{"as_of":"2026-08-22T15:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d92239a0bbfe5f315e5610d403bcdc4e1f5025327960d65235395458e0ca69cb","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:22:39.721565Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.21932/citation-record","integrity":"/paper/2506.21932/integrity","json":"/paper/2506.21932/citation-record.json","paper":"/paper/2506.21932"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:23:08.750263Z","title":null,"venue":null,"work_id":"bfc076f6-da4b-4dc9-a1bc-b0d6c12e706d","year":2016},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:10.928701Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:da1625740bcbaa4ef4cb7f796a4239200f50b7fe98158f042c2108efeede858f","observation_id":"e6916235-57fc-424e-a3b2-fa354c6322c6","resolution":{"observed_at":"2026-08-06T22:23:08.855749Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.13182/nse96-a24230","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Ashby and Robert D","venue":"Nuclear Science and Engineering","work_id":"8a8c81d2-f3c2-4a2b-a0ad-f4e4b01a4786","year":1996},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.000847Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:b859eedd853e88170a498abd41763ab82d80e42e81159a59b7db7fcb1d4f5c11","observation_id":"c158c74e-c65a-4310-a0ae-ad3fbd83fabb","resolution":{"observed_at":"2026-08-06T22:22:42.691209Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-1-4471-2437-5_13","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Baker, Robert D","venue":null,"work_id":"d21b0100-d88b-4be6-be26-354d03eb8550","year":2012},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.627741Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:b4765e59e324434315ae0d1899d0e1e44ee6585c8e00ae73265d336267ee6700","observation_id":"0ad88a19-0b43-40b5-a229-37a283d6de3d","resolution":{"observed_at":"2026-08-06T22:22:42.551954Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:33.698654Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.698654Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:753c34f2ddb333d892c15821dd9337de76f7b9eb8e5dacd948aad6aacaed82a4","observation_id":"dce29c08-883f-4702-833b-0ed40225a611","resolution":{"observed_at":"2026-08-06T22:22:33.698654Z","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":"2026-08-06T22:23:08.534396Z","title":"Falgout, William Gropp, Luke N","venue":null,"work_id":"4259a85e-7ab1-4903-bdad-ee119320c916","year":2015},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.778287Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:77932beaee16b87ffb9c7fee585eb150892efa3b1e0161e92335714e54b79d85","observation_id":"b0d7371f-4dcd-4198-88ec-dde69edd5671","resolution":{"observed_at":"2026-08-06T22:23:08.609878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/22m1480938","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM Journal on Scientific Computing","work_id":"7a0b5e9c-ce85-4ae4-87d6-3b908df26b79","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.818787Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:9ddd26499086af351a910fea6986d7d1f53533614b3689f1e5f364cfed5a70dd","observation_id":"ee7e6ec2-329b-4f92-a05f-2b4cffdd8530","resolution":{"observed_at":"2026-08-06T22:22:42.370029Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s1064827598339141","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"BROWN, Robert D","venue":"SIAM Journal on Scientific Computing","work_id":"960abcfd-0afd-4e98-95d2-4f68ae02b279","year":2000},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.827526Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:17304059d608718f49b824db5d0f2c8cb45a3ec368964663ada0a764c67b796b","observation_id":"394691d7-e09a-4972-b1dd-d3acf28362fb","resolution":{"observed_at":"2026-08-06T22:22:42.258453Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:33.832579Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.832579Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:2ead969685583ce04046e4e53efc7a93ecce44b060a880850dae4454cdc1a485","observation_id":"b7d2d17e-296e-458a-af27-7ea41545cd54","resolution":{"observed_at":"2026-08-06T22:22:33.832579Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0021-9991(82)90057-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of Computational Physics","work_id":"a6c0ba0a-8437-4789-9069-61c5f2b2a98e","year":1982},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.845742Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:5e3502b0ff55260d48cdfef04de3876d6c29f8e1d6ef8adbb3862ba70d5c495d","observation_id":"0aaecd2e-6b5f-4e17-93cf-d05f8ed5a49a","resolution":{"observed_at":"2026-08-06T22:22:42.114612Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:33.911921Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.911921Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:cc825d8e166d8f7c246108954616ce2862f51b6ba998a1fb919e339fb039cf16","observation_id":"0988bf5f-27e1-47f4-a774-cdc6ba182d7a","resolution":{"observed_at":"2026-08-06T22:22:33.911921Z","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":"2026-08-06T22:23:08.404099Z","title":"Falgout and Jim E","venue":null,"work_id":"05beb74b-b7ca-484d-b747-164426390d3b","year":2000},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:33.987019Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:dd5cad05f231148af8a127449d5f0b4a87005674134826182b59c49d169169e4","observation_id":"b7caaa6c-0483-42c1-bf9d-594b263289ae","resolution":{"observed_at":"2026-08-06T22:23:08.445155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:08.291219Z","title":"Falgout, Ruipeng Li, Björn Sjögreen, Lu Wang, and Ulrike Meier