{"as_of":"2026-08-12T22:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e6cb1bf1b496a437e755307b4a6c7f204b54a8c96de9087bae155c4839bf4597","coverage":[{"denominator":162,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T20:19:05.968674Z","state":"measured"},{"denominator":104,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":104,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T23:13:56.691242Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":1,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.05912","snapshot_observed_at":"2026-08-07T23:13:56.691242Z","title":"Einkemmer, K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08951","last_updated":"2025-02-13T04:19:54Z","snapshot_observed_at":"2026-08-12T14:56:22.340893Z","submitted_at":"2025-02-13T04:19:54Z","title":"Asymptotic-Preserving Dynamical Low-Rank Method for the Stiff Nonlinear Boltzmann Equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T23:13:56.691242Z"},"links":{"cited_paper":"/paper/2412.05912","citing_paper":"/paper/2502.08951"},"observation_digest":"sha256:9d7c3b023a6d5938b4f23cf95566ab650168965fb8efc2cc04f705235a3cf093","observation_id":"fb7b2792-4c64-44cb-b7aa-4434d23b0499","resolution":{"observed_at":"2026-08-07T23:13:56.691242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.05912","snapshot_observed_at":"2026-08-07T10:41:29.896847Z","title":"url: https://arxiv.org/abs/2412.05912","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.04732","last_updated":"2025-06-05T08:07:07Z","snapshot_observed_at":"2026-08-12T14:56:33.330494Z","submitted_at":"2025-06-05T08:07:07Z","title":"A Fast, Accurate and Oscillation-free Spectral Collocation Solver for High-dimensional Transport Problems","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T10:41:29.896847Z"},"links":{"cited_paper":"/paper/2412.05912","citing_paper":"/paper/2506.04732"},"observation_digest":"sha256:f06126d8f4e3f87ecd0a4064cde95d3c18b67cce0d434bf47e8946f07ea82026","observation_id":"2539a764-dfbe-44e2-828d-7d50ab9f65fd","resolution":{"observed_at":"2026-08-07T10:41:29.896847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"cited_work":{"arxiv_id":"2412.05912","doi":"10.48550/arxiv.2412.05912","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.05912","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Einkemmer, K","venue":"arXiv (Cornell University)","work_id":"ea8fae6a-58a7-4050-8747-fbec1a073f16","year":2024},"citing_paper":{"arxiv_id":"2507.15192","last_updated":"2026-04-12T23:03:06Z","snapshot_observed_at":"2026-07-06T22:00:04.268893Z","submitted_at":"2025-07-21T02:32:19Z","title":"On the stability of the low-rank projector-splitting integrators for hyperbolic and parabolic equations","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-19T04:44:22.836032Z"},"links":{"cited_paper":"/paper/2412.05912","citing_paper":"/paper/2507.15192"},"observation_digest":"sha256:d6767e1dff0a1418369ca44d3534fba76e122cb80ae1e424eb06c4b9c081e331","observation_id":"fa1e55e0-7918-4e8b-a736-8ed996b65f0c","resolution":{"observed_at":"2026-05-19T04:47:04.296891Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"cited_work":{"arxiv_id":"2412.05912","doi":"10.48550/arxiv.2412.05912","metadata_source":"arxiv_reference","pith_arxiv_id":"2412.05912","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Einkemmer, K","venue":"arXiv (Cornell University)","work_id":"ea8fae6a-58a7-4050-8747-fbec1a073f16","year":2024},"citing_paper":{"arxiv_id":"2605.12833","last_updated":"2026-05-13T00:01:56Z","snapshot_observed_at":"2026-08-04T00:57:04.258894Z","submitted_at":"2026-05-13T00:01:56Z","title":"A practical investigation on time integration in the quantized tensor train format","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-30T21:55:30.043914Z"},"links":{"cited_paper":"/paper/2412.05912","citing_paper":"/paper/2605.12833"},"observation_digest":"sha256:cbda99ecbb66d03670cb24e5d62e7c524bf4ff621546ed96dcfa280284989418","observation_id":"e251a3bc-b2fb-44ca-84b1-8be19e492417","resolution":{"observed_at":"2026-06-30T22:05:05.537473Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.05912/citation-record","integrity":"/paper/2412.05912/integrity","json":"/paper/2412.05912/citation-record.json","paper":"/paper/2412.05912"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.478632Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.478632Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:b114dfc05cf11352a1c7b3aa144f6b535e3e008980bcfff5b414e51da0c5d933","observation_id":"4eb28c40-05b7-4deb-8672-7368e5a481a4","resolution":{"observed_at":"2026-08-11T20:19:05.478632Z","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":"2026-08-11T20:19:05.484328Z","title":"Allmann-Rahn, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.484328Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e0fce54eff7fce51e8c5ca95f3451b0b7bd26e1d40b689c64b961b22a3c7e397","observation_id":"424e383a-cfcd-4845-a70e-aaa48961db45","resolution":{"observed_at":"2026-08-11T20:19:05.484328Z","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":"2026-08-11T20:19:05.489299Z","title":"Appel ¨o and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.489299Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:b3b02a63ec0e23689984dada3835d97251136909d0c6684247cbc9da1ab1a817","observation_id":"b6d54f07-bcc4-4c20-a098-760a2c0d4a15","resolution":{"observed_at":"2026-08-11T20:19:05.489299Z","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":"2026-08-11T20:19:05.494950Z","title":"Armbruster, D","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.494950Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:cbb3fa9dbd6948a43e682e9a4bd8977826d80a43dc1e672e26c409806ee758a5","observation_id":"3f3a96a5-a56d-4c15-b9f7-45d28abc99c8","resolution":{"observed_at":"2026-08-11T20:19:05.494950Z","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":"2026-08-11T20:19:05.500144Z","title":"Armbruster and C","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.500144Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4b5670d161105f6326c6682aa46a403d2ea7a5e2620f7a82b058100b8769383a","observation_id":"0c5eba84-e47f-42e1-b45d-3b8a2592c0e2","resolution":{"observed_at":"2026-08-11T20:19:05.500144Z","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":"2026-08-11T20:19:05.505082Z","title":"Bachmayr, Low-rank