# 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.