Public log
The Public Log is generated from the current validated public record. Publications, releases and corrections appear automatically. Bulk same-day glossary publications may be grouped into one timeline entry. Material revisions and exceptional site-level events appear only when they are explicitly registered.
It is a public-history view, not a transcript of private research activity, code deployments or routine maintenance.
- — Glossary expanded
PUBLICATION: 6 glossary entries published. - — How are the prime numbers distributed?
PUBLICATION: Explain article published. (ART-RC-0117) - — What is analytic continuation?
PUBLICATION: Explain article published. (ART-RC-0116) - — What is the gamma function?
PUBLICATION: Explain article published. (ART-RC-0115) - — What is a computer-assisted proof?
PUBLICATION: Explain article published. (ART-RC-0113) - — What is the Riemann xi function?
PUBLICATION: Explain article published. (ART-RC-0114) - — Explain published: What is a computer-assisted proof?
PUBLICATION: Beginner-first Explain article released, distinguishing large numerical experiments from computer-assisted proof and explaining rigorous finite reduction, interval certification, truncation control, certificates, independent verification, formal proof assistants and the role of AI-generated mathematics. (PUB-RC-0125 / ART-RC-0113) - — Explain published: What is the Riemann xi function?
PUBLICATION: General-reader Explain article released, distinguishing zeta, xi and capital Xi; explaining completion, symmetry and the critical line; and placing Riemann's 1859 prime-number paper in its academic and historical context. (PUB-RC-0126 / ART-RC-0114) - — What do the zeros of the zeta function have to do with prime numbers?
PUBLICATION: Explain article published. (ART-RC-0112) - — A route-critical obstruction has been closed in the Riemann Hypothesis programme
PUBLICATION: Public milestone published. (PUB-MIL-RH-0003) - — PUB-MIL-RH-0003 — A route-critical obstruction has been closed in the Riemann Hypothesis programme
RELEASE: Public release registered. (REL-RH-20260919-001-v2) - — MIL-RH-0003 — A proposed global positivity route was retired after hostile testing
RELEASE: Public release registered. (REL-RH-20260919-002-v1) - — MIL-RH-0004 — Discrete arithmetic thresholds invalidate a globally smooth continuum model
RELEASE: Public release registered. (REL-RH-20260919-003-v1) - — Explain published: What do the zeros of the zeta function have to do with prime numbers?
PUBLICATION: Beginner-first Explain article released, showing how prime-power data in the logarithmic derivative of zeta and poles at zeta zeros combine through complex inversion and the explicit formula to describe prime-counting fluctuations. (PUB-RC-0123 / ART-RC-0112) - — Public milestone released: route-critical obstruction closed
MILESTONE: A bounded Riemann Console milestone records that one previously identified obstruction in the main Riemann Hypothesis programme has moved from unresolved to closed at the project’s current internal standard. The technical result and active research frontier remain private; RH remains unproved. (PUB-MIL-RH-0003 / PUB-RC-0124) - — Milestone article revised: route-critical obstruction closed — substantive v1.1
PUBLICATION: The public milestone was revised to restore substantive mathematical context while preserving the private research frontier. It now identifies the closed obstruction as a structured spectral positivity problem requiring rigorous computer-assisted lower-bound certification, records failed certification attempts, and explains the removal of a conditional dependency. Exact reconstructive details remain private; RH remains unproved. (PUB-MIL-RH-0003 / PUB-RC-0124 / REL-RH-20260919-001-v2) - — What is the Riemann zeta function?
PUBLICATION: Explain article published. (ART-RC-0111) - — Explain published: What is the Riemann zeta function?
PUBLICATION: Full-length beginner-first Explain article released, tracing the zeta function from reciprocal-power sums and Euler’s product through complex inputs, analytic continuation, zeros, prime-distribution formulas and the Riemann Hypothesis. (PUB-RC-0122 / ART-RC-0111) - — Who was Leonhard Euler?
PUBLICATION: Explain article published. (ART-RC-0108) - — Explain published: Who was Leonhard Euler?
PUBLICATION: People Behind the Mathematics 002 released: a beginner-first portrait of Leonhard Euler, his life across Basel, St Petersburg and Berlin, the Basel problem, and the Euler product bridge between the positive integers and the prime numbers. (PUB-RC-0119 / ART-RC-0108) - — Beyond Human-First Mathematics
PUBLICATION: Explain article published. (ART-RC-0106) - — Who was Bernhard Riemann?
