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Paper Citation Record · LEDGER

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame

As of 18 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2412.14578.

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

pith.paper-citation-record.v1
2412.14578 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:15:02.471666Z

measured 66 of 66 standing notices

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

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

Source: cited_works

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation a1aa25fa-7ec4-4abe-9f85-ba4830af48e9 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 1

Resolution
unresolved
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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 9243f28d-aea9-4558-8ab4-4df8d94eae12 · outbound

This paper cites Castro-Orgaz and W.H.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Castro-Orgaz and W.H

Reference 2

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verified fuzzy
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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 b86ef78e-aa1a-42e8-8573-ec35eb42dbe6 · outbound

This paper cites Paldor, Shallow Water Waves on the Rotating Earth, Springer Cham, New York (2015) 27.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paldor, Shallow Water Waves on the Rotating Earth, Springer Cham, New York (2015) 27

Reference 3

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verified fuzzy
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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 5030c441-61b3-4852-ac4e-5185b6b80725 · outbound

This paper cites Valery and P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Valery and P

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation f9b9f1a9-5605-4a88-be19-141d0e4eb6c8 · outbound

This paper cites Garc ´ ıa-Navarro, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Garc ´ ıa-Navarro, J

Reference 5

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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 da953cda-26b9-44b4-b39a-cd3b1cf8b09c · outbound

This paper cites Kurganov, Finite-volume schemes for shallow-water equations, Acta Numerica 27, 289 (2018).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kurganov, Finite-volume schemes for shallow-water equations, Acta Numerica 27, 289 (2018)

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation b2ca6d36-7161-40b2-997f-a2eebf34f26d · outbound

This paper cites Kinnmark, The Shallow Water Wave Equations: Formulation, Analysis and Application, Lecture Notes in Engineering, Springer Berlin, Heidelberg (1986).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kinnmark, The Shallow Water Wave Equations: Formulation, Analysis and Application, Lecture Notes in Engineering, Springer Berlin, Heidelberg (1986)

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 802d20cf-f477-4b27-92bf-55cb585ad2cc · outbound

This paper cites Taitel and D.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Taitel and D

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

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

source=pdf_text observed=2026-08-11T12:15:02.048776Z digest=sha256:29214550f0ee49bed51a1edde711b11e14e7ec7d9283aecb46a1fefabfbbd762

Observation d0418d18-9089-4c37-b7d0-5b2673aeb1e2 · outbound

This paper cites Hewitt, Two-Phase Flow and Its Applications: Past, Present, and Future, Heat Transfer Engineering, 4, 67 (1983).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hewitt, Two-Phase Flow and Its Applications: Past, Present, and Future, Heat Transfer Engineering, 4, 67 (1983)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.874799Z

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 19098997-0c47-4523-824f-61327c516909 · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.854399Z

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 d8f51930-872e-4502-aab9-85093b046f53 · outbound

This paper cites Zahn, The solar tachocline, A&A 265, 106 (1992).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Zahn, The solar tachocline, A&A 265, 106 (1992)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.829200Z

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 aa98dc54-8323-48b2-8df4-946310a38d0a · outbound

This paper cites Hyghes, R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hyghes, R

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 37918004-de8f-4135-ab4f-64ebdde3f911 · outbound

This paper cites Schecter, J.F Boyd and P.A.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Schecter, J.F Boyd and P.A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.789299Z

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 fc34f49e-72a9-4c2d-bc21-81a6a52ebd8e · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.761342Z

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=2026-08-11T12:15:02.098379Z digest=sha256:b743c09c71c2b1b855888bcc3f04493b249540aceb8253a46778f5bf28968b85

Observation 2c6e735b-fb33-49fb-9e2e-0a76d4ef9910 · outbound

This paper cites Hindle, P.J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hindle, P.J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.735925Z

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=2026-08-11T12:15:02.105163Z digest=sha256:3be948fbfe6f019ad032a46d7ac400d885a6564133d799fbefe40d49eed73ff1

