{"as_of":"2026-08-13T14:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:25767133f95dffa6bf42a5edc0c7b9bde7c65fc558f4ad94530b49c01234bc47","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:07:24.770144Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-04T08:54:04.608933Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.17990","snapshot_observed_at":"2026-08-04T08:54:04.608933Z","title":"L´ opez-Mart ´ ınez","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.19337","last_updated":"2026-07-13T06:10:15Z","snapshot_observed_at":"2026-08-13T05:57:23.179301Z","submitted_at":"2025-10-22T07:59:22Z","title":"Topological dynamics for the endograph metric II: Extremely radical properties","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T08:54:04.608933Z"},"links":{"cited_paper":"/paper/2510.17990","citing_paper":"/paper/2510.19337"},"observation_digest":"sha256:23f28e26965f1455af3356983aa444bc510adeaae2174c0d9cf0ba99a76ee045","observation_id":"7f1cc476-ed0f-4301-9f32-22d508fd62b3","resolution":{"observed_at":"2026-08-04T08:54:04.608933Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.17990","snapshot_observed_at":"2026-08-04T08:37:26.784130Z","title":"L´ opez-Mart ´ ınez","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.20240","last_updated":"2026-07-14T06:27:46Z","snapshot_observed_at":"2026-08-04T08:37:19.187701Z","submitted_at":"2025-10-23T05:46:43Z","title":"Li-Yorke chaos on fuzzy dynamical systems","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T08:37:26.784130Z"},"links":{"cited_paper":"/paper/2510.17990","citing_paper":"/paper/2510.20240"},"observation_digest":"sha256:adf2d5bac793436f4cd12d5cde5145491a82964d3a05d95cb1d26eea456d99fa","observation_id":"a9e480f7-4d11-428d-9be8-d95453efa1b4","resolution":{"observed_at":"2026-08-04T08:37:26.784130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2510.17990/citation-record","integrity":"/paper/2510.17990/integrity","json":"/paper/2510.17990/citation-record.json","paper":"/paper/2510.17990"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:07:21.349799Z","title":"Abakumov and A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.349799Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:aef1747c2227fb7a53eb69a8b54af65256836f8c4646ac84c62f65ace159ff6d","observation_id":"20faa522-9b7b-4147-bf04-5d7627d7b767","resolution":{"observed_at":"2026-08-04T09:07:21.349799Z","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":"2026-08-04T09:07:21.400905Z","title":"´Alvarez, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.400905Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:bf69415c25af3a9cdf036b27156dd375257a54525619a6a3468c051e0b6334bb","observation_id":"56038087-3281-4b53-afe0-6ee876351d97","resolution":{"observed_at":"2026-08-04T09:07:21.400905Z","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":"2026-08-04T09:07:21.501580Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.501580Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:6871be183020f5c5a8a1706b34a6cb093ae5986d7197cf0be85a8ebcec2a24d4","observation_id":"151f9c16-5ffd-486f-b768-ecfc5d1333b6","resolution":{"observed_at":"2026-08-04T09:07:21.501580Z","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":"2026-08-04T09:07:21.568709Z","title":"Bartoll, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.568709Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:843e47dae6f53513e4d0f173aa467a1fc294316948cf345382addbf1a739528a","observation_id":"1aaeb585-68fb-415f-a83a-05610bf9078f","resolution":{"observed_at":"2026-08-04T09:07:21.568709Z","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":"2026-08-04T09:07:21.669358Z","title":"Bauer and K","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.669358Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:e268d8c7b71514a1b0d75afbd2a5c370e69fadec4b08c55644e54e019bac7076","observation_id":"a7326abe-df9c-400f-8fc7-f8b13068af7e","resolution":{"observed_at":"2026-08-04T09:07:21.669358Z","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":"2026-08-04T09:07:21.740630Z","title":"Bayart and ´E","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.740630Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:774ff5e0595fea4e728bede3f7d9f463973b9c2f67715f89e23905450faeeadd","observation_id":"79e3d19b-d448-4636-ad86-6c3ee280b895","resolution":{"observed_at":"2026-08-04T09:07:21.740630Z","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":"2026-08-04T09:07:21.842917Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.842917Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:838ca6ee0f56c74078f3356c70c298399c43b214b859fb81503ed54426679a95","observation_id":"e6bf30e0-a67d-4e69-b0fc-eaa0dee9c9e5","resolution":{"observed_at":"2026-08-04T09:07:21.842917Z","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":"2026-08-04T09:07:21.916616Z","title":"B` es, Q","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:21.916616Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:2a83eafc6c666dee8d6229a8de2bc5d4c7760746f187c84cddc773d4a19eab08","observation_id":"bdb7f4c5-5c02-4813-b786-f7f9e53f19b8","resolution":{"observed_at":"2026-08-04T09:07:21.916616Z","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":"2026-08-04T09:07:22.062065Z","title":"Billingsley.Convergence of Probability Measures","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.062065Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:077b7cc4cb9277e10372903b21b8a69024039a8bbc103f856f46884cd711bddb","observation_id":"0ce560c2-c34a-4215-8aa2-a9432e8985d6","resolution":{"observed_at":"2026-08-04T09:07:22.062065Z","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":"2026-08-04T09:07:22.169808Z","title":"Bonilla, K.