Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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.

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.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.