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Paper Citation Record · LEDGER

Learning the Optimal Hydrodynamic Closure

As of 18 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2501.13938.

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

pith.paper-citation-record.v1
2501.13938 v3

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:42:53.415699Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:16:38.416749Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T19:16:38.651258Z

Reference resolution

62 of 62 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8e82bff-b161-47d2-9b90-0d5108301630 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 324567b9-75fb-415f-a70e-552a75cdc103 · outbound

This paper cites The analytic closure serves as a further benchmark to ensure the accuracy of the learned closure up to the cirtical wave number.

Learning the Optimal Hydrodynamic Closure The analytic closure serves as a further benchmark to ensure the accuracy of the learned closure up to the cirtical wave number

Reference 2

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 47842ba1-3235-4f93-bdfd-24009dcc614f · outbound

This paper cites As a further illustration of the optimality of the spec- trally closed hydrodynamics, we compute the time evolu- tion of density and temperature directly.

Learning the Optimal Hydrodynamic Closure As a further illustration of the optimality of the spec- trally closed hydrodynamics, we compute the time evolu- tion of density and temperature directly

Reference 3

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Observation 5b898c8c-b70e-41d1-b3c1-aa9308cf2106 · outbound

This paper cites Karplus, Development of multiscale models for com- plex chemical systems: From h+ h 2 to biomolecules (no- bel lecture)., Angewandte Chemie International Edition 53(2014).

Learning the Optimal Hydrodynamic Closure Karplus, Development of multiscale models for com- plex chemical systems: From h+ h 2 to biomolecules (no- bel lecture)., Angewandte Chemie International Edition 53(2014)

Reference 4

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 718134fa-131d-4d66-a7db-45437a466178 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 5

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Observation f4cba4aa-7e2f-4849-8e50-798c4cfd3b37 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 6

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Observation cac10653-06dc-431a-9aa4-6352b9b7f8ab · outbound

This paper cites Akhlaghi, E.

Learning the Optimal Hydrodynamic Closure Akhlaghi, E

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f1ca80ec-be91-45d7-985d-a86a075fefff · outbound

This paper cites Bird,Molecular Gas Dynamics and the Direct Simu- lation of Gas Flows(Clarendon Press, 1994).

Learning the Optimal Hydrodynamic Closure Bird,Molecular Gas Dynamics and the Direct Simu- lation of Gas Flows(Clarendon Press, 1994)

Reference 8

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Observation e5e8ff93-e01b-4813-a523-456816521e00 · outbound

This paper cites Jenny, M.

Learning the Optimal Hydrodynamic Closure Jenny, M

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0617dacf-a3f1-490a-b1b5-f5d869ed622e · outbound

This paper cites Shakhov, Generalization of the Krook kinetic relax- ation equation, Fluid dynamics3, 95 (1968).

Learning the Optimal Hydrodynamic Closure Shakhov, Generalization of the Krook kinetic relax- ation equation, Fluid dynamics3, 95 (1968)

Reference 10

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Observation faf37b4a-ffa8-4d2d-87c0-e6eab8dc64d5 · outbound

This paper cites Struchtrup and M.

Learning the Optimal Hydrodynamic Closure Struchtrup and M

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation cc340329-8782-4d6d-b522-7e7292bf6ef8 · outbound

This paper cites Wu and X.-J.

Learning the Optimal Hydrodynamic Closure Wu and X.-J

Reference 12

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a6267cb4-7a2b-481d-8fdf-9b5dfd0ca01c · outbound

This paper cites Zwanzig,Nonequilibrium statistical mechanics(Ox- ford university press, 2001).

Learning the Optimal Hydrodynamic Closure Zwanzig,Nonequilibrium statistical mechanics(Ox- ford university press, 2001)

Reference 13

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 77955e60-a313-47b9-b74c-ad898bbdd057 · outbound

This paper cites Hilbert, Mathematical problems, Bulletin of American Mathematical Society37, 407 (2000).

Learning the Optimal Hydrodynamic Closure Hilbert, Mathematical problems, Bulletin of American Mathematical Society37, 407 (2000)

Reference 14

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Observation 3fed9402-1f35-44a7-a828-17591f7ba753 · outbound

This paper cites Saint-Raymond,Hydrodynamic limits of the Boltz- mann equation, 1971 (Springer Science & Business Me- dia, 2009).

