diff --git a/docs/ci-verification.md b/docs/ci-verification.md
index 494b7ca1d4..3bf623230e 100644
--- a/docs/ci-verification.md
+++ b/docs/ci-verification.md
@@ -1,8 +1,40 @@
 # CI verification
 
-## Current selected-family replay: #4610 with #5241
+## Current selected-family replay: #5413 with #5407 and #5414
 
 The [selected record](../certificates/selected-result.json) binds conditional
+κ = 0.003027288235, the [promotion and scope](research/pr-intake-evidence/pr5413-promotion/PROMOTION.md),
+[explicit source closure](../certificates/frontier5413-source.json),
+[review validation](research/pr-intake-evidence/pr5413-promotion/VALIDATION.json), and
+[integration receipt](research/pr-intake-evidence/pr5413-promotion/INTEGRATION.json).
+
+`make frontier5413-verify` authenticates the selected source manifest, derives
+the certificate from frozen numerical evidence, and exports the complete
+three-package execution closure. It replays #5407's five-stage provider audit,
+#5413's eight-stage admission, and #5414's independent companion screen serially.
+The exported inputs are checked again afterward. Source-bound #4610/#5241 and
+earlier BIT/native/compiler/tape/analytic foundation coverage is explicitly
+reused; its historical suites are not rerun.
+
+Each package runs under an external sampled 1 GiB aggregate descendant-memory
+guard, with timeouts of 660 seconds for the provider and primary packages and
+120 seconds for the companion. On macOS the replay uses the reviewed RLIMIT_AS
+adapter; on Linux it invokes the unmodified package wrappers. The recorded
+successful local macOS replay does not establish a hosted Linux pass.
+
+The [frontier5413 workflow](../.github/workflows/frontier5413.yml) is manual-only,
+uses Python 3.12 on Ubuntu, materializes the declared source closure, and uploads
+receipts and logs. Its status is separate from local validation and recorded in
+the integration receipt. Routine donor PRs do not launch this selected replay.
+
+`make selected-record-check` verifies metadata and source/proof hashes. It does
+not execute the operators or prove the five inherited framework assumptions.
+The finite checks do not establish the full integer multiplication theorem,
+and the uniform word remains unmaterialized.
+
+## Historical selected-family replay: #4610 with #5241
+
+The historical [selected record](../certificates/checkpoints/frontier4610.json) binds conditional
 κ = 0.0030217758, the [review](research/pr-intake-evidence/pr4610/PROOF-REVIEW.md),
 [explicit source closure](../certificates/frontier4610-source.json),
 [review validation](research/pr-intake-evidence/pr4610/VALIDATION.json), and
diff --git a/research/physical-ordinary-interchange/SOURCES.json b/research/physical-ordinary-interchange/SOURCES.json
index 0325458ecf..f0e1877ea7 100644
--- a/research/physical-ordinary-interchange/SOURCES.json
+++ b/research/physical-ordinary-interchange/SOURCES.json
@@ -4,7 +4,7 @@
   "files": [
     {
       "path": "certificates/selected-result.json",
-      "usage": "input",
+      "usage": "provenance",
       "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81",
       "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
     },
diff --git a/research/physical-ordinary-interchange/VERIFY.json b/research/physical-ordinary-interchange/VERIFY.json
index 3aa0949547..d597e66cee 100644
--- a/research/physical-ordinary-interchange/VERIFY.json
+++ b/research/physical-ordinary-interchange/VERIFY.json
@@ -4,7 +4,6 @@
   "python": "3.12",
   "requirements": [],
