{"as_of":"2026-08-13T19:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f08442563daa92203b5c25fd07af97ed3d9d4ce80ec660ae8c158db7deaddf43","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:39:02.149690Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2507.07956/citation-record","integrity":"/paper/2507.07956/integrity","json":"/paper/2507.07956/citation-record.json","paper":"/paper/2507.07956"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:39:15.543249Z","title":"For γ > 0, the communities exhibit seven diﬀerent possible dynamics: (i) The incoherent state with r1 =r2 = 0","venue":null,"work_id":"dba3e663-cf62-4a3b-88bc-b17dd22744f6","year":null},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.352494Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:e7d7c9c06bf32ad0f7497b2f980cfdbe4ca97fded71f7df01f11f06086d44cd3","observation_id":"5adc52b5-1ef7-43bd-bfdf-ef38433dab72","resolution":{"observed_at":"2026-08-06T18:39:15.618635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:15.322425Z","title":null,"venue":null,"work_id":"a57b9e8e-0459-4316-b9c7-a86f3a2f8935","year":null},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.403072Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:25d1e0b824f29eecb0e8573e1122e05d8cc9568d49c725f886db7126a0189864","observation_id":"2e6618ac-b881-4462-8717-6ad02c8ad04a","resolution":{"observed_at":"2026-08-06T18:39:15.431000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:15.091360Z","title":"This is not apparent in Fig","venue":null,"work_id":"9b64d5e0-cecb-4055-855c-42b91021b00a","year":null},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.466741Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:94e63a84c200276d6b1eea0bcfe71f07db758e22f716b106890e81102a7f798b","observation_id":"36cf4af6-5217-47cb-842d-5a7656929373","resolution":{"observed_at":"2026-08-06T18:39:15.206361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:14.955392Z","title":null,"venue":null,"work_id":"66c82ee1-51e5-488b-8ab4-ea5d27167b32","year":2015},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.557625Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:e7d3003e778e3342da700ee9aa0e76935fbc559138e80079f1d63510e8d9dae6","observation_id":"3d369f92-8739-4514-8f43-f9ffe760b95d","resolution":{"observed_at":"2026-08-06T18:39:15.012799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:14.720249Z","title":"Petri, P","venue":null,"work_id":"fd3023f6-3eef-428f-a2de-9a1cd37da5f7","year":2014},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.644265Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:cfad38822a555f2fc930f322878ed9691b952ab8743bb36b655181c175ac169c","observation_id":"8c46f0e8-8362-42d1-abc1-2ffacd77041e","resolution":{"observed_at":"2026-08-06T18:39:14.853453Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:14.484935Z","title":null,"venue":null,"work_id":"3f99a78c-da63-464a-b656-c46b488e8ddc","year":2009},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.736921Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:0da7da43dc722b6a040d850fa50c4ef80b2a2060dc31f9c6ec4dbd5fde816a16","observation_id":"50363c9c-1b6b-4153-9950-84c14abaf7df","resolution":{"observed_at":"2026-08-06T18:39:14.593415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:14.216099Z","title":null,"venue":null,"work_id":"d645f86f-a224-44e9-8dd9-fb512b148494","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.897092Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:692fc6a140cf55ce520906018944133e042cb90723d3a5dadee7267de4f746fd","observation_id":"2be22534-0c63-453c-81f2-20e524d31a6e","resolution":{"observed_at":"2026-08-06T18:39:14.331201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:13.954686Z","title":null,"venue":null,"work_id":"e70e0dc0-7c3a-4365-be9c-03e0562daa2d","year":1994},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:56.977810Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:50750a41c1ee386b68328e7e395e5264f1d5f4c29f6e5a5198c3ce5166b00382","observation_id":"8d770a7e-b9c1-49bc-9d86-b509e456e433","resolution":{"observed_at":"2026-08-06T18:39:14.085090Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:13.753108Z","title":null,"venue":null,"work_id":"b06b7df8-d85c-4e80-9094-44e9cc50efa7","year":2005},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.119397Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:73d958b4eda99377f7594fa8aaf599de6940305fbb6bda36afb6fa64b2da271e","observation_id":"4579a66d-de0d-4849-a1e3-3f923768909f","resolution":{"observed_at":"2026-08-06T18:39:13.847463Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:13.513061Z","title":"Fujino, B","venue":null,"