Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:20:13.750377Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2608.10041.
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 2026-08-14T04:20:13.750377Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1dca4176-a443-4f02-bc1a-fdbec3431737 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bbbe4022-1a1d-4c77-9be4-c8c47197a582 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0dd57d12-30e1-45a3-9e98-6e1f5871075e · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices (Academic Press, Inc., San Diego, 2023)
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bf471fe3-e8fd-4864-af91-059dc2b552ec · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ede741d6-e4b0-4f63-8428-bd8e8c0cae51 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Simulation and under- standing of atomic and molecular quantum crystals,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5c41cb20-9647-40dd-87c6-b81e42d8e0ac · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Die electrostatische untersuchung des kristallgitters,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ef406974-f5b2-4592-8622-39e6d5ce07ff · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Evaluation of optical and electrostatic lattice po- tentials,
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c402bb0-90c7-4470-bc03-2c73b94931c2 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d472d50-728d-4e6c-b4c1-987f2fc8ba78 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices The electrostatic potential in a finite ionic crystal,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9b1d13ea-7436-4074-a627-2384cdbe3346 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Coulombic potential lattice sums,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8aad4e0-dcff-4b8d-aac7-51c2b11ba158 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Simulation of electrostatic systems in periodic boundary conditions. i. lattice sums and dielectric constants,
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8235484b-25be-46da-bafd-fdaa78b1698e · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Electrostatic energy in ionic crystals,
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c529885f-c23f-4551-b7c8-885c7ad6ae32 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Communication: On the origin of the surface term in the ewald formula,
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06be4aa4-5186-4dc9-b45b-0e9604724c20 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices thesis, Jilin University (2017), pages 139- 140
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8a121373-5cd2-4946-b9cf-e99d1445aba5 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices The madelung prob- lem of finite crystals,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c281501d-04f1-43fb-94d5-c777ef69f7d1 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices The finite coulomb lattice sum: A resolution of conditional convergence through exact shape and size,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 359d42eb-59fb-4694-96b4-42493cf521e0 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Infinite boundary terms of ewald sums and pair- wise interactions for electrostatics in bulk and at interfaces,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6654d9fa-62a2-425f-8920-f2e874af3879 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Infinite boundary terms and pairwise interactions: A unified framework for periodic coulomb systems,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5ddef4b7-8f23-4dd9-a5c3-1b0af010197e · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices On the influence of obstacles arranged in rect- angular order upon the properties of a medium,
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01914fa3-14c2-4d3f-a271-ad04caba4234 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Particle mesh ewald: An n log(n) method for ewald sums in large systems,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ed27406-eeea-4ec4-8b3a-c621884bac77 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices A smooth particle mesh ewald method,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1874b14a-7f8f-4698-8aad-cfc74e8d0408 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68e602aa-78e2-4465-8a0e-3ee469016615 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices An Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e749f6ac-5b5b-48d6-8255-c3c47a52468b · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices A symmetry-preserving mean field theory for electrostatics at interfaces,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c4a9503b-3a9e-4ca0-98ea-f515c99af26d · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices The symmetry-preserving mean field condi- tion for electrostatic correlations in bulk,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d80b18bd-0148-4246-b3f4-f27a865027ab · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices A screening con- dition imposed stochastic approximation for long-range electro- static correlations,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 76b8b85c-8c81-4513-a0d0-3d98827c9542 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Symmetry-preserving random batch ewald method for constant-potential simulation of electrochemical systems,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8d7e8a4a-87ad-4081-8e0e-d99755afe5d9 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Coulomb potential inside a large finite crystal,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dde3773e-8937-4cf7-b8e2-b110f62b971f · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Electrostatic potentials in systems periodic in one, two, and three dimensions,
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a55e8c1-f89b-46f5-adfa-fe23523d9677 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca0cb4b4-bcb6-456e-8db5-83f1835a8888 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c45cf74e-1b7a-4e50-b581-c57571c0e23b · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices On the calculation of lattice sums,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 688a4a4f-822e-49ee-aecb-3fdf91862ed0 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Convergence of lattice sums and madelung’s constant,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5c96c22e-80e7-43fb-82e2-2138b191adf5 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Accuracy and efficiency of the particle mesh ewald method,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fb2989d4-2c6b-4a45-b970-acff12aeaab1 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices A fast algorithm for particle simulations,
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc4df37b-4be3-456c-b86a-0da9307a0f2e · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d8e8cc9-9fc8-442e-91ea-4a783af6e3c5 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices A fast multi- pole method for periodic systems with arbitrary unit cell ge- ometries,
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c14b738a-e82e-498e-a923-d04425a18f49 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices On the stability of certain heteropolar crystals,
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aae0243a-bc48-49cc-a306-01019dce1bc2 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Simple calculation of madelung con- stants,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dba3ef19-f6f6-4cfc-a2dd-213362fb3a95 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Electrostatic potentials using direct-lattice summations,
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56961df9-9e91-44fe-b6cb-d0e373a958a6 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Madelung fields from optimized point charges for ab initio cluster model calcu- lations on ionic systems,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ad9f515e-52cf-4a6f-9f0c-6c716fb456a8 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Determin- ing point charge arrays that produce accurate ionic crystal fields for atomic cluster calculations,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 77fa83cb-4e20-44e5-8605-a2ea5aa9de27 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Fast calculation of the electrostatic potential in ionic crystals by direct summation method,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cedfd896-70c7-4ba4-8dcf-51c4045ea8e2 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Clifford boundary conditions: A simple direct-sum evaluation of madelung con- stants,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1f8119ba-8860-43e1-8293-0300c3eb3434 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Clifford boundary conditions for periodic sys- tems: the madelung constant of cubic crystals in 1, 2 and 3 dimensions,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 73e25572-f2ca-46e7-8b60-df868baa9cd8 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices The crystal structures of wol- lastonite and pectolite,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 98fec9db-3853-4eea-81e8-5ed04b684622 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bc6d83a6-b3f3-434d-ad04-63e82fb94dc4 · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f034b415-1f33-4721-bcba-25036d8428cd · outbound
Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work
Reference 2026
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
No inbound Pith citation observations are available.