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The searchable claim index covers all 12 core papers with 1159 reading records. Search by title, statement text, source label or recorded Lean name. Filter by paper and statement type, then share the page address or a record’s permanent link.

Paper I retains its 108 correspondence records. The source labels 69 as covered. Papers II through XII index explicit statement blocks in their current TeX manuscripts and literal included sections. The index keeps definitions, conjectures, classical inputs, and numerical certificates distinct from theorems. Historical environments and statements introduced only through macro expansion are outside this extraction. Counts describe reading entries, not the number of proved or formalized results.

A proof link identifies the recorded passage or an immediately following proof block. It does not assess correctness. Paper I’s existing Lean mappings are retained. Lean correspondence for individual claims for Papers II through XII has not been transcribed into this index. Their formal guides, Lean coverage, code and evidence remain linked at paper level. This update performs no new proof review or Lean run.

Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates

Open 108 correspondence records.

Written proofs · Lean · Code · Evidence

Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets

Open 65 written statement records.

Written proofs · Lean · Code · Evidence

Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory

Open 139 written statement records.

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Paper IV: Cyclic Analytic Functions, Reciprocal Families, and Spectral Zero Data

Open 85 written statement records.

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Paper V: Polyphase Signal Calculus

Open 103 written statement records.

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Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

Open 164 written statement records.

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Paper VII: Quantum Seed Calculus

Open 140 written statement records.

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Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

Open 80 written statement records.

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Paper IX: Arithmetic Packets, Dyadic Towers, and Local Polynomial Deformation

Open 79 written statement records.

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Paper X: Universal Residual Seeds and Conditional Occupied-System Completion

Open 37 written statement records.

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Paper XI: Packets, Arithmetic Realization, and Conditional Comparison

Open 90 written statement records.

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Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

Open 69 written statement records.

Written proofs · Lean · Code · Evidence

Realization Calculus

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Proof Path Theory

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Komorebi Methodology

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Large Signal Model

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Special Functions

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Machine Societies

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Certified Inference

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Constructive Repair

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Information Realization

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Komorebi Space

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KZFC and Residual Reflection

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Logical Resolution

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p-adic Canonical Realization

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Realization Boundaries

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Representation Calculus

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Sufficient Resolution

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Machine Native Reasoning

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Quantum and Circuits

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Physics

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COS Method

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COS Method: formal continuation

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Self-Improving Intelligence

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Self-Improving Intelligence: visual guide

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Grounded Abstraction

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Machine Understanding

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Agent Dynamics

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Arithmetic J-Space Training Lab

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J-Space Causal Lab

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J-Space Collections

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Workspace Incubator

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OSL and Neuralese

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OSL and Neuralese: reading edition

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RRCT multispace convergence protocol

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RRCT

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SRIC: external semantic admission

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SRIC: endogenous semantic witness

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Stratified Recursive Improvement Closure

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AVOC

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Hypergraph Lumpability and Bayesian Refinement

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PRISM-1R

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PRISM-1

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Certified Bayesian Inference

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Stratified Relational Workspace Theory

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Machine Theory: formal development

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Machine Native Reasoning: wider continuation

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ABC: global RR8 branch

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ABC: source and evidence reader

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AddMul Arithmetic Reconstruction

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Beal: source and evidence

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Catalan Constant: source and evidence

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Collatz and Riemann: source and evidence

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Euler Signal Bridge

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Gaussian Elimination: collected guide

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Hilbert 12: ambient dual slice

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Hilbert 12: analytic Fourier branch

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Hilbert 12: closure attempt

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Hilbert 12: contracting ambient torsion

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Hilbert 12: cubic divisor development

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Hodge: source and evidence

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Inverse Galois: source and evidence

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IUT Valuation Hulls

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Lehmer: source and evidence

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The Possibility for a Machine Native Mathematics

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Model-Theory Normalization

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Prime-Contact Coherence Calculus

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Resolution Semantics

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Seeded Two-Axis Calculus

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Signal Reconstruction

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Stratified Universality

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Streaming Polyphase Factor Decomposition / SKAT

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Strong Artin: source and evidence

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Universal Generative Deformation Calculus

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Large Signal Model software

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Machine Theory Compendium

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Physics: curvature states

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Physics: energy and backreaction

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Physics: origin locking

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Realization Calculus: twin edition

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