RH Research Log
STATUS: RIEMANN HYPOTHESIS OPEN.First published 2026-09-30 · v0.1.0

Source map and archival boundaries

STATUS: RIEMANN HYPOTHESIS OPEN

The Japanese and English editorial pages are paired guides by @ykbballer91 to a Japanese, AI-assisted research record. The archive preserves the argument and its historical scope. It is not a collection of peer-reviewed papers. Internal agents sometimes checked the same statement independently; that is an internal review process, not independent external validation.

Selective publication through L7 — 2026-10-09

The new research update is a selected editorial summary based on fixed-version research manuscripts, constructions, integrations and internal audits. L0–L7 research originals remain privately preserved. Complete new proofs, full internal audits, instructions, conversations, definition DAGs and internal validation outputs are not published. This summary is not the full evidence for third-party reproduction of every claim.

The public state record contains publishable summaries and references to the update. The detailed manuscript-to-paragraph correspondence is privately retained. Existing manifests, source links and hashes below concern historically published material; complete new manuscripts have not been added to that evidence set.

Cycles 6–17 public addition — 2026-10-08

The update through Cycle 17 is an edited summary and auxiliary argument grounded in each cycle's original research, integration, state and independent internal audits. The historical state and source hashes record selected read-only inputs. Private bundles, prompts, diagnostics, third-party PDFs and internal agent logs are not redistributed. Earlier evidence, article bodies and exported hashes remain unchanged.

CORE-S public addition — 2026-10-07

The CORE-S finite lemma is a derived consequence of CCM's known matrix and commutator structure. The public state record separates its finite scope from the open cofinal conditions. Private research directories, diagnostic caches and internal audit logs are not distributed; the update provides the primary-source link and a short public proof. Existing evidence and hashes are unchanged.

Import and review — 2026-10-05

The joint-transfer summary records a conditional implication checked against primary sources. A new state record and review record have been added. Existing evidence and hashes are preserved; the private handoff bundle and third-party PDFs are not redistributed.

What is canonical here

The Phase 1 inventory identified 17 tracks. This publication adds separately dated Priority 1 cyclicity and Priority 2 finite-head updates. There are 378 selected source files: the 359-file historical selection, five cyclicity files, and fourteen finite-head files. The source manifest is the complete file-level authority. It records the original relative source identifier, public destination, original hash and exported hash. Publication headers, removal of private paths and repaired links can change an exported hash without changing the mathematical claim.

The table identifies the main argument, its scoped audit and its state. A state file is evidence of what was recorded at that point; it is not a new proof or a promise that every linked experiment has just been rerun. Detailed completion and validation links are on each track page.

Track Edited account Main source Internal audit State
01 Initial Weil program: finite positivity and its limits Report Audit 1 · Audit 2 · Audit 3 · Audit 4 State
02 Arithmetic generators and boundary conditions Report Audit State
03 The missing Frobenius mechanism Report Audit State
04 Arithmetic polarization and intersection pairings Report Audit State
05 Continuous scale flow and prime return maps Report Audit State
06 One-prime return and a faithful Banach completion Report Audit State
07 Dyadic arithmetic reduction Report Audit State
08 Prime complexes and parity pairing Report Audit State
09 Prime-logarithm phases: the arithmetic comma track Report Audit State
10 Weighted prime halfspaces Report Audit State
11 The global remainder beyond local asymptotic orders Report Audit State
12 Strategy reset: arithmetic estimates and closure Report Audit State
13 Arithmetic restoring force Report Audit State
14 Local-to-global zero confinement Report Audit State
15 A common variational parent? Report Audit State
16 Rates, history and finite-cutoff splitting Report Audit State
17 Hierarchical selection in fixed derivative families Report Audit State
18 Cyclicity of the even derivative family Report Audit State
19 Finite even Fourier heads Report Audit State

Historical records that must not be merged silently

Theorem stacks and dependencies worth reading together

What is included and excluded

Original project reports and audits are under archive/; selected state records are under data/source-records/; code, recorded results and small formal sources are under artifacts/. The manifest resolves every selected identifier to one canonical public copy. Preserved source prose may point to an omitted file; the export marks that omission rather than manufacturing a destination.

Third-party PDFs, HTML/TeX caches, ancillary software, downloaded page images, local runtimes, package caches, raw private instructions and old Git objects are not bundled. Papers are cited through external links. Their copyrights and software licenses remain with their owners. Bibliographic status and the exact statement used are documented in References; project licensing does not relicense those works.

Publication checks cover curation, payloads, links and stated scope. They do not constitute a new execution of every certificate or a full independent proof audit. See Reproducibility.