{"as_of":"2026-08-09T01:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f551997f00bcaca563aa8b1ae261395e7400dc3054e5757db6cc333e2e956587","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T13:24:12.754030Z","state":"measured"},{"denominator":69,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":69,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-05T05:48:48.231634Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-15T00:43:24.344386Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.00805","snapshot_observed_at":"2026-08-05T05:48:48.231634Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.05001","last_updated":"2025-09-05T10:50:41Z","snapshot_observed_at":"2026-08-07T06:06:43.797999Z","submitted_at":"2025-09-05T10:50:41Z","title":"Synthetic Acceleration Preconditioners for Parametric Radiative Transfer Equations based on Trajectory-Aware Reduced Order Models","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T05:48:48.231634Z"},"links":{"cited_paper":"/paper/2509.00805","citing_paper":"/paper/2509.05001"},"observation_digest":"sha256:c42107599266fe38b203794a4811c02bf63c486a8d8c75ac0621d380b2ea74de","observation_id":"61a6b452-7545-46cf-81af-803f5c2618bb","resolution":{"observed_at":"2026-08-05T05:48:48.231634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"cited_work":{"arxiv_id":"2509.00805","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.00805","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8b33c873-57f0-4519-b5ae-5de6eba2a644","year":2025},"citing_paper":{"arxiv_id":"2603.25233","last_updated":"2026-07-14T05:55:00Z","snapshot_observed_at":"2026-08-06T14:47:30.279649Z","submitted_at":"2026-03-26T09:34:18Z","title":"Highly Efficient Rank-Adaptive Sweep-based SI-DSA for the Radiative Transfer Equation via Mild Space Augmentation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-15T00:43:15.876585Z"},"links":{"cited_paper":"/paper/2509.00805","citing_paper":"/paper/2603.25233"},"observation_digest":"sha256:49a70d3f0d724297773f125e9b20a8e83e04dd984f4babb4950dceebd7b7ec83","observation_id":"cfdd3a5e-4acb-4f8e-b152-3f603eb42c33","resolution":{"observed_at":"2026-05-15T00:43:24.346407Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.00805","snapshot_observed_at":"2026-07-15T11:48:27.286791Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.25233","last_updated":"2026-07-14T05:55:00Z","snapshot_observed_at":"2026-08-06T14:47:30.279649Z","submitted_at":"2026-03-26T09:34:18Z","title":"Highly Efficient Rank-Adaptive Sweep-based SI-DSA for the Radiative Transfer Equation via Mild Space Augmentation","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-15T11:48:27.286791Z"},"links":{"cited_paper":"/paper/2509.00805","citing_paper":"/paper/2603.25233"},"observation_digest":"sha256:1652628cd0b9693a0fb922214f250df44fca95ea536ae2cbd8d2d0afaab18acd","observation_id":"5eb2da75-947f-4263-be21-6e6b39207aa1","resolution":{"observed_at":"2026-07-15T11:48:27.286791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.00805","snapshot_observed_at":"2026-08-01T02:24:38.128441Z","title":"An inexact low-rank source iteration for steady-state radiative transfer equation with diffusion synthetic acceleration.arXiv preprint arXiv:2509.00805, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27736","last_updated":"2026-07-30T06:19:05Z","snapshot_observed_at":"2026-08-08T08:41:18.600627Z","submitted_at":"2026-07-30T06:19:05Z","title":"An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T02:24:38.128441Z"},"links":{"cited_paper":"/paper/2509.00805","citing_paper":"/paper/2607.27736"},"observation_digest":"sha256:6db8357ae0b7dc7c19b10f90be21b875541dfa261ea6d91b0002d97185200eba","observation_id":"f0a70897-9c19-48d0-87d4-de2ab750840a","resolution":{"observed_at":"2026-08-01T02:24:38.128441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.00805/citation-record","integrity":"/paper/2509.00805/integrity","json":"/paper/2509.00805/citation-record.json","paper":"/paper/2509.00805"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.662468Z","title":null,"venue":null,"work_id":"738fe2b5-2f5f-4ba8-9a13-70c4365f06e7","year":1968},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.108282Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:ca5fd3e0df3fcb06307c7297245788474d839bf7ca1b88dc001aed4fcb18ed62","observation_id":"a3803a65-7bd8-4294-b56b-e8dfc9dfc7e2","resolution":{"observed_at":"2026-08-05T13:24:14.673490Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.645125Z","title":null,"venue":null,"work_id":"5df96a68-9a67-40d7-825a-3a5dafaa0e5a","year":2002},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.118387Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:1cea46b6ffc14f699025faacbdc2bc649952019437b09815f8c998b5a87633e1","observation_id":"98934c81-40e7-4194-9476-107811034fb7","resolution":{"observed_at":"2026-08-05T13:24:14.651099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.624239Z","title":"Kopp, Synthetic