{"id": "c464", "title": "SP-Companion Dependence of the Positive Witnesses", "filename": "490d_C464_Essential_SP_Companion_Anchors_and_Source_Sensitivity_20260925.md", "role": "Research action", "step": 464, "sha256": "55a9eac6aebd052ce55d2f11f8223bd443356e1709ef6867760e1fad75e2265e", "bytes": 3170, "origins": ["C01–C479/packets/C464/490d_C464_Essential_SP_Companion_Anchors_and_Source_Sensitivity_20260925.md"], "download": "/sources/55a9eac6aebd052ce55d2f11f8223bd443356e1709ef6867760e1fad75e2265e.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C464 — SP-Companion Dependence of the Positive Witnesses\n\n25 September 2026 UTC. Step 20 of 25, C445–C469.\n\nRemoving SP-companion labels leaves432 records at282 coordinates and34 direct529/1058 pairs, but no shared-word transport. Both2K ladders lose only pivot3620 while retaining every endpoint. The ordinary refl", "content": "# 490d C464 — SP-Companion Dependence of the Positive Witnesses\n\n25 September 2026 UTC. Step 20 of 25, C445–C469.\n\nRemoving SP-companion labels leaves432 records at282 coordinates and34 direct529/1058 pairs, but no shared-word transport. Both2K ladders lose only pivot3620 while retaining every endpoint. The ordinary reflection cycle loses2730; the mixed E cycle loses3765. The two inherited primary Mirror corner controls retain all regular endpoints.\n\nThe control removes96 companion labels, eliminating91 coordinates that have no surviving alias. It retains the four lower E pivots2756,2758,2816 and2818; all four upper pivots are lost. An endpoint-only filter would leave80 operator arrows, while also requiring sourced anchors leaves71.\n\nThe main two-stage witness still has2148,3206,2020,3170,1956 and2756. Its failure is specifically the absence of SP-companion Noah-birth pivot3620. Keeping that pivot after removing its only source record would be inconsistent. The same unique pivot supports the shorter1895/2953 ladder.\n\nThe ordinary cycle depends on SP-companion Noah death2730 and the mixed cycle on SP-companion Noah birth3765. Their dependence is separate from the first-pivot requirement. This identifies where the source qualifications matter; it does not revise the accepted full-register arithmetic.\n\nThe next control concerns aliases rather than companions. Removing theoretical LXX-OFF labels while leaving SP records tests whether any claimed coordinate or operator depends solely on that theoretical state.\n\n## Verification and scope\n\n2 calculation checks and 23 source/predecessor authentication checks passed. Main result files replay byte for byte. These are root-agent checks, not an independent-agent review or independent historical witnesses.\n\nThis is a sensitivity analysis, not a proposal to delete accepted SP companion sources or change the controlling register. Full-register results remain in force.\n\nMirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.\n\n## Best next bounded step\n\n**C465, proposed and unexecuted:** Remove only theoretical LXX-Cainan-OFF labels as a separate sensitivity control, retaining SP alternatives, and compare coordinate availability, operator arrows,529 pairs and distinct-record witness assignments.\n\nThe companion control removes unique coordinates. A separate LXX-OFF control will distinguish loss of unique source support from mere reduction in alias multiplicity.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}]}