Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:21:57.490973Z
Paper Citation Record · LEDGER
Vortex dynamics for the Gross-Pitaevskii equation
As of 20 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2507.18590.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
49 of 49 outbound references displayed
- verified exact0
- verified fuzzy27
- unresolved22
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4bea2df6-d94a-4d48-9219-21306f24c138 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.431410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0532a893-d2b1-4e22-afe6-88f68abcbf73 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.416646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0d372c88-b079-4ace-92dc-0b5f4cbb6f7a · outbound
This paper cites Bethuel, R.
Vortex dynamics for the Gross-Pitaevskii equation Bethuel, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.402183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2eb7e3ad-8efc-4d5c-9165-85f605042a08 · outbound
This paper cites Bethuel, G.
Vortex dynamics for the Gross-Pitaevskii equation Bethuel, G
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.388118Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4af27d0f-923f-47c8-8f1f-005c33120511 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.373653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f7fda7ad-e3e9-4221-be4d-6b3e5764c3da · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.358184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a0b80736-028b-4d2a-ba9f-82e07a0bbcf3 · outbound
This paper cites Bethuel and D.
Vortex dynamics for the Gross-Pitaevskii equation Bethuel and D
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.343910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b4b607fa-7e6d-4bbb-954d-4d95111c2b71 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.329503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c6b51c44-d566-466e-9932-5334fbe95ebf · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.314071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d10b322e-f458-410a-9c8c-33638021b7c3 · outbound
This paper cites Chiron and E.
Vortex dynamics for the Gross-Pitaevskii equation Chiron and E
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.296902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fdbca529-0b3e-407c-bd87-fec5afef5854 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.281935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8116a418-a5f3-4ba1-84c4-4b55da9306ab · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.266212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9b083a3f-bd63-4015-a44b-ac0378879ff1 · outbound
This paper cites Estimates for the Gross-Pitaevskii equation linearized around a vortex.
Vortex dynamics for the Gross-Pitaevskii equation Estimates for the Gross-Pitaevskii equation linearized around a vortex
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:21:57.298675Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc8d7ef0-b8b7-419a-8604-8847d37bbccd · outbound
This paper cites D´ avila, M.
Vortex dynamics for the Gross-Pitaevskii equation D´ avila, M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.251629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 27ef4525-61d1-497f-82e8-bf42022b5c40 · outbound
This paper cites D´ avila, M.
Vortex dynamics for the Gross-Pitaevskii equation D´ avila, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.236327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cb993f35-39ff-405a-a741-96fbfa7849f8 · outbound
This paper cites del Pino, P.
Vortex dynamics for the Gross-Pitaevskii equation del Pino, P
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.221394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0d932cb3-9eb2-4317-a759-f9d702effe51 · outbound
This paper cites del Pino, R.
Vortex dynamics for the Gross-Pitaevskii equation del Pino, R
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.206926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1b6f033a-ceca-44f7-ada5-7c4d9d78dd71 · outbound
This paper cites del Pino, M.
Vortex dynamics for the Gross-Pitaevskii equation del Pino, M
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.192346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2cb3425a-4747-44e1-8977-9f44274acc5f · outbound
This paper cites Dolce and T.
Vortex dynamics for the Gross-Pitaevskii equation Dolce and T
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:21:57.330799Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18c474c1-c0bb-44d6-8552-59bc7170d19c · outbound
This paper cites Gallay, Interaction of vortices in weakly viscous planar flows , Arch.
Vortex dynamics for the Gross-Pitaevskii equation Gallay, Interaction of vortices in weakly viscous planar flows , Arch
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.175453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1f160565-a486-4c16-931f-77ca7bfbd07d · outbound
This paper cites Gallay and V.
Vortex dynamics for the Gross-Pitaevskii equation Gallay and V
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.160105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8b5e4ba8-f114-4c87-bdd2-6d04bb43f15a · outbound
This paper cites Gravejat, E.
Vortex dynamics for the Gross-Pitaevskii equation Gravejat, E
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.146737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cf5070df-6f66-470b-93bc-1f60c971ce8e · outbound
This paper cites Herv´ e and M.
Vortex dynamics for the Gross-Pitaevskii equation Herv´ e and M
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.132179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c649b4c6-f328-460d-a680-4b3525fb147b · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.114901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 19aa0199-2e6f-47f9-97b0-d207426da59b · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.100127Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6c572410-220b-4124-8cc1-b9ef37acafd2 · outbound
This paper cites Partial Differential Equations 40 (2015), 135–190.
Vortex dynamics for the Gross-Pitaevskii equation Partial Differential Equations 40 (2015), 135–190
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.085614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 89696b32-088f-48ab-8ce8-2a80dc64b7ed · outbound
This paper cites Kurzke, C.
