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Paper Citation Record · LEDGER

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

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2509.00750.

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

pith.paper-citation-record.v1
2509.00750 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:28:33.595933Z

measured 23 of 23 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T06:20:04.136946Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T15:48:35.890487Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved16
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dfb3b0c4-36b6-471e-8876-e7d82b501c0c · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:38.867953Z

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.

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Observation 0846f678-55e3-40c2-a77f-7f7fbe9b176b · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:38.641154Z

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.

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Observation ac800f17-0b13-4a24-899f-30cad1a15693 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:38.372689Z

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.

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Observation 2afd4d7e-65f0-4e52-8cb2-f11afb834741 · outbound

This paper cites American Mathematical Society, Provi- dence, RI, 2022.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus American Mathematical Society, Provi- dence, RI, 2022

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:28:38.127973Z

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.

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Observation afcf9d9c-c51f-4b2d-81c7-7e0c7b515744 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:37.887802Z

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.

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Observation 11f5370d-e72a-4844-ac6d-6571951f7cfd · outbound

This paper cites Stability of degree-2 Rossby-Haurwitz waves.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Stability of degree-2 Rossby-Haurwitz waves

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T13:28:31.919160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:28:31.919160Z digest=sha256:6ed0c319973fc4ad5659b297fee383043c0cf47832854a29a8442c925ba128bf

Observation 2ffaa928-02a0-4cf3-810d-31db4e1d2e58 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:37.609533Z

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.

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Observation 2686a88e-19a2-4562-ae33-6a365e9d2563 · outbound

This paper cites M.: Existence de nappes de tourbillon en dimension deux, J.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus M.: Existence de nappes de tourbillon en dimension deux, J

Reference 8

Resolution
verified fuzzy
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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.

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Observation 6e5cf261-3f03-4dcf-82da-52e5a63d99cd · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:37.009523Z

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.

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Observation 6aeffc24-b3d8-414c-abbd-1fd2e8fd1e4d · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:36.804441Z

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.

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Observation b0462724-206b-4dd8-b570-ebdd0b9d1e8b · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:36.526578Z

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.

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

This paper cites Superlinear gradient growth for 2D Euler equation without boundary.

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.

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Observation eafa9463-0619-47e9-b9a1-9b7575d4d509 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:36.294337Z

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.

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Observation 1215b8b9-e221-4afa-bfe2-160b73043a98 · outbound

This paper cites Cambridge University Press, Cambridge, 2002.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Cambridge University Press, Cambridge, 2002

Reference 14

Resolution
verified fuzzy
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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.

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Observation 3885457d-d5c4-4b34-85bb-02d1f3f68ce9 · outbound

This paper cites Springer, New York, 1994 ORBITAL STABILITY OF FIRST LAPLACIAN EIGENSTATES FOR THE EULER EQUATION 21.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Springer, New York, 1994 ORBITAL STABILITY OF FIRST LAPLACIAN EIGENSTATES FOR THE EULER EQUATION 21

Reference 15

Resolution
verified fuzzy
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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.

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Observation ac6f4ae1-5ef1-4e6e-a257-3514353dfcf9 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:35.473145Z

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.

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Observation bd7225df-6f99-4153-8c72-da2e73e0b685 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:35.183444Z

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.

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Observation 5dc0c02a-7473-407f-a219-0b329b135ddd · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:34.959608Z

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.

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Observation a747108a-f506-49da-9bc9-fa8f1aec6337 · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:34.696290Z

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.

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Observation 17096323-eb63-4db8-a494-f64b1ddaa254 · outbound

This paper cites Nonlinear stability of plane ideal flows in a periodic channel.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Nonlinear stability of plane ideal flows in a periodic channel

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:28:33.830635Z

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.

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Observation 261177f4-f3b3-489d-a08f-8fd4550e268f · outbound

This paper cites an unresolved cited work.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:28:34.461301Z

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.

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Observation 4d9504b9-70eb-4a32-a285-2d761b518427 · outbound

This paper cites I.: Non-stationary flow of an ideal incompressible fluid, USSR Comp.

Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus I.: Non-stationary flow of an ideal incompressible fluid, USSR Comp

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:28:34.135330Z

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.

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Pith citing papers

Observation 33c51d56-c934-4b6a-8b65-90789bdc8d7d · inbound

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

Quantitative Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-23T00:23:35.667715Z

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.

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