# 490d Mirror checkpoint after C323

24 September 2026. **C323 complete. C324 unexecuted.** 0 steps remain in the current C314–C323 authorization. Read this checkpoint and its report first; use the frozen predecessor checkpoint and certificate for inherited state. Do not repeat completed work or follow stale archived next-step paragraphs.

## Current finding

C314–C323 complete. Source-qualified17K rectangles, three full460-year primary biographies, finite reversed500 correspondence, explicitpaired458/allK dependencies and exactjointdomains are consolidated. The selector remains unestablished. C324 unexecuted.

Restart with the C323 synthesis and C314–C323 reading index. The compact kit is the active packet; the continuation archive contains all ten sealed evidence packets. Earlier archives are reference libraries, not instructions to rerun research.

Retain these results:

- Direct LXX_OFF600 rectangles: six coordinates at i2…7, six SP and three distinct LXX labels.
- Native LXX_ON counterparts: three MT restoredON/Terah60/full430 rectangles at i3/5/7. The entire primary same-Gear Noah-bound biography shifts−460 at all15 endpoints/30 components, preserving500,600 and950. MT textual502 is a different binding, explicitly retained by File_18 §1.3.5.
- Reversed SP500: five cases, i=10−j, opposite cumulative phases. A local finite correspondence, not a new global Mirror. G1 companion i2 remains source-valid but requires absentj8 for this reversal.
- Same-ancestor17K/8395 remains598, failing the matching source600 by2. The alternativeh=i−2 route changes the cumulative antecedent. C271's recorded Flood ancestry remains cumulativeShem_i via17K.
- Paired458 source changes recover C287 on admitted rows. The00 control still has two17K paths, so17K alone does not force the22 choices. FullC287 remainsi2…5.
- OFF600+ON600+reversed500+C287-i coexist ati3/5. AddingC287 atj=10−i leaves onlyi5. This uniqueness is conditional on that additional analytical requirement.

No source-prescribed selector, universal operator, statistical rarity, new absolute placement, extra event, phase, Gear or anchor follows. C313/C315 same-ancestry failures are unchanged. The latest authorization ends at C323.

## Retained context

C277–C310 and C311–C313 remain completed. C311 found no prescribing annual selector in its three-source audit; C312 admitted four complete cumulative transports and five SP targets; C313 found a center500 match only at j5 and no same-ancestry exact component500 match. The +155 regular normalization is local. C287 complete four-node indices remain2…5; direct17K admission is weaker. The original AD1905–1911 proposal remains unexecuted. Supplemental Engine ReportIII explicitly derives the LXX OFF field; older182/777 and mixed Cainan headings yield to File_18. Corrected LXX crossover8464 observations remain awareness only:1564→1700 and2484→2700, difference920→1000; AD3746/2300 is superseded. C-series and original unprefixed/Engine report series remain distinct.

Mirror/529 remains the focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction x=1 January AD2; no civil year zero. Regular Gears remain Noah/Shem/Flood only. SP minus-one companion is local to SP Noah/Shem. No cumulative/upstream Gear, new endpoint or phase, fitted anchor, global axis, z-law, canonical or graph edit. Capture now; canonize later. Source state, event identity, generated coordinate and phase ancestry remain distinct. Exact arithmetic and source membership do not establish intention or independent historical witnesses.

## Verification

69 main assertions and 54 frozen-input/predecessor checks passed. A second main replay produced byte-identical DATA and RESULTS. Separate review scope and agreement are recorded in the evidence. All frozen originals and standing controls remain unchanged. These are verification counts, not independent-witness counts.

## Best next bounded question

C324: Audit only relevant supplied-source passages for an already documented endpoint/dependency rule connecting the verified460-year SP→MT context correspondence with25/23 and the Noah-bound500-year relation. Distinguish a prescribed path from the scalar width identity; do not fit an anchor or rerun C290.

The new full-biography correspondence makes this a concrete529-related source question. An explicit rule would add something not supplied by the existing arithmetic; another rearrangement of the same equations would not. C324 requires a new user instruction.

The current authorization ends here; do not execute C324 without a new instruction.