Paper Citation Record · LEDGER

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2606.05141.

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pith.paper-citation-record.v1
2606.05141 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T03:49:50.921104Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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unresolved35
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External citation measurements

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Outbound references

Observation 26249058-4b9c-4385-bfde-6f6293bb58c0 · outbound

This paper cites (59) for training and test data generation, and for the reduced model in Eq.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models (59) for training and test data generation, and for the reduced model in Eq

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Unavailable: canonical work link unavailable.

Observation 5bb8972c-7332-492e-b456-a73d2fb40c73 · outbound

This paper cites (60), we generate training data using eGFM forcings.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models (60), we generate training data using eGFM forcings

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation b476724a-1e65-4164-a7ae-ac4034debc22 · outbound

This paper cites For this flow, the velocity-based variables are linear combinations of the spectral-based variables; thus, the two reduced model families are equiv- alent.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models For this flow, the velocity-based variables are linear combinations of the spectral-based variables; thus, the two reduced model families are equiv- alent

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation dc39b57d-c29a-4a9d-8df5-28820c182df9 · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 87e28b97-4d1f-4a4e-bf70-4dead76888e7 · outbound

This paper cites (59) following Ref.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models (59) following Ref

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation b517b5f1-a6d6-4513-979b-6c1d1723af67 · outbound

This paper cites Reduced variables and GFM forcing construction.Following the discussion in Sec.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Reduced variables and GFM forcing construction.Following the discussion in Sec

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation a588bfb4-5679-457b-a9cf-ab7db93f6c54 · outbound

This paper cites (80) and (81), the eGFM training data are generated on a coarse grid withN x = 32,N y = 32, ∆t= 8×10 −3,T max = 8, and zero initial condition ¯c0 ≡0.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models (80) and (81), the eGFM training data are generated on a coarse grid withN x = 32,N y = 32, ∆t= 8×10 −3,T max = 8, and zero initial condition ¯c0 ≡0

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

Source-reported events for the cited work

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Observation c41545fa-45b3-4f37-9fdf-35aff823fc01 · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 976219b8-e679-492a-ae4a-58650278727d · outbound

This paper cites Reduced variables and GFM forcing construction.As in Sec.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Reduced variables and GFM forcing construction.As in Sec

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Unavailable: canonical work link unavailable.

Observation 29e48593-8e82-443d-ac82-9b02d25b181d · outbound

This paper cites Smagorinsky, General circulation experiments with the primitive equations: I.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Smagorinsky, General circulation experiments with the primitive equations: I

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 391bba03-c988-422c-8228-4902f82380df · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 5200b68a-9303-4503-8673-da1f70e03ed0 · outbound

This paper cites Scientific machine learning for closure models in multiscale problems: a review.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Scientific machine learning for closure models in multiscale problems: a review

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T11:26:54.542265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7dd65a9b-bc10-452f-ac73-c487537b6a4e · outbound

This paper cites Hamba, An analysis of nonlocal scalar transport in the convective boundary layer using the green’s function, Journal of Atmospheric Sciences52, 1084 (1995).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, An analysis of nonlocal scalar transport in the convective boundary layer using the green’s function, Journal of Atmospheric Sciences52, 1084 (1995)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation e3deb4a8-7a00-4491-9d6b-51210f4789b6 · outbound

This paper cites Hamba, Nonlocal expression for scalar flux in turbulent shear flow, Physics of Fluids16, 1493 (2004).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, Nonlocal expression for scalar flux in turbulent shear flow, Physics of Fluids16, 1493 (2004)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation fc3992b0-11be-4fe3-a856-8e178408d8a1 · outbound

This paper cites Hamba, Nonlocal analysis of the reynolds stress in turbulent shear flow, Physics of Fluids 17(2005).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, Nonlocal analysis of the reynolds stress in turbulent shear flow, Physics of Fluids 17(2005)

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 07848f90-6478-4619-892f-dcc7eee3281f · outbound

This paper cites Hamba, Analysis and modelling of non-local eddy diffusivity for turbulent scalar flux, Journal of Fluid Mechanics950, A38 (2022).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, Analysis and modelling of non-local eddy diffusivity for turbulent scalar flux, Journal of Fluid Mechanics950, A38 (2022)

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation cf2604d1-9880-4a11-9f7b-d5bb4d6a6654 · outbound

This paper cites Hamba, Analysis and modelling of non-local eddy diffusivity in turbulent channel flow, Journal of Fluid Mechanics1012, A21 (2025).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, Analysis and modelling of non-local eddy diffusivity in turbulent channel flow, Journal of Fluid Mechanics1012, A21 (2025)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Unavailable: canonical work link unavailable.

