PR890 supplies the fixed inventory and signed
+prices; this script independently enumerates bin patterns and proves an all-T
+moment lower bound at the certified T37 upper endpoint.
+The two retained rational engines are reused for numerical certificates only.
+"""
+import argparse
+from collections import Counter
+from fractions import Fraction as Q
+import hashlib
+import importlib.util
+import itertools
+import json
+from pathlib import Path
+import sys
+
+if sys.flags.optimize:
+    raise RuntimeError('Retained arithmetic assertions must stay enabled; do not use Python -O')
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[2]
+ENGINE = 'research/complex-k492-owner-repair/vendor/multicold/engines/'
+PINS = {
+    ENGINE+'moment.py': '81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482',
+    ENGINE+'base_two_moment.py': 'aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098',
+    ENGINE+'outer.py': 'c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c',
+    'research/complex-t21-owners/vendor/pr870/independent/price_profile_t16.py': '53f8e62dcf27bee032c1bee0245d126a9c8a12ebcf24f6aaff65ea3122fffe29',
+    'research/complex-t21-owner-bound/PROOF.md': '2aa0aa6ec1d87402138564c38749b5ca0f058c16817efdf58a2685d2d90cb417',
+}
+WIDTHS = (4, 5, 7, 8, 9)
+PRICES = (-1, -20, -8, -2, 4)
+CAPACITIES = {8: (672, 2), 16: (448, 4), 32: (448, 8), 48: (448, -13)}
+INVENTORY = {4: 80, 5: 32, 7: 54, 8: 122, 9: 216}
+
+
+def need(ok, message):
+    if not ok:
+        raise ValueError(message)
+
+
+def load(relative, name):
+    spec = importlib.util.spec_from_file_location(name, ROOT/relative)
+    obj = importlib.util.module_from_spec(spec)
+    spec.loader.exec_module(obj)
+    return obj
+
+
+def dual_tables():
+    """Cartesian product enumeration and independently programmed recurrence."""
+    upper, count = {}, 0
+    for cap, (_, bonus) in CAPACITIES.items():
+        for vector in itertools.product(*(range(cap//w+1) for w in WIDTHS)):
+            used = sum(w*n for w, n in zip(WIDTHS, vector))
+            if used > cap:
+                continue
+            count += 1
+            r = cap-used
+            value = bonus+sum(p*n for p, n in zip(PRICES, vector))
+            upper[r] = max(upper.get(r, -10**6), value)
+    alt = {}
+    for cap, (_, bonus) in CAPACITIES.items():
+        scores = [None]*(cap+1)
+        scores[0] = 0
+        for fill in range(cap+1):
+            if scores[fill] is None:
+                continue
+            for width, price in zip(WIDTHS, PRICES):
+                nxt = fill+width
+                if nxt <= cap:
+                    proposal = scores[fill]+price
+                    if scores[nxt] is None or proposal > scores[nxt]:
+                        scores[nxt] = proposal
+        for fill, value in enumerate(scores):
+            if value is not None:
+                alt[cap-fill] = max(alt.get(cap-fill, -10**6), value+bonus)
+    need(upper == alt and count == 1163, 'two independently structured dual enumerations')
+    return upper, count
+
+
+def phi_pair(engine, kind, r, z):
+    if kind == 'mercator':
+        a, b = engine.logarithm(Q(73, r))
+        a, b = engine.exponential(z*a, z*b)
+    else:
+        a, b = engine.log_bounds(Q(73, r))
+        a, b = engine.exp_bounds(z*a)[0], engine.exp_bounds(z*b)[1]
+    return r*a, r*b
+
+
+def ratio_certificate(engine, kind, upper, z):
+    phi = {r: phi_pair(engine, kind, r, z) for r in upper if r}
+    cost = {r: (48*lo-r*phi[48][1], 48*hi-r*phi[48][0])
+            for r, (lo, hi) in phi.items() if r < 48}
+    credit = {r: 48*upper[r]+13*r for r in cost}
+    need(credit[1] == 925, 'rank-one credit')
+    need(all(a > 0 for a, b in cost.values()), 'positive non48 costs')
+    # c(r)-v(r)*c(1)/925 > 0 at every r != 1, so a single
+    # multiplier gives a supporting inequality for every count vector.
+    margins = {}
+    for r, (lo, hi) in cost.items():
+        if r == 1:
+            continue
+        c = credit[r]
+        rhs = c*cost[1][1 if c >= 0 else 0]/925
+        margins[r] = lo-rhs
+        need(margins[r] > 0, 'rank-one strictly optimal cost/credit ratio: '+str(r))
+    return dict(credit=credit, multiplier_interval=[str(cost[1][0]/925), str(cost[1][1]/925)],
+                strict_margin_by_rank={r: str(x) for r, x in margins.items()},
+                minimum_strict_margin=str(min(margins.values())))
+
+
+def main(out):
+    need(not sys.flags.optimize, 'retained arithmetic assertions must stay enabled')
+    for relative, expected in PINS.items():
+        need(hashlib.sha256((ROOT/relative).read_bytes()).hexdigest() == expected, 'source drift: '+relative)
+    M = load(ENGINE+'moment.py', 'retained_mercator')
+    B = load(ENGINE+'base_two_moment.py', 'retained_atanh')
+    A = load(ENGINE+'outer.py', 'retained_outer')
+    O = load('research/complex-t21-owners/vendor/pr870/independent/price_profile_t16.py', 'retained_outer_driver')
+    claim = json.loads((HERE.parent/'CLAIM.json').read_text())
+    local = {int(r): n for r, n in claim['local_profile'].items()}
+    upper, vectors = dual_tables()
+    mass = sum(c*n for c, (n, _) in CAPACITIES.items())-9*sum(r*n for r, n in INVENTORY.items())
+    signed = sum(n*p for n, p in CAPACITIES.values())+9*sum(INVENTORY[r]*p for r, p in zip(WIDTHS, PRICES))
+    need((mass, signed, upper[0], upper[48]) == (14382, -3892, 0, -13), 'fixed-family coefficients')
+    need(48*signed+13*mass == 150, 'dual credit demand per replica')
+    T = 37
+    idle = {48: 11086, 1: 6}
+    need(sum(r*n for r, n in idle.items()) == mass*T, 'T37 idle mass')
+    need(sum(upper[r]*n for r, n in idle.items()) == signed*T, 'T37 signed dual equality')
+    need(Q(150, 925) == Q(6, 37), 'equality ratio')
