diff --git a/research/jp8-compensation-batching/CANDIDATE.json b/research/jp8-compensation-batching/CANDIDATE.json
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diff --git a/research/jp8-compensation-batching/CLAIM.md b/research/jp8-compensation-batching/CLAIM.md
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+# Sprint claim
+
+- Track: complex supplier; OS-random assignment seed **27** (Python `secrets.randbelow(100)`). Odd seed selects JP8 rather than CK.
+- Exact base: `66849e1475c930fd7732b1a0067ffee7e1e95f60`.
+- Selected result: #626 with #543, conditional kappa 0.001635527380375392. Larger pending PR titles are not accepted frontiers.
+- Start: 2026-10-13 05:22 UTC (October 12, 10:22 p.m. Pacific).
+- Finish target: 2026-10-13 06:55 UTC (October 12, 11:55 p.m. Pacific); stop experimentation by 06:32 UTC for verification/handoff.
+
+## Three narrow candidates
+
+1. JP8 B-phase frame reassignment with fixed boundary frames (related to CK #698; risks duplicating an adjacent finite-domain census).
+2. CK cleanup dependency-preserving source grouping followed by coefficient reuse (related to #719/#750/#769; more involved dependency and prefix proof).
+3. **Chosen:** commute the selected JP8's 8,800 zero-frame compensation additions to batch same-source coefficient preparations. Targets and sources are disjoint, so this is a rectangular additive panel with no source writes. Retain the selected native circuit and price an executable local lowering, including source access, scaling, accumulation and clearing. Check both orientations and exact prefix envelopes. No kappa claim.
+
+## Method and bounded domain
+
+Read the pinned #626 JP8 canonical word and local programs. Validate all compensation gates, target/source disjointness and the exact location/frame of the panel. Group its entire finite domain by source and coefficient magnitude; consider a bounded dyadic coefficient route per source. Prove the commutation/substitution identities, recount both complete local programs, and provide exact scalar checks and negative controls. No search over new helpers, frames, recursive calls, owner allocations or pending record constructions.
+
+Expected deliverable: one isolated research construction package with verifier, exact receipt, source pins, scoped proof/cost note, independent checks and attribution.
+
+## Coordination and overlap
+
+GitHub GraphQL reported no pinned issue; the open issue list contains only #650 (Discussions). Claim recorded locally as instructed. The live queue refresh at selection covered 591 open PRs through #772. Relevant #698, #719, #696, #722, #734, #739, #749, #750, #755 and #769 were inspected. In particular, #739/#769 reuse coefficient work while preserving update order; #755 shares consecutive same-source magnitudes in all scalar phases; #749 changes and restores the target basis. This task explicitly changes the commuting compensation order to enable cross-target batching without a target basis change. No pending code is imported and no additive saving with concurrent work is assumed.
+
+Prepared for @Varun-Mittal-1001 with substantial OpenAI Codex assistance. New work is Apache-2.0. Delegated checks stay within this compensation-batching scope.
+
+## Result update
+
+Completed one finite circuit contribution, submitted as
+[draft PR #793](https://github.com/CrocSwap/integer-mult-bounds/pull/793).
+Implementation commit: `11926e043b0419cf1534981d89b57cb4ca1ea6b3`.
+The source-grouped compensation saves **80,150 forward / 81,464 backward**
+real-component primitives; complete local bounds become 177,082 / 175,816.
+Exact full scalar maps, all 492 dirty-helper outputs, private clearing and
+the recorded 64/101-bit prefix envelopes are preserved. No new kappa is claimed.
+
+Full primitive replay, the separate integer/dyadic checker and the unchanged
+native scalar/frame/wrapper replay pass: ten new construction controls,
+twelve independent controls and 25 existing native controls reject.
+Optimized execution, minimal relocation, different gzip packaging,
+source bindings, selected-record verification and lint/whitespace checks pass.
+See `VALIDATION.md` for scope and unrun checks.
+
+The final pre-submission refresh covered 607 open PRs through #788 and
+confirmed upstream main still equals the base. Newly arrived #786 and #787
+were inspected and credited in the README/PR; their center and cleanup
+mechanisms differ from this compensation reordering. No pinned issue exists.
+At submission the PR is open and draft, with no completed GitHub checks
+reported. No merge, frontier edit or modification of others' PRs was made.
diff --git a/research/jp8-compensation-batching/EXPECTED.json b/research/jp8-compensation-batching/EXPECTED.json
new file mode 100644
index 0000000000..fd03e04a84
--- /dev/null
+++ b/research/jp8-compensation-batching/EXPECTED.json
@@ -0,0 +1,695 @@
+{
+  "status": "PASS_JP8_COMPENSATION_BATCHING",
+  "orientations": {
+    "forward": {
+      "panel_events": [
+        169,
+        8969
+      ],
+      "panel_additions": 8800,
+      "source_groups": 266,
+      "before": {
+        "real_primitives": 257232,
+        "prefix_l1_upper": "4536094588619580433782972610869617/281474976710656",
+        "prefix_bits_upper": 64,
+        "columns": 725
+      },
+      "after": {
+        "real_primitives": 177082,
+        "prefix_l1_upper": "4536094588619580433782972610869617/281474976710656",
+        "prefix_bits_upper": 64,
+        "columns": 725
+      },
+      "real_primitives_saved": 80150,
+      "panel_real_primitives_before": 100272,
+      "panel_real_primitives_after": 20122,
+      "candidate_sha256": "e82a7a6753f22fdfca815b2680ae659746ccf518f72bb23fde80c48bd1bcdd37",
+      "blocks": [
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+        {"source":["L",217],"required_quarters":[1,2],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[7426,7427,7428,7429,7430,7431,7432,7433,7442,7451,7460,7469,7478,7487,7496,7505,7506,7507,7508,7509,7510,7511,7512,7513,7514,7515,7516,7517,7518,7519,7520,7521,7522,7523,7434,7435,7436,7437,7438,7439,7440,7441,7443,7444,7445,7446,7447,7448,7449,7450,7452,7453,7454,7455,7456,7457,7458,7459,7461,7462,7463,7464,7465,7466,7467,7468,7470,7471,7472,7473,7474,7475,7476,7477,7479,7480,7481,7482,7483,7484,7485,7486,7488,7489,7490,7491,7492,7493,7494,7495,7497,7498,7499,7500,7501,7502,7503,7504],"primitive_start":8762,"primitive_stop":8865,"preparation_and_clear":5},
+        {"source":["L",218],"required_quarters":[1,2],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[7524,7525,7526,7527,7528,7529,7538,7547,7556,7565,7574,7583,7592,7601,7602,7603,7604,7605,7606,7607,7608,7609,7610,7611,7612,7613,7614,7615,7616,7617,7530,7531,7532,7533,7534,7535,7536,7537,7539,7540,7541,7542,7543,7544,7545,7546,7548,7549,7550,7551,7552,7553,7554,7555,7557,7558,7559,7560,7561,7562,7563,7564,7566,7567,7568,7569,7570,7571,7572,7573,7575,7576,7577,7578,7579,7580,7581,7582,7584,7585,7586,7587,7588,7589,7590,7591,7593,7594,7595,7596,7597,7598,7599,7600],"primitive_start":8865,"primitive_stop":8964,"preparation_and_clear":5},
+        {"source":["L",219],"required_quarters":[1,2,4],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[5421,5452,5423,5431,5437,5440,5449,5450,5451,5453,5454,5455,5456,5457,5458,5472,5474,5485,5422,5424,5425,5426,5427,5428,5429,5430,5432,5433,5434,5435,5436,5438,5439,5441,5442,5443,5444,5445,5446,5447,5448,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5473,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5486,5487,5488,5489],"primitive_start":8964,"primitive_stop":9038,"preparation_and_clear":5},
+        {"source":["L",220],"required_quarters":[1,2,4],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[8517,8521,8525,8541,8544,8545,8546,8547,8548,8549,8550,8551,8552,8553,8554,8555,8556,8562,8563,8577,8579,8518,8519,8520,8522,8523,8524,8526,8527,8528,8529,8530,8531,8532,8533,8534,8535,8536,8537,8538,8539,8540,8542,8543,8557,8558,8559,8560,8561,8564,8565,8566,8567,8568,8569,8570,8571,8572,8573,8574,8575,8576,8578,8580,8581,8582,8583,8584,8585,8586,8587,8588],"primitive_start":9038,"primitive_stop":9115,"preparation_and_clear":5},
+        {"source":["L",221],"required_quarters":[1,2,3],"route":[["add",4],["halve",2],["halve",1],["sub",-3]],"original_indices":[8661,8665,8681,8684,8685,8686,8687,8688,8689,8690,8691,8692,8693,8694,8700,8701,8715,8717,8723,8724,8725,8726,8727,8728,8658,8659,8660,8662,8663,8664,8666,8667,8668,8669,8670,8671,8672,8673,8674,8676,8677,8678,8680,8682,8695,8696,8697,8698,8699,8702,8703,8704,8705,8706,8707,8708,8709,8710,8711,8712,8713,8714,8716,8718,8719,8720,8721,8722,8729,8730,8731,8732,8675,8679,8683],"primitive_start":9115,"primitive_stop":9196,"preparation_and_clear":6},
+        {"source":["L",222],"required_quarters":[1,2],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[4296,4297,4298,4299,4300,4335,4337,4339,4344,4346,4348,4353,4355,4357,4362,4364,4366,4371,4373,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,4388,4389,4390,4391,4392,4393,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,4334,4336,4338,4340,4341,4342,4343,4345,4347,4349,4350,4351,4352,4354,4356,4358,4359,4360,4361,4363,4365,4367,4368,4369,4370,4372,4374],"primitive_start":9196,"primitive_stop":9299,"preparation_and_clear":5},
+        {"source":["L",223],"required_quarters":[1,2],"route":[["add",4],["halve",2],["halve",1]],"original_indices":[3894,3895,3896,3897,3898,3933,3935,3937,3942,3944,3946,3951,3953,3955,3960,3962,3964,3969,3971,3973,3974,3975,3976,3977,3978,3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,3992,3993,3899,3900,3901,3902,3903,3904,3905,3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,3922,3923,3924,3925,3926,3927,3928,3929,3930,3931,3932,3934,3936,3938,3939,3940,3941,3943,3945,3947,3948,3949,3950,3952,3954,3956,3957,3958,3959,3961,3963,3965,3966,3967,3968,3970,3972],"primitive_start":9299,"primitive_stop":9404,"preparation_and_clear":5}
+      ],
+      "paid_profile": {
+        "1": 2512,
+        "2": 400,
+        "3": 448,
+        "4": 160,
+        "5": 70,
+        "6": 8,
+        "8": 8
+      },
+      "unchanged_nonpanel_events_sha256": "91150a9a79ad84d59b523d32f894c8a1ab1e0eff480f23e41449810e645420fc"
+    }
+  },
+  "controls_rejected": [
+    "missing_initial_clear",
+    "missing_final_clear",
+    "wrong_accumulation_sign",
+    "omitted_target_update",
+    "write_to_source",
+    "wrong_dyadic_step",
+    "prefix_only_inflation",
+    "nonzero_frame",
+    "cross_precondition_boundary",
+    "forward_panel_used_backward"
+  ],
+  "route_table": {
+    "1": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ]