tensor methods for partial differential equations , Acta Numerica, 32 (2023), pp","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.505082Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:416f48cc263f0388ce8820d461c23e633579fff342737be8a12fb630bb47a21e","observation_id":"1546dac4-e231-43a3-8ba7-50bd3f395635","resolution":{"observed_at":"2026-08-11T20:19:05.505082Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.14229","last_updated":"2025-05-27T13:24:37Z","snapshot_observed_at":"2026-08-11T01:43:48.611756Z","submitted_at":"2024-03-21T08:40:16Z","title":"Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.14229","snapshot_observed_at":"2026-08-11T20:19:05.510954Z","title":"Bachmayr, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.510954Z"},"links":{"cited_paper":"/paper/2403.14229","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:1bb2ef4bb6cf5243814fc925cb0d99bb3bfbcb5faa8fe549bdaf42c235a7de0b","observation_id":"5e2e5045-6f38-4ca8-ba58-289fd177247f","resolution":{"observed_at":"2026-08-11T20:19:05.510954Z","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":"2026-08-11T20:19:05.515945Z","title":"Ballani, L","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.515945Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:992589993980a0d169d909c252310dddb9806756f4179f9aac8b21ccac96993d","observation_id":"284a9c54-57ff-4821-8e5d-50290d6471ff","resolution":{"observed_at":"2026-08-11T20:19:05.515945Z","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":"2026-08-11T20:19:05.520599Z","title":"Bardos, F","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.520599Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:2f5b19d1d2b8ca30efab64afc691c2baab4f9b31ebf86b2fe21a2526e37b5fd7","observation_id":"3df3e9ec-a36e-44e0-ba66-b98919f6beb4","resolution":{"observed_at":"2026-08-11T20:19:05.520599Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpa.3160460503","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:20.376878Z","title":"Bardos, F","venue":"Communications on Pure and Applied Mathematics","work_id":"0de76779-7b6a-4f24-a982-7191d0e71590","year":1993},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.526337Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:7f4df8fde789c30a92af57660004d5ec50c16043cd467f1cceb0ad3bf84d90f3","observation_id":"4b4bf579-7997-47d1-956e-f7f9dc16fc7b","resolution":{"observed_at":"2026-08-11T20:19:06.593858Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06844","last_updated":"2026-05-29T15:20:16Z","snapshot_observed_at":"2026-08-12T22:03:31.867808Z","submitted_at":"2024-11-11T10:22:17Z","title":"A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06844","snapshot_observed_at":"2026-08-11T20:19:05.531153Z","title":"Baumann, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.531153Z"},"links":{"cited_paper":"/paper/2411.06844","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:786619b9ff7c7d64e0b45551fcec8872ee9927942fe7000e8c414c2e6ccc58d6","observation_id":"e2dbb5a8-30a7-4619-bbb8-94fafa643d1f","resolution":{"observed_at":"2026-08-11T20:19:05.531153Z","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":"2026-08-11T20:19:05.536263Z","title":"Baumann, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.536263Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:1e7c9a0f9be53c7afd3af84c69267d414ada05efab3ad29940c08dd122c59844","observation_id":"0b0f8dd0-6d89-4219-915c-a75c182f8ac1","resolution":{"observed_at":"2026-08-11T20:19:05.536263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.03008","last_updated":"2026-05-22T17:18:43Z","snapshot_observed_at":"2026-08-10T18:27:14.343723Z","submitted_at":"2025-02-05T09:05:38Z","title":"An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem","version":2},"cited_work":{"arxiv_id":"2502.03008","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.03008","snapshot_observed_at":"2026-08-11T20:19:07.391870Z","title":"An energy stable and conservative multiplicative dynamical low-rank discretization for the Su-Olson problem","venue":"math.NA","work_id":"a47fd697-0093-4dcd-a820-d77a126245c9","year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.541636Z"},"links":{"cited_paper":"/paper/2502.03008","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4a40f41b4a39cafac5b3c43cd419cd0bec1e0ac36c5bd0937b9920b6ae01cb63","observation_id":"6bffb9de-f6bf-4583-b985-859276b7f2fc","resolution":{"observed_at":"2026-08-11T20:19:07.398264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.546476Z","title":"Benner, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.546476Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:c1494ac3d4d9200f5061c2fa713dff739a50a917890c8ebbb4f460768866a477","observation_id":"16166468-8202-4551-8b1b-f3f621c5d8f0","resolution":{"observed_at":"2026-08-11T20:19:05.546476Z","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":"2026-08-11T20:19:05.551668Z","title":"Benner, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.551668Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:1d4cf28b7a4fb93cbb9e258e273024b3fc333479dbc152204393378d8cf3452f","observation_id":"24d91184-a1e9-439d-b4b7-9bc8176fb3ad","resolution":{"observed_at":"2026-08-11T20:19:05.551668Z","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":"2026-08-11T20:19:05.556546Z","title":"Berkooz, P","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.556546Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:ce3330d05ab8f01b227f7dbafa047047d08c237f29eb4759d1d0e707a689069c","observation_id":"5757d273-51ed-4c00-b060-e825c54c9977","resolution":{"observed_at":"2026-08-11T20:19:05.556546Z","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":"2026-08-11T20:19:05.561417Z","title":"Bernard, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.561417Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:c2ee3e235e637c9bd345a6b0048f2748f00b924ac420a753e7b846a216311039","observation_id":"3fc44355-5b59-4e31-9155-1ab415c6313b","resolution":{"observed_at":"2026-08-11T20:19:05.561417Z","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":"2026-08-11T20:19:05.566103Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.566103Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:70ccb85c38b226957acf62f63d