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Paper Citation Record · LEDGER

The Euler equations with variable coefficients

As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2509.01067.

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

pith.paper-citation-record.v1
2509.01067 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:09:49.798913Z

measured 27 of 27 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

27 of 27 outbound references displayed

  • verified exact4
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67d7c2f1-2b15-470b-afde-36d096aefa07 · outbound

This paper cites Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data.

The Euler equations with variable coefficients Almost global existence for the stochastic Navier-Stokes equations with small $H^{1/2}$ data

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:09:50.133874Z

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=arxiv_source observed=2026-08-05T13:09:48.641128Z digest=sha256:3ed1620f42a5065fb9a94847bbe82a92269a4c3750c0a12f359f6b535206532e

Observation 7bcf4644-62e3-4db6-8f58-5e07436acd4f · outbound

This paper cites Ayd n, I.

The Euler equations with variable coefficients Ayd n, I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.946974Z

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=arxiv_source observed=2026-08-05T13:09:48.744989Z digest=sha256:1dc1ea7520d7402adf6980b1893233ca0c3ed26fd74da517858dd60e2886fd40

Observation 705c6f6f-2316-4e4c-a102-db3beac5ff31 · outbound

This paper cites Bourguignon and H.

The Euler equations with variable coefficients Bourguignon and H

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T13:09:48.830547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:09:48.830547Z digest=sha256:81b984c1c298338340ca4a3c7382c1ab4673cfd9aea9eec531f8508f127e9c93

Observation fb996e14-4823-4542-8495-29b7724bc8ca · outbound

This paper cites Beale, T.

The Euler equations with variable coefficients Beale, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.864861Z

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=arxiv_source observed=2026-08-05T13:09:48.982508Z digest=sha256:ddbe0cea926ef5c412ed5e163996297e9a2851f9c79a805a22a7bacac99ee0a8

Observation 3ea0d724-5185-4403-a2d2-a13d5d02085e · outbound

This paper cites Christodoulou and H.

The Euler equations with variable coefficients Christodoulou and H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.812957Z

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=arxiv_source observed=2026-08-05T13:09:49.057210Z digest=sha256:be2fc5a79e610a4aa0e777dd98780be58f7573365be6c3abc2e7ea25fd757ba9

Observation ebafe084-f0d7-471e-a18e-8c50fb153da0 · outbound

This paper cites Coutand and S.

The Euler equations with variable coefficients Coutand and S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.786402Z

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=arxiv_source observed=2026-08-05T13:09:49.101166Z digest=sha256:8166347526be949abd9b00ea1553fd923a7ccb3a94e2d103f8e48e1ee8261e91

Observation 47b4eb0a-eff9-467d-b631-4017e3f3f3e0 · outbound

This paper cites Ferrari, On the blow-up of solutions of the 3-D Euler Equations in a bounded domain, Commun.

The Euler equations with variable coefficients Ferrari, On the blow-up of solutions of the 3-D Euler Equations in a bounded domain, Commun

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.748871Z

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=arxiv_source observed=2026-08-05T13:09:49.150798Z digest=sha256:df5d5e1086f5170b1d7229a11a8b31950708383783d7d5308b5712d60b9354b1

Observation 6e898515-1ac5-447e-b40d-84de75e402c3 · outbound

This paper cites Kozono, Y.

The Euler equations with variable coefficients Kozono, Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.712901Z

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=arxiv_source observed=2026-08-05T13:09:49.212886Z digest=sha256:f4f2d9bf0276553c63e4c254906be400e07af176882521a02f74a60daf2b25d3

Observation e04799ea-a201-420f-99bd-655a9655fed8 · outbound

This paper cites A free boundary inviscid model of flow-structure interaction.

The Euler equations with variable coefficients A free boundary inviscid model of flow-structure interaction

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:09:50.105097Z

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=arxiv_source observed=2026-08-05T13:09:49.293137Z digest=sha256:bab382b83402ecb5adccd946da1d581fe31a7f84ec62ee4f9f39c9e3892aa882

Observation 8eb45cb1-b716-4526-bda5-d59790145981 · outbound

This paper cites Kukavica, A.

