{"as_of":"2026-08-08T21:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:40d4a275bfec036478a2d2d0f62863c412e94f53fb8adf0766bd88c6da5658b9","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-23T21:04:51.331346Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2409.14566/citation-record","integrity":"/paper/2409.14566/integrity","json":"/paper/2409.14566/citation-record.json","paper":"/paper/2409.14566"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Adhikari, J","venue":null,"work_id":"42333087-ea88-4588-9c69-87d695261aff","year":2023},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:9541e6f13058815a589959a207a33f88bef59b3d42722334ca774fe22eeabdea","observation_id":"73e3f477-b3f0-43a8-91da-315fac5cd7a1","resolution":{"observed_at":"2026-05-23T21:05:49.399462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Bhaskar, B","venue":null,"work_id":"d2023679-2a5d-407d-b867-29d0362a51b6","year":2021},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:fc440d1fd5b706888b41a1f5c315b41870c92f580dddc9bee672d9b74f58679b","observation_id":"7817fc8c-d20f-4036-943c-d9f5bfdbf581","resolution":{"observed_at":"2026-05-23T21:05:49.415246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ea5bc886-4955-47ed-8f8f-68a5b66f5805","year":1999},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:b2c98736e8134869be93d8380b3638420ccb7d27b5259e1e4c85ff57b9b00ede","observation_id":"61739a34-ee02-4a2f-b523-4c4736ad50e3","resolution":{"observed_at":"2026-05-23T21:05:49.442128Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"16ad85c1-e9cb-4bb1-b089-a378a9e60c9e","year":2009},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:721281064ff33ca4f36aaccd6b872710e6d3df51f4a7dbd654c70d945244c614","observation_id":"62878b31-29ad-4c1b-8d91-70c3f4ad0a1d","resolution":{"observed_at":"2026-05-23T21:05:49.423393Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b80b1335-6cff-4812-807c-ff147036a687","year":2001},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:7bd03dd5adbabd42a30badd9c3793387795d1b6480e327dd49d0c5dff5c4377c","observation_id":"ca2fb8b9-045e-463c-8b3f-5f44ad90f854","resolution":{"observed_at":"2026-05-23T21:05:49.428106Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bab750b8-f8d1-491e-8368-a07b9908b78f","year":1998},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:3b88940537edec188274a08f8a5e4b97d717ad19341217a95fe035388f742569","observation_id":"1bb07765-c046-4957-b26c-550ca93649ab","resolution":{"observed_at":"2026-05-23T21:05:49.475647Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00276920","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Journal of Mathematical Biology","work_id":"8a7da328-b398-4cd7-ba7c-cd82c7d757e3","year":1981},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:f996986a4fa8ff510d4b53badf203f6c65d2eea5cd3f6be77e3eac00ab418619","observation_id":"58e336b9-9aae-400b-a299-b7354e3fac4c","resolution":{"observed_at":"2026-05-23T21:05:48.670510Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ed56a75f-882c-4ba6-9f06-2e6cfc37cb1c","year":2002},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:62552780189754bd4d0b5e65db12ae0d0e9f65ce84e0a7043e945c1d17b23de6","observation_id":"e2c2cc08-41a0-4458-b08b-a9eb844a1428","resolution":{"observed_at":"2026-05-23T21:05:49.425786Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-0-387-87708-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bard and Terman, David H","venue":"Interdisciplinary applied mathematics","work_id":"e8f24aa0-e78f-4763-b914-f21be85ac982","year":2010},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:8866deef1a215a60b323099aeef541fd44a9714883cc5e7c6b14840b168b16c7","observation_id":"feea27bc-151e-44d8-8427-2504a15f05da","resolution":{"observed_at":"2026-05-23T21:05:48.674624Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Glass and R","venue":null,"work_id":"9852af0d-599f-474d-b6b8-bab6cd424f84","year":1982},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:0342fa7e24ba6661cf69dad143e70f94db6a315498a6ead2de7f7a313462e3ea","observation_id":"357906f5-a796-48fb-8d5f-a48a0fb631ce","resolution":{"observed_at":"2026-05-23T21:05:49.420996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"749e4c45-0522-4cdb-8d86-6962cd132ca6","year":2009},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:6bd7358778f111c4a4c60350e3f75db12c5213adb501763272f34202d854cd8f","observation_id":"c19fbee0-dcb1-470b-9e94-b114225b7186","resolution":{"observed_at":"2026-05-23T21:05:49.436258Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Golubitsky