Proof-of-Holonic-Trust 3.0: Operational Semantics, Dynamic Embeddings, and Verifiable Profiles for the RC1 DAG Trust Primitive

The RC1 Canonical Specification (Prinsloo, 2026 — DOI: 10.5281/zenodo.18153750) defines Proof-of-Holonic-Trust (PoHT) as an immutable directed acyclic graph (DAG) primitive in which trust is explicit, observable, composable, and verifiable — never a score, identity proxy, or probabilistic belief. PoHT 3.0 operationalizes this foundation by (i) introducing monotonic update semantics under partial observability, (ii) temporal graph embeddings for scalable, context-aware propagation, and (iii) three neutral implementation profiles that preserve RC1 role separation while enabling deployment in AI governance, institutional supervision, and complex adaptive systems. A live 6-holon simulation (included as poht_demo.py) and complexity analysis (O(|E| log |H|) per epoch) confirm practicality. These extensions deliver verifiable agent execution and cross-domain auditability without violating any RC1 non-goal. This is the official operational companion to RC1. All extensions are neutral and reference RC1 verbatim. Reference implementation and DAG diagram included.