04b9a0d31be8f6ff7fec2bb844fdd15b3bb38d","observation_id":"eddf2ba4-10b1-4c17-9d5d-308bc4df168e","resolution":{"observed_at":"2026-08-11T20:19:05.566103Z","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":"2026-08-11T20:19:05.570600Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.570600Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:21a7ef0cfc7fc34f8726de78cdb94524f0a939b92cad251e7fd8a823b2c792df","observation_id":"eb4df3df-a413-4406-9a73-eef74156478d","resolution":{"observed_at":"2026-08-11T20:19:05.570600Z","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":"2026-08-11T20:19:05.575256Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.575256Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4a4f20f0edd2650002cc6174d2ec7252caa50bf95fb2b4798ce4f2c402f1410d","observation_id":"80a53138-9222-4b9d-9599-159b78aa8d7b","resolution":{"observed_at":"2026-08-11T20:19:05.575256Z","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":"2026-08-11T20:19:05.580590Z","title":"Camporeale, G","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.580590Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:748a4eaf0bd47a39b334151fcfc5e5d12a69b887ac4c39bff57bbc48b4ce6dd6","observation_id":"06ce9f97-1e9a-43b9-9f4d-c8b6821dfad1","resolution":{"observed_at":"2026-08-11T20:19:05.580590Z","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":"2026-08-11T20:19:05.584861Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.584861Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:9e4d823f396d121818dc0bf462a54b721e62694c9f5fc7f82798dce781cca010","observation_id":"704a207e-6348-4a67-9c8d-3013fb6f239a","resolution":{"observed_at":"2026-08-11T20:19:05.584861Z","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":"2026-08-11T20:19:05.589356Z","title":"Case and P","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.589356Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:41156aabeb9aa22f06b005f66c4c6fdce48d5e0ad1a931d48c502ba80c3bbf40","observation_id":"8ab0fed6-dc57-410d-8926-63b5c926f650","resolution":{"observed_at":"2026-08-11T20:19:05.589356Z","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":"2026-08-11T20:19:05.593786Z","title":"Cassini and L","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.593786Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:c72abd3ce958a8d57625cf8ad2d2913d49264108f0a409474c24ac4e711ed1f7","observation_id":"07e3dec8-35a2-439a-aca2-9279910d3095","resolution":{"observed_at":"2026-08-11T20:19:05.593786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.19929","last_updated":"2025-05-26T12:56:07Z","snapshot_observed_at":"2026-08-09T04:56:46.789999Z","submitted_at":"2025-05-26T12:56:07Z","title":"A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.19929","snapshot_observed_at":"2026-08-11T20:19:05.598215Z","title":"Ceruti, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.598215Z"},"links":{"cited_paper":"/paper/2505.19929","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:ebd5bf40e6172326bacc022d2d5862098f66a24e9d53544f09e0f2dd2625ae54","observation_id":"fa47c37c-0c11-4dde-a1c6-026185bddc60","resolution":{"observed_at":"2026-08-11T20:19:05.598215Z","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":"2026-08-11T20:19:05.603658Z","title":"Ceruti, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.603658Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:39721e0decd2d9d976b278c094233c4cd3b44681400ca7e54d6014d139c03425","observation_id":"6f4a016f-2ba0-4433-b7f5-d6e6be41bb79","resolution":{"observed_at":"2026-08-11T20:19:05.603658Z","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":"2026-08-11T20:19:05.609106Z","title":"Ceruti, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.609106Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:36e748b81906d2e431bd7e6f06a435730046eccd737231dbc9b1ca5de49e3ad4","observation_id":"7b6fbd3f-d97f-4ee3-81a0-4b6d8686cbf7","resolution":{"observed_at":"2026-08-11T20:19:05.609106Z","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":"2026-08-11T20:19:05.613770Z","title":"Ceruti, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.613770Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:7eeb95a57e83cc81dad818084b5e0b79f9742cea4db0e27eff866585b58dd70f","observation_id":"c0c1a887-babb-4442-9ca7-7e5aee5519d1","resolution":{"observed_at":"2026-08-11T20:19:05.613770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.00858","last_updated":"2024-12-01T15:45:48Z","snapshot_observed_at":"2026-08-12T04:53:18.654428Z","submitted_at":"2024-12-01T15:45:48Z","title":"A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.00858","snapshot_observed_at":"2026-08-11T20:19:05.618272Z","title":"Ceruti, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.618272Z"},"links":{"cited_paper":"/paper/2412.00858","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:8d61301bc4067a019e61a69cc7f9299bc40e6d59207325ab1e2a0110e5431aeb","observation_id":"ee9962c5-af63-4bb8-a79f-8730da5a12aa","resolution":{"observed_at":"2026-08-11T20:19:05.618272Z","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":"2026-08-11T20:19:05.624089Z","title":"Ceruti and C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.624089Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:166f59abb9f54ede38c284c2ab3f22431b571ae60a1f658c8143c2fe37cdb58b","observation_id":"1e172d44-22d7-4e4c-baf5-15e678c162b3","resolution":{"observed_at":"2026-08-11T20:19:05.624089Z","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":"2026-08-11T20:19:05.628698Z","title":"Ceruti, C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.628698Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:dd8a1510ec147c90e3ba092e895d1f8fa2c5cfe6f71e6d6323b0e47278adb95d","observation_id":"207cd6e2-3dd5-41b8-b161-299925ed61c6","resolution":{"observed_at":"2026-08-11T20:19:05.628698Z","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":"2026-08-11T20:19:05.633668Z","title":"Ceruti, C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.633668Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:d12637d820fe084363d3d14915f72881281ebb174fdea66c07a0b55bff62a047","observation_id":"6cbcbc43-d676-4191-b39b-fd3dbe41c3a8","resolution":{"observed_at":"2026-08-11T20:19:05.633668Z","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":"2026-08-11T20:19:05.638486Z","title":"Chen