RESEARCH LIBRARY
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Published artifacts with their versions, supporting materials and limits. Research programs and available results are distinguished below.
AI/Computer Science
PREPRINT · v0.1.0 · 12 SEP 2026Realizable Nearlinear-Gap Hardness for Small Monotone Formulas
Fixed-parameter randomized realizable near-linear-gap hardness, with manuscript, source contracts and companion proof work. Informal AI review; full manuscript Lean certification remains incomplete. This does not resolve P versus NP or establish growing-parameter hardness.
FORMAL PROOF ARTIFACT · v0.10.0Formal Switching Lemma in Lean 4
A curated Lean 4 SimpleDNF switching-lemma line and bounded-depth bridge / explicit layer-schedule infrastructure. Checked statements retain their named hypotheses; this is not a general complexity breakthrough.
COMPUTATIONAL REPRODUCTION · v1.0.0Corrected-source PPSZ recombination certificate
Exact rational recombination of specified corrected PPSZ estimates. Code and recorded JSON support a conditional arithmetic consequence, not a new SAT algorithm or an independent proof of the imported estimates.
MATHEMATICAL NOTE · v3.0.0Explicit simple bamboo SoS size theorem
An explicit certificate-size lower bound for a specified unaugmented simple bamboo weak-rank encoding. Informal AI mathematical review, without Lean verification or human peer review. It does not cover arbitrary proof systems, circuit-compressed roots, SAT runtime or P versus NP.
Quantum Computing
NEGATIVE RESULTS / SOFTWARE · v0.3.1-negative-resultsPhaseWrap: Negative Results for Phase-Wrap Positional Scoring and Hardware-Readout Audit Tooling
The public QRoPE research artifact is PhaseWrap. It includes code, saved experimental evidence and verification instructions for positional-scoring limitations, benchmark confounds and bounded two-qubit readout audits. It does not establish a RoPE replacement, production transformer superiority, quantum advantage or broad cross-backend robustness.
Spacetime
RESEARCH PROGRAMFoundational questions about space and time, including habitat and propulsion research framing. No verified public result is listed here for this program. Program activity does not establish a delivered habitat, propulsion capability or breakthrough.
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Public metadata checked on 5 October 2026 against Zenodo records and Quantyra-owned GitHub releases. A versioned archive and a current repository can have different scopes. Start with the linked version’s own sources, review disclosures, licenses and reproduction instructions.
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