The Euler equations with variable coefficients Kukavica, A

Reference 10

Resolution
verified exact
doi, observed 2026-08-05T13:09:49.901652Z

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=arxiv_source observed=2026-08-05T13:09:49.334963Z digest=sha256:479c6892178e6ed3d2875e3d04d42923def638b37bf8ab343759066d21fa9e48

Observation f191e0d1-aefc-4b96-87bc-cf7373638001 · outbound

This paper cites Kukavica, A.

The Euler equations with variable coefficients Kukavica, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.678413Z

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=arxiv_source observed=2026-08-05T13:09:49.408307Z digest=sha256:81f7e6931c6cd2cccba904912c1718d39b7f0b12280468b9a82091c4dff7a6ce

Observation a02c04a0-908d-48e0-a3cc-529e732fa141 · outbound

This paper cites Lannes, Well-posedness of the water-waves equations, J.

The Euler equations with variable coefficients Lannes, Well-posedness of the water-waves equations, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.648380Z

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=arxiv_source observed=2026-08-05T13:09:49.457287Z digest=sha256:7009334441edfdf06bd2524657482500abb0effb28776edf63c32925c695b2d7

Observation 39dc690e-a05e-40ea-818c-df76dd657fb8 · outbound

This paper cites Lindblad, Well-posedness for the linearized motion of an incompressible liquid with free surface boundary, Comm.

The Euler equations with variable coefficients Lindblad, Well-posedness for the linearized motion of an incompressible liquid with free surface boundary, Comm

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.607744Z

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=arxiv_source observed=2026-08-05T13:09:49.508072Z digest=sha256:6ad8354a1068d7eec3bae8f45a7148b255aaef8155648d6f6d2547057a57cc67

Observation f45ad5fa-7bc0-4830-85a4-8a4be5de32a4 · outbound

This paper cites On Kato-Ponce and fractional Leibniz.

The Euler equations with variable coefficients On Kato-Ponce and fractional Leibniz

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T13:09:49.581968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T13:09:49.581968Z digest=sha256:503e240cc660d3731d4866c84a9c90d1598e0043813104d428a09958d6b65fb9

Observation f29554fd-32b7-4df2-8c24-9d5e3c8081a6 · outbound

This paper cites Majda and A.

The Euler equations with variable coefficients Majda and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.518235Z

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=arxiv_source observed=2026-08-05T13:09:49.594323Z digest=sha256:ca1ab8401964836734be9b5fbd1b88bc6ef590a136580b4a19e4062861c49b49

Observation e7f185fc-d8fe-4839-8c2d-c4babcc96be1 · outbound

This paper cites Ponce, Remarks on a Paper by J.T.

The Euler equations with variable coefficients Ponce, Remarks on a Paper by J.T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.479124Z

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=arxiv_source observed=2026-08-05T13:09:49.669017Z digest=sha256:c70c0b9179ac21089dbf31b0c8d8048e1ea2acdc7abae06ef35b0baa69ce3728

Observation 7504893c-6062-4373-9ce1-a7f1489a0922 · outbound

This paper cites Shatah and C.

The Euler equations with variable coefficients Shatah and C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.443046Z

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=arxiv_source observed=2026-08-05T13:09:49.700633Z digest=sha256:581053b48b93d7f2078c4fcb291a2f5635b6c3373fab8a25e2f7e8c02b9fb310

Observation 713e3623-e76e-4c03-9b0f-ff15e1708bc3 · outbound

This paper cites Shatah and C.

The Euler equations with variable coefficients Shatah and C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.421801Z

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=arxiv_source observed=2026-08-05T13:09:49.721204Z digest=sha256:53f0adc93a7a87b90c7fa07af28de94b4c7e435fc8b48c722fffb6f361c97129

Observation 9a006417-cc45-4eb2-b3c5-70201b2404a6 · outbound

This paper cites Simon, Compact Sets in the Space L^p(0,T;B) , Annali di Matematica pura ed applicata 146, 65–96 (1986).

