Grand GRH and the Spectral-Arithmetic Hierarchy
CB-GRAND-GRH
canonical benchmark
canonical benchmarks
External: externally open
τ response: structurally constrained
How far does the τ spectral-arithmetic package extend beyond classical RH, and what external bridge conditions are needed for Grand GRH-style claims?
Current τ response
See the paired Grand GRH and the Spectral-Arithmetic Hierarchy — Challenge Response on the Results lane for the program's current response status, registry evidence, verification route, and external-review boundary.
Current status: structurally constrained.
Challenge statement
How far does the τ spectral-arithmetic package extend beyond classical RH, and what external bridge conditions are needed for Grand GRH-style claims?
Why this challenge is in the ledger
τ-native extension of the RH/spectral-arithmetic family. Tests how the framework’s spectral-arithmetic machinery behaves under broader Dirichlet-series settings.
τ-facing burden
Specify the τ spectral-arithmetic hierarchy, distinguish what is internally addressed from what requires external bridges.
First reviewer questions
- How is Grand GRH formulated in τ?
- Are the τ extensions theorem-like or only programmatic?
- What external bridge conditions are needed for serious comparison?
Source anchors
Source anchors are background references, not endorsements of Panta Rhei claims.