490d Mirror checkpoint after C479

25 September 2026 UTC. C479 complete; C480 unexecuted. 0 steps remain in the current authorization. Current decisions override archived next-step text.

Current result

C470–C479 are complete. The51 sourced1150 intervals admit exactly three fixed-E expansions to1250; only one has a complete2K predecessor. The74 coordinate/130 labelled1250 pairs reduce to seven source classes dominated by three matched24-context families. Whole-map equality does not ensure sourced factors. Four primary Noah-held ladders remain complete; five companion endpoint cases lack every middle. Fixed Mirror images retain the two inherited17K corners but no cumulative E ladder in the48-record menu. C480 is unexecuted.

Earlier results in this batch

C470: All 51 sourced 1150-year coordinate pairs (101 label pairs) produce 408 fixed-pivot E trials: 16 have integer outputs and three have both outputs sourced. The admitted pairs are1955/3105→1805/3055 at3680,2020/3170→1956/3206 at2756, and2148/3298→2020/3270 at3620. Only the middle case has a complete sourced2K predecessor,2148/3206 at3620.

C471: All three1250 outputs have a matched-context MT Shem-death versus SP-primary/LXX-OFF Shem-birth binding, giving600+650. Their endpoint changes are−150/−50,−64/+36 and−128/−28. The first two-K ancestry fails at missing2093/3151; the third fails integrality at every fixed first pivot; only the established middle case has a sourced predecessor.

C472: The complete1250 inventory contains74 coordinate pairs and130 label pairs. Three disjoint matched-context families contribute24 coordinate pairs each: MT Shem-death/SP-primary-or-LXX Shem-birth; MT Flood-start/SP-primary-or-LXX Noah-birth; and MT Flood-close/SP-companion Noah-birth. Two extra MT Noah-death/SP-companion Shem-birth pairs complete the coordinate inventory; eight additional label pairs are aliases of core coordinates. All three admitted E outputs lie in the Shem family.

C473: All24 matched1250 contexts form typed triplets: Shem-family A maps to Flood-start/Noah-primary family C by+500; SP C maps to Flood-close/Noah-companion family B by−1, so B=A+499. There are48 typed+500 maps and24 qualified−1 maps. None of the six translated admitted E comparisons has its full input/anchor source support.

C474: The +500-translated split word and the inherited C429 Noah-held word E_3706² have the same full affine map, slope625/529 and effective pivot3706. The translated word needs absent pivots4120/3256 and absent upper intermediate3670; the inherited held word2648/3706→2556/3706→2456/3706 is fully sourced. Its input is the inherited C287 i3 17K corner.

C475: Sixteen factorizations associated with the four inherited Noah-held ladders have five fully sourced profiles: the four original held words and the established Shem split partner of3706. Only that split partner uses the active eight-pivot menu. The3491 partner has sourced endpoints and intermediate but lacks pivot3405; the3708 partner has sourced pivots but lacks both intermediate endpoints.

C476: Across24 Noah contexts per SP rail, primary-held1058→1150→1250 paths have24 sourced middles/finals and exactly four sourced inputs, hence four complete paths. Companion-held paths have24 sourced finals but no sourced middle; five inputs are sourced, including the inherited3899/2841 Noah-role alias in addition to four matched Flood-close inputs.

C477: The18 fixed-Mirror trials on nine Noah-held source-endpoint cases reproduce exactly the five inherited input images, including the original i3/i5 17K corners. No cumulative middle is sourced; none of the five complete input images has a sourced expanded final. Two isolated final images belong to the3899 alias case and lack pivot, input and middle.

C478: A different root-agent implementation passes98 checks, regenerating all528 regular labels/373 coordinates and48 cumulative records. Reverse interval-to-pivot enumeration, direct integer polynomial evaluation, typed family classification and Mirror comparison agree with C470–C477. The eight sealed packets and24 publications pass the integrity audit with no discrepancies.

Baseline and standing scope

C469 is the authenticated baseline. Its checkpoint is frozen in sources/C469_CHECKPOINT.md. The fixed local reflection centers are 3188, 3190, 3248 and 3250, each an existing MT Noah birth record. The 528 labelled Noah/Shem/Flood records occupy 373 integer BC coordinates. These local source comparisons do not replace the January-AD1 global Mirror. C469 establishes the complete shared-word interval ladder 2148/3206→2020/3170→1956/3206, spanning 1058→1150→1250 at pivots 3620 then 2756. Its source certificate has seven distinct coordinates. C465’s mixed-cycle 12→12 label count covers vertices only; including its operator anchors gives 48→12, as clarified in C469. The SKL appendix and corrected LXX8464 observations remain supplemental; no redirection follows. C432’s E excerpt locator was corrected in C434 and carried through C469 to File_46 L3, lines117–133; prior arithmetic already used25/23.

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.

Limits and verification

All ten steps use the inherited source domains. No new date, pivot, phase, global axis, cumulative/upstream Gear or canonical edit has been admitted. The held-Noah diagnostics and formal translated factors remain distinct from the active eight-pivot menu. Original unprefixed reports, Engine reports and C-series reports remain distinct.

51 calculation checks and 65 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.

Best next bounded step

C480: Reduce the complete51-coordinate/101-label1150 interval inventory already frozen in C470 to disjoint source-role and context templates, retaining aliases separately. Use that grammar to explain the three admitted fixed-E expansions and the failed cases without adding a date, pivot, phase or operator.

The1250 output grammar is complete, while the complete1150 inventory has only been classified for its three admitted E expansions. Its finite source grammar is the remaining direct dependency for explaining the full selection pattern. C480 needs a new instruction and no such classification has been executed.

The ten-step authorization ends at C479. C480 needs a new instruction.