The Euler equations with variable coefficients Simon, Compact Sets in the Space L^p(0,T;B) , Annali di Matematica pura ed applicata 146, 65–96 (1986)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.400510Z

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=arxiv_source observed=2026-08-05T13:09:49.727405Z digest=sha256:d8546ede211ea51be4deec777d1b26a962e28c822e1c2827eeb45882a587d4ac

Observation 473414aa-58c2-468d-81b7-9160a802a42c · outbound

This paper cites Shirota and T.

The Euler equations with variable coefficients Shirota and T

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.373686Z

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=arxiv_source observed=2026-08-05T13:09:49.740967Z digest=sha256:60fab9488f1172819c9c1a1871272068c00b927fc1c42db4c566b6263b28c33f

Observation cfe67b50-bb3c-4de8-9d8a-d6fa49ea602e · outbound

This paper cites Secchi, On nonviscous compressible fluids in a time-dependent domain, Ann.\ Inst.\ H.

The Euler equations with variable coefficients Secchi, On nonviscous compressible fluids in a time-dependent domain, Ann.\ Inst.\ H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.345686Z

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=arxiv_source observed=2026-08-05T13:09:49.752703Z digest=sha256:bdf752382a2f88c522ddce0e5b2248a4c12b8cbd69b881de40d0d506ec8b5885

Observation d577b191-ad0d-4832-abbc-99bea0eac252 · outbound

This paper cites Troianiello, Elliptic Differential Equations and Obstacle Problems.

The Euler equations with variable coefficients Troianiello, Elliptic Differential Equations and Obstacle Problems

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.310407Z

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=arxiv_source observed=2026-08-05T13:09:49.758848Z digest=sha256:450f3868222470955c9280fac0eda626674aacd6a2083980c80d44ba3d5be0de

Observation f5e668a8-a52a-4c97-8721-16659ab4763c · outbound

This paper cites Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary.

The Euler equations with variable coefficients Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:09:49.997331Z

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=arxiv_source observed=2026-08-05T13:09:49.764075Z digest=sha256:d723680cee8a145af6ae1a9a8ff555ffbdcee34c0e61664e3cf0db9e9fd51f07

Observation e8e3145d-04e6-49d5-846e-84dfb65e8436 · outbound

This paper cites Wu, Well-posedness in Sobolev spaces of the full water wave problem in 2 - D , Invent.

The Euler equations with variable coefficients Wu, Well-posedness in Sobolev spaces of the full water wave problem in 2 - D , Invent

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.274514Z

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=arxiv_source observed=2026-08-05T13:09:49.775221Z digest=sha256:814218ae4b7c04154f33b704d70c3a35a140d349728d27ea0bb39646402c3d7f

Observation 7a446783-71e4-47e0-8d93-e4572728b0b6 · outbound

This paper cites Wu, Well-posedness in Sobolev spaces of the full water wave problem in 3- D , J.

The Euler equations with variable coefficients Wu, Well-posedness in Sobolev spaces of the full water wave problem in 3- D , J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.237288Z

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=arxiv_source observed=2026-08-05T13:09:49.782763Z digest=sha256:43fc086d3e4e61ce43b0254562d7297cada3b2827404de33c2b82d9670b46c88

Observation 403a445a-d779-4090-abf3-6867906bafe2 · outbound

This paper cites Wu, Global wellposedness of the 3- D full water wave problem , Invent.

The Euler equations with variable coefficients Wu, Global wellposedness of the 3- D full water wave problem , Invent

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.189870Z

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=arxiv_source observed=2026-08-05T13:09:49.794423Z digest=sha256:4a8c05d4f38c9c199e580a4319e6326016f3a144962412ad6adfe9939d39a178

Observation 1b090ac9-9339-4722-bb22-52fab2067ed5 · outbound

This paper cites Zaj a czkowski, Remarks on the breakdown of smooth solutions for the 3-d Euler equations in a bounded domain, Bull.

The Euler equations with variable coefficients Zaj a czkowski, Remarks on the breakdown of smooth solutions for the 3-d Euler equations in a bounded domain, Bull

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:09:50.160616Z

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=arxiv_source observed=2026-08-05T13:09:49.798913Z digest=sha256:914a71901a2087ab6f4ce08b27dbd0e32f552d575f74dfaf9c73a78e77f33a9c

Pith citing papers

No inbound Pith citation observations are available.