{"as_of":"2026-08-08T18:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d84877f4efc4b1665b8d8c314612fcdec78d27bf66199df9ba350708d0071f55","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T02:06:10.850217Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"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/2607.25604/citation-record","integrity":"/paper/2607.25604/integrity","json":"/paper/2607.25604/citation-record.json","paper":"/paper/2607.25604"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T02:06:07.772745Z","title":"G\\'eom\\'etrie transverse des flots d’Anosov, Thesis, Ecole Normale Sup\\'erieure de Lyon (1992)","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:07.772745Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:e46d42c2638cf9832b1fa5ead4a95f61b3b38a5dbb070f8ae9cca6042c614873","observation_id":"b1b8477e-6eab-4e04-a711-aed6ae3f24b5","resolution":{"observed_at":"2026-08-01T02:06:07.772745Z","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":"2026-08-01T02:06:07.876505Z","title":"De l’hyperbolique au globalement hyperbolique, Habilitation à diriger des recherches, Université Claude Bernard - Lyon I","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:07.876505Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:398273905710c1cf31e63fb2ab7f367dcbbde130407e2b0847c51995205e6a46","observation_id":"42339813-cb07-48ac-a09c-cd38bdfd91d8","resolution":{"observed_at":"2026-08-01T02:06:07.876505Z","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":"2026-08-01T02:06:08.038415Z","title":"Orbit equivalences for Pseudo-Anosov flows, Inventiones mathematicae, Vol","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.038415Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:9081821718ab3fd6f02acaef6ec0f0a5cd820282eb2e3a15e09e2795b6a4a92e","observation_id":"a16e1c56-e251-417f-924e-9561e8dd55ea","resolution":{"observed_at":"2026-08-01T02:06:08.038415Z","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":"2026-08-01T02:06:08.210494Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.210494Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:76afaff9b1c24141549f2a84da3d1e956171b74938833f70bb1705518d145af9","observation_id":"a2a644df-09e7-4564-96db-31ebd83358be","resolution":{"observed_at":"2026-08-01T02:06:08.210494Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.01594","last_updated":"2025-09-11T11:04:17Z","snapshot_observed_at":"2026-08-06T03:00:35.667694Z","submitted_at":"2025-09-01T16:28:54Z","title":"Reconstructing flows from the orbit space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.01594","snapshot_observed_at":"2026-08-01T02:06:08.356216Z","title":"Reconstructing flows from the orbit space, arXiv:2509.01594","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.356216Z"},"links":{"cited_paper":"/paper/2509.01594","citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:3dd1b6a260486049152a3f80bfe76e70a9b92767bfb1000631a6af5468fd9970","observation_id":"45a2917f-9839-4ccc-a9bc-e9865465e145","resolution":{"observed_at":"2026-08-01T02:06:08.356216Z","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":"2026-08-01T02:06:08.526248Z","title":"Pseudo-Anosov flows: a plane approach, arXiv:2509.15375","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.526248Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:b470fdf303278d196e1b5d26710540a8aea989595ae03c66a60631bc1515d02b","observation_id":"15d6200d-7b5a-4fe6-b52f-a4e006e621ac","resolution":{"observed_at":"2026-08-01T02:06:08.526248Z","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":"2026-08-01T02:06:08.704489Z","title":"Theory of Lie groups, Princeton Univ","venue":null,"work_id":null,"year":1946},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.704489Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:20f8ae7995d4315468e1f493d2e28b2036e2adf1b23fcb6a9733fd9dfe46e089","observation_id":"2599c7fc-49c5-4477-9378-0be6ad3c8c83","resolution":{"observed_at":"2026-08-01T02:06:08.704489Z","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":"2026-08-01T02:06:08.862717Z","title":"Anosov flows in 3-manifolds, Ann","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.862717Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:6fe830973562c18e292d0de9bd1f44249176ad9f0d1257e8f5877b29fd236ed7","observation_id":"386064e7-37c0-44ed-afe4-b4d31f3b9055","resolution":{"observed_at":"2026-08-01T02:06:08.862717Z","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":"2026-08-01T02:06:08.967263Z","title":"Quasigeodesic flows in hyperbolic 3-manifolds, Topology, Vol","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:08.967263Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:d66331afeb04ef4e468b96a090763a6aa1e328827dd3a59b8573a5206428f7b9","observation_id":"127d9455-96f4-4b29-9b07-60d26ded80d3","resolution":{"observed_at":"2026-08-01T02:06:08.967263Z","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":"2026-08-01T02:06:09.081919Z","title":"Markovian families for pseudo-Anosov flows, arXiv:2509.19530","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.081919Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:9c8acc985a7717ee3533d6dfb07ad8186797b37c63f0148ee22ba3f7c0d05100","observation_id":"2f2f14ba-2681-4f5c-8f9d-0dcbb4d24ae4","resolution":{"observed_at":"2026-08-01T02:06:09.081919Z","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":"2026-08-01T02:06:09.226896Z","title":"London Math","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.226896Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:cf7f4077a033a7b93e994cc611920858cfdfbdf79b7326a26696490d7720968f","observation_id":"a68ab76f-11ca-46d1-85c0-d1bf09dbd2da","resolution":{"observed_at":"2026-08-01T02:06:09.226896Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.19246","last_updated":"2026-06-17T16:24:38Z","snapshot_observed_at":"2026-08-08T05:00:54.363792Z","submitted_at":"2026-06-17T16:24:38Z","title":"Markovian