Conditional κ = 9.5464544449649·10⁻⁴: Sussman's E8 complex unit re-timed by far piece relocation, in #375's unsplit B₃ (+0.042 % over #375)

.gitattributes

@@ -18,3 +18,5 @@ research/coordinated-frames-and-entrance-banks/** -text -whitespace
 # Frozen PR210 package and round-nine evidence retain their audited bytes.
 research/five-stage-source527-banks/** -text -whitespace
 research/community-round9-audit/** -text -whitespace
+# E8 complex unit with far piece relocation (e8st): MANIFEST.sha256 and the git-blob pins fix exact bytes (Sussman gx.py keeps its original whitespace).
+research/e8-complex-far-retiming/** -text -whitespace

.github/workflows/e8-complex-far-retiming.yml

@@ -0,0 +1,37 @@
+name: e8-complex-far-retiming
+
+on:
+  pull_request:
+    paths:
+      - 'research/e8-complex-far-retiming/**'
+      - '.github/workflows/e8-complex-far-retiming.yml'
+  push:
+    paths:
+      - 'research/e8-complex-far-retiming/**'
+      - '.github/workflows/e8-complex-far-retiming.yml'
+  workflow_dispatch:
+
+permissions:
+  contents: read
+
+jobs:
+  verify:
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    strategy:
+      fail-fast: false
+      matrix:
+        python-version: ['3.12', '3.14']
+    steps:
+      - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7
+        with:
+          persist-credentials: false
+      - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7
+        with:
+          python-version: ${{ matrix.python-version }}
+      - name: Quick verification (manifest, pins, Sussman's checkers, operator identity, layout, kappa)
+        run: bash research/e8-complex-far-retiming/verify.sh --quick "$RUNNER_TEMP/e8st-quick"
+      - name: Full verification (adds the regeneration of the certificate from Sussman's original)
+        run: bash research/e8-complex-far-retiming/verify.sh "$RUNNER_TEMP/e8st-full"
+      - name: Require an unchanged tree
+        run: git diff --exit-code

certificates/joint-dual-kappa.json

@@ -842,7 +842,7 @@
     "scripts/experiments/pin_joint_dual_sources.py": "4d31cc0e38b7902709ca5f8f714cba109760d2592346dd7f8dc0b900a2d9fe00",
     "scripts/experiments/verify_joint_dual.py": "7a31bba1e9c0ded32ae285df2ca9bc91ef20c330f6789fdba361876f3c7a1985"
   },
-  "source_manifest_sha256": "4f3c15b82a2d97335d4fe95fb8bcb96bd2a921087da289d9da16c68213a17f17",
+  "source_manifest_sha256": "698fe862a620e5b80b85fbc6034c9456fa0fa9aea638dbbbcb3f9edd24c0415e",
   "sources": [
     {
       "files": {

certificates/joint-dual-validation.json

@@ -226,7 +226,7 @@
     }
   },
   "bit_saving": "2382370177/50000000000000",
-  "certificate_sha256": "9801147b1502cf1e43d5fa39aa37f5291f03b48c30c4dd4f272e0877894a1c24",
+  "certificate_sha256": "6f684fa7f747073a132e8d0b5652cf12a8afa389f2a16ff6ade8e080d786dd22",
   "kappa": "4764513337/100000000000000",
   "margins": 7,
   "producer_words_regenerated_and_matched": true,

research/e8-complex-far-retiming/LICENSE

@@ -0,0 +1,201 @@
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research/e8-complex-far-retiming/MANIFEST.sha256