   "inputs": [
-    "certificates/selected-result.json",
     "research/community-hyperplane599-audit/pr589/bit589/v9/hosted/GLOBAL-TEMPLATE.json.gz",
     "research/community-hyperplane599-audit/pr589/bit589/v9/nine/GEOMETRY.json",
     "research/e8-bit-p111-tuned/tune/EXPECTED.json",
diff --git a/research/physical-ordinary-interchange/inputs/selected-result-pinned.json b/research/physical-ordinary-interchange/inputs/selected-result-pinned.json
new file mode 100644
index 0000000000..b1fea0c944
--- /dev/null
+++ b/research/physical-ordinary-interchange/inputs/selected-result-pinned.json
@@ -0,0 +1,222 @@
+{
+  "status": "Maintainer-reviewed conditional finite construction; see the integration receipt for publication and PR resolution status",
+  "kappa": "836330098538459/500000000000000000",
+  "decimal": "0.001672660197076918",
+  "source_prs": [
+    1094,
+    1087,
+    1082,
+    1074,
+    1068,
+    1065,
+    1063,
+    1061,
+    1056,
+    1055,
+    1053,
+    1050,
+    1042,
+    1031,
+    1028,
+    1022,
+    1018,
+    1005,
+    1004,
+    987,
+    942,
+    890,
+    870,
+    869,
+    858,
+    799,
+    741,
+    699,
+    685,
+    676,
+    664,
+    660,
+    659,
+    656,
+    655,
+    653,
+    658,
+    649,
+    645,
+    635,
+    589,
+    555,
+    545,
+    626,
+    623,
+    622,
+    620,
+    617,
+    615,
+    604,
+    601,
+    596,
+    592,
+    591,
+    593,
+    599,
+    588,
+    543,
+    584,
+    586,
+    583,
+    582,
+    579,
+    576,
+    575,
+    574,
+    571,
+    569,
+    568,
+    567,
+    564,
+    562,
+    561,
+    559,
+    558,
+    552,
+    550,
+    548,
+    541,
+    535,
+    510,
+    503,
+    531,
+    523,
+    493,
+    514,
+    507,
+    484,
+    496,
+    505,
+    522,
+    520,
+    472,
+    458,
+    445,
+    442,
+    425,
+    433,
+    370,
+    361,
+    315
+  ],
+  "source_manifest": "research/community-frontier1094-audit/SELECTED-SOURCE.json",
+  "certificate": "research/community-frontier1094-audit/ASSEMBLY.json",
+  "certificate_sha256": "1122cb3a575f8c788345fc1bf4c108ac7c3250fb81a5988671f5eb04b3ab3045",
+  "proof": "docs/research/community-batch1099-review.md",
+  "proof_supplements": {
+    "research/e8-bit-r420/README.md": "9807be57c6adf26b30e4f54e2f8160075bbc05091f1a6d157e43d2a4620c1c9f",
+    "research/complex-571-free4fc8/NOTICE.md": "a4c084abdc1c7a9ac683eeb11124335d51cff8a6deba6ee92ba5a12bceaa2c97",
+    "research/complex-multicold/proof/CONSTRUCTION.md": "27ece5e1c11b90d97a808b56eff897b998c10e61016db95867f84e6e6aef132f",
+    "research/complex-multicold/vendor/pr559/PROOF.md": "d5d498edc56fdef8c5798af7f5ec66948bd2f66c553b9efe366cdaab01bd3453",
+    "research/structural-gain/frontier-composition/README.md": "70f0f791cbe3b2603f85d85bb9055aa0ee1df6dc06ba82fc1921356948312887",
+    "research/complex-joint-prefix/proof/CONSTRUCTION.md": "a92e610e7a598d99c612d1b63d1a03a49c0cd1e15ddd29fa55c465ddd8c18105",
+    "research/kernel-frame-coalescing/PROOF.md": "fa8b2f36b9590ee80ff45d3f7724f8c7de8ad29a29f366d5133010c77e41fe1b",
+    "research/complex-571-hpeq5/README.md": "4000b37f6c07c09d971dc4010ceb137c13340f3a8809d3272046ccaf746c3e2b",
+    "research/hyperplane-end-lean/PROOF.md": "1cbce5cf0ff0152f71e8ae7bef25841d1ce13010af248ff7209182d2328c21c9",
+    "docs/research/community-hyperplane599-review.md": "3298cd0d451541508af232cac72efbd7c10580e6c6ad493a855ab0faa01ade8c",
+    "research/complex-571-cold14-b3/README.md": "1945785785c153c7d0e8d4c071adabe626c1091b71721ff85d2d67191b376b96",
