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Our alpha runs 1.03x to 2.08x theirs across the five rows; a constant factor would be a convention, a varying one cannot be. It is why every absolute number in this instrument is labelled `measured`.","status":"measured"},{"id":"AHMN_2312.08608","cite":"AHMN23","label":"Akamatsu-Hirose-Maru-Nago, two Higgs doublets from 6D","group":"SU(4)","orbifold":"T^2/Z_2","publishes":{"content":true,"minimum":true,"higgs_mass":true,"scale":true},"rows_published":1,"where":"minimum (0.438, 0.299); eq. (4.3) for M_W; eq. (4.4) gives 1/R = 303 GeV","screened":"yes","verdict":"the one row in the corpus that our engine reproduces end to end: it lands on their published minimum at (0.437792, 0.298859), their ratio 1.2046 comes out 1.2045, and their own chain returns v = 246.0 GeV and 1/R = 303.0 GeV.","status":"verified"},{"id":"AHMN_2603.05857","cite":"AHMN26","label":"Akamatsu-Hirose-Maru-Nago, the same model with brane kinetic terms","group":"SU(4)","orbifold":"T^2/Z_2","publishes":{"content":true,"minimum":true,"higgs_mass":true,"scale":true},"rows_published":2,"where":"minimum (0.438, 0.299) at c = 0 on p. 16 and (0.46, 0.30) at c = 15 in the caption of Fig. 1; eq. (5.19); the scale on p. 22","screened":"yes","verdict":"their eq. (5.19) at their own c = 15 minimum gives 1171 GeV. The 1.4 TeV they print is that same equation with alpha_2 dropped (1398 GeV, four significant figures). Nine gates, including the one that could have failed: the same formula at c = 0 with their 2023 minimum returns their own published 303 GeV.","status":"measured"},{"id":"hy_0401185","cite":"HY04","label":"Haba-Yamashita, the general 5D SU(N) formula","group":"SU(N)","orbifold":"S^1/Z_2","publishes":{"content":true,"minimum":false,"higgs_mass":false,"scale":false},"rows_published":0,"where":"sections 3 and 4 work four models in full, but their section 11 calls analysing the vacuum structure the hard part and leaves it","screened":"yes","verdict":"the machine every model in this corner is built on, and it publishes no minima at all -- which is why the instrument's SU(N) builder is a builder rather than a table. All seventeen of its explicitly printed potentials are reproduced from section 5 alone.","status":"theorem"},{"id":"hhk_0309088","cite":"HHK04","label":"Haba-Hosotani-Kawamura, equivalence classes on S^1/Z_2","group":"SU(N)","orbifold":"S^1/Z_2","publishes":{"content":true,"minimum":false,"higgs_mass":false,"scale":false},"rows_published":0,"where":"the classification and its energetics, eq. (3.27); no phenomenological table","screened":"yes","verdict":"formal. Its C(N+3,3) conditions, (N-1)N(N+1)/6 relations and (N+1)^2 classes are reproduced here at every N up to 14 as a property of the orbits walked, not as a quoted theorem.","status":"verified"},{"id":"ti_2401.09809","cite":"TI24","label":"Takeuchi-Inagaki, a new classification of equivalence classes","group":"SU(N)","orbifold":"S^1/Z_2 and T^2/Z_3","publishes":{"content":true,"minimum":false,"higgs_mass":false,"scale":false},"rows_published":0,"where":"trace conservation laws, which their own text calls powerful NECESSARY conditions","screened":"yes","verdict":"formal. On S^1/Z_2 the traces name the class; on T^2/Z_2 up to four classes share a triple and on T^2/Z_3 up to seven, measured here. Their own word is `necessary`, and it is the right one.","status":"measured"},{"id":"ti_2404.19411","cite":"TI24b","label":"Takeuchi-Inagaki, trace conservation laws on every T^2/Z_m","group":"SU(N)","orbifold":"T^2/Z_m (m = 2, 3, 4, 6)","publishes":{"content":true,"minimum":false,"higgs_mass":false,"scale":false},"rows_published":0,"where":"section 5: a sum over configurations and a closed polynomial for each orbifold, and their Table 2","screened":"yes","verdict":"formal, and it closes what this project had standing as open: the classification on T^2/Z_4 and T^2/Z_6, off-diagonal classes included, with exact counts. Their T^2/Z_3 count reproduces ours at N=4 (477). Their section 5 states each count twice; for T^2/Z_2, Z_3 and Z_4 the two agree, and for T^2/Z_6 they agree only up to N=6 -- the range their own Table 2 covers -- and part company from N=7. Measured, not resolved: which of their two statements is the intended one.","status":"measured"},{"id":"hep-th_0204223","cite":"VGIQ02","label":"von Gersdorff-Irges-Quiros, bulk and brane radiative effects","group":"SU(N)","orbifold":"S^1/Z_2","publishes":{"content":true,"minimum":true,"higgs_mass":false,"scale":false},"rows_published":0,"where":"critical N_f and the vacuum structure; no Higgs mass and no compactification scale","screened":"yes","verdict":"one of the two anchor routes that are in print, and live in the instrument. Its four critical N_f are recomputed exactly. One discrepancy is declared and NOT resolved: our SU(3) value is 1/3 exactly on the Z_3 centre against their printed 0.29.","status":"unknown"},{"id":"KKKY_2502.08250","cite":"KKKY25","label":"Kawamura-Kodaira-Kojima-Yamashita, rank-reducing discrete boundary conditions","group":"SU(N)","orbifold":"T^2/Z_4","publishes":{"content":true,"minimum":false,"higgs_mass":false,"scale":false},"rows_published":0,"where":"eqs. (5.12)-(5.17), the quartet charge multisets per representation","screened":"yes","verdict":"formal. Used here as a source of representation data, not of a phenomenological row.","status":"theorem"}],"curated_note":"Rows a person has read. Each names the page or equation the claim comes from, and each `publishes` field is what that paper actually prints -- not what it could in principle be asked for. A paper absent from this list has not been read, and the census says so rather than leaving a blank that reads as a no.","coverage":{"curated_rows":9,"of_corpus":85,"shortlisted_but_not_read":["2409.16137","ccd24_2409.16137","hep-ph_0304220","hep-ph_0510366","kty23_2304.05701","twoloop_0709.2844"]}}