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.071221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ba7c3adf-135e-4496-aa4e-bfdf057ed945 · outbound
This paper cites Lin, Some dynamical properties of Ginzburg-Landau vortices , Comm.
Vortex dynamics for the Gross-Pitaevskii equation Lin, Some dynamical properties of Ginzburg-Landau vortices , Comm
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.055864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3226aada-a109-406a-9d57-c493adfb38ae · outbound
This paper cites Lin and J.
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.040286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f728dba7-04b4-4cd5-921e-d1ff43b5d337 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:58.025046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 37134eeb-aeaa-4b2f-b7f7-9d04e16e776c · outbound
This paper cites Liu and J.
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:58.010101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 99d112cb-4345-4801-a2df-c9b9a38bc9dc · outbound
This paper cites On the Gross-Pitaevskii evolution linearized around the degree-one vortex.
Vortex dynamics for the Gross-Pitaevskii equation On the Gross-Pitaevskii evolution linearized around the degree-one vortex
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:21:57.400114Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee18a3af-b8d4-4ff4-be70-d87c2d03e804 · outbound
This paper cites Manton and P.
Vortex dynamics for the Gross-Pitaevskii equation Manton and P
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.993019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a7e3d189-096e-43f4-896d-77a721cffb91 · outbound
This paper cites Marchioro and M.
Vortex dynamics for the Gross-Pitaevskii equation Marchioro and M
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.975356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5c3ce76d-6fe2-4d4e-a1b9-f37dcdfb9d38 · outbound
This paper cites Miot, Dynamics of vortices for the complex Ginzburg-Landau equation , Anal.
Vortex dynamics for the Gross-Pitaevskii equation Miot, Dynamics of vortices for the complex Ginzburg-Landau equation , Anal
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.959819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7141ec03-13ff-41db-95b8-762ece5a34bb · outbound
This paper cites Mironescu, On the stability of radial solutions of the Ginzburg-Landau equation, J.
Vortex dynamics for the Gross-Pitaevskii equation Mironescu, On the stability of radial solutions of the Ginzburg-Landau equation, J
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.943835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 605c61cc-3f73-4b00-beda-83ecbf216433 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.927917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0a5980e6-463e-45fb-a745-7aad2203c43b · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.911180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dcebd2b2-8a77-453b-86c9-057dbc5641b7 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.895687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 46ae7506-15fc-4780-94d1-75e4a773356d · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.878788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 73ae4c88-febe-4848-a133-74b5ea95c9c2 · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.845583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 754d6822-9ba1-461e-9299-efc301f7c97b · outbound
This paper cites Pacard and T.
Vortex dynamics for the Gross-Pitaevskii equation Pacard and T
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.830161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a18bc0eb-f975-405c-a5d4-79002b8d3d76 · outbound
This paper cites Linearized dynamic stability for vortices of Ginzburg-Landau evolutions.
Vortex dynamics for the Gross-Pitaevskii equation Linearized dynamic stability for vortices of Ginzburg-Landau evolutions
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:21:57.458840Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 983b85a7-fddd-40a2-9b65-009a3e205736 · outbound
This paper cites Sandier and S.
Vortex dynamics for the Gross-Pitaevskii equation Sandier and S
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.812745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5506d1dd-a3ed-4717-8f26-b37b51a925f2 · outbound
This paper cites Serfaty, Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow.
Vortex dynamics for the Gross-Pitaevskii equation Serfaty, Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.790788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4a9a99ca-e156-49d1-a8ba-aa396efba26c · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.773689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation daf34367-01b0-4749-bfe9-8fd5e96510af · outbound
This paper cites an unresolved cited work.
Vortex dynamics for the Gross-Pitaevskii equation Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:21:57.754856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d4fd3dd8-f52e-4cdc-9e2a-4a2a0ad711e8 · outbound
This paper cites Tartar, An introduction to Sobolev spaces and interpolation spaces, Lecture Notes of the Unione Matematica Italiana, 3.
Vortex dynamics for the Gross-Pitaevskii equation Tartar, An introduction to Sobolev spaces and interpolation spaces, Lecture Notes of the Unione Matematica Italiana, 3
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.737303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eb75846f-2524-423f-9910-09897dd37aa6 · outbound
This paper cites Venkatraman, Periodic orbits of Gross-Pitaevskii in the disc with vortices following point vortex flow , Calc.
Vortex dynamics for the Gross-Pitaevskii equation Venkatraman, Periodic orbits of Gross-Pitaevskii in the disc with vortices following point vortex flow , Calc
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:21:57.721772Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.