Paper Citation Record · LEDGER

Invariant parameterization of geostrophic eddies in the ocean

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:1908.06345.

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

pith.paper-citation-record.v1
1908.06345 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:57:27.993231Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:59:55.726038Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:59:55.991291Z

Reference resolution

39 of 39 outbound references displayed

verified exact5
verified fuzzy24
unresolved10
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ede02a9-5e4d-40ec-b128-4fa6e9042f61 · outbound

This paper cites Part I, J.

Invariant parameterization of geostrophic eddies in the ocean Part I, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.853307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 753a215a-a330-4264-bd4c-9749111b5ed5 · outbound

This paper cites Conservative parameterization schemes.

Invariant parameterization of geostrophic eddies in the ocean Conservative parameterization schemes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:57:28.219711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dbb42478-6662-4091-b690-ab900c40b2e9 · outbound

This paper cites Complete group classification of a class of nonlinear wave equations.

Invariant parameterization of geostrophic eddies in the ocean Complete group classification of a class of nonlinear wave equations

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:57:28.194201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9ed59980-23a9-468c-af1a-eb0ad5209a4c · outbound

This paper cites Invariant parameterization and turbulence modeling on the beta-plane.

Invariant parameterization of geostrophic eddies in the ocean Invariant parameterization and turbulence modeling on the beta-plane

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T12:57:27.808799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9996115a-e93c-4e30-913e-9c7298d9715b · outbound

This paper cites Lie symmetries and exact solutions of the barotropic vorticity equation.

Invariant parameterization of geostrophic eddies in the ocean Lie symmetries and exact solutions of the barotropic vorticity equation

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:57:28.151677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 675c7104-f8c1-4a86-b57b-1f0e08e1abb9 · outbound

This paper cites Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem.

Invariant parameterization of geostrophic eddies in the ocean Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:57:28.125306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e5881e10-b7a2-4350-a0cd-ecb4cf200cf5 · outbound

This paper cites Invariant discretization schemes for the shallow-water equations.

Invariant parameterization of geostrophic eddies in the ocean Invariant discretization schemes for the shallow-water equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T12:57:27.828359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcca5ac2-bd03-42a2-bfb9-473c6d9c19bc · outbound

This paper cites and Popovych R.O., Group classiﬁcation of linear evolution equations, J.

Invariant parameterization of geostrophic eddies in the ocean and Popovych R.O., Group classiﬁcation of linear evolution equations, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.836382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9e41300c-fdc4-41e8-86c6-77f9de845f87 · outbound

This paper cites and Valiquette F., Symmetry-preserving numerical schemes, in Symmetries and integrability of diﬀerence equations, Springer, pp.

Invariant parameterization of geostrophic eddies in the ocean and Valiquette F., Symmetry-preserving numerical schemes, in Symmetries and integrability of diﬀerence equations, Springer, pp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.818059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bbd2b349-3bc9-43e5-bd5c-31789914ade8 · outbound

This paper cites and Kumei S., Symmetries and diﬀerential equations , Springer, New York, 1989.

Invariant parameterization of geostrophic eddies in the ocean and Kumei S., Symmetries and diﬀerential equations , Springer, New York, 1989

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.801156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d0d33b0-5ce2-49e2-91cd-67cf9d85cd15 · outbound

This paper cites and Venaille A., Statistical mechanics of two-dimensional and geophysical ﬂows, Phys.

Invariant parameterization of geostrophic eddies in the ocean and Venaille A., Statistical mechanics of two-dimensional and geophysical ﬂows, Phys

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.783898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c9d914d6-0a27-4db5-8f7b-eb3141228f24 · outbound

This paper cites and Haidvogel D.B., Two-dimensional turbulence above topography, J.

Invariant parameterization of geostrophic eddies in the ocean and Haidvogel D.B., Two-dimensional turbulence above topography, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.767678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d14320a-5aeb-486f-b99c-ede23c929f8d · outbound

This paper cites and Pohjanpelto J., Algorithms for diﬀerential invariants of symmetry groups of diﬀer- ential equation, Found.

Invariant parameterization of geostrophic eddies in the ocean and Pohjanpelto J., Algorithms for diﬀerential invariants of symmetry groups of diﬀer- ential equation, Found

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.750535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 126f6c73-fec1-477a-b7f1-adb328a8e381 · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.732414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d17004dc-6494-4205-969b-abb736766e88 · outbound

This paper cites and Zanna L., The statistical nature of turbulent barotropic ocean jets, Ocean Model.

Invariant parameterization of geostrophic eddies in the ocean and Zanna L., The statistical nature of turbulent barotropic ocean jets, Ocean Model

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.713444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 72b4adb5-fb4e-4483-b77a-2f1528497221 · outbound

This paper cites and Greatbatch R.J., Evolution of mean-ﬂow Fofonoﬀ gyres in barotropic quasigeostrophic turbulence, J.

Invariant parameterization of geostrophic eddies in the ocean and Greatbatch R.J., Evolution of mean-ﬂow Fofonoﬀ gyres in barotropic quasigeostrophic turbulence, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.696455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8fef9485-bbd9-40f9-80ae-c12e1f20a32c · outbound

This paper cites and Greatbatch R.J., Towards a mesoscale eddy closure, Ocean Model.

Invariant parameterization of geostrophic eddies in the ocean and Greatbatch R.J., Towards a mesoscale eddy closure, Ocean Model

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.678245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fc5569aa-472d-4497-9cee-d75d419a26b9 · outbound

This paper cites and Olver P.J., Moving coframes: I.