@@ -0,0 +1,27 @@
+c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4  LICENSE
+b4d2d9f6ed3419a56e76cc36bcab5059993c4853532401b56e4e77a8455d0f93  NOTICE.md
+7caa44d8318c0f94ffb86b8be454eb55e0e38544e84611b5622e243d925cea76  PROOF.md
+a36178b70a075b3fcc07b274ae9ffc2fddfbf2588984c6e154471f2a5a912b3f  README.md
+97b461509656798d30b2610b4755ce825b1f84ae8772b9b4efd5c84d7404385b  code/cxcheck.py
+316cbf7d7c777e1fbe8a5d5fb249f0970b591330f4c2769c6827965a0e9c1adf  code/cxfar.py
+7b2afb0be9591c72d31d7fbcce4e2d45bbe09daf7caa21123bca050b92cd2882  code/cxfinal.py
+8fc2a43e70fa8c1ce3f3025c9568b562accc5cf25b2ed53d7c0a1cbf954a0599  code/cxkernel.py
+2655e1e9ec94fb39512329ec86d261959ccd7c635c7535238f254a82861c2db1  code/cxop.py
+1c78b3025203c802c3aab9cc4113c48a7357d582f5bc75c47bde7953787f2e82  code/cxpiece.py
+e7e06595c12fbafb707a6846719c54b85e0c2bb105927e7e7ee20f028a37438b  code/cxretime.py
+9f6c0718f371120b015733983b3c91285a3825d306b557f0b9013059c6c88b0e  code/cxsplit.py
+1cb286196c1530d06f50f0997febc5993b388f33464e295611b920ba30a24eeb  code/e8core.py
+aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098  code/engines/base_two_moment.py
+81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482  code/engines/moment.py
+c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c  code/engines/outer.py
+bd2c7d5bf546babf4700de802f9f49b45e8da0b3e75edcb4a5dfed914d186c6e  code/kappa.py
+e650d16538db8d80495fda5109cdfa0775e1d5f3b56b0aa39e5c1efc660877e7  code/layout_bk.py
+c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4  complex/LICENSE-wht-power-saving-lean
+557c9ad4660eebd14a00583736c4d12d2c45f3fc9bc148845f9f3efec72c9434  complex/NOTICE-wht-power-saving-lean
+4b92f00fc7454b9b15e6d71a3b05062792eacca0a0ca4efee46f87827d57c8aa  complex/gcert1-e8-r783.json.gz
+6f3dc8bb639933227a8dae181ec4a542e85c7276be9c9e330f49518e7b630b95  complex/gx/gx.py
+eb972c06fe8c322db2d9a8d9a7d05596e8f40c4ca8e5f42eb6df3c7361b5d517  complex/gx/gxcore.py
+1fb726ea3818fe0837cceb0dd22a71a0814f064e5e781628104610d6468e0e55  data/bit/bitE8-r865.json.gz
+f2664ee7bcdfb55893abe9f1be8ee6a394a602e8262e611de2a0328bbd508aa7  data/gcert1-e8-r783-far.json.gz
+0643931a5c713c5861e462ba8397acbaf5d5fd366e0a0d1506fd06b8aa6e324c  lean/LEAN-B2-E8FR.txt
+42811ea3cb74d0132699e6ba6b2ada81527d69f8e654d6a94fbccf6d9c0b2cd8  verify.sh

research/e8-complex-far-retiming/NOTICE.md

@@ -0,0 +1,21 @@
+# Notice
+
+Apache-2.0 (`LICENSE`). Prepared by Chafik Boukhalfa (chafreaky) with substantial Anthropic Claude assistance.
+
+- `complex/gcert1-e8-r783.json.gz`, `complex/gx/gx.py`, `complex/gx/gxcore.py`: Jacob Sussman,
+  jacobalansussman/wht-power-saving-lean at `9c94857`, Apache-2.0. The bytes are identical (by git blob id) to the copies vendored in
+  DaysSky's #363/#375 and aliromman's #365. The upstream LICENSE and NOTICE are kept as `complex/LICENSE-wht-power-saving-lean`
+  and `complex/NOTICE-wht-power-saving-lean`.
+- `data/gcert1-e8-r783-far.json.gz`: this package's certificate, derived from Sussman's by `code/cxfar.py` and `code/cxfinal.py`.
+  It keeps his format, and its `derived_from` field records the derivation.
+- `data/bit/bitE8-r865.json.gz`: utcorvusvolat-dotcom's (Dylan Crow) #370 E8 bit word, byte-identical to #370's and #373's
+  `data/bit` (Apache-2.0).
+- `code/engines/moment.py`, `base_two_moment.py`, `outer.py`: PR #315's engines (DreamingOfClouds; eumemic; the #144/#23
+  lineage), as vendored in our #329/#359 packages.
+- `code/layout_bk.py`: our reimplementation of DaysSky's B_K rule (#363), on Sussman's B₂ and stage geometry. #363's `bridged.py` was read as data
+  and not run.
+- `code/e8core.py`, `cxcheck.py`, `cxop.py`, `kappa.py`, `cxretime.py`, `cxsplit.py`, `cxpiece.py`, `cxfar.py`, `cxfinal.py`,
+  `cxkernel.py`: our own code. The retiming and reorder mechanisms follow our #329/#359 stage lineage (#287/#291/#299/#306), and
+  aliromman's #365 is generalised (read as data, not run). `cxkernel.py` also holds the exterior-gauge kernel census, which is
+  unprofitable on this unit, together with the helpers it shares with the search (`rehist`, `price`).
+- PR #375's halving-degree-two guard (DaysSky) is cited, not vendored.