# C333 independent synthesis review

24 September 2026. This is a synthesis-only review of sealed C324–C332 results. No source search, new comparison domain or C334 research was performed.

**The scientific synthesis is supported with its stated qualifications.** The strongest completed addition is the source-qualified interior partition of all four retained C287 SP2K paths: `1058=950+108`. Their actual MT intermediates distinguish primary460+490+108 from companion459+491+108. This refines an existing2K endpoint relation; it does not establish a new source selector.

| Completed findings | Required interpretation |
|---|---|
|C324: File_09 positively prescribes local cumulative460→500 completions; the existing declared-anchor regular-Cainan example is also retained. File_46 licenses23² double expansion and labels its Noah500 resonance as a display motif.|The specific regular SP→MT biography/25/23/Noah500 dependency remains unestablished in the bounded passages reviewed. Neither a universal expansion prohibition nor repository-wide absence follows.|
|C325–C326: six admitted460+40=500 triples; full regular field has gaps460,40,460, overlap40, outer960.|The File_09 field has gaps40,460,40, overlap460 and outer540. The three-point forms agree; the complete metric configurations differ.|
|C327–C328: selected positive residuals40,140,490,640; Noah950 remainders300,360,430,490 across the four MT contexts.|The490 remainder is exact and context-dependent. Choosing it as a criterion is not independent source justification for that context.|
|C329: Noah490 and both140 relations survive the named500/502 binding change;40→42 and640→642.|The G2 Noah/Flood–G1 Shem alternative remains a named mixed binding, not a coherent single-Gear biography.|
|C330:13 equations have rank9, four cycle dependencies and common-translation freedom;25 residual equations add rank0. Both mode-specific field pairs repeat under600 transport.|Algebraic dependence and coordinate transport do not establish independent historical witnesses, an absolute anchor or shared cumulative ancestry.|
|C331: all four complete SP paths i2…5 have950+108; primary legs460/490/108, companion459/491/108.|Missing MT companion births remain absent. The two co-located LXX Noah labels do not acquire a new LXX death path. SP primary-death counting qualifications remain.|
|C332: both new regular criteria retain02 and22 at i3/5; adding existing two17K leaves22 at i3/5.|The stronger conditional result is valid. It does not erase the02 counterexamples to independent selection, or the valid22 companion i4 whose residual is491.|

The C331 full domain i2…5 and C332's inherited C319 control domain i3…7 remain different scopes. C332's omission of i2 does not reject that admitted C287 path. Likewise, the six formal controls lacking cumulative and/or regular endpoint admission remain formal controls rather than new source dates.

The review checks the frozen scientific ledger and the certificate chain from C323 through C332. All nine completed certificates bind the supplied data, results and next-step snapshots; their completion and no-edit states agree. Historical next-step snapshots are preserved as records, not current instructions to rerun completed steps.

`C333_Independent_Audit.py --sources DIR --out DIR` uses only Python's standard library and the frozen C323 certificate plus each C324–C332 DATA/CERTIFICATE/RESULTS/NEXT_STEP file. **146 checks passed:90 authentication checks and56 scientific-claim checks.** These verification counts are not witness counts. ZIP integrity, publication receipts and package replays are covered by the separate archive audit; this review does not duplicate or overclaim that scope.

The script, results and review are frozen for handoff. K=529, E=25/23 and P=70/69 remain fixed; global paired Mirror January AD1, local junction January AD2 and no civil year zero remain unchanged. Source identity, modal binding, generated coordinates, phase ancestry, regular Gear scope and SP-local companions stay distinct. C334 is unexecuted.