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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 ScienceQuantum ComputingSpacetime

AI/Computer Science

PREPRINT · v0.1.0 · 12 SEP 2026

Realizable 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 · v0.10.0

Formal 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 · v1.0.0

Corrected-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 · v3.0.0

Explicit 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-results

PhaseWrap: 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 PROGRAM

Foundational 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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