+    ],
+    "2": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ]
+    ],
+    "3": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ]
+    ],
+    "4": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "5": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "6": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "7": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "8": [
+      [
+        "add",
+        4
+      ]
+    ],
+    "9": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ]
+    ],
+    "10": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ]
+    ],
+    "11": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ]
+    ],
+    "12": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "13": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "14": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ],
+    "15": [
+      [
+        "add",
+        4
+      ],
+      [
+        "halve",
+        2
+      ],
+      [
+        "halve",
+        1
+      ],
+      [
+        "sub",
+        -3
+      ]
+    ]
+  }
+}
diff --git a/research/jp8-compensation-batching/INDEPENDENT.json b/research/jp8-compensation-batching/INDEPENDENT.json
new file mode 100644
index 0000000000..2aaf2f880b
--- /dev/null
+++ b/research/jp8-compensation-batching/INDEPENDENT.json
@@ -0,0 +1,124 @@
+{
+  "both_pinned_local_program_slices_match_canonical": true,
+  "candidate_sha256": "07091c912f11fe548a6314ec41ac93865b034cfa66fe737bc4808dab38a43bf8",
+  "canonical_compensation_gates": 8800,
+  "inherited_payload_sha256": {
+    "CANONICAL-WORD.json.gz": "fb4a8d14ed2a8048698bea6ae16f86163a1aa6c80f2eb622222eee5cdbce9b3b",
+    "LOCAL-PROGRAMS.json.gz": "efe45ce7fb025a6f53cc9eb54e951ac2211a5ed927e689a049e4f68ca680654b"
+  },
+  "local_event_slice": {
+    "start_inclusive": 169,
+    "stop_exclusive": 8969
+  },
+  "negative_controls_rejected": [
+    {
+      "name": "forward:changed_accumulation_sign",
+      "rejection": "endpoint mismatch at ('L', 118), independent input column 224"
+    },
+    {
+      "name": "forward:omitted_accumulation",
+      "rejection": "endpoint mismatch at ('L', 118), independent input column 224"
+    },
+    {
+      "name": "forward:missing_initial_clear",
+      "rejection": "endpoint mismatch at ('L', 118), independent input column 716"
+    },
+    {
+      "name": "forward:missing_final_clear",
+      "rejection": "endpoint mismatch at ('W', 0), independent input column 592"
+    },
+    {
+      "name": "forward:write_to_unchanged_source",
+      "rejection": "write outside compensation targets at 10061"
+    },
+    {
+      "name": "forward:same_endpoint_excessive_prefix",
+      "rejection": "exact primitive prefix exceeds declared cap"
+    },
+    {
+      "name": "backward:changed_accumulation_sign",
+      "rejection": "endpoint mismatch at ('L', 226), independent input column 112"
+    },
+    {
+      "name": "backward:omitted_accumulation",
+      "rejection": "endpoint mismatch at ('L', 226), independent input column 112"
+    },
+    {
+      "name": "backward:missing_initial_clear",
+      "rejection": "endpoint mismatch at ('L', 226), independent input column 716"
+    },
+    {
+      "name": "backward:missing_final_clear",
+      "rejection": "endpoint mismatch at ('W', 0), independent input column 223"
+    },
+    {
+      "name": "backward:write_to_unchanged_source",
+      "rejection": "write outside compensation targets at 9404"
+    },
+    {
+      "name": "backward:same_endpoint_excessive_prefix",
+      "rejection": "exact primitive prefix exceeds declared cap"
+    }
+  ],
+  "orientations": {
+    "backward": {
+      "arbitrary_L_inputs": 716,
+      "arbitrary_destination_input_preserved": true,
+      "endpoint_matrix_sha256": "78f02dd58f74b48d24d10edcb17718cc25a3060115bedb04ddbcc8129edc5f91",
+      "exact_columns": 717,
+      "exact_prefix_l1": {
+        "denominator": 1,
+        "numerator": 39
+      },
+      "prefix_witness": {
+        "primitive_index": 9308,
+        "register": [
+          "L",
+          333
+        ]
+      },
+      "primitive_histogram": {
+        "add": 8956,
+        "clear": 224,
+        "scale": 224
+      },
+      "private_exit_zero": true,
+      "private_input_column_removed": true,
+      "real_component_primitives": 18808,
+      "single_coordinate_primitives": 9404,
+      "unchanged_source_rows": 112,
+      "unchanged_spectator_rows": 450
+    },
+    "forward": {
+      "arbitrary_L_inputs": 716,
+      "arbitrary_destination_input_preserved": true,
+      "endpoint_matrix_sha256": "d846231618a8b8e045ec37b2fd887a98ad97cd0304af170f1c50ee18dbd95835",
+      "exact_columns": 717,
+      "exact_prefix_l1": {
+        "denominator": 1,
+        "numerator": 41
+      },
+      "prefix_witness": {
+        "primitive_index": 9934,
+        "register": [
+          "L",
+          149
+        ]
+      },
+      "primitive_histogram": {
+        "add": 9085,
+        "clear": 532,
+        "scale": 444
+      },
+      "private_exit_zero": true,
+      "private_input_column_removed": true,
+      "real_component_primitives": 20122,
+      "single_coordinate_primitives": 10061,
+      "unchanged_source_rows": 266,
+      "unchanged_spectator_rows": 604
+    }
+  },
+  "scope": "Exact frame-zero compensation substitution on arbitrary L inputs and arbitrary private W entry; W exits zero. The backward panel is I-K^T. Remaining local phases, recursive costs, routing and kappa are outside this checker.",
+  "source_target_disjointness": true,
+  "status": "PASS_INDEPENDENT_INTEGER_DYADIC_COMPENSATION_CHECK"
+}
diff --git a/research/jp8-compensation-batching/NATIVE.json b/research/jp8-compensation-batching/NATIVE.json
new file mode 100644
index 0000000000..5bf208a0ac
--- /dev/null
+++ b/research/jp8-compensation-batching/NATIVE.json
@@ -0,0 +1,128 @@
+{
+  "status": "PASS_UNCHANGED_NATIVE_COMPENSATION_REPLAY",
+  "source_pins_semantic_sha256": "7092e08c1dc0e7348862dba6b7a6d5e494c549dbcfc759c1f7cf47e078dc5912",
+  "input_canonical_semantic_sha256": "fb4a8d14ed2a8048698bea6ae16f86163a1aa6c80f2eb622222eee5cdbce9b3b",
+  "reordered_canonical_semantic_sha256": "d0a2166fb9ba0147330005ef2047e20a6a863cc81b976f9cfc0e1f4b6d2bc974",
+  "compensation_additions": 8800,
+  "forward_permutation_sha256": "5a5783b52b02e034b0673fa77f460f75c89587319f64f2721631f5c3f6601232",
+  "independent_backward_permutation_sha256": "a4f236469af7a4b7a3876d30bdbc8a75c71f957ac70f8d074f2beb0f084a4e73",
+  "native_backward_uses_forward_permutation": true,
+  "primitive_backward_permutation_differs": true,
+  "all_compensation_registers_at_frame_zero": true,
+  "compensation_touches_no_residual_wrappers": true,
+  "child_assertions_enabled": true,
+  "orientations": {
+    "forward": {
+      "program_semantic_sha256": "22ebd5f5cdb9a6888a5e1f3ed6a9235e9bbdf0503ffbed858593e013a25fed8b",
+      "nonpanel_events_sha256": "d3003c0d857de2275d07c207e1d0315c1407568b93517e73b681c1a3263107f6",
+      "panel_events": [
+        169,
+        8969
+      ],
+      "macro_checks": {
+        "sha256": "22ebd5f5cdb9a6888a5e1f3ed6a9235e9bbdf0503ffbed858593e013a25fed8b",
+        "events": 27909,
+        "scalar_macros": 22693,
+        "real_component_primitive_bound": 257232,
+        "paid_profile": {
+          "1": 2512,
+          "2": 400,
+          "3": 448,
+          "4": 160,
+          "5": 70,
+          "6": 8,
+          "8": 8
+        },
+        "all_columns": 716,
+        "private_centers_cleared": true,
+        "private_coefficient_stream_cleared_after_each_macro": true
+      },
+      "native_replay": {
+        "all_exact_columns": 716,
+        "prefix_l1_upper": "4536094588619580433782972610869617/281474976710656",
+        "prefix_bits_upper": 64,
+        "charged_payload_bits": 192,
+        "private_work_erased": true
+      },
+      "paid_profile": {
+        "1": 2512,
+        "4": 160,
+        "8": 8,
+        "3": 448,
+        "2": 400,
+        "5": 70,
+        "6": 8
+      }
+    },
+    "backward": {
+      "program_semantic_sha256": "4d63d33c9b2640417763f65e4d4f2f479b63b9e3d3f4c2afd4d84e4dbdae9d2e",
+      "nonpanel_events_sha256": "91150a9a79ad84d59b523d32f894c8a1ab1e0eff480f23e41449810e645420fc",
+      "panel_events": [
+        169,
+        8969
+      ],
+      "macro_checks": {
+        "sha256": "4d63d33c9b2640417763f65e4d4f2f479b63b9e3d3f4c2afd4d84e4dbdae9d2e",
+        "events": 27909,
+        "scalar_macros": 22693,
+        "real_component_primitive_bound": 257280,
+        "paid_profile": {
+          "1": 2512,
+          "2": 400,
+          "3": 448,
+          "4": 160,
+          "5": 70,
+          "6": 8,
+          "8": 8
+        },
+        "all_columns": 716,
+        "private_centers_cleared": true,
+        "private_coefficient_stream_cleared_after_each_macro": true
+      },
+      "native_replay": {
+        "all_exact_columns": 716,
+        "prefix_l1_upper": "16753412757380464429924108070201913461/8388608",
+        "prefix_bits_upper": 101,
+        "charged_payload_bits": 192,
+        "private_work_erased": true
+      },
+      "paid_profile": {
+        "1": 2512,
+        "4": 160,
+        "8": 8,
+        "3": 448,
+        "2": 400,
+        "5": 70,
+        "6": 8
+      }
+    }
+  },
+  "native_controls_rejected": [
+    "wrong_scale",
+    "missing_center",
+    "wrong_common_frame",
+    "wrong_child_rank",
+    "missing_pre_wrapper",
+    "missing_post_wrapper",
+    "wrapper_with_wrong_frame",
+    "wrapper_in_wrong_phase",
+    "wrapper_on_a_data_register",
+    "wrapper_on_a_target_register",
+    "wrapper_on_a_centre_register",
+    "hpe_pre_wrapper_resolved_to_full_recipe",
+    "hpe_post_wrapper_without_terminal_frame",
+    "hpe_post_wrapper_wrong_terminal_frame",
+    "hpe_tail_gate_at_full_frame",
+    "hpe_tail_climb_dropped",
+    "hpe_helper_exit_adapter_to_full",
+    "hpe_tail_gate_moved_into_full_cleanup",
+    "cold_hpe_pre_wrapper_replaced_by_identity_entry_adapter",
+    "cold_hpe_pre_wrapper_dropped",
+    "cold_hpe_post_wrapper_replaced_by_exit_adapter",
+    "cold_hpe_pre_wrapper_resolved_to_cold_full_convention",
+    "cold_hpe_wrapper_with_nonzero_entrance",
+    "cold_hpe_post_wrapper_wrong_terminal_frame",
+    "cold_hpe_premix_gate_before_pre_wrapper"
+  ],
+  "scope": "Unchanged pinned emitter and native scalar/frame/wrapper checker on the forward-reordered canonical compensation. Native backward macros retain the dual of this forward order; the candidate backward primitive program uses its separately checked source permutation of the same commuting panel. This does not admit the primitive lowering into a global invoice."