method solution of the transport equation, Nuclear Science and Engineering 17 (1) (1963) 65–74","venue":null,"work_id":"9a74969d-5fc4-472e-8768-5e204eea8447","year":1963},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.130842Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:0b562795a5422c46ccedabb2829c91bf0bb7654e32adc96634169fd20e0f5c85","observation_id":"16152b84-2fe7-43b0-9d59-be4279ff3701","resolution":{"observed_at":"2026-08-05T13:24:14.631254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.600781Z","title":"Alcouffe, Dittusion Synthetic Acceleration Methods For the Dia mond-Ditterenced Discrete-Ordinotes Equations, Nuclear science and engineering 64 (1977) 344–355","venue":null,"work_id":"5887cedc-0ca3-4572-a847-4f46b861c04f","year":1977},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.142846Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:7670eb745254aae0421efb87d45901cb3b1708d60ea1b14df675a1fe0cd9e32d","observation_id":"a9ea8482-9268-4d31-99c6-8011bc367236","resolution":{"observed_at":"2026-08-05T13:24:14.606493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.580777Z","title":null,"venue":null,"work_id":"07e2d52b-becd-4f2b-a900-5218387c9b79","year":1992},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.150287Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:6d2561e28abc2c68e62dc4dd4af3326876c0a5187e6da954aac8e47b7f8ac43c","observation_id":"b2c64a6f-d55a-4206-9acc-0dc2cb09beb9","resolution":{"observed_at":"2026-08-05T13:24:14.585537Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.553408Z","title":null,"venue":null,"work_id":"6ad9b7cf-95f1-4c4e-87e2-3c26f4832289","year":2009},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.157914Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:aeae6f5c258d812aa2c1e2bd4facaaa850208d1959e34c27bd862892870e3d37","observation_id":"839a4cd2-b4a7-4b89-aaec-679a13b31951","resolution":{"observed_at":"2026-08-05T13:24:14.562935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.529364Z","title":"Palii, M","venue":null,"work_id":"43fe7768-f104-486a-b5f3-4c9bcc539cd5","year":2020},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.166152Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:c78c89eac08abad6788c09bad6632ac36356487b503c4cc76c54be489f2f4713","observation_id":"c0d2ae41-a3d8-4ccd-bdb2-dc6f4b6f1932","resolution":{"observed_at":"2026-08-05T13:24:14.534974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.501884Z","title":null,"venue":null,"work_id":"1d97c22e-ca3d-41bd-b748-8a5834fa4393","year":2004},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.177215Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:40c11fb62f76c332127258016803591f626025b9243220f6ae5c0dfd06d2de54","observation_id":"2b28565a-00af-480e-bf34-d938a24fb944","resolution":{"observed_at":"2026-08-05T13:24:14.509052Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.471726Z","title":null,"venue":null,"work_id":"94233622-8390-4389-9bf7-7dc55835c00f","year":null},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.190403Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:4aab06828f982550b527c0f857a2030f675c916b587e88e881f3d6c7f70f2be8","observation_id":"4353eb37-8fa5-48d5-a9cf-7e8d9a4ebef4","resolution":{"observed_at":"2026-08-05T13:24:14.478395Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.449408Z","title":null,"venue":null,"work_id":"fba7a800-7db9-42eb-b5e0-e9f782e45d6b","year":2023},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.197602Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:2a0c617e7732bf1a268612fd6057875611789d7207abde8a260f1052bbd55878","observation_id":"8c3b3cda-9b7e-4a7e-a456-85676fbebb2b","resolution":{"observed_at":"2026-08-05T13:24:14.455049Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.429038Z","title":"Einkemmer, J","venue":null,"work_id":"4171f3e3-a4a9-4b45-b323-a9501e6af872","year":2021},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.207103Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:c2fb81aee7931508f35136e80a5c6a4464a2c41e40080a0e8684b3a83f941b97","observation_id":"fac53485-8dc1-470e-afe2-0ae8c243a14a","resolution":{"observed_at":"2026-08-05T13:24:14.433526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.406237Z","title":"Einkemmer, J","venue":null,"work_id":"0531b6a9-075