+    profile = Counter({r: 9*T*n for r, n in local.items()})
+    profile.update(idle)
+    live = 896*T
+    need(73*live-sum(r*n for r, n in profile.items()) == 320*T, 'profile deficit')
+    root = M.certify(profile, 73, live)
+    lo, hi = Q(root['lower']), Q(root['upper'])
+    signs = {}
+    for name, z in [('lower', lo), ('upper', hi)]:
+        first = M.moment(profile, 73, live, z)
+        second = B.moment(73, live, list(profile.items()), z)
+        need(first[1] < 1 and second[1] < 1 if name == 'lower' else first[0] > 1 and second[0] > 1,
+             'two exact moment signs at '+name)
+        signs[name] = dict(endpoint=str(z), mercator=[str(x-1) for x in first], atanh=[str(x-1) for x in second])
+    certs = {kind: ratio_certificate(engine, kind, upper, hi)
+             for kind, engine in [('mercator', M), ('atanh', B)]}
+    price_lower = O.outer47(Q(claim['bit_lower']), lo, A)
+    price_upper = O.outer47(Q(claim['bit_lower']), hi, A)
+    need(price_lower['kappa'] == price_upper['kappa'], 'one kappa grid tick encloses complete relaxed root')
+    old_k, new_k = Q(claim['baseline_pr942_kappa']), Q(price_upper['kappa'])
+    result = dict(status='PASS_ALL_T_U10_SIGNED_DUAL_RELAXATION_BOUND',
+                  scope='All positive integer replica counts, the fixed U10 local paid profile and helper widths, unchanged 8/16/32/48 capacity inventory, whole helpers, native no-surcharge complex moment and retained outer recipe. Time windows, bin count realizability, owner geometry, payload/invoice admission and physical execution are relaxed in this arithmetic component. The package separately certifies its T37 construction and finite admission; this upper bound alone does not establish feasibility.',
+                  dual_bin_vectors=vectors, upper=upper, mass_per_replica=mass, signed_price_per_replica=signed,
+                  credit_per_replica=150, equality_replica_counts='positive multiples of 37 only',
+                  normalized_idle={'1': '6/37', '48': '11086/37'},
+                  smallest_integral_relaxed_profile=dict(replicas=T, idle=idle, profile=dict(sorted(profile.items())), live=live, deficit=320*T),
+                  root=root, two_engine_signs=signs, supporting_inequalities=certs,
+                  relaxed_outer_lower=price_lower, relaxed_outer_upper=price_upper,
+                  baseline_kappa=str(old_k), all_T_grid_upper=str(new_k),
+                  maximum_grid_headroom=str(new_k-old_k), maximum_grid_headroom_decimal=M.decimal(new_k-old_k),
+                  source_sha256=PINS)
+    need(not out.exists(), 'output preservation: choose a new file')
+    out.write_text(json.dumps(result, indent=2)+'\n')
+    print(result['status'], 'kappa_grid_upper='+price_upper['kappa_decimal'],
+          'headroom='+result['maximum_grid_headroom_decimal'], 'component=all_T_upper_bound')
+
+
+if __name__ == '__main__':
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--out', type=Path, required=True)
+    main(parser.parse_args().out)
diff --git a/research/complex-u10-t37/independent/check_payload_controls.py b/research/complex-u10-t37/independent/check_payload_controls.py
new file mode 100644
index 0000000000..73bb9911c7
--- /dev/null
+++ b/research/complex-u10-t37/independent/check_payload_controls.py
@@ -0,0 +1,94 @@
+"""Check strict payload boundaries, then mutate the completed T37 admission.
+
+Use --arithmetic-only before the strict global replay exists. This mode does
+not claim that altered payloads have a complete controller/invoice admission.
+"""
+import argparse
+import copy
+import hashlib
+import importlib.util
+import json
+import os
+from pathlib import Path
+import sys
+import traceback
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled; do not use Python -O')
+HERE=Path(__file__).resolve().parent
+ROOT=HERE.parents[2]
+sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest()
+digest=lambda obj:hashlib.sha256(json.dumps(obj,sort_keys=True,separators=(',',':')).encode()).hexdigest()
+
+def main():
+    parser=argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--arithmetic-only',action='store_true')
+    parser.add_argument('--work',type=Path,required=True)
+    parser.add_argument('--geometry',type=Path,help='Defaults to WORK/INDEPENDENT-OWNERS.json')
+    parser.add_argument('--out',type=Path,required=True)
+    args=parser.parse_args()
+    WORK=args.work.resolve()
+    args.out=args.out.resolve()
+    assert not args.out.exists() and not args.out.is_relative_to(ROOT),'New output outside checkout required'
+    geometry_path=(args.geometry or WORK/'INDEPENDENT-OWNERS.json').resolve()
+    geometry=json.loads(geometry_path.read_text())
+    assert geometry['status']=='PASS_INDEPENDENT_VARIABLE_T_LITERAL_WINDOWS_CHARTS_PREFIX_ROW'
+    assert geometry['prefix_bits']==779 and geometry['physical_stock_bits']==2643
+    boundary=[]
+    for payload,expected in [(512,False),(778,False),(779,False),(780,True),(1024,True),(2356,True),(2357,False)]:
+        prefix=geometry['local_prefix_bits']+37+geometry['calls']+geometry['bridge_events']+4
+        row=2*geometry['physical_stock_bits']+9909+252+2*payload
+        okay=prefix<payload and row<20161
+        assert okay==expected
+        boundary.append(dict(payload=payload,prefix=prefix,row=row,accepted_by_reserve_arithmetic=okay,
+          rejection=None if okay else 'strict prefix'if prefix>=payload else 'strict row'))
+    result=dict(status='PASS_STRICT_PAYLOAD_RESERVE_BOUNDARIES',boundary=boundary,
+      geometry_sha256=sha(geometry_path),geometry_path=str(geometry_path),
+      scope='Strict finite prefix and row parameter arithmetic. Boundary alternatives are not complete alternative supplier admissions.')