Observation 28777b26-86b7-467c-add7-e82157428eb8 · outbound

This paper cites Alonso-Oran, Asymptotic Shallow Models Arising in Magnetohydrodynamics, Water Waves 3, 371 (2021) 28.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Alonso-Oran, Asymptotic Shallow Models Arising in Magnetohydrodynamics, Water Waves 3, 371 (2021) 28

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 35fb8d2b-6d28-435b-9179-5c186e2e9423 · outbound

This paper cites Petrosyan, D.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Petrosyan, D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.695655Z

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 4e757b1e-3103-43ad-a634-4c95e84015f2 · outbound

This paper cites Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations, Volume I: Symmetries, Exact Solutions, and Conservation Laws, CRS Press LLC, Florida (2000).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations, Volume I: Symmetries, Exact Solutions, and Conservation Laws, CRS Press LLC, Florida (2000)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.667686Z

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=2026-08-11T12:15:02.122925Z digest=sha256:c58a82b4b2d8abc4b6bcf30b597b532cbcf210a44580f08ff97c01a84038ab16

Observation 8cf0fe16-1763-477c-99fa-00c62104f61c · outbound

This paper cites Bluman and S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bluman and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.638737Z

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=2026-08-11T12:15:02.129116Z digest=sha256:f894aef55a537f7658f2e395f630882e0a3ebd3029c1dd8f160a7ae332f2c03f

Observation 0aecf801-6a98-4c45-838b-326449ac4753 · outbound

This paper cites Stephani, Differential Equations: Their Solutions Using Symmetry, Cambridge Univer- sity Press, New York, (1989).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Stephani, Differential Equations: Their Solutions Using Symmetry, Cambridge Univer- sity Press, New York, (1989)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.611784Z

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=2026-08-11T12:15:02.134873Z digest=sha256:a727521f3fc6df8ef3459e98c2754b3359ab055bfa7c7f857a499eda054923da

Observation aa6ee84c-ed9a-4127-843b-3f3c4c37630e · outbound

This paper cites Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, (1993).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, (1993)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.590701Z

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=2026-08-11T12:15:02.142121Z digest=sha256:e73599fd3f1cb64cc8b2e185c60e149c34ecf0cc888d7d44b38689cb166cc5ab

Observation 9a6c05ba-ddc7-41fb-b1d9-bf6be1458fe7 · outbound

This paper cites Gwaxa, S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Gwaxa, S

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.553344Z

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 506049cd-bdd3-4a02-b8cd-f8b3ecf12678 · outbound

This paper cites Moyo and P.G.L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Moyo and P.G.L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.525476Z

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=2026-08-11T12:15:02.154419Z digest=sha256:b66d713d154c5cb6e580c40fba5c9d1c36610633c9e0046c59b023de9d8f7415

Observation 02503edb-c764-4087-b405-43b68ccb2efd · outbound

This paper cites Christodoulakis, A.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Christodoulakis, A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.503186Z

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=2026-08-11T12:15:02.162196Z digest=sha256:cae673e98810fcc53267aa67bfdf0a15b9d88894ec9504b9bdd2e7b3dd81a030

Observation 367bce8e-5fe2-4fc5-9605-1ba213cf5c6d · outbound

This paper cites Christodoulakis, N.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Christodoulakis, N

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.482004Z

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=2026-08-11T12:15:02.169199Z digest=sha256:3f9e839b2d83e84c7145eef6e1bdc59934abfde46c88466b3ac45ccd27a9dc6d

Observation 0d50dbd3-b01b-41f0-9a29-e399aa20f6f8 · outbound

This paper cites Paliathanasis, Geometric Linearization for Constraint Hamiltonian Systems, Symmetry 16, 988 (2024).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Geometric Linearization for Constraint Hamiltonian Systems, Symmetry 16, 988 (2024)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.459843Z

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=2026-08-11T12:15:02.175440Z digest=sha256:fab558c5f6745a39118cf1cb64468cb89dbc7f452cfa2677c15f5f9ff6959d33