a-4ba9-984e-063b0a8ae5fd","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.215080Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:d4b89b289dfed516d9bbdd315a3f9d9856b11401b584934724f440936e206b0a","observation_id":"8f2ebf34-f3a0-419e-a138-594e5f840a93","resolution":{"observed_at":"2026-08-05T13:24:14.415062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.19929","last_updated":"2025-05-26T12:56:07Z","snapshot_observed_at":"2026-08-07T14:01:23.830157Z","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":"2026-08-05T13:24:12.221604Z","title":"Ceruti, N","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.221604Z"},"links":{"cited_paper":"/paper/2505.19929","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:4810c98fbbde1a029d16c036e8314252f6d8e25521e0da27732faeb8ef8ad8b1","observation_id":"6d9284f8-82ec-4abd-8071-eec98e6ad897","resolution":{"observed_at":"2026-08-05T13:24:12.221604Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.384464Z","title":null,"venue":null,"work_id":"b6f440c4-dfef-42e1-9b32-6ca7a858486e","year":2021},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.228292Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:9f38510b1c3e47c6e86e1c2760e9ded1de093434a59caaab598626960ef60fd4","observation_id":"4b7e0666-9629-44d4-b368-005682ac512d","resolution":{"observed_at":"2026-08-05T13:24:14.390533Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.359877Z","title":null,"venue":null,"work_id":"0ec76b95-cd35-46c2-8b81-46d772b5002e","year":2021},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.236575Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:9f0e4bb7534fb74e618c64d498a7c0f66c8c333a670ebfac996c83f294671a7f","observation_id":"5e501a37-8490-4276-a808-8d62683aaa5f","resolution":{"observed_at":"2026-08-05T13:24:14.369854Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.334432Z","title":null,"venue":null,"work_id":"b4f45696-0e9d-451b-8730-efb5a146ac5a","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.247447Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:8ac632009e9e3e6ece7df27f4218ef21ff5626f51e40b3d6c5097f84a16e5119","observation_id":"7c76c10e-bbc5-4b52-9148-a1e0c8d45a2f","resolution":{"observed_at":"2026-08-05T13:24:14.341965Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.312584Z","title":null,"venue":null,"work_id":"b5db3648-d531-43b1-b7a8-114f1820114e","year":2023},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.256641Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:f62922c7a6fb43757328739fe065af553ec20333cf538adfd7ca0981c59d2560","observation_id":"dcec4c4e-7c43-4e37-bd0b-cdbc1d84dd64","resolution":{"observed_at":"2026-08-05T13:24:14.319759Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.290899Z","title":"Baumann, L","venue":null,"work_id":"b1574f11-ba23-4d92-8bf5-26964711bf53","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.265770Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b62d9819a201c96ee777a617824d5786ae5592ad0cd7bec1396f08365dbb8c32","observation_id":"f6da528e-8fd3-400b-b5ea-1091d2dca967","resolution":{"observed_at":"2026-08-05T13:24:14.295857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.274148Z","title":"Frank, J","venue":null,"work_id":"49661569-b221-494e-afb7-6b4f1d17682f","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.274738Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:c7f4bd394d190e8c25ebcde5ee0761512d9adaa70ef7f312ad12e93f007fdda8","observation_id":"976da7f6-9201-45da-81fc-8925e51640d9","resolution":{"observed_at":"2026-08-05T13:24:14.279849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.244920Z","title":"Ceruti, J","venue":null,"work_id":"30d012ef-b525-4616-a2a4-1273feac9439","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.285117Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:e4b58d93c113dc31863747f2eaaa7e47ac5ee02f8fb68a19fbdeb1772760a364","observation_id":"56b2f7d0-503e-4166-b885-8a248b33ea2c","resolution":{"observed_at":"2026-08-05T13:24:14.253661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.21405","last_updated":"2025-06-26T15:53:05Z","snapshot_observed_at":"2026-08-06T22:23:16.601378Z","submitted_at":"2025-06-26T15:53:05Z","title":"An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems","version":1},"cited_work":{"arxiv_id":"2506.21405","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.21405","snapshot_observed_at":"2026-08-05T13:24:13.090203Z","title":"An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems","venue":"math.NA","work_id":"67abe497-8ae5-41c4-b398-08b0b47160cd","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.291014Z"},"links":{"cited