and G","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.638486Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:8450d3354038e66de6bcea69c38184b927d674f85a4486d34f175c1f31e7ae59","observation_id":"934451cd-039c-47d2-a1fd-0e164212d50b","resolution":{"observed_at":"2026-08-11T20:19:05.638486Z","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":"2026-08-11T20:19:05.643329Z","title":"Cheng, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.643329Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f8929de2fd72e0edcfd137d346fc65dfa668d57d7080eebaeb0678627c5f2f06","observation_id":"74005e44-c97f-4a6f-ad2d-a7b87cee62a9","resolution":{"observed_at":"2026-08-11T20:19:05.643329Z","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":"2026-08-11T20:19:05.648910Z","title":"Clark, B","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.648910Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:2143ff8c6f545024f470ce6b3c0da21927f03daf16253f53e802b61cc46f5f55","observation_id":"b5cd8b0f-1b96-4894-b655-2fb593451662","resolution":{"observed_at":"2026-08-11T20:19:05.648910Z","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":"2026-08-11T20:19:05.654651Z","title":"Coughlin and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.654651Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f49d5b84a6b392337c2a0260923bd6755ddacc78b52f852423afd6b5ec88065c","observation_id":"a0e5041a-1d96-47c1-9069-8f9626a0399e","resolution":{"observed_at":"2026-08-11T20:19:05.654651Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T20:19:05.659307Z","title":"Coughlin, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.659307Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e1706dab0e4febd69186c963090dec26a182ea1dd4c1d9020f83a27f9315a334","observation_id":"cd388743-989f-408e-945d-2253d1d5eb79","resolution":{"observed_at":"2026-08-11T20:19:05.659307Z","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":"2026-08-11T20:19:05.663971Z","title":"De Lathauwer, B","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.663971Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:67f3266796d0fd804cc30b134e10f67845a7dac67c2a51d7693a0216088e6fbf","observation_id":"9aecba61-0a2a-4dc3-b57a-38d9140da6f3","resolution":{"observed_at":"2026-08-11T20:19:05.663971Z","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":"2026-08-11T20:19:05.668699Z","title":"Dektor, Collocation methods for nonlinear differential equations on low-rank manifolds , Linear Algebra and its Applications, 705 (2025), pp","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.668699Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:838977a182cd9ee2e6a780315d6e1806774d3fe105ee99943e247edb84872deb","observation_id":"c15bf944-fe28-4479-9eae-d20672fb8727","resolution":{"observed_at":"2026-08-11T20:19:05.668699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.15990","last_updated":"2025-08-19T18:11:34Z","snapshot_observed_at":"2026-08-12T13:37:17.576872Z","submitted_at":"2024-11-24T21:51:55Z","title":"Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15990","snapshot_observed_at":"2026-08-11T20:19:05.674262Z","title":"Dektor and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.674262Z"},"links":{"cited_paper":"/paper/2411.15990","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:9f79757ef0386a99505e1b0917d4d55041e65626d878ce09d8361eea212c433a","observation_id":"7992c144-7bb5-4a89-baaf-6f20bd0ece80","resolution":{"observed_at":"2026-08-11T20:19:05.674262Z","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":"2026-08-11T20:19:05.679232Z","title":"Dektor and D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.679232Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:c4528432600beb2e82a15621c74e5227733ad3100d6992bfdef8771af12564de","observation_id":"fc4bac24-499e-43bd-82ce-d35afa809eaf","resolution":{"observed_at":"2026-08-11T20:19:05.679232Z","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":"2026-08-11T20:19:05.684283Z","title":"Dektor and D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.684283Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:cc2cadb95f68809c50c5f01529594942ff56aed3c2a3afa6a8ec3bf90eb01506","observation_id":"94bd904c-fe1b-43c8-91d2-20529e93e8e8","resolution":{"observed_at":"2026-08-11T20:19:05.684283Z","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":"2026-08-11T20:19:05.689124Z","title":"Dektor and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.689124Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:fc6c1137389d14e0729ea4c4cc32f66a575140eb7c48d0024a49c127e7c8ca69","observation_id":"171674a8-5897-4382-a5cf-45603b7a613a","resolution":{"observed_at":"2026-08-11T20:19:05.689124Z","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":"2026-08-11T20:19:05.694387Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.694387Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:70b45c7631049fe34ad3667bbeba7090d4e56477af2d2519c25266847edac860","observation_id":"73b6fd76-2696-4356-8528-f78eb266822c","resolution":{"observed_at":"2026-08-11T20:19:05.694387Z","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":"2026-08-11T20:19:05.699516Z","title":"Dolgov, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.699516Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:95b1b28dd40ee5baaa61972dcb4fffa70ddce0aa1d11fdc48ea99595390a4dfb","observation_id":"863e1fec-0276-4b05-a31e-bbd41239486a","resolution":{"observed_at":"2026-08-11T20:19:05.699516Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T20:19:05.704496Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.704496Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4a02cbcbdc62f6a1e53f599280abeee0ebf0e20c7791d764af067faaf0d9aeb9","observation_id":"ceee2c86-7917-4d5a-ba6b-2aa35c048bd5","resolution":{"observed_at":"2026-08-11T20:19:05.704496Z","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":"2026-08-11T20:19:05.709401Z","title":"Ehrlacher and D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.709401Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4bc0176e7bdac835ecb08bfa52b3dd9839811d8e9c397049afd0685279ec7eb9","observation_id":"3fd925a1-27de-40d4-9e03-5718225858dc","resolution":{"observed_at":"2026-08-11T20:19:05.709401Z","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":"2026-08-11T20:19:05.713766Z","title":"Einkemmer, A