Paper Citation Record · LEDGER

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series

As of 18 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 3 inbound Pith citation observations for arXiv:2506.17441.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.17441 v1

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:16:38.565133Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:16:38.167107Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

50 of 50 outbound references displayed

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External citation measurements

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arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 5a45089f-e10f-4daf-a75f-47ce34bb22e1 · outbound

This paper cites Chapman and T.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Chapman and T

Reference 1

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Source-reported events for the cited work

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Observation e3af7014-2470-4820-98a3-17a607cf07b5 · outbound

This paper cites Grad, Communications on pure and applied mathe- matics 2, 331 (1949).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Grad, Communications on pure and applied mathe- matics 2, 331 (1949)

Reference 2

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Observation c5a43e85-d7ab-4afe-91b4-a01ff5de6bf4 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 3

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Observation d0be27cb-e93c-4d19-a4c0-cf717693f3fc · outbound

This paper cites Grad, The physics of Fluids 6, 147 (1963).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Grad, The physics of Fluids 6, 147 (1963)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:39.891673Z

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Observation 3ca33167-fbdd-4911-8165-59edfe5c999d · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 5

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Observation 3867539a-9f2a-4290-a120-456a283aadd3 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:16:39.842742Z

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Observation 592606cb-3703-4609-b5e9-762d4c257280 · outbound

This paper cites Saint-Raymond, Bulletin of the American Mathemat- ical Society 51, 247 (2014).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Saint-Raymond, Bulletin of the American Mathemat- ical Society 51, 247 (2014)

Reference 7

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Observation 30336f8e-6ae8-474c-9ce6-a631b0a08040 · outbound

This paper cites Divergence of the Chapman-Enskog expansion in relativistic kinetic theory.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Divergence of the Chapman-Enskog expansion in relativistic kinetic theory

Reference 8

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Observation 7d156986-6a44-4d94-96f4-38c322b5822b · outbound

This paper cites Santos, Physical review letters 100, 078003 (2008).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Santos, Physical review letters 100, 078003 (2008)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:39.805236Z

Source-reported events for the cited work

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Observation 5d8f9dd3-4ad4-49a4-9287-81ac3070bee9 · outbound

This paper cites Burnett, Proceedings of the London Mathematical So- ciety 2, 382 (1936).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Burnett, Proceedings of the London Mathematical So- ciety 2, 382 (1936)

Reference 10

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Observation c4abd8d8-a8c9-4623-8b7b-b86a891b7ca6 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 11

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Observation 9a7f0434-ea90-47de-aed7-55654b2d0d71 · outbound

This paper cites Santos, J.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Santos, J

Reference 12

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Observation da8f86e5-86c8-4cf6-b799-d4ade9fc3eff · outbound

This paper cites On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series

Reference 13

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Observation eabe92ee-b2e7-48b7-aa67-ddb447f53474 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 14

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Observation 52855069-f3d2-413a-a985-fa96dffaf88d · outbound

This paper cites Boltzmann, Weitere Studien ¨ uber das W¨ armegleichgewicht unter Gasmolek¨ ulen, Vol.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Boltzmann, Weitere Studien ¨ uber das W¨ armegleichgewicht unter Gasmolek¨ ulen, Vol

Reference 15

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Observation 733addf0-0310-401d-a374-f9a93511e214 · outbound

This paper cites Hilbert, in Integralgleichungen und Gleichungen mit unendlich vielen Unbekannten (Springer, 1989) pp.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Hilbert, in Integralgleichungen und Gleichungen mit unendlich vielen Unbekannten (Springer, 1989) pp

Reference 16

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Observation e5a3ae1d-f96e-46dc-9452-fae455107c93 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 17

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Observation 4fa6eb46-4de7-4435-96a3-3b89cf669b1f · outbound

This paper cites Kogelbauer and I.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer and I

Reference 18

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This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 19

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Observation 67b4f589-e884-4e36-9236-fd7cac8c2cd5 · outbound

This paper cites MacKay, in Energy localisation and Transfer (World Scientific, 2004) pp.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series MacKay, in Energy localisation and Transfer (World Scientific, 2004) pp

Reference 20

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Observation c9b2310b-aa12-488c-8333-815bee2eb1e0 · outbound

This paper cites Cabr´ e, E.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Cabr´ e, E

Reference 21

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On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 22

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Observation 6a4ab641-c4cf-4577-99a7-f0420a6a6dc0 · outbound

This paper cites Siewert, Physics of Fluids 15, 1696 (2003).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Siewert, Physics of Fluids 15, 1696 (2003)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:39.481008Z

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Observation e2617872-21ad-43d9-9c87-e573e6cc1aae · outbound

This paper cites Cercignani and C.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Cercignani and C