_paper":"/paper/2506.21405","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:43e3524365de3a88892e5b77d1e76038af6384df47c2e488cd4cc168eacfcb42","observation_id":"ee582a39-404c-4e7b-8578-6783435d4f77","resolution":{"observed_at":"2026-08-05T13:24:13.105203Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.07160","last_updated":"2021-11-13T17:33:18Z","snapshot_observed_at":"2026-07-06T12:08:11.047134Z","submitted_at":"2021-11-13T17:33:18Z","title":"A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy","version":1},"cited_work":{"arxiv_id":"2111.07160","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.07160","snapshot_observed_at":"2026-08-05T13:24:13.037448Z","title":"A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy","venue":"math.NA","work_id":"0387d91e-725d-44ed-9036-0c697fdc314e","year":2021},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.306738Z"},"links":{"cited_paper":"/paper/2111.07160","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:224de208d7256af01618238629d01e91df63d027c1ca602c334f7f51c9d108c6","observation_id":"20e43989-99d9-441c-95d0-5ab4a381e3ee","resolution":{"observed_at":"2026-08-05T13:24:13.047148Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.214238Z","title":"Kusch, B","venue":null,"work_id":"3da9e891-4a04-4e9a-b3a3-a1ae89de0f70","year":2022},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.318264Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:a01101742223b49469e0e1e1552e25a775627416ea326a57cb20ace5c6e1804c","observation_id":"dff82681-d847-4bb8-9b76-caec5dae6661","resolution":{"observed_at":"2026-08-05T13:24:14.228050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.179008Z","title":"Guo, J.-M","venue":null,"work_id":"a37f7e46-ba76-4211-8c2d-bd990e8d49d9","year":2022},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.328822Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:7a88dccda9f16e61af37ac79d2e78017e7aae7171dfa9b4bfa58b1f6d50ac812","observation_id":"5f97eeeb-45a7-463f-bcda-4fb0c8613bb4","resolution":{"observed_at":"2026-08-05T13:24:14.187886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.160122Z","title":"Nakao, J.-M","venue":null,"work_id":"6c395db0-684c-4acb-b3a3-46e0200ad362","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.336122Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:601591123efbc18b520616d68eb4fa54df8a1888152470317e8d20c312d502ad","observation_id":"06ea1719-923b-4a71-b8ad-71aef55d93d5","resolution":{"observed_at":"2026-08-05T13:24:14.165262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.19479","last_updated":"2025-09-08T00:12:18Z","snapshot_observed_at":"2026-07-06T18:38:09.490968Z","submitted_at":"2024-06-27T18:44:47Z","title":"High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.19479","snapshot_observed_at":"2026-08-05T13:24:12.343200Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.343200Z"},"links":{"cited_paper":"/paper/2406.19479","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:c6e92cb1862df813ec5ea5b286a9c2163f71c38505f87362b3a278b4f10156c6","observation_id":"5783320f-2e77-407b-83ce-a7f74a3dba27","resolution":{"observed_at":"2026-08-05T13:24:12.343200Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.131056Z","title":"Bachmayr, R","venue":null,"work_id":"fdb7e59c-a73b-4cfa-aa66-abdb1e2fd6eb","year":2017},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.349255Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b6eef6f463607c21ad57617937ec19bb9a222bc2bfb4b4555b6c2a7d63527646","observation_id":"bf1a2004-f9dd-460d-856a-2bf5189a55ae","resolution":{"observed_at":"2026-08-05T13:24:14.142321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.099842Z","title":"Ballani, L","venue":null,"work_id":"3835390c-7346-4b04-8bc5-b9807e05988b","year":2013},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.357767Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:525a9fc6d13900df878eedc89d59eac65877263ed8d8a896fed945c708b8d3c4","observation_id":"26217229-84a5-4886-ab2e-7b782046ac88","resolution":{"observed_at":"2026-08-05T13:24:14.108247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.077816Z","title":"Hackbusch, Solution of linear systems in high spatial dimension s, Computing and visualization in science 17 (3) (2015) 