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Paper Citation Record · LEDGER

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.06005.

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

pith.paper-citation-record.v1
1908.06005 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:17:07.749953Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy17
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c70e281d-d7c0-44e8-9e47-edc4952b47f9 · outbound

This paper cites Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T13:17:07.588428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bbd51140-3272-4473-a967-6224f5c1b268 · outbound

This paper cites Buckmaster, C.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Buckmaster, C

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.284867Z

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.

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Observation 7137c7da-a411-47ba-93d4-eabe2ee98f52 · outbound

This paper cites Buckmaster, C.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Buckmaster, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.266647Z

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.

source=pdf_text observed=2026-08-14T13:17:07.600223Z digest=sha256:4b2df0b7a53bfed9e69067946fbb29fc81d533da3837ffca7234e9a3ae20a17b

Observation c414308a-99f7-484a-b955-42ef2c344cd5 · outbound

This paper cites Buckmaster, C.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Buckmaster, C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.249457Z

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.

source=pdf_text observed=2026-08-14T13:17:07.605703Z digest=sha256:7f41f8c9684737eb049f74e947029ce8f83e2aaf42d657c4ba0e1ee75f1a3809

Observation faec8477-3fba-46b3-88b4-bccfae42d877 · outbound

This paper cites Buckmaster & V.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Buckmaster & V

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.232872Z

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.

source=pdf_text observed=2026-08-14T13:17:07.611339Z digest=sha256:486022980ca838fef46dbcc53a6a81ca6968c57bf140bb55361aa98ef9a7cc80

Observation dacb6b14-8bfd-45f3-92b2-e85a2a9d7f95 · outbound

This paper cites Stationary and discontinuous weak solutions of the Navier-Stokes equations.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Stationary and discontinuous weak solutions of the Navier-Stokes equations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T13:17:07.616801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:17:07.616801Z digest=sha256:2d97835f3442a9c17e5ca097574ed910aef6b3cdf0d71fde27a2909d0f45b909

Observation 69ae826c-d693-4713-b135-e4b14dde67cc · outbound

This paper cites Dissipative continuous Euler flows in two and three dimensions.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Dissipative continuous Euler flows in two and three dimensions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T13:17:07.623064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:17:07.623064Z digest=sha256:6cc3a2bb174e30a16b0bf21ad3cf1a6d66f01f1f8668c005452135f189e5c972

Observation 3ce3918e-5cdb-4fb0-a005-cf7c9efd6bdf · outbound

This paper cites Colombo, C.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Colombo, C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.216702Z

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.

source=pdf_text observed=2026-08-14T13:17:07.630044Z digest=sha256:4d2b61ffbe99957ad59f75cd2feec91d1b700fa35d1914b4f93931bd9ebd4608

Observation 33defc4f-ca5c-4cea-ac45-d1180242c45a · outbound

This paper cites The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:17:07.848261Z

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.

source=pdf_text observed=2026-08-14T13:17:07.637092Z digest=sha256:5de9d69b43b46fad5097f8b91294e8c1bad46725e9721a9cf5a6f670a636c896

Observation dff564bd-b9a5-4ebd-a9e3-c186c27f12c3 · outbound

This paper cites Constantin, W.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Constantin, W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.200082Z

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.

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Observation 5329fba9-975c-4a65-aa66-850e6f056e2a · outbound

This paper cites Caffarelli, R.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Caffarelli, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.183833Z

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.

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Observation 1e709ed8-b644-4736-b2c7-ed7b058c771c · outbound

This paper cites De Lellis & L.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations De Lellis & L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.168384Z

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.

source=pdf_text observed=2026-08-14T13:17:07.659965Z digest=sha256:21522425a639b5801fafebb52161cede27caf645335f23326bca7ea1a630730f

Observation 1216e624-59e1-433a-890f-c1ddce206d51 · outbound

This paper cites De Lellis & L.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations De Lellis & L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.152608Z

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.

source=pdf_text observed=2026-08-14T13:17:07.665726Z digest=sha256:5cbeb9ef013569a32827e04e3f866d8ffeba386ba0d976c9d971d3a8e9e1f31b

Observation b1290469-b069-41f8-b3bb-dae42d64a441 · outbound

This paper cites Isett, H¨ older continuous Euler flows with compact support in time , Doctoral thesis, Princeton University, 2013.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Isett, H¨ older continuous Euler flows with compact support in time , Doctoral thesis, Princeton University, 2013

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.136604Z

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.

source=pdf_text observed=2026-08-14T13:17:07.672856Z digest=sha256:5a768cd22e8271c291d0fb1ffac8edeecd5f6421c6b137c2fc585e7c21d5f4df

Observation 71287199-6ff9-4de4-9607-cbdd87d52ffe · outbound

This paper cites Isett, A Proof of Onsager’s Conjecture , Ann.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Isett, A Proof of Onsager’s Conjecture , Ann

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.119846Z

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.

source=pdf_text observed=2026-08-14T13:17:07.677939Z digest=sha256:89fc59aaed02cdde344d53a427fe718005ee895d4592ba6d2bf0497d22f16439

Observation 2336061c-841c-4438-916e-eafe5dc9997b · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:08.102033Z

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.

source=pdf_text observed=2026-08-14T13:17:07.683807Z digest=sha256:8241d3981f47817bd62ecd4edeac10d2e9987a7a52b408c4cb1da3a6fbe44ea4

Observation 6666acfc-be2b-438d-98d4-857400647459 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:08.084664Z

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.