Learning the Optimal Hydrodynamic Closure Saint-Raymond,Hydrodynamic limits of the Boltz- mann equation, 1971 (Springer Science & Business Me- dia, 2009)

Reference 15

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f28e4378-d1ab-485e-a66c-69a8b1dc0af3 · outbound

This paper cites Chapman and T.

Learning the Optimal Hydrodynamic Closure Chapman and T

Reference 16

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 38afaa22-5103-4d21-90ab-0b394b844555 · outbound

This paper cites Grad, On the kinetic theory of rarefied gases, Commu- nications on pure and applied mathematics2, 331 (1949).

Learning the Optimal Hydrodynamic Closure Grad, On the kinetic theory of rarefied gases, Commu- nications on pure and applied mathematics2, 331 (1949)

Reference 17

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Observation 1735d56f-0ebe-433a-9781-6b1a7380d9b8 · outbound

This paper cites Burnett, The distribution of velocities in a slightly non-uniform gas, Proceedings of the London Mathemat- ical Society2, 385 (1935).

Learning the Optimal Hydrodynamic Closure Burnett, The distribution of velocities in a slightly non-uniform gas, Proceedings of the London Mathemat- ical Society2, 385 (1935)

Reference 18

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This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 19

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Observation 8a758fca-75d6-4533-85e3-c88417d073cf · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 20

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0722bc53-4ceb-4b34-b5fd-413957feff7f · outbound

This paper cites Slemrod, From Boltzmann to Euler: Hilbert’s 6th problem revisited, Computers & Mathematics with Ap- plications65, 1497 (2013), Grasping Complexity.

Learning the Optimal Hydrodynamic Closure Slemrod, From Boltzmann to Euler: Hilbert’s 6th problem revisited, Computers & Mathematics with Ap- plications65, 1497 (2013), Grasping Complexity

Reference 21

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

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

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

Reference 22

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Observation 2e9925b7-e2c8-4142-9198-23a21daaadaf · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 23

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Observation e147b97e-fb04-44df-820c-2840c9b13ffd · outbound

This paper cites Gorban and I.

Learning the Optimal Hydrodynamic Closure Gorban and I

Reference 24

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This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 25

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Observation b9fc3556-edd2-4269-8025-b3fa274f1a2f · outbound

This paper cites MacKay, Slow manifolds, inEnergy localisation and Transfer(World Scientific, 2004) pp.

Learning the Optimal Hydrodynamic Closure MacKay, Slow manifolds, inEnergy localisation and Transfer(World Scientific, 2004) pp

Reference 26

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Observation 9cff62d3-2250-4ec4-8a1f-16eb8a3f1cd3 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 78855d68-3fc2-4c4c-a219-ee50e1ce06f1 · outbound

This paper cites Ax ˚ as, M.

Learning the Optimal Hydrodynamic Closure Ax ˚ as, M

Reference 28

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cc5f64c7-0a63-4725-94ca-dffabe763439 · outbound

This paper cites Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of differential equations31, 53 (1979).

Learning the Optimal Hydrodynamic Closure Fenichel, Geometric singular perturbation theory for ordinary differential equations, Journal of differential equations31, 53 (1979)

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 901370e4-aabd-46b2-b888-b11bdc75df4a · outbound

This paper cites de La Llave, Invariant manifolds associated to nonres- onant spectral subspaces, Journal of statistical physics 87, 211 (1997).

Learning the Optimal Hydrodynamic Closure de La Llave, Invariant manifolds associated to nonres- onant spectral subspaces, Journal of statistical physics 87, 211 (1997)

Reference 30

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7d642e27-7c3d-4eb4-94c0-3e0af4e11b63 · outbound

This paper cites Cabr´ e, E.

Learning the Optimal Hydrodynamic Closure Cabr´ e, E

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8e3fc8e8-92e1-47bb-aab9-6d5d2a8f44a9 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 32

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Observation 009a5bf1-8d73-4297-8cca-d517140709d2 · outbound

This paper cites Kogelbauer and I.

Learning the Optimal Hydrodynamic Closure Kogelbauer and I

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2099b911-5576-4342-9d93-ead5d2a3bad9 · outbound

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Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 35

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation faf895db-8714-44ca-82e6-543cf82f9b6b · outbound

This paper cites Zheng, Y.