111–118","venue":null,"work_id":"687c8865-45eb-4fa3-9f31-54926123f9d2","year":2015},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.368492Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:1bce54ea28932f0597b5bd446bd99c62ef44fefeb93f2e6e8245ab30bd12d250","observation_id":"023c0ffe-4d83-4b71-819c-56cc9e141e03","resolution":{"observed_at":"2026-08-05T13:24:14.083187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.052152Z","title":"Bachmayr, R","venue":null,"work_id":"67da8741-312d-4783-88f5-d62d48bcfe46","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.374370Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:5518612b2c7e3f90ea083622e6abfca163ae02be44fd3123c6c41a136d082dd6","observation_id":"0218bc65-eed0-4a57-bbf9-f61298b40746","resolution":{"observed_at":"2026-08-05T13:24:14.059048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:14.018056Z","title":null,"venue":null,"work_id":"8a3f09a4-25cd-4ecb-afdd-5f4dd1a8cdea","year":2020},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.383256Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:79786849d4ec95ee530968c9674a67e23a520882d6f68cb8ad818a9219c9252c","observation_id":"1df8f8fa-28fa-4c8a-b84a-8415f792c6ed","resolution":{"observed_at":"2026-08-05T13:24:14.029509Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.998481Z","title":null,"venue":null,"work_id":"51a93fb7-fa32-4400-9318-7e6de6eabb5e","year":2022},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.390672Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:3e4a65f5c70317f1909eda64c89e55b913b8ee9878fa895d640b6445e147446f","observation_id":"07f7786c-9c35-45ac-a739-ecd23a859f2a","resolution":{"observed_at":"2026-08-05T13:24:14.005323Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.979975Z","title":null,"venue":null,"work_id":"ded6f84c-e4b4-4e98-94f0-237680b9ac25","year":2023},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.399433Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:a7834c1522ddf089d1d560812147e44518dcda14bc5662e913037a5ad4dcaef9","observation_id":"e549778b-b87d-40b9-9674-17e64eb5b38a","resolution":{"observed_at":"2026-08-05T13:24:13.986481Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.956251Z","title":"Einkemmer, K","venue":null,"work_id":"9d32225f-3e11-4573-8560-67718e5b2dbe","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.416282Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:13a9ffa08001b6fac391bbc2a624067ee28254380b2051f91341b5769458dada","observation_id":"1d527052-bc62-4e93-ab6a-3495c41aae89","resolution":{"observed_at":"2026-08-05T13:24:13.961664Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.928657Z","title":"Holtz, T","venue":null,"work_id":"30a0aa74-eecf-4868-aac2-5433d8f1bbb9","year":2012},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.430620Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b3e101d4c12b1dbaa643890b24f167043ffb051e7687eab490c330240e98c72f","observation_id":"9cb95dcb-311a-4ed7-8595-fd1db2216f98","resolution":{"observed_at":"2026-08-05T13:24:13.936426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.908966Z","title":null,"venue":null,"work_id":"9a00d994-5172-46cf-ae30-de90a7e85641","year":2014},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.443306Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:91db0aa954e0919c42f000f416ca6d5ff39580e35b6da92cdf58b43e591d9e3f","observation_id":"a4d0a33c-e142-4eec-af70-2d3cceda2b3b","resolution":{"observed_at":"2026-08-05T13:24:13.914068Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.887256Z","title":null,"venue":null,"work_id":"486aa974-b930-4ff3-ad1a-4633878ff2ee","year":2012},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.451048Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:bbec3b1846c68d049a66a032dc8214bd5e75a1c1317814cec4a283841128cb75","observation_id":"0838c61b-c2d6-4a0e-91b8-123d8960de29","resolution":{"observed_at":"2026-08-05T13:24:13.895532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.867865Z","title":"Kressner, C","venue":null,"work_id":"9ca884b1-093d-45cf-be83-bc1680b6cfc2","year":2011},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.462384Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b1ccb5600e0c69eec9554d71c5d5e5975c3591f8a32dbbf159beb699c1f99136","observation_id":"f37d59d4-df9d-4c78-883b-83173f4d7509","resolution":{"observed_at":"2026-08-05T13:24:13.873879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.841464Z","title":null,"venue":null,"work_id":"848f487d-40d5-4a17-b0b6-9c6f429521d5","year":2013},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.472698Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:a146a7a24f8910578524a4e21b23a9e623b0de31265331b8e29c5264b272c66a","observation_id":"c59672bb-0829-4670-ae15-6b02f5b949a1","resolution":{"observed_at":"2026-08-05T13:24:13.849486Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.812001Z","title":"Kressner, M","venue":null,"work_id":"ffdf0786-181f-4788-a729-421f950c26fd","year":2016},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