Conditional κ = 0.001730970419199163702738 (+1.614e-7 over #4076): receiver sharing on the staged T360 supplier

.gitattributes

@@ -184,3 +184,14 @@ research/rank7-joint-endframes-restore-edit/** -text -whitespace
 research/pr1-retention-receipt/inputs/** -text -whitespace
 
 research/rank-shape-coframe-bill-seed850bc3/sources/pr3066-RESULT.json -text
+
+# Preserve the submitted continuation and its two frozen outer dependencies.
+research/kappa-next-regime/** -text -whitespace
+research/kappa-adaptive-continuation/evidence/full-release/admission/package/outer/*.py -text -whitespace
+
+# Exact source/evidence closure of the submitted operator-repair continuation.
+research/kappa-operator-repair/** -text -whitespace
+research/kappa-adaptive-continuation/** -text -whitespace
+research/kappa-1745-continuation/** -text -whitespace
+research/kappa-global-continuation/** -text -whitespace
+research/kappa-boundary-continuation/** -text -whitespace

research/kappa-1745-continuation/CLAIM.json

@@ -0,0 +1,150 @@
+{
+  "bit_supplier": {
+    "ROW": 18355,
+    "actual_prefix_bits": 880,
+    "actual_two_level_bits": 1800,
+    "binding_sha256": "88c84088263813185899a6392b04d801a1e1e649309090320086add782bd73a2",
+    "charged_prefix_bits": 896,
+    "charged_two_level_bits": 1856,
+    "complete_profile": {
+      "1": 418950,
+      "2": 433104,
+      "3": 24885,
+      "4": 30975,
+      "42": 441,
+      "5": 28350,
+      "6": 21840,
+      "7": 28980
+    },
+    "forward_prefix_bound": 49281,
+    "gain_over_previous_BIT_lower": "1289344965542582107/1000000000000000000000000",
+    "gain_over_previous_BIT_lower_decimal": "0.000001289344965542582107",
+    "gap_to_target": "6862811670654631573/1000000000000000000000000",
+    "gap_to_target_decimal": "0.000006862811670654631573",
+    "helpers_per_call": 437,
+    "local_calls": 315,
+    "local_profile": {
+      "1": 1330,
+      "2": 1327,
+      "3": 79,
+      "4": 49,
+      "5": 90,
+      "6": 20,
+      "7": 18
+    },
+    "lower": "1738137188329345368427/1000000000000000000000000",
+    "lower_decimal": "0.001738137188329345368427",
+    "m": 64,
+    "paid_requests": 987525,
+    "physical_families": 31089,
+    "previous_BIT_gap_closed_percent": "15.815998429392675796822759949856985451884058772558584807364763504348777810576121703026847988893108428407507228",
+    "previous_valid_BIT_lower": "21710598042047534829/12500000000000000000000",
+    "productive_families": 31080,
+    "rank_mass": 1977885,
+    "raw_deficit": 11235,
+    "replicas": 35,
+    "reverse_prefix_bound": 1052208,
+    "status": "COMPLETE_FINITE_WORD_AND_CONDITIONAL_PRICE_CHECKED",
+    "template_content_sha256": "3106ca655ac51aea273f6af98b1bbe045cbe553242b393cdc320996681b8d1cd",
+    "upper": "434534297082336342107/250000000000000000000000",
+    "upper_decimal": "0.001738137188329345368428",
+    "word_content_sha256": "f84bdf9b2d4e8758584e3a4759519acc2307e3723fb23568bb7ed4fde617a908",
+    "word_gzip_sha256": "defa63c0864f1f52cb0a1eb0d6c2b56f7d3a3b5542c8038082447aec2e810c2e",
+    "word_path": "research/kappa-1745-continuation/bit-word/early-birth-prefixes/WORD.json.gz"
+  },
+  "canonical_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90",
+  "complex_supplier": {
+    "gap_to_target": "14260219701642678381/1000000000000000000000000",
+    "gap_to_target_decimal": "0.000014260219701642678381",
+    "lower": "1730739780298357321619/1000000000000000000000000",
