{"as_of":"2026-08-14T23:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8e2784eb7bec5eac062b8b0bad3ac8e930a754e144ef514f368c3c35ff4e37b5","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T15:53:25.366963Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2509.17976/citation-record","integrity":"/paper/2509.17976/integrity","json":"/paper/2509.17976/citation-record.json","paper":"/paper/2509.17976"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T15:53:19.886204Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:19.886204Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:005b3139c022f1cc3cf999912fd3dcc2a05337dcc2114047828f9d709bdbcecb","observation_id":"5599f899-4d7d-4be4-9302-8c4a9bf39ea5","resolution":{"observed_at":"2026-08-04T15:53:19.886204Z","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":"2026-08-04T15:53:20.023279Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.023279Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:c0b49359c1af1c74e42b681730a0b5aa7f4a64da19aa3ef9fb78c7f0c403b56c","observation_id":"dda4340d-e544-4f14-8a0f-018682818114","resolution":{"observed_at":"2026-08-04T15:53:20.023279Z","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":"2026-08-04T15:53:20.202732Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.202732Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:b2af198cd2753e52b01a1bc0f9a2b73ac24192a6f997ea9e5bcf642203870ef4","observation_id":"897ed569-fa5f-4d81-b7c4-1241b26644a7","resolution":{"observed_at":"2026-08-04T15:53:20.202732Z","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":"2026-08-04T15:53:20.362132Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.362132Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:6344337cd5788307af784f886d4d1805385c2719067529ce28bc67f30eb9f4f0","observation_id":"01c81ee7-8581-494c-a6f8-7628144987bc","resolution":{"observed_at":"2026-08-04T15:53:20.362132Z","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":"2026-08-04T15:53:20.470045Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.470045Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:bc963b01dfe7ba73a86c08d0e19a453929aaf6c78f6ee65c541a6a04bc9fc082","observation_id":"a3d75c3c-fba1-469c-9883-78d84fbbd6b2","resolution":{"observed_at":"2026-08-04T15:53:20.470045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"solv-int/9810014","last_updated":"1998-10-19T13:49:43Z","snapshot_observed_at":"2026-07-07T07:30:57.010465Z","submitted_at":"1998-10-19T13:49:43Z","title":"On Discretizations of the Vector Nonlinear Schrodinger Equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"solv-int/9810014","snapshot_observed_at":"2026-08-04T15:53:20.614414Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.614414Z"},"links":{"cited_paper":"/paper/solv-int/9810014","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:6e295900fa5c10885dfb6dd3e2b4b36ff8a475b3f19797470e2eabf4c0a6fd4e","observation_id":"ec01cc96-c502-4e41-bc52-71b2a4925524","resolution":{"observed_at":"2026-08-04T15:53:20.614414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"solv-int/9810020","last_updated":"1998-10-29T17:38:25Z","snapshot_observed_at":"2026-08-13T08:45:32.069385Z","submitted_at":"1998-10-29T17:38:25Z","title":"On Integrability and Chaos in Discrete Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"solv-int/9810020","snapshot_observed_at":"2026-08-04T15:53:20.771287Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.771287Z"},"links":{"cited_paper":"/paper/solv-int/9810020","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:49a19d14520d2e7d3db63f4bf6c9b45860406c48de8add243cb50170a7445503","observation_id":"b5098055-97c8-417c-9f84-e19d7c67d649","resolution":{"observed_at":"2026-08-04T15:53:20.771287Z","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":"2026-08-04T15:53:20.851303Z","title":"Phys.63(2018), 114, 10 pages","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.851303Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:e760a356aac11670075c4c3554a6d5b4713be7c9559f7d79843821a05ccb5ea3","observation_id":"5f91121b-aaed-45f7-964c-e7042b63b7aa","resolution":{"observed_at":"2026-08-04T15:53:20.851303Z","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":"2026-08-04T15:53:20.973860Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:20.973860Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:7280bd4037cacfbcc026a09b239b49d184a56ed1b38ed1c97feb292a88970650","observation_id":"57d2dc5e-5b15-4058-a35b-7b9f7fcc694a","resolution":{"observed_at":"2026-08-04T15:53:20.973860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.10975","last_updated":"2017-05-31T08:10:26Z","snapshot_observed_at":"2026-08-14T20:57:03.066939Z","submitted_at":"2017-05-31T08:10:26Z","title":"Coupled