{"as_of":"2026-08-09T16:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6d8742e350d5f55a9f5c16e210e3f28111b1a5fbaf1e54777c138b9ee97a40bd","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T05:34:52.675988Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.05617/citation-record","integrity":"/paper/2608.05617/integrity","json":"/paper/2608.05617/citation-record.json","paper":"/paper/2608.05617"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.160315Z","title":null,"venue":null,"work_id":"21e709d2-e266-4e36-981c-c901bcd3bac6","year":1989},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.544507Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:dbfdc39d5d9a531f7f4354e26687a764a03335091bf60d1e10ac8a851b28f219","observation_id":"64c32f02-917c-4416-80b1-6605fc05ca35","resolution":{"observed_at":"2026-08-08T05:34:53.163347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.151624Z","title":"Wu, H.-Y","venue":null,"work_id":"6513dc98-39cd-40c4-95e9-3d0bc752290f","year":2015},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.548183Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:f7ab05d8e29830676d46b7c6b58d49a7dea19822e896fc9edef76eacfe971260","observation_id":"4e83a87a-2bc0-44e8-a17e-85e24e1a0273","resolution":{"observed_at":"2026-08-08T05:34:53.154626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.142552Z","title":null,"venue":null,"work_id":"89c6d324-5e95-49a1-a8e6-c9d10335291a","year":2021},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.551408Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:be491bb3d4ffeab74370df0dcf327b60eb0af6f1447edb1a8f886a75a2fb9670","observation_id":"0d538e26-24dc-45aa-a0e5-bafcd10a8935","resolution":{"observed_at":"2026-08-08T05:34:53.145765Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.133596Z","title":"Frisch,Turbulence, paperback ed","venue":null,"work_id":"a540deb7-66e7-4141-b04d-8cbbdd628715","year":1995},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.554693Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:544d8736a6b60fa0b29b6b945f92c6391d3c845ed147905089162e76de523c03","observation_id":"0f5cfb04-ab3b-4288-a591-f8803b94ffb3","resolution":{"observed_at":"2026-08-08T05:34:53.136842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.124814Z","title":null,"venue":null,"work_id":"f0e0eb79-faaf-4959-b061-0f9a6f9286ea","year":2006},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.557997Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:52a652f1a93e0c35671195878f95a20b718f80a9054fbcaede660db67775ce46","observation_id":"be19226e-6b1b-437e-a317-31d6ab069ea6","resolution":{"observed_at":"2026-08-08T05:34:53.127848Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.561289Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.561289Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:47130fbbef7a5e532e297edccaff1de619050a15416823de50e3d1091eb81c8b","observation_id":"bff98529-5d89-4feb-a7b8-c7cd9fe2b872","resolution":{"observed_at":"2026-08-08T05:34:52.561289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9310088","last_updated":"1993-10-14T23:57:42Z","snapshot_observed_at":"2026-07-07T05:04:03.711782Z","submitted_at":"1993-10-14T23:57:42Z","title":"Loop Equation and Area Law in Turbulence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9310088","snapshot_observed_at":"2026-08-08T05:34:52.564593Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.564593Z"},"links":{"cited_paper":"/paper/hep-th/9310088","citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:16af63ad5a91e93fc90a3ca3cc39bac22433afb8b771a3e7a41380b05628b180","observation_id":"db34d3e7-3e9d-4f97-9768-e9b39d06472b","resolution":{"observed_at":"2026-08-08T05:34:52.564593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.08613","last_updated":"2019-04-01T06:02:02Z","snapshot_observed_at":"2026-07-06T07:40:34.934164Z","submitted_at":"2019-03-20T16:54:53Z","title":"Universal Area Law in Turbulence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.08613","snapshot_observed_at":"2026-08-08T05:34:52.567995Z","title":"Migdal, Universal Area Law in Turbulence (2019), arXiv:1903.08613 [hep-th]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.567995Z"},"links":{"cited_paper":"/paper/1903.08613","citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:cdceca0c939966e14c4d22d8ba7ebf4bd6f82081ba480a693dc3bff7c6962369","observation_id":"46a54236-517d-4c10-afea-687d3263f7fc","resolution":{"observed_at":"2026-08-08T05:34:52.567995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.110245Z","title":"Umeki, Journal