+}
diff --git a/research/jp8-compensation-batching/NOTICE.md b/research/jp8-compensation-batching/NOTICE.md
new file mode 100644
index 0000000000..5ca537df8e
--- /dev/null
+++ b/research/jp8-compensation-batching/NOTICE.md
@@ -0,0 +1,31 @@
+# Attribution and license
+
+Prepared for **Varun Mittal (@Varun-Mittal-1001)** with substantial
+**OpenAI Codex assistance**. Codex wrote the implementation, research note
+and verification tools. Separate Codex workers supplied the mathematical
+check/proof, the integer/dyadic checker and an adversarial review. These are
+separate AI implementations and reviews, not independent human review.
+New files are licensed under the repository's Apache-2.0 license.
+
+This work uses the selected #626 source package by Chafik Boukhalfa
+(@chafreaky), on Jeremy Kothe's #622/#623 K-triangle construction and
+allocation lineage. The native emitter and checker retain icekylinx's
+direct-delivery and scalar-emission work, DreamingOfClouds' cold-helper,
+hyperplane-end and wrapper work, Dominik Scholz's prefix contributions,
+jon314159's joint-prefix contribution, and the predecessor notices in
+`research/complex-k492-owner-repair/NOTICE.md`. The retained #543 bit
+supplier is eumemic's work. Rohan Arun's recurrence correction, Dugongue's
+verification work and all retained upstream contributor/license notices
+remain applicable.
+
+Related pending contributions are credited as research context, not as
+accepted dependencies: @ellipsi2's #722 equal-magnitude sharing,
+@namredips' #739 rescaling, @taizaki69's #755 all-phase reuse,
+@24kHandsome1201's #769 CK ladders, and @theon199's #749 restored
+compensation basis. #696/#723/#734 separately lower individual scalar
+macros. No code from these pending PRs is copied or vendored here, and no
+priority claim is made for coefficient sharing or rescaling as a mechanism.
+
+The exact inherited files consumed by this package are pinned in
+`SOURCES.json`; their original notices remain in place. The new statement
+is the source-grouped compensation circuit and its scoped exact evidence.
diff --git a/research/jp8-compensation-batching/PROOF.md b/research/jp8-compensation-batching/PROOF.md
new file mode 100644
index 0000000000..a6374d1744
--- /dev/null
+++ b/research/jp8-compensation-batching/PROOF.md
@@ -0,0 +1,184 @@
+# JP8 frame-zero compensation batching
+
+This is a finite replacement of one scalar panel of the selected PR626 JP8
+supplier. It reduces an executable local primitive bound; it does not change
+the native supplier, certify a new global invoice, or claim a new kappa.
+Prepared for Varun-Mittal-1001 with substantial OpenAI Codex assistance.
+
+## Pinned interface and admissible region
+
+The input is the JP8 `CANONICAL-WORD.json.gz` and `LOCAL-PROGRAMS.json.gz`
+under `research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8`
+at base `66849e1475c930fd7732b1a0067ffee7e1e95f60`. The inherited emitter is
+`research/complex-k492-owner-repair/code/hpe_emit_local.py`; its independent
+scalar/frame checker is the adjacent `hpe_audit_local.py`.
+
+The canonical compensation is exactly 8,800 dyadic additions, each at frame
+0 (the empty binary frame). Its destination set is exactly `112..223`; its
+266 sources are a subset of `224..592`. These sets are disjoint. Every
+referenced register starts at frame 0 and none has a residual wrapper. The
+8,800 ordered destination/source pairs are distinct. The absolute
+coefficient census is:
+
+| Magnitude | Additions |
+|---|---:|
+| 1 | 144 |
+| 1/2 | 2,832 |
+| 1/4 | 5,596 |
+| 3/4 | 228 |
+
+The replacement occupies precisely the compensation interval after all 168
+precondition gates and before `entry_adapters`. It neither moves a gate
+across those boundaries nor changes any adapter, climb, center, A/B gate,
+cleanup gate, helper allocation, or frame label. One private coefficient
+stream is used at frame 0 and is cleared at both ends of each source group.
+This is the coefficient-work slot already permitted by the inherited
+lowering, not an additional helper or recursive call.
+
+## Commutation and inverse-transpose orientation
+
+Write an addition as `T(t,s,q) = I + q E_ts`. If `t,u` are destinations and
+`s,v` are sources, disjointness gives `E_ts E_uv = E_uv E_ts = 0`.
+Consequently every pair commutes, and their product is exactly
+`I + sum q E_ts`, independently of order. This argument uses arbitrary
+initial values in all 716 native registers, including dirty helpers.
+
+The inherited backward orientation replaces every addition by
+`T(s,t,-q)` in the same chronological event order. This is the
+inverse-transpose convention: for a chronological product
+`P = G_m ... G_1`, its inverse transpose is
+`P^(-T) = G_m^(-T) ... G_1^(-T)`. Reversing the chronological list again
+would be incorrect in the surrounding noncommuting program.
+
+The backward compensation is again a disjoint rectangular panel, now with
+112 sources and 266 destinations. It is grouped independently by its
+actual sources after transposition. Reusing the forward grouping as a
+backward source grouping would be invalid. Within either panel the same
+commutation proof applies.
+
+## Fully charged one-stream lowering
+
+For one source `S`, let `W` be the sole private coefficient stream. Each
+listed operation costs one real-component primitive: clear, add/subtract
+the unchanged source, double, halve, or add/subtract `W` into a destination.
+The route starts and ends with a charged clear of `W`. Negative values of
+`W` are allowed; a destination's update sign is adjusted accordingly.
+
+For all four required magnitudes, the preparation route is
+
+```
+clear W
+W += S             # W = S; serve magnitude 1
+W /= 2             # W = S/2; serve magnitude 1/2
+W /= 2             # W = S/4; serve magnitude 1/4
+W -= S             # W = -3S/4; serve magnitude 3/4 with reversed signs
+clear W
+```
+
+Only destination updates required at a visited magnitude are emitted.
+Every one of the 8,800 destination updates is charged separately. Source
+access in both `W += S` and `W -= S` is charged. Both clears are charged,
+even though the preceding group also ended with a clear. There is no free
+scalar multiplication, sign change, materialization, accumulation, or
+clearing. Each complex operation is charged twice, for its real and
+imaginary components. At every preparation step `W = lambda S` with
+`|lambda| <= 1`; no mutable native source is used as work storage.
+
+The bounded route search, when used, has state `(k, visited_mask)` for
+`W = (k/4) S`, integer `-4 <= k <= 4`. It starts at `(0,0)`. Its unit-cost
+transitions are `k -> k+4`, `k -> k-4`, `k -> 2k`, and `k -> k/2` when
+the new state remains in the interval and halving has even `k`. The mask
+records requested absolute magnitudes visited. Destination updates do not
+change this state. Breadth-first search through this finite graph finds
+the least preparation length in this stated class; the two mandatory
+clears and all destination updates are then added to its cost. It is not
+a claim of optimality among all arithmetic circuits or cross-source
+reuse policies.
+
+For the magnitude sets that actually occur, minimal preparation lengths
+also have a direct proof. The first nonzero state must be `+4` or `-4`.
+Reaching magnitude 2 requires a second step; reaching magnitude 1 requires
+a third. If magnitude 3 is also required, a fourth step is necessary and
+is attained by `4,2,1,-3`. Thus the routes below attain the bounded-class
+minimum without relying on a search solver.
+
+| Requested magnitudes | Forward groups | Backward groups | Preparation steps | Clears |
+|---|---:|---:|---:|---:|
+| 1/2 | 70 | 0 | 2 | 2 |
+| 1/4 | 72 | 0 | 3 | 2 |
+| 1/4, 1/2 | 82 | 46 | 3 | 2 |
+| 1/2, 1 | 18 | 0 | 2 | 2 |
+| 1/4, 1/2, 1 | 5 | 22 | 3 | 2 |
+| 1/4, 1/2, 3/4 | 0 | 21 | 4 | 2 |
+| 1/4, 1/2, 3/4, 1 | 19 | 23 | 4 | 2 |
+
+## Boundary equality and prefix allowance
+
+At a visited coefficient `lambda`, a requested update `t += q S` is
+implemented by `t += sign(q/lambda) W`, because
+`|q| = |lambda|`. The source is never written, so this substitution is
+valid throughout the group. After the last update `W` is erased. Applying
+this identity to each update, followed by the panel commutation identity,
+proves the same complete native-register boundary map. The unchanged
+suffix therefore yields the inherited complete local map in both
+orientations.
+
+Equality of endpoint matrices alone would not control intermediate
+growth. Let `b_r` be the inherited nonnegative, cancellation-free row
+envelope at compensation entry. Sources are fixed throughout the panel.
+For every destination, the exit envelope is exactly
+
+```
+b_t(exit) = b_t(entry) + sum_(updates to t) |q| b_s(entry).
+```
+
+Every reordered prefix contains a subset of these nonnegative summands,
+so it is bounded by that same exit envelope. Every private-work prefix
+has the exact invariant `W = lambda S`, with `|lambda| <= 1`, hence its
+row norm is bounded by `b_s(entry)`. This uses the exact invariant at
+`W -= S`: blindly applying a triangle inequality to that work instruction
+would give `5 b_s/4`, an unnecessary overestimate of the actual `3 b_s/4`.
+No such cancellation is assumed for destination accumulations.
+
+The recomputed maximum source-entry envelopes are 1 forward and 4
+backward. The panel's complete positive exit envelopes have maxima 42
+forward and 125 backward. These are independent of the panel's order.
+The unchanged remainder starts with exactly its inherited native envelope;
+the coefficient slot is clear. Thus the original full-local bounds
+
+```
+forward:  4536094588619580433782972610869617 / 281474976710656
+backward: 16753412757380464429924108070201913461 / 8388608
+```
+
+remain valid. Their inherited bit bounds are respectively 64 and 101,
+both below the charged 192-bit local payload allowance. Literal primitive
+replay and all-column equality provide separate executable checks of the
+replacement, including every work-register prefix and final erasure.
+
+## Exact local accounting and scope
+
+The inherited `primitive_bound` charges a dyadic addition with absolute
+reduced numerator `a` and power-of-two denominator `b` as
+`3 + (bit_length(a)-1) + popcount(a) + (bit_length(b)-1)` primitives per
+real component. This is the fixed binary-Horner macro with preparation,
+signed accumulation, and clearing. It prices the four panel magnitudes
+at 4, 5, 6, and 8 respectively. The original panel bound is therefore
+`2*(144*4 + 2832*5 + 5596*6 + 228*8) = 100272`.