and I","venue":null,"work_id":"2d017e46-c6a1-4b42-ab7b-f8df25486be7","year":2003},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:188c9666893e0261c68c45541d797f724850c2bae62b851b715671f2c435c3ad","observation_id":"5dc91f96-ed57-43a1-919b-40d2cf7e1f7b","resolution":{"observed_at":"2026-05-23T21:05:49.433660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.5082161","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Horv ´ath, D","venue":"Chaos An Interdisciplinary Journal of Nonlinear Science","work_id":"cc035946-f1d8-42ec-bdb5-8eccafbb4497","year":2019},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:cb19078ea61a36c9969e3f9d5bbfe6a59e66afc414bfe83bd04ce205f693c2b5","observation_id":"f8d71f88-28c6-43a1-8458-79f414fc9e1d","resolution":{"observed_at":"2026-05-23T21:05:48.660458Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreve.105.024310","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hunter, M","venue":"PubMed","work_id":"7abf526a-5a02-41a1-9400-ef47d86f6b27","year":2022},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:1eee443c61608e8cc6c311705afeab43c7fb3b0cf19f9d67b5ac896e4659c3b7","observation_id":"6e2c7fe6-66fb-46b2-b25c-9acbb67a0eab","resolution":{"observed_at":"2026-05-23T21:05:48.685214Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"07e1adf7-c8ea-4fae-b3ac-99ae07dff711","year":2007},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:3505fb787d6fe568c3dd4a9d9229ecb7b45ba3ce0cf9d024bc4d23929fa3b964","observation_id":"276b4f11-abe1-49a0-b516-6aabff80e567","resolution":{"observed_at":"2026-05-23T21:05:49.485355Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Kuramoto, Chemical oscillations, waves, and turbulence , vol","venue":null,"work_id":"5d87fa05-5b28-499a-ad28-87d434c9b5bc","year":1984},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:16bc99b1927bde2f1e9ca0a8f7becdd967b5d577b84ef0a9d8cb79d3687661a2","observation_id":"d52f0a5f-dffd-4741-99d3-c9ef1f492167","resolution":{"observed_at":"2026-05-23T21:05:49.480208Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Lengler, F","venue":null,"work_id":"9d2de75c-e872-476c-a13d-fce7fe6e9efb","year":2013},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:44b717311cc5398ab9b1f2c1ae6d64f508eeb2372e3a25f3a43da5275ffa4c0f","observation_id":"bf5c39ac-7636-45a6-8512-0fb0cf1581c2","resolution":{"observed_at":"2026-05-23T21:05:49.473790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0951-7715/27/3/563","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Llibre, D","venue":"Nonlinearity","work_id":"b7a02719-fc8b-4980-8996-21ff2f13d551","year":2014},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:a023ffc8f5fb2a437bcbeac0ccb39f55aeaba6cb2d2835517af212001a5d95cc","observation_id":"91f206ce-187c-4621-bd56-10a58043b814","resolution":{"observed_at":"2026-05-23T21:05:48.678725Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Maggia, S","venue":null,"work_id":"dda864d1-128c-4c0d-99f4-91e38a55bb46","year":2020},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:ae9b8675cee49de1753023bea8dbc5f78e2509762da5602a6c568f57688cc9bf","observation_id":"882b338c-b0f6-49d3-88d5-346698e0e492","resolution":{"observed_at":"2026-05-23T21:05:49.490508Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"eb43cf95-69f3-4c7a-b8a7-3a850403c673","year":2019},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:245d81ca884d53dcea5ad598b67eadfe4f1648769f1d0058a979a871d7a85e29","observation_id":"263db51c-1618-4d6b-90bd-41ed015315ef","resolution":{"observed_at":"2026-05-23T21:05:49.501324Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Marder, S","venue":null,"work_id":"cc2d2348-7204-4cb3-b9b1-68636635dbc5","year":2022},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:f14f9810860c97b6416c877a54ac13bee22cc550c193dc3a7e0431c7c2bc762c","observation_id":"e48f6fc5-5535-4066-b4bf-2cd6ec6cbfdf","resolution":{"observed_at":"2026-05-23T21:05:49.504