Learning the Optimal Hydrodynamic Closure Zheng, Y

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.783394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.312688Z digest=sha256:d26dc4cf015c0894aba1d54f10e17c4fcf6ad54ce357fc9aef1ee341c82f2d6b

Observation efecdc2d-d990-4b04-9ee0-62811837a6f1 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.771591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.316289Z digest=sha256:3d544820f0d7930138ef26954ad3eb5f6918637fd5cb9fa9dd0f0e5661dd6ab4

Observation 4754ab93-f992-420f-80f9-df15c794fd60 · outbound

This paper cites Raissi, P.

Learning the Optimal Hydrodynamic Closure Raissi, P

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.759657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.320038Z digest=sha256:75167456cb4f05ee6b9e6497b4752fc2093be321d7f4306e705eaf48715ca107

Observation 30bc37ea-a9eb-4c45-a698-54a1533df5df · outbound

This paper cites Cercignani,The Boltzmann Equation(Springer New York, 1988).

Learning the Optimal Hydrodynamic Closure Cercignani,The Boltzmann Equation(Springer New York, 1988)

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.748177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.323637Z digest=sha256:3f7dc03518dd5079d2752ee93dcff6f16207b4d289f0943ae5ffe3c7d2825a89

Observation 3740c7c8-97c5-4dc3-84d7-3bb8a0f22fb7 · outbound

This paper cites Risken,The Fokker–Planck Equation(Springer New York, 1996).

Learning the Optimal Hydrodynamic Closure Risken,The Fokker–Planck Equation(Springer New York, 1996)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.735861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.327649Z digest=sha256:a97331413edeefb06e2611fe2104b5658abd44d2d14f1e942511727aa07fb0b4

Observation 00e8b482-2ce4-4efd-b1a9-efed76513ccf · outbound

This paper cites Kogelbauer and I.

Learning the Optimal Hydrodynamic Closure Kogelbauer and I

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.724071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.331307Z digest=sha256:2ded3d9a16ffff15da1301f18f3310e7a79d6cbc284d921efc621ae83ea1b308

Observation 864f80cd-c04b-4a0d-b613-70db825216c4 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.713199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.335087Z digest=sha256:813339445b7bb7429f95457ed2d76e00b7e0c727791ec15794a14148c633af24

Observation c3ceba7e-919b-4d4e-9315-dff6848db58d · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.701939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.339332Z digest=sha256:1bdd8d0f67f479f37982f32da4add2fa018230dac9333cd79e2bcb5d28661dcc

Observation ad8db78f-310b-4171-88fc-76d71f6e462c · outbound

This paper cites Karlin, M.

Learning the Optimal Hydrodynamic Closure Karlin, M

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.691012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.343204Z digest=sha256:86a81f46b5efc2428e4fce5c61ea4ebf2830395eca3dae73e92c24da2f4209a6

Observation 5f4621d9-cc1c-4748-9979-419a184798d6 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.679506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.347254Z digest=sha256:f4506d20bcd4b9ee40cf99599165f7aa21e098556e46d86f6c3f587e41bfc301

Observation 80a8a89d-cd8c-4d03-968c-7aef00a7394b · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.668381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.351086Z digest=sha256:71b424ac62580b6ae0a45a041ae35ddf5bd25dd7cdf7f6a408d36417075e6015

Observation cc467ac3-2742-4dbf-b2e6-7175121c0784 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.656267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.355165Z digest=sha256:428b03ab6907f1a302c1154f162fe182fe35f136e246462f0a239fa708cc698b

Observation 4563a315-4e3d-44cf-87b9-e10aadd56485 · outbound

This paper cites Kogelbauer and I.

Learning the Optimal Hydrodynamic Closure Kogelbauer and I

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.639103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.359536Z digest=sha256:1847793595fe1d4b3046326f2fe6ca8d5d29b95b46047d341571a9c74f61797b

Observation 68988ca1-4e67-43e4-af25-6f027cff53a0 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.624297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.363513Z digest=sha256:e735d44e64d00ffdcca16af0ec65471d33376e2f19da5605bbece362741c96cc

Observation 2110127c-f735-42d3-acf6-e958aca55467 · outbound

This paper cites Hansen and I.

Learning the Optimal Hydrodynamic Closure Hansen and I

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T19:42:53.367388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:42:53.367388Z digest=sha256:4cb9663d21e02e94ed9c609c7bdecaa5385aed55a996ba369b9fbe53bf235ecc

Observation 031c9c0a-a70a-4a74-811f-c13a4331df3d · outbound

This paper cites Goodfellow, Y.

