Paper Citation Record · LEDGER

The fractional Porous Medium Equation on graphs

As of 21 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 3 inbound Pith citation observations for arXiv:2606.23360.

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

pith.paper-citation-record.v1
2606.23360 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:37:05.923164Z

measured 51 of 51 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:27.692023Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

48 of 48 outbound references displayed

verified exact1
verified fuzzy0
unresolved47
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c6e7b238-24cb-4eb4-a9f7-35c9b7a395fa · outbound

This paper cites Bénilan, M.G.

The fractional Porous Medium Equation on graphs Bénilan, M.G

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7bd4666b-f5bb-443f-baff-8d32c69d2b50 · outbound

This paper cites Nonlinear evolution equations governed by accretive operators.

The fractional Porous Medium Equation on graphs Nonlinear evolution equations governed by accretive operators

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation ab4c0bfe-ca3d-4198-9f5c-b1ac88656761 · outbound

This paper cites Berchio, D.

The fractional Porous Medium Equation on graphs Berchio, D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation 65b73ba7-dda8-490e-9eba-a671308b2a3b · outbound

This paper cites Berchio, M.

The fractional Porous Medium Equation on graphs Berchio, M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

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Observation c7c299de-1d83-4b31-aaea-6d5ef289c2df · outbound

This paper cites Berchio, M.

The fractional Porous Medium Equation on graphs Berchio, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation 0ce55e99-b84c-4c5f-93e9-d6271531e3b7 · outbound

This paper cites Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs.

The fractional Porous Medium Equation on graphs Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:49:50.747039Z

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 026f9fc4-16ce-43c8-a882-e7556880c4ad · outbound

This paper cites Bianchi, A.

The fractional Porous Medium Equation on graphs Bianchi, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

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Observation e461a007-6655-4794-9a29-e73f6be005a7 · outbound

This paper cites Bonforte, J.

The fractional Porous Medium Equation on graphs Bonforte, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation 0654d0a4-ec9e-447d-91b6-e404d254245c · outbound

This paper cites Bonforte, A.

The fractional Porous Medium Equation on graphs Bonforte, A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ef36d09-355e-4c57-a45c-57527359d943 · outbound

This paper cites Bonforte, A.

The fractional Porous Medium Equation on graphs Bonforte, A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

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Observation 8e839035-358e-4e7b-9543-fc4446e88d53 · outbound

This paper cites Bonforte, Y.

The fractional Porous Medium Equation on graphs Bonforte, Y

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64c3f1d7-966c-45d3-b0f4-0518c296cfc6 · outbound

This paper cites Bonforte, J.L.

The fractional Porous Medium Equation on graphs Bonforte, J.L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47afe4d8-c5ff-4782-b7b3-1b9ea8f46515 · outbound

This paper cites Bonforte, J.L.

The fractional Porous Medium Equation on graphs Bonforte, J.L

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 383a7677-ae07-47af-b529-d18409965ba6 · outbound

This paper cites Bonforte, J.L.

The fractional Porous Medium Equation on graphs Bonforte, J.L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fc5dd3-d88d-427f-8234-bcfcba4b2706 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation ab71a629-eaf2-4a40-995c-016f41fc13d1 · outbound

This paper cites Cowling, S.

The fractional Porous Medium Equation on graphs Cowling, S

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation ead23748-9a55-4913-b3b5-30dc46efee09 · outbound

This paper cites Crandall, M.

The fractional Porous Medium Equation on graphs Crandall, M

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation c910f63e-64df-49f3-bd50-21acd8ada920 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation 67b3bb4d-d2d2-4b9d-b34e-24a9d117a934 · outbound

This paper cites Grigor’yan and A.

The fractional Porous Medium Equation on graphs Grigor’yan and A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

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Observation bf78368b-12dc-4fab-8625-cb27c3fa9aa2 · outbound

This paper cites Grillo, G.

The fractional Porous Medium Equation on graphs Grillo, G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation d3bf9385-7688-492b-a2e6-3f8c5e5b2eb2 · outbound

This paper cites Grillo, D.D.

The fractional Porous Medium Equation on graphs Grillo, D.D

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation 209228b1-4203-4b12-9771-ade0057509cd · outbound

This paper cites Grillo, M.

The fractional Porous Medium Equation on graphs Grillo, M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Observation 04c45549-41fa-452c-b1a1-432106434c14 · outbound

This paper cites Grillo, M.

The fractional Porous Medium Equation on graphs Grillo, M

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

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Observation 7ae842f5-9c98-41d8-be0f-6895db2b1e22 · outbound

This paper cites Grillo, M.

The fractional Porous Medium Equation on graphs Grillo, M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c63793c2-389e-4ef5-975f-cb41270906d3 · outbound

This paper cites Grillo, M.

The fractional Porous Medium Equation on graphs Grillo, M

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c41e7e95-cadd-4c61-a936-9e6051c88e4f · outbound

This paper cites Grillo, M.