-G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.169808Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:347e78d2ad646cc717a67ec28739c368826284bc8187fc1c4da8b5622dc1e65a","observation_id":"8af6f5c6-49e3-41f9-b4ac-fd90d73ffe48","resolution":{"observed_at":"2026-08-04T09:07:22.169808Z","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":"2026-08-04T09:07:22.245689Z","title":"Cardeccia and S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.245689Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:0c2c9c69436b70a9490779e401b62867c06ffa4cd9f949a485cbcf6788fd9f45","observation_id":"4c4e26c4-fdeb-47d4-9c4f-46463df9f850","resolution":{"observed_at":"2026-08-04T09:07:22.245689Z","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":"2026-08-04T09:07:22.319575Z","title":"Chen.Fuzzy Values and Their Applications to Fuzzy Reasoning","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.319575Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:35af14ace3b628470a0eabfcfb99ea1b7ef13950975da93b9ec28807c63bb1e7","observation_id":"286349d2-b311-4c10-b9b0-7b0d59a5e849","resolution":{"observed_at":"2026-08-04T09:07:22.319575Z","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":"2026-08-04T09:07:22.422889Z","title":"Costakis, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.422889Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:a4750a439eb04c37288eca6f19480a43abf24fdf4b961bdb5bc4dedd6f00be88","observation_id":"bc34ab12-9fc5-4037-ba5b-0890376d3aae","resolution":{"observed_at":"2026-08-04T09:07:22.422889Z","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":"2026-08-04T09:07:22.499887Z","title":"Fu and Z","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.499887Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:384eac264fbdbf3c723233c6e00d2e47b49e0c1a09cf4dddc248f8d99c87c5bf","observation_id":"d417fe31-9e83-4dd4-bfcd-6bae50377e65","resolution":{"observed_at":"2026-08-04T09:07:22.499887Z","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":"2026-08-04T09:07:22.602896Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.602896Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:e5ba612317ed1c9a68e83a38d9a8fa14986439319833b8ba752057fefe18d61a","observation_id":"2921fb73-8748-4ecb-8e43-17ac667628ce","resolution":{"observed_at":"2026-08-04T09:07:22.602896Z","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":"2026-08-04T09:07:22.673538Z","title":"Greco, M","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.673538Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:cb8a121905b7aaff15b51767e3281b8a898e25f8489fd034000c9e6fefe1b49a","observation_id":"6e16a184-a153-4348-b881-2a70bf05de63","resolution":{"observed_at":"2026-08-04T09:07:22.673538Z","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":"2026-08-04T09:07:22.740379Z","title":"Grivaux and A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.740379Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:32d68ef693a392b34679e69eddb1bf67aadc6827635fc05e9fff0666b094ad85","observation_id":"9caeaab7-9743-4b2d-9785-707d709838ad","resolution":{"observed_at":"2026-08-04T09:07:22.740379Z","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":"2026-08-04T09:07:22.846098Z","title":"Grivaux, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.846098Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:117f58b628340140b88aa0f87add6b90b8690f07794e68505798fb2d27776481","observation_id":"d57efb12-4d65-44a0-a861-9ba4ed908293","resolution":{"observed_at":"2026-08-04T09:07:22.846098Z","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":"2026-08-04T09:07:22.951055Z","title":"Grivaux, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:22.951055Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:85da6e056c8718856de75a6b084462d7661afafcf7ca1e3e156eecec7dc3a123","observation_id":"7191e00e-1ed6-4b56-959d-35caa56c5feb","resolution":{"observed_at":"2026-08-04T09:07:22.951055Z","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":"2026-08-04T09:07:23.052931Z","title":"Grosse-Erdmann