+    if not args.arithmetic_only:
+        source=ROOT/'research/complex-k492-owner-repair/vendor/multicold'
+        code=WORK/'runtime/code'
+        os.environ['GAIN_PR564_SOURCE']=str(source)
+        os.environ['MULTICOLD_SOURCE']=str(source)
+        os.environ['WITNESS_SPEC']=str(WORK/'runtime/data/SPEC.json')
+        for key in ('WITNESS_DISCOVER','WITNESS_RECORD','PYTHONOPTIMIZE'):
+            os.environ.pop(key,None)
+        sys.path.insert(0,str(code))
+        spec=importlib.util.spec_from_file_location('payload_assembly',code/'assemble.py')
+        A=importlib.util.module_from_spec(spec);spec.loader.exec_module(A)
+        owner_path=WORK/'strict/global/audit/OWNERS-AND-PROFILE.json'
+        invoice_path=WORK/'strict/global/audit/PREFIX-AND-INVOICE.json'
+        owner=json.loads(owner_path.read_text());invoice=json.loads(invoice_path.read_text())
+        baseline=A.assemble(owner,invoice,sha(owner_path),sha(invoice_path))
+        assert baseline['kappa_decimal']=='0.001662039077758742'
+        cases=[]
+        for payload in (512,779,780,1023,1025):
+            bad=copy.deepcopy(invoice)
+            bad['charged_prefix_bits']=payload
+            bad['row_prefix_extra']=2*payload
+            bad['finite']['physical_row_coefficient']=15447+2*payload
+            cases.append(('different_payload_'+str(payload)+'_and_consistent_row',bad))
+        for prefix in (491,778,780,1024,1025):
+            bad=copy.deepcopy(invoice);bad['global_prefix_bits']=prefix
+            cases.append(('incorrect_prefix_'+str(prefix),bad))
+        bad=copy.deepcopy(invoice)
+        bad['row_prefix_extra']=1024
+        bad['finite']['physical_row_coefficient']=16471
+        cases.append(('new_payload_but_old_512_row_charge',bad))
+        rejected=[]
+        for name,bad in cases:
+            try:A.assemble(owner,bad,sha(owner_path),digest(bad))
+            except AssertionError:
+                frame=traceback.extract_tb(sys.exc_info()[2])[-1]
+                rejected.append(dict(name=name,source_line=frame.lineno,predicate=frame.line))
+            else:raise AssertionError('Accepted payload mutation '+name)
+        result.update(status='PASS_T37_PAYLOAD_BOUNDARIES_AND_STRICT_ADMISSION_MUTATIONS',
+          baseline_kappa=baseline['kappa_decimal'],rejected_controls=rejected,
+          inputs={str(p.resolve()):sha(p)for p in [geometry_path,owner_path,invoice_path,code/'assemble.py',WORK/'runtime/data/SPEC.json']},
+          scope='Strict reserve parameter boundaries plus actual frozen T37 assembly rejects eleven changed/understated payload-prefix-row receipts. Existing geometric and supplier audits remain prerequisites. Supplier ancestry admission is checked separately by the driver.')
+    out=args.out
+    out.parent.mkdir(parents=True,exist_ok=True)
+    out.write_text(json.dumps(result,indent=2)+'\n')
+    print(result['status'],len(boundary),'boundaries;',len(result.get('rejected_controls',[])),'actual assembly mutations')
+
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/independent/check_t37.py b/research/complex-u10-t37/independent/check_t37.py
new file mode 100644
index 0000000000..ee67445cb0
--- /dev/null
+++ b/research/complex-u10-t37/independent/check_t37.py
@@ -0,0 +1,89 @@
+"""Independent T37 whole-role/window/chart check with explicit payload adaptation.
+
+Preserves the PR890 independent checker except three payload constants and
+the replica range admitted by the enlarged prefix reserve. Reads three named
+original T8 reference inputs from the provided cold replay and fresh U8 data.
+"""
+import argparse
+import copy
+import gzip
+import hashlib
+import importlib.util
+import json
+from pathlib import Path
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled; do not use Python -O')
+HERE=Path(__file__).resolve().parent
+ROOT=HERE.parents[2]
+PACKAGE=HERE.parent
+SOURCE=ROOT/'research/complex-t21-owners/independent_check.py'
+
+def sha(path):return hashlib.sha256(path.read_bytes()).hexdigest()
+
+def main():
+    ap=argparse.ArgumentParser(description=__doc__)
+    ap.add_argument('--word',type=Path,required=True)
+    ap.add_argument('--local-replay',type=Path,required=True)
+    ap.add_argument('--out',type=Path,required=True)
+    ap.add_argument('--baseline-base',type=Path,required=True,
+                    help='Fresh replay base containing split-centres and work/complex-nine-native')
+    args=ap.parse_args()
+    args.out=args.out.resolve()
+    assert not args.out.exists() and not args.out.is_relative_to(ROOT),'New output outside checkout required'
+    text=SOURCE.read_text()
+    changes=[('2 * 512','2 * 1024',1),('prefix < 512','prefix < 1024',1),
+             ('charged_prefix_bits=512','charged_prefix_bits=1024',1),
+             ('1 <= T <= 22','1 <= T <= 50',1)]
+    for old,new,count in changes:
+        assert text.count(old)==count,(old,text.count(old))
+        text=text.replace(old,new)
+    args.out.parent.mkdir(parents=True,exist_ok=True)
+    adapter=args.out.parent/'independent_check_1024.py'
+    assert not adapter.exists(),'Independent adapter output must be new'
+    adapter.write_text(text)
+    spec=importlib.util.spec_from_file_location('independent_t37',adapter)
+    ck=importlib.util.module_from_spec(spec);spec.loader.exec_module(ck)
+    ck.T=37;ck.EXPECTED_IDLE={48:11086,1:6}
+    # No constructor, owner emitter, or root exploratory search is imported.
+    refs=[args.baseline_base/'split-centres/GLOBAL-TEMPLATE.json.gz',
+          args.baseline_base/'split-centres/CANONICAL-WORD.json.gz',
+          args.baseline_base/'work/complex-nine-native/DATA-PHASES.json']
+    parent,canonical,phases=map(ck.read,refs)
+    word,replay=ck.read(args.word),ck.read(args.local_replay)
+    assert replay['status']=='PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY'
+    assert replay['canonical_word_sha256']==sha(args.word)
+    assert set(replay['local'])=={'forward','backward'}
+    assert word['ports']==canonical['ports']
+    assert len(word['center_frames'])==len(canonical['center_frames'])==8
+    assert [ck.basis(word['frames'][f])for f in word['center_frames']]==[ck.basis(canonical['frames'][f])for f in canonical['center_frames']]
+    owner_path=PACKAGE/'OWNERS.json.gz'
+    roles=ck.read(owner_path)
+    context=ck.make_context(parent,phases,canonical['ports'],word,replay,roles)
+    receipt=ck.check_roles(context,roles)
+    receipt['controls_rejected']=ck.controls(context,roles)
+    edits_path=PACKAGE/'EDITS.json'
+    edits=ck.read(edits_path)['edits']
+    by_role={(z['stage'],z['replica'],z['helper']):i for i,z in enumerate(roles)}
+    omitted=[]
+    for edit in edits:
+        bad=roles.copy();index=by_role[tuple(edit['role'])]
+        z=dict(roles[index]);z.update(edit['before'])
+        child=z['child'];owner=z['owner_replica'];port=z['port']
+        z['copy']=112*owner+port
+        z['family']=owner*896+(2*context['child_pair'][child]+context['side'][child])*112+port
+        bad[index]=z
+        try:ck.check_roles(context,bad)
+        except ValueError as exc:omitted.append(dict(role=edit['role'],reason=str(exc)))
+        else:raise AssertionError('Accepted omitted edit '+str(edit['role']))
+    receipt['omitted_edits_rejected']=omitted
+    receipt['checker_adaptation']=dict(source_sha256=sha(SOURCE),adapted_sha256=sha(adapter),changes=changes)
+    inputs=[args.word,args.local_replay,owner_path,edits_path,SOURCE]+refs
+    receipt['input_sha256']={str(p.resolve()):sha(p)for p in inputs}
+    receipt['scope']='Fresh independent full owner/event/chart/profile/prefix/row check with native U8 word/replay binding. Full controller emission, complete finite invoice and supplier ancestry admission remain separate.'