Invariant parameterization of geostrophic eddies in the ocean and Olver P.J., Moving coframes: I

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.661278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2026409e-4917-46cb-aa26-ab2e080a8b7e · outbound

This paper cites and Olver P.J., Moving coframes.

Invariant parameterization of geostrophic eddies in the ocean and Olver P.J., Moving coframes

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.644836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7d0ace92-ea38-4cd4-8666-774719e2f405 · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.628606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 890f8b26-bd3b-4f69-9d40-7e41ebef68a1 · outbound

This paper cites and Menemenlis D., Can large eddy simulation techniques improve mesoscale rich ocean models?, in Ocean modeling in an eddying regime , Wiley Online Library, pp.

Invariant parameterization of geostrophic eddies in the ocean and Menemenlis D., Can large eddy simulation techniques improve mesoscale rich ocean models?, in Ocean modeling in an eddying regime , Wiley Online Library, pp

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.611355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f8f533b-a47d-4d50-991a-e3f495bd241b · outbound

This paper cites and Nadiga B.T., Four-gyre circulation in a barotropic model with double-gyre wind forcing, J.

Invariant parameterization of geostrophic eddies in the ocean and Nadiga B.T., Four-gyre circulation in a barotropic model with double-gyre wind forcing, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.594128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 473f59e1-d897-4215-99cc-e1bf7baae68b · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.576781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b29e4b63-9e4b-4bc7-88ce-8a5366bfaded · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.559188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d752b1fb-edea-46f5-92b2-b927286d5bfb · outbound

This paper cites D 98 (1996), 481–491.

Invariant parameterization of geostrophic eddies in the ocean D 98 (1996), 481–491

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.542498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 12873e46-8140-481f-a19c-1c78752b5722 · outbound

This paper cites and Adcroft A.J., Parameterization of ocean eddies: Potential vorticity mixing, energetics and Arnold’s ﬁrst stability theorem, Ocean Modell.

Invariant parameterization of geostrophic eddies in the ocean and Adcroft A.J., Parameterization of ocean eddies: Potential vorticity mixing, energetics and Arnold’s ﬁrst stability theorem, Ocean Modell

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.525931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fb9ea531-938d-49b1-b8d8-2a68a9645fd0 · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.508389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b5995667-7a10-408e-946d-081ab468dab5 · outbound

This paper cites and Pohjanpelto J., Moving frames for Lie pseudo-groups, Canadian J.

Invariant parameterization of geostrophic eddies in the ocean and Pohjanpelto J., Moving frames for Lie pseudo-groups, Canadian J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.490842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 72ec0173-4357-4afb-9eb0-6baeafb4c4b0 · outbound

This paper cites and Popovych R.O., Group analysis of general Burgers–Korteweg–de Vries equa- tions, J.

Invariant parameterization of geostrophic eddies in the ocean and Popovych R.O., Group analysis of general Burgers–Korteweg–de Vries equa- tions, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.473789Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 14d9bc0f-33d0-4252-8dd0-f68e39044466 · outbound

This paper cites Press, New York, 1982.

Invariant parameterization of geostrophic eddies in the ocean Press, New York, 1982

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.342522Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dce3c548-2f42-46cc-8057-62f156328006 · outbound

This paper cites an unresolved cited work.

Invariant parameterization of geostrophic eddies in the ocean Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:57:28.325951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e88237e7-e601-4895-9349-efd87a10c2c1 · outbound

This paper cites Symmetry preserving parameterization schemes.

Invariant parameterization of geostrophic eddies in the ocean Symmetry preserving parameterization schemes

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T12:57:27.955267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d28a477a-775e-489f-ba3b-6e89411dd8a8 · outbound

This paper cites Inverse problem on conservation laws.

Invariant parameterization of geostrophic eddies in the ocean Inverse problem on conservation laws

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:57:28.064116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e0fcf3de-3831-4387-a652-7cd8b3cb41a9 · outbound

This paper cites Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations.

Invariant parameterization of geostrophic eddies in the ocean Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T12:57:27.966365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25dc0c25-27cb-439a-9d0b-bee46e001e6a · outbound

This paper cites and Talley L.D., Generalizations of Arakawa’s Jacobian, J.

Invariant parameterization of geostrophic eddies in the ocean and Talley L.D., Generalizations of Arakawa’s Jacobian, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.307913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 81ee45cd-5464-41d2-9f32-6f995e25f719 · outbound

This paper cites The basic experiment, Mon.

Invariant parameterization of geostrophic eddies in the ocean The basic experiment, Mon

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.289957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9dbbe147-b128-4b27-8dde-aebdf52dc416 · outbound

This paper cites Fluid Mech.

Invariant parameterization of geostrophic eddies in the ocean Fluid Mech

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.272708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16ed3fc7-f122-43ec-8dd1-35b70d318840 · outbound

This paper cites 13 of Atmospheric Sciences Library, Kluwer Academic Publishers, Dortrecht, 1988.

Invariant parameterization of geostrophic eddies in the ocean 13 of Atmospheric Sciences Library, Kluwer Academic Publishers, Dortrecht, 1988

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.255117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7b23798f-a290-4af6-8604-e1a8183c2a66 · outbound

This paper cites and Vallis G.K., Emergence of Fofonoﬀ states in inviscid and viscous ocean circulation models, J.

Invariant parameterization of geostrophic eddies in the ocean and Vallis G.K., Emergence of Fofonoﬀ states in inviscid and viscous ocean circulation models, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:57:28.237687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation ea1acf20-7c91-4e5c-941b-d3d9f4a45e2d · inbound

Differential invariants for a class of diffusion equations cites this paper.

Differential invariants for a class of diffusion equations Invariant parameterization of geostrophic eddies in the ocean

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:59:55.995144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.