Description: This paper presents a comprehensive quantitative analysis of Rincoin's emission schedule, introducing a novel "Customized Halving" mechanism. We evaluate four distinct emission scenarios: a baseline model and three alternative halving curves. The analysis demonstrates that, accounting for coin loss (e.g., lost private keys), the effective circulating supply in all scenarios will converge asymptotically to Bitcoin's 21 million limit over a horizon of 443–703 years. Version Policy & Roadmap: This manuscript is maintained as a living document to ensure currency. While minor revisions will be applied as necessary, future major upgrades are planned to introduce novel consensus algorithms and further enhancements. Verification: The integrity of this document is secured by a triple-verification system (DOI, Bitcoin Timestamp, and Digital Signature). Verification data is available in the attached files. Contact: Community feedback is welcome via email (edu@eumira.org), Discord (@aevustus), or X/Twitter (@aevust).