+    receipt['baseline_mode']='provided_replay_base'
+    args.out.write_text(json.dumps(receipt,indent=2)+'\n')
+    print(json.dumps({k:receipt[k]for k in ['status','roles','calls','prefix_bits','physical_row_coefficient','idle']}))
+    print('Controls:',len(receipt['controls_rejected']),'omitted edits:',len(omitted))
+
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/independent/verify_construct.py b/research/complex-u10-t37/independent/verify_construct.py
new file mode 100644
index 0000000000..a2862a6788
--- /dev/null
+++ b/research/complex-u10-t37/independent/verify_construct.py
@@ -0,0 +1,136 @@
+"""Rebuild frozen T37 owners independently, without importing any constructor.
+
+T16's frozen literal edit tuple is parsed as data; T21/T37 edits are JSON.
+No optimizer, search, or root exploratory module is executed.
+"""
+import argparse
+import ast
+import copy
+import gzip
+import hashlib
+import json
+from pathlib import Path
+
+if not __debug__:
+    raise RuntimeError('Assertions must remain enabled; do not use Python -O')
+HERE=Path(__file__).resolve().parent
+ROOT=HERE.parents[2]
+T21=ROOT/'research/complex-t21-owners'
+T37=HERE.parent
+fields=('owner_replica','child','port','offset')
+def read(path):
+    raw=path.read_bytes()
+    return json.loads(gzip.decompress(raw)if path.suffix=='.gz'else raw)
+def sha(path):return hashlib.sha256(path.read_bytes()).hexdigest()
+def identity(value):return hashlib.sha256(json.dumps(value,sort_keys=True,separators=(',',':')).encode()).hexdigest()
+
+def main():
+    parser=argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--out',type=Path,required=True)
+    args=parser.parse_args()
+    args.out=args.out.resolve()
+    assert not args.out.exists() and not args.out.is_relative_to(ROOT),'New output outside checkout required'
+    plan_path=ROOT/'research/gauge44-frames-x/data/PLAN.json'
+    roles_path=ROOT/'research/gauge44-frames-x/data/OWNERS.json.gz'
+    source_py=T21/'vendor/pr870/t16/build_owners.py'
+    literals={}
+    for node in ast.parse(source_py.read_text()).body:
+        if isinstance(node,ast.Assign) and len(node.targets)==1 and isinstance(node.targets[0],ast.Name):
+            name=node.targets[0].id
+            if name in ('SOURCE_PLAN_SHA256','SOURCE_OWNERS_SHA256','EDITS'):
+                literals[name]=ast.literal_eval(node.value)
+    assert sha(plan_path)==literals['SOURCE_PLAN_SHA256']
+    assert sha(roles_path)==literals['SOURCE_OWNERS_SHA256']
+    plan,source=read(plan_path),read(roles_path)
+    def move(role,dest):
+        role.update(dict(zip(fields,dest))if isinstance(dest,tuple)else dest)
+        r,child,port=(role[k]for k in fields[:3])
+        role['copy']=112*r+port
+        role['family']=896*r+112*(2*plan['pairs'][str(child)]+plan['sides'][str(child)])+port
+    t16=[]
+    for role in source:
+        for group in range(2):
+            z=dict(role)
+            z['replica']+=8*group
+            z['owner_replica']+=8*group
+            z['copy']+=896*group
+            z['family']+=7168*group
+            z['time']=2*role['time']+group
+            t16.append(z)
+    t16.sort(key=lambda z:(z['time'],z['helper']))
+    bykey={(z['time'],z['helper']):z for z in t16}
+    assert len(literals['EDITS'])==11
+    for time,helper,width,before,after in literals['EDITS']:
+        z=bykey[time,helper]
+        assert tuple(z[k]for k in fields)==before and z['width']==width
+        move(z,after)
+    t21=copy.deepcopy(t16)
+    for z in read(T21/'data/T5-OWNERS.json.gz'):
+        z['replica']+=16
+        z['owner_replica']+=16
+        z['copy']+=1792
+        z['family']+=14336
+        t21.append(z)
+    merged=[]
+    count16=0
+    for stage,replica in plan['order']:
+        for group in range(3):
+            r=replica+8*group
+            if r>=21:continue
+            if r<16:
+                merged.append((2*count16,0,stage,r))
+                count16+=1
+            else:merged.append((2*(count16+4)-1,1,stage,r))
+    order21=[(s,r)for _,_,s,r in sorted(merged)]
+    at={key:i for i,key in enumerate(order21)}
+    for z in t21:z['time']=at[z['stage'],z['replica']]
+    t21.sort(key=lambda z:(z['time'],z['helper']))
+    bykey={(z['time'],z['helper']):z for z in t21}
+    edits21=read(T21/'data/EDITS.json')
+    assert len(edits21)==9
+    for e in edits21:
+        z=bykey[tuple(e['role'])]
+        assert {k:z[k]for k in fields}==e['before']
+        move(z,e['after'])
+    for z in t16:
+        z['replica']+=21
+        z['owner_replica']+=21
+        z['copy']+=2352
+        z['family']+=18816
+    order16=[(s,r+8*g+21)for s,r in plan['order']for g in range(2)]
+    edit_spec=read(T37/'EDITS.json')
+    assert edit_spec['delay']==0
+    decorated=[(144*i,0,s,r)for i,(s,r)in enumerate(order21)]
+    decorated.extend((189*i,1,s,r)for i,(s,r)in enumerate(order16))
+    order=[(s,r)for _,_,s,r in sorted(decorated)]
+    assert len(order)==333 and len(set(order))==333
+    # Stable subgroup projections are a consequence of this exact order.
