{"as_of":"2026-08-17T09:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3f043d8a1335a8280736fa7cbee6b3e368a7573edac2a607a6f62018eb72d7f7","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:08:51.126786Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T11:53:09.395353Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T11:53:09.643929Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"cited_work":{"arxiv_id":"2501.11725","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.11725","snapshot_observed_at":"2026-08-08T11:53:09.643929Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","venue":"math.SG","work_id":"9db86e76-7642-4b21-801e-8ede35a0e12c","year":2025},"citing_paper":{"arxiv_id":"2502.07716","last_updated":"2025-02-11T17:17:43Z","snapshot_observed_at":"2026-08-16T15:27:07.591872Z","submitted_at":"2025-02-11T17:17:43Z","title":"A Sm\\\"org\\aa sbord of (bi)contact structures, Reeb flows and pseudo-Anosov flows","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-08T11:53:09.395353Z"},"links":{"cited_paper":"/paper/2501.11725","citing_paper":"/paper/2502.07716"},"observation_digest":"sha256:cf43a20de44e27f81db6ccfbe5acf84db1ac9718409eebd5255f75c2fd5a4d63","observation_id":"4efc67a3-6323-4b7d-bb69-75b1baebeaea","resolution":{"observed_at":"2026-08-08T11:53:09.648029Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.11725/citation-record","integrity":"/paper/2501.11725/integrity","json":"/paper/2501.11725/citation-record.json","paper":"/paper/2501.11725"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:08:51.448834Z","title":null,"venue":null,"work_id":"a5a71df4-6c39-4979-8122-450bbea8e42b","year":1967},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.014896Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:49946121250b51384a69627d1eeb59a913a544a1d5a51df0800833d9770f7cbb","observation_id":"29cdb44a-7bfb-4a9f-97ac-7d5dee99504b","resolution":{"observed_at":"2026-08-10T18:08:51.451951Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.11938","last_updated":"2025-05-21T07:40:20Z","snapshot_observed_at":"2026-08-16T13:24:47.433267Z","submitted_at":"2024-08-21T18:42:50Z","title":"From curve shortening to flat link stability and Birkhoff sections of geodesic flows","version":3},"cited_work":{"arxiv_id":"2408.11938","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.11938","snapshot_observed_at":"2026-08-10T18:08:51.181185Z","title":"From curve shortening to flat link stability and Birkhoff sections of geodesic flows","venue":"math.DS","work_id":"d02399d1-ab6c-4d66-b967-1d5500659acd","year":2024},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.019564Z"},"links":{"cited_paper":"/paper/2408.11938","citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:2c7afe886ac0cd6f980277da6caea88b067f3b84a776f2e207333c9c8d0a5c24","observation_id":"9b4dc152-b5cf-4a7f-9440-fb6a10043ec6","resolution":{"observed_at":"2026-08-10T18:08:51.185568Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.439916Z","title":"Colin, P","venue":null,"work_id":"c79f6fe1-e005-4b0d-b4e7-fafecc543e48","year":2024},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.024066Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:8abfe4a9e6a19113634b2a10835c5e6dc7a52eaea8045ad5977fea46217e95cb","observation_id":"c53a29d5-5434-4f25-99d1-017cead03418","resolution":{"observed_at":"2026-08-10T18:08:51.442972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.429786Z","title":"Colin, P","venue":null,"work_id":"73a55b49-e055-4c91-9aea-f0cbae19fc55","year":2023},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.028739Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:7771eb386b35b80c51d4f7c7638b3b2e3a26d910d65bab1ac2e8fb1d2092360b","observation_id":"2190f149-d189-44c5-b0c1-340f878e2add","resolution":{"observed_at":"2026-08-10T18:08:51.433084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.420476Z","title":"Contreras, Geodesic flows with positive topological entropy, twist maps and hyperbolicity","venue":null,"work_id":"4d2459a5-e758-48d5-8439-41bc26cc84e0","year":2010},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.032883Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:77ba199f3baf362cd07c00d5a9b626c318961436a52a0021687b1068c427263a","observation_id":"6ba382a3-6afa-4c7a-ab21-6c9988deb21b","resolution":{"observed_at":"2026-08-10T18:08:51.423834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.410327Z","title":"Contreras and M","venue":null,"work_id":"afa87955-ca9a-4d7b-809c-be8855c74098","year":2022},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.037486Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:ac740b8e1cf526620e87e96b8c316fd82a00a652a1eaf97c045bfbb89323bd2d","observation_id":"8bc1e818-0b87-4aa4-81c9-05e5fb69acee","resolution":{"observed_at":"2026-08-10T18:08:51.414023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.399871Z","title":"Contreras and