# C269 independent graph and source review

24 September 2026. Selective inspection of frozen C127 incidence and the immediate C01, C09, C18, C268 and C254 records. No graph or canonical source amendment; no C270 work.

## Principal findings

The positive C267/C268 source, LXX OFF cumulative Flood closing pair **5284t/5283n BC**, is an admitted field member but **is not a node of the frozen C127 graph**. There is likewise no reflected node at +5283. This absence is a graph-incidence limit, not lack of source support or lack of all subsequent route evidence.

The negative branch has a stronger existing graph attachment: its underlying **Shem closing pair 5884t/5883n BC is stored as `N04_cm`**. In addition, **C254 already certifies a source-qualified route beginning at Flood closing base 5283**. Both facts must be retained when describing the closing member's status.

Frozen graph SHA-256, independently checked:

`d7be8886117c8c550e39f8846862ec613f621c0ed560d4c9d8c89446fae53503`

Its 208 nodes and 382 duration records are unchanged.

## Source members and stored identities

| Source member | Signed source center | C127 node | Qualification |
|---|---:|---|---|
| LXX OFF Flood opening 5291t/5290n BC | −5290 | `opening_OFF_BC` | Admitted source opening |
| LXX OFF Flood 5288t/5287n BC | −5287 | `N02_c` | Cumulative member j=3 |
| LXX OFF Flood 5286t/5285n BC | −5285 | `N04_c` | Cumulative member j=5 |
| LXX OFF Flood closing 5284t/5283n BC | −5283 | None | Admitted source closing, j=7; later C254 route |
| SP Creation 4420t/4419n BC | −4419 | `N02_b` | Fixed Normal/G2 field, offset2 |
| SP Creation 4418t/4417n BC | −4417 | `N04_b` | Fixed Normal/G2 field, offset4 |
| LXX OFF Shem closing 5884t/5883n BC | −5883 | `N04_cm` | Existing source of negative local branch |

The cumulative profile is derived Cainan OFF. Creation retains full430, Terah0 and CainanOFF. The source identity rule requires matching role, profile, Gear/companion/boundary tags, projection and coordinate; a numerical co-location is insufficient.

### Negative-branch metadata

`N04_cm` has role `cum_LXX_OFF_Shem`, projection `BC source`, profile `cumulative LXX derived Cainan OFF; Shem-birth / Noah-death comparison field`, and `source_membership_verified=true`.

There is **no stored reflected node at +5883** and no reflection relation incident to `N04_cm`. Its three incident duration records are:

| Edge ID | Directed endpoints | Width |
|---|---|---:|
| `N04_460` | `N04_u` (−6343) → `N04_cm` (−5883) | 460 |
| `N04_598cum` | `N04_cm` (−5883) → `N04_c` (−5285) | 598 |
| `N04_17opposite` | `N04_cm` (−5883) → `N04_r` (+3110) | 8993 |

The C267 transformation translates Shem closing by 5888 and reflects it, reaching center −5. C127 does have `N04_Z` at −5 with display 6t/5n BC, but its role is `comparison_landing` and its profile expressly disclaims an independent historical birth. It is not a stored instance of the translated/reflected Shem closing role. These source identities must remain separate.

## Existing directed duration paths

For p=`N02` or `N04`, the graph stores the following paths with the same suffixes:

1. `p_c` → `p_b` → `p_f` → `p_spDeath` → `p_mtN` → `p_s`, using edges `p_868`, `p_13`, `p_299a`, `p_299b`, `p_650`. Total: **868+6877+299+299+650=8993**.
2. `p_c` → `p_b` → `p_q` → `p_f` → `p_spDeath` → `p_mtN` → `p_s`, replacing `p_13` by `p_11` and `p_2conq`. Total: **868+5819+1058+299+299+650=8993**.
3. `p_c` → `p_r` → `p_s`, using `p_8395` and `p_598reg`; total **8395+598=8993**.
4. Direct duration `p_17` records the same outer interval; direct `p_7475` and `p_8125` record the later widths from Creation.

