Paper Citation Record · LEDGER

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices

As of 16 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.04976.

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

pith.paper-citation-record.v1
2608.04976 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:40:37.233705Z

measured 40 of 40 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

40 of 40 outbound references displayed

verified exact24
verified fuzzy11
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 28cf6d0f-15b9-4bab-8589-c6b8328ba521 · outbound

This paper cites Abrikosov, On the magnetic properties of superconductors of the second group,Soviet Phys.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Abrikosov, On the magnetic properties of superconductors of the second group,Soviet Phys

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:44.346003Z

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.

Observation 79d7d659-2421-4afa-bda7-8f320ba30187 · outbound

This paper cites Almeida and F.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Almeida and F

Reference 2

Resolution: verified exact; doi, observed 2026-08-06T12:40:41.055053Z

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.

Observation 90b0e6fb-bb91-4b2d-abb8-125ab39cc15b · outbound

This paper cites Baraket and F.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Baraket and F

Reference 3

Resolution: verified exact; doi, observed 2026-08-06T12:40:40.857465Z

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.

Observation fee76251-129f-42e6-815d-a73a8118fc6b · outbound

This paper cites Barashenkov, V .S.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Barashenkov, V .S

Reference 4

Resolution: verified exact; doi, observed 2026-08-06T12:40:40.603906Z

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.

Observation e743025d-693f-4636-9383-97d1bc9a110a · outbound

This paper cites Beaulieu, Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory,Proc.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Beaulieu, Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory,Proc

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:44.101142Z

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.

Observation e6c6c7e1-97f3-4561-8e24-e67477a7397a · outbound

This paper cites Berger and Y .Y.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Berger and Y .Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.932864Z

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.

Observation 20d4c218-c428-45b1-b5d1-3fd1fb160cfa · outbound

This paper cites Bethuel, H.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Bethuel, H

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T12:40:40.349081Z

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.

Observation 19f757ad-7622-43b7-a5b2-411c106441b8 · outbound

This paper cites Bethuel, H.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Bethuel, H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.752827Z

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.

Observation a5e0aafd-7883-4da8-9efe-76dc6aa454a5 · outbound

This paper cites Bethuel, H.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Bethuel, H

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T12:40:34.728903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19d7f209-111d-468a-aef8-74dcb7c8c483 · outbound

This paper cites Bethuel, G.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Bethuel, G

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T12:40:40.156003Z

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.

Observation ae5ce729-55c8-48ac-a1f9-c5dc20728a8f · outbound

This paper cites Bethuel, G.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Bethuel, G

Reference 11

Resolution: verified exact; doi, observed 2026-08-06T12:40:39.916876Z

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.

Observation cb79ba0b-3454-4abf-99a5-25cf0b44d5ff · outbound

This paper cites Brezis, F.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Brezis, F

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T12:40:39.688880Z

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.

Observation 4fc5f62b-8ad4-48fd-bc7d-dcc11dad5b39 · outbound

This paper cites Chen, C.M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Chen, C.M

Reference 13

Resolution: verified exact; doi, observed 2026-08-06T12:40:39.481838Z

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.

Observation 2793fd6c-c88f-4bc1-b744-5e140e38fee3 · outbound

This paper cites an unresolved cited work.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Unresolved cited work

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-06T12:40:42.267838Z

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.

Observation 32e39048-1109-4826-b085-c2bc0294acd0 · outbound

This paper cites Estimates for the Gross-Pitaevskii equation linearized around a vortex.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Estimates for the Gross-Pitaevskii equation linearized around a vortex

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:40:42.003293Z

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.

Observation ffc45a51-23d0-476c-b2cc-800055197b03 · outbound

This paper cites del Pino, P.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices del Pino, P

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T12:40:39.253366Z

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.

Observation c92c28d9-3cfa-4a87-a99a-2995eb5d7516 · outbound

This paper cites del Pino, R.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices del Pino, R

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T12:40:35.470057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a71b3178-f656-4105-b813-d1fd35593159 · outbound

This paper cites del Pino and M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices del Pino and M

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T12:40:39.095217Z

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.

Observation 633b4f60-e118-405e-90c5-da1968e2e442 · outbound

This paper cites del Pino, M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices del Pino, M

Reference 19

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.997751Z

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.

Observation 4f11df45-2ca9-4083-9f8e-eabcb0a0e28c · outbound

This paper cites Duan and J.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Duan and J

Reference 20

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.774338Z

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.

Observation 8951bbc1-2e14-462d-ab2c-76199d405282 · outbound

This paper cites Ginzburg and L.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Ginzburg and L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.595263Z

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.