and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.052931Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:8b9984569660db7410dc5d6bae820b60138ba6b5cc90764d9a516d8555ff1774","observation_id":"27384079-d4f3-412a-92e3-a69a55bfa941","resolution":{"observed_at":"2026-08-04T09:07:23.052931Z","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":"2026-08-04T09:07:23.154080Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.154080Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:1ebfd750bee90a71dbb019239c99541f69cbca48e1dfe7e1c6c31ce50e76d32a","observation_id":"9754f592-b6b3-44fe-99ce-684a10f1a7f5","resolution":{"observed_at":"2026-08-04T09:07:23.154080Z","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":"2026-08-04T09:07:23.260853Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.260853Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:9c6aefb42b84845416b7f03904a8d5cb913547cf6dc3d55fd0bf9c14a012acf2","observation_id":"0915f0b1-57d4-4129-bb12-1f258540b176","resolution":{"observed_at":"2026-08-04T09:07:23.260853Z","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":"2026-08-04T09:07:23.325697Z","title":"Huang, H","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.325697Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:ee7e56cd79b76079aa8a3896086c2b98b6e2935c1c36779160f6fe3e4b5c2134","observation_id":"350895a3-515b-4025-a0a0-e4bbd406ad28","resolution":{"observed_at":"2026-08-04T09:07:23.325697Z","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":"2026-08-04T09:07:23.428916Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.428916Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:b49b3ba3bec24e6f0aaac759cf0f38fdb63a67893f693ccbb9b459efddc3cf07","observation_id":"72d6029d-312a-4dab-a69b-1441bf226380","resolution":{"observed_at":"2026-08-04T09:07:23.428916Z","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":"2026-08-04T09:07:23.535581Z","title":"Illanes and S","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.535581Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:88f4c3381b7a2852a66a494abbed0518945909a2db03375e307d873e020578a4","observation_id":"8a24cb49-a990-4c43-b894-494258534746","resolution":{"observed_at":"2026-08-04T09:07:23.535581Z","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":"2026-08-04T09:07:23.556793Z","title":"Jard´ on and I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.556793Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:c4c7db680e059c9d80364ac0ec2026921d26922900a7a10462bee457aa42e44d","observation_id":"d7f00701-6dc3-48e2-8116-2433a5865c44","resolution":{"observed_at":"2026-08-04T09:07:23.556793Z","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":"2026-08-04T09:07:23.635290Z","title":"Jard´ on and I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.635290Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:ce1c0f9bcf86b924dd71f66960897424ae7bf5d45f036a155a14b044abefc719","observation_id":"e01b32ec-3fac-486c-a3be-19c244d860de","resolution":{"observed_at":"2026-08-04T09:07:23.635290Z","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":"2026-08-04T09:07:23.796497Z","title":"Jard´ on, I","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.796497Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:29e420279387321ad2fc24a1188eff15687e437c97adfdbbe2c59c2eaa8c7263","observation_id":"7a440c08-31db-4727-9d62-d04b4aeec6cc","resolution":{"observed_at":"2026-08-04T09:07:23.796497Z","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":"2026-08-04T09:07:23.957124Z","title":"Jard´ on, I","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:23.957124Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:828a8a0bd073232b2b0cf7d663ed9c6cee0e2cc8aed1fa5fd3c21e3bd0f44c33","observation_id":"fa309dc9-ac01-410d-b7a8-79d5d92f2fba","resolution":{"observed_at":"2026-08-04T09:07:23.957124Z","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":"2026-08-04T09:07:24.122949Z","title":"Jard´ on, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.122949Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:5198d75a6d9bf3a5d3f6fc6a1caf0cce7ce85a4892a9c0a3b121aea57d8a94a9","observation_id":"a268bd3f-490c-4ff7-9e81-135a136e9d07","resolution":{"observed_at":"2026-08-04T09:07:24.122949Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.17037","last_updated":"2024-11-26T02:02:39Z","snapshot_observed_at":"2026-08-12T12:33:25.925557Z","submitted_at":"2024-11-26T02:02:39Z","title":"Transitivity of some uniformities on fuzzy sets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.17037","snapshot_observed_at":"2026-08-04T09:07:24.285001Z","title":"Jard´ on, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.285001Z"},"links":{"cited_paper":"/paper/2411.17037","citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:bef54f87ee0204f48b09c2aeac7738083f6b58b97d5cad0e0bba22af1ee57819","observation_id":"640525e6-885c-4c59-bfa6-74a984a604a1","resolution":{"observed_at":"2026-08-04T09:07:24.285001Z","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":"2026-08-04T09:07:24.427020Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.427020Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:a5da36e07e7194b4fbe8bdd0175ace72fea7ffbc0bbb66c73eacf2a607735651","observation_id":"dec15913-0417-482b-8eb1-ae6a257ce70a","resolution":{"observed_at":"2026-08-04T09:07:24.427020Z","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":"2026-08-04T09:07:24.433865Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.433865Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:151455cd6ed91c3df0b78b9639c57cd869642127ea87de471851bec9e945c201","observation_id":"bb8d8216-69a7-4db4-ae6c-826f94369406","resolution":{"observed_at":"2026-08-04T09:07:24.433865Z","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":"2026