+    assert [(s,r)for s,r in order if r<21]==order21
+    assert [(s,r)for s,r in order if r>=21]==order16
+    at={key:i for i,key in enumerate(order)}
+    roles=t21+t16
+    for z in roles:z['time']=at[z['stage'],z['replica']]
+    roles.sort(key=lambda z:(z['time'],z['helper']))
+    before=copy.deepcopy(roles)
+    bykey={(z['stage'],z['replica'],z['helper']):z for z in roles}
+    assert len(bykey)==167832 and len(edit_spec['edits'])==8
+    assert len({tuple(e['role'])for e in edit_spec['edits']})==8
+    for e in edit_spec['edits']:
+        z=bykey[tuple(e['role'])]
+        assert {k:z[k]for k in fields}==e['before']
+        move(z,e['after'])
+    assert sum(a!=b for a,b in zip(before,roles))==8
+    assert roles==read(T37/'OWNERS.json.gz')
+    assert [list(k)for k in order]==read(T37/'ORDER.json')
+    inputs=[plan_path,roles_path,source_py,T21/'data/T5-OWNERS.json.gz',T21/'data/EDITS.json',T37/'EDITS.json',T37/'OWNERS.json.gz',T37/'ORDER.json']
+    receipt=dict(status='PASS_INDEPENDENT_FROZEN_T37_RECONSTRUCTION_NO_SEARCH',
+      roles=len(roles),calls=len(order),edits=8,inherited_t16_edits=11,inherited_t21_edits=9,
+      source_plan_pin_verified=True,source_owner_pin_verified=True,
+      owner_content_sha256=identity(roles),order_content_sha256=identity(order),
+      inputs={str(p.resolve()):sha(p)for p in inputs},
+      scope='Exact frozen finite construction only. The independent owner/chart audit provides geometry; full supplier/invoice and inherited all-size assumptions are separate. Supplier ancestry admission is checked separately by the driver.')
+    args.out.parent.mkdir(parents=True,exist_ok=True)
+    args.out.write_text(json.dumps(receipt,indent=2)+'\n')
+    print(receipt['status'],len(roles),'roles;',len(order),'calls; eight exact edits')
+
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/package.py b/research/complex-u10-t37/package.py
new file mode 100644
index 0000000000..97bff0782f
--- /dev/null
+++ b/research/complex-u10-t37/package.py
@@ -0,0 +1,35 @@
+# SPDX-License-Identifier: Apache-2.0
+"""Validate the immutable T37 package and declared predecessor source closure."""
+import argparse
+import hashlib
+import json
+from pathlib import Path
+from common import P, ROOT, T21, load
+
+
+def sha(path):
+    return hashlib.sha256(path.read_bytes()).hexdigest()
+
+
+def validate(package=P, root=ROOT):
+    manifest = package/'MANIFEST.json'
+    expected = json.loads(manifest.read_text())
+    actual = {p.relative_to(package).as_posix(): sha(p)
+              for p in package.rglob('*')
+              if p.is_file() and p != manifest and '__pycache__' not in p.parts}
+    if actual != expected:
+        raise ValueError('T37 package manifest mismatch')
+    dependencies = package/'DEPENDENCY-PINS.json'
+    for relative, digest in json.loads(dependencies.read_text()).items():
+        path = (root/relative).resolve()
+        if Path(relative).is_absolute() or not path.is_relative_to(root.resolve()):
+            raise ValueError('Invalid dependency path: '+relative)
+        if sha(path) != digest:
+            raise ValueError('Changed dependency: '+relative)
+    predecessor = load(T21/'verify.py', 't37_predecessor_pins').validate_pins()
+    return dict(manifest_sha256=sha(manifest), dependencies_sha256=sha(dependencies),
+                predecessor=predecessor)
+
+
+if __name__ == '__main__':
+    print(json.dumps(validate(), indent=2))
diff --git a/research/complex-u10-t37/package_controls.py b/research/complex-u10-t37/package_controls.py
new file mode 100644
index 0000000000..01ea2fe28e
--- /dev/null
+++ b/research/complex-u10-t37/package_controls.py
@@ -0,0 +1,68 @@
+# SPDX-License-Identifier: Apache-2.0
+"""Check package boundaries and assertion guards without changing source files."""
+import argparse
+import hashlib
+import json
+from pathlib import Path
+import shutil
+import subprocess
+import sys
+import tempfile
+from common import P, ROOT
+from package import validate
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--out', type=Path, required=True)
+    args = parser.parse_args()
+    assert not args.out.exists() and not args.out.resolve().is_relative_to(ROOT)
+    pins = validate()
+    rejected = []
+    args.out=args.out.resolve()
+    args.out.parent.mkdir(parents=True,exist_ok=True)
+    with tempfile.TemporaryDirectory(prefix='t37-package-controls-',dir=args.out.parent) as directory:
+        folder = Path(directory).resolve()
+        assert folder.is_relative_to(args.out.parent)
+        def case(name, mutate):
+            dest = folder/name
+            shutil.copytree(P, dest, ignore=shutil.ignore_patterns('__pycache__'))
+            mutate(dest)
+            try:
+                validate(dest)
+            except (ValueError, FileNotFoundError) as error:
+                rejected.append(dict(name=name, reason=str(error)))
+            else:
+                raise AssertionError('Accepted invalid package: '+name)
+
+        case('changed_owner_payload', lambda d: (d/'OWNERS.json.gz').write_bytes(b'changed'))
+        case('missing_frozen_order', lambda d: (d/'ORDER.json').unlink())
+        case('undeclared_package_file', lambda d: (d/'undeclared.txt').write_text('extra'))
+        def changed_dependency(dest, relative):
+            path = dest/'DEPENDENCY-PINS.json'
+            pins = json.loads(path.read_text())
+            pins[relative] = '0'*64
+            path.write_text(json.dumps(pins))
+            manifest = dest/'MANIFEST.json'
+            contents = json.loads(manifest.read_text())
+            contents['DEPENDENCY-PINS.json'] = hashlib.sha256(path.read_bytes()).hexdigest()
+            manifest.write_text(json.dumps(contents))
+        case('changed_ancestry_source', lambda d: changed_dependency(d, 'scripts/verify_frontier799.py'))
+        case('dependency_path_escape', lambda d: changed_dependency(d, '../outside'))
+
+    guards = ['verify.py', 'prepare.py', 'replay.py', 'final_binding.py', 'package.py',
+              'independent/verify_construct.py', 'independent/check_t37.py',
+              'independent/check_payload_controls.py', 'independent/all_t_bound.py']
+    for relative in guards:
+        result = subprocess.run([sys.executable, '-B', '-O', str(P/relative), '--help'],
+                                capture_output=True, text=True)
+        assert result.returncode != 0 and ('Assertions must remain enabled' in result.stderr or
+               'Retained arithmetic assertions must stay enabled' in result.stderr), relative
+        rejected.append(dict(name='optimized_python:'+relative, reason='Explicit assertion guard'))
+    receipt = dict(status='PASS_T37_PACKAGE_CONTROLS', pins=pins, rejected=rejected)
+    args.out.write_text(json.dumps(receipt, indent=2)+'\n')
+    print(receipt['status'], len(rejected))
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/complex-u10-t37/prepare.py b/research/complex-u10-t37/prepare.py
new file mode 100644
index 0000000000..2923ee4ee2
--- /dev/null
+++ b/research/complex-u10-t37/prepare.py
@@ -0,0 +1,92 @@
+"""Prepare an explicitly adapted U10/T37 finite replay; source packages stay read-only.
