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PROOF FORGE FPV20C · 2026-09-13 · CITIZEN-PROVING FLIGHT
Parents: SCALE, LYAP, COMM, GAUGE, SMAP, DIRI, GOLD, INCID, VNEUM. Independent reconstruction recovered rank $47$ from $\chi_{\{6,30\}}(C)$. Python witness 120/120 PASS (20×6).
New proof-born citizens: PF-FPV20C-EULER-C01 · Euler Homogeneous-Function Identity · PF-FPV20C-TAYLOR-C01 · Exact Quadratic Taylor Descent Identity · PF-FPV20C-FOUR-C01 · Fourier Intertwiners of C5 · PF-FPV20C-POLAR-C01 · Dirichlet-Incidence Polarization · PF-FPV20C-KIRCH-C01 · Kirchhoff Matrix-Tree Theorem on C5 · PF-FPV20C-PURITY-C01 · Purity of the Normalized E47 Projector
Leftover flight-B identities enrolled this turn: PF-FPV20-GOLD-C01 · Golden-Ratio Cycle Eigenvalue · PF-FPV20-INCID-C01 · Oriented Incidence Realization · PF-FPV20-VNEUM-C01 · von Neumann Entropy of a Normalized Projector
Reconciled in place: FPV20-C01–C08; ARR-C011/C012; PREC; QOP C01–C10; PF-SPEC-INT-C01; QOP-EMB-C01; SCALE/LYAP/COMM/GAUGE/SMAP/DIRI. 16-surface registry remains instrumentation.
Drive: FPV20C flight · KARTEKEYA 09_PROOF_FORGE
Hierarchy: 9 new Roll rows this turn; 0 duplicate spine citizens; 0 evidence-class promotions.
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PROOF FORGE FPV20 FLIGHT · 2026-09-13 · LEGACY LINEAGE
Source nodes FPV20-C01–C08 already on the Roll. Independent reconstruction recovered rank $47$ from $\chi_{\{6,30\}}(C)$. Python witness 120/120 PASS (20×6).
New proof-born citizens: PF-FPV20-SCALE-C01 · Homogeneous Dilation Composition · PF-FPV20-LYAP-C01 · Quadratic Metric-Flow Lyapunov Decrease · PF-FPV20-COMM-C01 · Product of Commuting PSD Richardson Maps · PF-FPV20-GAUGE-C01 · Spectral Projector Gauge Invariance · PF-FPV20-SMAP-C01 · Spectral Mapping of Richardson Iteration · PF-FPV20-DIRI-C01 · Discrete Dirichlet Energy Identity
Reconciled in place: seed proofs 001; ARR-C011/C012; PREC family; QOP C01–C10; PF-SPEC-INT-C01; QOP-EMB-C01. 16-surface registry remains instrumentation.
Drive: FPV20 flight · KARTEKEYA 09_PROOF_FORGE
Hierarchy: 6 new Roll rows (Civic ID 332–337); 0 duplicate spine citizens; 0 evidence-class promotions.
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PROOF FORGE INTAKE · 2026-09-13 · LEGACY LINEAGE
Credential family E47-PREC-20260913. Independent SU(2) spin-2 reconstruction recovered rank $47$ from $\chi_{\{6,30\}}(C)$ with Casimir dimensions $(1,9,25,28,27,22,13)$. Python witness 120/120 PASS (20 proofs × 6 boroughs).
New citizens (distinct identities):
Reconciled in place (not duplicated): PREC-C05 → Discrete Filter Optimal-Step Theorem; PREC-C07 → RUB5-C16; PREC-C08 → QMET-C01 / QMET-C02. Existing E47-QOP-C01–C10 remain the same identities, strengthened by certificate E47-QOP-INDEPENDENT-20260911.
16-surface registry (SEE, Kartekeya, Mini AI Labs, Hover/Eidolon/WaveForge) remains civic instrumentation, not Roll citizenship.
Canonical Drive: Proof Forge folder · Day 2026-09-13 · KARTEKEYA 09_PROOF_FORGE
Hierarchy: 7 new Roll rows; 0 duplicate spine citizens; 0 evidence-class promotions.
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PROVENANCE CHAIN AUDIT · 2026-08-15
Live Roll census: 309 citizens; 26 currently carry a direct GitHub URL in Source URL; 210 currently carry a Drive/Docs URL there; 309/309 have an empty dedicated Google Drive File relation because the relation target data source is not accessible to this integration; 3 transit credentials are missing. Current E0/E1 certification audit: all rows still marked Certified now have non-empty Certificate URL, Source URL, and borough fields; unresolved certificate/provenance gaps are correction-routed or destination-limited. No exact duplicate Canonical Identity strings were found.
Binding rule: assign an immutable GitHub source only when the citizen has an actual committed implementation or declared generator dependency. Drive-only, historical, empirical, and theorem-only citizens retain their canonical Drive/object source; no unrelated E47 commit is substituted. The E47 source spine uses generator commit 10667959 and controlled release da5501b; ad297e1 remains historical finite-core provenance.