-08-04T09:07:24.550643Z","title":"Kwietniak, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.550643Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:892bc765e3207396c85944ab8f81d488122cd5ad721703f94ad22c1eb468b452","observation_id":"b4d5f34b-82b9-4c4d-94dd-1932d841b43e","resolution":{"observed_at":"2026-08-04T09:07:24.550643Z","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":"2026-08-04T09:07:24.638067Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.638067Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:7fc9253a4063a84e6202f45ec6f8979b078f826821a94b39080389eae09a782e","observation_id":"e08ab966-61e3-4447-a7c6-a3faf0f794fa","resolution":{"observed_at":"2026-08-04T09:07:24.638067Z","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":"2026-08-04T09:07:24.654840Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.654840Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:d899ab3e4b41207f0355d98866e06f8c75f72a99e6a77c943ccf904468882afa","observation_id":"54c58d03-258c-455e-971c-ab0fcba44f26","resolution":{"observed_at":"2026-08-04T09:07:24.654840Z","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":"2026-08-04T09:07:24.721817Z","title":"L´ opez-Mart ´ ınez","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.721817Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:50cd7063f6abd09772ed771dc6c9b8219e37db09da1b092b57dbc982eb610b65","observation_id":"c30ec460-2e15-4ea9-a557-7666fba89ecf","resolution":{"observed_at":"2026-08-04T09:07:24.721817Z","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":"2026-08-04T09:07:24.741860Z","title":"L´ opez-Mart ´ ınez","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.741860Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:d5c15e7699e25b7e273abd9eb0c0bfc9d1cc7266123e073e184773f23771583b","observation_id":"036eafd0-fa2b-4775-a14d-6b9967660ec4","resolution":{"observed_at":"2026-08-04T09:07:24.741860Z","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":"2026-08-04T09:07:24.753707Z","title":"L´ opez-Mart ´ ınez","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.753707Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:b713b84e1004582135835fa7253c3bf11683977fab229e21a3ad2dc188084e4e","observation_id":"2727b3e6-d5bf-45cc-896c-bfef8b94e482","resolution":{"observed_at":"2026-08-04T09:07:24.753707Z","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":"2026-08-04T09:07:24.758874Z","title":"L´ opez-Mart ´ ınez and Q","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.758874Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:f91a08bad511b3c34955401a65565c83325de55413d98c55d052838fc22a9bd0","observation_id":"f8c075e0-f7ff-46b8-a4b9-27ec5359237a","resolution":{"observed_at":"2026-08-04T09:07:24.758874Z","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":"2026-08-04T09:07:24.760991Z","title":"Mart ´ ınez-Gim´ enez, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.760991Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:e9d025e3dd6b3c5dfd8a5251f93d05cdc357a215dba590e4e6c2149dada12d31","observation_id":"277b658f-36f2-47fe-b06a-b798b3f62c68","resolution":{"observed_at":"2026-08-04T09:07:24.760991Z","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":"2026-08-04T09:07:24.763215Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.763215Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:4a1bb63ca58aa6d8d2b71b47e68bf3b60f42aed5babb9386f76acca9f03f85dc","observation_id":"95ccb5c3-30d3-453c-af63-642556ffed26","resolution":{"observed_at":"2026-08-04T09:07:24.763215Z","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":"2026-08-04T09:07:24.765599Z","title":"Rom´ an-Flores and Y","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.765599Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:02d82b823985ebcddacae114da2e3a919f5a58f506bda76de95611fc5aefe6dd","observation_id":"81e647b0-6a28-4825-b02d-a23c2f42eff5","resolution":{"observed_at":"2026-08-04T09:07:24.765599Z","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":"2026-08-04T09:07:24.767852Z","title":null,"venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.767852Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:73fd4bf81856baefad5ac0169ca77ec01e136ee75afbeb8a3de4d776949a6eb7","observation_id":"b95d56d2-aac8-47cd-9dc0-88e2ed42b8f2","resolution":{"observed_at":"2026-08-04T09:07:24.767852Z","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":"2026-08-04T09:07:24.770144Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T09:07:24.770144Z"},"links":{"citing_paper":"/paper/2510.17990"},"observation_digest":"sha256:34f62c75d10c10dfb3566d3e99206835a4978d11103a7ec1c90b8ffa188e873a","observation_id":"46458279-dba3-4c82-8b80-24861ccfc63f","resolution":{"observed_at":"2026-08-04T09:07:24.770144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.17990","last_updated":"2026-07-10T11:11:57Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-07T15:57:26.334790Z","submitted_at":"2025-10-20T18:10:55Z","title":"Topological dynamics for the endograph metric I: Equivalences with other metrics"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":45},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2510.17990."}