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Paper Citation Record · LEDGER

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2504.16401.

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

pith.paper-citation-record.v1
2504.16401 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:10:41.647434Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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  • verified fuzzy21
  • unresolved21
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d838e3ff-12db-41db-9572-21608895bb0b · outbound

This paper cites Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fca02b2e-447e-4165-8c9f-18244410f918 · outbound

This paper cites and Dolce M.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Dolce M

Reference 2

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 94f497b4-b2f6-4655-aa2a-ba4d4b3c8f1f · outbound

This paper cites and Masmoudi N.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Masmoudi N

Reference 3

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 66ff3c14-20be-409e-b97f-2a5fbd86be11 · outbound

This paper cites and Masmoudi N.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Masmoudi N

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 06d40aac-1c82-4906-8194-9ecd983bd2b9 · outbound

This paper cites and Vicol, V.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Vicol, V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:42.286410Z

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 7948953b-ec20-45b0-a8d4-c10c9e747c8c · outbound

This paper cites and Wang F.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Wang F

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 07e06d1f-659b-441b-94ae-73b9d8806f4f · outbound

This paper cites Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces

Reference 7

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no resolver link, observed 2026-08-16T11:10:41.458377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.458377Z digest=sha256:cfb9d55edb93b788619a057907b139bcd0a8a7b78941316742f645f8a756d5b1

Observation 10a2ee77-29c6-4e2c-abc2-e4b55f790289 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.258399Z

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 7efe1c32-c830-4948-9679-2efb0daaf145 · outbound

This paper cites Nonlinear stability for 3-D plane Poiseuille flow in a finite channel.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Nonlinear stability for 3-D plane Poiseuille flow in a finite channel

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.472041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.472041Z digest=sha256:0cbbb1dee026922cb9ccab54e6363bfc21f3db29949f8865720b531964178f76

Observation afd4ea44-a20f-40a5-b800-733aabac15ca · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:42.242724Z

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 95f76397-5a7f-43ae-9fba-8550384fba37 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 11

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 f5dfcfad-57c3-47aa-a3a8-da747d35a7e1 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.211819Z

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 7ad45fc9-b175-4a83-9cec-1c24308bfdf2 · outbound

This paper cites and Del Zotto A.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Del Zotto A

Reference 13

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 50bdc806-2cd4-4d04-93b2-a5cda89bf9a9 · outbound

This paper cites Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing

Reference 14

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source=pdf_text observed=2026-08-16T11:10:41.504652Z digest=sha256:ed20b02bd4bd1d4c082c199196cdaf785790afa58d9c188726a652d773085eeb

Observation 58d34b50-5d80-4e49-a7ac-0dc110bf2347 · outbound

This paper cites On the stability of viscous three-dimensional rotating Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces On the stability of viscous three-dimensional rotating Couette flow

Reference 15

Resolution
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no resolver link, observed 2026-08-16T11:10:41.511706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 21fa1c68-da00-4a8b-bbb7-08ba88df2b92 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.181754Z

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 06360581-5aed-420f-b092-442a3b94d85b · outbound

This paper cites Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Reference 17

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no resolver link, observed 2026-08-16T11:10:41.523352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.523352Z digest=sha256:869e24f74b6b4134bb122ad5b10844d38957af62872bf81bc9689249dc3fa318

Observation c3472234-4212-46e6-998c-51304e8b446a · outbound

This paper cites and Zhang P.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang P

Reference 18

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 8dec6c0f-06be-45a3-aac9-feb29c341d78 · outbound

This paper cites and Lin Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Lin Z

Reference 19

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 54e4457f-8e0c-4628-8074-8e4abeca84be · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.136906Z

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 63734ee5-a076-4708-a1d8-68db59256f16 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 21

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 bdb30766-961c-4e57-9d0f-b37d6fdbb74b · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.106608Z

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 7aaf05fd-eae1-4684-92f5-9ba669491c69 · outbound

This paper cites On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.551491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bd6b73e3-b4c2-4538-8a97-9956f69e5fe0 · outbound

This paper cites Stability of the Couette flow for 3D Navier-Stokes equations with rotation.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Stability of the Couette flow for 3D Navier-Stokes equations with rotation

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.556157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.556157Z digest=sha256:57d12a914f9cd955348019b98f06a34f76d10e274cd2e2ba893982d88dc96489

Observation c162c265-9be4-4d16-83d1-3f288d4dbb14 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:42.090390Z

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 4a044a45-20d1-4a98-a337-c8c7e8ffa106 · outbound

This paper cites and Zhang Z.(2020).