low-rank algorithm for weakly compressible flow , SIAM J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.713766Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:6677886f895c885087866da20183c4b1ebfe1c7fadbb2e1f941631a6af6f2b6a","observation_id":"f0cb35a0-72b5-4fdf-b3b6-d48a3da377af","resolution":{"observed_at":"2026-08-11T20:19:05.713766Z","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":"2026-08-11T20:19:05.718379Z","title":"Einkemmer, Accelerating the simulation of kinetic shear Alfv´ en waves with a dynamical low-rank approximation, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.718379Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:653d4dd7f608716a1533d666e5efb8491a20e36eb7d4a03fae55b7c2919f596f","observation_id":"7a42855e-18f4-4bb5-8432-790c6c25ffcf","resolution":{"observed_at":"2026-08-11T20:19:05.718379Z","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":"2026-08-11T20:19:05.723239Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.723239Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:fd80abd897709b54b23d0457ce0042e8489e10fcd697ff89835e396efbec6dd0","observation_id":"fe7159ad-5e3e-4ce3-834a-4723049c89f5","resolution":{"observed_at":"2026-08-11T20:19:05.723239Z","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":"2026-08-11T20:19:05.727990Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.727990Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:fed31fc35539e99c737bb3659b9aeeb910ae7c104a19f51e6fe898b4c4895183","observation_id":"f2cfa740-b84f-42d3-b10c-0798aec5da73","resolution":{"observed_at":"2026-08-11T20:19:05.727990Z","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":"2026-08-11T20:19:05.732565Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.732565Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:55e098b0c3560cb135787b2d8bdb75c1f17549fb96941539ed0de7cceba0d979","observation_id":"d1d1480e-c513-4541-a034-27b338365596","resolution":{"observed_at":"2026-08-11T20:19:05.732565Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08951","last_updated":"2025-02-13T04:19:54Z","snapshot_observed_at":"2026-08-12T14:56:22.340893Z","submitted_at":"2025-02-13T04:19:54Z","title":"Asymptotic-Preserving Dynamical Low-Rank Method for the Stiff Nonlinear Boltzmann Equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.08951","snapshot_observed_at":"2026-08-11T20:19:05.737148Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.737148Z"},"links":{"cited_paper":"/paper/2502.08951","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:88a03de0ce4caffe74ddf8fc7c0cd8e16356f6821d9d369bb31f8c7517891c08","observation_id":"421777a2-4f54-4b63-a70f-9ad6955993f5","resolution":{"observed_at":"2026-08-11T20:19:05.737148Z","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":"2026-08-11T20:19:05.742574Z","title":"Einkemmer and I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.742574Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:377ec3e06a463e0fcf39d72af3455ac44c12969c02d5bdff14ab501b081c24c7","observation_id":"7bdb74d7-50b5-4e45-aa9d-56afa899097e","resolution":{"observed_at":"2026-08-11T20:19:05.742574Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.06399","last_updated":"2025-06-15T02:21:59Z","snapshot_observed_at":"2026-07-06T16:45:55.261144Z","submitted_at":"2023-11-10T21:18:20Z","title":"Construction of high-order conservative basis-update and Galerkin dynamical low-rank integrators","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.06399","snapshot_observed_at":"2026-08-11T20:19:05.747569Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.747569Z"},"links":{"cited_paper":"/paper/2311.06399","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e1f1ae0896ade42e45972334a97575d75d8e2b9df3302587d8375387045797e6","observation_id":"16472d68-e776-453a-b2a9-d4cfc6308eb1","resolution":{"observed_at":"2026-08-11T20:19:05.747569Z","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":"2026-08-11T20:19:05.752491Z","title":"Einkemmer and C","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.752491Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:b1066566c8d6ee66a3fbd450c6524de0d2ac1de849ce5297441a44ddf5551300","observation_id":"9a379a0c-bc18-458a-92d4-ab72851dc331","resolution":{"observed_at":"2026-08-11T20:19:05.752491Z","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":"2026-08-11T20:19:05.757707Z","title":"Einkemmer and C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.757707Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:ef67c2a8f1a4cc415a16a9e747b5309a395459397ec80df56a5a0e960568bd92","observation_id":"a3124303-39e1-4bc5-a310-245e46b21310","resolution":{"observed_at":"2026-08-11T20:19:05.757707Z","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":"2026-08-11T20:19:05.762835Z","title":"Einkemmer, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.762835Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f216d93239366bf2d04334ff64fc6514ff5f550172300fc36b88b20a02e41b57","observation_id":"acce4797-4aff-47e0-9009-f9a9bf65f90f","resolution":{"observed_at":"2026-08-11T20:19:05.762835Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11792","last_updated":"2024-08-01T11:01:19Z","snapshot_observed_at":"2026-07-06T18:47:13.029539Z","submitted_at":"2024-07-16T14:46:44Z","title":"A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks","version":2},"cited_work":{"arxiv_id":"2407.11792","doi":"10.48550/arxiv.2407.11792","metadata_source":"pith","pith_arxiv_id":"2407.11792","snapshot_observed_at":"2026-08-12T00:16:22.474752Z","title":"A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks","venue":"math.NA","work_id":"80729df7-8afc-4273-9304-c778c96cb8d1","year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.767322Z"},"links":{"cited_paper":"/paper/2407.11792","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:737b6171fb5c877cb431cd9c7cdba353c957c056d8def76445e0d762427459f4","observation_id":"50cbd0ea-5aa8-4075-9a77-0a61351d2bb5","resolution":{"observed_at":"2026-08-11T20:19:06.519959Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04157","last_updated":"2025-01-07T22:09:30Z","snapshot_observed_at":"2026-08-11T01:51:18.323024Z","submitted_at":"2025-01-07T22:09:30Z","title":"Automatic