Ablowitz-Ladik equations with branched dispersion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.10975","snapshot_observed_at":"2026-08-04T15:53:21.068644Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.068644Z"},"links":{"cited_paper":"/paper/1705.10975","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:de69200337904229f06aa6b548bb7e18e54a78763ae3f53c652908e55e36577d","observation_id":"4fb7f92c-63f3-4a46-aae1-af204f6b1710","resolution":{"observed_at":"2026-08-04T15:53:21.068644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0703096","last_updated":"2007-03-09T13:31:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2007-03-09T13:31:04Z","title":"Making Sense of Non-Hermitian Hamiltonians","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0703096","snapshot_observed_at":"2026-08-04T15:53:21.257054Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.257054Z"},"links":{"cited_paper":"/paper/hep-th/0703096","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:833829b7e6cadc02fbfef9fe0f0e1ae5b7830148c22d7e545c45ccaf67d0d57f","observation_id":"f1f60fef-9911-4176-a7c2-e811c0e93cf9","resolution":{"observed_at":"2026-08-04T15:53:21.257054Z","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":"2026-08-04T15:53:21.436732Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.436732Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:c9e5667455c1a435ae16605a6ea9df5ce17bfd033f4f4fe69adea796fb1a28ba","observation_id":"1362c190-8dfc-4e3a-af5f-9b33e9cf3a74","resolution":{"observed_at":"2026-08-04T15:53:21.436732Z","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":"2026-08-04T15:53:21.486622Z","title":"Mater.32(2020), 2001893, 26 pages","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.486622Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:eb2bcb187007098d0c0753d1c4f9b7463ece16633c9c3921c1f39feb66803f03","observation_id":"d59872d5-1e13-4148-a005-46afd33114d9","resolution":{"observed_at":"2026-08-04T15:53:21.486622Z","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":"2026-08-04T15:53:21.663562Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.663562Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:4635306effb192c2c065fc90711e9e0dd042ee21b8f2a681b63231388c41008a","observation_id":"23e4bf99-1717-4ee5-a045-a26eacd8903c","resolution":{"observed_at":"2026-08-04T15:53:21.663562Z","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":"2026-08-04T15:53:21.817977Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:21.817977Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:dc7374fa742a0190e740632ea8e9b43fecf10135dc67d9256d9063cb7a9f5bc4","observation_id":"5a4aacc2-6f2a-4be4-a2ad-5558477eb6b8","resolution":{"observed_at":"2026-08-04T15:53:21.817977Z","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":"2026-08-04T15:53:22.047255Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.047255Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:5157595b1f0aaa5b328c05049da0d498ac2cf2c4fa112913d00ad836c175c904","observation_id":"3edf2cd2-6c9e-4a2a-808a-21bce938a2f3","resolution":{"observed_at":"2026-08-04T15:53:22.047255Z","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":"2026-08-04T15:53:22.150886Z","title":"and Math","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.150886Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:2e2fa7d52d7a241639d4a6a988a83250f2024fbf62de7958833a5a480ead0330","observation_id":"c2f22f27-c53c-445a-ba16-4bcd65b08b30","resolution":{"observed_at":"2026-08-04T15:53:22.150886Z","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":"2026-08-04T15:53:22.219059Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.219059Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:59fdea25e4430411f158793b1f0a3413e4493b9c2e194ed06d75cb72582bb753","observation_id":"97110e3d-1ba6-479f-9257-2a8ce336c14a","resolution":{"observed_at":"2026-08-04T15:53:22.219059Z","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":"2026-08-04T15:53:22.307763Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.307763Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:ef265f7e7bf9eeefaf149d27f0c2ffd46ab9b7ba288642a9f239e87e943c6061","observation_id":"f799f4ae-76e6-4eca-ab60-413f0bf403f6","resolution":{"observed_at":"2026-08-04T15:53:22.307763Z","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":"2026-08-04T15:53:22.422982Z","title":"Franklin Inst.329(1992), 