.481892Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:d52e2afccafda3262c7df2c61d5806c137078424d4cd62b4e5c9f187e1413374","observation_id":"a441d601-031b-498e-b2d0-f9b7ac48a50f","resolution":{"observed_at":"2026-08-05T13:24:13.817617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.787041Z","title":"Braess, W","venue":null,"work_id":"c82881c4-9c0c-43a3-bd77-1f190b60172a","year":2005},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.488437Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:85f5ae90b8d7394e31e2da4b996399703a54ffc828daa9e3d45f64cbb9c546b2","observation_id":"861dfadf-5d82-45ce-9db2-45cecf739aac","resolution":{"observed_at":"2026-08-05T13:24:13.797036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.759890Z","title":"Hackbusch, B","venue":null,"work_id":"fe5e631a-1502-4665-9dc3-1ca207405683","year":2006},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.494470Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:0ce2e52add42c21c034431801c8629a26d439271aa780205151f48c723c38a52","observation_id":"b431d6c9-d6b2-4eaa-884a-e036237759a8","resolution":{"observed_at":"2026-08-05T13:24:13.767234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.726686Z","title":"Beylkin, L","venue":null,"work_id":"5751026a-cd1c-4f2e-ba2c-dcdf6947f580","year":2010},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.498886Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:965014b64f8c13b7514d0e9cbdea8014a60fc759a15aefc3c83a90ffe28dc4e5","observation_id":"604f5a1f-f22a-47ed-9ccf-68b942236142","resolution":{"observed_at":"2026-08-05T13:24:13.737156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.685591Z","title":"El Kahza, J.-M","venue":null,"work_id":"e38a3934-c649-4eaf-a65c-6a1a04dfd8f1","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.508167Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:173c34122dc551e9ed2cf659656853af3778dd10120e2eaeed8874c91a909ecc","observation_id":"8297ef2f-aa35-487b-9212-4f11fe348aa4","resolution":{"observed_at":"2026-08-05T13:24:13.701918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07465","last_updated":"2024-10-09T22:03:17Z","snapshot_observed_at":"2026-07-06T19:30:52.402150Z","submitted_at":"2024-10-09T22:03:17Z","title":"Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations","version":1},"cited_work":{"arxiv_id":"2410.07465","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.07465","snapshot_observed_at":"2026-08-05T13:24:12.955330Z","title":"Preconditioning Low Rank Generalized Minimal Residual Method (GMRES) for Implicit Discretizations of Matrix Differential Equations","venue":"math.NA","work_id":"2ba38a3d-fbbd-42c6-95ad-2b6a8ffef586","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.517499Z"},"links":{"cited_paper":"/paper/2410.07465","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:3717283ddf4e5bcefd98794c5f5785baeccaa7eac548bd838900e38842125ba2","observation_id":"0d93807f-aff8-4c3d-8ed0-fdfcc3f903d9","resolution":{"observed_at":"2026-08-05T13:24:12.967898Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.03909","last_updated":"2025-03-22T02:32:46Z","snapshot_observed_at":"2026-08-08T22:01:45.175583Z","submitted_at":"2025-03-05T21:17:52Z","title":"lrAA: Low-Rank Anderson Acceleration","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.03909","snapshot_observed_at":"2026-08-05T13:24:12.526680Z","title":"Appelo, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.526680Z"},"links":{"cited_paper":"/paper/2503.03909","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:1b6634d7f1540cf8b727f8d95403192dc623598facf7b8d2858d4b922690215d","observation_id":"a2d63831-58af-4b95-855a-212b7a9cf08a","resolution":{"observed_at":"2026-08-05T13:24:12.526680Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.655100Z","title":"Bachmayr, Low-rank tensor methods for partial different ial equations, Acta Numerica 32 (2023) 1–121","venue":null,"work_id":"34e9a5cd-07b9-4997-bf30-bec70d3a2186","year":2023},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.539174Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b270b70d1ff62321a92c164f74e37c572d64193dff04219f380b4164b38ea1b0","observation_id":"44d2e25b-21dc-45d8-98e0-2c5e22cd1c74","resolution":{"observed_at":"2026-08-05T13:24:13.665949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.633309Z","title":"Grasedyck, Hierarchical singular value decomposition of ten sors, SIAM journal on matrix analysis and applications 31 (4) (2010) 