work_id":"4d789873-05d8-40d4-add4-2258996e24da","year":1993},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.181056Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:5140cc5f208934cba58dc6cf63dc86a9db3cf4dba85cc03f9edb0e6c21ceff45","observation_id":"5e5a954a-a683-47c1-bcfb-542b21b575c6","resolution":{"observed_at":"2026-08-06T18:39:13.631859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:13.284776Z","title":"Rohden, M","venue":null,"work_id":"cbc2f0d2-45f4-463a-83ed-0e33692c473e","year":2012},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.270927Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:19e7307df810b28783fd67e2ee29be79643a1be23b9966bb02b71c8e754ee6ef","observation_id":"94d047d6-1193-48a4-84ce-dee3bf6fc269","resolution":{"observed_at":"2026-08-06T18:39:13.399377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:13.075541Z","title":"Sarfati, J","venue":null,"work_id":"06dec36c-9b28-4009-a186-a99d1610c89a","year":2020},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.343526Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:fa4881d919e74dcc88c8d2ae14a9a696195a4f51b7f9298b8db2e7151b6910f4","observation_id":"671c928a-0e37-4219-8012-ae7b40c8b87e","resolution":{"observed_at":"2026-08-06T18:39:13.170883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:12.868027Z","title":"Buck and E","venue":null,"work_id":"cb35ed3f-6168-453d-9302-3f53dcc3c48d","year":1966},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.450387Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:eb7d679ad581b7176d87e35f7e2f65f8866a8413d8c3cbeb61bffed0f08e28c4","observation_id":"3e91f473-f898-405b-acd8-019637de81b3","resolution":{"observed_at":"2026-08-06T18:39:12.973040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:12.610245Z","title":"D¨ orﬂer, M","venue":null,"work_id":"15928da3-3c97-4b47-b3ed-93780e71b150","year":2012},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.557843Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:aa8d3a06c597c87be4b5ce86cfc73081cdeca28cf49954cf1306fa2c104f1180","observation_id":"a05c8270-e7d0-4f37-a5b6-a1b4cc8c9b43","resolution":{"observed_at":"2026-08-06T18:39:12.720341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:12.379310Z","title":null,"venue":null,"work_id":"48a6d740-d9d5-4047-a597-d8b46b157df9","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.733285Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:3650402140b6894ac3243dd4ef7cceaaa5b6480a3e190b19e8ede09d79d1a09c","observation_id":"11a84543-4970-46a6-972d-0897388997c2","resolution":{"observed_at":"2026-08-06T18:39:12.490245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:12.207218Z","title":"Wiesenfeld, P","venue":null,"work_id":"b9cfd153-650e-4f9e-8ddf-db71f18f12f9","year":1996},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.847807Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:71b5db7ea76a3c7e4f5b4081477e3890590e6f3d97bdce3b2985bb5dfc28b5a3","observation_id":"88d933f4-4d36-453f-9ea7-ef60b5ac34f2","resolution":{"observed_at":"2026-08-06T18:39:12.296215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:11.972415Z","title":"Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, in International sympo- sium on mathematical problems in theoretical physics (Springer, 1975) pp","venue":null,"work_id":"89b4d997-cd04-4f82-bb7a-5ef79359735c","year":1975},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:57.972119Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:d82f60a2b8e49618905aca4dcc38c5412f480ec5252d5f6946a25b4eedc18104","observation_id":"ff6f0386-b975-46fe-99ed-91b7c9569fb2","resolution":{"observed_at":"2026-08-06T18:39:12.075759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:11.787897Z","title":"Sakaguchi and Y","venue":null,"work_id":"b1b80bdc-4f51-4ff8-961c-8a90de7298d3","year":1986},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.070326Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:85cb3b611843122e1e79bdbde8832462de73be7c2bb08569bef209b011b4779c","observation_id":"72fa9eb2-0296-4e3c-83d2-a26a0c0f46fa","resolution":{"observed_at":"2026-08-06T18:39:11.890821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:11.580688Z","title":null,"venue":null,"work_id":"8c4814cf-c397-406e-8c06-45c2e3d4527b","year":2018},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.179242Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:8500b15a7e3561f0a332967fc04f39affdda37a92ef8afeb9a060d5153fb98f4","observation_id":"31e70e0a-0526-417d-81a2-5413d32a6d76","resolution":{"observed_at":"2026-08-06T18:39:11.673198Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:11.388322Z","title":"Gibbs, S","venue":null,"work_id":"a7e0cad4-e15f-46af-8fcb-c1082d145c9d","year":2022},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.309224Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:5de021f691f076ee3b23f0fbee1dff5d2067b41872ee6bb0e614d70dff4e7397","observation_id":"5bac2f71-e964-459a-a979-d929671cda5f","resolution":{"observed_at":"2026-08-06T18:39:11.479197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:11.193501Z","title":"Ashwin