{"id": "c351", "title": "Cumulative counterpart of the600 endpoint repairs", "filename": "490d_C351_Cumulative_Counterpart_of_600_Repairs_20260924.md", "role": "Research action", "step": 351, "sha256": "03562643079e8e92cfeb8ade14ae6b0c044c72e09a459f8f89239f93f6601f73", "bytes": 3408, "origins": ["C01–C479/packets/C351/490d_C351_Cumulative_Counterpart_of_600_Repairs_20260924.md"], "download": "/sources/03562643079e8e92cfeb8ade14ae6b0c044c72e09a459f8f89239f93f6601f73.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "490d C351 — Cumulative counterpart of the600 endpoint repairs\n\n24 September 2026. Step 8 of 10 in the C344–C353 authorization.\n\nAll four complete cumulative paths admit460+598→458+600 while keeping1058 fixed. The two primary regular counterparts admit the same partition change, with both17K outer comparisons unchanged.", "content": "# 490d C351 — Cumulative counterpart of the600 endpoint repairs\n\n24 September 2026. Step 8 of 10 in the C344–C353 authorization.\n\n**All four complete cumulative paths admit460+598→458+600 while keeping1058 fixed.** The two primary regular counterparts admit the same partition change, with both17K outer comparisons unchanged.\n\nLet S be native-ON cumulative Shem at i+2, P the OFF-Shem member at i+2, and q the OFF-Flood member at i. Their retained dissection is `P−S=460`, `q−P=598`.\n\n| Cumulative repair | Existing replacement | New partition | Outer span |\n|---|---|---|---:|\n| Hold q; enlarge598 to600 | P moves to OFF-Shem at i | **458+600** | **1058** |\n| Hold P; enlarge598 to600 | q moves to OFF-Flood at i+2 | **460+600** | **1060** |\n\nThe replacements exist for i2,i3,i4,i5, with both inherited matching components. No cumulative Gear is assigned. The458 leg compares different Cainan states **and different annual indices**; same-index Cainan insertion remains460.\n\nOn the regular primary side, holding R and selecting the next-Gear MT Noah similarly gives `N−M_new=458` and `M_new−R=600`. At i3/i5, both sides can therefore use458+600 while all four original outer endpoints remain fixed. Their2K sides and17K cross-spans are untouched. The altered interior is not a new independent529 relation.\n\nThe cumulative construction also works at the two companion indices; the regular300/299 counterpart does not, because its input is599. That asymmetry remains explicit.\n\nThe original cumulative460+598 dissection was already retained, including C90. This step adds the source-member repair comparison. It does not assert that File_02 prescribes applying both repairs together. The final research control is whether requiring598 on both sides supplies a new selector, or simply restates the conditions already imposed on the2K structure.\n\n## Verification and limits\n\n30 main checks and 18 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.\n\nSame retained annual and Gear domains; no new cumulative Gear, lifespan, phase, anchor or prescribed joint operator.\n\nMirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.\n\n## Decision after this result\n\n**C352, proposed and unexecuted:** Test the paired598-input requirement in C319’s fixed a,b menu and identify its exact dependency on the existing2K conditions. Recheck File02’s regular-gap and cumulative-propagation permissions before assigning any coupled source-rule status.\n\nThe paired600 partitions are now source-qualified numerically. The last unresolved research issue is whether this pairing establishes more than conditional selection from the already chosen input gaps.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}