2029–2054","venue":null,"work_id":"3c7e7337-f77b-486b-968e-3d61ea0314ed","year":2010},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.549640Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:d9b66b09c0f87742ec4e0822f037f63685ae38292bccfdac80dee2be6db2e2f6","observation_id":"e7b02583-07ae-4741-b610-780ccef3059b","resolution":{"observed_at":"2026-08-05T13:24:13.640385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.614876Z","title":null,"venue":null,"work_id":"ff78a865-9a8d-4f69-8bfc-97bb4c28cbea","year":1964},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.562169Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:cbf6a065a52daa98318e8934fd324318efae26a32a5d77a91eed092a35836808","observation_id":"70d86ea3-91e9-47ac-a082-8e17145474d5","resolution":{"observed_at":"2026-08-05T13:24:13.620484Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.593866Z","title":null,"venue":null,"work_id":"6c54d96b-6109-4757-92a0-08deb8b0677a","year":1993},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.567957Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:1cc7fa69c5a4dfeb7a47e47f90b1e9599089f085836ffc57836ce9a7ceb09544","observation_id":"37b2e825-2dfc-4f0e-b8be-6f2d806d0481","resolution":{"observed_at":"2026-08-05T13:24:13.600936Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.566437Z","title":"Olivier, W","venue":null,"work_id":"00427488-9c54-4110-be42-85e10fbcf3eb","year":2023},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.580144Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:ad6419023e4cd89a26bd01912a4c7a2de0b360bc1a386119aa793d75c6104416","observation_id":"67e19793-4c58-4deb-b4ee-f75da03345c4","resolution":{"observed_at":"2026-08-05T13:24:13.576819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.540949Z","title":null,"venue":null,"work_id":"edf7d7b3-ad0c-458a-8f2f-fd52380d5dcd","year":1989},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.595883Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:5097393dbb8512a99d29d89a5be9a080154ea8bfcadd81abc2d9f6c125e54318","observation_id":"d7d3af0d-a929-471d-8f22-2a0a528fee9e","resolution":{"observed_at":"2026-08-05T13:24:13.547915Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.516366Z","title":null,"venue":null,"work_id":"8de4805f-777c-4ed2-b9a4-f1ab76269573","year":2022},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.604249Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:689b5b2429029e7299d9666831221f9718f65dfdc20c1b6119d83c77550b3ab7","observation_id":"82b682b2-5f06-4236-afca-d6dc7798c89b","resolution":{"observed_at":"2026-08-05T13:24:13.523087Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.485174Z","title":"Peng, Reduced order model enhanced source iteration with synthetic acceleration for parametric ra- diative transfer equation, Journal of Computational Physics 517 (2024) 113303","venue":null,"work_id":"ed2c5cce-8ae9-4d51-bcc7-0973d6cbcaa1","year":2024},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.616843Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:6bbfaf9b1a3442087909569c5da9b29d35caac6f0b481f3a378af454a0971e9b","observation_id":"4af6d68d-a515-4dab-aeda-f8ec8be1870a","resolution":{"observed_at":"2026-08-05T13:24:13.492410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.461437Z","title":null,"venue":null,"work_id":"be5e48a0-0483-4296-a63a-bfa617f674b2","year":2025},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.626087Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:2270a4a3885dcc2a3afb39953c78819ce6a136005899ea77cfc2a762b2c8f225","observation_id":"d9ffc4cf-fd35-4c68-b572-ade7e21eaa70","resolution":{"observed_at":"2026-08-05T13:24:13.467871Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.436919Z","title":"Lewis, Second-order neutron transport methods, in: Nuc lear Computational Science: A Century in Review, Springer, 2009, pp","venue":null,"work_id":"451a885c-87c1-4779-a709-54f2b0a43db0","year":2009},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.634543Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:e512a5e1615b961b6c3feec8155989733f4e2a26911eba771453e47f2f8e6dc1","observation_id":"7f971967-de94-4194-810d-b7fb0b986ea0","resolution":{"observed_at":"2026-08-05T13:24:13.442423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.408175Z","title":null,"venue":null,"work_id":"3f7ef2b8-4f78-4ced-94ef-452b97694575","year":2005},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.645908Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:f068b79dee1a44a1c1f9043889852a6273f975b5c9388a586e6f578bc950b277","observation_id":"2638e431-0ccc-4f8d-80bb-5ed683a1cbdd","resolution":{"observed_at":"2026-08-05T13:24:13.413862Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.387399Z","title":"Kressner, C","venue":null,"work_id":"c0819c78-02f0-44d3-9fad-0f0899ee89a9","year":2012},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.665377Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:efe046c6caed009ace49118357097c7ae186c09cdaed14d062ebc9aaee9684c4","observation_id":"62489def-1fbb-4b75-a715-00cb4b8e098d","resolution":{"observed_at":"2026-08-05T13:24:13.393052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.361979Z","title":"Birken, Termination