The source opening attaches through `N02_opening_member_offset` (width 3) and `N04_opening_member_offset` (width 5). Both begin at `opening_OFF_BC`.

For the negative-branch source specifically, the graph therefore already gives

`N04_cm` → `N04_c` → `N04_b`, widths **598+868=1466**, followed by either retained regular path above. The full path to `N04_s` has width 9591. The alternative `N04_cm` → `N04_r` → `N04_s` uses **8993+598=9591**. This is existing directed graph incidence, not an affine chart invented in C268.

No directed duration path connects `N02_c` to `N04_c`, or vice versa, in the frozen graph. No directed path connects `N04_cm` to `N02_c`. These selected reachability checks use only stored duration edges, with their stored orientation.

## Field arithmetic is not an added graph edge

The closing Flood member follows `N02_c` by 4 years and `N04_c` by 2 years. It is 7 years after the field opening. Its same-side distances to the held N02/N04 Creation members are respectively **864 and866**, because

5283−4419=864; 5283−4417=866.

These are exact comparisons between source-field boundaries. There is no closing node and therefore no stored C127 edge or directed graph path starting or ending at that closing node. One should not label the 4/2 comparisons or 864/866 attachments as existing graph incidence.

Likewise, reversing `N02_opening_member_offset` and then following `N04_opening_member_offset` gives a reversible traversal of signed total **−3+5=2** between their members. It is not a directed duration path. Source arithmetic, reversible use of an equation, and directed incidence are distinct claims.

The original 868 diagonal itself does reach closing base 5283 with **Creation 4415**, as already recorded in C18; it does not retain 868 when Creation 4419 or 4417 is held instead. Preserving the N02/N04 names while substituting closing 5283 must preserve this difference.

## Existing translation and the exact 13K boundary limit

C09 established translation by 7745 on the selected cumulative intervals:

−5287+7745=2458; −5285+7745=2460.

Relative to the local chart x=z+5290, that source comparison is x→x+2455. Closing x=7 would consequently land at 2462. C18 already records this as outside the admitted MT Flood field; no G4 or new source event follows.

There is no duration edge of width 7745 in C127. The translation is an inherited finite endpoint correspondence from C09, and the closing 2462 result is an inherited boundary diagnostic from C18. Neither should be reported as a newly discovered directed edge or a new C269 negative result.

This limit applies to the exact 13K prefix with the diagonal Creation 4415: **4415+2462=6877**. It does not rule out other source-qualified subdivisions of the same closing 17K interval.

## Later inherited C254 closing route

C254's certificate explicitly contains selector s=7:

| Field | Recorded value |
|---|---:|
| D, cumulative LXX OFF Flood | 5283 |
| b, SP Creation | 4415 |
| q, reflected Conquest | 1404 |
| q2, reflected MT Flood | 2460, G3 start |
| x, reflected SP Noah | 3710, G3 primary |

Its chronological source route is

**5284t/5283n BC → 4416t/4415n BC → AD 1404t/1405n → AD 2460t/2461n → AD 3710t/3711n**,

with widths

**868+5819+1056+1250=8993**.

The report expressly calls this a dependent subdivision of the already retained 17K outer interval and states it is not an instruction to add nodes to the frozen graph. Its certificate has `graph_modified=false`. C254 thus supplies inherited later source-route support beyond shared field membership, while C127 still lacks the closing node. These facts coexist without contradiction.

This route uses **6875=5819+1056**, rather than the failed closing 13K width 6877, to reach sourced MT G3 Flood start 2460. The difference of 2 is an explicit change of interior subdivision; it must not be hidden by calling both routes the same 13K chain. None of this establishes that the C268 scales 1196/1300 are themselves chronological source translations or stored graph operations.

## Conclusion

The negative branch's underlying Shem closing already participates in a stored N04 directed path. The positive Flood closing is absent from frozen C127 incidence, but participates in the later source-qualified C254 closing 17K subdivision. The N02/N04 attachments and phase-preserving source comparisons remain useful inherited structure. Their existence strengthens source connectivity without identifying the C268 affine chart with a chronological path or merging the closing member into a different node.