and A","venue":null,"work_id":"4c0e1ed5-3fa6-420d-a861-eb77b1208c6b","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.425414Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:2f90952872e1cf0b463e9adfaa1ef6a65b4dc7c2ae66c8069add6d4f35f6c558","observation_id":"2df8b84e-575d-4722-bfe2-1124a56af127","resolution":{"observed_at":"2026-08-06T18:39:11.284024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:10.857777Z","title":"Le´ on and D","venue":null,"work_id":"4a788fe0-6be3-438a-ba64-ee87cc02b382","year":2019},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.575487Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:845edfe0da94490fe271074bb53d4a3ad3af5bdb2317256ab92f7003c6b70272","observation_id":"a57d2599-d03b-4873-85dd-bfbf545d0766","resolution":{"observed_at":"2026-08-06T18:39:11.059889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:08.146912Z","title":null,"venue":null,"work_id":"ceedba38-f39e-4c0b-ad13-4b40db480ec6","year":2019},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.725468Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:6cf643afb3701a0d8d5415d8f61fa262c3a450c4f3ba785c0d0d1cbe9405f9e5","observation_id":"a2356c9f-4234-4d29-9321-a83e018c2563","resolution":{"observed_at":"2026-08-06T18:39:10.230214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:07.786913Z","title":null,"venue":null,"work_id":"83756bbd-767e-4e1e-b2b4-e3e9250de4b0","year":2020},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.834077Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:a353e42ffcf7d9719f0cca50b5abaabf55f686a88d1ea986e63b878d83926325","observation_id":"f55bbb42-8a23-4455-87ee-2a138005001f","resolution":{"observed_at":"2026-08-06T18:39:07.908955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:07.514865Z","title":"Adhikari, J","venue":null,"work_id":"be6ddc05-f662-4497-b6cf-d1be5ffe3161","year":2023},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:58.943939Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:0b2bb739d548ea8bb41ae0212a6455e944f21879b61314f1cd61e02e74934a49","observation_id":"556d0fad-6436-4baf-8e38-ca9077da1c38","resolution":{"observed_at":"2026-08-06T18:39:07.636193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:07.246294Z","title":null,"venue":null,"work_id":"0543a666-11ab-44a5-85ca-1424473fa12d","year":2020},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.055220Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:dc40d7c13cb7810d0df80f5694187cb907d61935c435546cd8f8f70bce0cf1fa","observation_id":"5f4b7655-6895-42f6-ad22-000ebc0b5129","resolution":{"observed_at":"2026-08-06T18:39:07.371510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:07.020500Z","title":null,"venue":null,"work_id":"788516f5-7b1b-4458-9ef7-16bc2d5bf660","year":2012},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.173393Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:2422ebfe25a8b884a29c158e1d2f2f8bc5821dab6158554d772123450704ff75","observation_id":"2f2dd5b2-1453-4e8f-a64f-3d0e46ef197e","resolution":{"observed_at":"2026-08-06T18:39:07.132839Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:06.754747Z","title":null,"venue":null,"work_id":"4899708b-aa0f-4828-8b8c-eb4ec07aa38a","year":2015},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.284415Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:01ed1808b39dba5176022c915c01f9d63b5e2b6e7d9639566abfcda73ac67b4d","observation_id":"5fc04a39-9312-4cb7-ae9b-14eba639cb75","resolution":{"observed_at":"2026-08-06T18:39:06.880570Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:06.531260Z","title":null,"venue":null,"work_id":"bedc215b-e17f-44ad-9ac4-b2a16d0dee53","year":2004},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.458449Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:66a487d72c948964b952add4027be5214fc11c0fc1680597cb1e25b09bcb5bbd","observation_id":"4f547dab-2a78-474b-b1ec-89863dccfa89","resolution":{"observed_at":"2026-08-06T18:39:06.641884Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:06.326479Z","title":null,"venue":null,"work_id":"7a944f90-cb82-408c-bb7a-7ece72376240","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.597345Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:29ff749