We report observations and modeling of the stellar remnant and presumed double-degenerate merger of Type~Iax supernova Pa30, which is the probable remnant of SN~1181~AD. It is the only known bound stellar SN remnant and the only star with Wolf-Rayet features that is neither a planetary nebula central star nor a massive Pop I progenitor. We model the unique emission-line spectrum with broad, strong O~{\sc vi} and O~{\sc viii} lines as a fast stellar wind and shocked, hot gas. Non-LTE wind modeling indicates a mass-loss rate of and a terminal velocity of 15,000~km,s, consistent with earlier results. O~{\sc viii} lines indicate shocked gas temperatures of MK. We derive a magnetic field upper limit of MG, below earlier suggestions. The luminosity indicates a remnant mass of 1.0–1.65,\rm M with ejecta mass . Archival photometry suggests the stellar remnant has dimmed by 0.5 magnitudes over 100 years. A low Ne/O argues against a O-Ne white dwarf in the merger. A cold dust shell is only the second detection of dust in a SN Iax and the first of cold dust. Our ejecta mass and kinetic energy estimates of the remnant are consistent with Type Iax extragalactic sources.

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