Cross-Session Internet Task Continuity: Maintaining Autonomous Task State Across Disconnected Interactions and Digital Environments

The increasing development of generative artificial intelligence, autonomous agents, and intent-driven Internet systems is creating opportunities for digital systems to undertake complex tasks that extend beyond individual interactions. Many Internet tasks require multiple execution stages, interactions with heterogeneous digital services, information collection, decision-making, and subsequent verification. However, conventional conversational and task-oriented systems frequently organize execution around individual sessions or temporary interaction contexts. When a session ends, an execution environment becomes unavailable, or a user returns through a different interface, previously accumulated task progress may not be directly accessible or operationally recoverable. Consequently, systems may need to reconstruct previous activities, repeat completed operations, rediscover relevant information, or request that users provide previously established context. This paper proposes Cross-Session Internet Task Continuity (CSITC), a conceptual framework for maintaining autonomous Internet task execution across disconnected interactions and digital environments. Rather than treating historical conversations as the primary unit of persistence, CSITC treats the task execution state as an independently maintainable computational object. Its central principle is that the termination of an interaction session should not necessarily imply the termination of the underlying task, and the initiation of a new session should not require the reconstruction of the entire task from conversational history. To operationalize this principle, the paper introduces a Persistent Task Execution State (PTES) model that captures task identity, original intent, execution objectives, constraints, contextual information, decomposed subtasks, completed operations, pending activities, execution dependencies, collected evidence, provenance information, verification status, and recovery requirements. The proposed Cross-Session Task Continuity Architecture comprises eight interconnected functional components: task identification and continuity management, execution-state representation, persistent state recording, checkpoint generation, state reconstruction, recovery-aware task resumption, cross-environment coordination, and continuity verification. The framework further introduces a checkpoint-based task lifecycle in which execution progress is periodically or event-triggeredly persisted, interrupted tasks are reconstructed from their latest valid states, and previously completed operations are distinguished from operations requiring repetition or revalidation. An important design consideration is that persisted information should not automatically be treated as permanently valid. Time-sensitive information, external service conditions, authorization requirements, and potentially irreversible operations may require renewed verification before execution resumes. The paper examines potential advantages concerning reduced task repetition, preservation of accumulated research progress, improved long-horizon task execution, cross-session consistency, reduced user coordination requirements, recovery from interrupted workflows, and interoperability across heterogeneous digital environments. It also discusses the relationship between task continuity, conversational memory, autonomous agents, workflow management, distributed checkpointing, and fault-tolerant computing. Importantly, CSITC is not defined as a conventional long-term conversational memory system or merely a mechanism for storing previous interaction histories. It is conceptualized as a task-oriented persistence and recovery framework that maintains the operational continuity of autonomous Internet activities independently of the interaction sessions through which those activities are initiated and resumed. This paper develops the conceptual architecture, state representation, execution lifecycle, recovery mechanisms, research propositions, and evaluation methodology. It presents a research framework and does not claim completed experimental validation or demonstrated performance superiority.