Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:00:17.148862Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 0 inbound Pith citation observations for arXiv:2412.12598.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:00:17.148862Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
70 of 70 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation be016c25-bc3f-4e19-9893-7ae149821434 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Abramowitz and I
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5df10f4b-7855-4742-b9d7-67fbf8a16d75 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Anomalous entropy-driven kinetics of dislocation nucleation
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3111805f-1431-4982-aaac-cafb532f50da · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Variational transition state theory: theoretical framework and recent developments
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71bea8b5-bc6c-422f-88f0-4b230bc47e09 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Equivariant Matrix Function Neural Networks
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c29234d-690d-4cdb-a3ac-5cbab554f14d · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Automatic differentiation in machine learning: a survey
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 106d41b6-0007-43f2-98c2-0c96208f496a · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Matrix functions in network analysis
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b110e023-94e6-4159-812f-a19de167003c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Forward- or reverse-mode automatic differentiation: What’s the difference?
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99de2bf9-4a7c-4d0a-96de-75ad7eff5d14 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Thermodynamic Limit of the Transition Rate of a Crystalline Defect
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 836e3ee7-e8fd-43cb-842a-b8d486688b07 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Reactivity of Single-Atom Alloy Nanoparticles: Modeling the Dehydrogenation of Propane
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f9f65721-0a7c-4e4e-81a4-911dd1efb1ce · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4f7e437-cb51-41a3-8162-e47ee3557884 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Caillard and J.-L
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 66094799-ee30-4cb3-83b7-917fad5f66e0 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Constrained reaction coordinate dynamics for the simulation of rare events
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5214ea89-d7b4-4815-a9c3-42b82d36c42c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations QM/MM Methods for Crystalline Defects. Part 1: Locality of the Tight Binding Model
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22cbfeb6-e1ab-464e-992f-87d0383de98d · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Locating landmarks on high-dimensional free energy surfaces
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ff59b5c5-8db4-4163-915a-2b5abf31a1ce · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Activation energies for vacancy migration, clustering and annealing in silicon
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c88db1ab-bfc0-49b0-9893-1207787b9b27 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations A survey of direct methods for sparse linear systems
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8548fc0f-ab21-4a57-af0d-5e05a9accd74 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d7563f1-0545-4ef1-ab51-a44d6b37b226 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Free energy calculations: an efficient adaptive biasing potential method
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 931cf5c3-8500-43e4-81b8-f1a1e1953b4a · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations https : / / dlmf
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 589d5913-61be-46a1-9317-b87b508ace7c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bfd6afe-6442-476e-8aab-62eb47cb063e · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Stability analysis of linear time-invariant dynamic systems using the matrix sign function and the Adomian decomposition method
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 523a647f-e649-4008-bcbc-6214a777534a · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Vibrational thermodynamics of materials
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d56dc852-6000-4afa-9e7d-9da89c95e2e3 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations What Color Is Your Jacobian? Graph Coloring for Computing Derivatives
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 676b037d-47c2-4988-bc13-b80c84b1d265 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Breakdown of the Arrhenius Law in Describing Vacancy Formation Energies: The Importance of Local Anharmonicity Revealed by Ab initio Thermodynamics
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ddba2f94-e863-4c09-8fce-0f0400426ea3 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 95879b74-efa5-4a08-bdd9-961661793d52 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Ab initio up to the melting point: Anharmonicity and vacancies in aluminum
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db3784f4-3640-4a90-bee1-4151a85601ad · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations On the numerical stability of algorithmic differentiation
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 629549f3-9b89-4a02-85b2-d8e44fa6722e · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Griewank and A
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88496803-77a6-4e6d-b129-b4dcba465367 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations On Automatic Differentiation
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c6eb5892-1943-4688-b71b-7c9a0af85ab4 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Dual-number transformation and its applications to robotics
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c8d904b5-64a7-4672-98ab-2305e49eeaec · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Computing Aα, log(A), and Related Matrix Functions by Contour Integrals
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6e9b5fa-8b93-47a5-816e-8faf470a4595 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Theory of the backpropagation neural network
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation deb74dbc-fd5c-4994-bfbc-375b82948d25 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ba5100f-7fc4-4578-b225-5b7680dd3669 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 563737cf-d0b0-43a3-8714-f4e6946c72ba · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations A Hitchhiker’s Guide to Automatic Differentiation