of the Physical Society of Japan62, 3788 (1993)","venue":null,"work_id":"a9d026c4-6d47-4ab1-911f-242ab0a9ce3c","year":1993},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.571185Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:2ef759eebee5a479f2708986b00e90a9d4edfd49ebc026efedc8732e1c7b6e6e","observation_id":"a68759a2-eb6d-45e7-b286-ad59403f1fcb","resolution":{"observed_at":"2026-08-08T05:34:53.113416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.100913Z","title":null,"venue":null,"work_id":"0b700f99-5adb-42d0-920d-74792afcb2d5","year":1996},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.575355Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:008a5f7d8d0eabe4c5b713317688254dbf8a5e72a030ba110bf8eb4889e335ad","observation_id":"6be2a86a-e6d3-4ae4-9e4b-fbd0fcbc1435","resolution":{"observed_at":"2026-08-08T05:34:53.104195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.091173Z","title":null,"venue":null,"work_id":"9b5133af-67d2-4849-bac1-e8447c6b73fe","year":2019},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.578435Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:532917d7efdf6f21d5b204f1e22e05169350612cb818f419b102eeeab11b4fc6","observation_id":"1698ed7d-0e73-4b95-b806-ae5d7e6c47ce","resolution":{"observed_at":"2026-08-08T05:34:53.094252Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.082175Z","title":"Zhu, J.-H","venue":null,"work_id":"471d59c9-371b-40e5-a606-507bb60258bc","year":2023},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.581401Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:7459d855c2cbd3064988c11762ad3e380da1c654371e0c638e1d49e3941181f4","observation_id":"b29690dc-cc3a-423c-91f4-cf5d85a142b8","resolution":{"observed_at":"2026-08-08T05:34:53.085343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.073165Z","title":null,"venue":null,"work_id":"e01e27de-f22c-4d95-ad5a-46ec38b8e591","year":2021},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.584370Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:189bf9d52ff4895d4253a3bc960d845833209eac91ad0b9c9753fc48ed1d59c4","observation_id":"7a1078f1-98a5-445f-9a3d-c4bf5b8d331c","resolution":{"observed_at":"2026-08-08T05:34:53.076502Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.064233Z","title":null,"venue":null,"work_id":"19d16e68-fc65-4f1e-96a3-875b7fa23e73","year":2021},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.587331Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:64fb26f4ac5004e2f52dd8dec4512c813bfd1a3ed806da386282bf2e359854be","observation_id":"e541fb6a-7263-4df4-803e-0c2961729de5","resolution":{"observed_at":"2026-08-08T05:34:53.067333Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.055282Z","title":null,"venue":null,"work_id":"b7bda33a-912a-4dbb-8c99-32cf6698a90c","year":2024},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.590113Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:e3610212d591f5fcb3ec40f26b3ae9f2d36e3c605a0f6a5ccec0630c9c80740f","observation_id":"7b123fa6-7232-4f50-ae23-2ae6a25b7afc","resolution":{"observed_at":"2026-08-08T05:34:53.058371Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.11047","last_updated":"2025-08-14T20:18:23Z","snapshot_observed_at":"2026-08-05T20:07:52.650487Z","submitted_at":"2025-08-14T20:18:23Z","title":"Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.11047","snapshot_observed_at":"2026-08-08T05:34:52.593018Z","title":"Massaro, S.-H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.593018Z"},"links":{"cited_paper":"/paper/2508.11047","citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:f7e1bc79ac107d3edc5938f6f7a398340451d90e7572705f21f70d916dcfdebb","observation_id":"95679519-334c-4b39-8065-20ab82d69e3b","resolution":{"observed_at":"2026-08-08T05:34:52.593018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.596281Z","title":"Kolmogorov, Akademiia Nauk SSSR Doklady30, 301 (1941)","venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.596281Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:aaf6e4a20cdd75450056ae2c0e91e2b2826c4152846a68c148062e6758899d27","observation_id":"4bab318d-c194-48d8-81fb-6131a133f8cc","resolution":{"observed_at":"2026-08-08T05:34:52.596281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.040720Z","title":"Frisch, P.