Weekly digest
Searches arXiv for the last 8 days on each problem, plus two narrower topics (elliptic-curve murmurations, Riemann-zero spacing), and flags changes on the Clay problems page and two data sources.
Outreach guard
Checks every draft to a researcher against written rules before opening a Gmail compose window, and keeps a ledger of who was contacted and when.
Honest scope
A hobby tool by an engineer, not a mathematician. It collects and organises; it does not solve or claim progress on any Millennium problem.
Latest digest: 2026-11-09
18 new papers in the 8 days before the run. Outreach details are private and not shown here.
Riemann Hypothesis (8 new)
- 2026-11-04 3-manifold decision problems and Riemann hypotheses
- 2026-11-03 Almost primes in short intervals and averages of long Dirichlet polynomial approximations to $(ζ'/ζ)^{k}$
- 2026-11-03 RH-Conditional Positivity in a Theta-Kernel Langevin Model
- 2026-11-02 A Hardy space approximation supporting zero-free half-planes for the $ζ$-function
- 2026-11-02 On some positivity properties of the Riemann $Ξ$ function
- 2026-11-01 Convergence in law of the maximum of the Riemann zeta function on expanding intervals near the critical line
- 2026-11-01 Improved first moments of primitive quartic and sextic Dirichlet $L$-functions
- 2026-11-01 A secondary term in the first moment of primitive cubic Dirichlet L-functions
Riemann zeros: spacing statistics (our RH study) (0 new)
- nothing new
Birch and Swinnerton-Dyer (0 new)
- nothing new
Murmurations (our BSD study) (0 new)
- nothing new
Navier-Stokes regularity (8 new)
- 2026-11-05 Singular viscosity-exponent limit for one-dimensional compressible Navier-Stokes equations with far field vacuum
- 2026-11-04 Finite-Time Blowup for Navier-Stokes with Smooth Forcing, Part II: Residual Correction via Oscillatory Pulses
- 2026-11-04 Optimal Error Estimates With Polynomial Dependence on $ε^{-1}$ for Mixed Finite Element Methods of the Cahn-Hilliard-Navier-Stokes System
- 2026-11-03 From Random Advection to Transport Noise and the LU Framework for the Navier--Stokes Equations
- 2026-11-03 From Navier-Stokes to Measure-Valued Euler-Brinkman Equations: Homogenization in the Inviscid Limit
- 2026-11-02 Stability of negative-regularity mixing and applications to stochastic fluids
- 2026-11-02 The anelastic approximation and convergence rate for the compressible Navier-Stokes equations with ill-prepared data in bounded domains
- 2026-11-02 Regularizing the Navier-Stokes Equations by One Noise Component
Yang-Mills mass gap (0 new)
- nothing new
P vs NP
- search failed: Remote end closed connection without response
Hodge conjecture
- search failed: HTTP Error 429: Unknown Error
Watched pages and data sources
Watched by the automation: Clay problem list and data sources
- Clay list checked: 7 problems, 7 tracked
Outreach rules
From outreach_policy.json. A draft that breaks any rule is refused.
- Sends automatically, but only emails that pass every rule below (otherwise it stays a draft)
- One recipient per email
- At most 2 new contacts per 30 days
- 180 days between contacts with the same person
- At most 1 follow-up, after 21 days
- Body under 420 words, with an AI-assistance disclosure
- A "no reply is needed" line and one specific question
- Must cite the researcher's own work and a public source for their address
Run it
copy config.example.json config.json python millennium_monitor.py # writes and opens digests/digest_<date>.html python outreach.py status # ledger + what the rules allow next python make_site.py # rebuilds this page from the latest digest