Bound existing-paid complex cross-chart split stock (0% κ change)

docs/ci-verification.md

@@ -1,8 +1,25 @@
 # CI verification
 
-## Current selected-family replay: #6030
+## Current selected-family replay: #7000 with #7001
 
 The [selected record](../certificates/selected-result.json) binds conditional
+κ = 0.00363005817 to the [application review](research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md),
+[validation receipts](research/pr-intake-evidence/pr7000-application/VALIDATION.json),
+and [explicit source closure](../certificates/frontier7000-source.json).
+`make frontier7000-verify` follows that exact-source selected replay. The review
+reuses eleven authenticated preceding executions and records seven fresh serial
+application, scalar and complete native-catalogue executions. The earlier
+monolithic timeout is retained separately and is not completed coverage.
+Consult the receipts for exact commands, source heads and limits.
+
+The five inherited framework assumptions remain. No complete uniform word,
+literal multiplier execution, independent human proof or formal-kernel proof
+is asserted. Routine research submissions do not need to rerun this
+selected-family replay. The sections below preserve historical checkpoints.
+
+## Historical selected-family replay: #6030
+
+The [historical checkpoint](../certificates/checkpoints/frontier6030.json) binds conditional
 κ = 0.003125804 to the [proof review](research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md),
 [validation receipts](research/pr-intake-evidence/pr6030-audit/VALIDATION.json),
 and [explicit source closure](../certificates/frontier6030-source.json).

research/p104-paid-cross-chart-stock/AUDIT.json

@@ -0,0 +1,30 @@
+{
+  "copy_guard_seen_at_literal_cut": 33770,
+  "down_edges": 24,
+  "independent_combined_rank9_layers": {
+    "1": 202,
+    "2": 141,
+    "3": 100,
+    "4": 96
+  },
+  "independently_bounded_raw_margin": [
+    "-19018361404367722759082431/10000000000000000000000000",
+    "-1901836140436772275908243/1000000000000000000000000"
+  ],
+  "independently_tested_pairs": 128,
+  "paid_total": 110519,
+  "pairings_containing_copy_guard": 0,
+  "pending_priced_at_ideal": 73,
+  "pins": {
+    "public/caller/CALLER.json": "255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc",
+    "public/native/RESULT.json": "59080d75e7281b1a8c1353930917fd15869ad747ff4200948898f78f11c14089",
+    "public/native/WORD.json.gz": "c1caec11ca3ee264ef03018dd91037eac10c3e28950c4c525ee1b4bf5ee210e2",
+    "round11/frontier/independent_adapter_price.py": "2a46157d156bdfc0e892289005fd3fb7c23708de48c9abd90c1914b0372bc726",
+    "round18/complex/audit_stock.py": "e942cbf0e3844e2180827a1598c31bb54f31b87d8b2dbcc52ca315f1b81c5c80",
+    "round19/complex/TRANSPORT.json": "7aadcb3209d419679effde42b53fae846dd1681e192bbeb103a75b74032276dc"
+  },
+  "productive_targets": 22427,
+  "reverse_reach_endpoint_pairs": 3916,
+  "stages": 17,
+  "status": "PASS_EVERY_CONTACT_REVERSE_REACHABILITY_INVOICE_AND_OWNER_PRICE"
+}

research/p104-paid-cross-chart-stock/LICENSE

@@ -0,0 +1,201 @@
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research/p104-paid-cross-chart-stock/NOTICE

@@ -0,0 +1,17 @@
+This scoped complex split-stock calculation and its packaging are Apache-2.0.
+OpenAI Codex and subagents materially assisted the derivation and replay audit.
+
+The exact native WORD.json.gz and RESULT.json are from Clear1nsight #7161 at
+e3f8d39c43b07063dfc5b800f71c5d21015259e6. The original contribution notice is
+preserved without changes in NOTICE-7161.
+
+The exact signed CALLER.json is Rohan Arun #7113's expected/ODD-TYPE-AB-CALLER.json
+at 07a76c5e2738882c0cb322278e56f6cae3c9885d. Its original Apache-2.0 license is
+included as LICENSE. All three exact public input blobs are identified in SOURCES.tsv.
+
+The byte-preserved local dependencies retain the Round 11 independent directed
+price engine, Round 13 primary price decoder, and both Round 18 coefficient and
+stock audits in the #7111 investigation. Round 19 supplied the exact MOVE
+census, alias/cross-chart capacity bound, signed coefficient tests, and split
+stock invoice. Nick Petalas #7208 supplied the related fixed-line transport
+floor, under its own input and endpoint contract.

