STATUS: D1 parent lifetime theorem → ACCEPT — scoped; re-pin museum and shop projections

STATUS.md

@@ -1,13 +1,14 @@
 # Scientific status snapshot
 
-**Snapshot date:** 2026-09-26  
+**Snapshot date:** 2026-09-29  
 **Purpose:** one human-readable status page for the public front door.  
 **Rule:** this page summarizes source-bound review outcomes; it is not an independent promotion register.
 
 ## ACCEPT — scoped
 
 | Object | Accepted scope | Source and review | Explicit limits |
 |---|---|---|---|
+| **D1 — parent lifetime theorem (Theorems A, B, C)** | Theorem A `0 <= 1-p_r <= C r^3`, uniform over compact births, compact positive gaps and all frames; Theorem B compact-mark candidate/elder densities `~ c_{B,K} ell^(-1/3)` with difference `O(ell^(2/3))`, for `B` and `K` of positive length; Theorem C unrestricted leading term `c_{d,L} ell^(-1/3)`. Fixed `d>=2` and `L`, existential constants, read with the congruence erratum, the Section 9 replacement v1.1, wording W1 and `r < L/(4 sqrt 2)` | [Proof](https://github.com/d6g8k5htny-coder/Math-/blob/82247833b5dd58e04291d55353b52938d73ec614/imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md) · [reconciliation](https://github.com/d6g8k5htny-coder/Math-/blob/82247833b5dd58e04291d55353b52938d73ec614/reviews/d1_chain_reconciliation_20260928/RECONCILIATION.md) · [Math-#126](https://github.com/d6g8k5htny-coder/Math-/pull/126) | No numerical `C`, `r_*`, `z_*` or coefficient; no unrestricted difference rate; this row is confined to the Math- `8224783` reconciliation, whose lower composition is planar (`d=2`); the separately reviewed every-fixed-`d` lower bound `1-p_r >= c r^3` was integrated afterwards by [Math-#129](https://github.com/d6g8k5htny-coder/Math-/pull/129) at `e7f8aca41c308f8ad8614b587f75916943c86f27` and is not part of this row's reconciliation scope; no RN/24-jet certificate |
 | **D2 — unrestricted lifetime remainder** | Theorem R at its stated existential `O(1)` remainder scope: candidate and elder densities have leading `c ell^(-1/3)` term with bounded remainder for sufficiently small lifetime | [Proof](https://github.com/d6g8k5htny-coder/Math-/blob/main/frontiers/three_fronts_20260924/LIFETIME_REMAINDER.md) · [review reconciliation](https://github.com/d6g8k5htny-coder/main/issues/67#issuecomment-5841782206) | No numerical remainder constant or numerical lifetime cutoff; no RN/JETMOD closure |
 | **D3 — SIDE24 coefficient calculation** | The coefficient expression for SIDE24 in dimensions 2 and 3, including cone moments, all-direction periodization comparison, covariance/Schur transfer, and outward special-function arithmetic | [Proof/package](https://github.com/d6g8k5htny-coder/Math-/tree/main/coefficients/side24_v1) · [review](https://github.com/d6g8k5htny-coder/main/issues/65#issuecomment-5841269490) · [reconciliation](https://github.com/d6g8k5htny-coder/main/issues/65#issuecomment-5841779222) | Coefficient arithmetic acceptance is separate from any imported parent theorem and from a finite-radius error band |
 | **D4 — fixed-remote RN count theorem** | Fixed positive spatial separation `rho`, fixed witness separation `eta`, between-pin height window; conditioned covariance, three determinant factors, endpoint normalizer, contact kernel, and fixed-separation factorial moments | [Proof](https://github.com/d6g8k5htny-coder/Math-/blob/main/frontiers/remote_window_20260924/PROOF.md) · [review](https://github.com/d6g8k5htny-coder/main/issues/76#issuecomment-5841783172) · [reconciliation](https://github.com/d6g8k5htny-coder/main/issues/76#issuecomment-5841861362) | Does not cover shrinking `rho` or `eta`, pin neighborhoods, intermediate scales, all remote heights, or global RN/24-jet closure |
@@ -17,7 +18,6 @@
 