+
+| Real-component primitive bound | Forward | Backward |
+|---|---:|---:|
+| Inherited complete local program | 257,232 | 257,280 |
+| Inherited compensation panel | 100,272 | 100,272 |
+| Batched preparation plus clears, before factor 2 | 1,261 | 604 |
+| Batched complete panel, including 8,800 accumulations | 20,122 | 18,808 |
+| Replacement complete local bound | 177,082 | 175,816 |
+| Reduction in the inherited bound | 80,150 | 81,464 |
+
+The unchanged paid profile is
+`{1:2512, 2:400, 3:448, 4:160, 5:70, 6:8, 8:8}`. These are local
+scalar-lowering savings with unchanged recursive geometry. They are not
+additive with another pending lowering of the same instructions, are not
+an update to PR626's admitted global cost constants, and do not by
+themselves establish a larger kappa, an unconditional integer-multiplication
+theorem, a new all-size compiler contract, or a practical speedup.
diff --git a/research/jp8-compensation-batching/README.md b/research/jp8-compensation-batching/README.md
new file mode 100644
index 0000000000..4b2939515b
--- /dev/null
+++ b/research/jp8-compensation-batching/README.md
@@ -0,0 +1,141 @@
+# Batch the selected JP8 compensation by source
+
+**Research construction: 80,150 fewer forward and 81,464 fewer backward
+real-component primitives; no new kappa.**
+
+The selected #626 JP8 program prepares coefficients separately for 8,800
+frame-zero compensation additions. Their sources and destinations are
+disjoint, so every addition in this panel commutes. Reordering by source
+lets one private stream supply every requested coefficient magnitude to
+all its destinations before clearing. The backward orientation is grouped
+separately after transposition.
+
+| Complete local scalar program | Selected bound | Replacement bound | Saved |
+|---|---:|---:|---:|
+| Forward | 257,232 | 177,082 | 80,150 |
+| Backward / inverse-transpose | 257,280 | 175,816 | 81,464 |
+
+Every source access, signed accumulation, doubling/halving and initial/final
+clear is charged. The implementation uses the existing single coefficient
+work stream. Exact full-local prefix bounds remain **64 and 101 bits**,
+within the inherited 192-bit allowance. These are finite operation counts,
+not wall-clock speedups. Helpers, recursive children and their paid profile
+remain unchanged.
+
+## Reproduce
+
+From the repository root at the pinned base plus this package, Python 3.11+
+and its standard library are sufficient:
+
+```sh
+python3 -I -B research/jp8-compensation-batching/verify.py
+```
+
+Expected final line:
+
+```text
+PASS_JP8_COMPENSATION_BATCHING additions=8800 saved=80150,81464 columns=716+9 controls=10
+```
+
+The command checks source pins and the selected SPEC bindings, reconstructs
+both literal primitive panels, reproduces the committed candidate and
+receipt, and executes both complete scalar projections on all **716 native
+plus nine arbitrary private input columns**. It verifies both full shear
+endpoints, dirty-helper restoration, private clearing, exact costs and
+the unchanged prefix bounds. Ten controls include wrong signs, omitted
+updates, missing clears, source writes, phase crossing and an unchanged
+endpoint with excessive work-register growth.
+
+The separate integer/dyadic implementation imports no construction code:
+
+```sh
+python3 -I -B research/jp8-compensation-batching/independent.py
+```
+
+It prints `PASS_INDEPENDENT_INTEGER_DYADIC_COMPENSATION_CHECK` in its JSON
+receipt, verifies both panel matrices on **717 columns**, counts every
+primitive, measures exact isolated-panel prefixes, and rejects twelve
+additional controls. Its prefix measurement starts with independent panel
+inputs; the full-program prefix check is in `verify.py`. The preserved
+receipt is [INDEPENDENT.json](INDEPENDENT.json).
+
+For the native scalar/frame/wrapper replay, choose a new scratch directory:
+
+```sh
+python3 -I -B research/jp8-compensation-batching/native_replay.py --output /tmp/jp8-native-batching
+```
+
+Expected final line:
+`PASS_UNCHANGED_NATIVE_COMPENSATION_REPLAY columns=716 controls=25`.
+The unchanged inherited emitter and auditor check the forward-reordered
+canonical word and its dual. The primitive backward panel uses a different
+source permutation, checked independently above. This native replay checks
+the legal macro reordering; it does not integrate the new primitive lowering
+or admit a changed global invoice. Its semantic receipt is [NATIVE.json](NATIVE.json).
+
+Use `verify.py --write /path/to/new-output` to regenerate the candidate and
+receipt explicitly. Normal verification reads files without changing them.
+Compressed inherited artifacts are pinned by decompressed payload, so
+recompression does not invalidate mathematical equality.
+
+## Evidence and bounded search
+
+- [PROOF.md](PROOF.md): commutation, inverse-transpose convention, one-stream
+  substitution, complete cost and prefix argument.
+- [CANDIDATE.json](CANDIDATE.json): executable forward/backward primitive panels.
+- [EXPECTED.json](EXPECTED.json): every source group, its original gate indices,
+  route, primitive interval and complete local recount.
+- [SOURCES.json](SOURCES.json): exact source pins, including the selected SPEC.
+- [CLAIM.md](CLAIM.md): assignment seed, alternatives, scope and overlap checks.
+- [NOTICE.md](NOTICE.md): predecessor credit and AI-assistance disclosure.
+- [VALIDATION.md](VALIDATION.md): completed checks and unrun suites.
+
+OS-random assignment seed **27** selected the complex track and, by parity,
+JP8. There is no randomized mathematical search. For each of 266 forward
+and 112 backward source groups, breadth-first search uses states
+`(k, visited magnitudes)`, with `-4 <= k <= 4` and coefficient `k/4`.
+It stops at the first shortest route visiting every requested magnitude;
+all 15 nonempty magnitude subsets are also recorded. The permitted steps
+are signed unit source reads, doubling and exact halving within the grid.
+Every requested target update and both boundary clears are added to that
+cost. The direct lower bound for the occurring sets is in the proof.
+This is complete coverage of this finite route class, not an optimum over
+general arithmetic circuits, other grids or cross-source reuse.
+
+## Provenance, differences from concurrent work, and limits
+
+Exact base: `66849e1475c930fd7732b1a0067ffee7e1e95f60`.
+Selected #626 source: `660de893d27bb7abd1d5b01b1640207528a5c851`;
+#622 construction: `f69477f4f6d3c7eb1f740b166881bffed4ffa9f6`.
+The retained #543 bit supplier and full accepted source lineage are
+identified by the unchanged selected record. Its conditional kappa remains
+**0.001635527380375392**.
+
+Concurrent [#722](https://github.com/CrocSwap/integer-mult-bounds/pull/722),
+[#739](https://github.com/CrocSwap/integer-mult-bounds/pull/739),
+[#755](https://github.com/CrocSwap/integer-mult-bounds/pull/755) and
+[#769](https://github.com/CrocSwap/integer-mult-bounds/pull/769) are credited
+for sharing coefficient work within the existing update order. This package
+changes the commuting compensation order to share across targets. It also
+uses a signed bounded route for the `3/4` coefficient.
+[#749](https://github.com/CrocSwap/integer-mult-bounds/pull/749) instead
+changes and restores the target basis, reducing the number of compensation
+additions. No pending implementation is imported, and these savings are
+not asserted additive with any of those contributions.
+
+The final overlap scan also inspected
+[#787](https://github.com/CrocSwap/integer-mult-bounds/pull/787), which
+composes individual-coefficient lowering with order-preserving cleanup
+sharing, and [#786](https://github.com/CrocSwap/integer-mult-bounds/pull/786),
+which factors center coefficients and audits its extra macro costs. Neither
+performs this compensation permutation. Their circuit savings are not
+combined with this package.
+
+The private-work clearing boundary moves from each original scalar macro
+to each source group. The native word, production emitter, selected
+certificate and global admission remain unchanged. Integrating this new
+lowering contract and refreshing global invoices/admission are separate
+obligations. All inherited all-size/compiler, common-label/mutable-basis,
+whole-call hosting, precision/tape/recovery, bit-supplier and analytic
+assumptions remain. This finite result is not a formal proof of the full
+integer-multiplication theorem.
diff --git a/research/jp8-compensation-batching/SOURCES.json b/research/jp8-compensation-batching/SOURCES.json
new file mode 100644
index 0000000000..185bff6c4f
--- /dev/null
+++ b/research/jp8-compensation-batching/SOURCES.json
@@ -0,0 +1,39 @@
+{
+  "base_commit": "66849e1475c930fd7732b1a0067ffee7e1e95f60",
+  "selected_pr": 626,
+  "selected_source_head": "660de893d27bb7abd1d5b01b1640207528a5c851",
+  "construction_pr": 622,
+  "construction_head": "f69477f4f6d3c7eb1f740b166881bffed4ffa9f6",
+  "bit_pr": 543,
+  "bit_source_head": "2065fe4f72a914d907f1046603f5a36f17018535",
+  "files": {
+    "certificates/selected-result.json": {
+      "mode": "sha256",
+      "sha256": "b3bf402f31a69bde0629936a9b569bed48281568d7b16d5fba120b5311ea1f53"
+    },
+    "research/complex-k492-owner-repair/data/SPEC.json": {
+      "mode": "sha256",
+      "sha256": "2a2577ac526535826fed9d5f7f83f6e2e0ec058a146c64f7286720b995fa2323"
+    },
+    "research/complex-k492-owner-repair/code/hpe_emit_local.py": {
+      "mode": "sha256",
+      "sha256": "7e4a6fbc38c8228157b6311457d1496bf460291393043932d2c365f004f77805"
+    },
+    "research/complex-k492-owner-repair/code/hpe_audit_local.py": {
+      "mode": "sha256",
+      "sha256": "6bd9a1e279c9c9e4f3767d9f82e537b559292906feb2ddab02f380fb6523a810"
+    },
+    "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/CANONICAL-WORD.json.gz": {
+      "mode": "decompressed-sha256",
+      "sha256": "fb4a8d14ed2a8048698bea6ae16f86163a1aa6c80f2eb622222eee5cdbce9b3b"
+    },
+    "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/LOCAL-PROGRAMS.json.gz": {
+      "mode": "decompressed-sha256",
+      "sha256": "efe45ce7fb025a6f53cc9eb54e951ac2211a5ed927e689a049e4f68ca680654b"
+    },
+    "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/LOCAL-CHECKS.json": {
+      "mode": "sha256",
+      "sha256": "0fad744aa863eedb288a9f87b1c23225a36b316b6275cc3b1bcedd42afe28a67"
+    }
+  }
+}
diff --git a/research/jp8-compensation-batching/VALIDATION.md b/research/jp8-compensation-batching/VALIDATION.md
new file mode 100644
index 0000000000..a400268285
--- /dev/null
+++ b/research/jp8-compensation-batching/VALIDATION.md
@@ -0,0 +1,39 @@
+# Validation receipt
+
+Platform: Linux x86_64, CPython 3.11.13. Source base:
+`66849e1475c930fd7732b1a0067ffee7e1e95f60`.