Observation 9ee1c0dc-c9b0-49f3-9337-72daee9aa4bd · outbound

This paper cites Hamba, Nonlocal eddy viscosity for reynolds stress and passive vector flux in turbulence, Physical Review Fluids10, 124601 (2025).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Hamba, Nonlocal eddy viscosity for reynolds stress and passive vector flux in turbulence, Physical Review Fluids10, 124601 (2025)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 142758ad-b0eb-4b3d-8469-e62ebe3c43d5 · outbound

This paper cites Mani and D.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Mani and D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 9f66c591-463a-416a-915e-56f5ea93cd84 · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 081457da-7a8d-4638-9a65-9f1c44f629c1 · outbound

This paper cites Park and A.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Park and A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 22ded93a-fbac-45b7-aa46-e3d2da98c1b6 · outbound

This paper cites Lavacot, J.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Lavacot, J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 5b7014da-78a4-4208-a406-f1d4b2388589 · outbound

This paper cites van der Oord, M.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models van der Oord, M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 1c70d803-086c-48ff-a7e1-94e6bf429821 · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 5e932fc8-bee4-432a-8473-7cbd63f92a44 · outbound

This paper cites Aris, On the dispersion of a solute in a fluid flowing through a tube, Proceedings of the Royal Society of London.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Aris, On the dispersion of a solute in a fluid flowing through a tube, Proceedings of the Royal Society of London

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 43bc1f00-2754-4a5e-b229-79157afeb5e8 · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 702b44bb-d5a0-46d7-90d9-eda98ad660b5 · outbound

This paper cites Gill and R.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Gill and R

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 43ebbdc0-fed1-44c1-b78c-e39262900a0a · outbound

This paper cites Barton, On the method of moments for solute dispersion, Journal of Fluid Mechanics126, 205 (1983).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Barton, On the method of moments for solute dispersion, Journal of Fluid Mechanics126, 205 (1983)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation f9c0e428-76be-4907-a33a-5e38d1f46a06 · outbound

This paper cites Frankel and H.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Frankel and H

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 05c7fb74-5533-4a9e-967d-910dd76b015e · outbound

This paper cites Moyal, Stochastic processes and statistical physics, Journal of the Royal Statistical Society.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Moyal, Stochastic processes and statistical physics, Journal of the Royal Statistical Society

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 8ab5f2b5-8e2e-42be-99d2-1c24ac643607 · outbound

This paper cites Virtanen, R.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Virtanen, R

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 5a3663f3-2fea-4cf2-9997-80ea178dd18d · outbound

This paper cites Frigo and S.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Frigo and S

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 1833ce83-2cc6-4405-9969-08f8ebbedef9 · outbound

This paper cites Canuto, M.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Canuto, M

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation af25370d-08d0-4d3b-8cef-e7d627ad373f · outbound

This paper cites an unresolved cited work.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 26319dca-c8cf-4636-9926-89f411c6aa8a · outbound

This paper cites Kubo, Stochastic liouville equations, Journal of Mathematical Physics4, 174 (1963).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Kubo, Stochastic liouville equations, Journal of Mathematical Physics4, 174 (1963)

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 0b2faa22-d3e1-4d2a-acdf-eb72b42e3e87 · outbound

This paper cites Mori, Transport, collective motion, and brownian motion, Progress of theoretical physics 33, 423 (1965).

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Mori, Transport, collective motion, and brownian motion, Progress of theoretical physics 33, 423 (1965)

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-28T03:49:50.921104Z

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Observation 296cc6ed-bdfb-4d77-b202-83e5beb33e01 · outbound

This paper cites Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models.

Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models Generalized Forcing Method: Generation of Diverse Data for Training Linear Transport PDE Closure Models

Reference 38

Resolution: verified exact; doi, observed 2026-06-28T03:51:35.199236Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

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