Reference 24

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Observation 9831c827-9abc-414e-b266-cc3ec51c7a2c · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 25

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Observation 2f7491c0-423b-498b-8249-6d2e481040de · outbound

This paper cites Kogelbauer and I.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer and I

Reference 26

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Observation 5d02c62f-a8e5-4822-aa87-1c82edcec67f · outbound

This paper cites Kogelbauer and I.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer and I

Reference 27

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Observation 0d29238a-5f69-486a-9724-8d9143dfc7f5 · outbound

This paper cites Nishida and K.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Nishida and K

Reference 28

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Observation c824684d-55e5-4d3a-a9f2-4c1bf735a939 · outbound

This paper cites Learning the Optimal Hydrodynamic Closure.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Learning the Optimal Hydrodynamic Closure

Reference 29

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Observation f16cf83d-a6e1-4d7d-804d-3bd5f3add388 · outbound

This paper cites Kato, Perturbation theory for linear operators , Vol.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kato, Perturbation theory for linear operators , Vol

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T19:16:38.423719Z

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Observation 3afbbf22-5b25-49af-bc19-349e4f7deb1b · outbound

This paper cites Rudin, Real and complex analysis (McGraw-Hill, Inc., 1987).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Rudin, Real and complex analysis (McGraw-Hill, Inc., 1987)

Reference 31

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Observation 0770ff31-c52c-4020-abcd-f8775f559495 · outbound

This paper cites Dudy´ nski, Journal of Statistical Physics 153, 1084 (2013).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Dudy´ nski, Journal of Statistical Physics 153, 1084 (2013)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:16:39.241876Z

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Observation 9ffd1e1a-93da-407f-b0c6-ad1306a0eec3 · outbound

This paper cites Karlin, S.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Karlin, S

Reference 33

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Observation 0846e78d-e69c-42c9-b9e7-bddf7588c995 · outbound

This paper cites Kogelbauer, Continuum Mechanics and Thermody- namics 32, 1141 (2020).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer, Continuum Mechanics and Thermody- namics 32, 1141 (2020)

Reference 34

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Observation ff651f79-ff55-4880-80f3-83a9b46c9f71 · outbound

This paper cites Cercignani and A.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Cercignani and A

Reference 35

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Observation 9389e509-b4ef-40be-ba40-b3493665e2ac · outbound

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On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 36

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Observation 4fc02287-f167-460f-a35e-45c751ae2cb6 · outbound

This paper cites Kogelbauer, Continuum Mechanics and Thermody- namics 33, 431 (2021).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer, Continuum Mechanics and Thermody- namics 33, 431 (2021)

Reference 37

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Observation 305ea2a6-9676-4bb1-b59f-27257f085331 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 38

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Observation 35504344-09ed-4414-a928-198a59e298cf · outbound

This paper cites Abramowitz and I.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Abramowitz and I

Reference 39

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Observation a1548a86-7192-433a-bc49-e5b4bb673e62 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 40

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Observation ed02a3ac-a3a3-4fd8-8fe1-513d8c3c8b0c · outbound

This paper cites Uribe, R.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Uribe, R

Reference 41

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Observation 382357bf-fa46-4336-b420-60a7dffec1c8 · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences,.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series The On-Line Encyclopedia of Integer Sequences,

Reference 42

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Observation e1690545-066a-48db-af72-762bf6820319 · outbound

This paper cites Flajolet and M.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Flajolet and M

Reference 43

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Observation ecb3aa7a-6f70-4706-9c16-a7f477c1e691 · outbound

This paper cites A chord diagram expansion coming from some Dyson-Schwinger equations.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series A chord diagram expansion coming from some Dyson-Schwinger equations

Reference 44

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This paper cites Borinsky, The Electronic Journal of Combinatorics , P4 (2018).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Borinsky, The Electronic Journal of Combinatorics , P4 (2018)

Reference 45

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This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 46

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Observation 6813d633-1940-4318-a50e-fce51b6d0789 · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 47

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This paper cites Glimm and A.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Glimm and A

Reference 48

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Observation c9252cc1-411a-46f9-ba76-97f0fb68ec78 · outbound

This paper cites Rosenau, Physical Review A 40, 7193 (1989).

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Rosenau, Physical Review A 40, 7193 (1989)

Reference 49

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Observation ef10a104-98b8-44a1-ae48-a30d7b2dea2b · outbound

This paper cites an unresolved cited work.

On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Unresolved cited work

Reference 50

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Pith citing papers

Observation 4b8553f0-7a48-4a47-af5a-a4dfaebbfcb3 · inbound

Learning the Optimal Hydrodynamic Closure cites this paper.

Learning the Optimal Hydrodynamic Closure On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series

Reference 22

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