+    "research/complex-571-cold14-b3/PROOF-NOTE.md": "1cf592cbc8ab8e21d2dd8c1e945a5c64c6d5cde1216fb06e05a36c1c6ec6613d",
+    "scripts/verify_cold617_interface.py": "95d7a9094c05ad975fb72f5ab7605593003245a503c8456764987e512028fa6a",
+    "docs/research/community-cold617-review.md": "b3f2bcbae1249f1f651032022ce1e6e2bfb3f563ce580bf53671f50a074d7046",
+    "research/complex-k492-owner-repair/README.md": "ee5a1ace4828f7a073be97e95c2d931988774dd3a29a877e65abdf429aeec902",
+    "research/complex-k492-owner-repair/PROOF-NOTE.md": "337d70fe7abd9afca1d90954c23bde87f4dc27888cc1a6b4bb80506fd6fbf8c5",
+    "research/complex-k492-owner-repair/PROOF-NOTE-R.md": "22312bb347bdf159e6a01a45c47675e6170d33b258e2fd9ed52aee88fb92c0ed",
+    "docs/research/community-k492-review.md": "3b731d30e80010b15408a289b0b32192700885474c8b36d48ee3320a7a8c5c47",
+    "scripts/verify_frontier626.py": "2207bd0ef04a19ef276869085afdedad80a0938fa75db5e1aa7ab73fd3429444",
+    "scripts/verify_frontier626_bindings.py": "cda63ff41c6d6e2e352c7bf75b84e690c0ce57e4ec6c0355573bb5d9b1f98280",
+    "scripts/verify_frontier588_bindings.py": "6d1932eea7b1936598118ea8e607b09c29b6e31b749ec41bbe0744ea4f0b606d",
+    "scripts/verify_hpe_lean_binding.py": "2fe5aac5828b1fdb79ff5e9ba87faef4db77e0c9339f362a1775b498a6d59e13",
+    "research/hyperplane-end-lean/HyperplaneEnd/Exact.lean": "eebf3a3982af7ab9be45777b272a6aaa523206fa7667ceb6df63ad6589fd8183",
+    "docs/research/community-frontier741-review.md": "4634694fa75ea9e749ecf19d3db3e4d82effe3b61a2efdf08ac5a97275fb676a",
+    "research/complex-sw4-frame8/PROVENANCE.md": "c7648719b01dd93af2c3a2c6e951a54711d13892dc4bd4339d16edb4c37c9bf0",
+    "research/e8-bit-p111-tuned/tune/README.md": "46c7917fb252949f38b7bcd88cf568efc282e3ea065b61d11e457e41673d0b2d",
+    "scripts/verify_frontier741.py": "215ee6a12de8dc2392e6811a1b8f2140035f6b2d2a0d2100ff4bd2fdcb8bb39b",
+    "scripts/verify_frontier741_bindings.py": "eff455167e2fd0bc9a67d35241d0e69d8edc58f3a23e776dcfe8f500ca8e8d67",
+    "docs/research/community-frontier799-review.md": "bd91c10c67f2a873fd456b95cbb43f715a43dac0e0a66938737d591c6b754052",
+    "scripts/verify_frontier799.py": "19fe1b32079095160dc00fe2f7df75e0fcbc82cff37f7159b755c8a63bd5ce99",
+    "scripts/verify_frontier799_bindings.py": "43897b3c99212d6134870898a1840f32898aa1b3679b299e654901568ad7e19b",
+    "research/gauge44-frames-x/PROOF-NOTE-FRAMES-X4.md": "39c50420ebb6e8813706a49b2cf759f277c4afac9f6780fc0a7ac6a5fb86e036",
+    "docs/research/community-frontier890-review.md": "cd03b7c2c6c09db2cfa89ae40133ae44e1deb6e32ec5ddd23aacecc9c50f2fea",
+    "scripts/verify_frontier890.py": "88ea38dbef62dd7c0dd46e212618520cc89213edddb2032800e5509993958175",
+    "scripts/verify_replay_coverage.py": "babe5941d7e6dac4248613ef01f950ee7bb6199e7355021aea4cf854fd1b91c5",
+    "scripts/verify_frontier741_bridge_coverage.py": "9a14f26762b6126eb54ed43db90371773374fe98733ada80ee871a74afa3b836",
+    "certificates/replay-coverage/pr741-sw4-v1.json": "7acd5033bc78e3f473718269edaa267c2785d84fbe95ccf6815a33dcf58c2756",
+    "research/complex-t21-owners/PROOF.md": "78721b32fceb34b21b8e77c95381c38c60276e72e6d9c2e9c6262cb347457def",
+    "research/complex-t21-owner-bound/PROOF.md": "2aa0aa6ec1d87402138564c38749b5ca0f058c16817efdf58a2685d2d90cb417",
+    "research/gauge44-barch/PROOF-NOTE-BARCH.md": "c24f211b09358b25d6cf47dd18e4bbd8bcf4ecf279e6f1c6c90613cfa230818d",
+    "research/complex-double-replica-owners/PROOF.md": "db99599e3966bec253c577c23915e2a2899c4c4e8568044efc11c7918b137bbc",