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Observation 93e7528b-d4de-4a61-bc0e-a09ddc192879 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:08.067523Z

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.

source=pdf_text observed=2026-08-14T13:17:07.697678Z digest=sha256:79d75b1c4e60bbf26ad40d8e070714a89e5bb67e1bb4b62edd4ea9cc3d16de26

Observation 886153ab-51b0-40d2-ad07-4bb9020f92c2 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:08.050444Z

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.

source=pdf_text observed=2026-08-14T13:17:07.702913Z digest=sha256:4a05c144ee6cc4d7e976bf52538a5f21bedb386b8a176eeee85deb264b68ebc4

Observation 821f548b-b2ae-4d65-bd94-9fb41b91723e · outbound

This paper cites Finite energy weak solution of 2d Boussinesq equation with diffusive temperature.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Finite energy weak solution of 2d Boussinesq equation with diffusive temperature

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:17:07.821971Z

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.

source=pdf_text observed=2026-08-14T13:17:07.708474Z digest=sha256:070ad33ab828aed52ef44edb89e7c236c94e60734462fd48eed4e78708ddc90b

Observation 7fe7e95c-8c45-49e2-bb5d-2ae8a5709ec6 · outbound

This paper cites Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T13:17:07.713811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:17:07.713811Z digest=sha256:b502c3a8afdf409aad2eb2e912ed3a7a024855b98ffef9a402cf1f69ca3e4068

Observation f7296a23-a257-4520-bf89-8dba26cff637 · outbound

This paper cites an unresolved cited work.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:17:08.032751Z

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.

source=pdf_text observed=2026-08-14T13:17:07.719418Z digest=sha256:c24bb2ef252534349e22591f28b81a1a7646c5d23f3b136dbab21ee24a513f34

Observation 2078fd4c-1878-4ae1-b60b-3021de8190d5 · outbound

This paper cites Modena & L.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Modena & L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:08.015422Z

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.

source=pdf_text observed=2026-08-14T13:17:07.725021Z digest=sha256:7a591572a0e7f1b67423b8ab0e57316bdeab1f5d99a773b45e0b5688fcfc66f6

Observation 0a9a592b-e5f6-4fff-9c7d-9d4112a10534 · outbound

This paper cites Olson, E.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Olson, E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:07.997435Z

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.

source=pdf_text observed=2026-08-14T13:17:07.731264Z digest=sha256:e5fa92bf1c4b1e02666d46105a83bf4cf3dab24ae1016c2769237a65fc714b0a

Observation 974f1878-e6ef-4c88-8d0b-5c91e5247889 · outbound

This paper cites Temam, Navier–Stokes equations.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Temam, Navier–Stokes equations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:07.980261Z

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.

source=pdf_text observed=2026-08-14T13:17:07.736158Z digest=sha256:53078d8c91b84268e377f98c79307041f4b7cebc3fa036841d8273dda19e7383

Observation 41d30cf6-5ec7-47dc-aaf9-c6fd21a0259b · outbound

This paper cites Wu, Generalized MHD equations , J.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Wu, Generalized MHD equations , J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:07.961675Z

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.

source=pdf_text observed=2026-08-14T13:17:07.740579Z digest=sha256:748ac51302908d87d5d2ca40315dbe48095ce5e4960b1fff050aa6cb09ad1aa1

Observation 7602c8ca-6273-4535-a7d7-d3e5b03804f4 · outbound

This paper cites Tao, Global regularity for a logarithmically supercritical hyp erdissipative Navier-Stokes equation, Anal.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Tao, Global regularity for a logarithmically supercritical hyp erdissipative Navier-Stokes equation, Anal

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:07.943939Z

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.

source=pdf_text observed=2026-08-14T13:17:07.745017Z digest=sha256:65f31451c0d9f432fc4b5c0c3809001041dbacfabf33d994ecc277c98ec76ce4

Observation 0f6cf7d7-65d2-4d6a-ad43-f4fe7aa6e40a · outbound

This paper cites Tang & Y.

Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations Tang & Y

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:17:07.925887Z

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.

source=pdf_text observed=2026-08-14T13:17:07.749953Z digest=sha256:5ce2630a4d0567cc56acb110599e3da78dfebcc9799d2dddb9beea9ba256fd04

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