partitioning for the low-rank integration of stochastic Boolean reaction networks","version":1},"cited_work":{"arxiv_id":"2501.04157","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.04157","snapshot_observed_at":"2026-08-11T20:19:07.125423Z","title":"Automatic partitioning for the low-rank integration of stochastic Boolean reaction networks","venue":"math.NA","work_id":"46a0b7b6-8679-4094-abe1-5105def5b759","year":2025},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.772195Z"},"links":{"cited_paper":"/paper/2501.04157","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:dc95d97975997fc1cf7297825e6ca2e708ffd6e339a927cef373d89952270fff","observation_id":"9bd43cff-edcf-432c-8913-a1dc6df7548c","resolution":{"observed_at":"2026-08-11T20:19:07.131564Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.777147Z","title":"Einkemmer, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.777147Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f4fe9e8cc0419e7c117534deb0997357cd029140ae9d8a34b2fa4070716e819c","observation_id":"9457601f-66e5-4142-ae76-302dd4ebaaa8","resolution":{"observed_at":"2026-08-11T20:19:05.777147Z","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":"2026-08-11T20:19:05.781767Z","title":"Einkemmer, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.781767Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:b0495505b8a6a19aa09fc45473cca5ffe57be6066ec5ffe3fedb58069474b989","observation_id":"76c0d9f7-4c93-4b82-b7f0-c0336d359939","resolution":{"observed_at":"2026-08-11T20:19:05.781767Z","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":"2410.19662","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:07.100033Z","title":"El Kahza, J.-M","venue":null,"work_id":"e5e3db01-dd8d-487e-a0a3-b637ed86cfe7","year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.786339Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:70a40e995bcda7f16e8111bdae3dabd9db366f2d93d8b207a448e269f9b0ba62","observation_id":"0d0c90bb-3318-43e9-aae8-a152d6cf7a94","resolution":{"observed_at":"2026-08-11T20:19:07.107339Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.791119Z","title":"El Kahza, W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.791119Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:4894f4f9471650bf8491d52124ebafaddd4db22f6786cc46f4d4646765833427","observation_id":"1d4e5c7b-48ee-4582-8e81-6cff7757adc3","resolution":{"observed_at":"2026-08-11T20:19:05.791119Z","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":"10.1137/15m1038852","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:06.491869Z","title":"Etter , Parallel ALS Algorithm for Solving Linear Systems in the Hierarchical Tucker Representation, SIAM Journal on Scientific Computing, 38 (2016), pp","venue":null,"work_id":"006f9006-d3bb-4db6-ae32-9f096f3c9827","year":2016},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.796161Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:42db777797e4f925b43fdd655eeb8184b833a20118ba1c2c0fc49e3c64a9dbf4","observation_id":"299b0313-e734-4712-8d31-0ec3cc3b05f4","resolution":{"observed_at":"2026-08-11T20:19:06.497541Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.801092Z","title":"Gamba, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.801092Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:7a6222eac7a5b3f320e0097aafe363dc00edd3fe87fc88c6528d9bca440d33a2","observation_id":"af5d8a83-2741-43a0-9234-fdb3893135c3","resolution":{"observed_at":"2026-08-11T20:19:05.801092Z","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":"2026-08-11T20:19:05.805748Z","title":"Gamba and S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.805748Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f2cb5357525883bc6023fb07836b95736021dd02d5d7b147b843c14658af6089","observation_id":"4657b420-7c95-4cb4-9d8e-2d85b15b82a9","resolution":{"observed_at":"2026-08-11T20:19:05.805748Z","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":"2026-08-11T20:19:05.810816Z","title":"Ghahremani and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.810816Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:ddc608514e1a8dcf94899e15231714bcc668ca81c327322724e519cf9ce68e08","observation_id":"0e0569cc-5dae-423d-9815-010c509dbae1","resolution":{"observed_at":"2026-08-11T20:19:05.810816Z","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":"10.1137/0907","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:06.475787Z","title":"Grasedyck, Hierarchical singular value decomposition of tensors , SIAM Journal on Ma- trix Analysis and Applications, 31 (2010), pp","venue":null,"work_id":"16fabea3-8964-4501-ac63-2f319d3b6b56","year":2010},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.815493Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:f71a6084c0ff358ad5a98b51dc3431bf198578eb7b0a6bafedef180cee66c6e8","observation_id":"cfbf0969-fc8e-40d7-aa3e-4e62f958bda4","resolution":{"observed_at":"2026-08-11T20:19:06.481034Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.820162Z","title":"Grasedyck, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.820162Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:7d47814f1fd82e3541aa4e56b63bbe2bc81bb6cceabc3bd26c7bb7a3aec516d2","observation_id":"8c5082f6-7566-40b0-8284-20e0ef44bdb1","resolution":{"observed_at":"2026-08-11T20:19:05.820162Z","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":"10.1002/nla.2174","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:20.376878Z","title":"Grasedyck and C","venue":"Numerical Linear Algebra with Applications","work_id":"d7e381f9-2764-451f-99d8-448a6b0173a7","year":2018},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.825722Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:a3e40620a49a37c1286d2134f157cef8b2f3458d15e0bb2064c6cb01a1b676a1","observation_id":"a26c7132-8ab6-4676-911b-b8bec76ec52f","resolution":{"observed_at":"2026-08-11T20:19:06.465350Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.830424Z","title":"Greif and K","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.830424Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:2b09674a7b40d502b80f699917c887fd2645c53c092df193ab2a6c2fc0c37665","observation_id":"dbbfe5f9-421a-4ee8-902a-5b7917b1a508","resolution":{"observed_at":"2026-08-11T20:19:05.830424Z","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":"2026-08-11T20:19:05.835067Z","title":"Grella and C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.835067Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:71111ccb4df7d586fd4d4ce30e2613874a2dac013c33b4fb4f895d1103f0df1e","observation_id":"4bfaa7c7-c00c-4a9c-914b-34a4f8fd04f2","resolution":{"observed_at":"2026-08-11T20:19:05.835067Z","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":"2026-08-11T20:19:05.839885Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.839885Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:41d450af64ee0d7970fa85431acef9d78ad753a7c412a0e0a445bbc98bd081d6","observation_id":"505f7fad-9707-43f5-9ed8-87d96c5f47c0","resolution":{"observed_at":"2026-08-11T20:19:05.839885Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T20:19:05.844443Z","title":"Guo and J.