Emerging civic technologies can support civil society and the state toward participatory democracy. They offer citizens alternative tools for online participation or e-participation. In this study, we explore the socio-spatial dynamics of an e-participation activity in a city's policy-making process through the artifice of the network analyses. We build upon the idea of a network conceived as an object of human action, considering its social, technical, and spatial elements. We propose a conceptual framework to translate the geographic network of an e-participation activity in the city's policy-making process constituted by six dimensions: vocation, technology, institutional design, spatiality, participation, and the deliberative system. The case study applies the framework to the Mudamos application in the city of João Pessoa, in the State of Paraíba, Brazil. This e-participation tool facilitates digital signatures for Citizen Initiative Draft Bills (CIDB). Despite initial technical, institutional, and financial support, the app did not deliver its potential value. The reasons for low adoption are the lack of economic resources, low levels of civic skills, discontinuation of citizen recruitment, and discontinuation of the partnership between the control agents. Furthermore, socio-spatial inequality was critical in users' access and participation. Our findings suggest that the development of state capacities and participatory literacy are crucial to the success of e-participation initiatives. Consequently, the proposed framework and its application serve as a valuable starting point for researchers and policymakers seeking to understand the socio-spatial relationships involved in this process, offering knowledge to address digital inequalities and increase the effectiveness of e-participation initiatives.