Phi-Genesis Daily Computational Verification¶
UltraCore-RFT mirrors the computational verification workload of Phi-Genesis as a first-class part of this research hub. The runs use the canonical Python source from Phi-Genesis main; the algorithms and tests are not forked or copied into this repository.
Each run records both the UltraCore-RFT commit and the exact Phi-Genesis commit it checked out. Logs and provenance files are retained as downloadable GitHub Actions artifacts.
Daily schedules¶
-
Nightly deep verification
00:00 UTC every day
The marked deep-test suite, including the level-9 dense spectral calculation and statistical / decimation audits.
-
High-precision spectral matrix
03:00 UTC every day
A1 level 9, A1 level 10, and E level 9, run as three parallel 360-digit mixed-precision jobs.
The schedules match the corresponding daily source workflows in Phi-Genesis. They are separate GitHub Actions runs: a pass in one repository does not automatically certify the other repository's workflow or prove a mathematical statement beyond the assertions actually executed.
1. Nightly deep suite¶
The source workflow is nightly-deep-tests.yml; UltraCore-RFT checks out Phi-Genesis and runs:
The suite currently selects eight deep tests from the source test collection. The checks include:
- Construction of the level-9 Sierpiński-gasket graph: 29,526 vertices and 59,049 edges.
- An attempted full dense eigendecomposition of the level-9 graph Laplacian.
- A Gate E statistical null sweep over 20 million random index quadruples for each configured search bound.
- Gate A matched-pair and machine-precision residual diagnostics.
- Spectral-window summaries at levels 8 and 9.
A successful historical run on 9 November 2026 completed in 47 minutes 26 seconds. The level-9 dense eigensolve itself completed in 1,282 seconds on that run. The test records the outcome; it does not assert that every runner will have the same memory/time characteristics.
Historical source run — 9 November 2026 · Canonical source test.
2. High-precision spectral matrix¶
The matrix workflow runs three independent jobs in parallel using:
Python 3.12
mixed-precision working precision: 360 decimal digits
sparse linear solve target: 210 decimal digits
inverse iterations: 250
progress output: every 20 iterations
| Sector | Graph level | Full graph dimension | Symmetry-sector dimension |
|---|---|---|---|
| A1 | 9 | 29,526 | 4,926 |
| A1 | 10 | 88,575 | 14,768 |
| E | 9 | 29,526 | 9,842 |
These calculations resolve extremely close low spectral modes that ordinary float64 single-vector iteration can collapse. The A1 and E jobs are different symmetry sectors of the same specified graph-matrix family. The output is a high-precision numerical calculation with residual diagnostics; it is not, by itself, an interval proof or an infinite-level convergence theorem.
A verified historical high-precision run completed in about 124 minutes overall. The E-sector level-9 calculation was the dominant job, with a reported computational elapsed time of about 7,394 seconds. The source Actions run retains the original logs and artifacts.
Canonical code: symmetry_sector_bottom.py · source workflow.
3. Related Schur certificates¶
Phi-Genesis also maintains separate finite-level Schur interval and derivative certificates. They are part of the research record, but they are not silently folded into the two daily workflows above:
- Schur inertia certificate source checks finite-level A1 ground-state and E-doublet claims using outward-rounded intervals.
- Schur derivative certificate source checks the specified finite root transitions at 10,000-digit working precision.
- Source derivative-certificate workflow is a separate manually dispatched / branch-triggered workflow in Phi-Genesis.
These certificates can be added as a further scheduled workload after their runtime and resource costs are deliberately assessed. The present UltraCore-RFT mirror is limited to the two existing daily source workflows, avoiding an accidental expansion of the compute schedule.
Provenance and evidence boundary¶
Every UltraCore-RFT run:
- Checks out the current
mainof Phi-Genesis into a dedicatedphi-genesis/directory. - Records the exact source commit SHA and the UltraCore-RFT workflow commit SHA.
- Runs the original source commands without modifying the source repository.
- Uploads text logs and the provenance record as workflow artifacts, retained for 30 days.
A workflow pass means that the selected command completed successfully for the checked-out revisions and runner environment. It does not upgrade numerical evidence into a Lean theorem, close Gate A, prove the quadratic increment law, or identify the graph matrix with an external physical operator.
The formal results and open questions remain in the Phi-Genesis research record and the UltraCore mathematical results register.
Evidence first. Preserve the source, the configuration, the commit, and the full run log.