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z.(2020)

Reference 26

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 5321cbf5-a1ea-4f58-a708-180426c851b5 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.059363Z

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 eab278bb-6acf-410a-a5e4-5948cfdfa0b5 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:42.044152Z

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 04f8322e-49b7-4ad3-8dcf-cd9e26da3ea9 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:42.028342Z

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=2026-08-16T11:10:41.582364Z digest=sha256:e90e12014aa878cf9914fb933c9bf41e04ffcdc213d30940bcaf0ad1987f07d7

Observation 60abdf50-1105-421a-94f6-ab6574780dab · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:42.013003Z

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=2026-08-16T11:10:41.587014Z digest=sha256:e1358f38620dc8e79361601c2ffb1c37928859ec5bd50b8ac7cff6f430610105

Observation 78f2c8e3-5152-45b2-8841-3c6b9265fea3 · outbound

This paper cites Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.591652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.591652Z digest=sha256:96dcc89473de0bb361b3f713cec9a2a20c41c79a9dbb68deeb156d5fff6420b5

Observation 979fc4f1-8402-4634-b053-910c3b8a5318 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:41.997866Z

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=2026-08-16T11:10:41.596470Z digest=sha256:40c0eb0d3e1f4d216dd1609c4ea7757a8cbef7851bb6a42ed3c884cf8ec333b2

Observation ef41006e-3bca-4109-9e2d-f46a98ab2a94 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.982022Z

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=2026-08-16T11:10:41.600989Z digest=sha256:133f558514ab12d50922fc7a997a788dde65ba480fb006968edf1e9179a8b184

Observation e385176f-16c7-4cdb-95fc-fb024878c08e · outbound

This paper cites Enhanced dissipation and stability of Poiseuille flow for two-dimensional Boussinesq system.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Enhanced dissipation and stability of Poiseuille flow for two-dimensional Boussinesq system

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-16T11:10:41.606439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:10:41.606439Z digest=sha256:02867ef59aab7829c58e1be33eab14774a1ea58cc858d42bf65b184927b6c264

Observation 5ccd6748-2fd4-45a1-854c-a874b24d4d55 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.966270Z

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=2026-08-16T11:10:41.611609Z digest=sha256:1d598665b30b0e3c035c41af0a1427f9a89e94ba65f6202aad1284e6d749820b

Observation d218618d-d695-455c-92e3-ecac23580e43 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.951393Z

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=2026-08-16T11:10:41.616588Z digest=sha256:b2d678b7f3e489d238729b4e037886ac9a8ab54791b377d5c5c241d9b742d759

Observation 1d3b6310-e6fb-4734-9315-b9a6e88d2010 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.936192Z

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=2026-08-16T11:10:41.621532Z digest=sha256:37d1cd67ffba540f349f8934dfd374b2b12704371b824c9f3c35edb78030141d

Observation 5f9c842b-7199-4527-bfbb-ecae9bd5f1c6 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.920241Z

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=2026-08-16T11:10:41.627398Z digest=sha256:3f6911e8e1db5cad3a6ccbc9fdec13eea9f35f10a421f54b0b90664c6a2300f2

Observation e04944b1-ba2d-4be7-b11c-cb2a55ef0973 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.905482Z

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=2026-08-16T11:10:41.632792Z digest=sha256:fa734a4d802ab66bd88335b79a31f1c93b73fd705005d1ec60c5bb568b72acc1

Observation 859ef000-cb2f-45e6-977a-ec562c761df6 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:41.890404Z

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=2026-08-16T11:10:41.637705Z digest=sha256:d1413ee1ac866062c911c7b4d90298d87f5661ba0abc3146ac7c67999625e918

Observation 9c9da5a9-2dab-40bb-bfdf-3fe0a905d579 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:10:41.873627Z

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=2026-08-16T11:10:41.642834Z digest=sha256:5cbf1bdc9015ecbb660246d962695a9523bc45ada5e232a2de6ebc44f9908670

Observation b1d45de8-fff7-4a01-815a-c1c7083be562 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:10:41.857356Z

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=2026-08-16T11:10:41.647434Z digest=sha256:ff73ce64239502b141c326205cde5b6cc89ac27d3ea52c44df0deb63fb9de5ab

Pith citing papers

No inbound Pith citation observations are available.