Run Results
Result tables summarize bounded runs. They report what a configured search inspected; they do not prove or verify a conjecture.
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Run Summary
Verified Run Artifacts
These artifacts bind each public engine demo to a seed, bound, commit, claim level, and the environment the run was built in. Expand Environment provenance on any card for the interpreter, platform, and resolved dependency versions; a card whose build environment could not resolve every declared dependency is labelled incomplete rather than presented as a full snapshot. They are reproducibility records, not mathematical proofs.
CollatzX Near-Miss Candidates live JSON
Rows are ranked by the Collatz near-miss score
(0.70 × risk_score + 0.30 × excursion_bonus, see
derivation).
A listed candidate may still converge normally; high score only means the strategy considered it worth surfacing.
| # | Candidate | Near-Miss | Stopping Time | Peak Value | Strategy |
|---|
bounded runnot a proof
GoldbachX Deficit Candidates
Rows are ranked by the Goldbach near-miss score
(0.85 × deficit + 0.15 × structural_hardness, see
derivation).
A deficit is a search signal, not a calibrated probability of failure.
| # | Candidate | Predicted G(n) | Actual G(n) | Near-Miss | Strategy |
|---|
bounded runnot a proof
RiemannX Diagnostics
RiemannX output is numerical diagnostic data. Publish precision, library versions, and code revision before treating any table as research evidence.
| Diagnostic | Meaning | Limit |
|---|---|---|
| zero_deviation_scan | Measures numerical deviation from the critical line. | Precision and method dependent. |
| keiper_li_coefficients | Computes coefficient signals for inspection. | Numerical, not certified. |
| prime_counting | Compares exact capped counts to simple approximations. | Browser demo is capped. |
Reproduce A Run
Generate the public verified-run artifact bundle with:
python -m codebase.cli run all ^
--seed 42 ^
--output-json src/verified-runs.json
Generate a deeper candidate summary and ledger with:
python -m codebase.cli falsify ^
--budget 500 ^
--seed 42 ^
--target both ^
--top-k 25 ^
--save-ledger results/ledger.jsonl ^
--output-json src/results.json
On Unix shells, replace `^` line continuations with `\`. Or run ./scripts/generate-results.sh (.ps1 on Windows).