Paper Citation Record · LEDGER

Microscopic derivation of a field equation for active Brownian particles

As of 19 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2608.11184.

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

pith.paper-citation-record.v1
2608.11184 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:33:48.459234Z

measured 49 of 49 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

49 of 49 outbound references displayed

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verified fuzzy18
unresolved31
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64ef68b0-b68a-4089-9c58-4d4dacec0106 · outbound

This paper cites Bechinger, R.

Microscopic derivation of a field equation for active Brownian particles Bechinger, R

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T04:33:48.273343Z

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Observation 9ecdd4d8-befd-4f48-886d-d7999c6d2ae2 · outbound

This paper cites Ramaswamy, The mechanics and statistics of active matter, Annual Review of Condensed Matter Physics1, 323 (2010).

Microscopic derivation of a field equation for active Brownian particles Ramaswamy, The mechanics and statistics of active matter, Annual Review of Condensed Matter Physics1, 323 (2010)

Reference 2

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Observation 561f2746-bdef-48af-8a90-76516762ad09 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 3

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Observation 99e221f3-221d-48dd-bfdd-7eedbc5e4e23 · outbound

This paper cites Carr` ere, J.

Microscopic derivation of a field equation for active Brownian particles Carr` ere, J

Reference 4

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Observation b4c930fe-e140-457c-a734-71773a726a67 · outbound

This paper cites Hannezo and C.-P.

Microscopic derivation of a field equation for active Brownian particles Hannezo and C.-P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.939404Z

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This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 6

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Observation 9a398785-4d75-4ee7-974c-8889a9826be6 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.913745Z

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Observation 955e35f8-49a2-43ff-a757-04bedf21d3a4 · outbound

This paper cites Lenormand, A.

Microscopic derivation of a field equation for active Brownian particles Lenormand, A

Reference 8

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Observation 65dbd8d0-e0f8-439f-b676-a13762455b4a · outbound

This paper cites Buttinoni, J.

Microscopic derivation of a field equation for active Brownian particles Buttinoni, J

Reference 9

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 10

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This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 11

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Observation d8556cc3-0a83-45f9-adb1-bc9f697db37c · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.872768Z

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Observation eca9a55a-ac20-40b3-aaf8-3c63974e2fec · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.862158Z

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Observation f7aba1e5-d93e-41da-9e49-90c9c4cf2206 · outbound

This paper cites Fily and M.

Microscopic derivation of a field equation for active Brownian particles Fily and M

Reference 14

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This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 15

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Observation 6bb1ea45-94fb-4e60-a8a6-2da02545da68 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.837904Z

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Observation 5eaf2225-a983-4b3a-b243-8824c90f2dda · outbound

This paper cites Theurkauff, C.

Microscopic derivation of a field equation for active Brownian particles Theurkauff, C

Reference 17

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Observation 219d1538-d50b-4637-98dc-bc49f27084e2 · outbound

This paper cites Stenhammar, D.

Microscopic derivation of a field equation for active Brownian particles Stenhammar, D

Reference 18

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This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.811422Z

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Observation 92b3e911-f839-45e3-98df-93960ac0a072 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 20

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Observation 04ed4fc0-6b15-4e8c-a8e4-e632a57d0113 · outbound

This paper cites Meissner and J.

Microscopic derivation of a field equation for active Brownian particles Meissner and J

Reference 21

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Observation c3821ad5-0c3f-42e7-87a0-d4bd5b8b508d · outbound

This paper cites Tjhung, C.

Microscopic derivation of a field equation for active Brownian particles Tjhung, C

Reference 22

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 23

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Observation 075e2b6b-82e5-4f81-8991-b22e7c096246 · outbound

This paper cites Fausti, E.

Microscopic derivation of a field equation for active Brownian particles Fausti, E

Reference 24

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Observation 40fff8fe-3a23-4b0d-ade9-48727379b6ec · outbound

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.757253Z

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Observation e11599dd-df47-4738-952a-045533be053a · outbound

This paper cites Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation.

Microscopic derivation of a field equation for active Brownian particles Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation

Reference 26

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Observation f39fe768-90ac-47e4-b992-336eacd5e542 · outbound

This paper cites Bickmann and R.

Microscopic derivation of a field equation for active Brownian particles Bickmann and R

Reference 27

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Observation d0e0828b-1a1d-4a6b-ab16-2b8ce78f1a33 · outbound

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 28

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Observation e0e45a7c-d8ce-41e8-99c7-24343e42a166 · outbound

This paper cites Bickmann and R.

