A registered result in its source context
Original ledger classification: Exact identity-grade compression [Identity] with the operator-level relation bridge typed HONESTLY as classical incidence algebra (mu*log = Lambda in matrix clothes -- the value is the packaging + the four-comb discipline transport at operator level, NOT new mathematics); the -4 triple point is ONE machine-checked integer (Hecke = Gauss = Walsh = a_3); the bent/character MUB partner of v800 REPORTED with no upgrade; controls fire; no marker move (Python-only per GATE.WOLFRAM.02)
Recorded statement: ARF.BENT.CSS.01: exact bent phase and CSS code identities; Mangoldt incidence experiment moved to Prime Front. Original module ID retained; original complete mixed record is preserved in extraction provenance.
Statement, assumptions and sources
Paper context: tfpt research contracts
The exact identifier, original classification and full claim are available below.
The source wording and classification below are preserved as recorded. A paper link, shared script or authored topic relation does not upgrade the claim or report a new proof run. Read later reviewed findings separately.
Read the exact registered claim and its dependencies
ARF.BENT.CSS.01
Original ledger classification: Exact identity-grade compression [Identity] with the operator-level relation bridge typed HONESTLY as classical incidence algebra (mu*log = Lambda in matrix clothes -- the value is the packaging + the four-comb discipline transport at operator level, NOT new mathematics); the -4 triple point is ONE machine-checked integer (Hecke = Gauss = Walsh = a_3); the bent/character MUB partner of v800 REPORTED with no upgrade; controls fire; no marker move (Python-only per GATE.WOLFRAM.02)
Original claim text
ARF.BENT.CSS.01: exact bent phase and CSS code identities; Mangoldt incidence experiment moved to Prime Front. Original module ID retained; original complete mixed record is preserved in extraction provenance.
Original classification detail
ARF-BENT-CSS-EXACT + MANGOLDT-COMMUTATOR-EXACT: s_q-hat = -4 s_q on all 16 (W^2 = 16I, perfect autocorrelation 16 delta); (16,6,2) difference set {0} u 5bar; A_q = C_iso^perp = [15,5,6] with the 31-word structural census; [[15,5,3]] -> [[16,4,4]] (the 60 minimal words = the 60 isotropic planes, the s_Arf = 0 rows of the v852 table; vacuum transformation typed: slot +1, logical qubit -1, distance 3 -> 4); the -4 triple point Hecke = Gauss = Walsh = a_3 (v785: 32 = 28 - (-4)); the 16 bent translates a second Gram-16I frame mutually unbiased vs the characters (+-4; reported, no upgrade); L = -M[D,Z] = -[D, log Z] = T(Lambda) exact three ways (BCH truncates; log Z rational), L^k = ordered chains (nilpotency floor(log2 N) + 1), the four-comb discipline at operator level (Epstein leak [6,14,21,...] exact, first unramified 21 = 3x7, repaired by a_A + a_B = 1 * chi_{-20}; ideal-level Dedekind Lambda_K with norm aggregation (1 + chi4) Lambda), the carrier bridge (the deployed mu-pairing IS row one of L; rows are shifts; L^2 - [D,L] = T(mu*log^2) -- the Selberg hierarchy)
Dependencies as recorded
ARF.VACUUM.SYNDROME.01; PRIME.RELATION.MULT.01; v535; v774; v785; v800; v819; v820; v852
Open the original ledger source, row 710Location recorded in the ledger
These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.
- Architecture, E8 and the electromagnetic fixed point
- E8 audit and bootstrap
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- Group-theoretic audits (optional)input 5 tfpt 3 e8 audit bootstrap
- Research Contract 2 — [formula in source]tfpt research contracts
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- How to read this documenttfpt 1 architecture e8
- Front matter / supportArchitecture, E8 and the electromagnetic fixed point
- How to read this documenttfpt 1 architecture e8
- 2026-10-18: Project separation and retained physics historyResearch changelog; TFPT — Introduction and reading guide
Registered verification modules
- v853_bent_css_mangoldt.pyRegistered verification module · core
Read the description recorded in the module registry
ARF.BENT.CSS.01: exact bent phase and CSS code identities; Mangoldt incidence experiment moved to Prime Front.
A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.