research/p104-paid-cross-chart-stock/NOTICE-7161

@@ -0,0 +1,14 @@
+Prepared for Clear1nsight with substantial OpenAI Codex and ChatGPT Pro
+assistance. New work is Apache-2.0.
+
+Rohan Arun supplied the exact #7156 word, its directed supplier/caller
+application, and the signed #7113 caller. His #7142 charged an input
+boundary for a different split. Ali Romman supplied the causal-history
+owned-buffer identity. Jerry Chen / CubeJerry supplied contact-free
+retiming and temporal verification. Matarener supplied the helper
+kernels. dillona supplied the temporal constructor, chart-595 source and
+scalar-width work. ToikY supplied the pricing engines and earlier chart
+leads. The #7155 composition and guarded suffix retain their authors.
+Douglas Colkitt and the #7000/#7001 reviewers supplied the retained
+all-width application and fixed-tape proof. All original source credits,
+licenses and notices remain in the authenticated #7156 archive.

research/p104-paid-cross-chart-stock/ORDERED-PROOF.md

@@ -0,0 +1,68 @@
+# Ordered-chart transport cut
+
+We sharpen the [predecessor bound](PROOF.md) on #7161 scientific head
+`e3f8d39c43b07063dfc5b800f71c5d21015259e6` and #7113 caller
+`07a76c5e2738882c0cb322278e56f6cae3c9885d`. The comparable complete witness
+is κ = 0.003644890067940 at live #7161 head
+`7a607733a114689a60179898ab5ec9e30561daac`. The target is
+`10018846261809/2500000000000000`. No new κ is certified.
+
+## Rank proof
+
+Fix an allowed positive column multiplicity and write V for one complete
+payload space. Each of m selected transport lanes starts and ends in distinct
+canonical spans of the same rank. Its independent arbitrary V-valued
+payload must be returned to the designated destination. Restricted to these
+payloads, the transfer is the identity I. Set the outgoing value at each of
+the D descending paid MOVEs to zero, obtaining a transfer M₀. The difference
+I−M₀ factors through at most D copies of V. Feed the D discrepancies at the
+cut events into the downstream chronological network. All other gate laws
+are the same and the error propagation is linear. Side information and
+arbitrary coframed coding are allowed.
+
+Choose a total order of canonical spans within each rank. Keep the lanes
+whose source precedes their destination. Reversing each rank's order keeps
+the complementary lanes. One choice therefore keeps at least m/2 lanes,
+including repeated endpoint pairs and distinct owners. Restrict the input
+and output to that same selection. With the descents zeroed, rank never
+decreases along a path, so M₀ is block triangular in rank order. Within a
+rank, a path stays in its canonical span. Order the equal-rank lanes by
+source chart. A nonzero block from lane j to lane i requires the source
+chart of j to equal the destination chart of i. This is later than the
+source chart of i, so the equal-rank block of M₀ is strictly upper
+triangular. Thus the restricted I−M₀ has full rank, at least (m/2) dim V.
+Consequently m ≤ 2D. The old native word has D = 24 and m ≤ 48.
+
+The factor two is attained in the abstract cut model. Ascend two equal-rank
+charts' payloads x and y to a common upper chart, form x+y, descend once to a
+common lower chart, and use two ascents to return the sum to both source
+charts. Each subtracts its own side information to obtain the other payload.
+This attainer concerns the abstract cut.
+
+## Directed whole-construction price
+
+Use the unchanged census of 6,279 MOVEs and the 128 exact coefficient
+checks on 24 descending edges and 104 direct chart classes. All 73 pending
+classes retain their ideal coframed capacity. The audit independently
+derives 3,916 chronological distinct-span equal-rank endpoint pairs and
+reconstructs all 110,519 paid positions and 22,427 productive targets of the
+17-stage caller.
+
+For each rank-nine price layer, count the union of owners available in any
+pending direct chart, then add at most 48 of the remaining transportable
+owners. This grants incompatible simultaneous choices and counts each owner
+at most once in a layer. The four layer maxima are 154, 93, 52, and 48.
+Give all 483 smaller owners their best allowed ideal split once. The
+directed saving upper is
+`592730639798561378905288647/5000000000000000000000000`. The exact directed
+net upper is `-54927837478005033828434093/2500000000000000000000000`.
+The ordered cut lowers the predecessor net upper from about −1.90184
+to −21.97113.
+
+The audit verifies the triangular pattern on all 64 loopless simple
+three-chart digraphs in all six orders, plus parallel lanes and a
+same-chart loop rejection. The written argument supplies the general
+claim. Changed scalar chronology, cross-stage traffic, new recursive calls,
+larger MOVE payloads, same-chart detours and rank redistribution are outside
+this cut. #7208 bounds the fixed-line permutation preprocessing contract
+with no preloaded copies and fixed public frames.