criteria for inexact fixed-point schemes , Numerical Linear Algebra with Applica- tions 22 (4) (2015) 702–716","venue":null,"work_id":"f07bc529-d557-4704-ac67-09db0369b6a1","year":2015},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.678213Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:7a0085ea6d79236e973b40fd071aa2ff8f555e80a65ba0528aa10edf81717df5","observation_id":"40adf063-b460-4cd2-8e85-1612f5c424f7","resolution":{"observed_at":"2026-08-05T13:24:13.370846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.324080Z","title":null,"venue":null,"work_id":"e40c8722-60a2-4c93-9ddf-d1590062acea","year":1991},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.696540Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:04e7be27885a0493cefe4a289d69ab659955a5637e0f15ff3980b78c5af50e6a","observation_id":"a512bb2d-03b8-41f3-ba24-402a5cba96ec","resolution":{"observed_at":"2026-08-05T13:24:13.330070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.299760Z","title":null,"venue":null,"work_id":"7eac069b-4aaa-4b6b-aa7f-f1411b4f4d14","year":2009},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.705910Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:99297c0cea17a4e4b7d6b0e0de5ff3ca901a7c8290c445505bdc518695121ca2","observation_id":"319f98c6-c6d2-4c78-a709-5803c52f0881","resolution":{"observed_at":"2026-08-05T13:24:13.306602Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.256607Z","title":"Lee, A Multigrid Framework for Sn Discretizations of the Boltzmann Transport Equation, SIAM Journal on Scientific Computing 34 (4) (2012) A2018–A2047","venue":null,"work_id":"b8b081ad-75ed-4db7-a352-f86a726c5f3b","year":2012},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.716325Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:b4ed5b9512481857381c176ac00833242eb62e8fe732af424cb7732e15b60f36","observation_id":"abd55ac0-a24a-4364-a307-4e9c0d441062","resolution":{"observed_at":"2026-08-05T13:24:13.265735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.233463Z","title":"Chen, An integrated finite element method package in MATLAB , California: University of California at Irvine 10 (2009)","venue":null,"work_id":"e828a73c-b2ed-4f41-b8cf-bb30cc9bdc9c","year":2009},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.728482Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:701ae4f9028aa4cf967ca87552358c8c7a8061aab2df36519682423e0309065f","observation_id":"5303679d-6723-4be3-84ca-ae7026231632","resolution":{"observed_at":"2026-08-05T13:24:13.240734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.02021","last_updated":"2016-01-08T11:52:07Z","snapshot_observed_at":"2026-07-06T04:35:35.923583Z","submitted_at":"2015-11-06T10:21:32Z","title":"Reduced Basis Methods: Success, Limitations and Future Challenges","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.02021","snapshot_observed_at":"2026-08-05T13:24:12.743080Z","title":"Ohlberger, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.743080Z"},"links":{"cited_paper":"/paper/1511.02021","citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:10488644d6e2a19497cb1ac9a227282d2a27c32a8c65dcc2a462b7aebff35317","observation_id":"8bdb687c-cd6a-42c5-8c8e-46adbe756fc5","resolution":{"observed_at":"2026-08-05T13:24:12.743080Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T13:24:13.181935Z","title":"Greif, K","venue":null,"work_id":"2ca0af13-aee5-42a2-aacc-17bef49394d4","year":2019},"citing_paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T13:24:12.754030Z"},"links":{"citing_paper":"/paper/2509.00805"},"observation_digest":"sha256:7f0b55af43a4094c271f52b3f1568540737128f8e9711c1d0abebda5267998ad","observation_id":"d566ace9-43dc-464c-9b58-dead296b6174","resolution":{"observed_at":"2026-08-05T13:24:13.194979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.00805","last_updated":"2025-08-31T11:35:56Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-08T22:38:35.187894Z","submitted_at":"2025-08-31T11:35:56Z","title":"An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":3,"verified_fuzzy":33},"total_outbound_references":65},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 4 inbound Pith citation observations for arXiv:2509.00805."}