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Paper Citation Record · LEDGER

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 6 inbound Pith citation observations for arXiv:2508.06333.

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

pith.paper-citation-record.v1
2508.06333 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:02:53.864175Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T12:55:32.053175Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T02:07:34.131630Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation afa83803-3b2b-4a8d-a578-021edd25a90b · outbound

This paper cites Bardos and E.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Bardos and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.323129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.798641Z digest=sha256:a4c45fd57456a3ba234e088b58b629e434eea2554a0a4a1fafd60dbde36c4579

Observation 6b5990f8-dac4-41a6-a5fe-b4c98cffdec8 · outbound

This paper cites Bardos and E.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Bardos and E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.309531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.803256Z digest=sha256:20f5ba14d2bfcde6147427b6b4c1ffec788bbc975d137f0eca2c2ae3bcd07685

Observation 8dc0f659-0d76-4461-87fa-27374aec6c0e · outbound

This paper cites Bourgain and D.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Bourgain and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.295709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.807297Z digest=sha256:8fcff34400a8c0e136ce12486572b894091baa5448a02880328b345c90148a59

Observation debde2d6-f911-4671-b280-4b154d4dbb65 · outbound

This paper cites Bourgain and D.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Bourgain and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.282019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.811653Z digest=sha256:e719feb35509c3da1226c3c11926529e97941e1b60b1710101c6e47b7e5bdb4d

Observation 81f80f63-86c7-4537-92bf-c6cc73eece2a · outbound

This paper cites Córdoba, L.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Córdoba, L

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-05T23:02:54.122903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.817056Z digest=sha256:7f11f3b68a2ddf3631f3deb8b125d0024295841149f4248574677d43ce2ea0c9

Observation c14d877d-caa0-41c8-a097-c18a89bb1ca4 · outbound

This paper cites J., 173 (2024), pp.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation J., 173 (2024), pp

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.268172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.821658Z digest=sha256:848a184f2558259385330e9244eed3333300499407c52249461a11d3e99a5270

Observation 44ebfbd9-b925-4d1b-90db-64c580746f90 · outbound

This paper cites Di Nezza, G.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Di Nezza, G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.254039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.826387Z digest=sha256:1f6e6fb7e902bf95214a3309020a709e738c4c7e75d5f95c135f7f836f8facfa

Observation 96c6ddbb-4a2a-4798-ac79-acaf94661f7a · outbound

This paper cites an unresolved cited work.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:02:54.240590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.830284Z digest=sha256:fc16ca636d7a671bc1fe5ec64c5bd315a18806cc373516ab73409209627437e6

Observation 8813db7c-b320-463a-8550-f55fd0b61f2c · outbound

This paper cites an unresolved cited work.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:02:54.226460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.834349Z digest=sha256:6314692510d61dc7de554a47d872b39c88cb67217fbf99a7558cc90b962d48e4

Observation cdbd7e14-0d49-4b02-8d32-609768e42e7c · outbound

This paper cites Jeong, Loss of regularity for the 2d euler equations, Journal of Mathematical Fluid Mechanics, 23 (2021), pp.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Jeong, Loss of regularity for the 2d euler equations, Journal of Mathematical Fluid Mechanics, 23 (2021), pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.213078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.838474Z digest=sha256:7cb54f00d99b535fbdeb3504217f0de11b505973ed95014511870a3f17835a7a

Observation a528c9dc-6711-4670-a0aa-2f9f145e718a · outbound

This paper cites Jeong and T.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Jeong and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.198419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.842774Z digest=sha256:08b8728888175846e9132a8066822dbc64d9d6491e2279e8be3969f2c9970e8e

Observation edfaae48-33b2-4e40-904b-676b064a8c24 · outbound

This paper cites an unresolved cited work.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:02:54.182224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.846826Z digest=sha256:0d83b12e19cb8c10bca922610dd62e9651a7d95a6c52245560e79e21769f5e2e

Observation ec33b4f1-75db-42dd-9c12-bf56dcde4138 · outbound

This paper cites Kato, Nonstationary flows of viscous and ideal fluids inR3, J.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Kato, Nonstationary flows of viscous and ideal fluids inR3, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.167919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.851627Z digest=sha256:38dc68e0f2de77281d7c94a3c70f185695a2d83cefb96ffcfa0cde219f6d8f1b

Observation fbc9cffe-751e-41e8-9c2a-98baefd68dd4 · outbound

This paper cites Kato and G.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Kato and G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.152703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.855774Z digest=sha256:5a323c42d6440d11019e0f24854ce63d27effdbbb08dd39fe5768c8176bc79fa

Observation 15c07704-e45f-4cda-b3a3-00b1501cdd8a · outbound

This paper cites Kim and I.-J.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Kim and I.-J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:02:54.137880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T23:02:53.859964Z digest=sha256:33a6174fe481383baa718100c8739444cdd9923a43cbbbb78d67a15c61ab5069

Observation 50f2da28-9535-46f6-9d0c-1b0eb188580b · outbound

This paper cites Illposedness of incompressible fluids in supercritical Sobolev spaces.

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation Illposedness of incompressible fluids in supercritical Sobolev spaces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-05T23:02:53.864175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:02:53.864175Z digest=sha256:764606b3cb1ce14ee2f154bb3a531e5edc77903bf269b23c0cb7696603d5ba28

Pith citing papers

Observation 1a47bdf0-dd6e-42d1-a673-16cff2c9cb47 · inbound

Low regularity Sobolev well-posedness for Vlasov--Poisson cites this paper.

Low regularity Sobolev well-posedness for Vlasov--Poisson Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T12:55:32.053175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T12:55:32.053175Z digest=sha256:1c5ec3c669a9ef3640139a108bdc9d1c2e720d305bef81e18cbb70f00c484b68

Observation cadfd057-da75-4f20-958b-ed53e5e42abc · inbound

Norm Inflation For The Critical SQG Equation cites this paper.

Norm Inflation For The Critical SQG Equation Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T17:45:51.383038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:45:51.383038Z digest=sha256:d2154dfe4358cbc7785bcc647c691c6d896b6d0d3ce7018886d399248b83b133

Observation 08ea4291-38b9-4244-9323-c572e1b97004 · inbound

On the blowup rate of vorticity for the Euler equations in a bounded domain cites this paper.

On the blowup rate of vorticity for the Euler equations in a bounded domain Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:36:04.551901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-09T21:33:07.816641Z digest=sha256:d1b6b43eaf3b02fa2bffc9ba02acee420a7e97f736bd63beb48f4ffda37b86dc

Observation 592bc0ea-ca88-4441-b008-78b52933b003 · inbound

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces cites this paper.

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-07-03T02:07:34.132991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T16:08:17.919699Z digest=sha256:79c28ba2cc255a63c1392a3da83f90369a2d01104264b4120137aef47a55d911

Observation c0ac0909-c3d2-403e-ac58-b376fc1f1814 · inbound

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces cites this paper.

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-07-01T08:15:32.206794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T08:06:14.031047Z digest=sha256:4582cd886762f95452e5bb61af2480f4f7a6d926cb29535eee39ab8b31cd4336

Observation 27135d55-fbc8-41a8-bf6a-b3b894430811 · inbound

Global well-posedness for the incompressible Euler equations in an endpoint Sobolev space cites this paper.

Global well-posedness for the incompressible Euler equations in an endpoint Sobolev space Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T19:08:41.463290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:08:41.463290Z digest=sha256:2d47d47f630ebd0b2af0fff68967d0eee1affcbb1ce5b54df21645f8a91edbf7