Paper Citation Record · LEDGER

Breather solutions to nonlinear Maxwell equations with retarded material laws

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2508.20938.

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

pith.paper-citation-record.v1
2508.20938 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:52:25.542983Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

34 of 34 outbound references displayed

verified exact19
verified fuzzy6
unresolved3
parse uncertain0
malformed identifier6
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6c8c98f-7c45-4183-8c1e-999addd72ed3 · outbound

This paper cites an unresolved cited work.

Breather solutions to nonlinear Maxwell equations with retarded material laws Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:52:26.176577Z

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 215b91ee-f5cb-4110-8d6d-64d0dbe9bd76 · outbound

This paper cites Existence of static solutions of the semilinear Maxwell equations.

Breather solutions to nonlinear Maxwell equations with retarded material laws Existence of static solutions of the semilinear Maxwell equations

Reference 2

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.733513Z

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 58cbe35b-7989-448c-8a2f-91104e558d41 · outbound

This paper cites Nonlinear time-harmonic Maxwell equations in domains.

Breather solutions to nonlinear Maxwell equations with retarded material laws Nonlinear time-harmonic Maxwell equations in domains

Reference 3

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T14:52:26.166142Z

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 6a6e01df-7c0c-4182-9340-f566170300ed · outbound

This paper cites Ground states of a nonlinear curl-curl problem in cylindrically symmetric media.

Breather solutions to nonlinear Maxwell equations with retarded material laws Ground states of a nonlinear curl-curl problem in cylindrically symmetric media

Reference 4

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.724373Z

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 c5d28ec2-500e-4580-8580-b7c85272a880 · outbound

This paper cites Towards a unified field theory for classical electrody- namics.

Breather solutions to nonlinear Maxwell equations with retarded material laws Towards a unified field theory for classical electrody- namics

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-08-05T14:52:25.450239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 195e95b4-25b0-4230-8f17-fe76befa7dce · outbound

This paper cites Fractional Leibniz rule on the torus.

Breather solutions to nonlinear Maxwell equations with retarded material laws Fractional Leibniz rule on the torus

Reference 6

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.709560Z

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 b47fda1d-ba1e-4bf3-a9aa-e22a897f8b77 · outbound

This paper cites Traveling waves for a quasilinear wave equation.

Breather solutions to nonlinear Maxwell equations with retarded material laws Traveling waves for a quasilinear wave equation

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-05T14:52:25.457492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3489a24-6ec8-40f4-b44e-ddcb29e01c03 · outbound

This paper cites Correction to: eigenvalue bifurcation in doubly non- linear problems with an application to surface plasmon polaritons.

Breather solutions to nonlinear Maxwell equations with retarded material laws Correction to: eigenvalue bifurcation in doubly non- linear problems with an application to surface plasmon polaritons

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.156615Z

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 b45fc3d9-055b-46ad-a552-80c949b72ad7 · outbound

This paper cites Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons.

Breather solutions to nonlinear Maxwell equations with retarded material laws Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons

Reference 9

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.700078Z

Source-reported events for the cited work

correction dated 2022-11-19. Source: crossref record 10.1007/s00030-022-00815-x->10.1007/s00030-020-00668-2:correction, observed 2026-07-11T02:57:02.965214+00:00. This notice travels one citation hop only.

Observation 7c3716ee-4f3c-4c17-b88d-07008050dedb · outbound

This paper cites Rigorous envelope approxima- tion for interface wave packets in Maxwell’s equations with two dimensional localization.

Breather solutions to nonlinear Maxwell equations with retarded material laws Rigorous envelope approxima- tion for interface wave packets in Maxwell’s equations with two dimensional localization

Reference 10

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.690796Z

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 489d30b5-2800-4ba5-af12-24620a4548ba · outbound

This paper cites Schwartz.Linear operators.

Breather solutions to nonlinear Maxwell equations with retarded material laws Schwartz.Linear operators

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.147477Z

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 2978bb99-45d4-49e1-af9c-29d396168465 · outbound

This paper cites an unresolved cited work.

Breather solutions to nonlinear Maxwell equations with retarded material laws Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T14:52:26.138409Z

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 1d4a2ebc-7ee5-4a3e-b287-ea246b23d21c · outbound

This paper cites Breather solutions for semilinear wave equations.

Breather solutions to nonlinear Maxwell equations with retarded material laws Breather solutions for semilinear wave equations

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:52:26.015217Z

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 5d260e77-95bd-493f-b8f4-0aa503a2bcb8 · outbound

This paper cites Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients.

Breather solutions to nonlinear Maxwell equations with retarded material laws Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

Reference 14

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.681158Z

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 75f897cc-6a17-41cf-8a46-12125de33078 · outbound

This paper cites Breathersolutionsforaquasi-linear (1+1)-dimensional wave equation.

Breather solutions to nonlinear Maxwell equations with retarded material laws Breathersolutionsforaquasi-linear (1+1)-dimensional wave equation

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-05T14:52:25.482106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fd44206-77fb-48d5-9b47-ae3fec5db19a · outbound

This paper cites Breather solutions for a semi- linear Klein-Gordon equation on a periodic metric graph.

Breather solutions to nonlinear Maxwell equations with retarded material laws Breather solutions for a semi- linear Klein-Gordon equation on a periodic metric graph

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T14:52:25.485061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e601d68e-86e1-45ba-b093-07d0ea7178c0 · outbound

This paper cites A simple variational approach to nonlinear Maxwell equations.

