Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:08:29.314755Z
Paper Citation Record · LEDGER
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications
As of 8 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2505.22853.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
49 of 49 outbound references displayed
- verified exact1
- verified fuzzy8
- unresolved39
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1766cf1a-f812-42d3-81ce-0088664a60b5 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications 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 2026-08-07T06:34:17.273281+00:00.
Observation 2bd9e0ad-80fc-4eeb-8a46-1275b82aa423 · outbound
This paper cites I., & Khesin, B.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications I., & Khesin, B
Reference 2
- Resolution
- malformed identifier
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a56f02b6-daff-46cf-9974-88528b361049 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 3
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 71c8040e-45ca-4f3b-a140-bb6ef0e4917b · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 4
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 64736aa6-62fd-48e8-b8cc-3f2c1ee9b88c · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 5
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e72b00a7-60df-4b64-b730-dbc3966069b8 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 6
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dbd69ebe-b635-4a55-8288-b88ee102a8d2 · outbound
This paper cites Millennium Prize Problems.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Millennium Prize Problems
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 2026-08-07T06:34:17.273281+00:00.
Observation 44f274ea-57bc-4e94-be28-c45fc5bf44c2 · outbound
This paper cites Geometry and Fluids Workshop.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Geometry and Fluids Workshop
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 2026-08-07T06:34:17.273281+00:00.
Observation 8cfca500-e65d-4def-95eb-af3851103fea · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 9
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c9902adc-a429-4444-95c5-888fd6a8abe0 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 10
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c26d05d-35fe-4987-a7f6-fd3e98161e16 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 11
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8cc1dc77-68ff-46ac-a36c-d18fe7490119 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 12
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 633491b0-2d5e-46c4-8566-d272856b9a41 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 13
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e9f51cd1-08a7-42a2-8b69-8d5304953091 · outbound
This paper cites D., Holm, D.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications D., Holm, D
Reference 14
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45547a1e-1690-4fdd-bbc7-b1bd81649f9a · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 15
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 34685294-0777-430c-a801-d005911014a8 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 16
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 512a681a-7a83-410d-995a-f2740ffe054a · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 17
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f5933ebf-6407-4a28-9c7c-298956e0e577 · outbound
This paper cites L., & Berkooz, G.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications L., & Berkooz, G
Reference 18
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 84f32157-d514-42b6-8f07-b9f170c2808d · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 19
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ad8aaa4c-4e37-4432-9f60-5b529f05defb · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 20
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d285a9a8-1100-43a6-8949-f6c06053d7fb · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a658bf1b-047f-4267-ad37-15e66a38b273 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 22
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4fe6319c-5ca6-4fad-b55f-1af19e96c42c · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 23
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a8f902ee-0d5d-4a0a-bfdc-04913d7f7694 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 24
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5f10c385-22c5-41f5-b3f4-78de142b4b36 · outbound
This paper cites The Navier-Stokes problem in the 21st century.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications The Navier-Stokes problem in the 21st century
Reference 25
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 861583eb-da60-429d-9608-ef3296220629 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 26
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 93d72681-8282-4176-829b-e8d8f4dbad5f · outbound
This paper cites J., & Bertozzi, A.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications J., & Bertozzi, A
Reference 27
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5d5229fe-c96a-4dd4-a4af-4d3bf335cb5d · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 28
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a5521c0f-372a-4dc0-8644-f3444e36d926 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 29
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e5dff82-91fe-46e4-b1c3-2364ee4808f2 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 30
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9e698ec1-8758-4d2e-8d10-a659f63764e2 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 31
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4e8189f9-658c-4445-897e-ce98bf59fde7 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 32
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9f7b46b1-9e73-4c15-84e6-3dbdcc071f35 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 33
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a4e6bbc4-9fad-4dff-90b5-a05ab6cb6435 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 34
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e8ad94b2-8bc8-47d7-aeec-ac5d33eaf4ed · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications 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 2026-08-07T06:34:17.273281+00:00.
Observation 03e50dbd-4385-4985-898e-75bb1088ad29 · outbound
This paper cites J., & Henningson, D.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications J., & Henningson, D
Reference 36
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 254ca904-4b97-41d5-b7d3-c066c1124905 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 37
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1c9165f0-9d2b-4ba6-a302-6168e4683d0d · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 38
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5370316e-9c6a-4d65-b29e-acdaf4a69544 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 39
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7de8626c-c77d-4d50-a357-4ed900c3cd2d · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 40
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78ece879-6c2a-447d-9989-f1e9ed3dcfba · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 41
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 401b7374-ff4e-4e7d-beeb-629b11b349fb · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 42
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a8efc247-187d-446c-a9f5-16b0d5f6efd1 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 43
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c806552d-c71c-4d44-822f-3572335bb056 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 44
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 55a49a6f-bb53-4260-bde6-8d9ba89f6efc · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 45
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 010fe696-8161-4d0f-9d8b-b5d894a6550d · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:08:30.395479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f0bfd78b-bab8-4ef4-a751-af2b4c0f4ce3 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 47
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 26134203-b646-45fa-ac0c-039cad1bd1d3 · outbound
This paper cites an unresolved cited work.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications Unresolved cited work
Reference 48
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7f872704-82a2-4cb8-8747-5cac31a6bdb9 · outbound
This paper cites This construction shows that the intermittency exponent bound is sharp and cannot be improved without additional assumptions on the flow structure.
A unified quaternion-complex framework for Navier-Stokes equations: new insights and implications This construction shows that the intermittency exponent bound is sharp and cannot be improved without additional assumptions on the flow structure
Reference 49
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.