923–966","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.422982Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:4573fcb888b1f667cde55ffabc8640f2b28b5ed6a8cdd54f5b5b20db465ae8b9","observation_id":"fca86043-b981-4c29-97f8-d0b145d0e91e","resolution":{"observed_at":"2026-08-04T15:53:22.422982Z","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":"2026-08-04T15:53:22.524525Z","title":"Phys.80(1933), 763–791","venue":null,"work_id":null,"year":1933},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.524525Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:30368c8b12f88047c1fa3296868de27302c6d358a164ddc3fc9228a75fe15da7","observation_id":"b91d2c6a-8f29-41e9-b643-ea61a844a9e0","resolution":{"observed_at":"2026-08-04T15:53:22.524525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.11882","last_updated":"2020-04-24T17:47:15Z","snapshot_observed_at":"2026-08-14T17:27:28.002946Z","submitted_at":"2020-04-24T17:47:15Z","title":"Molecular dynamics study of the competitive binding of hydrogen peroxide and water molecules with the DNA phosphate groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.11882","snapshot_observed_at":"2026-08-04T15:53:22.635184Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.635184Z"},"links":{"cited_paper":"/paper/2004.11882","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:f21b33bd0fdded148e6e132175a603d4af9150db86ac7c4e02da8c424498f52f","observation_id":"0a17919c-f478-4882-83fe-b11254a64c01","resolution":{"observed_at":"2026-08-04T15:53:22.635184Z","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":"2026-08-04T15:53:22.710880Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.710880Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:8ca4dc1204c4c91d4d8cddcde84bdf2a4960802cf34a2f2eb747170910a2d023","observation_id":"3145b212-025a-40eb-a812-3d28b893ef2e","resolution":{"observed_at":"2026-08-04T15:53:22.710880Z","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":"2026-08-04T15:53:22.771364Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.771364Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:dfc04d0e54767f38e1c5a12c73d08f51feab1d8563d6e12ff377c3455920da76","observation_id":"a6989ac1-e380-44fa-9f32-1e09e19e8904","resolution":{"observed_at":"2026-08-04T15:53:22.771364Z","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":"2026-08-04T15:53:22.874692Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.874692Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:4de303fd708b39819c807acbeeae4e384f2f61dd07e34b61bae3d4bb88eafab4","observation_id":"978d3dca-d278-4805-9d3a-19d61fc6de05","resolution":{"observed_at":"2026-08-04T15:53:22.874692Z","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":"2026-08-04T15:53:22.986491Z","title":"Rep.18(1975), 1–123","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:22.986491Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:40ed5c7338ee20403f7a315ba60aafeb3f72191b4b4209cb87ba9baee60cd9f3","observation_id":"e6e18bc8-ee0c-43e4-aab4-d5566d4b3994","resolution":{"observed_at":"2026-08-04T15:53:22.986491Z","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":"2026-08-04T15:53:23.054689Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.054689Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:00d5ef28cc747aaae451e390e8bc8feb9b782990e16409c69004321fe2608014","observation_id":"0c3846e2-a39c-4e37-8e9a-d1d72aca314e","resolution":{"observed_at":"2026-08-04T15:53:23.054689Z","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":"2026-08-04T15:53:23.132870Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.132870Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:3e62d1a4a18fc36c8270a8e05e0f94c2a501f68ede8973c8bf4a3203d954990e","observation_id":"ed715722-b370-4f87-91b3-58aa3d615559","resolution":{"observed_at":"2026-08-04T15:53:23.132870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"solv-int/9903013","last_updated":"1999-03-18T16:39:08Z","snapshot_observed_at":"2026-08-08T21:03:41.478040Z","submitted_at":"1999-03-18T16:39:08Z","title":"Integrable semi-discretization of the coupled nonlinear Schr\\\"{o}dinger equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"solv-int/9903013","snapshot_observed_at":"2026-08-04T15:53:23.199804Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.199804Z"},"links":{"cited_paper":"/paper/solv-int/9903013","citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:5bdd86b290f4fa7c3e57bddb86cfc7a0ec20a6498c89220e4aeff912db46b727","observation_id":"82821fb3-786e-4e99-a8a5-23d7635a7819","resolution":{"observed_at":"2026-08-04T15:53:23.199804Z","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":"2026-08-04T15:53:23.285184Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.285184Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:3b18a2fa409dfbd1ed6efaff7026e9985790e253a41c89304c70a51fca8ccfd5","observation_id":"2a2a2f76-2620-4661-8735-69e6ffa315f7","resolution":{"observed_at":"2026-08-04T15:53:23.285184Z","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":"2026-08-04T15:53:23.352329Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.352329Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:275d3e2af834b0b5f748efc7ff51fe72d453bab8ecdd25ce03e308683a66b731","observation_id":"b19a5dca-b2fb-4528-8333-903bd13561e4","resolution":{"observed_at":"2026-08-04T15:53:23.352329Z","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":"2026-08-04T15:53:23.444133Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.444133Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:88101a9cb242b6752d4928c79780a16a0efab876d10ff17f05beecc4c535108f","observation_id":"226e60fb-31b0-47ca-b390-112f841347c1","resolution":{"observed_at":"2026-08-04T15:53:23.444133Z","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":"2026-08-04T15:53:23.552248Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.552248Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:c4afebc36462215595658684f5e69112dcdeef133c6036503ebd8c0c1d4e7b91","observation_id":"b77b52ac-228c-48b7-8d9a-60e72a28b44f","resolution":{"observed_at":"2026-08-04T15:53:23.552248Z","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":"2026-08-04T15:53:23.628681Z","title":"Local conservation laws,J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.628681Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:a96804a5950560f23feb80fda0821c402dc61d6d9d6e3150968b73de87f968ce","observation_id":"d6c0899c-3fbc-4e49-a362-dbcc749791bf","resolution":{"observed_at":"2026-08-04T15:53:23.628681Z","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":"2026-08-04T15:53:23.735153Z","title":"Systems of obverse type,J","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.735153Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:153665bd6d140692928f78f8abcb220c11b672e6fcc0267356ebc56be21cf8eb","observation_id":"d196fc07-177e-482e-aa2d-23c281f7b9ed","resolution":{"observed_at":"2026-08-04T15:53:23.735153Z","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":"2026-08-04T15:53:23.808956Z","title":"Nonlinear Math","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.808956Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:223e90a2693790189e271bdfa37f0a848eac113a1146bf5e49524a405ff86ce2","observation_id":"8dfc113d-4ca6-40a6-9c1f-04cabf043240","resolution":{"observed_at":"2026-08-04T15:53:23.808956Z","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":"2026-08-04T15:53:23.946344Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:23.946344Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:c32d7b592604d7c73fed5fdb5f797ada29cdf99829629af6b2ce2b6e55eff45e","observation_id":"48576fa7-5a27-44ee-85d5-280134b05c37","resolution":{"observed_at":"2026-08-04T15:53:23.946344Z","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":"2026-08-04T15:53:24.049530Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.049530Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:dde61448915e6e91b2a29afaa60b4d7e47b25c25cb2f0de3331ff411aa4003d6","observation_id":"1baedd57-0242-4bcb-8faf-1488b87c1576","resolution":{"observed_at":"2026-08-04T15:53:24.049530Z","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":"2026-08-04T15:53:24.148067Z","title":"Nonlinear Math","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.148067Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:ab81e1ba28c535866e0bde9b0c2a34f0e36e5ae7ddc5cc523e7a25bb30b3d740","observation_id":"5b4e0f00-8ae3-4c13-b057-c4e06ea22d2c","resolution":{"observed_at":"2026-08-04T15:53:24.148067Z","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":"2026-08-04T15:53:24.222726Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.222726Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:4950eecb0633f3cc7fbb00e68ccc228f68ed335dd3f6b4eba920487edd3458a8","observation_id":"f13dc5b4-953e-4845-93e0-867f5380cd4c","resolution":{"observed_at":"2026-08-04T15:53:24.222726Z","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":"2026-08-04T15:53:24.324289Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.324289Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:ed37067a1970de6cdd8047745e4a336c458e6879f999a0123bd1d844cf6b436d","observation_id":"3573c2aa-fb99-4928-9dd0-036566c83e80","resolution":{"observed_at":"2026-08-04T15:53:24.324289Z","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":"2026-08-04T15:53:24.435867Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.435867Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:674202ff2f9b469d27bae38195ff66ff084cff5770634ceab54b834262ada01a","observation_id":"136cdd9a-7241-4413-9864-a5a3230b7134","resolution":{"observed_at":"2026-08-04T15:53:24.435867Z","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":"2026-08-04T15:53:24.510826Z","title":"Two-component