cff-version: "1.2.0" message: "If you use SilverSight in your work, please cite this repository using the metadata from this file." type: software title: "SilverSight" version: "0.1.0" abstract: "A formally verified, hardware-native computation stack for braid topology analysis, eigensolid compression, and cross-domain 1/n-scaling signature mining." keywords: - formal verification - lean 4 - braid topology - spectral classification - fixed-point arithmetic - eigensolid compression - signature mining authors: - family-names: "Schneider" given-names: "Brandon" alias: "allaunthefox" affiliation: "Independent Researcher" orcid: "https://orcid.org/0009-0000-1594-0095" repository: "https://github.com/allaunthefox/SilverSight" repository-code: "https://github.com/allaunthefox/SilverSight" url: "https://github.com/allaunthefox/SilverSight" date-released: "2026-06-21" license: Apache-2.0 commit: "4abd17ffeba2593767ecfc7ca82711de2a2eb921" references: - type: article title: "Solving inverse problems with Bayes' theorem" authors: - family-names: "Imaginary" given-names: "ICERM" url: "https://www.imaginary.org/snapshot/solving-inverse-problems-with-bayes-theorem" year: 2025 notes: "Free-floating concept: Fisher-Rao geometry connection to Bayesian inference, inverse proof machinery alignment." - type: software title: "Research Stack (OTOM)" authors: - family-names: "Schneider" given-names: "Brandon" - 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. SilverSight ports proven Lean modules (Semantics.FixedPoint, Semantics.SidonSets, Semantics.SieveLemmas, Semantics.InteractionGraphSidon, Semantics.BraidEigensolid, Semantics.BraidSpherionBridge)." - type: software title: "GP_ELITE: Regression symbolique par programmation genetique" 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), epsilon-lexicase selection, and stigmergic memory." - type: unpublished title: "Photon-Varied Gaussian States" authors: - family-names: "Giani" given-names: "A." - family-names: "Win" given-names: "S." - family-names: "Conti" given-names: "C." year: 2025 notes: "Binds to Research Stack Semantics.PVGS_DQ_Bridge -> SilverSight formal/PVGS_DQ_Bridge/; preprint identifier pending confirmation." - type: unpublished title: "Stellar representation of non-Gaussian quantum states" authors: - family-names: "Chabaud" given-names: "U." - family-names: "Mehraban" given-names: "S." 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 title: "Wigner negativity of superpositions" authors: - family-names: "Pizzimenti" given-names: "C." - literal: "et al." 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 title: "Single quadrature noise tomography" authors: - family-names: "Wassner" given-names: "M." - literal: "et al." year: 2025 notes: "Binds to Research Stack Semantics.PVGS_DQ_Bridge -> SilverSight formal/PVGS_DQ_Bridge/; full citation details pending DOI or arXiv ID." - type: article 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." - 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." - 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; terminal polydispersity ~14% underpins the meta-solid 1/7 mixing threshold." - 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." - 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." - 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 -> SilverSight formal/CoreFormalism/FixedPoint.lean; differentiable primal-dual IPM with bounded KKT systems." - 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 and formal/CoreFormalism/ChentsovFinite.lean. Core claim: logarithms are coordinate-free objects. Also informed rust/src/bin/ingest_semisym_scar.rs (semisym scar-map ingest): the prime-factorization-as-logarithm identity (log n = Sum_p nu_p(n) log p) motivated the exact, float-free encoding of scar-map metrics (rationals kept exact, no Q16.16/IEEE float) and the planned prime-exponent nu_p log-vector field over the precomputed prime-LUT basis." - 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." - type: online title: "Tangent lines to parabola at ends of focal chord are perpendicular (calculus proof)" authors: - literal: "Unknown" date-published: "2025" url: "https://www.reddit.com/r/calculus/comments/1udl2t6/show_lines_tangent_to_parabola_at_the_ends_of_a/" notes: "Demonstrates focal chord perpendicularity. Maps to Hachimoji eigensolid conjugate pairs with 1/n scaling." - type: article title: "Brownian dynamics of