Microscopic derivation of a field equation for active Brownian particles Bickmann and R

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.721475Z

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Observation 48b76a8d-13f1-41c9-9b29-0b7656f9cd40 · outbound

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 30

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Observation e52d3094-2de4-4fba-9763-10c150c4ea12 · outbound

This paper cites Langford and A.

Microscopic derivation of a field equation for active Brownian particles Langford and A

Reference 31

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Observation d4b78639-8391-4ca5-b9a8-4a4c539b4d2c · outbound

This paper cites Bruna and S.

Microscopic derivation of a field equation for active Brownian particles Bruna and S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.684802Z

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Observation e30a4421-b182-47d9-9c3c-c78975c858ed · outbound

This paper cites Bruna and S.

Microscopic derivation of a field equation for active Brownian particles Bruna and S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.673157Z

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Observation f4b8888f-c626-478d-bf9d-a0142a489327 · outbound

This paper cites Bruna, M.

Microscopic derivation of a field equation for active Brownian particles Bruna, M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.661651Z

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Observation ea9ec71f-4029-4d66-b983-768fea1dfeb6 · outbound

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 35

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Observation 1c60b8d4-273b-4cd9-b934-c2d90a51cb41 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.643750Z

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Observation c8fcca7e-714b-4d5b-ab18-ebbd223d65ad · outbound

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Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 37

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Observation 2c108f1b-6e3c-447b-aa0f-41088227e7b5 · outbound

This paper cites Chapman and T.

Microscopic derivation of a field equation for active Brownian particles Chapman and T

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.625851Z

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

Observation ee4093a7-8bfd-4451-83b4-870d49bc6e54 · outbound

This paper cites Cercignani,The Boltzmann Equation and Its Applica- tions(Springer New York).

Microscopic derivation of a field equation for active Brownian particles Cercignani,The Boltzmann Equation and Its Applica- tions(Springer New York)

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.615510Z

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

Observation 856d7ede-f364-4a14-bea5-6611d4266fd4 · outbound

This paper cites Pinto-Goldberg and R.

Microscopic derivation of a field equation for active Brownian particles Pinto-Goldberg and R

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.603584Z

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

Observation d1bd77a1-17de-4c88-a2fb-91f3540c2fc4 · outbound

This paper cites Soto,Kinetic Theory and Transport Phenomena(Ox- ford University Press, 2016).

Microscopic derivation of a field equation for active Brownian particles Soto,Kinetic Theory and Transport Phenomena(Ox- ford University Press, 2016)

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.591848Z

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Observation 8f216d1c-7bed-458a-af00-39f6df2200b7 · outbound

This paper cites Henderson, A simple equation of state for hard discs, Molecular Physics30, 971 (1975).

Microscopic derivation of a field equation for active Brownian particles Henderson, A simple equation of state for hard discs, Molecular Physics30, 971 (1975)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.580056Z

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 27fa07f0-3515-48c4-8a41-a57047575ff4 · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.568409Z

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

Observation 3046c3ab-7aee-4bfb-82cf-778e1e981e06 · outbound

This paper cites Digregorio, D.

Microscopic derivation of a field equation for active Brownian particles Digregorio, D

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.556311Z

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 6f411a0d-c283-478a-924d-75bef738b3bf · outbound

This paper cites Levis, J.

Microscopic derivation of a field equation for active Brownian particles Levis, J

Reference 45

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Observation 339f38ab-078d-4c31-8003-349406b8f96e · outbound

This paper cites Gompper, R.

Microscopic derivation of a field equation for active Brownian particles Gompper, R

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.538564Z

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 459da201-1f76-4aeb-b1c8-f05c30647730 · outbound

This paper cites For a field theory such as AMB+ we need to expand up to fourth order in gradients.

Microscopic derivation of a field equation for active Brownian particles For a field theory such as AMB+ we need to expand up to fourth order in gradients

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:33:48.527343Z

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

Observation e9b61737-67f0-4f86-8fbd-da7888d7b6cc · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.515734Z

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

Observation d68405b2-42b6-4b0a-b2ef-c91e485d328d · outbound

This paper cites an unresolved cited work.

Microscopic derivation of a field equation for active Brownian particles Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:33:48.504224Z

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

Pith citing papers

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