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73 indexed records
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The triangular coordinate q = s(1 − s) folds s and 1 − s into one point. Every finite difference of the samples is positive, and the Newton series converges on the whole plane, with proved rational error bounds and an interval certificate. The half index T(−½) = −1/8 sits at the vertex of the fold. RH remains open.
Volume I v6.3: a 108-page Reading Volume and a 301-page Technical Dossier. It adds the half index and the triangular product, the reciprocal-triangular law and its entropy, and π on the odd squares, and keeps one letter to one meaning across the volume and Reading the Fold. RH remains open.
The real Cayley map turns the Casimir branch factor of fixed-gap counting legs into cosh² of a rapidity, and the complete determinant is Γ(d − 1)/Γ(d/2)²: the 4/π triangular branch is its d = 3 member. An independent wave model gives a second realization of the same chart. Exact identities and empirical targets are kept separate.
The triangular coordinate q = s(1 − s) folds s and 1 − s into one point. Every finite difference of the samples is positive, and the Newton series converges on the whole plane, with proved rational error bounds and an interval certificate. RH remains open.
Volume I v6.2 is a reading edition: a 106-page Reading Volume and a 298-page Technical Dossier in plain mathematical language. Sections R13A–R13C carry the frontier number, a narrower sector and an assumed half-plane. RH remains open.
Volume I v5.2 brings the 101-page Reading Volume, 287-page Technical Dossier and source edition together. It adds the Davenport-Heilbronn twin calibration while keeping RH open.
The volume edition of Project 51, with a Reading Volume, a Technical Dossier and its source and verification. It asks what a declared view of an ordered 51-card record retains: two views together leave eight arrangements and one further bit per card removes them, a missing distinction in one poker hand is worth 319/92 points, and a deterministic game can have four pasts for one present. RH remains open.
Version 7.6. Shannon surprisal measures improbability under a stated model, not meaning; a target and rules supply the criterion of success. A positive distribution on folded zeta-zero states has finite entropy without assuming RH, and a modelled estimate of about 4.25068 nats is reported with its stated tail surrogate. RH remains open.
This Project 51 record gathers the Area 51 games and exhibit research: 51 SEDAPS v0.4.1, 51 Twins and Formula 51. RH remains open.
A September Line Game record. The maintained interactive route links the v7.5 paper and preserves the v7.2 foundation; RH remains open.
Project 51 v0.4 with Telescope 51 v0.7, Formula 51 concise method and 51 SEDAPS v0.1. Its finite card-model results do not settle RH.
Version 7.5 supersedes v7.2 with the answer key, folded line and a number carried by the 51-card pack under a declared radix. RH remains open.
Version 7.2 pairs a nine-page paper with Invariant: swap two cards, preserve the complete component-weight profile, recover a different record, and compare exact finite continuations. It remains available alongside v7.5; RH remains open.
This September repository edition follows the triangular primitive through the completed zeta source while keeping the remaining all-orders fixed-scale prime estimate, and RH, explicitly open.
Repository record v41 predates the archived local v5.1 manuscript package. The website reading route now presents deposited v6.3.
An earlier September publication record for Reading Volume v4.7. It follows the triangular primitive through the completed zeta source while keeping the remaining all-orders fixed-scale prime estimate, and RH, explicitly open.
Reading Volume v4.7, 90 pages, dated September 15, 2026.
An earlier Postmaster synthesis preserving source layers, arithmetic gates and an audited research ledger. Read for the development trail; use v6.3 for the current reading route and status table.
A master-volume stage joining counting and spectral constructions with reciprocal coordinates and finite-resource comparisons. It separates exact bridges from unproved positivity targets.
A spherical Casimir construction linking positive degree, reflection, determinants and Mellin-Fourier coordinates. Its operator and comparison models are not identified with the completed zeta source.
Two-term asymptotics for the total variation of exponentially weighted Laguerre polynomials, with a Bessel-profile leading constant and a stated correction.
One terminal reflection is expressed in the arithmetic pair plane and in reduced polar shells. The paper distinguishes that shared reflection from an obstructed geometry-preserving whitening transfer.
A reading guide to vortex stretching, concentration and the distinction between the engine of amplification and the mechanisms that may restrain it.
Also indexed: another record with this title. The records remain separate unless their repository histories establish a version relationship.
A null-coordinate description of vorticity-aligned stretching built from the Cauchy vorticity formula. It is a bounded reduction, not an Euler closure or a blow-up criterion.
Triangular addresses, null coordinates and reciprocal-metallic locks in a scale-covariant plane construction. Address inheritance is distinct from a shared theorem.
Finite radial-wave bookkeeping, exact semidiscrete scattering and configuration-bound numerical checks. Exact identities and empirical certificates are kept separate.
The arithmetic foundation: divisor-band bijections, reduced-denominator shell counts and the triangular-fractional grid.
Reduced fractions placed at radius sqrt(n) and angle 2 pi k/n. Each denominator shell contains phi(n) points and has an assigned equal-area annulus.
A finite-observer architecture coupling phase-changing memory, reusable sensing volume, pressure control and apparatus costs.
Also indexed: another record with this title. The records remain separate unless their repository histories establish a version relationship.
A computational atlas of short modular orbits with diagnostics and explicit limits on what transient patterns establish.
This record now continues at the September 20, 2026 update, record 22851517.
This catalogue contains 73 repository records and is not a live API inventory. It counts records, not distinct works: the Line Game records, for example, remain separate entries for the same work. Repository resource types are metadata and do not independently establish journal peer review.