{"id": "c435", "title": "Complete Input Census for the Six Source-Derived Pivot Pairs", "filename": "490d_C435_Six_Pivot_Pairs_Complete_Input_Census_20260925.md", "role": "Research action", "step": 435, "sha256": "bb35a7e6e63aba45d3d5bd63d68fa6b221230df17379e7ab7c095e5ef3548eda", "bytes": 3883, "origins": ["C01–C479/packets/C435/490d_C435_Six_Pivot_Pairs_Complete_Input_Census_20260925.md"], "download": "/sources/bb35a7e6e63aba45d3d5bd63d68fa6b221230df17379e7ab7c095e5ef3548eda.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C435 — Complete Input Census for the Six Source-Derived Pivot Pairs\n\n25 September 2026 UTC. Step 1 of 10, C435–C444.\n\nAll 2,238 comparisons of the six fixed C434 pivot pairs with373 existing input coordinates are complete. There are two complete coordinate paths, both for G1/Terah-base and pivots3620 then2756:\n\n| ", "content": "# 490d C435 — Complete Input Census for the Six Source-Derived Pivot Pairs\n\n25 September 2026 UTC. Step 1 of 10, C435–C444.\n\nAll **2,238** comparisons of the six fixed C434 pivot pairs with373 existing input coordinates are complete. There are **two complete coordinate paths**, both for G1/Terah-base and pivots3620 then2756:\n\n| Input → intermediate → output, BC | Effective gap from H3206 | Changes in BC coordinates | Interpretation |\n|---|---:|---|---|\n|2148→2020→1956|1058=2K|128,64|Previously authenticated forward path|\n|3206→3170→3206|0|36,−36|Additional zero-net affine loop|\n\nThe loop first expands3620−3206=414 to450, reaching3170. The second pivot2756 is below the intermediate: the signed gap−414 expands to−450, returning3206. Both absolute gap expansions are18×23→18×25, but their directions differ. This is a sourced affine comparison, not two successive forward chronological durations.\n\nThe loop endpoints3206 have SP-primary and theoretical LXX-OFF Shem-birth labels at G1/C0/T0/F1. Intermediate3170 has SP and theoretical LXX-OFF Flood-start labels at G3/C0/T1/F1. These source identities need an explicit audit before the word “loop” is interpreted as a return to one labelled record.\n\n| Reference Gear/Terah | First-leg sourced outputs | Integer final outputs | Sourced final outputs | Complete paths |\n|---|---:|---:|---:|---:|\n|G1/T0|8|2|2|2|\n|G2/T0|3|2|2|0|\n|G3/T0|2|1|1|0|\n|G1/T1|4|2|1|0|\n|G2/T1|3|2|1|0|\n|G3/T1|3|1|1|0|\n\nThe ten integer final-output cases and all2,238 rational trials are retained in DATA.json. There are23 sourced first-leg outputs and eight sourced composed outputs; requiring both reduces the result to two paths. No coordinate was added, rounded or fitted.\n\nThe2K path has two Cartesian actual-pivot label assignments. The new coordinate loop has16 assignments when its start and end aliases are chosen independently. This is not yet16 returns to the same source record; that distinction is reserved for the next step. Effective-pivot aliases are not additional executed pivots.\n\nThe source domain is the frozen C286 register, authenticated through C434. C434’s source formula and corrected File_46 L3 ratio control the maps. Absence means absence from this528-label/373-coordinate domain only.\n\n## Verification and scope\n\n2244 calculation checks and 18 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\nFinite frozen-domain result. Opposite signed gap directions and start/end aliases remain explicit; no global source-preserving action is established.\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**C436, proposed and unexecuted:** Audit the source states and label identity of the3206→3170→3206 loop; derive its36-year offset from the existing100,60 and Gear4-year difference, and distinguish mixed-direction affine closure from chronological succession.\n\nThe census adds one sourced loop. Its event roles, source aliases and direction must be resolved before broader structural claims.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}