PUBLICATION: Explain article published. (ART-RC-0107) - — A retired positivity route
PUBLICATION: Research object published. (RES-RH-0001) - — Local structure does not automatically force a stronger nonlocal condition
PUBLICATION: Research object published. (RES-RH-0002) - — Research Dispatch published: Beyond Human-First Mathematics
PUBLICATION: Research Dispatch 001 released as a bounded general-reader window onto AI-native mathematical exploration. The article makes no RH proof or theorem-level novelty claim and deliberately withholds reconstructive RS-0002 machinery and the live private frontier. Contextual links were published from Methods and the Research landing page. (PUB-RC-0114; PUB-RC-0115; PUB-RC-0002) - — Research Dispatch ASCII figure presentation correction
PUBLICATION: Presentation-only correction to Research Dispatch 001 after live mobile review: the unsupported rc-ascii fence ID was removed so the existing Drive authoring bridge and ASCII renderer recognise the figure. No article prose, mathematical claim, disclosure boundary or figure geometry changed. (PUB-RC-0114 / ART-RC-0106) - — Research published: Completed Sidebands and Spectral Positivity
PUBLICATION: First governed RESEARCH object released on Riemann Console: a retrospective account of the completed-sideband spectral-positivity route, its high-precision numerical obstruction, and the exact identities retained after route retirement. Ten contextual inbound links were added across Research, Methods, the milestone, Explain, Glossary and Research Dispatch surfaces. (PUB-RC-0116 / RES-RH-0001; MIL-RH-0003) - — Research published: Local Real-Zero Geometry Does Not Force Nonlocal Positivity
PUBLICATION: Second governed RESEARCH object released on Riemann Console: an exact structural countermodel showing that the real-zero/Laguerre–Pólya structure tested by the retired sideband route does not, by itself, force the stronger nonlocal half-Laplacian positivity condition. Ten contextual inbound links were added across Research, Methods, the milestone, Explain and Glossary surfaces. (PUB-RC-0117 / RES-RH-0002; PUB-RC-0116 / RES-RH-0001; MIL-RH-0003) - — Explain published: Who was Bernhard Riemann?
PUBLICATION: People Behind the Mathematics 001 released: a general-reader portrait of Bernhard Riemann, his short mathematical life, the 1859 prime-number paper, the zeta function, and the conjecture that became the Riemann Hypothesis. (PUB-RC-0118 / ART-RC-0107) - — Glossary expanded
PUBLICATION: 98 glossary entries published. - — What does it mean for a quantity to stay non-negative?
PUBLICATION: Explain article published. (ART-RC-0003) - — If the Riemann Hypothesis has worked so far, why do we still need a proof?
PUBLICATION: Explain article published. (ART-RC-0004) - — What is positive definiteness?
PUBLICATION: Explain article published. (ART-RC-0005) - — Explain published: What does it mean for a quantity to stay non-negative?
PUBLICATION: Third Riemann Console Explain article released: a general-reader account of non-negative quantities, local and global positivity, numerical testing, and why the MIL-RH-0003 negative region is useful evidence against a stronger route without being a conclusion about RH. (PUB-RC-0011) - — Explain published: If the Riemann Hypothesis has worked so far, why do we still need a proof?
PUBLICATION: Fourth Explain article released and placed first in the reader-facing Explain order: an essay on evidence versus proof, infinity, the historical origin of RH, prime distribution, possible consequences of solving it, and why mathematical explanation matters. (PUB-RC-0012) - — Explain accessibility revision set published
PUBLICATION: Four existing Explain articles were republished as traceable accessibility revisions, adding selective Plain English equation translations and one accessible rc-ascii visual per article while preserving their established mathematical claims and caveats. (PUB-RC-0009; PUB-RC-0010; PUB-RC-0011; PUB-RC-0012) - — Explain published: What is positive definiteness?
PUBLICATION: Fifth Explain article released: a general-reader account of positive definiteness, quadratic forms, kernels, Fourier/Bochner intuition, and why the distinction between pointwise positivity and positive-definite structure mattered in MIL-RH-0003. (PUB-RC-0013) - — Explain parenthesised-aside style published
PUBLICATION: All five Explain articles were republished with beginner equation glosses restyled as parenthesised violet asides, removing the literal 'Plain English —' labels while preserving the explanatory text and mathematical claims. (PUB-RC-0009; PUB-RC-0010; PUB-RC-0011; PUB-RC-0012; PUB-RC-0013) - — What is the Riemann Hypothesis?
PUBLICATION: Explain article published. (ART-RC-0001) - — Why is a counterexample useful?
PUBLICATION: Explain article published. (ART-RC-0002) - — Explain launched: What is the Riemann Hypothesis?
PUBLICATION: First Riemann Console Explain article released: a general-reader introduction to the Riemann Hypothesis, prime numbers, the zeta function, the critical line, numerical evidence and counterexamples. (PUB-RC-0009) - — Explain published: Why is a counterexample useful?
PUBLICATION: Second Riemann Console Explain article released: a general-reader account of counterexamples, numerical evidence, sufficient conditions, and why the MIL-RH-0003 route retirement is useful progress without being a conclusion about RH. (PUB-RC-0010) - — Discrete arithmetic thresholds invalidate a globally smooth continuum model
PUBLICATION: Public milestone published. (MIL-RH-0004) - — MIL-RH-0004 released: prime-power Airy seams
MILESTONE: The milestone records prime-power Laguerre turning locations, Airy-scale seam behaviour and the resulting hybrid smooth-background plus arithmetic-scattering architecture. RH remains unproved. (MIL-RH-0004) - — A proposed global positivity route was retired after hostile testing
PUBLICATION: Public milestone published. (MIL-RH-0003) - — MIL-RH-0003 released: global T₂ / qξ positivity route retired
MILESTONE: The project retired a stronger sufficient positivity route after a high-precision numerical counterexample and a separate exact analytic countermodel. The result does not disprove the Riemann Hypothesis. (MIL-RH-0003) - — Live publication system verified
INFRASTRUCTURE: Production cutover completed and verified, establishing the controlled path from approved Google Drive content through the public-safe snapshot and validated renderer to the live site. (riemannconsole.org) - — riemannconsole.org established
INFRASTRUCTURE: Project domain and hosting established for the public research console. (riemannconsole.org) - — Public website source corpus established
INFRASTRUCTURE: Controlled Google Drive source boundary created for the public website. (Drive public website root)