F","venue":null,"work_id":"d1bc4afe-f2fb-4b1b-9794-6d49503eff4f","year":2024},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.041659Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:f13fc4595daab0634bc78211816466be8e9ee8f230df3b2d58bd1ffc24acf899","observation_id":"e3b4e3f7-c777-42f9-968c-69424e8b1329","resolution":{"observed_at":"2026-08-10T18:08:51.403357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14768","last_updated":"2023-01-06T21:38:37Z","snapshot_observed_at":"2026-08-17T05:57:33.507373Z","submitted_at":"2022-05-29T21:09:43Z","title":"No elliptic points from fixed prime ends","version":2},"cited_work":{"arxiv_id":"2205.14768","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.14768","snapshot_observed_at":"2026-08-10T18:08:51.161928Z","title":"No elliptic points from fixed prime ends","venue":"math.DS","work_id":"555002a3-fb70-4478-8c2e-e3891c427db8","year":2022},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.046100Z"},"links":{"cited_paper":"/paper/2205.14768","citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:202b647b9a17f09ba5505cd5e9b22a2a74c70321deb9f03dad867243893a0e32","observation_id":"64b5ffca-cea4-4079-b6f2-7c0d356e4b8b","resolution":{"observed_at":"2026-08-10T18:08:51.169365Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.389204Z","title":"Contreras and G","venue":null,"work_id":"007ee1dd-6e02-4fae-9622-ddbea88f191a","year":2002},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.050394Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:28eb550b4b21c488eaeb6d1bf098313a57076241bfeca4f7bb338a36768b4861","observation_id":"1a27dcc1-94ea-4d52-9105-5f9744afa920","resolution":{"observed_at":"2026-08-10T18:08:51.393285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.375450Z","title":"Cristofaro-Gardiner and M","venue":null,"work_id":"d9a57932-0350-46ee-ae3a-e17d26fcabf7","year":2016},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.056095Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:524b1e2c5abfbde4618d4abea2c514b098bdb8d12daab51114ab2b96b25555ec","observation_id":"611c34c9-e2ca-42f6-b398-c338a5930725","resolution":{"observed_at":"2026-08-10T18:08:51.380513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.365446Z","title":"Cristofaro-Gardiner, U","venue":null,"work_id":"56e03b85-1e89-4dca-969d-b4a1e2df09f6","year":2023},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.060689Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:b680448bf469c0f85eacf18afc03d261bd8a773e4a296ff2ba93dcc19267f193","observation_id":"26efe369-3daf-48a4-8b87-cf884a37cc17","resolution":{"observed_at":"2026-08-10T18:08:51.368613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.355800Z","title":"Cristofaro-Gardiner, U","venue":null,"work_id":"cdfc4bf5-4490-4ce6-9132-c4f8079f8d18","year":null},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.068531Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:fbc5f380dcf2183d3cbf0bdaeefbb09b9b1bcdb16f90b92780ef0c7dec10da56","observation_id":"e202f17a-f14f-4e1e-bdf5-f5445ef0d9cf","resolution":{"observed_at":"2026-08-10T18:08:51.359433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.345278Z","title":"Fried, Transitive Anosov flows and pseudo-Anosov maps , Topology, 22 (1983), 299–303","venue":null,"work_id":"49acfb4c-70b6-40d4-b41a-5a94ffa27a86","year":1983},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.072689Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:dd33353147acf491799a760b004b8a801b597df4aa64bf2a6c32959a4e183401","observation_id":"d1bc3daa-f90f-44d4-b890-485fce583a9b","resolution":{"observed_at":"2026-08-10T18:08:51.349141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.334045Z","title":"Hall, A topology for free groups and related topics","venue":null,"work_id":"04bdad8a-a7ee-4e36-895d-03ec36fc2204","year":1950},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.076331Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:fed24e1ee62ac2160736e2c87a2d266e3486386c112a0bf8a6e3d027a4d97353","observation_id":"1664a200-8b53-4395-9dc4-0785def5872b","resolution":{"observed_at":"2026-08-10T18:08:51.338615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.323211Z","title":"Hutchings and C","venue":null,"work_id":"0f1a0279-34ae-4b3b-bccd-c704b5c67c3f","year":2011},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.079851Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:780f7b9b78995b8dfb10577b08a8ac816342c09d8464b19a3d1121abf41375fb","observation_id":"7e5084ee-2ae7-4ff6-9d45-daa9b7e4980f","resolution":{"observed_at":"2026-08-10T18:08:51.327060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.311801Z","title":"Hutchings and C","venue":null,"work_id":"d7f74aef-dcbf-48ec-83f3-f5a9264860c0","year":2013},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.083918Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:8913cf7a27502a417564a785fa414d28592d9790f0062aea47e73366ab3a4bba","observation_id":"d12c28c5-039e-42e8-9474-b25c94cf0890","resolution":{"observed_at":"2026-08-10T18:08:51.315387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.299106Z","title":"Irie, Dense existence of periodic Reeb orbits and ECH spectral