{
  "step": "C276",
  "date": "2026-09-24",
  "status": "completed",
  "title": "The598 source relation and translation increment",
  "previous_certificate_sha256": "9f07d37f74b9bfb9e21984b5efa17fe53f22d545af152e208b21c629af3f7c47",
  "source_manifest_sha256": "63ac7bc27508f9c1f702784c278fcf35624ff7435cf43b2e155be3089d897689",
  "scope_sha256": "ba7ec19964c23858e9b470068107d64f90f81d9a1956394622e0b84dc1abceb9",
  "report_sha256": "1f56ba01682e970eebb7593c675da4be017fb4627bb4b98d362cca9a309c8301",
  "checkpoint_sha256": "0d11a69713c8a716d9b8a94dae7f157fdeb81e41cce68f49157e3c4daa85e8f0",
  "results_sha256": "1c36e4f973fc99da3fb285aef8fbf8db38fb2e0792d0a00940762d53730fdd35",
  "verifier_sha256": "4ab4aaec204ab7d87ba46eef23c465a7d7c5e384d437bb3b5791108c484fb245",
  "review_sha256": "a64ef10367597055f56319dc0f3f4af040942d18b47c41ae3839f149671f5727",
  "replay_sha256": "8a68baf06e6b977c657f52269610bf7b358031b5f6e36d57e8c6a2e1aa688268",
  "control_integrity_sha256": "6e722debd636930de731f3c23655bee3c3d313ef2cf7190b2df45801712fbb0b",
  "generated_evidence_sha256": {
    "SOURCE_REGISTER.json": "3de0e8d2215d644ab704a64670053d9c68739b1f4a0e2cafc6e8bc6669fc7207",
    "TRANSPORT_CONSTRAINTS.json": "8de58007dfc2284b8abdd1a072abfdee4b3c7125fa55e5c422829024f77d7083",
    "ALIGNMENT_IDENTITIES.json": "aa67094dd07a89bfd82fb8eea54d6c7d275fd58914b296b6d1094efe0607d408",
    "PHASE_LEDGER.json": "93e0ee754ba43c3c95eecbbebdd0378175de31edac632cd75e7ec3ccb4d1bf25",
    "ASSUMPTION_LEDGER.json": "a4c199695337136a173944436d5d699cd09ad8574def6d6c9509176585837655",
    "RESULTS.json": "1c36e4f973fc99da3fb285aef8fbf8db38fb2e0792d0a00940762d53730fdd35"
  },
  "assertions_passed": 70,
  "replayed_output_files": 6,
  "frozen_existing_inputs": 16,
  "retained_source_centers": 6,
  "physical_component_routes": 6,
  "case_ranks": [
    2,
    3
  ],
  "case_degrees_of_freedom": [
    2,
    1
  ],
  "main_result": "The retained598/600 source relations and17K branch transport leave delta=h-f free. The explicit cross-index image alignment X:H(S)=F(I) fixes delta=598 but leaves one common translation free. The aligned image form is p,-p,p+2; absolute placement is not determined by X.",
  "source_transport_alone_fixes_increment": false,
  "increment_uniquely598_given_X": true,
  "absolute_placement_determined_by_X": false,
  "X_is_an_additional_requirement": true,
  "MT_join_imposed": false,
  "C270_fixed_intercepts_imposed": false,
  "C271_matching_counts_extended_to_free_delta": false,
  "formal_parameter_value_selected": false,
  "historical_campaigns_rerun": 0,
  "new_source_event_identities_asserted": false,
  "controls_modified": false,
  "graph_modified": false,
  "new_independent_review": false,
  "review_type": "author mathematical and source consistency review",
  "supplement_used_to_redirect_research": false,
  "supplemental_correction": "LXX5494/4534 +8464 -> AD2970/3930; reflected-anchor gaps1564/2484 ->1700/2700. Offsets1380/880; difference920->1000. AD3746/2300 superseded for this observation.",
  "scientific_limits": [
    "A retained source duration does not itself require equality of images under independent translations.",
    "Equivalent expressions of X are one scalar condition, not independent witnesses.",
    "The selected aligned radius is |p+1|; radius six and the7K Noah subtraction require retained absolute placement.",
    "Integer translations preserve inherited annual-center and phase conventions; formal families do not assert new historical states.",
    "No necessity of a common increment across all profiles is established from this LXX rectangle.",
    "The verifier authenticates selected inputs and exact arithmetic; it does not establish historical necessity for X."
  ],
  "regular_Gear_scope": [
    "Noah",
    "Shem",
    "Flood"
  ],
  "next_proposed_step": "C277: extend the same tagged598 alignment across the existing six C271 bindings; check counterpart availability and source-index/register boundaries without adding source events or fitting landings.",
  "next_step_executed": false
}