{"as_of":"2026-08-13T23:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9b9e3e709450848dfa91f2f961998582b92459b4757e9c209309aa17e5edd54d","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":"2026-08-13T23:02:52.694835Z","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:a0d3e03db9ade10d2af2a66d3fa8c53d4bf1986ed458b7101f99465d9a474eb1","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":"2026-08-13T23:02:52.694835Z","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":"sha256:7c4b91f89f4997b6f4b6017017806c7f1920fdc611c06f92e999290d09baebb8","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":"2026-08-13T23:02:52.694835Z","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:a4410b4f141f3fa53b1c9f1d10e4cbc19beeeab78f7c5cd2aa40dd8a7fc3e067","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":"2026-08-13T23:02:52.694835Z","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":"sha256:2cca952d6d351c45b574201dbcc54916903022c2cb4d8688ebe75f8e2eb93405","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":"2026-08-13T23:02:52.694835Z","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:c11e3080535de19762056a1d3319641918cc16e01734ee806e82dc2b285ae839","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":"2026-08-13T23:02:52.694835Z","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":"sha256:409bc3ae5633185a3fa17006a4f86bd3140f3421c0d7599ebaee8ae08f860c8b","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":"2026-08-13T23:02:52.694835Z","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":"sha256:1836394fa1bc2204627563143f21f03485f7697b4c47e09c79bdcb4477d58a3d","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":"2026-08-13T23:02:52.694835Z","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":"sha256:8311de5fc95abcf5b5fc96699a4436709a78d87e932b707ea11893ead1587268","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":"2026-08-13T23:02:52.694835Z","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":"sha256:9a407227c78742ead5828e31f8285e09bd894390248b043f832e5948cafc3ff2","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":"2026-08-13T23:02:52.694835Z","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":"sha256:056696856f685d41cf2c82197e7ede61a0f58709c6a7b325fa8e8f1cfb0d9dbd","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":"2026-08-13T23:02:52.694835Z","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":"sha256:6aba0067df7d2ae2e3b141d87588932dcf2db8aa0e4c713240af20e3a4ff32dd","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":"2026-08-13T23:02:52.694835Z","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:e2b45cd4c950bb551d931e51237c61af7f93f52978b51479b1f1fbff3442fe7c","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":"2026-08-13T23:02:52.694835Z","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:eff63b3f1ab3fe49a69f0701fb91c3122f3b236afe08a86a24878746bf14c0e1","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":"2026-08-13T23:02:52.694835Z","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":"sha256:4edbbc478de50c43b24df26f2c0cf0683e0b3a078914bc58a4374b46ba3018db","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":"2026-08-13T23:02:52.694835Z","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:b22085b88ec0a19e7b2a76e146edf6cc32898aaae0acfe7fe4f9b9aa1b305289","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":"2026-08-13T23:02:52.694835Z","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":"sha256:2f5dfed44c7272731ceb7e83392366e6397e50f048c2a7202cb372b6d3a06dad","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":"2026-08-13T23:02:52.694835Z","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":"sha256:22092de4a54ae60fcf1bf887bad3290f44a6cefb6646f330396ddf05f64d485b","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":"2026-08-13T23:02:52.694835Z","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:d186d476d20ba88b6683a54e515b913fced99bf65681820d4824725c025eb135","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":"2026-08-13T23:02:52.694835Z","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:edd9479bf1cc3850d9ff4ff5da26f2afa51da76e5fe877490e6807b47963e017","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":"2026-08-13T23:02:52.694835Z","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":"sha256:6d1d37230d9aaa242d9b092866d42dad7823967b24ae480b9be2490ff025c129","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":"2026-08-13T23:02:52.694835Z","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":"sha256:16c28b6b9678399ab8429378716c74b8088750e4e91ccca663d0ccc4c32c9a78","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":"2026-08-13T23:02:52.694835Z","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":"sha256:7dd992108025f5092f39b86fcb63c5976e482ec8f499b20b4f9617b566c8c7d1","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":"2026-08-13T23:02:52.694835Z","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:bbd41eb6eda9ff25c3e054b7546906f9544ecdf2e59960b9e3ffc1930d074975","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":"2026-08-13T23:02:52.694835Z","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:bff4a89344a99b71b836276823905c01f7a837cac5dba4274fad9aabff1b4fde","