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In this paper, we propose a times-based model for Group-centric Secure Information Sharing(g-SIS). The traditional approach to information sharing focuses on attaching attributes and policies to an object as it is disseminated from producer to consumers in a system. In contrast, group-centric sharing brings subjects and objects together in a group to facilitate sharing. In such contexts, authorizations are influenced by the temporal ordering of subject and object group membership. For instance, some subjects may only get future information added to the group while others may also be able to access previously added information. But g-SIS does not consider the constraint of the times that subject access to object. For example, a secure meeting room is open only at 8:00-10:00 am and 15:00-17:00 pm every Monday. And user can only join the meeting in the intervals. We develop a times-based model for group-centric information sharing that considers the times of subject accessing to object. We also discuss a usage scenario to illustrate practical application of secure subscription system.