# 490d Mirror checkpoint after C436

25 September 2026 UTC. **C436 complete; C437 unexecuted.** 8 steps remain in the current authorization. Current decisions override archived next-step text.

## Current result

The3206→3170→3206 loop has16 Cartesian labels:8 same-record returns and8 SP/LXX alias switches; one all-SP assignment and zero unchanged-context assignments. Source36=100−60−4. Signed gaps414→450 and−414→−450 establish a mixed-direction fixed-point return, not chronological repetition. Both pivot and station pairs share3188, already MT Noah birthG2/C1/T0/F1, with radii432 and18 (ratio24).

## Earlier results in this batch

**C435**: All2238 six-map/input trials yield23 sourced first-leg outputs,10 integer final outputs,8 sourced final outputs and two complete coordinate paths: old2148→2020→1956 and additional3206→3170→3206, both withp3620/q2756. The loop has signed gaps414/−414 and changes36/−36, with SP/LXX-OFF Shem-birth endpoints and SP/LXX-OFF Flood-start intermediate. Its16 Cartesian label assignments are not yet16 same-record returns.

## Baseline and standing scope

C434 is the authenticated baseline. Its checkpoint is frozen in sources/C434_CHECKPOINT.md. It derives25(215−130+1)+23×950=48×500, and the six source-pivot comparisons p=N−86, q=N−950, H=N−500. Only G1/T0 has its complete2K path2148→2020→1956. The SKL appendix and corrected LXX8464 observations remain supplemental; no redirection follows. C432’s E excerpt locator was corrected in C434 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

A fixed-point return is not an identity map or a repeating historical sequence. The midpoint3188 is a local source comparison; the global January-AD1 Mirror is unchanged.

17 calculation checks and 20 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

C437: Census the six Gear/Terah local midpoint profiles already determined by C434: c=N−518, outer pivots c±432, inner stations c±18. Require every point to remain in the fixed source register and derive the role/context offsets without fitting a center.

The source audit reveals an existing MT Noah record at the common midpoint. Its finite source family is the next structural question before any reflection operation is considered.

Continue within the authorized batch and reassess after the next result.