actions are Anosov-like","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.19246","snapshot_observed_at":"2026-08-01T02:06:09.356067Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.356067Z"},"links":{"cited_paper":"/paper/2606.19246","citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:ef65f7ce22a0d1b803e6f00f84feb442bab2fc1d358313789ad2c1d1223c869f","observation_id":"515746a4-3ee0-463d-9e3d-a3bb167e1453","resolution":{"observed_at":"2026-08-01T02:06:09.356067Z","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":"2026-08-01T02:06:09.582455Z","title":"Markov parititions for non-transitive pseudo-Anosov flows, Comptes Rendus Mathématique (accepted 2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.582455Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:1db8bdc3b35e1bbe5274617a39044ca1ffbd0a10df6d8998e96236b8d211aff3","observation_id":"59c49801-df4d-4a9e-b920-2b7da80ca623","resolution":{"observed_at":"2026-08-01T02:06:09.582455Z","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":"2026-08-01T02:06:09.712660Z","title":"Nonsingular expansive flows on 3-manifolds and foliations with circle prong singularities, Japan","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.712660Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:c0ba4be9ca24271cc12db4b79e5a490af785765c16812a108990c1981c81af66","observation_id":"92c9e7c3-e606-4fbe-8169-613ebfb26870","resolution":{"observed_at":"2026-08-01T02:06:09.712660Z","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":"2026-08-01T02:06:09.817299Z","title":"Taylor, A characterization of pseudo-Anosov orbit spaces via bifoliated planes, arXiv:2606.16588","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.817299Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:b50a5eea39f8dae82e71bf720d88aa583cfe521305e7df30fcc62179cbac3ca5","observation_id":"15863da6-8086-4cb2-8d69-a05c4455e809","resolution":{"observed_at":"2026-08-01T02:06:09.817299Z","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":"2026-08-01T02:06:09.924755Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:09.924755Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:5af2072db11677d6f2d23512da49401c74486c7377ffe75f6e6fa884e18842e9","observation_id":"2abaf1e2-3eab-4945-af77-d78114e0be7c","resolution":{"observed_at":"2026-08-01T02:06:09.924755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0902.2480","last_updated":"2009-07-15T15:33:19Z","snapshot_observed_at":"2026-08-05T11:43:08.293210Z","submitted_at":"2009-02-14T17:20:54Z","title":"Survey on aspherical manifolds","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0902.2480","snapshot_observed_at":"2026-08-01T02:06:10.041302Z","title":"Survey on aspherical manifolds, arXiv:0902.2480","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.041302Z"},"links":{"cited_paper":"/paper/0902.2480","citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:01478228e33f4e40e2c19a8544d4dda5e8fa456973da5ef85bfed6418d92b48e","observation_id":"84dde63b-e2af-4675-a27d-d8dfe314f0cc","resolution":{"observed_at":"2026-08-01T02:06:10.041302Z","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":"2026-08-01T02:06:10.170316Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.170316Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:5f71d43e53fa560b606574a673769898c94cded0acc0d618f291a580666617a6","observation_id":"110ca1c6-5537-473f-95dc-fe6d93e3a7b8","resolution":{"observed_at":"2026-08-01T02:06:10.170316Z","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":"2026-08-01T02:06:10.396966Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.396966Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:0cf4d382839e1601fc9c67d88ce5cee1e185c2e293489cd971cf270ccaf55144","observation_id":"4e5d35ef-81b2-450a-95d2-793d369816b1","resolution":{"observed_at":"2026-08-01T02:06:10.396966Z","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":"2026-08-01T02:06:10.558234Z","title":"Hyperbolic models of transitive topologically Anosov flows in dimension three, Annales Scientifiques de l'École Normale Supérieure, Series 4, Vol","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.558234Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:49c47e762b012aaf9e5d3ac2d2a55df78dba1a21a2b9cc53278ca62c78e9fb71","observation_id":"ad2ad21c-fbde-40e9-8d11-19dc39beff78","resolution":{"observed_at":"2026-08-01T02:06:10.558234Z","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":"2026-08-01T02:06:10.714582Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.714582Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:a455c68ce284bf1ec5452a61feed24621afd8a1fabe1072889400cf8037b9a87","observation_id":"7f666c22-bcfd-4819-8e87-2b366e720379","resolution":{"observed_at":"2026-08-01T02:06:10.714582Z","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":"2026-08-01T02:06:10.850217Z","title":null,"venue":null,"work_id":null,"year":1933},"citing_paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T02:06:10.850217Z"},"links":{"citing_paper":"/paper/2607.25604"},"observation_digest":"sha256:acb7c5cedf8957ad88a6c40052c4dd5984abdd311710089d3bd6f55f5fd5d6ac","observation_id":"7f3cf13f-a2b5-4491-8bf3-1422a1e8bac7","resolution":{"observed_at":"2026-08-01T02:06:10.850217Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.25604","last_updated":"2026-07-28T11:33:44Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-06T10:46:59.365771Z","submitted_at":"2026-07-28T11:33:44Z","title":"From Markovian actions to Anosov flows"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":22},"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 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.25604."}