+    "docs/research/community-batch952-review.md": "04db59dfc2c31453229b6061bbf59547e71ce3abdc0ce0f6779144bb0dde127b",
+    "scripts/verify_frontier942.py": "27c6713532d9f53f55dfff4884d55a2d9ae74b68156e37a44596c0418fbed5b7",
+    "research/complex-t37-owners/PROOF.md": "09b39ad0d5f1f59f54dcff15c16640f7a7acf27e6597660acaf957b95c7e8510",
+    "research/complex-t37-owners/ALL-T-PROOF.md": "4c0c71ccd0afb850538af1b467e5208b7eb3edd0260fded84e02a8c01dfc868b",
+    ".github/workflows/t37-owners.yml": "c13acc2902c007237103072b7ec10caf5ca21c1b319d27934f194af2f7d87026",
+    "docs/research/community-batch1047-review.md": "a6271faf5db0afe3ff7d24a34a3be7a959cdc33ee37784572fba014ee5358787",
+    "scripts/verify_frontier1042.py": "700fdcaeb6e8f57f6e63c71c2dd1652fc5b183e8d706cd092779bdc0d271e854",
+    "docs/research/community-batch1099-review.md": "7e76d2c38e5fce30587835b7251df1430488ae4dd372611ef69a3f03f476b6cb",
+    "scripts/verify_frontier1094.py": "c7e20f59968ed5736fb859735de4de207de3418083e37012310ebcded946b949",
+    "research/community-batch1099-audit/check_frontier1094.py": "2608ef213260a43d09a40b3429742f7a5f280861b54acae66400a7c29a123f51"
+  },
+  "review": "docs/research/community-batch1099-review.md",
+  "validation": "docs/research/community-batch1099-integration.json",
+  "reproduce": "make frontier1094-verify",
+  "scope": "Finite composition under inherited all-size/compiler, common-label/mutable-source, whole-call hosting, precision/tape, analytic and bit H1-H5 assumptions. Not a full Lean multiplication theorem.",
+  "previous_kappa": "1672188119205421/1000000000000000000",
+  "previous_record": "certificates/checkpoints/frontier1042.json",
+  "audited_source_head": "0fc329d0bec93ca7cd288eaea1295172e8789810",
+  "reviewed_dependency_heads": {
+    "588": "6d0e53b66c29abd17981881a09eaff41ac862d85",
+    "543": "2065fe4f72a914d907f1046603f5a36f17018535",
+    "568": "71c99ac935a33bb7b59a1b4a7af8725a939b0b90",
+    "569": "1424da81263a5305b35e4cf74ef686c275f03f3f",
+    "571": "b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3",
+    "575": "eac6f7e378ab622dac50a2fd4b7ef6eab014de44",
+    "583": "89be768f0157f5a3d8e4db69cf1748768605eac9",
+    "586": "4846fee5b06af770e9b3a10c36200f673d656725",
+    "591": "f622547244bf6d895a571a7b035142ba66279806",
+    "592": "1f471c445c06a45a32e2c47e8d74c8264b68356b",
+    "593": "fdb6dcc6d7bc29764c5b6b4d32b7fa050acf74a4",
+    "596": "7732dd5e46863ff294b5e443661cb9d99abf4e01",
+    "599": "bc13c8a3e000442606bd2dbe8583a17649ba6c32",
+    "601": "529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550",
+    "604": "1b795c5d7dea746ba310572585c0ef067574b4a6",
+    "615": "bf8a49a34350599763cced8592db81dc62c2c1c0",
+    "617": "904d62855723c00f8acef9a287a10768598fdeb2",
+    "622": "f69477f4f6d3c7eb1f740b166881bffed4ffa9f6",
+    "623": "e39a615ca601ce5d62abeb24f3fcdb8644ca1005",
+    "626": "660de893d27bb7abd1d5b01b1640207528a5c851",
+    "589": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46",
+    "741": "e516b1463606840a15f80aac1995d64ce0092e89",
+    "799": "80e6463157cfc80b85af09e7e2f14748fe2dac60",
+    "858": "ae2e25fee91540c83ceee5a60e3b07422ce21c7d",
+    "869": "73e86f69bf9a391e3c334999f7bbe3825dc42759",
+    "870": "b734850dc348800942f0ffd1f0723fdec7539b2b",
+    "890": "4b3bd8cbe8e3e81c44161017c9b72c905a8040a8",
+    "942": "1960cfa919a0945d0ca4cb14ea96237000037903",
+    "1004": "1974578f82a30158dd5fcdcdf226b83df8e7196f",
+    "1005": "779e80aef469bc3a28b19f1adde199871a9a22e3",
