490d C464 — SP-Companion Dependence of the Positive Witnesses
25 September 2026 UTC. Step 20 of 25, C445–C469.
Removing 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.
The 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.
The 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.
The 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.
The 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.
Verification and scope
2 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.
This is a sensitivity analysis, not a proposal to delete accepted SP companion sources or change the controlling register. Full-register results remain in force.
Mirror/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.
Best next bounded step
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.
The companion control removes unique coordinates. A separate LXX-OFF control will distinguish loss of unique source support from mere reduction in alias multiplicity.