Paper Citation Record · LEDGER

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium

As of 11 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2608.05617.

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

pith.paper-citation-record.v1
2608.05617 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:34:52.675988Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

44 of 44 outbound references displayed

verified exact4
verified fuzzy15
unresolved24
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64c32f02-917c-4416-80b1-6605fc05ca35 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.163347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4e83a87a-2bc0-44e8-a17e-85e24e1a0273 · outbound

This paper cites Wu, H.-Y.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Wu, H.-Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.154626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0d538e26-24dc-45aa-a0e5-bafcd10a8935 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.145765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0f5cfb04-ab3b-4288-a591-f8803b94ffb3 · outbound

This paper cites Frisch,Turbulence, paperback ed.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Frisch,Turbulence, paperback ed

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.136842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation be19226e-6b1b-437e-a317-31d6ab069ea6 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.127848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bff98529-5d89-4feb-a7b8-c7cd9fe2b872 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.561289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db34d3e7-3e9d-4f97-9768-e9b39d06472b · outbound

This paper cites Loop Equation and Area Law in Turbulence.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Loop Equation and Area Law in Turbulence

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.564593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46a54236-517d-4c10-afea-687d3263f7fc · outbound

This paper cites Universal Area Law in Turbulence.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Universal Area Law in Turbulence

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.567995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a68759a2-eb6d-45e7-b286-ad59403f1fcb · outbound

This paper cites Umeki, Journal of the Physical Society of Japan62, 3788 (1993).

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Umeki, Journal of the Physical Society of Japan62, 3788 (1993)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.113416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6be2a86a-e6d3-4ae4-9e4b-fbd0fcbc1435 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.104195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1698ed7d-0e73-4b95-b806-ae5d7e6c47ce · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.094252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b29690dc-cc3a-423c-91f4-cf5d85a142b8 · outbound

This paper cites Zhu, J.-H.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Zhu, J.-H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.085343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7a1078f1-98a5-445f-9a3d-c4bf5b8d331c · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.076502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e541fb6a-7263-4df4-803e-0c2961729de5 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.067333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b123fa6-7232-4f50-ae23-2ae6a25b7afc · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.058371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 95679519-334c-4b39-8065-20ab82d69e3b · outbound

This paper cites Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.593018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bab318d-c194-48d8-81fb-6131a133f8cc · outbound

This paper cites Kolmogorov, Akademiia Nauk SSSR Doklady30, 301 (1941).

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Kolmogorov, Akademiia Nauk SSSR Doklady30, 301 (1941)

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.596281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25e813a4-8cdd-48ec-b7b1-fe306954abd7 · outbound

This paper cites Frisch, P.-L.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Frisch, P.-L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.043863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7412e9fc-ff22-4f22-8c27-dd7e0666c844 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:53.034861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b344806c-f549-4ae7-80ac-dd4cdc0a30f4 · outbound

This paper cites Benzi, G.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Benzi, G

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.605115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbbfee01-3685-4a43-a3bd-ba6daf0b0ff2 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.608087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f38699c-f89b-4410-9769-8bf2a7b62dfd · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-08T05:34:52.704292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 67975b26-621f-4fee-a32f-73b24995d7a0 · outbound

This paper cites Meneveau and K.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Meneveau and K

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.014750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 47c137b8-1215-45ce-a136-bf9c1d167ca9 · outbound

This paper cites She and E.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium She and E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:53.006120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6bdc73fa-2455-4dcc-b921-1f61aec1bbf2 · outbound

This paper cites Yakhot, Physical Review E63, 026307 (2001).

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Yakhot, Physical Review E63, 026307 (2001)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.997628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f13303d2-894d-4f29-a5fd-4d172e2d91aa · outbound

This paper cites Biferale, G.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Biferale, G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.988602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c20a1e2-e09c-4b23-8874-f6dcfef32dd3 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.978956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b744e64a-2f06-48c9-ae32-cc45023b0bd5 · outbound

This paper cites Grossmann, D.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Grossmann, D

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.969808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4586e3f1-b6f6-4a91-99d0-ab950dccbbc0 · outbound

This paper cites Boffetta, A.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Boffetta, A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.960577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6b230f50-7a4c-4f8c-b4d6-50c1c52484db · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.951665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 60a23172-df75-4893-a0ed-6ab68e99cf03 · outbound

This paper cites Xie and J.-H.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Xie and J.-H

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-08T05:34:52.822601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8200bb33-e491-498e-a194-2e12d2314b39 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.942537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2ac38354-f430-45d4-8fb9-f4c661cda146 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-08T05:34:52.643022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae72a005-e98b-428f-87c4-ccc5bef9b265 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.928375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9795dc91-8289-49e2-934e-2186690789c8 · outbound

This paper cites Gorce and E.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Gorce and E

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.919523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4276e881-a761-4f1a-b1d4-27a24e313120 · outbound

This paper cites Dallas, S.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Dallas, S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.910895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9d1daeef-1c18-42b3-9719-ded6aedbe1ec · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.902219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b56c973a-1c88-45c4-b706-cef6b734a3f2 · outbound

This paper cites Scaling Index $\alpha = \frac{1}{2}$ In Turbulent Area Law.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Scaling Index $\alpha = \frac{1}{2}$ In Turbulent Area Law

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-08T05:34:52.730921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 699e05f7-aed6-469e-9edc-3b1f78eb9f4d · outbound

This paper cites Two-dimensional turbulent condensates without bottom drag.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Two-dimensional turbulent condensates without bottom drag

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-08T05:34:52.718260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8145b1b4-e5d9-40a6-9bf4-81991ccd4a18 · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.892952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c335bebd-9972-4828-996c-2050d69a858f · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 41

Resolution: malformed identifier; raw_fallback, observed 2026-08-08T05:34:52.884309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c396884a-b8a6-4cf5-9a73-46594dc4248b · outbound

This paper cites an unresolved cited work.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:52.875424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8c016726-1fee-4c7b-9cec-d2f5a586d313 · outbound

This paper cites Gauthier, M.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Gauthier, M

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.866535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e2cdf813-fa3d-4ccf-af5b-63da2bbfc4fd · outbound

This paper cites Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium.

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:52.857684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.