{"as_of":"2026-08-13T17:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:791f0e22a1a82292fc2625e9a33a59557c6f96fc83b7566e73f7a9b55f941154","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:22:42.656038Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2501.02164/citation-record","integrity":"/paper/2501.02164/integrity","json":"/paper/2501.02164/citation-record.json","paper":"/paper/2501.02164"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.818058Z","title":null,"venue":null,"work_id":"1dabe9dc-0e42-4804-b9df-d07888f4b5cf","year":null},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.614874Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:91939218bec6879c338dc9378b947b20b25c61f58ccf19890715d1121cc81bf1","observation_id":"32260ded-951b-4e63-8a86-bf78f602dfb9","resolution":{"observed_at":"2026-08-10T22:22:42.822960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.803061Z","title":null,"venue":null,"work_id":"277a16e0-e5d3-457b-b0ca-44366f958c5d","year":2004},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.620533Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:c1dbf66911ffc9076d1916a976f4a4fd8e0b24aaaef4d19621436ad5fea2fce2","observation_id":"f87c046e-bf58-4c85-b1f0-a78df8a09352","resolution":{"observed_at":"2026-08-10T22:22:42.807703Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-031-25570-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:20.376878Z","title":"and Birkenhake, C.,Abelian Varieties over the Complex Numbers,A Graduate Course, Grundlehren Text Editions, Springer,https://doi.org/10.1007/978-3-031-25570-0","venue":"Grundlehren Text editions","work_id":"20c8cea8-65c1-4a55-93e4-554fa281004d","year":null},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.625497Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:feae60170944c16a29d5e94e58249c689c9ec4b4baba0a94e029a7142769c011","observation_id":"4f6105a4-fd39-4e19-af48-447c4c06497b","resolution":{"observed_at":"2026-08-10T22:22:42.709758Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3842/sigma.2024.087","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.686089Z","title":"and Dongho, J., Algebraic complete integrability of the a_4^ (2) Toda lattice , University of maroua,SIGMA 20 (2024), 087, 26 pages, https://doi.org/10.3842/SIGMA.2024.087","venue":null,"work_id":"750a0dcd-83f9-4e7b-b345-992d3969b2ec","year":2024},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.630618Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:5c3936f1b0d7026113af5173e2bdd18a4700d61de8ca0dcd6f81f9191e1da969","observation_id":"2fbf9710-e63d-4cca-baaa-78b0d6483ff0","resolution":{"observed_at":"2026-08-10T22:22:42.693324Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.786963Z","title":null,"venue":null,"work_id":"a288f6a2-f358-4101-a6c5-9c8668834561","year":1991},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.635636Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:d3aa6212e03dd94087331526494a63f038a86b3dd3f6128cfbc590d73f383659","observation_id":"d7e40313-b78a-4eca-baad-d3b74b063d32","resolution":{"observed_at":"2026-08-10T22:22:42.792307Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.769334Z","title":"Jacobian Theta Functions and Differential Equations, Progr","venue":null,"work_id":"d14d3553-272d-488d-be61-961d8e28eb28","year":1984},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.640810Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:209098382a568c63c422e114c6626a161d001632870ae69ea46437772a462521","observation_id":"0f9312a5-b307-4dcb-8655-aee144669930","resolution":{"observed_at":"2026-08-10T22:22:42.775196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.753279Z","title":null,"venue":null,"work_id":"54f46109-6c46-4671-9834-ba5208936d2b","year":1965},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.645828Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:7f1ee45d222f5fca378af767c942330540130b594d64fb085afed20562bdffaa","observation_id":"1a6959e5-9c2c-44f6-a9e1-f4a8b563db7e","resolution":{"observed_at":"2026-08-10T22:22:42.758174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.737959Z","title":null,"venue":null,"work_id":"948cbe49-e81d-4c95-9a1a-e3043c417455","year":1992},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.650738Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:59e94e9d8fb11fdfabf745ba36250bbca3d90074eae18357ccccd6874e1a3769","observation_id":"d736f8cb-ac72-4d6a-ba8b-2f60eba42dd7","resolution":{"observed_at":"2026-08-10T22:22:42.742694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:22:42.720824Z","title":null,"venue":null,"work_id":"040c844f-a264-4a5e-9f3d-ab75887df902","year":2001},"citing_paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T22:22:42.656038Z"},"links":{"citing_paper":"/paper/2501.02164"},"observation_digest":"sha256:6e7c6f3d31a220f7494f5402c675201dd10bbd57e167b37a56cbd50f5fa4516b","observation_id":"2ba858b9-7201-4577-a321-e797158cc69c","resolution":{"observed_at":"2026-08-10T22:22:42.726285Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.02164","last_updated":"2025-01-04T02:24:10Z","latest_version":1,"primary_category":"nlin.SI","snapshot_observed_at":"2026-08-11T15:15:17.375149Z","submitted_at":"2025-01-04T02:24:10Z","title":"Linearization, separability and Lax pairs representation of $a_4^{(2)}$ Toda lattice"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":1},"total_outbound_references":9},"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 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2501.02164."}