polydisperse colloidal hard spheres: Equilibrium structures and random close packings" authors: - family-names: "Schaertl" given-names: "W." - family-names: "Sillescu" given-names: "H." date-published: "1994" doi: "10.1007/bf02183148" journal: "Journal of Statistical Physics" notes: "Early polydisperse hard-sphere BD simulation." - type: article title: "On the jamming phase diagram for frictionless hard-sphere packings" authors: - family-names: "Baranau" given-names: "V." - family-names: "Tallarek" given-names: "U." date-published: "2014" doi: "10.1039/c4sm01439a" journal: "Soft Matter" notes: "Jamming phase diagram for frictionless spheres." - type: article title: "Dense packing of binary and polydisperse hard spheres" authors: - family-names: "Santiso" given-names: "E." - family-names: "Muller" given-names: "E. A." date-published: "2002" doi: "10.1080/00268970210125313" journal: "Molecular Physics" notes: "Packing of binary/tridisperse/distributed sphere mixtures." - type: article title: "Freezing line of polydisperse hard spheres via direct-coexistence simulations" authors: - family-names: "Castagnede" given-names: "A." - family-names: "Filion" given-names: "L." - family-names: "Smallenburg" given-names: "F." date-published: "2025" doi: "10.1063/5.0281621" journal: "The Journal of Chemical Physics" notes: "Recent direct-coexistence simulation of polydisperse freezing line." - type: article title: "Frenkel's entropy-exchange mechanism in monodisperse, nearly hard-sphere colloids: minimal perturbations to access fluid-crystal coexistence" authors: - family-names: "Wang" given-names: "J. G." - family-names: "Dhumal" given-names: "U." - family-names: "Zakhari" given-names: "M. E. A." - family-names: "Zia" given-names: "R." date-published: "2025" journal: "Journal of Fluid Mechanics" notes: "Entropy-exchange mechanism to access monodisperse hard-sphere fluid-crystal coexistence." - type: article title: "The elusive fluid-and-crystal coexistence state in simulations of monodisperse, hard-sphere colloids" authors: - family-names: "Wang" given-names: "J. G." - family-names: "Dhumal" given-names: "U." - family-names: "Zakhari" given-names: "M. E. A." - family-names: "Zia" given-names: "R." date-published: "2024" doi: "10.1002/aic.70275" journal: "AIChE Journal" notes: "Elusive nature of unbiased monodisperse hard-sphere coexistence simulation." - type: article title: "Local composition fluctuations act as precursors for crystal nucleation in polydisperse hard spheres" authors: - family-names: "De Jager" given-names: "M." - family-names: "Castagnede" given-names: "A." - family-names: "Smallenburg" given-names: "F." - family-names: "Filion" given-names: "L." date-published: "2025" journal: "arXiv" notes: "Composition fluctuation precursors in polydisperse nucleation." - type: article title: "Rheology and structure of polydisperse three-dimensional packings of spheres" authors: - family-names: "Cantor" given-names: "D." - family-names: "Azema" given-names: "E." - family-names: "Sornay" given-names: "P." - family-names: "Radjai" given-names: "F." date-published: "2018" doi: "10.1103/physreve.98.052910" journal: "Physical Review E" notes: "Shear strength nearly unchanged despite microstructural differences in polydisperse packings." - type: article title: "Impact of polydispersity and confinement on diffusion in hydrodynamically interacting colloidal suspensions" authors: - family-names: "Gonzalez" given-names: "E." - family-names: "Aponte-Rivera" given-names: "C." - family-names: "Zia" given-names: "R." date-published: "2021" doi: "10.1017/jfm.2021.563" journal: "Journal of Fluid Mechanics" notes: "Polydispersity + confinement effect on colloidal diffusion." - type: article title: "Percus-Yevick structure factors made simple" authors: - family-names: "Botet" given-names: "R." - family-names: "Kwok" given-names: "S." - family-names: "Cabane" given-names: "B." date-published: "2020" doi: "10.1107/s1600576720014041" journal: "Journal of Applied Crystallography" notes: "Simplified PY structure factors for monodisperse/polydisperse fluids." - type: thesis title: "Microstructure and macroscopic properties of polydisperse systems of hard spheres" authors: - family-names: "Ogarko" given-names: "V." date-published: "2014" doi: "10.3990/1.9789036536691" institution: name: "University of Twente" notes: "Polydisperse hard-sphere EOS, moments, glassy regime."