+Executed during the October 12, 2026 Pacific research sprint.
+
+| Check | Observed result |
+|---|---|
+| `python3 -I -B research/jp8-compensation-batching/verify.py` | Full forward/backward primitive scalar replay; 716 native + 9 arbitrary private columns; savings 80,150/81,464; all ten controls rejected |
+| Same verifier under `-O` | Identical certificate and result; checks use explicit exceptions |
+| `python3 -I -B research/jp8-compensation-batching/independent.py` | Separate integer/dyadic replay on 717 panel input columns; 20,122/18,808 real primitives; all twelve controls rejected |
+| Independent receipt regenerated and compared | Exact equality with committed `INDEPENDENT.json`; also passed under `-O` |
+| `native_replay.py --output <new scratch directory>` | Unchanged inherited emitter/auditor pass both native orientations, 716 columns and 25 existing controls; all non-panel events unchanged |
+| Native driver under `PYTHONOPTIMIZE=2 python3 -O` | Assertion-enabled children still run; byte-identical semantic `NATIVE.json` receipt |
+| Native output preservation | Existing output directory rejected without modifying its receipt |
+| Minimal relocated checkout, path containing spaces, invoked from `/tmp` | Main verifier and independent checker both pass under `-I -O -B` using only the new package and seven pinned inputs |
+| Recompressed source inputs in relocated checkout | Both gzip inputs recompressed at level 1 with different timestamp; both checkers pass and independent receipt remains identical |
+| `make selected-record-check` | Selected record, source inventory and proof-supplement checks pass |
+| `ruff check research/jp8-compensation-batching/*.py` | Pass |
+| Staged whitespace and scope | `git diff --cached --check` passes; only the new research package is staged |
+
+The main controls cover missing initial/final clear, incorrect accumulation
+sign, omitted target update, a write to a protected source, an invalid
+dyadic step, a scalar-preserving work-prefix excursion, a nonzero-frame
+compensation gate, crossing the precondition boundary, and substitution of
+the forward panel for the backward one. Independent controls use separate
+integer arithmetic, include arbitrary incoming private work, and distinguish
+endpoint equality from a prefix-cap failure.
+
+Two separate AI workers checked the mathematics and integer/dyadic panel
+implementation; a third performed an adversarial review and optimized
+replays. No independent human review is claimed. See `NOTICE.md`.
+
+The complete repository `make verify`, selected cold supplier rebuild,
+global hosting/invoice/outer admission, Lean, and remote CI were not run as
+part of this isolated local-lowering contribution. No existing generator,
+supplier, frontier pointer or `upstream/` file changes. Native replay is
+specifically a macro-order/frame check, not an admission of the new private
+work clearing boundary into production.
diff --git a/research/jp8-compensation-batching/independent.py b/research/jp8-compensation-batching/independent.py
new file mode 100644
index 0000000000..18db850dcf
--- /dev/null
+++ b/research/jp8-compensation-batching/independent.py
@@ -0,0 +1,326 @@
+#!/usr/bin/env python3
+"""Independent exact checker for the frame-zero JP8 compensation substitution.
+
+This file reads serialized inputs; it never imports the construction or its
+replay. Rows have integer coefficients and a common power-of-two denominator.
+All 716 L inputs and the single private W input are algebraically independent.
+Prepared for Varun-Mittal-1001 with OpenAI Codex assistance. Apache-2.0.
+"""
+
+import argparse
+import copy
+import gzip
+import hashlib
+import json
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parent.parent
+INHERITED = ROOT / "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8"
+PINS = {
+    "CANONICAL-WORD.json.gz": "fb4a8d14ed2a8048698bea6ae16f86163a1aa6c80f2eb622222eee5cdbce9b3b",
+    "LOCAL-PROGRAMS.json.gz": "efe45ce7fb025a6f53cc9eb54e951ac2211a5ed927e689a049e4f68ca680654b",
+}
+DIMENSION = 716
+PRIVATE = ("W", 0)
+ORIENTATIONS = ("forward", "backward")
+
+
+class CheckError(ValueError):
+    """A source, instruction, endpoint, or claimed bound failed verification."""
+
+
+def require(condition, message):
+    if not condition:
+        raise CheckError(message)
+
+
+def sha256(data):
+    return hashlib.sha256(data).hexdigest()
+
+
+def read_json(path):
+    raw = path.read_bytes()
+    return json.loads(gzip.decompress(raw) if path.suffix == ".gz" else raw)
+
+
+def reduced(row, exponent):
+    """Canonical sparse integer row divided by 2**exponent."""
+    row = {column: value for column, value in row.items() if value}
+    if not row:
+        return {}, 0
+    if exponent:
+        common = min((abs(value) & -abs(value)).bit_length() - 1 for value in row.values())
+        common = min(common, exponent)
+        if common:
+            row = {column: value >> common for column, value in row.items()}
+            exponent -= common
+    return row, exponent
+
+
+def scaled(row, numerator, denominator):
+    require(type(numerator) is int and type(denominator) is int, "coefficient must have integer numerator and denominator")
+    require(denominator > 0 and denominator & (denominator - 1) == 0, "coefficient denominator is not a positive power of two")
+    coefficients, exponent = row
+    return reduced({column: value * numerator for column, value in coefficients.items()}, exponent + denominator.bit_length() - 1)
+
+
+def plus(left, right):
+    left_row, left_exp = left
+    right_row, right_exp = right
+    exponent = max(left_exp, right_exp)
+    result = {column: value << (exponent - left_exp) for column, value in left_row.items()}
+    for column, value in right_row.items():
+        result[column] = result.get(column, 0) + (value << (exponent - right_exp))
+    return reduced(result, exponent)
+
+
+def norm(row):
+    return sum(abs(value) for value in row[0].values()), row[1]
+
+
+def greater(left, right):
+    return left[0] << right[1] > right[0] << left[1]
+
+
+def rational(value):
+    numerator, exponent = value
+    while exponent and numerator % 2 == 0:
+        numerator //= 2
+        exponent -= 1
+    return {"numerator": numerator, "denominator": 1 << exponent}
+
+
+def register(value):
+    require(isinstance(value, list) and len(value) == 2, "register must be [namespace,index]")
+    name, index = value
+    require(type(index) is int, "register index must be an integer")
+    require((name == "L" and 0 <= index < DIMENSION) or (name == "W" and index == 0), "only L[0:716] and W[0] are permitted")
+    return name, index
+
+
+def initial_rows():
+    rows = {("L", index): ({index: 1}, 0) for index in range(DIMENSION)}
+    rows[PRIVATE] = ({DIMENSION: 1}, 0)
+    return rows
+
+
+def source_panel():
+    """Bind the panel to the pinned canonical word and both emitted programs."""
+    loaded = {}
+    for name, expected in PINS.items():
+        payload = gzip.decompress((INHERITED / name).read_bytes())
+        require(sha256(payload) == expected, "inherited payload hash mismatch: " + name)
+        loaded[name] = json.loads(payload)
+    canonical = loaded["CANONICAL-WORD.json.gz"]
+    programs = loaded["LOCAL-PROGRAMS.json.gz"]
+    panel = canonical["compensation"]
+    require(canonical["v"] == 112 and canonical["R"] == 492, "unexpected supplier dimensions")
+    require(len(panel) == 8800 and len(canonical["precondition"]) == 168, "unexpected compensation boundary")
+    require(len(canonical["start"]) == DIMENSION, "unexpected entry dimension")
+    for gate in panel:
+        require(isinstance(gate, list) and len(gate) == 6 and gate[0] == "add" and gate[5] == 0, "compensation is not an all-frame-zero additive panel")
+        _, target, source, numerator, denominator, _ = gate
+        register(["L", target])
+        register(["L", source])
+        require(type(numerator) is int and numerator != 0 and denominator in (1, 2, 4), "unexpected compensation coefficient")
+        require(canonical["start"][target] == canonical["start"][source] == 0, "panel register does not enter at frame zero")
+    targets = {gate[1] for gate in panel}
+    sources = {gate[2] for gate in panel}
+    require(targets == set(range(112, 224)) and len(sources) == 266 and not targets & sources, "panel lacks the pinned disjoint rectangular support")
+    for orientation in ORIENTATIONS:
+        program = programs[orientation]
+        expected = []
+        for _, target, source, numerator, denominator, _ in panel:
+            if orientation == "backward":
+                target, source, numerator = source, target, -numerator
+            expected.append(["scalar", ["add", ["L", target], ["L", source], numerator, denominator], 0])
+        require(program[0] == ["phase", "zero_frame_precondition"], "unexpected first phase")
+        require(program[169:8969] == expected, "canonical/local compensation binding failed for " + orientation)
+        require(program[8969] == ["phase", "entry_adapters"], "compensation end moved")
+    return panel
+
+
+def expected_map(panel, orientation):
+    # The disjoint support implies K**2 = 0, hence (I+K)**(-T) = I-K**T.
