Hashchain and lineage calculus

Identity-time continuity is represented as a hash-linked sequence of private runtime events. A copied state can be detected as lineage conflict without claiming physical non-clonability.

h_t = H(id_u || fp_u || h_{t-1} || e_t)

Public interpretation

This note presents a public-safe mathematical view of Zarvok as a private individual AI runtime. It intentionally avoids internal ports, private infrastructure coordinates, secret artifact hashes, and operational deployment details.

Key points

Each event links back to the previous state.
Mutation breaks chronological validation.
State-copy detection is lineage control, not a claim that software cannot be copied.

Claim boundary

ATRUVAI describes this as software runtime architecture. It does not claim biological life, legal personhood, subjective consciousness, or absolute privacy.