343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c3e2ac3e-4330-4760-bf28-87a134b5ef8b","year":2023},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:25a18470c8d1de19c939105d516ee1dd28dea8115476af4000da87cc8435e59c","observation_id":"27d1b70e-6fad-4ef4-941d-d5b5247f6378","resolution":{"observed_at":"2026-05-23T21:05:49.490163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Mauroy, I","venue":null,"work_id":"7737ea98-9616-4383-9785-c7e9929a7acd","year":2013},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:bba3bea694e0a8002b8e76974a827032e89ef8f45317e36ab281cca125db1ca2","observation_id":"1ade0591-ef05-4611-bdf5-749a921179e9","resolution":{"observed_at":"2026-05-23T21:05:49.482767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"McKinley, M","venue":null,"work_id":"2ef959cc-741b-465d-88fe-f19fffc1eb24","year":2090},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:38151b4dab79bf9b289dae84146a28a41fad72c72937343949a962fa47f72f09","observation_id":"87a66c4b-ac18-43cc-96bd-91e09cabd5a8","resolution":{"observed_at":"2026-05-23T21:05:49.487324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Mezi ´c, Spectrum of the koopman operator, spectral expansions in functional spaces, and state-space geometry, J","venue":null,"work_id":"8ea56688-905f-47e7-b130-3352dbec19ed","year":2020},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:653ad0b1a056955cae76ab8e8a505b3b60b624fe49337b39b14ee091a619be33","observation_id":"cf840e34-2925-4cd7-804a-69a8d81b6032","resolution":{"observed_at":"2026-05-23T21:05:49.452193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Milne and F","venue":null,"work_id":"f0f928a5-d050-4330-a1b8-a71a3842e866","year":2021},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:578a466c2c824b410cebc7d905fd96e89fb30a0eb439471cfde706e2285ad7a4","observation_id":"a297b834-efbb-426b-88fb-79966275c35d","resolution":{"observed_at":"2026-05-23T21:05:49.467393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/0150098","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"SIAM Journal on Applied Mathematics50(6), 1645–1662 (1990).https: //doi.org/10.1137/0150098","venue":"SIAM Journal on Applied Mathematics","work_id":"c59b4510-c37d-4081-9f9e-a5e1b112df8e","year":1990},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:21d1dd56c9b22fa1f1fe7e055ba41a818832e4c0171042e912d7c8bbc186be38","observation_id":"9235fa44-5779-44df-9e58-aaf3902cef91","resolution":{"observed_at":"2026-05-23T21:05:48.666221Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T14:08:10.903471+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T14:08:10.903471+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-08T14:08:10.903471+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Nicks, R","venue":null,"work_id":"95d5e97d-c65f-4c92-8f15-d4a12ad249eb","year":2024},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:c1b4d0ea13d0ee3e201d210af85e0efb90d8944fa8818e1363e6dcdcb0b987aa","observation_id":"286e9d4e-e2bd-4335-8a6f-da67fa78dfa7","resolution":{"observed_at":"2026-05-23T21:05:49.448282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5ed0a3ac-9a76-473b-9d49-65bebacf33d4","year":2019},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:1f9c3ae2668af82b42044075fbb444d55cb24a64c7adf1456084c3ecf9348e6f","observation_id":"28f99172-8207-44b4-84cc-854518668895","resolution":{"observed_at":"2026-05-23T21:05:49.498594Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Ott and T","venue":null,"work_id":"443ce0f8-03fc-4c9c-a259-d78036120ff9","year":2008},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:bcaf9dc0066833edca576e62297cfaf9545e3af9cdd5bee5e15aa8281dc6d902","observation_id":"ab3784c8-7094-47e3-9ded-85b03ad073e8","resolution":{"observed_at":"2026-05-23T21:05:49.469032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10827-016-0596-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Park and G","venue":"Journal of Computational