+    rows = initial_rows()
+    rows[PRIVATE] = ({}, 0)
+    targets, sources = set(), set()
+    for _, target, source, numerator, denominator, _ in panel:
+        if orientation == "backward":
+            target, source, numerator = source, target, -numerator
+        targets.add(("L", target))
+        sources.add(("L", source))
+        rows["L", target] = plus(rows["L", target], scaled(({source: 1}, 0), numerator, denominator))
+    require(not targets & sources, "expected map is not rectangular")
+    return rows, targets, sources
+
+
+def execute(operations, targets, sources):
+    require(isinstance(operations, list) and operations, "candidate program must be a nonempty list")
+    rows = initial_rows()
+    peak = (1, 0)
+    peak_at = {"primitive_index": -1, "register": ["L", 0]}
+    histogram = {}
+    for index, operation in enumerate(operations):
+        require(isinstance(operation, list) and len(operation) >= 2, "malformed primitive at " + str(index))
+        tag = operation[0]
+        target = register(operation[1])
+        require(target == PRIVATE or target in targets, "write outside compensation targets at " + str(index))
+        histogram[tag] = histogram.get(tag, 0) + 1
+        if tag == "clear":
+            require(len(operation) == 2 and target == PRIVATE, "only private W can be cleared")
+            rows[target] = ({}, 0)
+        elif tag == "copy":
+            require(len(operation) == 3 and target == PRIVATE, "copy must target private W")
+            source = register(operation[2])
+            require(source in sources, "copy must read an unchanged panel source")
+            rows[target] = (dict(rows[source][0]), rows[source][1])
+        elif tag == "scale":
+            require(len(operation) == 4 and target == PRIVATE, "only private W can be scaled")
+            numerator, denominator = operation[2:]
+            require(type(numerator) is int and type(denominator) is int and (numerator, denominator) in ((-1, 1), (1, 1), (2, 1), (1, 2)), "scale is not one allowed primitive")
+            rows[target] = scaled(rows[target], numerator, denominator)
+        elif tag == "add":
+            require(len(operation) == 5, "add must have five fields")
+            source = register(operation[2])
+            numerator, denominator = operation[3:]
+            require(type(numerator) is int and type(denominator) is int and numerator in (-1, 1) and denominator == 1, "add is not a unit signed primitive")
+            require(source != target, "add must use distinct registers")
+            require(source in sources or source == PRIVATE, "add read outside unchanged sources/private W")
+            rows[target] = plus(rows[target], scaled(rows[source], numerator, denominator))
+        else:
+            raise CheckError("unsupported primitive: " + str(tag))
+        current = norm(rows[target])
+        if greater(current, peak):
+            peak = current
+            peak_at = {"primitive_index": index, "register": list(target)}
+    return rows, peak, peak_at, histogram
+
+
+def equal_endpoint(actual, expected):
+    for reference in expected:
+        if actual[reference] != expected[reference]:
+            left, right = actual[reference], expected[reference]
+            columns = sorted(set(left[0]) | set(right[0]))
+            column = next(column for column in columns if (left[0].get(column, 0) << right[1]) != (right[0].get(column, 0) << left[1]))
+            raise CheckError("endpoint mismatch at " + str(reference) + ", independent input column " + str(column))
+
+
+def digest_matrix(rows):
+    serial = [[list(reference), row[1], sorted(row[0].items())] for reference, row in sorted(rows.items())]
+    return sha256(json.dumps(serial, separators=(",", ":")).encode())
+
+
+def verify_orientation(operations, panel, orientation, prefix_cap=None):
+    expected, targets, sources = expected_map(panel, orientation)
+    actual, peak, peak_at, histogram = execute(operations, targets, sources)
+    equal_endpoint(actual, expected)
+    if prefix_cap is not None:
+        require(not greater(peak, prefix_cap), "exact primitive prefix exceeds declared cap")
+    for reference in sources:
+        require(actual[reference] == ({reference[1]: 1}, 0), "an arbitrary source input was not preserved")
+    require(not actual[PRIVATE][0], "private W does not exit at zero")
+    return {
+        "single_coordinate_primitives": len(operations),
+        "real_component_primitives": 2 * len(operations),
+        "primitive_histogram": histogram,
+        "exact_columns": DIMENSION + 1,
+        "arbitrary_L_inputs": DIMENSION,
+        "arbitrary_destination_input_preserved": True,
+        "unchanged_source_rows": len(sources),
+        "unchanged_spectator_rows": DIMENSION - len(targets),
+        "private_input_column_removed": True,
+        "private_exit_zero": True,
+        "endpoint_matrix_sha256": digest_matrix(actual),
+        "exact_prefix_l1": rational(peak),
+        "prefix_witness": peak_at,
+    }, peak
+
+
+def negative_controls(candidate, panel, peaks):
+    rejected = []
+
+    def reject(label, orientation, operations, cap=None):
+        try:
+            verify_orientation(operations, panel, orientation, cap)
+        except CheckError as error:
+            rejected.append({"name": label, "rejection": str(error)})
+        else:
+            raise CheckError("negative control accepted: " + label)
+
+    for orientation in ORIENTATIONS:
+        operations = candidate[orientation]
+        changed = copy.deepcopy(operations)
+        index = next(i for i, op in enumerate(changed) if op[0] == "add" and op[1][0] == "L")
+        changed[index][3] *= -1
+        reject(orientation + ":changed_accumulation_sign", orientation, changed)
+
+        changed = copy.deepcopy(operations)
+        changed.pop(index)
+        reject(orientation + ":omitted_accumulation", orientation, changed)
+
+        changed = copy.deepcopy(operations)
+        first_clear = next(i for i, op in enumerate(changed) if op[0] == "clear")
+        changed.pop(first_clear)
+        reject(orientation + ":missing_initial_clear", orientation, changed)
+
+        changed = copy.deepcopy(operations)
+        final_clear = max(i for i, op in enumerate(changed) if op[0] == "clear")
+        changed.pop(final_clear)
+        reject(orientation + ":missing_final_clear", orientation, changed)
+
+        _, _, sources = expected_map(panel, orientation)
+        source = list(min(sources))
+        changed = copy.deepcopy(operations)
+        changed.append(["add", source, ["W", 0], 1, 1])
+        reject(orientation + ":write_to_unchanged_source", orientation, changed)
+
+        # Double then halve private work: unchanged endpoint, strictly larger
+        # exact prefix. The separate prefix check must detect this mutation.
+        cap = peaks[orientation]
+        doublings = max(2, cap[0].bit_length() + 2)
+        excursion = [["clear", ["W", 0]], ["copy", ["W", 0], source]]
+        excursion += [["scale", ["W", 0], 2, 1] for _ in range(doublings)]
+        excursion += [["scale", ["W", 0], 1, 2] for _ in range(doublings)]
+        excursion += [["clear", ["W", 0]]]
+        changed = copy.deepcopy(operations) + excursion
+        verify_orientation(changed, panel, orientation)
+        reject(orientation + ":same_endpoint_excessive_prefix", orientation, changed, cap)
+    return rejected
+
+
+def check_candidate(candidate, controls=True):
+    require(isinstance(candidate, dict) and all(key in candidate for key in ORIENTATIONS), "candidate must contain forward and backward arrays")
+    panel = source_panel()
+    receipts, peaks = {}, {}
+    for orientation in ORIENTATIONS:
+        receipts[orientation], peaks[orientation] = verify_orientation(candidate[orientation], panel, orientation)
+    return {
+        "status": "PASS_INDEPENDENT_INTEGER_DYADIC_COMPENSATION_CHECK",
+        "inherited_payload_sha256": PINS,
+        "canonical_compensation_gates": len(panel),
+        "local_event_slice": {"start_inclusive": 169, "stop_exclusive": 8969},
+        "both_pinned_local_program_slices_match_canonical": True,
+        "source_target_disjointness": True,
+        "orientations": receipts,
+        "negative_controls_rejected": negative_controls(candidate, panel, peaks) if controls else [],
+        "scope": "Exact frame-zero compensation substitution on arbitrary L inputs and arbitrary private W entry; W exits zero. The backward panel is I-K^T. Remaining local phases, recursive costs, routing and kappa are outside this checker.",
+    }
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--candidate", type=Path, default=HERE / "CANDIDATE.json")
+    parser.add_argument("--output", type=Path, help="write an independently generated receipt")
+    args = parser.parse_args()
+    receipt = check_candidate(read_json(args.candidate))
+    receipt["candidate_sha256"] = sha256(args.candidate.read_bytes())
+    rendered = json.dumps(receipt, indent=2, sort_keys=True) + "\n"
+    if args.output:
+        args.output.write_text(rendered)
+    print(rendered, end="")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/research/jp8-compensation-batching/native_replay.py b/research/jp8-compensation-batching/native_replay.py
new file mode 100644
index 0000000000..4083759888
--- /dev/null
+++ b/research/jp8-compensation-batching/native_replay.py
@@ -0,0 +1,150 @@
+#!/usr/bin/env python3
+"""Replay reordered JP8 macros through the unchanged pinned native checkers."""
+
+import argparse
+import copy
+import gzip
+import importlib.util
+import json
+import subprocess
+import sys
+from collections import Counter
+from pathlib import Path
+
+
+HERE = Path(__file__).resolve().parent
+MODULE_SPEC = importlib.util.spec_from_file_location("jp8_batching_verify", HERE / "verify.py")
+VERIFY = importlib.util.module_from_spec(MODULE_SPEC)
+MODULE_SPEC.loader.exec_module(VERIFY)
+require = VERIFY.require
+
+
+def validate_blocks(ops, blocks):
+    order = [index for block in blocks for index in block["original_indices"]]
+    require(sorted(order) == list(range(len(ops))), "block indices are not a permutation")
+    require(len({tuple(block["source"]) for block in blocks}) == len(blocks), "repeated source group")
+    for block in blocks:
+        require(all(ops[index][2] == block["source"] for index in block["original_indices"]),
+                "block contains another source")
+    return order
+
+
+def run_inherited(script, output):
+    # -E ignores PYTHONOPTIMIZE, and no -O is forwarded even if this driver
+    # was launched with it. Check the child interpreter before every audit.
+    subprocess.run([sys.executable, "-E", "-B", "-c",
+                    "import sys; assert __debug__ and sys.flags.optimize == 0"], check=True)
+    completed = subprocess.run([sys.executable, "-E", "-B", str(script), str(output)],
+                               capture_output=True, text=True)
+    (output / (script.stem + ".log")).write_text(completed.stdout + completed.stderr)
+    require(completed.returncode == 0, "inherited checker failed; see " + str(output / (script.stem + ".log")))
+    print(completed.stdout, end="", flush=True)
+
+
+def run(output):
+    output = output.expanduser().resolve()
+    require(not output.exists(), "output directory already exists; refusing to overwrite")
+    require(not output.is_relative_to(HERE), "output must be scratch outside this package")
+    word, programs, _, selected_checks = VERIFY.inputs()
+    candidates = VERIFY.read_json(HERE / "CANDIDATE.json")
+    expected = VERIFY.read_json(HERE / "EXPECTED.json")
+    orders = {}
+    bounds = {}
+    for name in ("forward", "backward"):
+        start, stop, ops = VERIFY.panel(word, programs[name], name == "backward")
+        candidate, blocks = VERIFY.construct(ops)
+        require(candidate == candidates[name], "candidate certificate mismatch")
+        require(blocks == expected["orientations"][name]["blocks"], "block certificate mismatch")
+        VERIFY.check_panel(ops, candidate)
+        orders[name] = validate_blocks(ops, blocks)
+        bounds[name] = (start, stop)
+
+    touched = {reg for gate in word["compensation"] for reg in gate[1:3]}
+    wrapped = {r for r in range(2 * word["v"], 2 * word["v"] + word["R"])
+               if word["start"][r] != 0 or word["final"][r] != 1}
+    require(word["frames"][0] == [], "frame zero is not empty")
+    require(all(word["start"][r] == 0 for r in touched), "nonzero entrance frame")
+    require(not touched & wrapped, "compensation touches a residual-wrapped register")
+
+    reordered = copy.deepcopy(word)
+    reordered["compensation"] = [word["compensation"][i] for i in orders["forward"]]
+    require({k: v for k, v in reordered.items() if k != "compensation"}
+            == {k: v for k, v in word.items() if k != "compensation"}, "non-panel word changed")
+    output.mkdir(parents=True)
+    (output / "CANONICAL-WORD.json.gz").write_bytes(
+        gzip.compress(VERIFY.canonical(reordered), mtime=0))
+
+    code = VERIFY.ROOT / "research/complex-k492-owner-repair/code"
+    for script in ("hpe_emit_local.py", "hpe_audit_local.py"):
+        run_inherited(code / script, output)
+
+    emitted = VERIFY.read_json(output / "LOCAL-PROGRAMS.json.gz")
+    checks = VERIFY.read_json(output / "LOCAL-CHECKS.json")
+    audit = VERIFY.read_json(output / "INDEPENDENT-LOCAL-REPLAY.json")
+    require(audit["status"] == "PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY",
+            "native audit did not pass")
+    require(len(audit["negative_controls_rejected"]) == 25, "native control count changed")
+    receipt = {
+        "status": "PASS_UNCHANGED_NATIVE_COMPENSATION_REPLAY",
+        "source_pins_semantic_sha256": VERIFY.digest(VERIFY.read_json(HERE / "SOURCES.json")),
+        "input_canonical_semantic_sha256": VERIFY.digest(word),
+        "reordered_canonical_semantic_sha256": VERIFY.digest(reordered),
+        "compensation_additions": len(word["compensation"]),
+        "forward_permutation_sha256": VERIFY.digest(orders["forward"]),
+        "independent_backward_permutation_sha256": VERIFY.digest(orders["backward"]),
+        "native_backward_uses_forward_permutation": True,
+        "primitive_backward_permutation_differs": orders["forward"] != orders["backward"],
+        "all_compensation_registers_at_frame_zero": True,
+        "compensation_touches_no_residual_wrappers": True,
+        "child_assertions_enabled": True,
+        "orientations": {},
+        "native_controls_rejected": audit["negative_controls_rejected"],
+        "scope": (
+            "Unchanged pinned emitter and native scalar/frame/wrapper checker on the "
+            "forward-reordered canonical compensation. Native backward macros retain "
+            "the dual of this forward order; the candidate backward primitive program "
+            "uses its separately checked source permutation of the same commuting panel. "
+            "This does not admit the primitive lowering into a global invoice."