e2352deca8975acf51c01fc5a28a7ae5014fbc4f897965f0cf5b7ea73","observation_id":"85dd24f7-4bdc-4df8-ba6c-c99aaa5c732e","resolution":{"observed_at":"2026-08-06T18:39:06.422525Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:06.095963Z","title":null,"venue":null,"work_id":"92727b5f-b707-4699-b240-bdf5f3f887c6","year":2018},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.694381Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:57fbe896c0349a9ea2f1b6f9ed7f02a6f350df9e8bca41c0d45c482f6b2b8893","observation_id":"131885d4-6aa7-4e88-b686-def5ff45ffc8","resolution":{"observed_at":"2026-08-06T18:39:06.203313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:05.857188Z","title":"Dutta, A","venue":null,"work_id":"22966794-624e-48f1-85c2-af5652bc5a8a","year":2023},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T18:38:59.850940Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:5345b23467710915e02c434e1ff288afed3eccd91d48c987689e243b1f35bbd1","observation_id":"4a838e8c-107b-483f-9006-b6961eaab590","resolution":{"observed_at":"2026-08-06T18:39:05.984552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.01640","last_updated":"2025-07-02T12:11:54Z","snapshot_observed_at":"2026-08-13T13:51:36.838378Z","submitted_at":"2025-07-02T12:11:54Z","title":"Effect of phase-lag on synchronization in adaptive multilayer networks with higher-order interactions","version":1},"cited_work":{"arxiv_id":"2507.01640","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.01640","snapshot_observed_at":"2026-08-06T18:39:02.313733Z","title":"Effect of phase-lag on synchronization in adaptive multilayer networks with higher-order interactions","venue":"nlin.AO","work_id":"9f832b4e-491f-40f7-9cf4-92834152fd0b","year":2025},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.009085Z"},"links":{"cited_paper":"/paper/2507.01640","citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:46ad3f18996840966d9508b4da553e42af36deb1977679d3d0aedd6a20af66e5","observation_id":"d055477c-52e2-4858-be42-e9beeab91080","resolution":{"observed_at":"2026-08-06T18:39:02.404876Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:05.609895Z","title":null,"venue":null,"work_id":"48f4d593-1760-46f4-b239-60001e95817b","year":2023},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.144076Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:878dbe98281af770774794cb12df98b4ad4c5db0df328bd6580ad818e2f1b502","observation_id":"f5113672-8b6e-4a95-a095-e655e131aedd","resolution":{"observed_at":"2026-08-06T18:39:05.737273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:05.344016Z","title":"Ott and T","venue":null,"work_id":"cda8cf8e-a361-414d-8fe7-d563046248c4","year":2008},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.268746Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:25277b6da98b40a9e9efe539d99b5281bdece8f2cbd4986aaacad85a3d5ec7e5","observation_id":"c963ee57-f7c7-4d4d-974a-116a62de6f59","resolution":{"observed_at":"2026-08-06T18:39:05.489717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:05.107371Z","title":null,"venue":null,"work_id":"ce284ea9-b86a-44e4-be75-6cc8e591515a","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.497692Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:281aced8254876829253fd009a769f0b93d13aa21140320f1b5a68080d3f5279","observation_id":"a5a2ff7f-811e-489a-98fb-c5ccf711936c","resolution":{"observed_at":"2026-08-06T18:39:05.209073Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:04.830266Z","title":null,"venue":null,"work_id":"27d6dcb2-e13b-4d06-ba0c-a3ed035ff929","year":2008},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.633089Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:fbe600cd5701d488c4e0b657f3608555862525bf17c3a8d58d75fda6d212a573","observation_id":"85f343fb-8e1e-4cb4-a1c2-237196684906","resolution":{"observed_at":"2026-08-06T18:39:04.955295Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:04.498176Z","title":null,"venue":null,"work_id":"72d32faa-bf6e-45a1-86c6-ef174acc5129","year":2011},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.780127Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:2e3fa036966047fb6806c0baf6c9a58a7f61150d6fe583c31b8c0d45d702df19","observation_id":"7f2a61de-2ee9-4566-8b27-a436a6c943e4","resolution":{"observed_at":"2026-08-06T18:39:04.627039Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:04.299849Z","title":"Geist, U","venue":null,"work_id":"94c9fedd-a888-4633-930f-4927a8530a74","year":1990},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:00.942657Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:7b83515f4e926dfcddec1609a59158926a12c701babe87e6fb0667aa4fe35bfc","observation_id":"50dd2d7c-0c89-4df0-82db-d3967bb2a6b2","resolution":{"observed_at":"2026-08-06T18:39:04.379329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:04.147300Z","title":"Benettin, L","venue":null,"work_id":"984afadf-b61b-4111-84e8-4b71998ad3cc","year":1980},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.066605Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:ed383752959181833d6fedaa8e95483fb2d5e24b4f3672ea075bbcc56e6c4f4f","observation_id":"2d74eb13-dc73-442a-944a-6674091c59e3","resolution":{"observed_at":"2026-08-06T18:39:04.215834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:03.944120Z","title":"Frederickson, J","venue":null,"work_id":"7a5a09fa-1293-4831-a89a-06184e56b7d8","year":1983},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.207408Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:f8227ce0276da1870564c352b57bf0a793dfaaa2104880dbc48766d7319acab6","observation_id":"2d742309-eec1-4708-966a-c77d4bb054cb","resolution":{"observed_at":"2026-08-06T18:39:04.058122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:03.695650Z","title":null,"venue":null,"work_id":"1956f1a2-9791-4ba0-b867-3192da18438e","year":2017},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.377527Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:ecaa454b7eccde37cd31c92a582866fd3f3608bf9ddeeb2563fa9595335a7daf","observation_id":"ffb40c43-9092-48e0-ab4b-c319a5688aac","resolution":{"observed_at":"2026-08-06T18:39:03.831819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:03.406222Z","title":"Nishikawa and A","venue":null,"work_id":"4f18edc2-3492-4187-9f94-6e1be2905fef","year":2015},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.524958Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:403b2c12ad8452115efc59f94d1265718183ab9a334b376b66d5fd4e145beb8d","observation_id":"8af76bd7-8424-4c11-8143-90caa6d98f54","resolution":{"observed_at":"2026-08-06T18:39:03.533384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:01.632273Z","title":"Ott, Chaos in Dynamical Systems , 2nd ed","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.632273Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:0e814cd5a6f86a9df7f9d27f09ece605831135c4e161a2a19cfcd3f48cde87e9","observation_id":"9c3086a4-60e6-4f9a-9581-a6d748339365","resolution":{"observed_at":"2026-08-06T18:39:01.632273Z","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":"2026-08-06T18:39:03.201487Z","title":null,"venue":null,"work_id":"a525c243-dff9-45bb-be3a-efc0fd4c2721","year":2018},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.738873Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:88d34744b9a6ccdc4c6a7e91bf9aefb4a0b3a6aceb366e6f64cbdad985f2428b","observation_id":"569e2217-33a1-44af-9cb9-285f9f01f6f6","resolution":{"observed_at":"2026-08-06T18:39:03.266711Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:03.020248Z","title":"Eichhorn, S","venue":null,"work_id":"fdb35ef1-cfb5-47fe-a0cb-5373c35b4aa2","year":2001},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:01.849025Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:809b4f0b9d483a903a07da2a7e30026af7718e93b5f03506b86a302c43f1a235","observation_id":"6a83e3e0-32fb-43ad-8922-0add1dee9f9b","resolution":{"observed_at":"2026-08-06T18:39:03.123051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:02.775699Z","title":"Pikovsky and A","venue":null,"work_id":"7ccd25d2-c19a-4621-806c-f940ce373dc9","year":2016},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:02.000363Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:dcfee82220ed66c614e281f63163b403e29ac616f9a4f4a07589ea2769fbc253","observation_id":"d41c8f77-b2ca-451c-bf12-ee41b06c5570","resolution":{"observed_at":"2026-08-06T18:39:02.901026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T18:39:02.517776Z","title":"Wiesenfeld, P","venue":null,"work_id":"d26d68d5-9777-4752-9b0f-14f370db7f26","year":1998},"citing_paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T18:39:02.149690Z"},"links":{"citing_paper":"/paper/2507.07956"},"observation_digest":"sha256:feaa586b29e82a1bcedd60cc4708ab1be6cf609691ffc291cc539fb9b07f960c","observation_id":"05e6075f-d0dd-4a16-ba8a-3c353c48b950","resolution":{"observed_at":"2026-08-06T18:39:02.633595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.07956","last_updated":"2025-07-10T17:40:01Z","latest_version":1,"primary_category":"nlin.AO","snapshot_observed_at":"2026-08-13T07:57:36.261290Z","submitted_at":"2025-07-10T17:40:01Z","title":"Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":1,"verified_fuzzy":24},"total_outbound_references":48},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2507.07956."}