-L","venue":null,"work_id":"f7d03575-752b-4c42-b51e-7d288a52794d","year":1978},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.599240Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:b3b497c0622202e0afb5d16f3cc2015090fd7ed572cad8d9a4643f9b69a577b4","observation_id":"25e813a4-8cdd-48ec-b7b1-fe306954abd7","resolution":{"observed_at":"2026-08-08T05:34:53.043863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.031457Z","title":null,"venue":null,"work_id":"5906c0ee-299c-4443-80b2-b759e21fab90","year":1974},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.602313Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:acc58d0c34e72d158aaccf32cc092167ad3b87fcacba27d967a7d65c4a425d47","observation_id":"7412e9fc-ff22-4f22-8c27-dd7e0666c844","resolution":{"observed_at":"2026-08-08T05:34:53.034861Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.605115Z","title":"Benzi, G","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.605115Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:00480fbc19444774edd2143a3aff74814cc5e30497f237befe91d8365b432522","observation_id":"b344806c-f549-4ae7-80ac-dd4cdc0a30f4","resolution":{"observed_at":"2026-08-08T05:34:52.605115Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.608087Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.608087Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:a5e2ca3e99361925d1f22bcf9ef1af21328e2271b8a5aa532ffd9bc7933c45fb","observation_id":"bbbfee01-3685-4a43-a3bd-ba6daf0b0ff2","resolution":{"observed_at":"2026-08-08T05:34:52.608087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.97.144504","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.700139Z","title":null,"venue":null,"work_id":"ec386265-f8f0-4a5b-8e7a-54570034324d","year":2006},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.611150Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:86d69166efedc939d40d32733a3398ec57437aacddcc103abb5a67647a1ece0d","observation_id":"4f38699c-f89b-4410-9769-8bf2a7b62dfd","resolution":{"observed_at":"2026-08-08T05:34:52.704292Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.011697Z","title":"Meneveau and K","venue":null,"work_id":"0a280f9e-07ba-4047-b7b8-8068a86b78d0","year":1987},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.614002Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:ca2a596324c16e3948f1898f7bfa21536a2e628a178aa7eb844c8082be981115","observation_id":"67975b26-621f-4fee-a32f-73b24995d7a0","resolution":{"observed_at":"2026-08-08T05:34:53.014750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:53.003108Z","title":"She and E","venue":null,"work_id":"4f930ef0-bcb2-4e0f-be2e-cfe96140cbff","year":1994},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.616883Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:1729ef10bdb466913875fa53b465f1460038cd55a3eef00e9767c3c48f94e36c","observation_id":"47c137b8-1215-45ce-a136-bf9c1d167ca9","resolution":{"observed_at":"2026-08-08T05:34:53.006120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.994570Z","title":"Yakhot, Physical Review E63, 026307 (2001)","venue":null,"work_id":"6549c42d-0321-4a25-b891-c70d8cfeb56a","year":2001},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.619729Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:ebd015e8f39c1d9f3e01a9a0432f2060f7d59bcf54c87c2137e366f321317552","observation_id":"6bdc73fa-2455-4dcc-b921-1f61aec1bbf2","resolution":{"observed_at":"2026-08-08T05:34:52.997628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.985266Z","title":"Biferale, G","venue":null,"work_id":"746a2a32-36e7-4396-8f8f-8f6e6dfb5143","year":2004},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.622581Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:0095366bc6efeb7a7c3df8f0c9ab377aad820c02cb33671cd043de14e0b3a4c4","observation_id":"f13303d2-894d-4f29-a5fd-4d172e2d91aa","resolution":{"observed_at":"2026-08-08T05:34:52.988602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.975776Z","title":null,"venue":null,"work_id":"258cf592-a999-4209-9eec-c6c83e7de2c4","year":1997},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.625396Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:f153d862c6d1b4bb5a0bac0f420607b8a32f208ce175f9fe18b79d79a03701cc","observation_id":"2c20a1e2-e09c-4b23-8874-f6dcfef32dd3","resolution":{"observed_at":"2026-08-08T05:34:52.978956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.966460Z","title":"Grossmann, D","venue":null,"work_id":"42e45b02-c338-44dc-b543-7dc1058f4636","year