{"id": "c139", "title": "C139 — Source-field membership does not require a stored graph node", "filename": "490d_C139_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 139, "sha256": "46e3f232f6de8abc98a9688f42fb14dececd9ec022253725b029328aa57f0116", "bytes": 2614, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C136_C155_529_Square_Batch_20260923/C139/490d_C139_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/46e3f232f6de8abc98a9688f42fb14dececd9ec022253725b029328aa57f0116.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C139 — Source-field membership does not require a stored graph node\n\n23 September 2026 · Bounded step 4 of 20 (C136–C155).\n\nThe six-square result has two provenance levels: four U vertices already exist as typed graph nodes; two are admitted members of the explicit retained field. No graph node is added.\n\n| Cumulative ", "content": "# C139 — Source-field membership does not require a stored graph node\n\n23 September 2026 · Bounded step 4 of 20 (C136–C155).\n\n**The six-square result has two provenance levels: four U vertices already exist as typed graph nodes; two are admitted members of the explicit retained field.** No graph node is added.\n\n| Cumulative U pair | Existing typed graph node | Admission |\n|---|---|---|\n| 6349t/6348n BC | None | Retained field member |\n| 6348t/6347n BC | None | Retained field member |\n| 6347t/6346n BC | N01_u | Retained field member |\n| 6346t/6345n BC | N02_u | Retained field member |\n| 6345t/6344n BC | N03_u | Retained field member |\n| 6344t/6343n BC | N04_u | Retained field member |\n\nC10 explicitly states the cumulative ON Shem-birth/Noah-death field 6350–6343 and OFF Flood/Shem-death field 5290–5283. File_18 §6D supplies native cumulative Flood 5750–5743. The retained comparisons use the 600-year Shem span for the first field and the 460-year cumulative Cainan removal for the second. These operations belong to cumulative architecture; neither is a regular Gear.\n\nThus U=6347/6348 is not rejected merely because it lacks a stored C127 node. Conversely, arithmetic U=6342 is not admitted merely because it would complete an exact 1058 square: it is outside the retained field. This step checks retained field membership, not a fresh historical attestation of each generated pairing. The six-square language means sourced endpoints available for comparison; it does not certify a larger joined chronology or source-preserving transformation.\n\n## Source and scope control\n\nAll numerical bases in this packet stand for paired coordinates: BC base B is (B+1)t/Bn BC; reflected AD base A is AD At/(A+1)n. Thus a cross-Mirror same-season span is B+A, after the civil no-year-zero subtraction. AD stations are reflected source events, not historical AD occurrences. K=529 throughout.\n\nRegular Gears remain restricted to Noah/Shem/Flood. Creation and Conquest are fixed source-field selections. C133–C135 corrections remain controlling. The C127 graph and canonical controls are frozen; source-field admission is distinguished from an existing graph node and from a generated comparison coordinate. No wider N01/N03 expansion or missing N03 Shem join is repaired. Original Reports 01–10 remain previously verified references; interrupted original Reports 11–25 remain unestablished. Check counts are computational assertions, not independent historical witnesses.\n\nEvidence: `CERTIFICATE.json`; **29 passing assertions** in `RESULTS.json`. The assertion list identifies the actual tests.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}]}