Observation eb81e7f6-ab5b-4f72-ae7d-188b9e286753 · outbound

This paper cites Aliy, J.S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Aliy, J.S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.433738Z

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=2026-08-11T12:15:02.181948Z digest=sha256:f82fbc87867f1b7c0ab0d0b80bb2c50248d5ec048b735a2b99f8e6c3f72f4096

Observation 135980d7-6c44-45f4-a68b-f1e729a85833 · outbound

This paper cites Chesnokov, Symmetries and exact solutions of the shallow water equations for a two-dimensional shear flow, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Chesnokov, Symmetries and exact solutions of the shallow water equations for a two-dimensional shear flow, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.410771Z

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=2026-08-11T12:15:02.187293Z digest=sha256:c854d5439e837d66ff7056b6e17944c934ce5b271f5678276e331cd62038c44c

Observation 07ebb8a9-0ca7-4056-85ce-fdcda9d050d0 · outbound

This paper cites Bira, T.R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bira, T.R

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.391281Z

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=2026-08-11T12:15:02.193995Z digest=sha256:80235b44edfc4a11c4145aebcd1fa2ca837e66e0aef2a04a31921c21b4d46b9c

Observation 4fbe09c5-4adf-4303-b52b-d438bbc1f7a1 · outbound

This paper cites Chesnokov, Symmetries and exact solutions of the rotating shallow-water equations, Eur.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Chesnokov, Symmetries and exact solutions of the rotating shallow-water equations, Eur

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.370408Z

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=2026-08-11T12:15:02.201773Z digest=sha256:52e8cdcafc164ebda6ffe1aa09336eb45592bae58bbf5264fc67c057d79705cd

Observation 09463c29-3437-467d-88d8-9c61feebabee · outbound

This paper cites Aksenov and K.P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Aksenov and K.P

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.348109Z

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=2026-08-11T12:15:02.208488Z digest=sha256:4baf16f245cb6d0754e45864d317f18f394d6610a7ef3fc8c247e9e7d7ca9caf

Observation cc81f488-5f33-4e45-b535-96f66deb06be · outbound

This paper cites Paliathanasis, One-dimensional optimal system for 2D Rotating Ideal Gas, Symmetry 11, 1115 (2019).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, One-dimensional optimal system for 2D Rotating Ideal Gas, Symmetry 11, 1115 (2019)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.321822Z

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=2026-08-11T12:15:02.216199Z digest=sha256:a3390586a38fcb3870aa3d1109861d4f1a2290cc548aaf838778f0e0bfc087d0

Observation e419d8b0-9689-4af4-8368-d34a208a33ad · outbound

This paper cites Paliathanasis, Similarity transformations for modified shallow water equations with density dependence on the average temperature, Int.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Similarity transformations for modified shallow water equations with density dependence on the average temperature, Int

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.299866Z

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=2026-08-11T12:15:02.222469Z digest=sha256:fc9ba35b0d79a2f42645738dec840c32e7830c88da1502f68c00cae957f9b50c

Observation 09f61242-61c9-4087-b41f-70b14c40c036 · outbound

This paper cites Pavlenko, Symmetries and solutions to equations of two-dimensional motions of poly- tropic gas, Sib.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Pavlenko, Symmetries and solutions to equations of two-dimensional motions of poly- tropic gas, Sib

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.272461Z

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=2026-08-11T12:15:02.228914Z digest=sha256:b9f9b54e5526d463b89b1582cd5ce5d788c51555ea0692aed4499d10a83392e5

Observation 4cbdbfca-3ae3-4563-98fe-a1dca3746a47 · outbound

This paper cites Huo and L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Huo and L

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.250177Z

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=2026-08-11T12:15:02.234702Z digest=sha256:62b34ac268d3474699ac09130611c6ee867ef2ea3fd13e2ad71fb01537f1e4e0

Observation 4376fae4-cb90-4917-aab4-7ab36410175f · outbound

This paper cites Dorodnitsyn, E.I.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dorodnitsyn, E.I

