Paper Citation Record · LEDGER

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2509.02925.

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

pith.paper-citation-record.v1
2509.02925 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:24:50.277090Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy5
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0c29d4a-d831-4808-84fd-41103c6a7d23 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.477131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 396902e4-6c94-4e4c-a98d-af5e7dfe5a77 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.451721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f636817a-f91d-4cc1-a205-27361e818219 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.459945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8c56271b-b8e3-4559-b76a-feaa5402a061 · outbound

This paper cites sufficiently.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method sufficiently

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:24:50.468520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f8e22a8a-6a2e-40bb-b659-599e74c4d425 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.443390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a047624-e1ba-489a-956f-5c9ddae7cc18 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.435081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6ccdd0a1-827b-466f-aa87-8a5ef327ad0e · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.426492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3535ce25-ac21-42fe-a06b-5d62a1444a1a · outbound

This paper cites Kukuljan, S.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Kukuljan, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:24:50.418127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 94e48355-c11d-4e8b-84b5-1123d26cc7eb · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.409369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4ce80218-76b2-4882-b1a1-2276ac5ed1cb · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.400284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07d62422-e9f2-4d3d-84ca-e4e3825607b5 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.391569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dde062d8-312f-411c-bc0f-cdd478940d0a · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.382815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93d61209-0806-4d23-afaa-77707577a7a7 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.373820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6243539d-c7d1-40ac-8b1a-2879649fa9c8 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.365186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4c14697-163f-486f-8f0c-85a14e23e775 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.355528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9f7bcbd-6071-4e04-8267-5aaf97af4039 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.345024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 575b4a6b-d9bf-4ae9-9b31-c1cbc6f745fc · outbound

This paper cites Ates and M.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Ates and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:24:50.335838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e5868b24-f450-4fb2-8f0b-6e7a54ac2651 · outbound

This paper cites Paiva, Interaction of Dirac δ-waves in the nonlinear Klein-Gordon equation, Journal of Differential Equations 270, 1196 (2021).

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Paiva, Interaction of Dirac δ-waves in the nonlinear Klein-Gordon equation, Journal of Differential Equations 270, 1196 (2021)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:24:50.326589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ac1c44cc-50f6-4b9b-8330-9907361b8f62 · outbound

This paper cites Saltzman, Finite Amplitude Free Convection as an Ini- tial Value Problem—I, Journal of Atmospheric Sciences 19, 329 (1962).

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Saltzman, Finite Amplitude Free Convection as an Ini- tial Value Problem—I, Journal of Atmospheric Sciences 19, 329 (1962)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:24:50.316567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aa11d2be-6d97-4144-8de6-871606e165e6 · outbound

This paper cites an unresolved cited work.

Solving the nonlinear Klein-Gordon equation: semianalytical Galerkin method Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:24:50.306543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.