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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.798641Z digest=sha256:3501d04efba8fab6811e5446f43101c67c02c29365f373376e444f0dbaef5d5d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.803256Z digest=sha256:062f201124b60a062a653e437da5465874859c373bffe2d6430641212db271c3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.807297Z digest=sha256:45fa89b2fb0a14f30c254d8578420b4eabab64f68282f13d8049e895b53e2c73

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.811653Z digest=sha256:86190a63b53aec80e8dbb0d9fcf417cfa12e28d1e073e3b74896747117f461c5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.817056Z digest=sha256:b8653f7822b7f546cbbc8c4c8d95004e3c75ada987ae27a8f253dfd8a07d57ec

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.821658Z digest=sha256:31e045e89bb7ba5e921e7a45d633f682e98b6e0e0f6e1f2c195ac0d31a911792

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.826387Z digest=sha256:6eb10e139458cddcdd82b18b9b62fa5206871f7593fe7a3857dd492b40a72512

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.830284Z digest=sha256:68b27c25991c28b55e1100d2436913986f6a71995da647bed1e89566211666e6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.834349Z digest=sha256:735a6667f58adea15f6dc3c75c58a9048b51206281127223ff8624f400c2b70f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.838474Z digest=sha256:69a7f1237088b309b369ed40b314ea7bb9bcb42e019a0d8093fd6e8d1771a7f2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.842774Z digest=sha256:09d83c15f5c5a6d9f9cd0a72489a85b6461c0ea7dc4c2335b9787addcf43d9ab

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.846826Z digest=sha256:0117893c88703f558f9c0f39196196dba4b8467bfce4a85f4827d6c9b98f1ffe

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.851627Z digest=sha256:22b8132471700a45cf8a86a5d437f90336bc0289c022da3c7eb4f90d2eddf1c9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.855774Z digest=sha256:60f4b216263d8cd159d9671bea564622c964eb64d2756ad4bda0f6941b33dfa9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T23:02:53.859964Z digest=sha256:fd9e3b9ced1b0947f99e5330792935d7f8f498eec5cdf92e926a233a4754e76b

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:ab5800350a0ca09e6d6143052281e11695136eda7866a87725cd301e627d593f

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:af33e2ed4b93f5d46f3b89cfae7df492255ad148130bfa09940d754db7d3ebe5

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=sha256:3a53b895132f6f8fe4d35aaef3117e9572056950b8a385c31d6d73b63c36251c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-09T21:33:07.816641Z digest=sha256:b27b69c83003186422fe7c5fbe7ec66dff31232dfc29e497c37e9f3f2e99ad92

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-27T16:08:17.919699Z digest=sha256:802116de71afb2b1ce95d94835fae33dbff7a7f637fd44d06cb8fd1152043579

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-01T08:06:14.031047Z digest=sha256:93c39a5ad8479a24fb6db74009a0e80b4ef9c89f2bdbc14f7bb8530ef1bc06e8

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