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Paper Citation Record · LEDGER

A PDE Model for Janus Particle Swarming

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2504.16243.

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

pith.paper-citation-record.v1
2504.16243 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:14:40.556187Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

40 of 40 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 270b0d43-a46e-46d2-b64a-f0cf77ac6579 · outbound

This paper cites This is apparent in the 0 ⇡ 10 2⇡ 10 3⇡ 10 4⇡ 10 ⇡ 2 FIG.

A PDE Model for Janus Particle Swarming This is apparent in the 0 ⇡ 10 2⇡ 10 3⇡ 10 4⇡ 10 ⇡ 2 FIG

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e05057c9-0fa3-451b-bdcf-6f37eb0936e6 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.995097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b48874d3-6e16-43db-9fe2-de29bf877306 · outbound

This paper cites This results in the two density maps for active versus inac- tive particle densities, seen in figure 4.

A PDE Model for Janus Particle Swarming This results in the two density maps for active versus inac- tive particle densities, seen in figure 4

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3e7c88c0-051b-4149-b397-3253d1e68d08 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.970516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2c8bc6f7-0140-48c9-8707-3c40840b6c66 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.957006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 236a5aae-a44d-4e8b-af69-c312d281eb8f · outbound

This paper cites Again, taking cross-sections through the annulus’ center of mass shows the structure quite clearly.

A PDE Model for Janus Particle Swarming Again, taking cross-sections through the annulus’ center of mass shows the structure quite clearly

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.944961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c6df37ca-fc27-4e42-9602-3075c9079a89 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.932836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 1a403f52-b35e-4e46-a8c8-ace9c2b2bd8f · outbound

This paper cites In figure 7 (A), we first examine the pattern for- mation for a fixed threshold and varying vision angle, α.

A PDE Model for Janus Particle Swarming In figure 7 (A), we first examine the pattern for- mation for a fixed threshold and varying vision angle, α

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.921130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation ac6fcba2-55c2-41ab-bad7-30fd78ac0bf1 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.908809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 969d2ed1-4488-48d1-bf90-cff7957a2739 · outbound

This paper cites Vicsek, A.

A PDE Model for Janus Particle Swarming Vicsek, A

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T11:14:40.342633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d9e58d85-ece0-4702-ac88-72c3f1111ab7 · outbound

This paper cites Cucker and S.

A PDE Model for Janus Particle Swarming Cucker and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.891006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 306f1249-78e3-4d66-8ef9-833b0a671e98 · outbound

This paper cites van Drongelen, A.

A PDE Model for Janus Particle Swarming van Drongelen, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.880510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 27d57a33-cdad-4dcf-8a35-aa152e6a87d1 · outbound

This paper cites Huth and C.

A PDE Model for Janus Particle Swarming Huth and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.870457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 647b51a7-fbaa-405f-a716-0005d8ad90a3 · outbound

This paper cites Shinchi, T.

A PDE Model for Janus Particle Swarming Shinchi, T

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 3d3d5288-986b-42b1-a9a5-f5c0ecb9e632 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.849772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6111932c-f5a1-4c56-8354-231e4a47d62c · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.839963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8e2becbc-c870-4857-aedc-94b51c01a508 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.830045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8539ab7e-a597-4eba-b83f-c15b9b8bf8b9 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.820101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 2edeb3a9-23ca-43eb-8a34-0c039f0d75ff · outbound

This paper cites Volkening and B.

A PDE Model for Janus Particle Swarming Volkening and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.809652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation d945a5c2-af07-4806-8331-d425592ded4c · outbound

This paper cites Volkening and B.

A PDE Model for Janus Particle Swarming Volkening and B

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.799800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.375306Z digest=sha256:f761d13d99a2654d5a2b1e2c68edfe1eebeb89fc76fd9dfbc873e4d8b21ac004

Observation 009349f2-ae2f-4190-a11f-b09e7a9ef293 · outbound

This paper cites Volkening, M.

A PDE Model for Janus Particle Swarming Volkening, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.790302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 16d1dbc5-1cf6-4f6f-9027-f1ff041eabf8 · outbound

This paper cites Chen and T.

A PDE Model for Janus Particle Swarming Chen and T

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.780496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation a1697e7f-20a4-45fd-87ea-4305e9c3b7e1 · outbound

This paper cites Helbing, P.