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.230088Z

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=2026-08-11T12:15:02.241279Z digest=sha256:7b8dd1c2109a360ef6445b0a23c3351a7119edcb9e51958df1225350ae481893

Observation 75567862-4b2b-4f34-9b27-38be1cb26949 · outbound

This paper cites Webb and G.P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Webb and G.P

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.208793Z

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=2026-08-11T12:15:02.249574Z digest=sha256:676849622da15ddeb8913d971c5be8dd68eb8fa5a5741c49fbb50fb967df8672

Observation 2a9df1ae-905c-48a9-82ad-5b7f64be9aad · outbound

This paper cites Bogoyavlenskij, Restricted Lie point symmetries and reductions for ideal magnetohy- drodynamics equilibria, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bogoyavlenskij, Restricted Lie point symmetries and reductions for ideal magnetohy- drodynamics equilibria, J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.186092Z

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=2026-08-11T12:15:02.259055Z digest=sha256:939732d9356deafc90c90bdd0fa809e60936711db863f4c81faa71747ce9860e

Observation b6b9ec18-8dee-443c-9db3-5214a955d519 · outbound

This paper cites Liu and H.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Liu and H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.161335Z

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=2026-08-11T12:15:02.272489Z digest=sha256:5f25924c5ad1e16e0c63ad4318b2ea34e63b1cfd8001314af82f2b40a9780610

Observation 032620c8-9e9f-4a2b-bdd8-8eecede4f9a9 · outbound

This paper cites Paliathanasis, Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation, Eur.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation, Eur

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.137445Z

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=2026-08-11T12:15:02.279127Z digest=sha256:d64011386321207d0b7c240c82d2fbee0d019aa4f50df402e8df3d60e11ee74b

Observation 1d94ca3b-8a04-47cd-bbca-ddc9a3c8e20a · outbound

This paper cites Webb and R.L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Webb and R.L

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.114554Z

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=2026-08-11T12:15:02.285926Z digest=sha256:364174ebcc477e40cc60b5cb610e5ceb52ccaa360860a2675f6bf222483b8d32

Observation a27863c5-0b86-4e16-b3ed-b66f6eabf0f2 · outbound

This paper cites Meleshko, E.I.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Meleshko, E.I

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.093165Z

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=2026-08-11T12:15:02.292266Z digest=sha256:27f27c614bb3898a9e112a95096de98f402b0c9bbfd9de569a6137b6958daa49

Observation ef6787a9-238f-4db3-af80-e5307a9e2c38 · outbound

This paper cites Kaptsov, S.V.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kaptsov, S.V

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.066517Z

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=2026-08-11T12:15:02.298600Z digest=sha256:1a0ffaee2b2f5efac36b02d2f341bc1fe9939a9b150f1b7e1248e19df7e1e89d

Observation 29e885f4-d3b4-492c-bf64-22beefa7ae9f · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.042101Z

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=2026-08-11T12:15:02.304954Z digest=sha256:d22181e63eacda41fba0f7f91d63508a5d7643e293f45d07edf502f4f34084e1

Observation 30987c1d-669c-405e-a8be-e0a46ec61c6c · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.019501Z

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=2026-08-11T12:15:02.312301Z digest=sha256:4dd6ffaa301a6c7afd52732e00ee3620e71a4f5189261cfebd298839a87e3f15

Observation 2b3fe89f-d611-4d2a-ba8b-a6e82091d903 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:15:02.999398Z

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=2026-08-11T12:15:02.319403Z digest=sha256:efbdf54e89775ee28279b21363291270768dfa0a8a26fc7aa052c29a6ab88bca

Observation 6ca9a631-4504-4ea3-a37f-d6c5d1abac24 · outbound

This paper cites Mak, S.D Griffiths and D.W.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mak, S.D Griffiths and D.W

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.976879Z

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=2026-08-11T12:15:02.326185Z digest=sha256:f0db0c5d79db824de5bd42fed49b0d0758ed1b1e16ee70a753a5f53cf202aeee

