Paper Citation Record · LEDGER

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations

As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2507.17381.

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

pith.paper-citation-record.v1
2507.17381 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:02:03.916530Z

measured 39 of 39 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

39 of 39 outbound references displayed

verified exact1
verified fuzzy11
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f756d67-b600-4967-a8af-7eb2e1268aa0 · outbound

This paper cites an unresolved cited work.

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.278340Z

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 8566cfb8-fe65-4226-8e37-3101c6c6ca5d · outbound

This paper cites W., Markfelder, S., & Titi, E.

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.269504Z

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 7bc3db9e-42fe-43bb-81c4-fe0c725e27b0 · outbound

This paper cites W., Markfelder, S., & Titi, E.

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.260900Z

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 b509ad13-852a-4347-966f-253e6d87e033 · outbound

This paper cites an unresolved cited work.

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.252370Z

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 d65bd2fe-8c74-47a0-be2a-d28851524cb1 · outbound

This paper cites R., Spiegel, E.

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.244285Z

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 801c379c-201e-44da-ad8b-1916dd32cd6f · outbound

This paper cites an unresolved cited work.

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.236490Z

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 a9b08c18-55b3-436e-8916-163a37c0799b · outbound

This paper cites an unresolved cited work.

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.228480Z

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 d90e2951-20a3-4b5d-a3ec-2537aab872fd · outbound

This paper cites an unresolved cited work.

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.220438Z

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 5266b36d-4e4a-45c8-8ea6-d12979569b5f · outbound

This paper cites an unresolved cited work.

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.211904Z

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 4986a183-ae16-4c75-ac5c-6593dae297a2 · outbound

This paper cites E., & Masmoudi, N.

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.203741Z

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 b225a2f2-ed60-40ac-971f-c477dc88dbef · outbound

This paper cites E., & Masmoudi, N.

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.195473Z

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 3babdb5a-9a41-4be2-8bd2-3d77c58dc36e · outbound

This paper cites E., Ibrahim, S.

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.187796Z

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 0918d86b-13a7-4ad3-8106-da0ce6803b95 · outbound

This paper cites , & Lin, Q.Y.

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.179320Z

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 ca7c1258-efb7-40de-b299-7ca91608ce9d · outbound

This paper cites an unresolved cited work.

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.171682Z

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 868f2b0a-f523-4690-9b79-e2a9d09adf32 · outbound

This paper cites an unresolved cited work.

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.163969Z

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 c154287f-43f7-4d80-875e-f17a92cf19d3 · outbound

This paper cites an unresolved cited work.

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.155561Z

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 4f1f358f-d3ee-43f0-a454-3bd47926fa12 · outbound

This paper cites an unresolved cited work.

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.147653Z

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 67fe6351-5122-49df-b71e-57ec03afa44a · outbound

This paper cites an unresolved cited work.

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.139948Z

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 48c6b1b9-aee8-4fbc-8308-77f6eea4dbc3 · outbound

This paper cites an unresolved cited work.

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.131830Z

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 27b97493-eaf9-421e-9a6b-480abdce26d7 · outbound

This paper cites an unresolved cited work.

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.123661Z

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 71bcb175-445c-4258-b02d-213901004826 · outbound

This paper cites an unresolved cited work.

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.115317Z

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 efb3ccfa-0253-4cd2-b88a-696496d03fa8 · outbound

This paper cites Finite time blow-up in a 1D model of the incompressible porous media equation.

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T15:02:03.964260Z

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 a69b22e6-1e0c-4d37-bb90-4ee18fc86908 · outbound

This paper cites an unresolved cited work.

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.107115Z

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 d0a70014-c94f-4a3d-b01a-2bb12fdeaa67 · outbound

This paper cites an unresolved cited work.

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.098377Z

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 67c72825-02a3-42a2-980c-d1a16411606c · outbound

This paper cites C., & Ziane, M.

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.089957Z

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 8060bfef-ae28-42e9-82de-1cae02cf5fdc · outbound

This paper cites The van Dommelen and Shen singularity in the Prandtl equations.

Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations The van Dommelen and Shen singularity in the Prandtl equations

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.081834Z

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 b1083e42-22df-4e01-8029-4479aab8ab38 · outbound

This paper cites Recent Advances Concerning Certain Class of Geophysical Flows.

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:02:03.951320Z

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 6624fe75-3599-427f-8e2c-e84034597250 · outbound

This paper cites S., Wong, T.

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.073147Z

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 a20899bf-a034-4bd7-8749-8fd2889f5159 · outbound

This paper cites an unresolved cited work.

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.064930Z

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 facdb4a1-692d-44b1-a5a6-867a207b6715 · outbound

This paper cites A., & Bejan, A.

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:02:04.056599Z

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 275ec8a1-57a4-4f19-bd06-f1c0ef4e16bb · outbound

This paper cites an unresolved cited work.

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.048117Z

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 29b97289-b09e-4885-b282-acce8e39dcbc · outbound

This paper cites an unresolved cited work.

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.039091Z

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 c476b93d-cbdf-4f40-804f-71f284c9c07d · outbound

This paper cites an unresolved cited work.

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.030893Z

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 a965a6a7-4975-4166-ab9e-d11999fb61f9 · outbound

This paper cites an unresolved cited work.

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.021748Z

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 ff4e68f1-8520-4935-9db4-5d1691c27bc4 · outbound

This paper cites an unresolved cited work.

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.012307Z

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 df04da07-18fb-4753-8a28-5bb35eb7598a · outbound

This paper cites an unresolved cited work.

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:04.002219Z

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 a5a694e6-dc68-47c1-bff5-e99654986562 · outbound

This paper cites an unresolved cited work.

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:03.992633Z

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 2403694b-fafe-455d-8559-508c08f8bb71 · outbound

This paper cites an unresolved cited work.

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:03.983015Z

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 dfb79cc1-26c8-4ece-83a6-524377fee87f · outbound

This paper cites an unresolved cited work.

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:02:03.973486Z

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.