A PDE Model for Janus Particle Swarming Helbing, P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.769913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation bcc01137-8e4a-450a-863f-110bc11a0a2b · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.759988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 36715709-3aec-4ec8-880d-07967823ee79 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.750219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation c33107e3-760c-4e17-839c-4c133a506822 · outbound

This paper cites Motsch and E.

A PDE Model for Janus Particle Swarming Motsch and E

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.740684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 29289369-9ccb-49e6-842c-ea6d2cf1732b · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.730786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 751bfdf6-39b0-4529-97bb-fb5d07f822a8 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.720291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 933d8ced-9988-4b16-b62d-c905581f49e1 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.709201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation e8b15da4-d86e-4960-af90-f438bf4d2543 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.698312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.409823Z digest=sha256:aea99c1b99c2ba49a5e1bf9723380f70cfe35da4582e22d08fff72e7165e9c4a

Observation f5f3f771-2339-40e1-8dee-40d901e954b6 · outbound

This paper cites Mogilner and L.

A PDE Model for Janus Particle Swarming Mogilner and L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.686232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.413028Z digest=sha256:05db176c8714842734c82073d3c93702efcd8241a6297cdf1c0477f2fff04652

Observation c80ad125-0b4d-4cb1-ba00-542ad3e7550a · outbound

This paper cites Kolokolnikov, H.

A PDE Model for Janus Particle Swarming Kolokolnikov, H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.674531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.416318Z digest=sha256:bbf001d64dcc6c8061a953219f629ee4f444d0669f810229195d8080554c0eac

Observation c24de4bb-d849-4a62-a4ee-1baac784096b · outbound

This paper cites Eftimie, Hyperbolic and kinetic models for self- organized biological aggregations and movement: a brief review, Journal of mathematical biology 65, 35 (2012).

A PDE Model for Janus Particle Swarming Eftimie, Hyperbolic and kinetic models for self- organized biological aggregations and movement: a brief review, Journal of mathematical biology 65, 35 (2012)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.663606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.419746Z digest=sha256:699e9da53397e8f5354016b38815b4dd2a4c347aa552ee03504cda9831384a98

Observation 69dbdeb3-a690-450c-9705-a013acb529a0 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.650643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.423088Z digest=sha256:356e1f224288fe730345e82462f7874422770b401ad9ba691ab4c1838c3d2688

Observation d437b366-2993-4d5a-9710-8e038e289055 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.638923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.426437Z digest=sha256:f7b8871c604809863b45107ab1a4bdfff6002524da1a86748fe0a732ef363795

Observation df29e983-196c-416d-9cf0-c13a7bdcc8e6 · outbound

This paper cites Chaturapruek, J.

A PDE Model for Janus Particle Swarming Chaturapruek, J

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-16T11:14:40.429683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:14:40.429683Z digest=sha256:2bcfdaaf0e4ddd144f163d26cf91ffbe424c16ea732a47cf9f7d4ed3a1918d59

Observation 16eb3b39-81e4-4638-bc5b-c6afff53a731 · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.628022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.545331Z digest=sha256:bc553b1af9dae9c7f4df75ea91f6cfac91c8757a4cf8eff078970bc12ef2e06c

Observation 518d996c-0b89-4cad-be46-29864f5d0084 · outbound

This paper cites Degond and S.

A PDE Model for Janus Particle Swarming Degond and S

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:14:40.616857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.549483Z digest=sha256:0a2d3bdca96d2b79cf9a6d4ce986fe9377a1904d5f38c80ac3000dc1e41b0d74

Observation aeeee600-d2fe-4ea3-a917-f11eebf29ade · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.606007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.552894Z digest=sha256:880df726a2d304b3c27af7aeec9d5ecb77c587c81e735b61c6918d8ba809cb76

Observation 27ec8b1d-3e58-4bc1-99e5-2eabe8b52b1d · outbound

This paper cites an unresolved cited work.

A PDE Model for Janus Particle Swarming Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:14:40.594758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-16T11:14:40.556187Z digest=sha256:3d6090f40fb83b8fbad49cfb04c2546b6b7404cf650839d00a0cfc1a67920918

Pith citing papers

No inbound Pith citation observations are available.