+    "lower_decimal": "0.001730739780298357321619",
+    "native_and_physical_release_reexecuted_this_turn": false,
+    "scope": "The valid receiver-sharing predecessor and its inherited all-size hypotheses; none of the invalid idle-axis overlays is used.",
+    "source_claim": "research/kappa-adaptive-continuation/CLAIM.json",
+    "source_invoice": "research/kappa-adaptive-continuation/global-budget/receiver-sharing/RESULT.json",
+    "status": "RETAINED_VALID_PREDECESSOR",
+    "upper": "86536989014917866081/50000000000000000000000",
+    "upper_decimal": "0.00173073978029835732162"
+  },
+  "evidence_sha256": {
+    "bit-geometry/ACHIEVED-BIT-CLOCK-REPRICE.json": "4655110db1d25c0ef58ee67d0ecd1a09cf0fe3136cdd0714f3db92b93ccd32b1",
+    "bit-geometry/BIT-FINAL-INDEPENDENT-REVIEW.json": "0c584d3edf752e08b105d22f95169021b410139ffcf90cb15ee68c1a4d253bca",
+    "bit-geometry/FINAL-ENTRANCE-CLOSURE.json": "604b715cdc0fe5c899a295439c4c18d6269cece0d45ac426c610ba4dbf2285e1",
+    "bit-geometry/LARGER-PAIR-BUDGET.json": "82ec052e3135cc9054eca0bafbc26b555692a968080b3e121f5f77125920a998",
+    "bit-integration/FINAL-NATIVE-EXECUTION.json": "e72158c3df65be05084df1292694845e13116867196d1308ec5f1b016da913d9",
+    "bit-integration/FINAL-NATIVE-REVIEW.json": "26014a6af1c7a3530ff03fefa545f45fd46783967e717a0c759f5965e8ddab39",
+    "bit-integration/FINAL-PHYSICAL-PROBE.json": "da4aec1ef324548f56221a9fc1fae4201cb0be8b513ca80774f078580d3d816b",
+    "bit-integration/FINAL-WHOLE-WORD.json": "7da24d45b55c098d2d6e55562c430bb296f34a4445c4469b3d70df8ea5e3cdd8",
+    "bit-integration/early-birth-prefixes/RESULT.json": "4c01502c01614ea94f3c5f4e63ec0358e5c3a7ea8414148a04052157408eb0ae",
+    "bit-word/CURRENT.json": "4c78effab2a15361396e269e168cbf1b454167dad1ff6f258bc811628e39c6be",
+    "bit-word/early-birth-prefixes/RESULT.json": "f0993e6b5164b345b3eb25189fd08caa953449bab4d800d70cf0fd4430af7097",
+    "complex-birth/REVIEW.json": "c6d129e58071baa13cbf41076026794aff309b2cd460886c579226fc4a498d57",
+    "complex-controller/REVIEW.json": "73855cae12af8aa2203dbd2f9b7c2cf9456acf447a6750ef9b7b3a12270ff8d1",
+    "complex/CELLMAP-INVARIANCE.json": "32a10aff786f3a673ca19ef5189c98e8a2a32708a0dc73a47eeee2bd44fd100b",
+    "complex/SLOT-PROJECTOR-RIGIDITY.json": "3d3484162446a813aaf52d09afc3543545ff88fa1c2a23a72734340999867990",
+    "complex/TARGET-BUDGET.json": "d0d777eb4da44fa9d09af5fa28c6f5f19fe38c970cceec9aabbe63badcb4e918",
+    "operator-audit/FRESH-REPLAY.json": "b49837299ab84b9f4ea945314b507a641de2d57750d2a58ebadfe4489e2dae2a",
+    "operator-audit/INDEPENDENT-WITNESS.json": "6abeea9ee02a7ff70f6a360323e8c20b9db1bf75d2dbf245a2ea78f6e0f1bffd",
+    "operator-audit/RIGIDITY-REVIEW.json": "f46e90f2a29a5e0ee55c49163c0f1a593054d3fee7ff2564a7b1a61d38c210b9"
+  },
+  "finite_bit_gain_certified": true,
+  "formal_kernel_acceptance": false,
+  "independent_human_review": false,
+  "inherited_hypotheses": [
+    "Native packet, chart preparation, recursive-D and all-size source interfaces for the changed R437 word.",
+    "Actual physical primitive realization, stock and precision/recovery interfaces beyond the controlled finite protocol.",
+    "Applicability of the retained bad-event and compiler tariff to the changed source-bound word.",
+    "Five-replica pooled helper ownership and finite coefficient invoices extend through the retained recursive construction.",
+    "Valid receiver-sharing complex source and its native/physical/all-size hypotheses.",