+
+Derived from Chafik Boukhalfa's PR890, Hao Yan's PR858, Jeremy Kothe's PR799,
+and the retained PR869/870 and PR741/589 lineages. Apache-2.0.
+The verification driver creates all outputs outside the source checkout.
+"""
+import hashlib, io, json, os, re, tokenize
+from pathlib import Path
+from common import ROOT,P,T21,read,load
+OUT=Path(os.environ.get('T37_WORK',ROOT.parent/'t37-work')).resolve()
+NUM={21:37,189:333,95256:167832,18816:33152,32424:55832,32938:56346,
+     13608:22680,20720:44128,6720:11840,42336:74592,6292:11086}
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def numbers(text):
+    tokens=[]
+    for t in tokenize.generate_tokens(io.StringIO(text).readline):
+        if t.type==tokenize.NUMBER and t.string.isdecimal() and int(t.string)in NUM:
+            t=t._replace(string=str(NUM[int(t.string)]))
+        tokens.append(t)
+    return tokenize.untokenize(tokens)
+def transform(text):
+    text=numbers(text).replace('(8, 8, 5)','(8, 8, 8, 8, 5)').replace('[8, 8, 5]','[8, 8, 8, 8, 5]')
+    return text.replace('T21','T37').replace('t21','t37').replace('8+8+5','8+8+8+8+5').replace('8-8-5','8-8-8-8-5')
+def replace(text,a,b,count=1):
+    assert text.count(a)==count,(a,text.count(a),count)
+    return text.replace(a,b)
+def expected_adaptations():
+    """Derive the complete adapter text from immutable source and fixed edits."""
+    receipts={}
+    for name in ('build_parent.py','check_parent.py'):
+        source=T21/name;text=source.read_text();text=transform(text)
+        # Source resolution remains the pinned T21 package; only output parameters change.
+        text='import sys\nsys.path.insert(0,'+repr(str(T21))+')\n'+text
+        if name=='build_parent.py':
+            text=replace(text,'((48, 11086), (3, 1), (1, 3))','((48, 11086), (1, 6))')
+            # U10: the frozen plan profile is 333 x the U10 local profile (this package's CLAIM), not U8's.
+            text=replace(text,"read(HERE/'data/CLAIM.json')['local_profile']","read("+repr(str(P/'CLAIM.json'))+")['local_profile']")
+            text=replace(text,"mode='gauge44-U8-t37-","mode='gauge44-U10-t37-")
+            # U10: rebind the inherited U8 provider identities in the T8 plan registry to the frozen U10 values
+            # (construction/u10/PROVIDER-U10.json); bind_providers_portable.py re-checks them against fresh U10 locals.
+            text=replace(text,"    plan = read(HERE/'vendor/pr870/data/T8/PLAN.json')\n",
+                "    plan = read(HERE/'vendor/pr870/data/T8/PLAN.json')\n"
+                "    import json as _json\n"
+                "    _u10 = read("+repr(str(P/'construction/u10/PROVIDER-U10.json'))+")\n"
+                "    _text = _json.dumps(plan)\n"
+                "    for _old, _new in _u10['rebind'].items():\n"
+                "        require(_text.count(_old) > 0, 'U10 rebind source identity present')\n"
+                "        _text = _text.replace(_old, _new)\n"
+                "    plan = _json.loads(_text)\n"
+                "    plan['provider_registry']['gauge44']['actual_paid_profile'] = _u10['actual_paid_profile']\n")
+        receipts[name]=dict(source=source,text=text)
+    source=T21/'vendor/pr870/code'
+    edit_table=read(T21/'data/ADAPTER-EDITS.json')
+    for path in sorted(source.glob('*.py')):
+        text=path.read_text();edits=[]
+        for before,after,count in edit_table.get(path.name,[]):
+            after=re.sub(r'\b(?:21|189|95256|18816|32424|32938|13608|20720|6720|42336|6292)\b',lambda m:str(NUM[int(m[0])]),after)
+            after=after.replace('T21','T37').replace('all189','all333').replace('8,8,5','8,8,8,8,5').replace('three bank groups','five bank groups').replace('T16 plus T5 nine-role trade','T21 plus T16 eight-role trade')
+            text=replace(text,before,after,count);edits.append([before,after,count])
+        extra=[]
+        if path.name=='invoice_allcold.py':extra=[('payload=512','payload=1024'),("previous['charged_prefix_bits']==payload","previous['charged_prefix_bits']<=payload")]
+        if path.name=='assemble.py':extra=[("invoice['charged_prefix_bits']==512","invoice['charged_prefix_bits']==1024"),("invoice['row_prefix_extra']==1024","invoice['row_prefix_extra']==2048"),('2*stock.bit_length()+9909+252+1024','2*stock.bit_length()+9909+252+2048'),('(4+512)','(4+1024)',2)]
+        for item in extra:
+            a,b,*cnt=item;count=cnt[0]if cnt else 1;text=replace(text,a,b,count);edits.append([a,b,count])
+        receipts['runtime/'+path.name]=dict(source=path,text=text,edits=edits)
+    return receipts
+
+def main():
+    assert 'T37_WORK' in os.environ and 'T37_BASELINE' in os.environ, 'Run verify.py'
+    assert OUT.exists() and not OUT.is_relative_to(ROOT)
+    assert Path(os.environ['T37_BASELINE']).is_dir()
+    adapted=OUT/'adapted';adapted.mkdir()
+    runtime=OUT/'runtime'
+    load(T21/'source_adapters.py','source_adapters').materialize(runtime)
+    # Preserve the predecessor receipt as explicitly intermediate provenance.
+    (runtime/'ADAPTERS.json').rename(runtime/'T21-INTERMEDIATE-ADAPTERS.json')
+    receipts={}
+    for name, record in expected_adaptations().items():
+        dest=runtime/'code'/name.split('/',1)[1] if name.startswith('runtime/') else adapted/name
+        dest.write_text(record['text'],encoding='utf-8',newline='\n')
+        receipts[name]=dict(source_sha256=sha(record['source']),generated_sha256=sha(dest))
+        if 'edits' in record: receipts[name]['edits']=record['edits']
+    (OUT/'ADAPTATIONS.json').write_text(json.dumps(receipts,indent=2)+'\n')
+    spec=read(T21/'data/SPEC.json');order=read(P/'ORDER.json')
+    spec['name']='gauge44-U10-t37-whole-owners';spec['call_order']=order
+    spec['dispatch']=[[s,r,'gauge44']for s,r in order]
+    spec['expected']={'gain_baseline_kappa':spec['expected']['gain_baseline_kappa']};spec['providers']={}
+    spec['pivot_swap']['recipe']=str((T21/spec['pivot_swap']['recipe']).resolve())
+    (runtime/'data').mkdir(exist_ok=True)
+    (runtime/'data/SPEC.json').write_text(json.dumps(spec,indent=2)+'\n')
+    print('PREPARED',OUT)
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/replay.py b/research/complex-u10-t37/replay.py
new file mode 100644
index 0000000000..c151a9cc8f
--- /dev/null
+++ b/research/complex-u10-t37/replay.py
@@ -0,0 +1,55 @@
+"""Run discovery then a separate strictly pinned emitted T37 replay.