Neuroscience","work_id":"60098155-7fda-4498-8313-c3d9952aba6c","year":2016},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:669b906b80f78f83bec88395f66bdc7a50b716c125bf779282c6bee7f17aba34","observation_id":"0b1e8624-d9e3-4916-b7dc-a33c611ca0ab","resolution":{"observed_at":"2026-05-23T21:05:48.682029Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"adcc6c41-3ed1-484d-b676-c322c2b9a2c9","year":2017},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:412f892a20e8827e068f4de28cf412f5a3a5045634494d7fff2bf867856e8f23","observation_id":"e4e7c6bb-0a35-4526-ae85-c11fa4f009d2","resolution":{"observed_at":"2026-05-23T21:05:49.438508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Park and D","venue":null,"work_id":"df500260-7249-4919-b8f1-dd173932e8f5","year":2021},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:9c979b2259dfd2c027ce63c2ad26864e19c26398274f02b627ca2837c768c80d","observation_id":"9717c50c-1324-4a16-8dd4-4e08728503d8","resolution":{"observed_at":"2026-05-23T21:05:49.495814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Park and D","venue":null,"work_id":"9b041935-a9cb-4825-8d7d-8af081e3498e","year":2024},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:f6d04c8687fdcdc30b21db558a9cd7d2242ae65748ac2a2dc02f30bd2ec12b95","observation_id":"4bacf423-f7b3-444e-93ec-30de3d878930","resolution":{"observed_at":"2026-05-23T21:05:49.458765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.03647","last_updated":"2020-08-05T07:03:02Z","snapshot_observed_at":"2026-07-06T09:10:46.033625Z","submitted_at":"2020-04-07T18:36:57Z","title":"Global phase-amplitude description of oscillatory dynamics via the parameterization method","version":2},"cited_work":{"arxiv_id":"2004.03647","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.03647","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"P´erez-Cervera, T","venue":null,"work_id":"43e5a1ca-65b0-4d94-8ff0-06b97468df1a","year":2004},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"cited_paper":"/paper/2004.03647","citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:be8a226e0a4a26b3c48b104f94acf15f2c6a3c4fde44133ced37eab07c7b14fc","observation_id":"9f4b413f-7b86-4a88-aec6-0844f56bf7de","resolution":{"observed_at":"2026-05-23T21:05:48.862886Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Rosenblum and A","venue":null,"work_id":"31335e22-7fa8-4dae-b583-09ba543a29bb","year":2019},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:c133609f503ca2f55168525f6c16bd500588b1b39462574e8a2623c55d3f4309","observation_id":"f4a0ea73-1447-4a46-9ed6-26d77a80a056","resolution":{"observed_at":"2026-05-23T21:05:49.431041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1f9986c4-1342-4698-9c63-440d16022c60","year":2004},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:fe5e6d28063872493749382721385ccb00b03db14efd85684ceed5de3674d32f","observation_id":"b8d2d5f5-4008-4319-8ed2-b699a9290d62","resolution":{"observed_at":"2026-05-23T21:05:49.451012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9709a2ba-6d08-49f6-b190-96bf4415b393","year":2011},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:82c48f7033a187307f0f7e53dcbb3d3c304a67948fb55a781a4caccea09a9be3","observation_id":"c14743f5-0c4a-4bf6-b1e4-8ae9d1ac9e70","resolution":{"observed_at":"2026-05-23T21:05:49.439088Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Shirasaka, W","venue":null,"work_id":"b3f17e3c-bf61-4c0b-a8ca-85bac76e9a1c","year":2017},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:d5667757d8dc1943b1eaf2c6b88c0261e67fcce26ae303370ecfb90dddb352e5","observation_id":"c4e41524-aa68-4e7f-bbc6-6b4f4947ba56","resolution":{"observed_at":"2026-05-23T21:05:49.456239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"98ae90d0-e086-4dc7-ad5e-7cf7f2836cc3","year":2005},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:1a3f4acdafd3f18100c6b0dd7791787dae5b8d4d63e4460e8faa2bd3d13795d1","observation_id":"1993b5f9-aaf6-4f91-9595-e5f2fcce3fba","resolution":{"observed_at":"2026-05-23T21:05:49.492585Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"feb1679e-3447-4e53-9895-de7deae85ef5","year":2005},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:4b465cbf2bedda9945084057f876ede4521db7685a29cfe2d3758015d9fbfa87","observation_id":"fc764bb9-aa8c-4c15-a8c3-70349095dc7d","resolution":{"observed_at":"2026-05-23T21:05:49.453662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Urban and