Independent manuscript review: inverse, Rounded and Keys

Numerical pass. Two local scope and anchor clarifications are recommended before adoption. No numerical replacement, new research or restructuring is needed.

I read all 5,963 words of draft/Connected_Explanation_v1.md and checked the inverse and Key claims against the frozen claim index and source bindings. This review applies to manuscript SHA-256 f5caac4f7bba76debfeb7853fa788eb9dff5bc34e8d50883b8a5beafae08d086. The accompanying JSON records all 22 successful checks, the 14 unchanged source bindings and the exact evidence.

Clarifications to adopt

Declare the register hypothesis in the main text (line 205). “Under the declared trailing-zero register” refers to a condition that the compressed main paragraph does not actually state. The theorem concerns two original spans, each ten times a three-digit core ending in a nonzero digit. Within this register, total 2700 forces transformed total 10620; total 12600 permits 10620 or 11610, and the source cores 917 and 343 select 10620. State this exact scope in one or two sentences. It does not assert the result for every partition of either total, nor for every component of the later four-path table. Evidence: claim FIK06; C938–C947; inherited regular and cumulative register theorem models.
State the held openings in the SP rectangle (line 130 onward). The initial intervals are measured to Exodus 1446, but the expansion holds the source openings 4206 and 13406 fixed. The resulting lower comparison endpoint is 1406 on both routes. The arithmetic is correct; “Exodus anchor” and “Radius from 1446” could suggest that 1446 remains the fixed pivot. A concise clarification is: “Hold each source opening fixed—4206 in the Regular route and 13406 in the Cumulative route—and expand its interval to 1446. Both resulting lower endpoints are 1406.” The final table column can be called “Resulting comparison endpoint.” Evidence: C1226; model/SP_rectangle_source_to_keys.json, especially same_held_heads.

Optional reader improvements

At the first E/P/J definitions (line 243), name the Priestly, Prophetic and Enochian Keys beside their ratios.
At line 256, write “Every nonempty proper prefix” to exclude the zero-length held starting anchor explicitly.

Verified relationships

The four-path table preserves every original duration and its inherited one-pass image. All four transformed totals are 14720, and the Nativity 6 anchor therefore gives 14726. The transition from the Conquest-held 12026 backbone retains the original 1400 tail, its 4100 image and the change of anchor; it does not substitute a numerical coincidence for the original path.

The 1:4 bridge keeps Actual and Rounded states distinct. Actual parts are 1978 and 7912, totaling 9890; Rounded parts are 1980 and 7920, totaling 9900. The expanded Actual parts are 2150 and 8600. Rounded-to-Actual movement is correctly directed as C −2 and R +8, with strict Actual 4112 distinguished from standard Actual 4114. The separate Conquest-held cumulative Flood companion 4836 remains explicitly anchored, so it is not confused with a completed Nativity-path prefix.

The calendar comparison correctly gives 336E = 360P = 364J = 8400/23. Applied to total 14720, the three counts are 16000, 44800/3 and 192000/13, with common calendar volume 5,376,000. The text distinguishes the source-licensed E completion from conditional P/J comparisons. Every positive-length internal prefix has a nonzero residue modulo 23, so rational intermediate E coordinates do not constitute a uniform integral date map. The endpoint 14726 remains distinct from the E-expanded endpoint 16006. The 529 ladder is correctly described as a duration relation, 10580 → 11500 → 12500.

Attribution and readability

The manuscript correctly treats the 12026 backbone, inherited one-pass paths and calendar completion as prior results. The new contribution is the full-genealogy source interface that recovers their original inputs. The equal coordinates 2456 and 4106 retain separate source and generated roles.

The Moses-to-inverse and inverse-to-Key transitions are coherent. The compact four-path comparison does the explanatory work without reproducing the full boundary catalogue. The Covenant and counted-family transitions preserve their different source roles. Apart from the two precise clarifications above, the inverse/Key sequence needs no restructuring.

A second independent reader, round_joint_proof, agrees with these two clarifications and found no additional arithmetic, state or anchor error. No root file or existing preparation artifact was edited, and this review performed no new endpoint search, target tally or deferred decimal operation.