The published foundations of TFPT

ARF.ROOTCLASS.01Exact [E] finite census kill -- the fired preregistered physical kill; the fence is binding on all main claims (Python-only per GATE.WOLFRAM.02).

ARF.BOUNDARY.CODE.01Exact [E] finite selection chain (census / Construction A / Arf selector, all exact arithmetic) + OPEN research contract [O]: derive the doubly-even self-dual universe premise from the seam axioms; NO P2-removal claim (Python-only per GATE.WOLFRAM.02).

QGEO.GRIDSUP.01Theorem-level [E] closure of residue (a) in the corrected (1 + ln M) form (exact twisted-circulant + summation-by-parts + census, zero violations); the v715 literal clause corrected; residues (b)/(c) open; GATE.QGEO does not move (Python-only per GATE.WOLFRAM.02).

GNET.GNSLIMIT.01Exact [E] finite coherence data + exact [E] dim law + measured [MEASURED] precursors and the honest negative, all typed finite evidence for the named continuum theorems -- never the theorems (Python-only per GATE.WOLFRAM.02).

E8.ONEOBJECT.01Exact [E] lattice/discriminant-form census results and an exact [E] group-theoretic kill, both behind explicit fences; the c_3 link stays typed INTERPRETATION (no P1 derivation); no marker move (Python-only per GATE.WOLFRAM.02).

E8.TRANSITIONBUS.01Exact [E] finite structure theorem (torsor + predicate + obstruction census) behind the interpretation fence ('transition bus / instruction set' language stays interpretation); no marker move (Python-only per GATE.WOLFRAM.02).

E8.CLIFFORD2Q.01Exact [E] finite group/lattice identification (H1-H3) with the H4 layer honestly PARTIAL (the index bit identified as the sqrt2/Hadamard Galois bit, not J <-> -J); no marker move (Python-only per GATE.WOLFRAM.02).

SEAM.CODE.TYPEII.01Exact [E] exhaustive finite equivalence chain at length 8 (all 308,993 subspaces) modulo the cited classical lattice-VOA/theta ingredients, each machine-verified in every instance used; the OPE-linearity scope note typed; R1 -> R1' [C] residual registered; NO P2 marker move (Python-only per GATE.WOLFRAM.02).

E8.TORSOR.FOURIER.01Exact [E] integer/cyclotomic character theory (canonical rays, exact Clebsch spectrum, exact overlap census) with the predeclared P3 failure typed -- the weight and character gradings mutually unbiased; ROOTCLASS-MIXED (v775) intact and re-confirmed; no marker move (Python-only per GATE.WOLFRAM.02).

E8.RAMIFIED.JETCODE.01Exact [E] ring/module/extension structure theorems (integer/F2/Z[i] arithmetic, exhaustive censuses) behind the interpretation fence; the reconstruction-chain reading typed [H neu]; carries E8.AFFINE.NSR.01

E8.SYNDROME.ALGEBRA.01DEAD as frozen [E kill, preregistered adjudication fired]: the twisted V-graded basis reading of E8 killed at rank level; the surviving structures typed exactly; successor criterion named

CARRIER.CUTCODE.01Exact [E neu] cut-map/shell-grading censuses (F2/integer, exhaustive) + the frozen 210 decision landing PARTIAL (decorative, per the preregistered rule); the 5/20/15 and charpoly readings audit fingerprints [C]; carries CARRIER.MOMENT.INCIDENCE.01

P1.INDEX.KMS.01Exact [E] identity chain (formal Fraction x pi^k) + gated independence audit + measured finite evenness precursor; OPEN [O] contract with the one open bridge (even modular-response normalization) and the kill criterion named; c3 stays the P1 axiom

K5.SIXSTEP.TRANSPORT.01Exact [E neu] operator identities and censuses (three spatial routes, sixth-power blindness, corpus census, bit-exact v221 location); [H neu] the walk-vs-clock reading and the T10 deployment proposal; dated BITEXACT correction to TRANSPORT.SIXTHROOT.01 carried

ANCHOR.AFFINE.01Exact identity-grade compression [Identity]: both parts exact sympy/integer arithmetic; the compression is a normal form of existing corpus surfaces (tfpt_1 anchor power compiler + budget lines, tfpt_2 flavor spectral selector + bilinear table); no marker move (Python-only per GATE.WOLFRAM.02)

GAUSSIAN.RAMLADDER.01Exact identity/lattice-grade compression [Identity/Lattice]: all four rungs re-certified from scratch in exact arithmetic; unifies note_e8_gaussian_code/v689 (census, norm doubling), v803 (non-split jet), v783/v798/v819 (metaplectic zeta8, Clifford coset, RM-CSS phase bit); no marker move (Python-only per GATE.WOLFRAM.02)

PG32.FLAGS.01Exact lattice/identity-grade compression with the kill typed as a split [Identity/Lattice]: 60-sector exact via the symplectic polarity (equivariant incidence dictionary), 45-sector obstructed on the doily (typed negative); compresses v819 S4 / v821 / v822 RM surfaces into the PG(3,2) normal form; no marker move (Python-only per GATE.WOLFRAM.02)

MESSAGE.LADDER.01Exact identity-grade compression [Identity]: both parts exact integer/Fraction/sympy arithmetic certified against the rebuilt lattice objects (h(E8) = 30 derived from the rebuilt root system, not cited); the (1/3)^6 typed gap re-affirmed with NO upgrade (v814 cited); no marker move (Python-only per GATE.WOLFRAM.02)

NORMALFORM.CFIN.01Exact identity-grade normal form [Identity] with the built-in checked NEGATIVE (v775 ROOTCLASS-MIXED re-anchored via the 128-spinor counting bound + the saturated 8 + 7 census) and the typed P2 bridge: C_fin does NOT derive A1-A3 / the linearity scope / the v776 uniqueness selection -- P2 NARROWED to the v799 residual R1' ([C]), NOT eliminated; SPEC v2 declared (v836 precedent, no numeric result changed); no marker move (Python-only per GATE.WOLFRAM.02)

E8.SIMPLEX.FOURIER.01Exact corpus compression [typed evidence line: 26/26 + 20/20 checks, zero fails, exact integer/Fraction/sympy arithmetic throughout; the identification typed SPECTRAL-only (the packet and code gradings do not refine each other); the spinor halving stays numerical fiat; q_wind(6) = 8 = det R typed a measured coincidence; the integer-window 2xsquare census measured, not narrated]; audits of DEPLOYED claims (v817/v833/v844, tfpt_2 I.5 keyboxes) -- normal forms and identities, no new physical claim; NO RH claim; no marker move (Python-only per GATE.WOLFRAM.02)