+    "1018": "eac7547cb191f875d5f5ea5f9bbb1d2b8c51c4ef",
+    "1022": "58618bcbfe88a252467755fc283c04c3db5ca4fd",
+    "1028": "be4bd89cb4483dcee43257200cd27601f938f13d",
+    "1031": "e900534f0beda892c726723524203b97471fb9a3",
+    "1042": "7e8ef087c02a77038a28a337a7ee3a77039cac0d",
+    "1094": "0fc329d0bec93ca7cd288eaea1295172e8789810",
+    "1087": "589d1cedf5ef5f231182f4ec86408616311a8af0",
+    "1082": "0c2e294ec204e83846d27344f829d15ed9ee7cc6",
+    "1074": "052afc128954f7b6a2b3c409eb4d72248e4020f2",
+    "1068": "cc71375eae4e8754da0f5d940cb519d66625fb2e",
+    "1065": "387d935e354a931d636e2c5e6ee63a6910f78a1b",
+    "1063": "d9377d32e0c97e41338e704c3960fd6f2fa73806",
+    "1061": "223f581afb1d63d5f8476a69040617e11bcd50e4",
+    "1056": "d0201efbd68c4acc9832b84bcc986c8781b83c4f",
+    "1055": "a8ea308976f1709eef0a328463f010cf51469277",
+    "1053": "6f92ce8884929c9fd4730c86a28e2e3735de02af",
+    "1050": "c87242f846cfab8c0b97fd889b5fecb0eacef939",
+    "987": "5142511af0437572aca71b35d1987cd2b47bb5e3"
+  }
+}
diff --git a/research/physical-ordinary-interchange/source.py b/research/physical-ordinary-interchange/source.py
index 8594fc62ce..a83aa7a100 100644
--- a/research/physical-ordinary-interchange/source.py
+++ b/research/physical-ordinary-interchange/source.py
@@ -2,6 +2,7 @@
 from hashlib import sha256
 from pathlib import Path, PurePosixPath
 import importlib.util
+import json
 import sys
 import tarfile
 import tempfile
@@ -12,6 +13,13 @@
     "pr2809": "ee1d4ec05e3c872d264be3b38f71a8c153acf37427f5d3ba87f8e15440c9ccf0",
     "pr2808": "2ab59c6d0ad00c001ecbe44090b66871ec3d2c1fdc51daa503109e56f3285cab",
 }
+# The selected record changes whenever the frontier moves; the frozen PR2809 loader
+# authenticates the exact record pinned at this package's base. Serve that pinned
+# copy (same bytes, Git blob b1fea0c9) from a private repository view instead of
+# the live certificates/selected-result.json. Every other declared input is copied
+# unchanged from the working tree and is still authenticated by the loader.
+PINNED_SELECTED = ("inputs/selected-result-pinned.json",
+                   "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129")
 _temporary = None
 _loaded = None
 PROOF_INPUTS = {
@@ -35,6 +43,21 @@ def extract(name, destination):
         source.extractall(destination, filter="data")
 
 
+def repository_view(destination):
+    pinned = (HERE / PINNED_SELECTED[0]).read_bytes()
+    if sha256(pinned).hexdigest() != PINNED_SELECTED[1]:
+        raise ValueError("pinned selected record changed")
+    paths = json.loads((HERE / "VERIFY.json").read_text(encoding="utf-8"))["inputs"]
+    for relative in paths:
+        target = destination / relative
+        target.parent.mkdir(parents=True, exist_ok=True)
+        target.write_bytes((ROOT / relative).read_bytes())
+    target = destination / "certificates/selected-result.json"
+    target.parent.mkdir(parents=True, exist_ok=True)
+    target.write_bytes(pinned)
+    return destination
+
+
 def activate():
     global _temporary, _loaded
     if _loaded is not None:
@@ -54,7 +77,7 @@ def activate():
     loader = importlib.util.module_from_spec(specification)
     sys.modules["loader"] = loader
     specification.loader.exec_module(loader)
-    loader.REPOSITORY = ROOT
+    loader.REPOSITORY = repository_view(root / "repository")
     loader.activate()
     padding = loader.module("padding", root / "pr2808/vendor/pr2786/padding.py")
     outer = loader.module("outer", root / "pr2808/outer.py")