The fractional Porous Medium Equation on graphs Grillo, M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 298539a5-d212-4e15-bf68-fc28f11ea7c0 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edaf62c4-1d58-408e-8941-ee9f97b8802f · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1eef17f4-4520-4ac8-b125-fa1283df4f58 · outbound

This paper cites Pseudo Differential Operators and Markov Processes.

The fractional Porous Medium Equation on graphs Pseudo Differential Operators and Markov Processes

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 189d2976-6d98-42fa-a784-fe0fb9146fa8 · outbound

This paper cites Pseudo Differential Operators and Markov Processes.

The fractional Porous Medium Equation on graphs Pseudo Differential Operators and Markov Processes

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a287c34a-c580-4027-8976-7e9bcec14496 · outbound

This paper cites Kräss, R.

The fractional Porous Medium Equation on graphs Kräss, R

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation e570f821-70ad-4faf-b967-946837a10879 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5a8fdff-76dc-4dcb-b12a-16c8c58dd53a · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation a9d516c6-bcfd-4edb-9b17-69214cb492e2 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75f077e7-4d59-4337-a951-6afdac43b62c · outbound

This paper cites Ma,Porous media equation on locally finite graphs, Arch.

The fractional Porous Medium Equation on graphs Ma,Porous media equation on locally finite graphs, Arch

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation 1d517973-0e73-404a-a56b-07855acfd5f4 · outbound

This paper cites Monticelli, F.

The fractional Porous Medium Equation on graphs Monticelli, F

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Unavailable: canonical work link unavailable.

Observation 9081383f-ff63-4bbc-a22b-1f2c804ac146 · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20506258-7882-4b48-a158-969ab66d9e72 · outbound

This paper cites Punzo, A.

The fractional Porous Medium Equation on graphs Punzo, A

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3514622-f8d8-459c-b85a-9bf9b496287b · outbound

This paper cites Rose,Off-diagonal Upper Heat Kernel Bounds on Graphs with Unbounded Geometry, Indag.

The fractional Porous Medium Equation on graphs Rose,Off-diagonal Upper Heat Kernel Bounds on Graphs with Unbounded Geometry, Indag

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12346653-9dc6-4918-bd18-e02dd4101b5d · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f2850e0-15fe-45f8-8667-41c7845624ea · outbound

This paper cites The Porous Medium Equation. Mathematical Theory.

The fractional Porous Medium Equation on graphs The Porous Medium Equation. Mathematical Theory

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24bfb7df-4349-4c7b-8eb4-0263ed0198e2 · outbound

This paper cites Vázquez,Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type, J.

The fractional Porous Medium Equation on graphs Vázquez,Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type, J

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6330395d-62df-4554-995c-54ff966c9e3c · outbound

This paper cites Vázquez,Fundamental solution and long time behaviour of the porous medium equation in hyperbolic space, J.

The fractional Porous Medium Equation on graphs Vázquez,Fundamental solution and long time behaviour of the porous medium equation in hyperbolic space, J

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3039cddb-bd65-46a0-9a17-0b65b978f503 · outbound

This paper cites von Criegern,Nonexistence results for a general class of parabolic problems with a potential on weighted graphs, NoDEA Nonlinear Differential Equations Appl.

The fractional Porous Medium Equation on graphs von Criegern,Nonexistence results for a general class of parabolic problems with a potential on weighted graphs, NoDEA Nonlinear Differential Equations Appl

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a387813d-4f0a-4b9f-9aa6-45dac3ddc74b · outbound

This paper cites Yosida,Functional Analysis, Classics in Mathematics, Springer-Verlag, Berlin, 1980.

The fractional Porous Medium Equation on graphs Yosida,Functional Analysis, Classics in Mathematics, Springer-Verlag, Berlin, 1980

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51407ff6-d3f1-4147-b9b5-d32e87dcf0db · outbound

This paper cites an unresolved cited work.

The fractional Porous Medium Equation on graphs Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ee86e54-92b6-42a4-a5c5-9255d9a3aea0 · outbound

This paper cites Wojciechowski,Heat kernel and essential spectrum of infinite graphs, Indiana Univ.

The fractional Porous Medium Equation on graphs Wojciechowski,Heat kernel and essential spectrum of infinite graphs, Indiana Univ

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dcc4171-ddca-4716-82fe-3618c294a95b · outbound

This paper cites Giuseppe Luigi Lagrange.

The fractional Porous Medium Equation on graphs Giuseppe Luigi Lagrange

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-26T07:37:05.923164Z

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Pith citing papers

Observation db89d95b-b948-429a-a25a-94d318d0f3b5 · inbound

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs cites this paper.

On the accretivity and m-accretivity of Laplacians and porous medium-type operators on graphs The fractional Porous Medium Equation on graphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T01:39:43.400940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c30e007-0ac1-4ec9-bed1-3937e6df780e · inbound

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation cites this paper.

The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation The fractional Porous Medium Equation on graphs

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-01T03:53:42.066770Z

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 370daed7-6c98-4642-af09-dc0d46de4382 · inbound

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs cites this paper.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The fractional Porous Medium Equation on graphs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:27.692023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.