invariants","venue":null,"work_id":"5a43991f-79ce-43f6-99f5-74d148009264","year":2015},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.088126Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:8fa43388c707d30c07ea213a4e390664a419929ea9605a3ac296bd3d24462a54","observation_id":"3d158840-e16b-4a2c-8e9c-78a75789bc44","resolution":{"observed_at":"2026-08-10T18:08:51.302526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.286692Z","title":"Irie, Equidistributed periodic orbits of C∞-generic three-dimensional Reeb flows","venue":null,"work_id":"7329e363-1fb5-4054-b91a-ea51a1fefaf1","year":2021},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.092168Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:5b9c749a9da0e2d00485de7d5ef3992bb4094ac85871b8b4ebe9062aa27e4254","observation_id":"9d4e0808-bf7f-4da1-ae41-c12b80725d5d","resolution":{"observed_at":"2026-08-10T18:08:51.290397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.275658Z","title":"Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms","venue":null,"work_id":"28795c1b-3d28-43b6-952d-58e32495e466","year":1980},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.096866Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:e522d243e1c277bbc45db9706f5bfb357abcd7cc9136be3966c414344fc74ca6","observation_id":"d3fa1fc7-06d2-4e28-80a3-04e5a904c305","resolution":{"observed_at":"2026-08-10T18:08:51.279785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.264171Z","title":"Koropecki, Aperiodic invariant continua for surface homeomorphisms","venue":null,"work_id":"b74993e1-2782-4a67-a536-e3247286cfe5","year":2010},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.101459Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:720677053dad66d0048161f61c2c3db1aa523c813b7ff1018dac745cd72e21bd","observation_id":"99a2d38a-2985-4a17-b83c-5616e1c8882a","resolution":{"observed_at":"2026-08-10T18:08:51.268769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.253155Z","title":"Koropecki, P","venue":null,"work_id":"259e3fe3-0b48-4881-9e8e-6e6a2e2afded","year":2015},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.106477Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:61fb6752382c25a7888ffb1fd25dce5dc094fc61e5d7a49ec661cbe8d3476b44","observation_id":"67a67633-c00e-4ee9-b56d-359604ec82ee","resolution":{"observed_at":"2026-08-10T18:08:51.257240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.241859Z","title":"Le Calvez, Propri´ et´ es dynamiques des diff´ eomorphismes de l’anneau et du tore.Ast´ erisque","venue":null,"work_id":"124e8bc7-6b53-4a13-bd68-968fc8ac649c","year":null},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.110490Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:b3855da1a066526432a8294aaac12d6a6c034f531215ded9c22a53262d2fed20","observation_id":"59a6b410-88f7-4c43-bfdc-501faacc7875","resolution":{"observed_at":"2026-08-10T18:08:51.246026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.217432Z","title":"Le Calvez, M","venue":null,"work_id":"a52651fa-d4b3-40de-8cde-0d75ec468572","year":2022},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.118547Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:a6b5f5644b12983592004e503b18f070748783649f9dfaf4ef29f1181c429d68","observation_id":"4d594826-2eec-461b-8147-ce3688ccfca3","resolution":{"observed_at":"2026-08-10T18:08:51.221292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.205324Z","title":null,"venue":null,"work_id":"96a16eb7-0f16-4990-9448-c4fa63618bcd","year":1981},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.122910Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:028f9789479dee2c17dade2ce9aa3157ee1c225f4a78b61ea634befaab604a71","observation_id":"333fb95c-913e-40f3-bd3e-159e6f360de4","resolution":{"observed_at":"2026-08-10T18:08:51.209574Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.193635Z","title":"Zehnder, Homoclinic points near elliptic fixed points , Comm","venue":null,"work_id":"13ff673a-d010-49b2-b276-e38c302f638e","year":1973},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.126786Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:a0aa4362ef77f3b56b9b1bfb88724e944084705d0f64ae893dfab7fc67cba8aa","observation_id":"def026de-bd12-408a-b822-05bd22ff9ca6","resolution":{"observed_at":"2026-08-10T18:08:51.197546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T18:08:51.229399Z","title":null,"venue":null,"work_id":"6023ee41-c2fe-4e9b-af6a-63b2842fd0cb","year":1991},"citing_paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D","version":1},"reference_index":204,"source":"pdf_text","source_observed_at":"2026-08-10T18:08:51.114744Z"},"links":{"citing_paper":"/paper/2501.11725"},"observation_digest":"sha256:65788d5900d6c0bc53cc69120bb2d473caa47275119e8810ad86104140725cbc","observation_id":"492d4cd5-179c-4e78-bc1d-e7c3b740a444","resolution":{"observed_at":"2026-08-10T18:08:51.233348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.11725","last_updated":"2025-01-20T20:21:47Z","latest_version":1,"primary_category":"math.SG","snapshot_observed_at":"2026-08-10T17:53:26.645116Z","submitted_at":"2025-01-20T20:21:47Z","title":"Homoclinic orbits, Reeb chords and nice Birkhoff sections for Reeb flows in 3D"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":21},"total_outbound_references":26},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2501.11725."}