 | Object | Current reason | Source |
 |---|---|---|
-| **D1 — parent quantitative Theorem-A selection chain** | Later review accepted the load-bearing §8–§15 interfaces, but the quantitative §§2–§7 selection chain was reopened for independent review. A displayed congruence defect in §5 has an additive erratum and the remaining A1–A7 chain is not reconciled. | [Review issue #63](https://github.com/d6g8k5htny-coder/main/issues/63) · [fail-closed reopening](https://github.com/d6g8k5htny-coder/main/issues/63#issuecomment-5841830743) · [source-first erratum](https://github.com/d6g8k5htny-coder/main/issues/63#issuecomment-5841947606) |
 | **D5 — pin neighborhoods / microdisk** | The public reconnaissance has an AMEND review; the inner microdisk bound and collar to the reviewed annulus are not complete, and the claimed summed pin-neighborhood bound remains AMEND. | [Math proof index](https://github.com/d6g8k5htny-coder/Math-/blob/main/PROOF_INDEX.md) · [Math issue #58](https://github.com/d6g8k5htny-coder/Math-/issues/58) |
 | **SARD-G A1/A6** | A1 remains AMEND as written; A6's slicing argument is conditionally valid but its source application remains AMEND until the required open-chart premise is repaired. | [Successor review](reviews/sard_g_successor_a1_a6_20260926/REVIEW.md) · [current PR](https://github.com/d6g8k5htny-coder/main/pull/122) |
 
@@ -33,7 +33,7 @@ These are useful infrastructure, but they carry **no theorem-acceptance meaning*
 
 ## Where to read — public source custody
 
-The two human maps are this file and the [Math- proof index at the pinned public Math commit](https://github.com/d6g8k5htny-coder/Math-/blob/58f7936d1138b24dd6cc988081d74d07683611d6/PROOF_INDEX.md). Neither file replaces the underlying proof or review.
+The two human maps are this file and the [Math- proof index at the pinned public Math commit](https://github.com/d6g8k5htny-coder/Math-/blob/82247833b5dd58e04291d55353b52938d73ec614/PROOF_INDEX.md). Neither file replaces the underlying proof or review.
 
 For exact source identity, use [`docs/public-math/sources.json`](docs/public-math/sources.json). It indexes **2,138 intended public text artifacts** and points to 14 JSON shards. Each artifact row carries:
 
@@ -45,7 +45,7 @@ The machine catalog at [`meta-framework/registry.json`](https://github.com/d6g8k
 
 ### Default-branch boundary
 
-- Pinned Math reading checkout: `58f7936d1138b24dd6cc988081d74d07683611d6`.
+- Pinned Math reading checkout: `82247833b5dd58e04291d55353b52938d73ec614`.
 - Pinned query checkout: `89456c5033173c69a304c5fffa781888185675cc`.
 - [Math- PR #70](https://github.com/d6g8k5htny-coder/Math-/pull/70) landed nine byte-custody copies at `9d7b6802424fb4715b31999066aafca8ee2f3cca`; [PR #75](https://github.com/d6g8k5htny-coder/Math-/pull/75) added their proof-index pointer. These are public default-branch imports, **not newly accepted mathematics**. Source self-labels were not adopted.
 - The `main#59` issue-body file in PR #70 is explicitly a transcription, not original source bytes, so it is not counted as byte custody.

docs/site/README.md

@@ -43,7 +43,7 @@ See the [deployment and review settings record](../PUBLIC_SHOP_SETUP.md). Pages,
 
 ## Claim cards and exhibits
 
-Open [the verification museum](museum.html). Its small `museum.json` display projection is reproduced by `tools/museum_data.py`; it is not a replacement for the 2,138-row public inventory. The generator preserves all eleven bullets in Math-'s “Reviewed scoped results” and the three STATUS AMEND rows verbatim. An EXACT_COUNTEREXAMPLE retains that label; publication of a source does not make its claim accepted. Where a review is a GitHub comment, the displayed digest identifies the pinned index pointer, not mutable comment bytes.
+Open [the verification museum](museum.html). Its small `museum.json` display projection is reproduced by `tools/museum_data.py`; it is not a replacement for the 2,138-row public inventory. The generator preserves all eleven bullets in Math-'s “Reviewed scoped results”, the reconciled D1 row of STATUS's ACCEPT table, and the two remaining STATUS AMEND rows verbatim. An EXACT_COUNTEREXAMPLE retains that label; publication of a source does not make its claim accepted. Where a review is a GitHub comment, the displayed digest identifies the pinned index pointer, not mutable comment bytes.
 
 The museum binds Math sources to `d6628da09384728992dcbe6e921cc28ba85aebb0` and main source/packet membership to `71400b94f6cb354a8cf7aba73ffede2138a64efa`. The existing board/inventory pin `a26f744be7597e3f0c0543c34ead23049bbac657` and SIDE24 import pin `9d7b6802424fb4715b31999066aafca8ee2f3cca` remain explicit historical identities. Neither changes the README's Math checkout or query checkout. No source fetch selects an AMEND branch.