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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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:48.641128Z digest=sha256:8cb4c8ad01ddfd8d40fd680c254b7dbd61430d705301a47ff4e950ebc95375fc

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:48.744989Z digest=sha256:b6fa512d3b37c137276126b11f3ffb298af6b5136cb670fa818b46e0cf86bc5e

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:48.982508Z digest=sha256:9ccbd7bbb81cbd8af368bc8ae4f543466b32a236a1aab4bd52f86fea9cd21fff

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.057210Z digest=sha256:94ed8b687bb423c546f3316fdd6b7c7bb5d2ba937e52cccf5a32323a930b3d58

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.101166Z digest=sha256:5e5441243d5a6b15e8b5ffc0cac8932613ff8aa63853d1139a74523b9aeef7dd

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.150798Z digest=sha256:a732386f6a0374d06b3aaa02bd314ceba20bc9260afd16cbc39fb34bfb631ca2

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.212886Z digest=sha256:bc4a4273824183cdc61091b802459905d433f86ce77a8577b7eb5d1134c5c00c

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.293137Z digest=sha256:7b64475ade9b0c421ae0ca2db6e75483ade9d4d055f0e0eb73fe30f6d1fefb1f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.334963Z digest=sha256:7689f6eb20404708b84dccbd8b62981717b120708f495ab92d83bcf02ab540b7

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.408307Z digest=sha256:3ad90afdaf66b996558169ebca4df1a96241e32933c929cea618fd387c8c5939

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.457287Z digest=sha256:d0534ebe475c23899e4bb0cbf30fb10aa5c031461c706011a482940b395314d4

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.508072Z digest=sha256:63fefd46d003cbe6f11933faf6255310f6e0eb3a1f4cd742a7fa6520c2e8a74d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.594323Z digest=sha256:d399b32bc0bcd95066ba0a916b28bbed6fb216dfe3290947527df7a782a6bbd0

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.669017Z digest=sha256:8258496cfdd424ad14e5721b10b4c7fc744d6a4f7e2661414fe71a3230d1a908

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.700633Z digest=sha256:30dfe9de6b6f385e4f1a8a0c766dfe189f74a34304aed94216730f390921cb03

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.721204Z digest=sha256:f31360f2c54de0843422459f586eca62e1c4b7ebcda5488a24bb586a40a48594

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.727405Z digest=sha256:1a0d484c93f2262070a58aed479ca0b1a647272b5dee2681304e82c9e0235c1f

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.740967Z digest=sha256:d5797313671165b14b01f960317f9201ae276f92f3da84f663709aaacc255781

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.752703Z digest=sha256:24e052610c4bad67df91115c6e86f65f4e728d5030db9e7cee3bcc9740ab79ca

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.758848Z digest=sha256:c8709143eed640d20ea1da98c6b5491278e74c90f675cde3a92bebe5580e1404

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.764075Z digest=sha256:4367f8279a2355b2981df81028dffe77082e32e563dea460670574990604d1b9

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.775221Z digest=sha256:79dd21a8f129570cabb13f058fe97144325dae23b3c5dd12992a6009c0dea9f9

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.782763Z digest=sha256:4107b6b42c0d2c42c8c8acb517a17936fc7d4a824372c825c36ea69bcbca348d

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.794423Z digest=sha256:ba5d31c46bd44c47174ff220fd135b6501747bdc6e95be0247d993b81ddbe019

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 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-05T13:09:49.798913Z digest=sha256:246c27d5d37d041e56dc3ae94b1b64e9158e4dd5bdde8210fcc57fd9566131c1

Pith citing papers

No inbound Pith citation observations are available.