Unified Rigidity Framework Textbook Build make pdf make clean Release make release

DOI: 10.5281/zenodo.18826977

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Structural Map

The URF Textbook is organized as follows:

• Core Invariants (Entropy, Capacity, Depth, Spectral Gap)
• Operational Rigidity Principle
• Non-Amplification and Capacity Bounds
• Entropy Depth Lower Bound
• Terminal Obstructions (Cyclone)
• Applications and Reductions

See:

• tex/chapters/structure_overview.tex
• tex/appendices/dependency_graph.tex
• ROADMAP.md for planned extensions.

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Citation and Archival

This repository is part of the Unified Rigidity Framework (URF) research program.

For citation information see:

docs/citations/CITATION.md

A DOI archival record is available via Zenodo for reproducible citation of repository releases.

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Documentation

A complete documentation map is available here:

docs/index/DOCUMENTATION_INDEX.md

This includes:

• framework overview

• invariants and structural lemmas

• open problems

• reproducibility artifacts

• bibliography and related work

• worked examples

• referee guide

• IECP Test Protocol

• IECP Frontier

• Complexity / Chronos / EntropyDepth Frontier

• IECP Local Branching Lemma Sketch

• Finite Local-Pattern Compression Lemma Sketch

• Hard Family Specification

• Dependency Graph

• Chronos Core

Canonical routing

This repository is the exposition and release-facing documentation layer for URF.

Canonical authority for URF definitions, theorem statements, dependency ledgers, and closure claims remains in urf-core.

Community-additive examples, tests, implementations, and non-canonical extensions belong in urf-core-community.

Independent Forks and Verification

Independent forks, reproducibility checks, adversarial review, issues, and pull requests are welcome.

Start here:

• Call for Independent Forks and Verification
• Canonical discussion thread

External status

This repository is governed by docs/status/EXTERNAL_STATUS_LOCK.md. Build success, CI success, dashboards, ledgers, axioms, admits, sorry, or placeholder witnesses do not constitute theorem-level closure.

Documentation Source-of-Truth Status

Status: Documentation / Textbook Surface

This repository is an exposition surface. It does not independently prove mathematical claims.

Theorem-status rule:

• Every theorem-level claim must inherit from a buildable formal source repository.
• The inherited source must identify repository, commit or release, file path, theorem/artifact name, and status label.
• Build success, LaTeX success, dashboards, badges, ledgers, or textbook exposition do not constitute theorem-level proof.

Source-of-truth document:

• docs/status/SOURCE_OF_TRUTH_2026_04_27.md