+
+Consumes a prepared PR799 base; ancestry is checked separately by verify.py.
+The verification driver supplies a completed source-bound cold base and freshly rebuilt U8.
+The discovery stage freezes derived receipts for a separate strict run; it does not search.
+"""
+import hashlib,json,os,shutil,subprocess,sys,time
+from pathlib import Path
+from common import ROOT,P,T21,read
+OUT=Path(os.environ.get('T37_WORK',ROOT.parent/'t37-work')).resolve()
+SOURCE=ROOT/'research/complex-k492-owner-repair/vendor/multicold'
+NATIVE=Path(os.environ.get('T37_LOCAL',OUT/'native10/local')).resolve()
+BASELINE=Path(os.environ.get('T37_BASELINE',OUT/'baseline799')).resolve()
+def main():
+    mode=sys.argv[1];assert mode in ('discovery','strict')
+    stageout=OUT/(sys.argv[2]if len(sys.argv)>2 else mode)
+    assert 'T37_WORK' in os.environ and 'T37_BASELINE' in os.environ, 'Run verify.py'
+    assert not stageout.exists() and not OUT.is_relative_to(ROOT)
+    stageout.mkdir()
+    runtime=OUT/'runtime';code=runtime/'code';specpath=runtime/'data/SPEC.json'
+    if mode=='discovery':
+        spec=read(specpath);spec['data']={key:hashlib.sha256(path.read_bytes()).hexdigest()for key,path in [('owners_sha256',P/'OWNERS.json.gz'),('plan_sha256',OUT/'lift/PLAN.json')]};specpath.write_text(json.dumps(spec,indent=2)+'\n')
+        spec['expected']['gain_baseline_kappa']=read(T21/'data/SPEC.json')['expected']['gain_baseline_kappa'];specpath.write_text(json.dumps(spec,indent=2)+'\n')
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',
+             MULTICOLD_SOURCE=str(SOURCE),GAIN_PR564_SOURCE=str(SOURCE),WITNESS_SPEC=str(specpath))
+    temp=OUT/'temp';temp.mkdir(exist_ok=True)
+    env.update(TEMP=str(temp),TMP=str(temp),TMPDIR=str(temp))
+    for key in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD'):env.pop(key,None)
+    if mode=='discovery':env.update(WITNESS_DISCOVER='1',WITNESS_RECORD=str(stageout/'WITNESS-RECORD.jsonl'))
+    stages=[]
+    def run(name,script,*args):
+        start=time.monotonic();log=stageout/(name+'.log')
+        with log.open('w',encoding='utf-8')as f:
+            proc=subprocess.run([sys.executable,'-B',str(SOURCE/'code/run_portable.py'),str(script),*map(str,args)],cwd=ROOT,env=env,stdout=f,stderr=subprocess.STDOUT)
+        stages.append(dict(name=name,exit_code=proc.returncode,seconds=round(time.monotonic()-start,3),log_sha256=hashlib.sha256(log.read_bytes()).hexdigest()))
+        (stageout/'STAGES.json').write_text(json.dumps(stages,indent=2)+'\n')
+        if proc.returncode:raise RuntimeError(name+'\n'+log.read_text(errors='replace')[-6000:])
+        print('PASS',mode,name,stages[-1]['seconds'],flush=True)
+    parent=OUT/'parent'
+    if not parent.exists():
+        shutil.copytree(BASELINE/'global/parent558',parent)
+        shutil.copyfile(OUT/'lift/GLOBAL-TEMPLATE.json.gz',parent/'complex-global/base/split-centres/GLOBAL-TEMPLATE.json.gz')
+    g=stageout/'global'
+    run('bind',code/'bind_providers_portable.py','--baseline',parent,'--provider','gauge44='+str(NATIVE),'--plan',OUT/'lift/PLAN.json','--out',g)
+    run('emit',code/'emit_allcold.py','--base',g/'base','--owners',P/'OWNERS.json.gz','--plan',g/'PLAN.json','--out',g/'hosted')
+    run('audit',code/'audit_allcold.py',g/'base',g/'hosted',g/'audit/ASYNC-AUDIT.json','--mutation-controls')
+    run('invoice',code/'invoice_allcold.py','--base',g/'base','--hosted',g/'hosted','--audit',g/'audit','--out',g/'audit','--retained-invoice',SOURCE/'vendor/pr558/vendor/pr552/complex-global/vendor531/evidence/audit/PREFIX-AND-INVOICE.json')
+    run('assembly',code/'assemble.py',SOURCE,g,stageout/'ASSEMBLY.json')
+    if mode=='discovery':
+        run('freeze',code/'freeze_spec.py','--spec',specpath,'--discovery',stageout)
+    else:
+        for name,script,out in [('admission-controls','assembly_controls.py','ADMISSION-CONTROLS.json'),('bit-controls','bit_supplier_controls.py','BIT-CONTROLS.json')]:
+            run(name,code/script,'--source-package',SOURCE,'--owner',g/'audit/OWNERS-AND-PROFILE.json','--invoice',g/'audit/PREFIX-AND-INVOICE.json','--out',stageout/out)
+    print('COMPLETE',mode,read(stageout/'ASSEMBLY.json')['kappa_decimal'],flush=True)
+if __name__=='__main__':main()
diff --git a/research/complex-u10-t37/verify.py b/research/complex-u10-t37/verify.py
new file mode 100644
index 0000000000..60b2cc7256
--- /dev/null
+++ b/research/complex-u10-t37/verify.py
@@ -0,0 +1,61 @@
+"""Fresh U10/T37 global replay with complete source-bound PR799 ancestry.
+
+Rebuilds U8 (PR869/870), then U10 (construction/u10: two further triangle-hybrid slots),
+and hosts the U10 locals with PR942's unchanged T37 owner map.
+
+Inherits all mathematical hypotheses of PR890. No optimizer runs.
+Run with Python3.11+, Linux build/scientific dependencies, and a new output
+outside the checkout. The optional baseline must be a full cold799 replay.
