Paper Citation Record · LEDGER

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs

As of 21 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2507.22552.

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

pith.paper-citation-record.v1
2507.22552 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:44:04.923319Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

42 of 42 outbound references displayed

verified exact3
verified fuzzy19
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d807e3e-11b1-4263-a32c-2315e99fb1e9 · outbound

This paper cites Alves, M.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Alves, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.685832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 13a86908-92ed-42b7-a5b4-315e0194160b · outbound

This paper cites Alves, M.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Alves, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.669395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6384ec6-705f-4214-8cd2-fd3197268aaf · outbound

This paper cites Ghimenti, J.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Ghimenti, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.652058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 330844a2-ccf1-4f73-861f-83051035a208 · outbound

This paper cites Grigor’yan, Y.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Grigor’yan, Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.634458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9d995f5-cc37-4b52-9faf-5a3aec28d950 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.611333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 33d777c4-ad39-4313-a867-7dc0872ba54f · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:02.651306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc48184-5fd9-447f-a09d-09dc00f16cb9 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.573078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a3471018-3a29-4b26-ab77-8079f5844f1a · outbound

This paper cites The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:44:05.098957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f9e03934-c1b5-45f3-b224-a50a0ec62de5 · outbound

This paper cites Li, The existence of positive ground state solutions for the Choquard type equation on groups of polynomial growth.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Li, The existence of positive ground state solutions for the Choquard type equation on groups of polynomial growth

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.556435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation df181776-26b8-4ca1-a8ad-3b8703193817 · outbound

This paper cites Lizama, L.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Lizama, L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.537400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4f0e7122-f675-48f5-86ec-5d3bb47d53dd · outbound

This paper cites Liang, S.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Liang, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.522130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 438ffce6-620a-40d6-b281-3ee94e4722e1 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.504671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81563f90-69cd-4f93-b290-c095e5f1e461 · outbound

This paper cites Liu, The positive solution for the nonlinear p-Laplacian Choquard equation on lattice graphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Liu, The positive solution for the nonlinear p-Laplacian Choquard equation on lattice graphs

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.490338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 106b8290-ff30-4577-8679-ff5645320ff6 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.475285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 27992f29-52ff-410c-a88f-71cc27ce7733 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.460775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ab04ae41-6b28-47e4-8b1f-0bbcbfefd7fd · outbound

This paper cites L¨ u, Existence and concentration of solutions for a nonlinear Choquard equation.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs L¨ u, Existence and concentration of solutions for a nonlinear Choquard equation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.446607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c197356e-4bdf-47aa-b73a-c081a97070bd · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.432289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2f8e3641-cdf9-4861-95c8-676e0ef3b388 · outbound

This paper cites Michelitsch, B.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Michelitsch, B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.416989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d90b00e1-86b8-4ae6-8cce-fae26986aa6f · outbound

This paper cites Moroz, J.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Moroz, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.399367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5d23f8d-3707-4129-9ab3-50355ac01de0 · outbound

This paper cites Moroz, J.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Moroz, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.383775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8a1ffc3b-9c8e-44ce-b278-d70161a49c3e · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.366264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e3b8fca3-a8a2-4305-90a0-4f6a61fa110f · outbound

This paper cites Sakuma, Infinitely many solutions for p-fractional Choquard type equations involving general nonlocal nonlinear- ities with critical growth via the concentration compactness method.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Sakuma, Infinitely many solutions for p-fractional Choquard type equations involving general nonlocal nonlinear- ities with critical growth via the concentration compactness method

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.347997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d490b328-b45c-4402-a4d7-817a95f55533 · outbound

This paper cites Shang, Existence and concentration of positive solutions for a p-fractional Choquard equation.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Shang, Existence and concentration of positive solutions for a p-fractional Choquard equation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.331934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0974fc88-45a5-4355-bdd7-ee25d7528470 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.829637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 094381ff-562a-4c5a-8912-c6b4f38b6941 · outbound

This paper cites Eigenvalue estimates for the fractional Laplacian on lattice subgraphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Eigenvalue estimates for the fractional Laplacian on lattice subgraphs

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.834513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bc56e0f-3ae1-471b-a16f-4233d110192e · outbound

This paper cites Wang, The ground state solutions to discrete nonlinear Choquard equations with Hardy weights.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, The ground state solutions to discrete nonlinear Choquard equations with Hardy weights

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.301644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 670c1c8e-de28-402a-8f2c-d700929b6b5f · outbound

This paper cites Wang, The ground state solutions of discrete nonlinear Schr¨ odinger equations with Hardy weights.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, The ground state solutions of discrete nonlinear Schr¨ odinger equations with Hardy weights

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.283391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d0ec0cf-2667-4d27-b870-9ebadd7c230c · outbound

This paper cites Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.851696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29f50f6b-6911-486c-b436-cb4dac3afcce · outbound

This paper cites Wang, A class of p-Laplacian equations on lattice graphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, A class of p-Laplacian equations on lattice graphs

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.858673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 755761ba-e839-4131-ba4d-b82e0439a157 · outbound

This paper cites Wang, Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, Sign-changing solutions to discrete nonlinear logarithmic Kirchhoff equations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.865275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87b08868-3b4b-4663-bbfc-d9b4a2d696b4 · outbound

This paper cites Wang, Solutions to discrete fractional Schr¨ odinger equations.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, Solutions to discrete fractional Schr¨ odinger equations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.230590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bf978e27-1475-48b8-8684-de3cdee1c5e4 · outbound

This paper cites Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Wang, Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.875059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9587eb55-2bf3-438e-8ecb-1b9ec3ef1861 · outbound

This paper cites p-Laplacian equations with general Choquard nonlinearity on lattice graphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs p-Laplacian equations with general Choquard nonlinearity on lattice graphs

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:44:05.049098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d53fd715-3702-41f3-b362-cb750c5425cc · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.215245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 55feb69f-6c0e-41dd-bd90-98319e83fb8c · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.194182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6f94a3d5-53d9-46bf-bd78-79da19dd80a5 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.178865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f328afea-cce4-4731-8484-7202da2e2045 · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.899543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 061e12fa-ef6d-45b6-8df8-a68511f33dc8 · outbound

This paper cites Fractional Laplace operator and related Schr\"odinger equations on locally finite graphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Fractional Laplace operator and related Schr\"odinger equations on locally finite graphs

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T11:44:04.903710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 830c235c-47fa-4321-ba79-0a88a03c565a · outbound

This paper cites Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:44:04.997963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b867e1de-81d7-41f3-a90c-64631ecc6cce · outbound

This paper cites Zhang, X.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Zhang, X

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.149478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8ad7c69e-969a-405c-97f3-f0401025bdbb · outbound

This paper cites Zhang, S.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Zhang, S

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:44:05.132426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c9ae2923-ff50-4454-a2ef-1dec314223ee · outbound

This paper cites an unresolved cited work.

Positive solutions to fractional $p$-Laplacian Choquard equation on lattice graphs Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:44:05.114833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.