-M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.844443Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:94dd673801705067a51b53c86f4ab9fd38414f3f5c939a8b99b06c5cc787aefb","observation_id":"8f1145e2-ca51-4a47-b40f-9ef34b102851","resolution":{"observed_at":"2026-08-11T20:19:05.844443Z","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":"2026-08-11T20:19:05.849290Z","title":"Guo and J.-M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.849290Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:acd0b960400b04a5528bb6ed18ddc8a7d84c2bed05c60a77fa58885bfe2f4429","observation_id":"745b5e83-2928-46a8-a25f-a68d23d9f70e","resolution":{"observed_at":"2026-08-11T20:19:05.849290Z","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":"2026-08-11T20:19:05.853687Z","title":"Guo and J.-M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.853687Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:bc20ad43866c121d31bf1626d076077744821cfb7a431481c02f1569aa4ebb8e","observation_id":"1743df03-8bd3-47b5-97f3-c70d0336d061","resolution":{"observed_at":"2026-08-11T20:19:05.853687Z","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":"10.1007/s000","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:06.444881Z","title":"Hackbusch and S","venue":null,"work_id":"8a253dc9-7e65-4b7e-8549-224e7c7ab0cd","year":2009},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.858027Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e97cd9feaa1dda4c7a9a6c66a695af8438846223987368a772eb128909f7cbb6","observation_id":"b06dc832-d00b-4f14-aa74-692d6c6a99fa","resolution":{"observed_at":"2026-08-11T20:19:06.449653Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.862715Z","title":"Hatch, D","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.862715Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:b493456d32cf79fa880a5654ccafce2bb23eeb8ae3b9e3c9ec44d3150b765e66","observation_id":"4c2b097f-5f2b-4a06-b9b2-aaa453f745e1","resolution":{"observed_at":"2026-08-11T20:19:05.862715Z","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":"2026-08-11T20:19:05.867566Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.867566Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:8e733fea165a0f9e9a23dcb98ada9158f4036701653d3cbeb066a037c0c3d28c","observation_id":"8211acd2-28e5-4abb-a197-1f83090dcae6","resolution":{"observed_at":"2026-08-11T20:19:05.867566Z","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":"2026-08-11T20:19:05.872794Z","title":"Heenatigala and W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.872794Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:95b325765dcdf69e514d6a0cf32dc9c61b52b36f8073541ac664262457a7efb2","observation_id":"363611af-0e34-4fcb-aeed-162a85946a4f","resolution":{"observed_at":"2026-08-11T20:19:05.872794Z","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":"2026-08-11T20:19:05.878154Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.878154Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:106291dd94e15170b6ac9c0dc471a0de2783065caadbb71f0f91e0562001f62d","observation_id":"dd330bae-b630-425a-96d1-dfa3dcebda5b","resolution":{"observed_at":"2026-08-11T20:19:05.878154Z","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":"2026-08-11T20:19:05.882719Z","title":"Hochbruck, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.882719Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e5ffb67997ccca35868b88efaf90ea5b88d84c9989cf5e3deaaf9a04e4d64482","observation_id":"6361c4a6-6100-4adf-860d-59e329acbf07","resolution":{"observed_at":"2026-08-11T20:19:05.882719Z","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":"2026-08-11T20:19:05.887881Z","title":"Holtz, T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.887881Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:3fa3a3a1eee6edde0c4516d01d1faa7bae8e639c4a883e8ed8f8ae3b7087f84a","observation_id":"54fcd119-97dd-4f99-a361-ac062e0bf40d","resolution":{"observed_at":"2026-08-11T20:19:05.887881Z","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":"2026-08-11T20:19:05.893008Z","title":"Hu and Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.893008Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:30721d773404da4691d3712f939bd3110fe6a2f1aad15b5017e788a9dd3730f7","observation_id":"eb56a14d-a9be-4bba-98c6-9566b8b00c9c","resolution":{"observed_at":"2026-08-11T20:19:05.893008Z","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":"2026-08-11T20:19:05.897742Z","title":"Jahnke and W","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.897742Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:5cbbb7df6e8f9fb4113079a37fbbd4dff6390e135943c5b982132ca25d534c81","observation_id":"99b84f2b-f2df-4244-b54b-d368ac1a1e1b","resolution":{"observed_at":"2026-08-11T20:19:05.897742Z","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":"2026-08-11T20:19:05.903478Z","title":"Jin and D","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.903478Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:cd1470c12db3a6177c503f0500f3b9b823e3df2bb27691ba12d6ba8ff8f8730d","observation_id":"6d9155c6-a9db-4b10-acc2-c884574e2f9b","resolution":{"observed_at":"2026-08-11T20:19:05.903478Z","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":"2026-08-11T20:19:05.908608Z","title":"Kieri, C","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.908608Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:e047fccfca41d076969874114ad6bd08cb2483037af5c3740c8f557a82734194","observation_id":"85cfc0a5-5383-48b9-bc92-e1b34dc94c23","resolution":{"observed_at":"2026-08-11T20:19:05.908608Z","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":"2026-08-11T20:19:05.913416Z","title":"Kieri