+        ),
+    }
+    for name in ("forward", "backward"):
+        start, stop = bounds[name]
+        require(checks[name]["sha256"] == VERIFY.digest(emitted[name]), "native semantic program binding")
+        require(emitted[name][:start] == programs[name][:start]
+                and emitted[name][stop:] == programs[name][stop:], "non-panel native event changed")
+        native_panel = emitted[name][start:stop]
+        old_panel = programs[name][start:stop]
+        require(native_panel == [old_panel[i] for i in orders["forward"]], "native permutation changed")
+        require(Counter(map(VERIFY.digest, native_panel)) == Counter(map(VERIFY.digest, old_panel)),
+                "native panel multiset changed")
+        for field in ("events", "scalar_macros", "real_component_primitive_bound", "paid_profile",
+                      "all_columns", "private_centers_cleared",
+                      "private_coefficient_stream_cleared_after_each_macro"):
+            require(checks[name][field] == selected_checks[name][field], "native bound changed: " + field)
+        require(audit["local"][name]["all_exact_columns"] == VERIFY.N, "native column count")
+        require(audit["local"][name]["private_work_erased"], "native work was not erased")
+        require(audit["local"][name]["prefix_l1_upper"]
+                == expected["orientations"][name]["before"]["prefix_l1_upper"], "native prefix changed")
+        receipt["orientations"][name] = {
+            "program_semantic_sha256": VERIFY.digest(emitted[name]),
+            "nonpanel_events_sha256": VERIFY.digest(emitted[name][:start] + emitted[name][stop:]),
+            "panel_events": [start, stop],
+            "macro_checks": checks[name],
+            "native_replay": audit["local"][name],
+            "paid_profile": audit["paid_profiles"][name],
+        }
+    (output / "NATIVE.json").write_text(json.dumps(receipt, indent=2) + "\n")
+    print("PASS_UNCHANGED_NATIVE_COMPENSATION_REPLAY columns=716 controls=25", flush=True)
+    return receipt
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--output", required=True, type=Path,
+                        help="new scratch directory outside this package; never overwritten")
+    args = parser.parse_args()
+    run(args.output)
+
+
+if __name__ == "__main__":
+    main()
diff --git a/research/jp8-compensation-batching/verify.py b/research/jp8-compensation-batching/verify.py
new file mode 100644
index 0000000000..84eeba0b32
--- /dev/null
+++ b/research/jp8-compensation-batching/verify.py
@@ -0,0 +1,422 @@
+#!/usr/bin/env python3
+"""Exact finite JP8 compensation batching; Apache-2.0, Codex-assisted."""
+
+import argparse
+import copy
+import gzip
+import hashlib
+import json
+from collections import defaultdict, deque
+from fractions import Fraction as Q
+from pathlib import Path
+
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+PROVIDER = "research/community-k492-audit/pr626/replay/mixed-global/base/providers/jp8/"
+SPEC = "research/complex-k492-owner-repair/data/SPEC.json"
+W = ["W", 0]
+N = 716
+
+
+def require(condition, message):
+    if not condition:
+        raise ValueError(message)
+
+
+def canonical(value):
+    return json.dumps(value, sort_keys=True, separators=(",", ":")).encode()
+
+
+def digest(value):
+    return hashlib.sha256(canonical(value)).hexdigest()
+
+
+def read_json(path):
+    data = path.read_bytes()
+    return json.loads(gzip.decompress(data) if path.suffix == ".gz" else data)
+
+
+def inputs():
+    pins = read_json(HERE / "SOURCES.json")
+    for name, record in pins["files"].items():
+        data = (ROOT / name).read_bytes()
+        if record["mode"] == "decompressed-sha256":
+            data = gzip.decompress(data)
+        else:
+            require(record["mode"] == "sha256", "unknown pin mode")
+        require(hashlib.sha256(data).hexdigest() == record["sha256"], "source pin: " + name)
+    word = read_json(ROOT / PROVIDER / "CANONICAL-WORD.json.gz")
+    programs = read_json(ROOT / PROVIDER / "LOCAL-PROGRAMS.json.gz")
+    spec = read_json(ROOT / SPEC)["providers"]["jp8"]
+    checks = read_json(ROOT / PROVIDER / "LOCAL-CHECKS.json")
+    for name, obj in [("CANONICAL-WORD.json.gz", word), ("LOCAL-PROGRAMS.json.gz", programs)]:
+        require(digest(obj) == spec["artifact_semantic_sha256"][name], "selected SPEC binding")
+    for orientation, events in programs.items():
+        require(digest(events) == spec["program_hashes"][orientation], "program binding")
+        require(digest(events) == checks[orientation]["sha256"], "check binding")
+    require((word["v"], word["R"], word["h"]) == (112, 492, 9), "geometry")
+    return word, programs, spec, checks
+
+
+def scalar(gate, backward):
+    require(gate[0] == "add" and gate[-1] == 0, "nonzero-frame/non-add compensation")
+    _, t, s, a, b, _ = gate
+    if backward:
+        t, s, a = s, t, -a
+    return ["add", ["L", t], ["L", s], a, b]
+
+
+def panel(word, events, backward):
+    start = 1 + len(word["precondition"])
+    stop = start + len(word["compensation"])
+    expected = [["scalar", scalar(g, backward), 0] for g in word["compensation"]]
+    require(events[0] == ["phase", "zero_frame_precondition"], "panel phase")
+    require(events[start:stop] == expected, "panel location/content")
+    require(events[stop] == ["phase", "entry_adapters"], "panel end")
+    targets = {g[1] for g in word["compensation"]}
+    sources = {g[2] for g in word["compensation"]}
+    require(not targets & sources, "panel writes a source")
+    require(all(word["start"][r] == 0 for r in targets | sources), "panel frame")
+    require(len(expected) == 8800, "panel gate count")
+    return start, stop, [e[1] for e in expected]
+
+
+def transitions(k):
+    """The finite signed quarter-grid route class, in deterministic tie order."""
+    for label, value in [("add", k + 4), ("sub", k - 4), ("double", 2 * k)]:
+        if -4 <= value <= 4 and value != k:
+            yield label, value
+    if k % 2 == 0 and k:
+        yield "halve", k // 2
+
+
+def route(required):
+    wanted = sum(1 << (k - 1) for k in required)
+    queue = deque([(0, 0)])
+    parents = {(0, 0): None}
+    goal = None
+    while queue:
+        state = queue.popleft()
+        if state[1] == wanted:
+            goal = state
+            break
+        for label, k in transitions(state[0]):
+            mask = state[1] | ((1 << (abs(k) - 1)) & wanted if k else 0)
+            nxt = (k, mask)
+            if nxt not in parents:
+                parents[nxt] = state, label
+                queue.append(nxt)
+    require(goal is not None, "unreachable coefficient set")
+    steps = []
+    while parents[goal] is not None:
+        old, label = parents[goal]
+        steps.append([label, goal[0]])
+        goal = old
+    return list(reversed(steps))
+
+
+def construct(ops):
+    groups = defaultdict(lambda: defaultdict(list))
+    for index, op in enumerate(ops):
+        _, target, source, a, b = op
+        q = Q(a, b)
+        k = abs(q) * 4
+        require(k.denominator == 1 and 1 <= k <= 4, "coefficient outside quarter grid")
+        groups[tuple(source)][int(k)].append((index, target, 1 if q > 0 else -1))
+    primitives, blocks = [], []
+    for source, coefficients in sorted(groups.items()):
+        first = len(primitives)
+        primitives.append(["clear", W])
+        seen = set()
+        steps = route(set(coefficients))
+        order = []
+        for label, k in steps:
+            if label in ("add", "sub"):
+                primitives.append(["add", W, list(source), 1 if label == "add" else -1, 1])
+            else:
+                primitives.append(["scale", W, 2, 1] if label == "double" else ["scale", W, 1, 2])
+            magnitude = abs(k)
+            if magnitude in coefficients and magnitude not in seen:
+                seen.add(magnitude)
+                for index, target, sign in coefficients[magnitude]:
+                    primitives.append(["add", target, W, sign * (1 if k > 0 else -1), 1])
+                    order.append(index)
+        require(seen == set(coefficients), "coefficient not served")
+        primitives.append(["clear", W])
+        blocks.append({"source": list(source), "required_quarters": sorted(coefficients),
+                       "route": steps, "original_indices": order,
+                       "primitive_start": first, "primitive_stop": len(primitives),
+                       "preparation_and_clear": len(steps) + 2})
+    require(sorted(i for b in blocks for i in b["original_indices"]) == list(range(len(ops))),
+            "panel is not a permutation")
+    return primitives, blocks
+
+
+def primitive_bound(op):
+    if op[0] in ("copy", "clear"):
+        return 1
+    q = Q(*op[-2:])
+    a, b = abs(q.numerator), q.denominator
+    require(a > 0 and b & (b - 1) == 0, "nondyadic coefficient")
+    if op[0] == "scale":
+        require(a & (a - 1) == 0, "nondyadic scale")
+        return abs(a.bit_length() - b.bit_length()) + int(q < 0)
+    require(op[0] == "add", "unknown macro")
+    return 3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1
+
+
+def lower(op):
+    """Literal realization of the selected emitter's charged Horner rule."""