Breather solutions to nonlinear Maxwell equations with retarded material laws A simple variational approach to nonlinear Maxwell equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.129219Z

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 56d95a9d-7e99-4140-b3e2-5fffad1ea854 · outbound

This paper cites Ground states for Maxwell’s equations in nonlocal nonlinear media.

Breather solutions to nonlinear Maxwell equations with retarded material laws Ground states for Maxwell’s equations in nonlocal nonlinear media

Reference 18

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.666117Z

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 743f73ef-03a3-4db7-b224-6adac51653be · outbound

This paper cites Ground states of time-harmonic semilinear Maxwell equations inR3 with vanishing permittivity.

Breather solutions to nonlinear Maxwell equations with retarded material laws Ground states of time-harmonic semilinear Maxwell equations inR3 with vanishing permittivity

Reference 19

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.656043Z

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 910d1d37-329e-4af9-8e72-fe565d8f769b · outbound

This paper cites Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media.

Breather solutions to nonlinear Maxwell equations with retarded material laws Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.646828Z

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 a640912d-295c-4350-a20c-696280992db9 · outbound

This paper cites Nonlinear curl-curl problems inR3.

Breather solutions to nonlinear Maxwell equations with retarded material laws Nonlinear curl-curl problems inR3

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.118679Z

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 4aca387a-1a24-4302-a8cb-720ee48149e4 · outbound

This paper cites an unresolved cited work.

Breather solutions to nonlinear Maxwell equations with retarded material laws Unresolved cited work

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:52:25.925888Z

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 58afc4ac-47d6-418a-8b7f-564c659c94cb · outbound

This paper cites CRC 1173 Preprint 2024/15.

Breather solutions to nonlinear Maxwell equations with retarded material laws CRC 1173 Preprint 2024/15

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-05T14:52:25.846163Z

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 798104b9-1824-46ea-bdf9-0b78d10d4865 · outbound

This paper cites Travelling breather solutions in waveguides for cubic nonlinear Maxwell equations with retarded material laws.

Breather solutions to nonlinear Maxwell equations with retarded material laws Travelling breather solutions in waveguides for cubic nonlinear Maxwell equations with retarded material laws

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-05T14:52:25.746106Z

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 6bdb9993-aaab-4072-86f8-1703e8566a01 · outbound

This paper cites On the spectra of periodic differential operators.

Breather solutions to nonlinear Maxwell equations with retarded material laws On the spectra of periodic differential operators

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.109378Z

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 31cff4f4-4b95-4b5e-a9bb-85075ae82edb · outbound

This paper cites Variational methods.

Breather solutions to nonlinear Maxwell equations with retarded material laws Variational methods

Reference 26

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.629489Z

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 4fe524f1-a2c7-4b22-a7e2-c66671288e73 · outbound

This paper cites Modellingaxi-symmetric travelling waves ina dielectric withnonlinear refractive index.

Breather solutions to nonlinear Maxwell equations with retarded material laws Modellingaxi-symmetric travelling waves ina dielectric withnonlinear refractive index

Reference 27

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T14:52:25.618508Z

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 1387b803-d3c5-4d35-b488-9aaedfcdc017 · outbound

This paper cites Self-trapping of an electromagnetic field and bifurcation from the essential spectrum.

Breather solutions to nonlinear Maxwell equations with retarded material laws Self-trapping of an electromagnetic field and bifurcation from the essential spectrum

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T14:52:26.099747Z

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 07694ba5-2380-4faa-8eb4-22e474cac402 · outbound

This paper cites A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric.

Breather solutions to nonlinear Maxwell equations with retarded material laws A constrained minimization problem and its application to guided cylindrical TM-modes in an anisotropic self-focusing dielectric

Reference 29

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T14:52:26.089000Z

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 da5527bf-056d-4b49-a09e-4993a4c3871f · outbound

This paper cites A variational problem related to self-trapping of an electromagnetic field.

Breather solutions to nonlinear Maxwell equations with retarded material laws A variational problem related to self-trapping of an electromagnetic field

Reference 30

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.607571Z

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 d3c138a8-a790-4be4-823e-805d0c070235 · outbound

This paper cites Axisymmetric TE-modes in a self-focusing di- electric.

Breather solutions to nonlinear Maxwell equations with retarded material laws Axisymmetric TE-modes in a self-focusing di- electric

Reference 31

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.595634Z

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 6c73a19d-4863-4d71-a5c4-27497831c831 · outbound

This paper cites Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric.

Breather solutions to nonlinear Maxwell equations with retarded material laws Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric

Reference 32

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.584375Z

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 41ad1373-d8cb-4da8-8c31-bdaaf84cfa43 · outbound

This paper cites Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric.

Breather solutions to nonlinear Maxwell equations with retarded material laws Existence of guided cylindrical TM-modes in an inhomogeneous self-focusing dielectric

Reference 33

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.572814Z

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 875cf1cb-c5d2-400c-a5b4-d26d0d68fc22 · outbound

This paper cites an unresolved cited work.

Breather solutions to nonlinear Maxwell equations with retarded material laws Unresolved cited work

Reference 77

Resolution: verified exact; doi, observed 2026-08-05T14:52:25.638510Z

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.