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Paper Citation Record · LEDGER

Superlinear gradient growth for 2D Euler equation without boundary

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2507.15739.

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

pith.paper-citation-record.v1
2507.15739 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:28:32.426057Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T03:07:34.482463Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 6d6c2dd5-a26e-4d9b-bc5e-e4fb84adfbb9 · inbound

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus cites this paper.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Superlinear gradient growth for 2D Euler equation without boundary

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T13:28:32.426057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:28:32.426057Z digest=sha256:1795b929f14e7ba09c0725b7f9f33ae9e99d03474b60f19c15245275d81e3951

Observation 618c23ac-139a-4558-bb78-c1c98019c38c · inbound

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ cites this paper.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Superlinear gradient growth for 2D Euler equation without boundary

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-16T11:57:50.030954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-16T11:56:04.316037Z digest=sha256:592816c361ed8df9e22d57f4e22af7858ddc7f2ecf6b74e79aeda52b2b49db7f

Observation 76de3128-7297-4697-b163-3b9ba392b061 · inbound

Growth of vorticity gradient for the Euler equation on the sphere cites this paper.

Growth of vorticity gradient for the Euler equation on the sphere Superlinear gradient growth for 2D Euler equation without boundary

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:06:05.052211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T02:20:39.705092Z digest=sha256:26cc480f0ab77b8296ba504c8c2e7675b6726493a83d89e21210340f74b5c410

Observation d3c2501e-622c-4ce7-a45d-d998355c221d · inbound

Small scale creation in 2D gravity-capillary water waves with vorticity cites this paper.

Small scale creation in 2D gravity-capillary water waves with vorticity Superlinear gradient growth for 2D Euler equation without boundary

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T13:11:03.609339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T02:16:51.646691Z digest=sha256:c1940474e168e89949d7c6485c543b7ff7bbf35f1b58e38bb7d0bc2dc167e746

Observation 241d8662-6686-4627-a0fb-3318768e3caf · inbound

On the stability of Lamb-Chaplygin dipole for the 2D Euler equation cites this paper.

On the stability of Lamb-Chaplygin dipole for the 2D Euler equation Superlinear gradient growth for 2D Euler equation without boundary

Reference 36

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T16:16:08.950351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-09T18:16:41.687336Z digest=sha256:353ec13df8a16c03e4ba22ae59eeacefa3df2ed944fcf368a30dc0c45239d438

Observation 58a44796-ef1d-4df9-8005-51b369442096 · inbound

Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane cites this paper.

Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane Superlinear gradient growth for 2D Euler equation without boundary

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:16:11.087879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-28T21:31:04.233045Z digest=sha256:e9c66fee4afbea5b0b30d1cae79ba702af7f7202f94396aace89618dcc061415

Observation 4d3fe196-e70a-40a0-a5e1-89b737a7becd · inbound

Linear Stability of the Lamb-Chaplygin Dipole cites this paper.

Linear Stability of the Lamb-Chaplygin Dipole Superlinear gradient growth for 2D Euler equation without boundary

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-03T03:07:34.484104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T15:37:57.770077Z digest=sha256:5bf6851531ba3ca56fc706f75e77a685be5bafaeaaf8f17c075989d12b46db27