490d C466 — Seven-Coordinate Source Certificate for the Complete 2K Ladder
25 September 2026 UTC. Step 22 of 25, C445–C469.
The complete1058→1150→1250 ladder has a seven-coordinate MT/SP provenance certificate. All seven typed source records are regenerated from six controlling source excerpts. Endpoint equations determine the pivots uniquely as3620 and2756; the SP-companion and primary-death qualifications are explicit.
| Coordinate | Explicit source binding | Derivation |
|---|---|---|
| 3620 | SP companion Noah birth G1/C1/T0/F0 | 3490+130 |
| 2756 | SP primary Noah death G1/C0/T0/F1 | 2541+215 |
| 3206 | SP primary Shem birth G1/C0/T0/F1 | 2991+215 |
| 3170 | SP Flood start G3/C0/T1/F1 | 2895+60+215 |
| 2148 | MTShem death G2/C1/T1/F1 | 1741+2+130+60+215 |
| 2020 | MTShem death G3/C0/T1/F1 | 1741+4+60+215 |
| 1956 | MTShem death G1/C0/T0/F1 | 1741+215 |
For an E arrow x→y, the pivot is uniquely h=(25x−23y)/2. Both first-stage arrows solve to3620; both second-stage arrows solve to2756. The source card therefore documents necessary anchor identities rather than a choice among interchangeable fitted pivots.
The evidence retains File_02 lines659–716; File_18 variant, Flood and SP-person excerpts; the basic three-Gear offsets from File_11; and the corrected File_46 L3 ratio passage117–133. Current scope remains Noah/Shem/Flood only, regardless of broader archived language elsewhere in those files.
MT2148 uses the explicitly opened restored-Cainan comparison. SP2756 retains its inclusive/harmonic primary-death qualification. The successive MT Shem-death states are alternative comparison bindings, not a sequence of literal deaths. No new civil BC/AD crossing is involved in this local ladder.
Verification and scope
17 calculation checks and 21 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.
Minimality refers to this fixed witness and its declared words. It is not a claim that no other construction could exist in a larger, differently scoped source menu.
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
C467, proposed and unexecuted: Remove each of the12 fixed operators one at a time, recompute the shared529-pair closure and mixed strong-component structure, and identify the minimal operator support for the positive interval ladder and the two cycles.
Source support is now explicit. Removing operators while holding all source coordinates fixed will distinguish the two essential E maps from reflections that explain adjacent cycles but do not generate the positive interval ladder.