":1997},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.628433Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:7e797a8b6c7a1fc84368db2d247538a7f820ed3dd6c7c5df323ec2e3cc161620","observation_id":"b744e64a-2f06-48c9-ae32-cc45023b0bd5","resolution":{"observed_at":"2026-08-08T05:34:52.969808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.957450Z","title":"Boffetta, A","venue":null,"work_id":"b2dad23c-5442-4378-bf1c-4f6a8d4544c3","year":2000},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.631336Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:7d24320d75ff082109ec29541d784ed3ff1057d8dcc255476d155a1022688801","observation_id":"4586e3f1-b6f6-4a91-99d0-ab950dccbbc0","resolution":{"observed_at":"2026-08-08T05:34:52.960577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.948517Z","title":null,"venue":null,"work_id":"23855c69-d574-4361-b136-719349b97835","year":2021},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.634231Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:a9024cf70eae5b75e59fd38398f1648e57b070d8b59b0fd503f9f30f90626d94","observation_id":"6b230f50-7a4c-4f8c-b4d6-50c1c52484db","resolution":{"observed_at":"2026-08-08T05:34:52.951665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2504.21512","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.817815Z","title":"Xie and J.-H","venue":null,"work_id":"5b8bee31-94fe-4050-88cb-e684156ad9a6","year":2025},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.637145Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:bebd5ef7a3ae5bae70e49faa39dd34280a88fbce8448f80eeddf7a3b63a9db3b","observation_id":"60a23172-df75-4893-a0ed-6ab68e99cf03","resolution":{"observed_at":"2026-08-08T05:34:52.822601Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.939469Z","title":null,"venue":null,"work_id":"8eef83fe-3b2b-4fbc-bf7c-d61252fe6bc0","year":1951},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.639993Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:1b418e8743702472108dde02f8b2d422c4a96440727950b0e4e12ed01248c8b0","observation_id":"8200bb33-e491-498e-a194-2e12d2314b39","resolution":{"observed_at":"2026-08-08T05:34:52.942537Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.643022Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.643022Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:9527eb91c4911b01cdaba13de47f9710ab7b2482dcda216f9d5aa76bf747f08a","observation_id":"2ac38354-f430-45d4-8fb9-f4c661cda146","resolution":{"observed_at":"2026-08-08T05:34:52.643022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.925383Z","title":null,"venue":null,"work_id":"31d9f9ab-aaf8-4515-a9ee-ebc4b0e0da39","year":1975},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.646061Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:ffb2f861033baae5876459542fd933730a6d53177b961fd762af09a1ed9ccec8","observation_id":"ae72a005-e98b-428f-87c4-ccc5bef9b265","resolution":{"observed_at":"2026-08-08T05:34:52.928375Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.916506Z","title":"Gorce and E","venue":null,"work_id":"f966c622-71c4-47dd-9c55-33a32a51d5b4","year":2022},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.648948Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:1e10db6a2f79649ed62598df37e0f0b8e4c2876eaa516e1d1fa938d5b762db06","observation_id":"9795dc91-8289-49e2-934e-2186690789c8","resolution":{"observed_at":"2026-08-08T05:34:52.919523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.907909Z","title":"Dallas, S","venue":null,"work_id":"de0d5ed2-2a41-4842-98a3-8c76f7c4f249","year":2015},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.651955Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:19d19b29c235fcaf2245711643095dd731c4158cac5e988656be2d3df3ceb242","observation_id":"4276e881-a761-4f1a-b1d4-27a24e313120","resolution":{"observed_at":"2026-08-08T05:34:52.910895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.898870Z","title":null,"venue":null,"work_id":"e666246f-fa1f-4d3d-8877-8811185787b2","year":1973},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.654840Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:ab166db3b2f97bb6a5297b2019d196b387c76f8e4d2d29272c7eaf81e991c692","observation_id":"9d1daeef-1c18-42b3-9719-ded6aedbe1ec","resolution":{"observed_at":"2026-08-08T05:34:52.902219Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.00900","last_updated":"2019-04-06T06:10:41Z","snapshot_observed_at":"2026-07-06T07:43:06.427641Z","submitted_at":"2019-04-01T15:03:59Z","title":"Scaling