TFPT scientific source excerpt
Original repository path: verification/status_ledger.csv
Original file SHA-256: 8723b921bdc50a6157acc6bee4342b40586eb89bec6d7dcc0abc3309562c78b4
Inclusive original lines: 205-205
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000205 | FLAV.H2.04,"THE ADDRESS TABLE IS PINNED (the FLAV.H2.03 per-fermion item closed at the information level; exact census theorem): (1) THE WORD TABLE IS THE RESIDUE OPERATOR [I]: the established identity L = R + 2U (FLAV.DIAMOND.02, U = winding axis N_fam 1 e_1^T) says the word-length table IS L[sector][generation] with rows (up; down; lepton) = ((7,3,0); (7,5,2); (8,5,3)) = the v18/v20 word lengths verbatim; the addresses are R's entries plus one hexagon turn for generation 1, and R's first column is THE ANCHOR a = (1,1,2) - the first-generation residues are the anchor components. (2) THE MARGINS ARE ATOMS [I]: row sums of R = (4, 8, 10) = (e1, rank E8, p3); column sums = (4, 13, 5) = (e1, Delta_Q, g_car); total 22 = 2x11 (ARCH.TRIAD.01). (3) PINNING THEOREM [I, exact census]: among ALL 3x3 matrices with entries in the hexagon {0..5}, exactly 17 have the atom margins, and exactly ONE has det = 8 = rank E8 - and it is R (the same one is the unique one with SNF (1,1,8); all 17 determinants are distinct, 8 occurs once - control computed explicitly). The per-fermion assignment table carries ZERO residual information beyond the atom margins and the rank determinant. (4) within-sector assignment = the established transport reading (m ~ lambda_Y^L, longer word = lighter fermion). (5) RESIDUE [P] (recorded): the open H2 item shrinks from 'derive 9 per-fermion integers' to 'derive the six atom margins + det = rank'. FIREWALL: R, L and all word lengths were frozen in v4/v18/v20/v71 long before today's census - no degrees of freedom spent",Identity [I] (exact census/uniqueness theorem on frozen operators) + Physical [P] (margins),tfpt_research_contracts,FLAV.H2.03; FLAV.DIAMOND.02 (L = R + 2U); FLAV.H2.01; ARCH.TRIAD.01; v18; v20; v71,v121_address_pinning.py,-,,Theorem: R = unique hexagon matrix with atom margins + det 8; address table = R + first-generation winding; H2 residue = the margins,true