{"as_of":"2026-08-17T00:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4566d987c14a1c09fd4e9683a6986f0d5e7205d7230ba6fa24e8a3c96fa84399","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:30:05.102918Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T09:57:42.166012Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T18:55:59.088932Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"cited_work":{"arxiv_id":"2510.15325","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.15325","snapshot_observed_at":"2026-07-14T01:19:55.451127Z","title":"Bowden and T","venue":null,"work_id":"da0b5fce-4951-4578-898d-bc4e03b327ce","year":2025},"citing_paper":{"arxiv_id":"2606.28316","last_updated":"2026-07-22T16:58:21Z","snapshot_observed_at":"2026-08-12T13:55:23.143226Z","submitted_at":"2026-06-26T17:57:25Z","title":"Infinite ECH Capacities and Anosov Flows","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-29T01:21:05.813250Z"},"links":{"cited_paper":"/paper/2510.15325","citing_paper":"/paper/2606.28316"},"observation_digest":"sha256:e3fb38601b3bbd89c59828a73b209a207f0108e0e8e8ff00ac814b6f7943cd1d","observation_id":"4cccfeb2-d1cf-4d0c-bc6c-455ec0a9f5b2","resolution":{"observed_at":"2026-07-14T01:19:55.451127Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.15325","snapshot_observed_at":"2026-08-02T09:57:42.166012Z","title":"Bowden and T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.28316","last_updated":"2026-07-22T16:58:21Z","snapshot_observed_at":"2026-08-12T13:55:23.143226Z","submitted_at":"2026-06-26T17:57:25Z","title":"Infinite ECH Capacities and Anosov Flows","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T09:57:42.166012Z"},"links":{"cited_paper":"/paper/2510.15325","citing_paper":"/paper/2606.28316"},"observation_digest":"sha256:3383d1de5d2b753a802bfb69d4ed3df53bc648973d1326354df19e81758387f8","observation_id":"ee9a0e06-a73a-44cc-9cda-469f52f842bf","resolution":{"observed_at":"2026-08-02T09:57:42.166012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2510.15325/citation-record","integrity":"/paper/2510.15325/integrity","json":"/paper/2510.15325/citation-record.json","paper":"/paper/2510.15325"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.118625Z","title":"Caractérisation des flots d’Anosov en dimension 3 par leurs feuilletages faibles","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.118625Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:bf17d7e9cfc43094b58884db37a27c6890b1781678ff6dac7fe979691f3d6db9","observation_id":"574dc7eb-32b8-4cf6-b86d-0c2497cf1482","resolution":{"observed_at":"2026-08-04T09:30:04.118625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.565577Z","title":"Anosov flows in3-manifolds","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.565577Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:6e02857200c172a5731a20e8734c6a57573fa2358b3bfa877529b9134c3a24dd","observation_id":"9547dc6b-475c-41e5-9f2e-29b71c4d9710","resolution":{"observed_at":"2026-08-04T09:30:04.565577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.296873Z","title":"American Mathematical Society, Providence, RI, 2000, pp","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.296873Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:2ae1cb63e749fa3c760189f97340e617c542e6f18a256627f8c05a6dc6a1f632","observation_id":"40ce7db7-95f5-4c7b-ab05-a7a845ef49dc","resolution":{"observed_at":"2026-08-04T09:30:04.296873Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.964587Z","title":"Anosov flows and non-Stein symplectic manifolds","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":373,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.964587Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:b16390bc61548e95d2e9a552acc72eaab03266c675126b3f1706dbbb1dc5be28","observation_id":"a95605af-99e8-49bf-8665-9e2ee1227b90","resolution":{"observed_at":"2026-08-04T09:30:04.964587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:05.102918Z","title":"On the uniqueness of the contact structure approximating a foliation","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:05.102918Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:1627241911c09a0969471df4b08dbd171a71e9cfb0b8cecd93e2dce37b275f06","observation_id":"03f578d1-90a6-438d-a7f6-73dd95e742ea","resolution":{"observed_at":"2026-08-04T09:30:05.102918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.723500Z","title":"Foliations and the topology of3-manifolds","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.723500Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:796011235ecfad69947e0222799d62aff2e433769011cc429338889af06586af","observation_id":"1f146e35-56c8-4e9a-ad21-cda83919e104","resolution":{"observed_at":"2026-08-04T09:30:04.723500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.12000","last_updated":"2025-05-29T18:47:00Z","snapshot_observed_at":"2026-08-16T18:00:41.481009Z","submitted_at":"2021-08-26T19:08:44Z","title":"Hyperbolic models of transitive topologically Anosov flows in dimension three","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.12000","snapshot_observed_at":"2026-08-04T09:30:05.048763Z","title":"Differentiable dynamical systems","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:05.048763Z"},"links":{"cited_paper":"/paper/2108.12000","citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:e12e397bb08e7fcae5af4427df08407dcabd7ba22d7efed08ad2281a128b062b","observation_id":"814ea712-c256-4d3b-9474-8ab07b98cd95","resolution":{"observed_at":"2026-08-04T09:30:05.048763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.07453","last_updated":"2022-11-14T15:30:16Z","snapshot_observed_at":"2026-08-16T16:16:20.970752Z","submitted_at":"2022-11-14T15:30:16Z","title":"Floer theory of Anosov flows in dimension three","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.07453","snapshot_observed_at":"2026-08-04T09:30:04.380739Z","title":"Stabilité topologique des structures de contact en dimension3","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.380739Z"},"links":{"cited_paper":"/paper/2211.07453","citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:0f535c4fa1b2fd5ef7f01ce9dc8a3ef3a60cb44a41c29e1703e32193cc23771e","observation_id":"37919395-bc48-4035-8dff-dd712c29dffc","resolution":{"observed_at":"2026-08-04T09:30:04.380739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.15635","last_updated":"2024-05-24T15:21:14Z","snapshot_observed_at":"2026-08-16T13:49:42.357527Z","submitted_at":"2024-05-24T15:21:14Z","title":"Taut foliations and contact pairs in dimension three","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.15635","snapshot_observed_at":"2026-08-04T09:30:04.846259Z","title":"A symplectic viewpoint on Anosov flows","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.846259Z"},"links":{"cited_paper":"/paper/2405.15635","citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:540c319a290fb1376a6f9f37dce51b17f0fcc718bdd85f2ad47bd19c81c7d8a1","observation_id":"f472bf29-ffbb-4e3c-8ea5-0757f2e11857","resolution":{"observed_at":"2026-08-04T09:30:04.846259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:30:04.200324Z","title":"Feuilles compactes d’un feuilletage génériqueencodimension1","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-04T09:30:04.200324Z"},"links":{"citing_paper":"/paper/2510.15325"},"observation_digest":"sha256:920636a7fec6e7440b84c15aefb1f26318edcf45da975e93818eebd05e1ad1da","observation_id":"dadc3150-c950-4c21-8df4-74e833de8e24","resolution":{"observed_at":"2026-08-04T09:30:04.200324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.15325","last_updated":"2026-07-10T21:43:47Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-15T21:00:04.586209Z","submitted_at":"2025-10-17T05:25:00Z","title":"Topological invariance of Liouville structures for taut foliations and Anosov flows"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":10},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 2 inbound Pith citation observations for arXiv:2510.15325."}