Learning the Optimal Hydrodynamic Closure Goodfellow, Y

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.605746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.371668Z digest=sha256:b8ba8bf3a30d8d2d4e5d869c8ab20c851f571a354c4e6e35f867f60b368622ad

Observation 3bd2560b-03a9-4408-a898-7cf03de0764d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Learning the Optimal Hydrodynamic Closure Adam: A Method for Stochastic Optimization

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-10T19:42:53.375617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:42:53.375617Z digest=sha256:21de021f072367c4e2241aa09dce7372899507328e5c2204edea5db0a1eb79b1

Observation e73dc1ab-8865-43f7-964e-f3b2316b4289 · outbound

This paper cites Palczewski, Spectral properties of the space nonhomo- geneous linearized Boltzmann operator, Transport The- ory and Statistical Physics13, 409 (1984).

Learning the Optimal Hydrodynamic Closure Palczewski, Spectral properties of the space nonhomo- geneous linearized Boltzmann operator, Transport The- ory and Statistical Physics13, 409 (1984)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.594774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.379982Z digest=sha256:2f6b49f6d3dab6e7abaa8fb51fe650aef02bb37c29c640624fd59c690b1e2490

Observation 4620e53f-b977-4b6b-b244-d36ecd087cd0 · outbound

This paper cites Wiener, Generalized harmonic analysis, Acta mathe- matica55, 117 (1930).

Learning the Optimal Hydrodynamic Closure Wiener, Generalized harmonic analysis, Acta mathe- matica55, 117 (1930)

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.583344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.383683Z digest=sha256:df5eb67fcc870e82c2a0eda5626810b3c927c7a6b0b0a237eb3d9962d6047430

Observation dc4ada56-5906-4440-a0ca-d4512f9e7b3e · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T19:42:53.387657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:42:53.387657Z digest=sha256:581837d17adab84e67e67178d2a1c510eaa1f680bc4e41618e33e7e45cac8494

Observation bd2dac3b-b7d1-44c1-b6a8-b612d275c9cd · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.564994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.391574Z digest=sha256:68bf3fe90fe170e93fb5503e16eab8fb63d0da167c2927911f4342ea9c4d653c

Observation c639e83a-874a-494e-9760-47ecc6e1f9e3 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.551987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.395246Z digest=sha256:ae08901d38be302efb655fde7194dc57e6bba5d2c471925cef0164d1f4741bd1

Observation e14dd4d6-cc07-4ad8-bd02-d3bc3348d9c9 · outbound

This paper cites Spectral Closure for the Linear Boltzmann-BGK Equation.

Learning the Optimal Hydrodynamic Closure Spectral Closure for the Linear Boltzmann-BGK Equation

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-10T19:42:53.469424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.399077Z digest=sha256:caff7f9a06f4b57176905fe5267d410cb6994bfa6c5e4d029f17f08fc2ff8985

Observation d5e4011b-85e8-457a-8ae3-1f1b4a387d5b · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.539529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.404362Z digest=sha256:5b46f67a0fa30111238e033697564f67e009f3475d61ce1b26cc1b080c686f0a

Observation 287b7e8d-fc31-4638-a69b-3ece4e05357c · outbound

This paper cites Parameter-Predicting Network (NetNN) The networkNetNNis defined by a feedforward archi- tecture: •Input:A single scalar input, the wave numberk.

Learning the Optimal Hydrodynamic Closure Parameter-Predicting Network (NetNN) The networkNetNNis defined by a feedforward archi- tecture: •Input:A single scalar input, the wave numberk

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:42:53.527495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.408037Z digest=sha256:cf3c4d389d64639da5c8c30206a1c68d019d01517b8c0afb4e44abe85aa80e21

Observation 7e8d153f-a7e5-4d93-b474-b2054e50f343 · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.515568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.412088Z digest=sha256:a9e2b70e7a0aef08757ebcf7ef6c0b554fa93441a461bdb382d5de60c171be4b

Observation 783ea8a7-b8ef-4632-b992-4c93b3ae119a · outbound

This paper cites an unresolved cited work.

Learning the Optimal Hydrodynamic Closure Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:42:53.504490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T19:42:53.415699Z digest=sha256:863aa3088a8d1a064dd69b000bb8e6b72dc35f3f0fba3c4f9c261df29a735b0b

Pith citing papers

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

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

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

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T19:16:38.661523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:16:38.416749Z digest=sha256:83542dbb89faf354fbad6db65932feb0782ffed156ed91f4c10f46f2f66b9e82