cff-version: 1.2.0 message: "If you use this software, please cite it as below." type: software title: "SilverSight: Deterministic Equation Search and Classification" abstract: >- SilverSight is a deterministic equation search and classification system built on chaos game theory, Sidon set addressing, Fisher information geometry, and Lean-backed formal semantics. It provides a minimal invariant core (Hachimoji states, AVM transition semantics, TIC axiom) and a library-method architecture for fixed-point computation, braid eigensolid compression, and universal mathematical expression encoding. The repository ports proven concepts from Research Stack (OTOM) into a hardened, no-Float compute boundary. authors: - family-names: "Schneider" given-names: "Brandon" alias: "allaunthefox" - name: "SilverSight Contributors" repository-code: "https://github.com/allaunthefox/SilverSight" url: "https://github.com/allaunthefox/SilverSight" date-released: 2026-06-21 license: MIT keywords: - deterministic-search - equation-classification - lean4 - formal-verification - fixed-point-arithmetic - q16_16 - sidon-sets - braid-eigensolid - fisher-information-geometry - hachimoji-states - avm-semantics - reproducible-research preferred-citation: type: software title: "SilverSight: Deterministic Equation Search and Classification" authors: - family-names: "Schneider" given-names: "Brandon" alias: "allaunthefox" - name: "SilverSight Contributors" repository-code: "https://github.com/allaunthefox/SilverSight" url: "https://github.com/allaunthefox/SilverSight" date-released: 2026-06-21 license: MIT references: - type: software title: "Research Stack (OTOM)" authors: - family-names: "Schneider" given-names: "Brandon" alias: "allaunthefox" - name: "Research Stack Contributors" repository-code: "https://github.com/allaunthefox/Research-Stack" url: "https://github.com/allaunthefox/Research-Stack" date-released: 2026-05-08 license: Apache-2.0 notes: "Parent research repository (https://github.com/allaunthefox/Research-Stack). SilverSight ports proven Lean modules (`Semantics.FixedPoint`, `Semantics.SidonSets`, `Semantics.SieveLemmas`, `Semantics.InteractionGraphSidon`, `Semantics.BraidEigensolid`, `Semantics.BraidSpherionBridge`, etc.), agent contracts, and the no-Float compute doctrine from this source." - type: software title: "GP_ELITE: Régression symbolique par programmation génétique" authors: - name: "Sabri Hakou" version: 0.1.0 date-released: 2026-06-13 license: MIT repository-code: "https://github.com/ariel95500-create/gp-elite" notes: "Inspired SilverSight's native symbolic regression design. GP-ELITE uses genetic programming with asymmetric island model, BIC fitness, linear scaling (Keijzer 2003), ε-lexicase selection, and stigmergic memory. SilverSight reimplements these concepts using existing infrastructure: HachimojiCodec classification, chaos game search, spectral profiles, and QUBO optimization. See `docs/SYMBOLIC_REGRESSION_DESIGN.md`." # NOTE: The following four references are domain sources used by # `formal/PVGS_DQ_Bridge/` and `formal/BindingSite/`. They are recorded as # `unpublished` until DOIs, arXiv IDs, or journal pages are confirmed. - type: unpublished authors: - family-names: "Giani" given-names: "A." - family-names: "Win" given-names: "S." - family-names: "Conti" given-names: "C." title: "Photon-Varied Gaussian States" year: 2025 notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; preprint identifier pending confirmation." - type: unpublished authors: - family-names: "Chabaud" given-names: "U." - family-names: "Mehraban" given-names: "S." title: "Stellar representation of non-Gaussian quantum states" year: 2022 notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; full citation details pending DOI or arXiv ID." - type: unpublished authors: - family-names: "Pizzimenti" given-names: "C." - family-names: "et al." title: "Wigner negativity of superpositions" year: 2024 notes: "Binds to Research Stack `Semantics.BindingSite` / `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/BindingSite/`; full citation details pending DOI or arXiv ID." - type: unpublished authors: - family-names: "Wassner" given-names: "M." - family-names: "et al." title: "Single quadrature noise tomography" year: 2025 notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; full citation details pending DOI or arXiv ID." # ── Conceptual bindings ported from Research Stack ───────────────────────── - type: thesis title: "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle" authors: - family-names: "Saucedo" given-names: "Antonio Jr." date-published: 2019-06 institution: name: "California State University, San Bernardino" collection-title: "Electronic Theses, Projects, and Dissertations" url: "https://scholarworks.lib.csusb.edu/etd/855" notes: "Binds to Research Stack `Semantics.SidonSets` → SilverSight `formal/CoreFormalism/SidonSets.lean`; supports Sidon-set constructions, Singer-theorem residues, and number-theory fixtures. The chaos-game appendix was dropped during porting." - type: article title: "Close packing density of polydisperse hard spheres" authors: - family-names: "Farr" given-names: "R." - family-names: "Groot" given-names: "R. D." date-published: 2009-12 doi: 10.1063/1.3276799 journal: "The Journal of Chemical Physics" notes: "Binds to Research Stack `Semantics.BraidEigensolid` / `Semantics.BraidSpherionBridge` / `Semantics.BaselineComparison` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean` / `formal/CoreFormalism/BraidSpherionBridge.lean`; anchor paper for polydisperse close-packing theory used in eigensolid convergence proofs." - type: article title: "Fractionation effects in phase equilibria of polydisperse hard-sphere colloids" authors: - family-names: "Fasolo" given-names: "M." - family-names: "Sollich" given-names: "P." date-published: 2004-10 doi: 10.1103/physreve.70.041410 journal: "Physical Review E" notes: "Binds to Research Stack `Semantics.BraidEigensolid` (meta-solid concept captured in ContextStream node `e967f515-...`) → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; terminal polydispersity ~14% underpins the meta-solid 1/7 mixing threshold (one complete Sidon doubling step)." - type: article title: "Random-close packing limits for monodisperse and polydisperse hard spheres" authors: - family-names: "Baranau" given-names: "V." - family-names: "Tallarek" given-names: "U." date-published: 2014 doi: 10.1039/c3sm52959b journal: "Soft Matter" notes: "Binds to Research Stack `Semantics.BraidEigensolid` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; definitive random-close-packing limits for monodisperse (~0.64) and polydisperse spheres used in eigensolid packing-bound claims." - type: article title: "Freezing of polydisperse hard spheres" authors: - family-names: "Kofke" given-names: "D." - family-names: "Bolhuis" given-names: "P." date-published: 1999 doi: 10.1103/physreve.59.618 journal: "Physical Review E" notes: "Binds to Research Stack `Semantics.BraidEigensolid` / `Semantics.BaselineComparison` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; fractionating phase behavior of polydisperse hard spheres used in braid/meta-solid phase-transition fixtures." - type: article title: "A Differentiable Interior-Point Method in Single Precision" authors: - family-names: "Arrizabalaga" given-names: "Jon" - family-names: "Tracy" given-names: "Kevin" - family-names: "Manchester" given-names: "Zachary" date-published: 2026-05 url: "https://arxiv.org/abs/2605.17913" notes: "Binds to Research Stack `Semantics.FixedPoint` (inverse-proof machinery in `Semantics.Q16InverseProof`) → SilverSight `formal/CoreFormalism/FixedPoint.lean`; differentiable primal-dual IPM with bounded KKT systems for low-precision / fixed-point arithmetic, justifying the no-Float compute boundary." - type: article title: "Everything Is Logarithms" authors: - family-names: "Kritchevsky" given-names: "Alex" date-published: 2026-05-25 url: "https://alexkritchevsky.com/2026/05/25/everything-is-logarithms.html" notes: >- Binds to SilverSight `formal/CoreFormalism/HachimojiLUT.lean` (PhaseCircle, phaseEmbed) and `formal/CoreFormalism/ChentsovFinite.lean` (Fisher metric uniqueness). Core claim: logarithms are coordinate-free objects; units emerge from ratios (log N / log 2), and dim(U⊗V) = dim(U)×dim(V) mirrors the additive structure of log. The multiplicative-to-additive isomorphism underpins the phase-circle encoding (ℤ/360ℤ as an additive group of logarithmic phase steps) and the Q16_16 entropy estimator (entropy_q16 computes log₂ probabilities in integer arithmetic). The coordinate-free framing also grounds Chentsov uniqueness: the Fisher metric is invariant under sufficient statistics, i.e., under the natural logarithmic re-parameterisation of probability families. - type: article title: "Stabilizing Recurrent Dynamics for Test-Time Scalable Latent Reasoning in Looped Language Models" authors: - family-names: "Yang" given-names: "Xiao-Wen" - family-names: "Han" given-names: "Ziyu" - family-names: "Zhang" given-names: "Xi-Hua" - family-names: "Wei" given-names: "Wen-Da" - family-names: "Shao" given-names: "Jie-Jing" - family-names: "Guo" given-names: "Lan-Zhe" - family-names: "Li" given-names: "Yu-Feng" date-published: 2026-05 url: "https://arxiv.org/abs/2605.26733" notes: "Binds to Research Stack `Semantics.AVMIsa.*` / `Semantics.Run` → SilverSight `Core/SilverSightCore.lean` AVM transition function; STARS regularizes spectral radius of the Jacobian using power iterations with JVPs, relevant to recurrent / looped AVM search dynamics."