Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T16:23:06.616618Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2508.18840.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T16:23:06.616618Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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
49 of 49 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5b950f86-c373-45e4-8355-5b21f34ec201 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Alves, C
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4b7c44c8-ac52-4b7e-a70c-cb42550e7388 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Alves, C
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cd18ab5b-eb34-4d88-8a87-6d39f164998c · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Ambrosio, Concentration phenomena for a class of fractional Kirchhoff equations inRN with general nonlinearities
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fee020dd-3a25-43d5-b042-9426b4358a99 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Chang, R
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cafc0065-80ea-4439-a8d2-879c382325af · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Chang, V.D
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 62de7d8d-b05b-4e19-8116-af09adfc8ba5 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Cheng, S
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5e6e5403-e077-45ea-9dad-371385edcf27 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Di Nezza, G
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6500f04e-002d-4abf-bda4-a84cbc26f1c5 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f11a91e5-c960-40a2-9aee-d74ef2addbe7 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 69d0e3f5-bd6a-4839-a592-63ed7d425d62 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Fiscella, E
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d9719ea4-a03d-4f93-8e6c-eedacaeffd9a · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e182a6f5-1b02-473b-bde4-dda02eca4898 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 106679a4-aa10-4e8f-a6aa-4cf3912af7fe · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7b80389e-57eb-4965-a610-4e955b7b7455 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0a2dd8e3-db73-4de1-8b3c-c16051f0ec68 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8cedc57c-edd0-402e-8559-228dc252581a · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ff4568b4-93b3-4ee8-8df1-b6d932d00bde · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 23394679-e338-40dc-a931-9423720488e6 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Huang, Y
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8192ef56-4c44-4ab6-b5a1-23eed9bc8d0f · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Isernia, Sign-changing solutions for a fractional Kirchhoff equation
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d0e4c49e-bea0-4efe-8d43-66369f832170 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3f1bcae8-e0be-4e04-97b3-21246f1bd13f · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Laskin, Fractional quantum mechanics and L´ evy path integrals
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 342ec525-5ca9-44f2-93aa-010c9b4e6509 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Lei, Multiple positive solutions for a fractional Kirchhoff type equation with logarithmic and singular nonlinearities
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1a4ef456-1a53-4922-8fb4-9dba44808c18 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8f29350d-a171-4ebf-aaec-c394b3e2a70b · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2c5e09a2-f7bf-4cec-86e3-55886b82cbe1 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations L¨ u, Ground states of a Kirchhoff equation with the potential on the lattice graphs
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cfd19060-fd08-40b3-ad02-8fb8fc883d4b · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ef293b1d-4f42-4b93-bf0f-fb66f7e620d0 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Ouaziz, Abdesslam and A
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bf57cd97-b705-41bd-b12b-9588609695c1 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2df6f2ae-1ab0-4377-aa8b-d0db4a8f2f50 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 97608607-6f60-4daf-a562-a79bfbde24d3 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 847eb1e6-2433-41e6-ab40-c0406d04e9e7 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 32ac1ca8-5659-43a2-a60e-2dfbf651c51b · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Shuai, Existence and multiplicity of solutions for logarithmic Schr¨ odinger equations with potential
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5794648c-7d68-4784-bb2d-bc4a0dfef29f · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f01165d8-b248-4ada-bde9-897f311f64e8 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wang, Solutions to discrete fractional Schr¨ odinger equations
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bc689855-7424-4fdf-8c94-0e329ffb2e76 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wang, A class of p-Laplacian equations on lattice graphs
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c415c6a-dbeb-410b-8419-e3ad6f0e68e1 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3cd5a2f0-03d8-4eed-8e66-98f0b4f02c3e · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Fractional logarithmic Schr\"{o}dinger equations on lattice graphs
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bd70fbd6-26b9-46f9-93d6-8ff99532ed55 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wang, Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 35ba20f3-fb86-4051-9721-e2b93e3a2edc · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Eigenvalue estimates for the fractional Laplacian on lattice subgraphs
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca70113b-7b82-45e3-bcdd-c4354bdf5446 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 368f19ec-f01d-4268-8448-8c617f346092 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d94fb814-47c6-4291-b7bc-86c0cfb1254f · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Wu, Infinitely many positive multi-bump solutions for fractional Kirchhoff equations
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0895bea5-a74f-4ada-8db5-9831c6ff6943 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Xiang, D
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a6d27eb4-a267-488b-b081-a5acec587f6f · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4438a391-89c9-4142-afed-1dd765df2833 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0225fda5-f791-472a-8f88-a9f479342147 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 00abcedb-ebb0-478c-8e97-0a7a8cb10b99 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Zhang, X
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a32a24fa-5f52-45e2-931b-8c501f6d6214 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Fractional Laplace operator and related Schr\"odinger equations on locally finite graphs
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 038d6901-388a-411e-bad1-2726af87c213 · outbound
Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations Zloshchastiev, Logarithmic nonlinearity in theories of quantum gravity: origin of time and observational con- sequences
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.