Observation 55e9a25d-93af-403e-83dd-58f6e9da3267 · outbound

This paper cites Dellar, Lattice Kinetic Schemes for Magnetohydrodynamics, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Lattice Kinetic Schemes for Magnetohydrodynamics, J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.953782Z

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=2026-08-11T12:15:02.332898Z digest=sha256:125ce266bd72a267c1fd72a75614801605adb5efa52ebc8703c53a50226ad00f

Observation 730682ac-6e81-4149-a6a7-b76fd0389cb5 · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.932745Z

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=2026-08-11T12:15:02.343125Z digest=sha256:9368d90121330fc35771835cb40771d33c5b676797be4dadc7e2df585a9c1cd5

Observation e0f90e9f-9c7b-43e0-b11f-823a2c7ccc7a · outbound

This paper cites Dellar, Dispersive shallow water magnetohydrodynamics, Physics of Plasmas 10, 581 (2003).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Dispersive shallow water magnetohydrodynamics, Physics of Plasmas 10, 581 (2003)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.912894Z

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=2026-08-11T12:15:02.350903Z digest=sha256:b2c5e542b9ea87fb363736ca8bcd9a3b6da13c744d8c22e72decab0384a5d486

Observation cae1f415-75ee-432d-8844-9f3c9a974028 · outbound

This paper cites Powell, An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), NASA CR-194902 and ICASE Report No.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Powell, An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), NASA CR-194902 and ICASE Report No

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.891750Z

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=2026-08-11T12:15:02.361912Z digest=sha256:0b4374b0a79cb63a97941389ab57c37bcdf29bd667dfe4266442979be9c2488b

Observation 110cf3b3-1818-463e-9936-50c34621e92a · outbound

This paper cites Janhunen, A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Janhunen, A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.867837Z

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=2026-08-11T12:15:02.369772Z digest=sha256:77b543721744d8aeb8018deb24f7a3e8d563204d6422e36a4405792618429e6a

Observation b9c40275-d7f0-4d71-b9dd-afa97a2b9d90 · outbound

This paper cites Sokolov, K.G.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Sokolov, K.G

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.842555Z

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=2026-08-11T12:15:02.378510Z digest=sha256:30fdb13f16aa6cbbec430f4d4eb91423f9f8cf762ba97226ca434d270967470d

Observation 2b28b84c-34dd-4e44-a2fb-05603e95a1d1 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:15:02.819984Z

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=2026-08-11T12:15:02.385849Z digest=sha256:9f8aca04bca72d0521ad6da4aa8e41143d10c53bca9ca9d5768f066d2b23d578

Observation c779924c-d36d-4699-837c-d37ca6454b0c · outbound

This paper cites Dellar, Hamiltonian and symmetric hyperbolic structures of shallow water magneto- hydrodynamics, Physics of Plasmas 9, 1130 (2002).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Hamiltonian and symmetric hyperbolic structures of shallow water magneto- hydrodynamics, Physics of Plasmas 9, 1130 (2002)

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.789396Z

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=2026-08-11T12:15:02.393180Z digest=sha256:e9004c734f53058690c94341e8f4d7438d7d2ea2931966a1576c38fcc9366103

Observation 36561317-d61d-45ac-9e8d-892fefa3d469 · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.765646Z

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=2026-08-11T12:15:02.400616Z digest=sha256:8d37f7f577ea17f22de3e14f4905e5577b6b88ca94d55a40d49ab398c8ff4188

Observation dbd0b962-f04b-4fac-a52c-60ade971e19d · outbound

This paper cites Morozov, Classification of six-dimensional nilpotent Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 5, 161 (1958).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Morozov, Classification of six-dimensional nilpotent Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 5, 161 (1958)

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.740110Z

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=2026-08-11T12:15:02.407540Z digest=sha256:f728143b54d728f090f0771a24f3c7b9497a88a590fa6a3dfdec9a5a90d828b7

Observation e1893013-0193-44b2-a14c-8011aa52e2e7 · outbound

This paper cites Mubarakzyanov, On solvable Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 32, 114 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, On solvable Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 32, 114 (1963)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.714548Z

