GIR-SPEC-001: Geometric Identity Ratification
Travis L. Guckert
LeMay Publishing
STANDARDS
GIR-SPEC-001: Geometric Identity Ratification
Security Standard14,609 words109 chapters
Published by LeMay Publishing. 14,609 words across 109 chapters.
About This Publication
Formal specification for the GIR deterministic perception system, SHA-256 proof certificates, and axiom constitution.
Published by LeMay Publishing, a division of LeMay. Massachusetts.
ISBN: 979-8-0000-5004-0
Chapters
1GIR-SPEC-001
2Geometric Identity Ratification
3Formal Specification for the GIR Deterministic Perception System, SHA-256 Proof Certificates, and Axiom Constitution
4DOCUMENT APPROVAL AND REVISION HISTORY
5TABLE OF CONTENTS
6LIST OF FIGURES AND TABLES
7FOREWORD
8NORMATIVE REFERENCES AND DEFINITIONS
9Normative References
10Key Definitions
11SCOPE AND PURPOSE
12Scope
13Purpose
14Limitations
15PART I — FOUNDATIONAL ARCHITECTURE
16Chapter 1: Introduction to Geometric Identity Ratification
171.1 Motivation and Historical Context
181.2 Architectural Overview
191.3 Notational Conventions
201.4 Conformance Model
21Chapter 2: The Axiom Constitution
222.1 Constitutional Principles
232.2 Perception Axioms (PA-1 through PA-3)
242.3 Manifold Axioms (MA-1 through MA-3)
252.4 Transformation Axioms (TA-1 through TA-3)
262.5 Proof Axioms (PrA-1 through PrA-3)
272.6 Axiom Independence and Consistency
28Chapter 3: Deterministic Perception System — Core Theory
293.1 System Definition
303.2 Observation Function Specification
313.3 Normalization Function Specification
323.4 Projection Function Specification
333.5 Determinism Guarantees
34PART II — CRYPTOGRAPHIC PROOF FRAMEWORK
35Chapter 4: SHA-256 Proof Certificate Architecture
364.1 Certificate Purpose and Properties
374.2 Certificate Structure
384.3 Hash Chain Construction
394.4 Certificate Size Considerations
40Chapter 5: Certificate Generation Protocol
415.1 Protocol Overview
425.2 Phase 1: Observation Capture
435.3 Phase 2: DPS Execution
445.4 Phase 3: Derivation Trace Construction
455.5 Phase 4: Certificate Assembly
465.6 Phase 5: Integrity Sealing
475.7 Genesis Certificate
48Chapter 6: Certificate Verification and Validation Chain
496.1 Verification Versus Validation
506.2 Verification Protocol
516.3 Validation Protocol
526.4 Partial Verification
536.5 Verification Failures
54PART III — GEOMETRIC IDENTITY PRIMITIVES
55Chapter 7: Identity Manifold Construction
567.1 Manifold Instantiation
577.2 Parameter Selection
587.3 Identity Capacity
597.4 Coordinate Charts
607.5 Singularity Handling
61Chapter 8: Canonical Form Resolution
628.1 The Canonicalization Problem
638.2 Admissible Transformation Group
648.3 Canonical Form Computation
658.4 Canonical Form Properties
668.5 Computational Complexity
67Chapter 9: Transformation Invariance Proofs
689.1 The Invariance Guarantee
699.2 Proof of Invariance for a Single Spherical Factor
709.3 Extension to the Product Manifold
719.4 Transformation Detectability
72PART IV — OPERATIONAL SPECIFICATION
73Chapter 10: System State Machine and Lifecycle
7410.1 System States
7510.2 State Transitions
7610.3 Lifecycle Events
77Chapter 11: Interface Specification and Wire Protocol
7811.1 Interface Overview
7911.2 Wire Protocol Frame Format
8011.3 Message Types
8111.4 Protocol Requirements
82Chapter 12: Error Taxonomy and Recovery Procedures
8312.1 Error Classification
8412.2 Error Code Enumeration
8512.3 Recovery Procedures
86PART V — CONFORMANCE AND COMPLIANCE
87Chapter 13: Conformance Levels and Certification
8813.1 Conformance Level Definitions
8913.2 Conformance Declaration
9013.3 Certification Process
91Chapter 14: Test Vectors and Reference Implementation
9214.1 Purpose of Test Vectors
9314.2 Test Vector Categories
9414.3 Reference Test Vectors (TV-1 Normalization)
9514.4 Reference Test Vectors (TV-5 Hash Chain)
9614.5 Reference Implementation
97Chapter 15: Security Considerations and Threat Model
9815.1 Threat Model
9915.2 Security Assumptions
10015.3 Quantum Computing Considerations
10115.4 Side-Channel Considerations
102BACK MATTER
103Appendix A: Formal Notation and Symbology
104Appendix B: Complete Axiom Enumeration
105Appendix C: SHA-256 Proof Certificate Schema (ASN.1)
106Appendix D: Reference Test Vectors
107Bibliography and References
108Glossary of Terms
109Index