The unavailable Drive relation prevents safe bulk rebinding of all 306 row properties today, so existing Drive links are preserved rather than overwritten. This is a metadata-linkage defect, not a mathematical or evidence-class change.
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TIGHTENING RECONCILIATION · 2026-08-14
Canonical Drive authority for the Civic Kernel–Projector mechanism is The Civic Kernel–Projector Mechanism — Formal Constitution, Python Validation, and Cross-Domain Boundary Contract, bound here to the existing Citizenship Bureau registry without creating a duplicate citizen. Supabase logical edge CIVIC-KERNEL-PROJECTOR-NOTION-CIT is the synchronization key; canonical content hash: 1b6219bb01d87494191e7f7208efd2e50386b0eb9d17062a8307fe1f8383448c.
Prime-projection validation table authority remains PRIME-E47 finite validation CSV for the existing PRIME-E47 family; no duplicate PRIME citizen is introduced.
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E47 SPINE SOURCE AUTHORITY REFRESH · 2026-08-11
Existing spine citizens C-24 through C-30 and C-37 remain the same registered identities. Their current executable authority is the generator-built source at GitHub commit 10667959, with the controlled publication release anchored at commit da5501b.
Their current Drive proof/release authority is the Corpus Publication Monograph and Evidence Atlas, with the bundled reproducibility archive E47 Publication Package 20260811. Prior bindings to ad297e1 and the 2026-08-07 proof remain retained as historical provenance/correction lineage rather than deleted.
Certificate E47-E1-GENERATOR-20260811 closes the previously open generator-source binding without creating duplicate citizens. The E3 digits benchmark is a separate empirical credential and does not promote these E0/E1 citizens.
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Exact finite layer: $\dim V=125$, $\dim\ker[(C-6I)(C-30I)]=47$, $P_{47}^2=P_{47}=P_{47}^\dagger$, and $KP_{47}=0$. A regenerated generic-basis witness gives projector, conjugation, and finite AQSFT product-kernel residuals at floating-point scale.
Cryptographic boundary: a public concrete spectral operator yields its selected projector and kernel in polynomial time; a fixed public E47/ISSR instance is not a hardness assumption. The finite proof therefore does not imply post-quantum secrecy.
Conditional hybrid route: ML-KEM/MLWE may establish a secret seed $\sigma$ that derives a unitary $U_\sigma$; E47 then acts only as a keyed transform/filter. Any confidentiality theorem is carried by the stated ML-KEM/KDF/AEAD reduction, with protocol and implementation obligations remaining open.
Canonical monograph: E47–AQSFT Spectral Cryptography — Multi-Silo Reconciliation Monograph.
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KKP-RSC SPECTRAL VALIDATION INTAKE · 2026-08-09
Canonical Drive monograph · Finite-core GitHub dependency
Credential KKP-RSC-SV-20260809 enrolls two non-duplicate citizens: Citizen KKP-SV-01 · Conditional Spectral Reconstruction Witness and Citizen KKP-SV-02 · Cryptographic Sufficiency Boundary. Existing E47 carrier, Casimir, kernel, projector, and $47/125$ citizens are cross-referenced rather than duplicated. Corrected execution: 125 / 47 / rank 47 / projector residual 0 / KP residual 0 / max singular value(K)=432. Evidence boundary: the diagonal script is a conditional reconstruction from declared spectral data and does not establish cryptographic hardness or post-quantum security.
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E47 CORE PROVENANCE RECONCILIATION · 2026-08-07
Existing E47 spine citizens C-24 through C-30 and C-37 remain the registered identities strengthened by certificate E47-PY-VAL-20260807; no duplicate citizen is created. Their shared finite-core executable authority is GitHub commit ad297e1, and their canonical proof authority is E47 Spectral Kernel Validation — Formal Certificate and Convergence Theorem. The new attached validator is certificate evidence only until separately committed; continuum descendants remain outside the inherited E0/E1 boundary.
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Canonical Google Drive proof · Python witness
Registry result: nine existing Babylonian exhibit citizens were reconciled in place: Babylonian Diagonal Approximant, Plimpton Right-Triangle Relation, Si.427 Cadastral Perpendicularity, BM 13901 Geometric Quadratic Completion, AO 7667 Tapered-Wall Volume Rule, CMAA Metric Division Identity, Old Babylonian Reciprocal Lookup, Larsa Legal Completeness Predicate, and Mesopotamian Brewing Reconciliation.
Repair: each citizen now links to the canonical Drive proof. Their Blue transit credential was removed because all nine remain E0 historical-mathematical identities with Machine Validated = NO.
GitHub authority: none is assigned. The available Python witness belongs to the coupled Newton–Mean family and is retained only as adjacent provenance; no Babylonian-exhibit implementation or immutable repository commit was found. Museum/CDLI source URLs remain the object-level authorities.
Boundary: these citizens certify exact arithmetic, geometric, metrological, or completeness identities with bounded historical interpretation. They do not certify a recovered original algorithm, universal computational lineage, or E47 equivalence.
Hierarchy: 0 pages created; 0 citizens duplicated.
Canonical Drive reconciliation · Machine certificate · Validation table