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c7cc0ea4-5aff-4157-808a-e3f59fb3ea79 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Don't Unroll Adjoint: Differentiating SSA-Form Programs
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab4a4183-25f8-4097-a8b2-77f07649f852 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations PSelInv—A Distributed Memory Parallel Algorithm for Selected Inversion: The Symmetric Case
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fd9325ef-7b16-4672-9b17-5c555c77f162 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a582e8bb-b3aa-4c1f-b44b-f530de04cd9f · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Escaping free-energy minima
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3417c912-d3dc-431b-97f1-abe218abe09e · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Machine learning surrogate models for strain-dependent vibrational properties and migration rates of point defects
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d150191b-49d4-4797-968b-b227d1134fe0 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Lewars.Computational Chemistry: Introduction to the Theory and Applications of Molecular and Quantum Mechanics
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation eb2fc79f-0b7d-4dac-8734-f5eef11a5d7e · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Atomistic analysis of the vacancy diffusion mechanism
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 21270b1d-437d-45f0-a093-7854350a2ba7 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7356424c-9c73-4c27-88bf-8f40f0a4b97c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations EmpiricalPotentials.jl
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 781dbcb8-09e9-4561-bdf4-1b3326e3d290 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations SaddleSearch.jl
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 439b4cfa-5890-4236-b1b7-ff1620193434 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Entropic Stabilization of Nanoscale V oids in Materials under Tension
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation edc9ace8-6f9b-4cbe-b370-892b13aec8be · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Automatic Differentiation, C++ Templates, and Photogrammetry
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54983580-f98e-4db2-812a-4b3989db49ef · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Diffusion on Demand to Control Precipitation Aging: Application to Al-Mg-Si Alloys
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e82aff5f-0960-4e3e-8d6d-2406c4e22c6a · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Correlation between self-diffusion in Si and the migration mechanisms of vacancies and self-interstitials: An atomistic study
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b4188b0d-e129-4a00-bc48-84e7ecf9dbf3 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations A Discrete Dislocation Model of Creep in Single Crystals
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5eba8649-e4fa-4655-843f-0e6cf46d1560 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Forward-Mode Automatic Differentiation in Julia
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc6570c2-a29f-41f3-a44f-fa8db5cdd1aa · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Entropic effect on the rate of dislocation nucleation
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9628a50b-674e-4073-b6ac-865fdaf89b3b · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Formation and migration energies of the vacancy in Si calculated using the HSE06 range-separated hybrid functional
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 84680169-d6b1-4d06-b5d6-ed2b6ce346a7 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Mapping saddles and minima on free energy surfaces using multiple climbing strings
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2f04bca8-b5e7-40b7-85c3-a46d8d9f2a49 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unsupervised Calculation of Free Energy Barriers in Large Crystalline Systems
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13dab3c6-8773-4bd7-a499-76d6a0e1289c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations cppduals: a nestable vectorized templated dual number library for C++11
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e869c01c-d2e6-4ad7-baf0-19a416960598 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c7fe1092-0f7d-4c5a-ac55-19f936f2af9c · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Animations of migration paths for defects in silicon crystals at 100K
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c2a9736f-0fc2-468b-b7f1-eba603198175 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Vibrational entropy: spatial decomposition and surrogate models
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0cda4b97-bed9-4f5d-bc2c-9bb3b089bd90 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations EntropyGrad.jl
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1b22860b-0111-4d45-bc46-72389ffa5a2b · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Surrogate models for vibrational entropy based on a spatial decomposition
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3946995f-04fb-4d1b-bee3-308230420c1f · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c399154-5a64-4278-bd7d-c4433ba0d6cb · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Theory of Grain Boundary Migration Rates
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ccbc20dc-850c-4127-9b33-7f708b08d2af · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Direct Transformation of Vacancy V oids to Stacking Fault Tetrahedra
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b0fbef7c-b93c-46d3-b937-e8b02bdb45bf · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Origins and implications of temperature-dependent activation energy barriers for dislocation nucleation in face-centered cubic metals
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2e3713ea-9a6a-4f79-87ab-477c88ba4940 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations A Simple Automatic Derivative Evaluation Program
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3309531a-fada-4a08-93e1-624b32c2f7d8 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e8317e25-45ac-4965-b7b7-94e0bb421965 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 101d9a52-9648-4b0e-886c-3a71eea70ac9 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Generalized stacking fault energies for embedded atom FCC metals
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 646a8d40-5109-424c-8528-764103d11017 · outbound
Fast automatically differentiable matrix functions and applications in molecular simulations Unresolved cited work
Reference 2024
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.