+    "Fine-prime-padding, gauge-free, stopped-supplier and outer-composition theorems."
+  ],
+  "maintainer_admitted": false,
+  "new_combined_kappa": false,
+  "prior_complex_claim": {
+    "invalid_arithmetic_endpoint_decimal": ".0017411725885452521674224",
+    "reason": "Fresh unchanged PR4046 operator replay and an independent dense Gaussian-integer counterexample against the actual previous MOVES. Cell-to-axis permutations do not repair the literal T740 chronology.",
+    "superseded_combined_claim": "research/kappa-next-regime/CLAIM.json",
+    "supported": false,
+    "witness": "research/kappa-1745-continuation/operator-audit/INDEPENDENT-WITNESS.json"
+  },
+  "retained_conditional_kappa": {
+    "binding_supplier": "complex",
+    "decimal": "0.0017307397802983573216189999999999999999999998999999999999999999999999",
+    "formula": "min(valid_BIT_lower,valid_complex_lower)-10^-46-10^-70",
+    "new_gain_claimed": false,
+    "outer_loss": "1000000000000000000000001/10000000000000000000000000000000000000000000000000000000000000000000000",
+    "value": "17307397802983573216189999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000"
+  },
+  "schema_version": 1,
+  "scope": "A stronger valid finite BIT construction and corrected conditional accounting. The requested0.001745 target is not reached. Scoped obstructions and failed construction searches are not general impossibility results.",
+  "source_sha256": {
+    "research/kappa-1745-continuation/bit-word/early-birth-prefixes/WORD.json.gz": "defa63c0864f1f52cb0a1eb0d6c2b56f7d3a3b5542c8038082447aec2e810c2e",
+    "research/kappa-1745-continuation/build_claim.py": "1d568bb23d7207cb586a63e94f9445ba9df3fbc5c4196c15f20e30d52df6729b",
+    "research/kappa-adaptive-continuation/CLAIM.json": "c4d596904a6b3c5b86adf8341a795e2c58b7001505ab2b5e0182dbd3cf807c98",
+    "research/kappa-adaptive-continuation/global-budget/receiver-sharing/RESULT.json": "b80932118ec8d252715028a2fc5d22e71e28072928ffda89b5587821d4fc42bd",
+    "research/kappa-next-regime/CLAIM.json": "45bb0f2dabd5ad5b5c9a8efb47c9b1692b90dea4ebc2f37003beb6a1f6b55da0"
+  },
+  "status": "PARTIAL_VALID_BIT_GAIN_TARGET_NOT_REACHED",
+  "strictly_exceed_required": true,
+  "target": "349/200000",
+  "target_decimal": ".001745",
+  "target_reached": false,
+  "unconditional_multiplication_theorem": false,
+  "verification": {
+    "changed_paths_in_final_review": 37,
+    "complete_GL64_physical_execution": false,
+    "independent_native_gauge_identities": 141,
+    "independent_rational_price_implementations": 3,
+    "local_columns_per_direction": 659,
+    "native_five_stage_columns": 881,
+    "native_requests": 987525,
+    "owner_pairs": 196658,
+    "physical_calls": 2,
+    "physical_controlled_payload_bits": 46,
+    "physical_rejecting_controls": 7,
+    "physical_returns": 2,
+    "rational_frames": 758,
+    "symbolic_XORs": 7563465,
+    "symbolic_checkpoints": 29
+  }
+}

research/kappa-1745-continuation/ENVIRONMENT.json

@@ -0,0 +1,12 @@
+{
+  "core_replay": "Python standard library; assertions enabled; no -O; fresh output directory outside source repository",
+  "external_network_needed_for_core_replay": false,
+  "implementation": "CPython",
+  "machine": "x86_64",
+  "platform": "Linux-6.18.55-x86_64-with-glibc2.39",
+  "python": "3.12.14 (main, Aug 25 2026, 14:00:49) [Clang 22.1.3 ]",
+  "search_libraries": {
+    "numpy": "2.3.5",
+    "scipy": "1.17.0"
+  }
+}