nonlinear system with the on-site and spatially distributed inertial mass parameters,Ukr","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.510826Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:178cf3e5986abcff8c92d9ac392ab030ccd5ca62b70157ae0282a6640e5c527d","observation_id":"dacdae3c-fa32-41d1-b8ef-a1e27fff7d86","resolution":{"observed_at":"2026-08-04T15:53:24.510826Z","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":"2026-08-04T15:53:24.621390Z","title":"Parametrically driven nonlinear system of pseudo-excitations on a two-leg ladder lattice,Ukr","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.621390Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:aa101886f5c04b41e2dcb3ea8d81bf5da7e3b3322e112cbe0078f81e97063e25","observation_id":"2208b512-275d-4579-830d-ccb5effcf06e","resolution":{"observed_at":"2026-08-04T15:53:24.621390Z","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":"2026-08-04T15:53:24.697430Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.697430Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:612e58778767520ec0e5a8ca4b3fbf812209bed6bb833e1ce709f746d8ffc134","observation_id":"42f5f0cd-77e3-467d-9b09-8eadf78380d0","resolution":{"observed_at":"2026-08-04T15:53:24.697430Z","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":"2026-08-04T15:53:24.792025Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.792025Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:b7f90d029dbfcab00fd77f83ad00e85f9debdfdd5c67d3696e212030725259ef","observation_id":"6560cae7-cdfd-48bb-a9d9-e7d119d42a6f","resolution":{"observed_at":"2026-08-04T15:53:24.792025Z","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":"2026-08-04T15:53:24.903215Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:24.903215Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:851e6c011eaaf295d0502165b0898d1fb447fcf5fba9f5982ed12aa9a3e38d04","observation_id":"d01bff04-22c2-442d-8594-eaca4d87fbbd","resolution":{"observed_at":"2026-08-04T15:53:24.903215Z","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":"2026-08-04T15:53:25.009335Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:25.009335Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:ee4ee22b59af8ff73bf9c715f5f1bde7c36eb692be92d47da2cbffd4f4468084","observation_id":"08f06653-b069-40a9-9fdc-ba4d48ba0a20","resolution":{"observed_at":"2026-08-04T15:53:25.009335Z","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":"2026-08-04T15:53:25.112998Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:25.112998Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:443a3318518d98c30b6de0c91db4bcbf1916e52f58ae68e358c7501c9cea4af2","observation_id":"76ef6413-432f-4ec8-a985-1bd58be43673","resolution":{"observed_at":"2026-08-04T15:53:25.112998Z","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":"2026-08-04T15:53:25.191560Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:25.191560Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:06f0ff52386eea2f37b28a5d25de1c72c76786ad0f572abdfade272fa5e3c731","observation_id":"90383761-4b94-4869-8236-432eb91d9bb8","resolution":{"observed_at":"2026-08-04T15:53:25.191560Z","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":"2026-08-04T15:53:25.280379Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:25.280379Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:7aff898cca8dd2df3c605ca8166ca7101b1ba89812ed94f63585ec2dc134aa82","observation_id":"28659d1f-5717-4109-b030-1c045d0376f7","resolution":{"observed_at":"2026-08-04T15:53:25.280379Z","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":"2026-08-04T15:53:25.366963Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T15:53:25.366963Z"},"links":{"citing_paper":"/paper/2509.17976"},"observation_digest":"sha256:f7e2e6b70fed671e907bcc23df664c6a547eee5757dd3a8825585e9f4bd18a46","observation_id":"4ccf4364-ca61-4833-a9e5-bb8fc16a25cf","resolution":{"observed_at":"2026-08-04T15:53:25.366963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.17976","last_updated":"2026-06-08T16:20:08Z","latest_version":4,"primary_category":"nlin.SI","snapshot_observed_at":"2026-08-13T21:01:41.146615Z","submitted_at":"2025-09-22T16:23:56Z","title":"Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":52,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":52},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2509.17976."}