Index $\\alpha = \\frac{1}{2}$ In Turbulent Area Law","version":2},"cited_work":{"arxiv_id":"1904.00900","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.00900","snapshot_observed_at":"2026-08-08T05:34:52.727480Z","title":"Scaling Index $\\alpha = \\frac{1}{2}$ In Turbulent Area Law","venue":"hep-th","work_id":"f20e9963-c11d-43d3-aabe-7bfc98d07b2b","year":2019},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.657742Z"},"links":{"cited_paper":"/paper/1904.00900","citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:f056e291108fefd042675c0d005ed9623fed30792f46ac6b450e03dff3a72e7e","observation_id":"b56c973a-1c88-45c4-b706-cef6b734a3f2","resolution":{"observed_at":"2026-08-08T05:34:52.730921Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02978","last_updated":"2025-04-03T18:57:43Z","snapshot_observed_at":"2026-08-07T16:10:32.996347Z","submitted_at":"2025-04-03T18:57:43Z","title":"Two-dimensional turbulent condensates without bottom drag","version":1},"cited_work":{"arxiv_id":"2504.02978","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.02978","snapshot_observed_at":"2026-08-08T05:34:52.713741Z","title":"Two-dimensional turbulent condensates without bottom drag","venue":"physics.flu-dyn","work_id":"aa24d87c-ae8d-405a-ab68-5d0794d51edc","year":2025},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.661096Z"},"links":{"cited_paper":"/paper/2504.02978","citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:ca217053391bf094599ab7dcb953a880d2a5b274d57b35285187577b564a522a","observation_id":"699e05f7-aed6-469e-9edc-3b1f78eb9f4d","resolution":{"observed_at":"2026-08-08T05:34:52.718260Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.889933Z","title":null,"venue":null,"work_id":"0ef9f259-7105-48b2-8af9-73615b75c101","year":2021},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.664600Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:24b1f33c6dc23ca7424b0fa08f5632987f0ae23918da4e56e58089c26696fed0","observation_id":"8145b1b4-e5d9-40a6-9bf4-81991ccd4a18","resolution":{"observed_at":"2026-08-08T05:34:52.892952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.881254Z","title":null,"venue":null,"work_id":"777aaa0e-3520-4896-90cd-5e33d6eaa9c6","year":2025},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.667412Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:e467e16854b221079955a0d08074ba399d48054cf2e8126109098a8aaa263a59","observation_id":"c335bebd-9972-4828-996c-2050d69a858f","resolution":{"observed_at":"2026-08-08T05:34:52.884309Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.872404Z","title":null,"venue":null,"work_id":"5ea4b24a-3fea-43de-9f3b-8932515d1c5d","year":1977},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.670207Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:2c8d53f2fcf5538c6759945551cbb522e8bd2b0c416c35cc66f3bfeb5978ca91","observation_id":"c396884a-b8a6-4cf5-9a73-46594dc4248b","resolution":{"observed_at":"2026-08-08T05:34:52.875424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.863526Z","title":"Gauthier, M","venue":null,"work_id":"85f8961e-041d-4251-bc7e-f9d5e47dad5e","year":2019},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.673031Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:3210b554eacbd68d529270fe61a68760f1d4eb95eccb57ca88b69cafd8e8b6ea","observation_id":"8c016726-1fee-4c7b-9cec-d2f5a586d313","resolution":{"observed_at":"2026-08-08T05:34:52.866535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T05:34:52.854418Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","venue":null,"work_id":"dac16692-5d90-44e8-a048-cd468aa93080","year":2025},"citing_paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-08T05:34:52.675988Z"},"links":{"citing_paper":"/paper/2608.05617"},"observation_digest":"sha256:2a20d73816b28f0b8a4fbeec32bb9abee2ac1175800ce17dfb098ea8931e9f32","observation_id":"e2cdf813-fa3d-4ccf-af5b-63da2bbfc4fd","resolution":{"observed_at":"2026-08-08T05:34:52.857684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.05617","last_updated":"2026-08-06T05:29:25Z","latest_version":1,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-09T16:10:57.555342Z","submitted_at":"2026-08-06T05:29:25Z","title":"Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":4,"verified_fuzzy":15},"total_outbound_references":44},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2608.05617."}