Paper Citation Record · LEDGER

Nonlocal gradient, the nonlocal Laplacian and maximum principles

As of 19 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2607.13161.

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

pith.paper-citation-record.v1
2607.13161 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:12:29.453638Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

51 of 51 outbound references displayed

verified exact1
verified fuzzy0
unresolved50
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 366f0752-3e9c-4709-814b-f50da33f79a5 · outbound

This paper cites Abantangelo, S.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Abantangelo, S

Reference 1

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Observation cec59fbb-c79e-454a-922d-308848439cc3 · outbound

This paper cites Acosta and J.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Acosta and J

Reference 2

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Observation d318bc36-5197-46ab-ac39-8869edf275a3 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 3

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Observation 2a375f25-d7d6-4c0c-8413-19c0a6354100 · outbound

This paper cites Almi, et al.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Almi, et al

Reference 4

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Observation d91e4296-c8f6-4d06-b1dd-b56b0a76cb21 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 5

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Observation ae612830-e232-4756-bdfb-1f2d34edc3a4 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 6

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Observation 9582b6cc-d5ae-4c40-a646-2b47d52454d1 · outbound

This paper cites Bellido, J.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Bellido, J

Reference 7

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Observation 9d5bcdb3-c89e-4ac5-aa0e-b264528044e1 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 8

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Observation 44c64195-7ef8-4c67-8da2-0c63090b1c9c · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:25.974506Z

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Observation 46ee7192-616d-49a4-8e94-55a828c91f8b · outbound

This paper cites Bellido, J.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Bellido, J

Reference 10

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Observation 3179b019-5432-4386-8db1-b093b48a6699 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 11

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Observation c0888d38-36ab-41c6-a175-9c14c271de09 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 12

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Observation 5dde9b19-5ad2-45ce-a5cd-b4177ddb55c5 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 13

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Observation 59ab45f6-7434-4c50-a989-19f390293af9 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:26.477378Z

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Observation 90bef969-2f1e-4057-8013-585832ed90d8 · outbound

This paper cites Bonito, J.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Bonito, J

Reference 15

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Observation 7bae7461-0a42-4374-9bc5-eeda3ba75e5b · outbound

This paper cites Borthagaray and N.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Borthagaray and N

Reference 16

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Observation 13357874-1fff-48e3-9059-552e3e0e1846 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:26.742424Z

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Observation 420092d1-3dd8-40d5-afac-bb714eac34ba · outbound

This paper cites Campos and J.F.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Campos and J.F

Reference 18

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Observation 849120f2-3cec-4186-bea8-838390890d03 · outbound

This paper cites Campos and J.F.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Campos and J.F

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:26.926088Z

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Observation cc9d3188-6e52-4a02-a93d-a299d11ec342 · outbound

This paper cites Campos and J.F.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Campos and J.F

Reference 20

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Observation 45c1c0f5-4b21-4dc8-bd26-deedb305a434 · outbound

This paper cites Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:27.211032Z

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Observation 6808b156-281f-4a3a-a6a6-16c7eb278ad4 · outbound

This paper cites Carrero, A.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Carrero, A

Reference 22

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Observation c1baf4de-e74c-495b-bf19-8ea1539a4110 · outbound

This paper cites Caffarelli and L.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Caffarelli and L

Reference 23

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Observation fb067d68-3445-437c-9a0d-aca1286eec5f · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:27.582275Z

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Observation 631eefe6-beb8-41d5-9043-c3a3e054bf92 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Cueto, C

Reference 25

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Observation 8003907e-60e9-422a-abbc-885269877d76 · outbound

This paper cites Cueto, C.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Cueto, C

Reference 26

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Observation c549c201-2430-4773-9aab-7dbfb8e59538 · outbound

This paper cites Localization for nonlocal gradient-based optimal control problems.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Localization for nonlocal gradient-based optimal control problems

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:27.789678Z

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Observation 473e881b-ac22-456b-b23b-60f08c6b38cd · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles D’Elia and M

Reference 28

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Observation 948c9705-b6fa-4656-b961-49060204c7b3 · outbound

This paper cites D’Elia, M.

Nonlocal gradient, the nonlocal Laplacian and maximum principles D’Elia, M

Reference 29

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Observation 774b9160-825e-4b28-9db7-b9e72b0bde5f · outbound

This paper cites Du.Nonlocal Modelling, Analysis, and Computa- tion.SIAM.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Du.Nonlocal Modelling, Analysis, and Computa- tion.SIAM

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c74826a5-2ac4-429e-9b6b-449acf71646c · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 31

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Observation 37ef9def-6f10-4e99-9753-6498548531fe · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 32

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Observation 9d44efae-1ec1-4298-8fc8-e793d623ddc2 · outbound

This paper cites Fernández-Real and X.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Fernández-Real and X

Reference 33

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Observation 52fc80a0-416d-4f26-a9a1-c852904a44c6 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 34

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Observation 2e48293f-6155-4a11-a4e4-2f53f3b38c78 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Gambera, S.A

Reference 35

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Observation be176f2e-85b2-4232-8d02-3ee27f083f14 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles García-Sáez

Reference 36

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Observation b6e60e71-207d-419d-9c69-f73a9c944a08 · outbound

This paper cites Grafakos.Classical Fourier Analysis.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Grafakos.Classical Fourier Analysis

Reference 37

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Observation 50368447-1d92-42e6-88e4-45fdd6c17726 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Kreisbeck and H

Reference 38

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Observation fcbee96d-b8e9-4147-9853-fe5ae15fcd39 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Kassmann

Reference 39

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Observation 05068c93-3278-4441-9a99-7f619540040f · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Kassmann, M

Reference 40

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Kreisbeck and H

Reference 41

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Observation 9f02b693-4c76-458d-99f8-b26e7f109fa0 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Kwaśnicki

Reference 42

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Observation 263ab136-93dd-4268-9976-8ab9bbaec92b · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Mengesha and D

Reference 43

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Observation 06756e65-7d21-4fab-85e8-de9ccc81c0a4 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Ros-Oton and J

Reference 44

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Observation 3ef1d7ac-0220-41ca-9d6b-7079ce3caaf5 · outbound

This paper cites Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey,Publ.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey,Publ

Reference 45

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Observation cdcb4535-f98c-4747-a163-11f3506c40b5 · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Schikorra, T

Reference 46

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Shieh and D.E

Reference 47

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Observation fc96c089-5ffa-41d6-a5e2-74e0a28bd452 · outbound

This paper cites Shieh and D.E.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Shieh and D.E

Reference 48

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Observation 3d826e7a-b5e5-49a5-b8f9-fac45cc516e9 · outbound

This paper cites Šilhavý, Fractional vector analysis based on invariance requirements (critique of coordinate approaches),Contin.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Šilhavý, Fractional vector analysis based on invariance requirements (critique of coordinate approaches),Contin

Reference 49

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Observation ab62480f-5c0f-4082-afaf-ddd9deeb8fc9 · outbound

This paper cites an unresolved cited work.

Nonlocal gradient, the nonlocal Laplacian and maximum principles Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T06:12:29.451320Z

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Observation d806078e-fa0a-4c52-b2a4-2e09494d763b · outbound

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Nonlocal gradient, the nonlocal Laplacian and maximum principles Servadei and E

Reference 51

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