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Paper Citation Record · LEDGER

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices

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.

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pith.paper-citation-record.v1
2608.10041 v1

Coverage vector

measured 49 of 49 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

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External citation measurements

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Outbound references

Observation 1dca4176-a443-4f02-bc1a-fdbec3431737 · outbound

This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 1

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Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 2

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This paper cites (Academic Press, Inc., San Diego, 2023).

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

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This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 4

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This paper cites Simulation and under- standing of atomic and molecular quantum crystals,.

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

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This paper cites Die electrostatische untersuchung des kristallgitters,.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Die electrostatische untersuchung des kristallgitters,

Reference 6

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This paper cites Evaluation of optical and electrostatic lattice po- tentials,.

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

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This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 8

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This paper cites The electrostatic potential in a finite ionic crystal,.

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

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This paper cites Coulombic potential lattice sums,.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Coulombic potential lattice sums,

Reference 10

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Observation f8aad4e0-dcff-4b8d-aac7-51c2b11ba158 · outbound

This paper cites Simulation of electrostatic systems in periodic boundary conditions. i. lattice sums and dielectric constants,.

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

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This paper cites Electrostatic energy in ionic crystals,.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Electrostatic energy in ionic crystals,

Reference 12

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This paper cites Communication: On the origin of the surface term in the ewald formula,.

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

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This paper cites thesis, Jilin University (2017), pages 139- 140.

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

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This paper cites The madelung prob- lem of finite crystals,.

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

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This paper cites The finite coulomb lattice sum: A resolution of conditional convergence through exact shape and size,.

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

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This paper cites Infinite boundary terms of ewald sums and pair- wise interactions for electrostatics in bulk and at interfaces,.

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

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This paper cites Infinite boundary terms and pairwise interactions: A unified framework for periodic coulomb systems,.

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

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This paper cites On the influence of obstacles arranged in rect- angular order upon the properties of a medium,.

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

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This paper cites Particle mesh ewald: An n log(n) method for ewald sums in large systems,.

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

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This paper cites A smooth particle mesh ewald method,.

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

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This paper cites Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates.

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

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This paper cites An Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells.

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

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Observation e749f6ac-5b5b-48d6-8255-c3c47a52468b · outbound

This paper cites A symmetry-preserving mean field theory for electrostatics at interfaces,.

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

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Observation c4a9503b-3a9e-4ca0-98ea-f515c99af26d · outbound

This paper cites The symmetry-preserving mean field condi- tion for electrostatic correlations in bulk,.

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

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Observation d80b18bd-0148-4246-b3f4-f27a865027ab · outbound

This paper cites A screening con- dition imposed stochastic approximation for long-range electro- static correlations,.

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

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This paper cites Symmetry-preserving random batch ewald method for constant-potential simulation of electrochemical systems,.

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

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Observation 8d7e8a4a-87ad-4081-8e0e-d99755afe5d9 · outbound

This paper cites Coulomb potential inside a large finite crystal,.

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

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Source-reported events for the cited work

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Observation dde3773e-8937-4cf7-b8e2-b110f62b971f · outbound

This paper cites Electrostatic potentials in systems periodic in one, two, and three dimensions,.

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

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This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 30

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Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 31

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This paper cites On the calculation of lattice sums,.

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

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Observation 688a4a4f-822e-49ee-aecb-3fdf91862ed0 · outbound

This paper cites Convergence of lattice sums and madelung’s constant,.

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

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 5c96c22e-80e7-43fb-82e2-2138b191adf5 · outbound

This paper cites Accuracy and efficiency of the particle mesh ewald method,.

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

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Observation fb2989d4-2c6b-4a45-b970-acff12aeaab1 · outbound

This paper cites A fast algorithm for particle simulations,.

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

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no resolver link, observed 2026-08-14T04:20:13.685070Z

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Observation fc4df37b-4be3-456c-b86a-0da9307a0f2e · outbound

This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 36

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Observation 6d8e8cc9-9fc8-442e-91ea-4a783af6e3c5 · outbound

This paper cites A fast multi- pole method for periodic systems with arbitrary unit cell ge- ometries,.

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

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no resolver link, observed 2026-08-14T04:20:13.694125Z

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source=pdf_text observed=2026-08-14T04:20:13.694125Z digest=sha256:d8a54e66f95d18ce28768691c40932230d117cd57e610c08b2e0c37da0c07f69

Observation c14b738a-e82e-498e-a923-d04425a18f49 · outbound

This paper cites On the stability of certain heteropolar crystals,.

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

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no resolver link, observed 2026-08-14T04:20:13.703967Z

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source=pdf_text observed=2026-08-14T04:20:13.703967Z digest=sha256:06977241f3b8c38caf8534164557e447d8c68ead500772f8485645677a606389

Observation aae0243a-bc48-49cc-a306-01019dce1bc2 · outbound

This paper cites Simple calculation of madelung con- stants,.

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

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verified fuzzy
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation dba3ef19-f6f6-4cfc-a2dd-213362fb3a95 · outbound

This paper cites Electrostatic potentials using direct-lattice summations,.

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

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no resolver link, observed 2026-08-14T04:20:13.712149Z

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source=pdf_text observed=2026-08-14T04:20:13.712149Z digest=sha256:8aa06241a9fdb21d47dff8a86381289859b3892ff2c4849f29f19a040df34e15

Observation 56961df9-9e91-44fe-b6cb-d0e373a958a6 · outbound

This paper cites Madelung fields from optimized point charges for ab initio cluster model calcu- lations on ionic systems,.

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

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Observation ad9f515e-52cf-4a6f-9f0c-6c716fb456a8 · outbound

This paper cites Determin- ing point charge arrays that produce accurate ionic crystal fields for atomic cluster calculations,.

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:20:13.720144Z digest=sha256:e8478d9d1c2ee16e1078ee69600fb5ae98f358ac6a8d9ecea59b80af8ceefd1b

Observation 77fa83cb-4e20-44e5-8605-a2ea5aa9de27 · outbound

This paper cites Fast calculation of the electrostatic potential in ionic crystals by direct summation method,.

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cedfd896-70c7-4ba4-8dcf-51c4045ea8e2 · outbound

This paper cites Clifford boundary conditions: A simple direct-sum evaluation of madelung con- stants,.

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:20:13.729065Z digest=sha256:fbbc50ece94569bc310beecf0d37ce8aa273f9ba235d6754ec32c0554fd3732e

Observation 1f8119ba-8860-43e1-8293-0300c3eb3434 · outbound

This paper cites Clifford boundary conditions for periodic sys- tems: the madelung constant of cubic crystals in 1, 2 and 3 dimensions,.

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

Resolution
verified fuzzy
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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.

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Observation 73e25572-f2ca-46e7-8b60-df868baa9cd8 · outbound

This paper cites The crystal structures of wol- lastonite and pectolite,.

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

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 98fec9db-3853-4eea-81e8-5ed04b684622 · outbound

This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 47

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bc6d83a6-b3f3-434d-ad04-63e82fb94dc4 · outbound

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Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 49

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T04:20:13.750377Z digest=sha256:e8f80b35d12d6b41117cc5abf0922343b625cfacf39cc3b739dfc6b543e62ef3

Observation f034b415-1f33-4721-bcba-25036d8428cd · outbound

This paper cites an unresolved cited work.

Analytic Boundary Terms for Arbitrary Crystal Geometries and Direct-Sum Evaluation of Madelung Constants in Triclinic Lattices Unresolved cited work

Reference 2026

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raw_fallback, observed 2026-08-14T04:20:13.857465Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.