A Consistency Ledger for the First Black Hole Star, MoM-BH*-1: Two Predictions, Ten Consistency Checks and One Envelope-Mass Test

MoM-BH*-1, a source at redshift z = 7.7569, some 660 million years after the Big Bang, was first identified in a preprint posted 20 March 2025 (Naidu et al. 2025, arXiv:2503.16596) and later published in Nature on 12 August 2026, as a black hole embedded in a dense, dust-free hydrogen envelope: a black hole star. This paper assembles twelve published claims that bear on that identification. Two, from the quasi-star literature of 2006 to 2008 and the UHZ1 direct-collapse claim of 2023, were published before the discovery and are treated as genuine predictions. The remaining ten, drawn from the little-red-dot literature of 2023 to 2026, were published after or alongside the discovery and are treated as post hoc consistency checks. Of the twelve, four consistency checks held, five entries fell, two were not tested by the material available, and one was mixed. Neither prediction survives in its strict published form. This paper's own contribution is a single new number: the envelope mass implied by the fitted hydrogen column at the object's two reported radii, 0.24 solar masses at 40 au and 252 solar masses at 1,300 au, both far short of the black hole mass at every one of the four reported engine masses (10^6 to 10^8.3 solar masses). A quantitative appendix, executed and re-run in full, recomputes every number from named cgs and cosmological constants.