Observation da90252f-a105-4404-9fc0-29e2d5e96ac2 · outbound

This paper cites Gravejat, E.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Gravejat, E

Reference 22

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.559234Z

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.

Observation dd594c91-9d3f-44bb-86ab-dc1c31e80220 · outbound

This paper cites Guo, Instability of symmetric vortices with large charge and coupling constant,Comm.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Guo, Instability of symmetric vortices with large charge and coupling constant,Comm

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.393997Z

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.

Observation e5299d99-d1a0-488e-9cb3-2d75da4ed414 · outbound

This paper cites Gustafson and I.M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Gustafson and I.M

Reference 24

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.386411Z

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.

Observation 53e4d4b0-0a24-4dfa-88e0-e26bbd61c946 · outbound

This paper cites Herv´e and M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Herv´e and M

Reference 25

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.218886Z

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.

Observation 69f4118a-83b3-4f9f-8dfa-9243017df313 · outbound

This paper cites Jaffe and C.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Jaffe and C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.195256Z

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.

Observation 04ed778f-4c88-4da4-b626-9c458930097f · outbound

This paper cites Jerrard, Lower bounds for generalized Ginzburg–Landau functionals,SIAM J.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Jerrard, Lower bounds for generalized Ginzburg–Landau functionals,SIAM J

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T12:40:38.021130Z

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.

Observation d7025228-cfec-4d65-b043-3156742cebd6 · outbound

This paper cites Jerrard and H.M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Jerrard and H.M

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T12:40:36.380730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2610dec-69e4-41a7-947b-8e4e944871c9 · outbound

This paper cites Lamy and A.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Lamy and A

Reference 29

Resolution: verified exact; doi, observed 2026-08-06T12:40:37.873592Z

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.

Observation ff825af8-793e-44fe-8513-cd5e9f236891 · outbound

This paper cites On the Gross-Pitaevskii evolution linearized around the degree-one vortex.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices On the Gross-Pitaevskii evolution linearized around the degree-one vortex

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:40:41.735368Z

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.

Observation ed002bd0-a9f4-4d8f-97fc-46bbf2907996 · outbound

This paper cites Lin, Some dynamical properties of Ginzburg–Landau vortices,Comm.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Lin, Some dynamical properties of Ginzburg–Landau vortices,Comm

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:43.033096Z

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.

Observation aa40360f-cbd6-4567-801f-f10de201fc84 · outbound

This paper cites Lin, Complex Ginzburg–Landau equations and dynamics of vortices, filaments, and codimension-2submanifolds,Comm.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Lin, Complex Ginzburg–Landau equations and dynamics of vortices, filaments, and codimension-2submanifolds,Comm

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:42.855169Z

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.

Observation c2afdd6d-5328-49d2-b86c-080c6b76fd9a · outbound

This paper cites Mironescu, On the stability of radial solutions of the Ginzburg–Landau equation,J.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Mironescu, On the stability of radial solutions of the Ginzburg–Landau equation,J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T12:40:36.759899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cfe0af4-aca1-44b1-93cf-c3b94a4b6395 · outbound

This paper cites Ovchinnikov and I.M.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Ovchinnikov and I.M

Reference 34

Resolution: verified exact; doi, observed 2026-08-06T12:40:37.677522Z

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.

Observation 7ecee746-b6ef-43df-8aea-31618faee29f · outbound

This paper cites Pacard and T.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Pacard and T

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:42.681366Z

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.

Observation d103c168-2b28-4308-a524-ca08735af2d5 · outbound

This paper cites Linearized dynamic stability for vortices of Ginzburg-Landau evolutions.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Linearized dynamic stability for vortices of Ginzburg-Landau evolutions

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:40:41.499769Z

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.

Observation ebceb415-3a6b-4887-b2bc-3ff16c6c49d9 · outbound

This paper cites Sandier, Lower bounds for the energy of unit vector fields and applications,J.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Sandier, Lower bounds for the energy of unit vector fields and applications,J

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-06T12:40:41.303546Z

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.

Observation 105d197e-9174-43a7-9cda-925d09ecc954 · outbound

This paper cites Sandier and S.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Sandier and S

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T12:40:37.080365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 666e6847-e460-4c2e-9a19-a1d60204d521 · outbound

This paper cites Sandier and S.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Sandier and S

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:40:42.483836Z

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.

Observation 6e5bce1e-0b81-4f11-ae5d-f9167bbd66da · outbound

This paper cites Serfaty and I.

Nondegeneracy and Morse Index of Ginzburg--Landau Vortices Serfaty and I

Reference 40

Resolution: verified exact; doi, observed 2026-08-06T12:40:37.423678Z

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.

Pith citing papers

No inbound Pith citation observations are available.