+"""
+import argparse,hashlib,json,os,subprocess,sys,time
+from pathlib import Path
+from common import P,ROOT,T21,read,load
+def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest()
+def main():
+    ap=argparse.ArgumentParser(description=__doc__);ap.add_argument('--work',type=Path,required=True);ap.add_argument('--baseline799',type=Path);a=ap.parse_args()
+    pins=load(P/'package.py','t37_package').validate()
+    work=a.work.resolve();assert not work.exists()and not work.is_relative_to(ROOT);work.mkdir(parents=True)
+    baseline=a.baseline799.resolve()if a.baseline799 else work/'baseline799'
+    env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',PYTHONUTF8='1',PYTHONINTMAXSTRDIGITS='0',PYTHON=sys.executable,SW4_FRAME8_PYTHON=sys.executable,T37_WORK=str(work),T37_BASELINE=str(baseline),T37_LOCAL=str(work/'native10/local'))
+    temp=work/'temp';temp.mkdir();env.update(TEMP=str(temp),TMP=str(temp),TMPDIR=str(temp))
+    for k in ('PYTHONOPTIMIZE','WITNESS_DISCOVER','WITNESS_RECORD','WITNESS_SPEC'):env.pop(k,None)
+    stages=[]
+    def run(name,script,*args):
+        log=work/(name+'.log');start=time.monotonic()
+        with log.open('w',encoding='utf-8')as f:r=subprocess.run([sys.executable,'-B',str(script),*map(str,args)],cwd=ROOT,env=env,stdout=f,stderr=subprocess.STDOUT)
+        stages.append(dict(name=name,exit_code=r.returncode,seconds=round(time.monotonic()-start,3),log_sha256=sha(log)))
+        (work/'STAGES.json').write_text(json.dumps(stages,indent=2)+'\n')
+        if r.returncode:raise RuntimeError(name+'\n'+log.read_text(errors='replace')[-5000:])
+        print('PASS',name,stages[-1]['seconds'],flush=True)
+    if a.baseline799 is None:run('baseline799-cold',ROOT/'scripts/verify_frontier799.py','--work',baseline)
+    run('ancestry-coverage',T21/'vendor/pr858/baseline_coverage.py','--ancestor',baseline/'ancestor','--out',work/'ANCESTRY-COVERAGE.json')
+    run('baseline799-binding',ROOT/'scripts/verify_frontier799_bindings.py','--ancestor',baseline/'ancestor','--native',baseline/'native','--global',baseline/'global','--independent',baseline/'INDEPENDENT-LOCAL.json','--price',baseline/'INDEPENDENT-PRICE.json','--out',work/'BASELINE-BINDING.json')
+    run('u8-native',T21/'vendor/pr870/construction/barch/reproduce_barch.py','--main',ROOT,'--pr635',ROOT/'research/complex-sw4-frame8/vendor/pr635','--jx-dir',baseline/'native','--recipe','U8','--out',work/'native')
+    run('u10-native',P/'construction/u10/reproduce_u10.py','--main',ROOT,'--pr635',ROOT/'research/complex-sw4-frame8/vendor/pr635','--u8-word',work/'native/barch/FULL-WORD.json.gz','--out',work/'native10')
+    run('prepare',P/'prepare.py')
+    independent=P/'independent'
+    run('frozen-construction',independent/'verify_construct.py','--out',work/'CONSTRUCTION-CHECK.json')
+    run('independent-owners',independent/'check_t37.py','--word',work/'native10/local/CANONICAL-WORD.json.gz','--local-replay',work/'native10/local/INDEPENDENT-LOCAL-REPLAY.json','--baseline-base',baseline/'global/global/base','--out',work/'INDEPENDENT-OWNERS.json')
+    run('build-parent',work/'adapted/build_parent.py','--base',baseline/'global/global/base','--owners',P/'OWNERS.json.gz','--order',P/'ORDER.json','--out',work/'lift')
+    run('check-parent',work/'adapted/check_parent.py','--source',baseline/'global/global/base/split-centres/GLOBAL-TEMPLATE.json.gz','--parent',work/'lift/GLOBAL-TEMPLATE.json.gz','--out',work/'PARENT-CHECK.json')
+    run('independent-price',independent/'all_t_bound.py','--out',work/'ALL-T-BOUND.json')
+    run('discovery',P/'replay.py','discovery')
+    run('strict',P/'replay.py','strict')
+    run('payload-controls',independent/'check_payload_controls.py','--work',work,'--out',work/'PAYLOAD-CONTROLS.json')
+    run('final-binding',P/'final_binding.py','--work',work,'--baseline',baseline)
+    assembly=read(work/'strict/ASSEMBLY.json');invoice=read(work/'strict/global/audit/PREFIX-AND-INVOICE.json');owner=read(work/'strict/global/audit/OWNERS-AND-PROFILE.json')
+    claim=read(P/'CLAIM.json')
+    assert assembly['kappa_decimal']==claim['kappa_decimal']=='0.001662039077758742'
+    assert assembly['complex_profile']==claim['profile']
+    independent_owner=read(work/'INDEPENDENT-OWNERS.json')
+    for key in ('roles','calls','live','physical','rank_mass','deficit','prefix_bits','idle'):
+        assert independent_owner[key]==claim[key], key
+    assert invoice['charged_prefix_bits']==claim['charged_prefix_bits']
+    assert invoice['finite']['physical_row_coefficient']==claim['physical_row_coefficient']
+    assert invoice['global_prefix_bits']==779 and invoice['charged_prefix_bits']==1024 and invoice['finite']['physical_row_coefficient']==17495
+    assert owner['hosted_residuals']==167832 and owner['live']==33152 and owner['deficit']==11840
+    result=dict(status='PASS_U10_T37_STRICT_WITH_SOURCE_BOUND_ANCESTRY',kappa=assembly['kappa'],kappa_decimal=assembly['kappa_decimal'],cold_baseline=str(baseline),reused_completed_baseline=a.baseline799 is not None,stages=stages,roles=167832,calls=333,prefix_bits=779,charged_prefix_bits=1024,row_coefficient=17495,source_sha256={str(p.relative_to(ROOT)):sha(p)for p in (P/'OWNERS.json.gz',P/'ORDER.json',P/'EDITS.json',P/'prepare.py',P/'replay.py',P/'verify.py')},scope='Finite conditional composition. Independent owner/construction/all-T checks supplement this replay. Inherited all-size/compiler, physical-realization, precision/tape, analytic and bitH1-H5 assumptions remain.')
+    assert read(work/'FINAL-BINDING.json')['pins']==pins, 'Source package changed during replay'
+    result['pins']=pins;result['final_binding_sha256']=sha(work/'FINAL-BINDING.json');result['source_sha256']['research/complex-t37-owners/final_binding.py']=sha(P/'final_binding.py')
+    (work/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n');print(result['status'],result['kappa_decimal'])
+if __name__=='__main__':main()