+    if op[0] in ("copy", "clear"):
+        return [op]
+    q = Q(*op[-2:])
+    a, b = abs(q.numerator), q.denominator
+    if op[0] == "scale":
+        shift = a.bit_length() - b.bit_length()
+        result = [["scale", op[1], 2, 1] if shift > 0 else ["scale", op[1], 1, 2]
+                  for _ in range(abs(shift))]
+        if q < 0:
+            result.append(["scale", op[1], -1, 1])
+    else:
+        result = [["clear", W]]
+        for i, bit in enumerate(bin(a)[2:]):
+            if i:
+                result.append(["scale", W, 2, 1])
+            if bit == "1":
+                result.append(["add", W, op[2], 1, 1])
+        result.extend([["scale", W, 1, 2] for _ in range(b.bit_length() - 1)])
+        result.extend([["add", op[1], W, 1 if q > 0 else -1, 1], ["clear", W]])
+    require(len(result) == primitive_bound(op), "lowering cost mismatch")
+    return result
+
+
+def apply(rows, op):
+    tag, target = op[0], tuple(op[1])
+    if tag == "clear":
+        rows[target] = {}
+    elif tag == "copy":
+        rows[target] = rows[tuple(op[2])].copy()
+    elif tag == "scale":
+        q = Q(*op[-2:])
+        rows[target] = {j: q * x for j, x in rows[target].items() if q * x}
+    elif tag == "add":
+        source, q = tuple(op[2]), Q(*op[-2:])
+        require(source != target, "aliased addition")
+        row = rows[target]
+        for j, x in list(rows[source].items()):
+            value = row.get(j, Q(0)) + q * x
+            if value:
+                row[j] = value
+            else:
+                row.pop(j, None)
+    else:
+        raise ValueError("unknown primitive")
+
+
+def initial_rows():
+    return {**{("L", i): {i: Q(1)} for i in range(N)},
+            **{("C", i): {N + i: Q(1)} for i in range(8)},
+            ("W", 0): {N + 8: Q(1)}}
+
+
+def check_panel(ops, candidate, norm=None):
+    targets = {tuple(op[1]) for op in ops}
+    sources = {tuple(op[2]) for op in ops}
+    require(not targets & sources, "source overwritten in panel")
+    original = initial_rows()
+    actual = initial_rows()
+    for op in ops:
+        apply(original, op)
+    weights = norm or {r: Q(1) for r in actual}
+    peak = Q(1)
+    work_sources = set()
+    for op in candidate:
+        target = tuple(op[1])
+        if target == tuple(W):
+            require(op[0] in ("clear", "add", "scale"), "work vocabulary")
+            if op[0] == "clear":
+                work_sources.clear()
+            if op[0] == "add":
+                source = tuple(op[2])
+                require(source in sources and abs(Q(*op[-2:])) == 1, "work source")
+                work_sources.add(source)
+            require(len(work_sources) <= 1, "mixed source work")
+            if op[0] == "scale":
+                require(Q(*op[-2:]) in (Q(2), Q(1, 2)), "work scale")
+        else:
+            require(op[0] == "add" and target in targets and op[2] == W
+                    and abs(Q(*op[-2:])) == 1, "illegal target primitive")
+        apply(actual, op)
+        if target == tuple(W):
+            row = actual[tuple(W)]
+            require(all(j < N for j in row), "incoming private work leaked")
+            require(len(row) <= 1 and all(abs(x) <= 1 and (4*x).denominator == 1 for x in row.values()),
+                    "work outside signed quarter grid")
+        peak = max(peak, sum(abs(x) * weights[("L", j)] for j, x in actual[target].items()))
+    require(not actual[tuple(W)], "private work not cleared")
+    for i in range(N):
+        require(actual["L", i] == original["L", i], "panel scalar boundary")
+    return {"columns": N + 1, "positive_prefix_bound": str(peak)}
+
+
+def full_replay(events, bounds, replacement=None):
+    """All native scalar rows plus eight arbitrary centers and arbitrary work."""
+    rows = initial_rows()
+    norms = {r: Q(1) for r in rows}
+    peak, count = Q(1), 0
+    start, stop = bounds
+    for i, event in enumerate(events):
+        if replacement is not None and i == start:
+            panel_ops, primitives = replacement
+            panel_result = check_panel(panel_ops, primitives, norms)
+            peak = max(peak, Q(panel_result["positive_prefix_bound"]))
+            for op in primitives:
+                apply(rows, op)
+            # Rectangular commuting updates have the same positive exit envelope.
+            for op in panel_ops:
+                norms[tuple(op[1])] += abs(Q(*op[-2:])) * norms[tuple(op[2])]
+            norms[tuple(W)] = Q(0)
+            count += len(primitives)
+        if replacement is not None and start <= i < stop:
+            continue
+        if event[0] != "scalar":
+            require(not rows[tuple(W)], "work crosses a nonscalar event") if i else None
+            continue
+        op = event[1]
+        target = tuple(op[1])
+        primitives = lower(op)
+        for primitive in primitives:
+            apply(rows, primitive)
+        count += len(primitives)
+        if op[0] == "clear":
+            norms[target] = Q(0)
+        elif op[0] == "copy":
+            norms[target] = norms[tuple(op[2])]
+        elif op[0] == "scale":
+            q = Q(*op[-2:])
+            peak = max(peak, norms[target])
+            norms[target] *= abs(q)
+        else:
+            q = Q(*op[-2:])
+            source = tuple(op[2])
+            peak = max(peak, abs(q.numerator) * norms[source])
+            norms[target] += abs(q) * norms[source]
+            norms[tuple(W)] = Q(0)
+        peak = max(peak, norms[target])
+    require(all(not row for r, row in rows.items() if r[0] != "L"), "private output not zero")
+    require(peak < 2**192, "192-bit prefix allowance")
+    return rows, {"real_primitives": 2 * count, "prefix_l1_upper": str(peak),
+                  "prefix_bits_upper": peak.numerator.bit_length() - peak.denominator.bit_length() + 1,
+                  "columns": N + 9}
+
+
+def expect_failure(label, function):
+    try:
+        function()
+    except (ValueError, KeyError, IndexError):
+        return label
+    raise ValueError("negative control accepted: " + label)
+
+
+def controls(word, programs, candidates):
+    _, _, ops = panel(word, programs["forward"], False)
+    original = candidates["forward"]
+    controls = []
+    for label, change in [
+        ("missing_initial_clear", lambda xs: xs.pop(0)),
+        ("missing_final_clear", lambda xs: xs.pop()),
+        ("wrong_accumulation_sign", lambda xs: next(x for x in xs if x[0] == "add" and x[2] == W).__setitem__(3, -next(x for x in xs if x[0] == "add" and x[2] == W)[3])),
+        ("omitted_target_update", lambda xs: xs.pop(next(i for i,x in enumerate(xs) if x[0] == "add" and x[2] == W))),
+        ("write_to_source", lambda xs: xs.append(["add", ops[0][2], W, 1, 1])),
+        ("wrong_dyadic_step", lambda xs: next(x for x in xs if x[0] == "scale").__setitem__(2, 3)),
+        ("prefix_only_inflation", None),
+    ]:
+        if label == "prefix_only_inflation":
+            mutant = copy.deepcopy(original)
+            mutant[2:2] = [["scale", W, 2, 1], ["scale", W, 1, 2]]
+        else:
+            mutant = copy.deepcopy(original)
+            change(mutant)
+        controls.append(expect_failure(label, lambda: check_panel(ops, mutant)))
+    changed = copy.deepcopy(word)
+    changed["compensation"][0][-1] = 1
+    controls.append(expect_failure("nonzero_frame", lambda: panel(changed, programs["forward"], False)))
+    shifted = copy.deepcopy(programs["forward"])
+    shifted[168], shifted[169] = shifted[169], shifted[168]
+    controls.append(expect_failure("cross_precondition_boundary", lambda: panel(word, shifted, False)))
+    _, _, backops = panel(word, programs["backward"], True)
+    controls.append(expect_failure("forward_panel_used_backward", lambda: check_panel(backops, original)))
+    return controls
+
+
+def run():
+    word, programs, spec, selected_checks = inputs()
+    candidates, receipt = {}, {"status": "PASS_JP8_COMPENSATION_BATCHING", "orientations": {}}
+    for name in ("forward", "backward"):
+        events = programs[name]
+        start, stop, ops = panel(word, events, name == "backward")
+        candidate, blocks = construct(ops)
+        candidates[name] = candidate
+        original_rows, before = full_replay(events, (start, stop))
+        new_rows, after = full_replay(events, (start, stop), (ops, candidate))
+        require(original_rows == new_rows, "full scalar projection differs")
+        for i in range(N):
+            expected = {i: Q(1)}
+            if name == "forward" and 112 <= i < 224:
+                expected[i - 112] = Q(1)
+            if name == "backward" and i < 112:
+                expected[i + 112] = Q(-1)
+            require(new_rows["L", i] == expected, "full multiplication-shear endpoint")
+        require(before["real_primitives"] == selected_checks[name]["real_component_primitive_bound"], "selected primitive count")
+        require(before["prefix_l1_upper"] == spec["complete_contract"]["local"][name]["prefix_l1"], "selected prefix")
+        require(before["prefix_l1_upper"] == after["prefix_l1_upper"], "prefix changed")
+        baseline_panel = sum(primitive_bound(op) for op in ops)
+        require(before["real_primitives"] - after["real_primitives"] == 2 * (baseline_panel - len(candidate)), "saving accounting")
+        receipt["orientations"][name] = {
+            "panel_events": [start, stop], "panel_additions": len(ops),
+            "source_groups": len(blocks), "before": before, "after": after,
+            "real_primitives_saved": before["real_primitives"] - after["real_primitives"],
+            "panel_real_primitives_before": 2 * baseline_panel,
+            "panel_real_primitives_after": 2 * len(candidate),
+            "candidate_sha256": digest(candidate), "blocks": blocks,
+            "paid_profile": word["local_profile"],
+            "unchanged_nonpanel_events_sha256": digest(events[:start] + events[stop:]),
+        }
+        print(name, "saved", receipt["orientations"][name]["real_primitives_saved"], flush=True)
+    receipt["controls_rejected"] = controls(word, programs, candidates)
+    receipt["route_table"] = {str(mask): route({k for k in range(1, 5) if mask & (1 << (k-1))}) for mask in range(1, 16)}
+    return candidates, receipt
+
+
+def render_receipt(receipt):
+    display = copy.deepcopy(receipt)
+    for name in ("forward", "backward"):
+        display["orientations"][name]["blocks"] = "BLOCKS_" + name
+    rendered = json.dumps(display, indent=2)
+    for name in ("forward", "backward"):
+        blocks = receipt["orientations"][name]["blocks"]
+        lines = ",\n".join("        " + json.dumps(block, separators=(",", ":")) for block in blocks)
+        rendered = rendered.replace('"BLOCKS_' + name + '"', "[\n" + lines + "\n      ]")
+    return rendered + "\n"
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument("--write", type=Path, help="write freshly checked candidate/receipt to this directory")
+    args = parser.parse_args()
+    candidates, receipt = run()
+    if args.write:
+        args.write.mkdir(parents=True, exist_ok=True)
+        (args.write / "CANDIDATE.json").write_text(json.dumps(candidates, separators=(",", ":")) + "\n")
+        (args.write / "EXPECTED.json").write_text(render_receipt(receipt))
+    else:
+        require(read_json(HERE / "CANDIDATE.json") == candidates, "candidate certificate mismatch")
+        require(read_json(HERE / "EXPECTED.json") == receipt, "expected receipt mismatch")
+    savings = [str(receipt["orientations"][name]["real_primitives_saved"]) for name in ("forward", "backward")]
+    print("PASS_JP8_COMPENSATION_BATCHING additions=8800 saved=" + ",".join(savings)
+          + " columns=716+9 controls=" + str(len(receipt["controls_rejected"])))
+
+
+if __name__ == "__main__":
+    main()