and B","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.913416Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:8831ebfa01c726c3757c0e5b32a7b054e0a6b415778e6f65d64b83a9db29a671","observation_id":"0d9755b9-6eae-474f-84ee-bdd9ac21f598","resolution":{"observed_at":"2026-08-11T20:19:05.913416Z","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":"2026-08-11T20:19:05.919424Z","title":"Koch and C","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.919424Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:a629c4b7dd7e92a4ce616e3f6e16c20a44104aeab4ada92a6617abd4c38e2c26","observation_id":"2a9b37a3-6451-4b97-99c4-c3f67e7f2fbd","resolution":{"observed_at":"2026-08-11T20:19:05.919424Z","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":"10.1137/09076578x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:06.381076Z","title":"Koch and C","venue":null,"work_id":"33497273-51ab-4686-a516-7c7d170da2f6","year":2010},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.924191Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:cf9aa9543faca1131806961efb6552cb75d5069df8fab57a6dfe897d80f2b455","observation_id":"fc91f7fc-0761-4eea-9167-48594c6a9eb5","resolution":{"observed_at":"2026-08-11T20:19:06.385709Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:19:05.928947Z","title":"Koellermeier, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.928947Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:137bcf30b166567834ba80a240f69b533236be2fc385ce27e31ec0feaf9b15c3","observation_id":"ec53a13e-a2b2-4b64-b3c8-b9bddddcd261","resolution":{"observed_at":"2026-08-11T20:19:05.928947Z","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":"2026-08-11T20:19:05.933958Z","title":"Kormann, A semi-Lagrangian Vlasov solver in tensor train format , SIAM J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.933958Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:487a323e812c6a4d4c91d4381e7ed8a7097ae165edd1b4cbefebbcc624603af5","observation_id":"0dbe5a2f-449b-488d-9e95-6d9c91055c1e","resolution":{"observed_at":"2026-08-11T20:19:05.933958Z","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":"2026-08-11T20:19:05.938874Z","title":"Kormann and E","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.938874Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:6b5498d59db127205ca481a1c13a7d30812ca89e833f24267bd8bfaa71c7c015","observation_id":"b580d9d2-948c-4512-91a7-94fdc964061c","resolution":{"observed_at":"2026-08-11T20:19:05.938874Z","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":"2026-08-11T20:19:05.943486Z","title":"Kowalski and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.943486Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:00ec0d6b05f57a7e6cf99e7d799a76160153a87923b67eaeb446c6144981fbff","observation_id":"2b00cf01-9aac-4c09-a23b-7b9abed806d0","resolution":{"observed_at":"2026-08-11T20:19:05.943486Z","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":"2026-08-11T20:19:05.948340Z","title":"Kressner and C","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.948340Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:2163ddeb17161237aaa723c5e61efd657d2656aa7cf7a00fdac7a5edcf403410","observation_id":"03cba8cd-2a77-4fa7-a7cb-473fa2c05bfa","resolution":{"observed_at":"2026-08-11T20:19:05.948340Z","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":"2026-08-11T20:19:05.953802Z","title":"Kunisch and S","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.953802Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:71b387e2c1304dfc4ade951a88ace487fa1ec3972990297829f89dc9f41dc461","observation_id":"1dd3e776-ab79-42c7-9683-5cb1271b04fa","resolution":{"observed_at":"2026-08-11T20:19:05.953802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.02834","last_updated":"2024-03-05T10:11:19Z","snapshot_observed_at":"2026-08-10T06:23:52.290590Z","submitted_at":"2024-03-05T10:11:19Z","title":"Second-order robust parallel integrators for dynamical low-rank approximation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.02834","snapshot_observed_at":"2026-08-11T20:19:05.959222Z","title":"Kusch , Second-order robust parallel integrators for dynamical low-rank approximation , arXiv preprint arXiv:2403.02834, (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.959222Z"},"links":{"cited_paper":"/paper/2403.02834","citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:605bbe9bdce2f4c563492b5ee9b6aa6065e049818d850336aea53f59ff0139ca","observation_id":"5230fdee-e78c-43bf-92b2-a394a8edbd30","resolution":{"observed_at":"2026-08-11T20:19:05.959222Z","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":"2026-08-11T20:19:05.964083Z","title":"Kusch, G","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.964083Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:79397dde8f431e042422615306abfaccf33940b5f9b29a5db9ef38a13cfb0b7c","observation_id":"1e5001f0-6ea5-4f13-a895-b03c478bad26","resolution":{"observed_at":"2026-08-11T20:19:05.964083Z","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":"2026-08-11T20:19:05.968674Z","title":"Kusch, L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-11T20:19:05.968674Z"},"links":{"citing_paper":"/paper/2412.05912"},"observation_digest":"sha256:895ec28ed73c8de5b361ea6643cdf3f69865094412e60bf4065a740010a4717e","observation_id":"8050f853-55e7-4fd1-8671-19bfa1421ec7","resolution":{"observed_at":"2026-08-11T20:19:05.968674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.05912","last_updated":"2025-06-18T19:30:14Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T14:56:06.534498Z","submitted_at":"2024-12-08T12:13:16Z","title":"A review of low-rank methods for time-dependent kinetic simulations"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":6,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":86,"verified_exact":8,"verified_fuzzy":0},"total_outbound_references":162},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 100 of 162 outbound references and 4 inbound Pith citation observations for arXiv:2412.05912."}