S","venue":null,"work_id":"5618dd9d-3005-4ccf-9c98-aa70dbc30854","year":2012},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:48b47c069008142655082d92c3020a4a9875742dddc26e7d7db0de3a633b1ab9","observation_id":"febb1401-030b-49ea-a891-dc177e7b30d5","resolution":{"observed_at":"2026-05-23T21:05:49.445248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2990947d-7247-4e40-889b-6336fa239c81","year":2013},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:e71a197d8649b9621b49705f64028032042e364b9954654f87a01dbb9e75cff5","observation_id":"1558eb3f-109b-41b3-8b8d-5ce9ecec0798","resolution":{"observed_at":"2026-05-23T21:05:49.417707Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a77dec23-663d-4357-b0d5-ac1d934c3450","year":null},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:766777b1c8d3b73a1fd20b68da819c0d58bd015d1d38fb348258e3d8acc9ce18","observation_id":"9fadfb8f-1d07-4278-ae3c-d5c7129283bb","resolution":{"observed_at":"2026-05-23T21:05:49.464492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Wilson, Phase-amplitude reduction far beyond the weakly perturbed paradigm , Physical Review E, 101 (2020), p","venue":null,"work_id":"0b31d839-8bed-4b3e-ba13-44df7c1d0744","year":2020},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:830bb1379ecef55ff05320ac9d4db2b29643d59bea655078f4f222bc6b045903","observation_id":"bf84fd5a-c0e4-4ba4-b691-79e6e68b4c15","resolution":{"observed_at":"2026-05-23T21:05:49.461624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00285-017-1141-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Wilson and G","venue":"Journal of Mathematical Biology","work_id":"e977ccc0-4dc4-4d8e-992e-bc675553adcd","year":2018},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:75f384bc329cbb6db605bb5ab120a5ffe86258e6c963674ccc98a3d16fcf989d","observation_id":"2ed79790-7f84-419d-8b11-f8342439eba7","resolution":{"observed_at":"2026-05-23T21:05:48.653107Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Wilson and G","venue":null,"work_id":"6bcbe0cb-da67-43f5-a3e4-e331ac68f0c1","year":2018},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:73686f82ea5418c2c1cfaf794421f18107770a3ef2842df6bb8c2ae06b088e20","observation_id":"d5cbaba4-7da2-4039-a9a2-933f8afee8e6","resolution":{"observed_at":"2026-05-23T21:05:49.404957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Wilson and G","venue":null,"work_id":"b25f5899-c09f-45ab-9dea-07e4473e9436","year":2019},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:70fbc2eb3d154391c79248f53a064939c74211c90d4a621152cb734ba96e6d0d","observation_id":"fefc1c7c-0366-44fe-98d9-5a716d065b00","resolution":{"observed_at":"2026-05-23T21:05:49.470608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Wilson and J","venue":null,"work_id":"bd8e1dc4-8a97-4519-ad53-9488bf078c95","year":2016},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:9f81b4df0525c9c70e67b8f4c99bd39835cc657890da1486c7750711b8473c54","observation_id":"cee96110-fad4-454c-bdcf-ae22bee98a30","resolution":{"observed_at":"2026-05-23T21:05:49.487990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4eed5630-c256-4414-9745-c4b60d5b46a8","year":2001},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:59d18b2d42fce1754e2b0657b8238bda264b36dcd0e04e47c03aa1913e955aae","observation_id":"0d53c04a-29da-45c4-908b-efe57276d463","resolution":{"observed_at":"2026-05-23T21:05:49.448845Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-05T21:23:00.469572Z","title":"Zang and E","venue":null,"work_id":"b8300013-cc02-4f27-b787-ab411494db32","year":2023},"citing_paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-23T21:04:51.331346Z"},"links":{"citing_paper":"/paper/2409.14566"},"observation_digest":"sha256:bcdb978e7bdb5e2d96771951d7b888a7a0cbfae6b8f5d66cdfc76d43b25475c2","observation_id":"9fd160fb-4ce3-4dcf-b177-8cbf03d6ab2c","resolution":{"observed_at":"2026-05-23T21:05:49.433175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2409.14566","last_updated":"2026-05-06T17:59:21Z","latest_version":4,"primary_category":"q-bio.NC","snapshot_observed_at":"2026-07-06T19:19:33.231002Z","submitted_at":"2024-09-22T19:04:33Z","title":"n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":9,"verified_fuzzy":23},"total_outbound_references":51},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2409.14566."}