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":"2026-08-13T23:02:52.694835Z","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":"sha256:2e79b201e00ee209eefc0c793d5b1f8e67fcb368e895d6e6c84dec86a55e7f96","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":"2026-08-13T23:02:52.694835Z","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":"sha256:1bba4727eeec4c6097bbc7a6f12f9f3bf6094f9003433eba29a8d3d1738e311c","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":"2026-08-13T23:02:52.694835Z","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":"sha256:01220f0e81ee40871b65cbc0c02a755e4b7e2c73d49967adc8c381ff28476632","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":"2026-08-13T23:02:52.694835Z","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":"sha256:0dbb3872360855edf0cbc79c4ce3b6acbab95525e884014a607bef313932aa37","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":"2026-08-13T23:02:52.694835Z","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":"sha256:603e0eeabf60e809e4590a3a4bd2b4836c66eb83e3e8d610f9f57c77c1e04213","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":"2026-08-13T23:02:52.694835Z","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":"sha256:12b52c1540758ed175971f4cfd623344743d847dcee87ff39acd01bd3314cff0","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":"2026-08-13T23:02:52.694835Z","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":"sha256:2093f2f2210b19f8e5273a0e3af1aae2cf568017fed11b5234a71aaea979f842","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":"2026-08-13T23:02:52.694835Z","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:cd02e42500eaeb1824dd702a0b4f55558de560f7f1312d3bae0be0b94922b666","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":"2026-08-13T23:02:52.694835Z","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":"sha256:12ed3dac24a7a31367fe7841413873eff3e6a460977279ab9a600b3b347858a6","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":"2026-08-13T23:02:52.694835Z","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:a3fbe6c0aabf141f3f2e101d8d97f3237a4bae84da3ce88c38eda3add8b6308f","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":"2026-08-13T23:02:52.694835Z","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":"sha256:4a060a165aed2636638bb830bc22441827fb31779f57cf7110f1169890b127f4","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":"2026-08-13T23:02:52.694835Z","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:c7fac9d7c4ab771b2492772f464bc2827853eb6116ecedb6ece026829c260367","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":"2026-08-13T23:02:52.694835Z","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":"sha256:043c27adabe0e3bd4afd36582beb915cec7b8b1d0a4bff79de1d4391e016c6cd","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":"2026-08-13T23:02:52.694835Z","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:a6f83040feeb4efb617b32329cd881088d773ae330e522db274e677ac2f3cc5f","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":"2026-08-13T23:02:52.694835Z","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":"sha256:199e54dd740f34c2f531bcb9de449481157953b4ced72a2682efa5d1a20149ad","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":"2026-08-13T23:02:52.694835Z","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:dc9793a862e64dc9d11cf0f7b9c5ff3c59c4017294761eda9614f27b289e63e7","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":"2026-08-13T23:02:52.694835Z","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":"sha256:2e618d0e2c18d8b5a88eb7b8f9f328efbbc82369c1e49eb5f99ab10760641d16","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":"2026-08-13T23:02:52.694835Z","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:a7fae306a0578122bba212aa85986f0a99982f25a95f6107a3cc4e2a59b14a2e","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":"2026-08-13T23:02:52.694835Z","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:ef2129127250f135335c78a45bc1fb1023755a2317b86c0c712ccd376d49d103","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":"2026-08-13T23:02:52.694835Z","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":"sha256:0763aca9771329f63b861211ead73416950d32809b07199af4ebe7c69d6a06f8","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":"2026-08-13T23:02:52.694835Z","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:a6cc613b96611a873f9df84de9d04a67c36ecd544323c7aac822245df2731a2e","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":"2026-08-13T23:02:52.694835Z","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":"sha256:1a177822a6005b0f0a66c214c8a8e5ab6294eda5c2fa273200e7cc017fad7901","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":"2026-08-13T23:02:52.694835Z","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:b0ec8ea1bb576a9356a6b1bdb65cb961df9a3c070374d88ea0ddbc36ee60bbf8","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":"2026-08-13T23:02:52.694835Z","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":"sha256:611431b07b240b4db54b2c4faa7b138eaa0af70098a5db6bce14264b14c8757b","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":"2026-08-13T23:02:52.694835Z","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."}