Riemann Console dot org

An open research record on the Riemann Hypothesis.

NAV READY · TYPE SHORTCUT · ENTER EXECUTES

Milestones

What is a milestone?

A milestone is a dated record of a research event significant enough to change the direction, status or understanding of the Riemann Console programme. A milestone may record a mathematical result, a numerical finding, the falsification or retirement of a research route, a correction, or a structural insight that changes what the project investigates next.

Milestone status does not imply that the Riemann Hypothesis has been proved, that a result is novel, or that it has received independent mathematical verification. Those questions are assessed separately and stated explicitly within each milestone.

Codes such as MIL-RH-0004 are stable identifiers linking each public milestone to the underlying research record.

What is a release?

A release is the exact published object through which a piece of Riemann Console research is made public. It records a specific version of the published material together with its publication date, provenance and release identity, so that the public record refers to a fixed object rather than to a continually changing draft.

Milestones and releases

A milestone records what happened in the research: the event or change in understanding that mattered to the programme. A release records the exact public object through which that research event was published: the fixed version that can be identified, cited, checked and, where applicable, signed or timestamped. If a milestone is later corrected or republished as a new version, each released version remains a distinct release in the public record.

A milestone may record a positive result, a negative result, a falsified route, a structural simplification or another change in what the programme can responsibly claim.

Released milestones

  1. [..]A proposed global positivity route was retired after hostile testingMILESTONE · MIL-RH-0003 · 2026-09-06
  2. [..]Discrete arithmetic thresholds invalidate a globally smooth continuum modelMILESTONE · MIL-RH-0004 · 2026-09-08
  3. [..]A route-critical obstruction has been closed in the Riemann Hypothesis programmeMILESTONE · PUB-MIL-RH-0003 · 2026-09-19