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=2026-08-11T12:15:02.413055Z digest=sha256:4f607c52d8f30e09f9b37807d3e6a5f9bff94d013f7d4cb5345612f5e2f0de10

Observation 458d693b-3f38-41c1-8088-17af0b5e563a · outbound

This paper cites Mubarakzyanov, Classification of real structures of five-dimensional Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 34, 99 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, Classification of real structures of five-dimensional Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 34, 99 (1963)

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.692354Z

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=2026-08-11T12:15:02.418797Z digest=sha256:bc3f3b8a5238228d32b460c8b7109f332d2f3dcadc9323501c7790db3cab8631

Observation b805469d-ab2c-41c1-8888-ec7d48266b92 · outbound

This paper cites Mubarakzyanov, Classification of solvable six-dimensional Lie algebras with one nilpotent base element, Izvestia Vysshikh Uchebn Zavendenii Matematika 35, 104 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, Classification of solvable six-dimensional Lie algebras with one nilpotent base element, Izvestia Vysshikh Uchebn Zavendenii Matematika 35, 104 (1963)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.670412Z

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=2026-08-11T12:15:02.425849Z digest=sha256:907261a598790d6e95b389e0346a507fa47c51077c7eda4343a72cacd32a7498

Observation 22e16dd2-8978-476f-8402-6f2ba726a96d · outbound

This paper cites Patera, R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Patera, R

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.648235Z

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=2026-08-11T12:15:02.433551Z digest=sha256:ef4d1748d3354d727db01befe69c613bf1e1221193baa730c1f7c5aefd6b3bf7

Observation 967dd328-ad11-4c5e-8890-101a94150e06 · outbound

This paper cites Noether, Invariante Variationsprobleme, Nach.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Noether, Invariante Variationsprobleme, Nach

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.622867Z

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=2026-08-11T12:15:02.440479Z digest=sha256:2b9e821df5cbfd313d390e96aef1e405fa4c8d8f8d15e6f032fb9c6be5aca3ba

Observation 028f1616-3288-46c8-b7fe-dbc301814b6c · outbound

This paper cites Ibragimov, A new conservation theorem, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Ibragimov, A new conservation theorem, J

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.600591Z

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=2026-08-11T12:15:02.446889Z digest=sha256:8a50f6283c49ed90bb10a1936f76d4fe27c5f16d37f8ecfd7e48aea04ce0ef23

Observation 2e8caf6e-50a7-4d41-a41a-f1dd57a9cfc0 · outbound

This paper cites Gandarias, Weak self-adjoint differential equations, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Gandarias, Weak self-adjoint differential equations, J

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.578899Z

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=2026-08-11T12:15:02.454017Z digest=sha256:c5b3fe9c9df891899f719cbb2c27b6215bb22bde16fba48fce589c00f82ac3d6

Observation 11d272ec-6e78-414d-a629-3584e4a5cfc8 · outbound

This paper cites Yi, Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian Sys- tem with Unilateral Constraints, Commun.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Yi, Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian Sys- tem with Unilateral Constraints, Commun

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.552647Z

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=2026-08-11T12:15:02.465075Z digest=sha256:dd93b7b92c7f408615676d195ef55062566141d7c8207485c56a511b3033f5e3

Observation bbd7569a-be38-4b2d-9d60-4651652f4e3a · outbound

This paper cites Anco, On the incompleteness of Ibragimov’s conservation law theorem and its equiv- alence to a standard formula using symmetries and adjoint-symmetries,Symmetry 9, 33 (201) 32.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Anco, On the incompleteness of Ibragimov’s conservation law theorem and its equiv- alence to a standard formula using symmetries and adjoint-symmetries,Symmetry 9, 33 (201) 32

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.528318Z

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=2026-08-11T12:15:02.471666Z digest=sha256:2dd1a5093776c913abb61b67e17cdc41d88950050da3135b7f4f59bc65fad454

Pith citing papers

No inbound Pith citation observations are available.