Yang","venue":null,"work_id":"38d071ad-067f-496e-9306-7c09890fd46b","year":null},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.074694Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:8eb6efc9f3c2c2efb21331d92723c9d39d38461a9820e65a9c64f1dae5d57929","observation_id":"38fd1996-722c-440d-b2b9-e4bfc0382556","resolution":{"observed_at":"2026-08-06T22:23:08.329164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:08.169565Z","title":"Falgout and Jacob B","venue":null,"work_id":"41359142-2f06-4b1c-b69c-fd0a40e33c58","year":2014},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.394318Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:cf19d78051588895ea62fda598e944563efa3b9b39d97e2ed79c82a46bd0bb97","observation_id":"efd49e3f-eee9-4619-8bd5-2eed422a6a36","resolution":{"observed_at":"2026-08-06T22:23:08.212343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:08.048793Z","title":null,"venue":null,"work_id":"65971099-23d4-4ffd-9abc-e33867e5a00b","year":2011},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.487700Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:faff88e21f07b073da3346ba403ce20b37975612f15ddd9bf6d8260431600b72","observation_id":"72a2eb64-3319-42b0-9be0-f398cc1ee5ff","resolution":{"observed_at":"2026-08-06T22:23:08.103311Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/ipdpsw.2013.164","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Jordan, Martin Schulz, and Ulrike Meier Yang","venue":null,"work_id":"4e1b04d0-6d9b-4a77-ba82-11558314fdf4","year":2013},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.536448Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:cc57f9e40826f65e3a1d75ad1cf40d356cd1e74b3ddb94031584a4ec87b8f8bc","observation_id":"94418bb7-808a-4ab1-8c17-37965606d08b","resolution":{"observed_at":"2026-08-06T22:22:41.988883Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:07.936627Z","title":null,"venue":null,"work_id":"0a0fbdcd-3ca3-4848-abe7-46c31041584c","year":2002},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.669967Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:d287031e0fd12bbc372c74b11bec2e3121103aaa415e3154dc87b5543563a881","observation_id":"6afef656-bd9f-421e-ae75-106b56bb688f","resolution":{"observed_at":"2026-08-06T22:23:07.992391Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:36.856647Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:36.856647Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:a62aa1ec9f650bc5ac94088e1e52510d94ec75f3665e70ab8b88819675c27323","observation_id":"33745a4c-8c91-4f4e-acdd-b6908b3d245b","resolution":{"observed_at":"2026-08-06T22:22:36.856647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:36.905854Z","title":"Khalil and P","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:36.905854Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:6f24769bb70e7489721e1ad5160cd7bd1532026d4b697aafe31c68af2f51a141","observation_id":"3b824b35-c5b1-4465-855b-9b699ec23e4c","resolution":{"observed_at":"2026-08-06T22:22:36.905854Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s1064827597327310","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM Journal on Scientific Computing","work_id":"caf670bf-b85b-4ca2-95b2-1c9ce33363d3","year":1999},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:36.997054Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:42c33c64c1cfab432b3736ef8c6e8fd69979a75c0e7e33691499394a2b5a82bd","observation_id":"331c5e00-c9fb-45bb-bdb4-3f6e0e5f0751","resolution":{"observed_at":"2026-08-06T22:22:41.834907Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:07.829067Z","title":null,"venue":null,"work_id":"7af7c81d-0307-479a-bae5-b4a319492213","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.102941Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:bbeb6f06c045c536f36b56b48c7c7fe4847f1a570600424d4db5e24a30aadf21","observation_id":"478b7f44-dfd7-47b1-986c-5ff1350a8183","resolution":{"observed_at":"2026-08-06T22:23:07.877587Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:07.686701Z","title":null,"venue":null,"work_id":"0d7af438-913d-494b-a608-3ea483d78226","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.201113Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:947167f7b2adc7f2f891247b385993185da27eb99cb27ace51d8b657a225c378","observation_id":"4aafbae3-f3f3-4a1b-bf28-52cfb5ad1340","resolution":{"observed_at":"2026-08-06T22:23:07.736446Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:07.542602Z","title":null,"venue":null,"work_id":"692744c2-25b6-4dbe-90aa-0223a5cf44c2","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.282299Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:407ed0c46df9f59eeea36b12da9328cc52238c80683066f1b56774119156a13b","observation_id":"3735155e-6115-4139-8174-180405b35649","resolution":{"observed_at":"2026-08-06T22:23:07.625669Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:07.303598Z","title":null,"venue":null,"work_id":"ab0de89c-45f3-40f8-a847-4232fd3667cc","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.323902Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:16871e1fc3ac48e396cfd1c93205871fd6f9b268632e07e70b6da8a7efe00f53","observation_id":"6dbff915-747f-45e0-a79f-4ae72230050a","resolution":{"observed_at":"2026-08-06T22:23:07.380614Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.00069","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:44.463884Z","title":null,"venue":null,"work_id":"983765ed-6699-4d5e-9bae-ee910d3be013","year":2022},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.356556Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:cb32180f02e3fe9bc90eb8b7964a90502c948795c771ed722d9e237d9887fa8a","observation_id":"33b3baa3-3f8f-4f75-b6db-48f0f18dee5f","resolution":{"observed_at":"2026-08-06T22:22:44.585388Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2172/1764323","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":null,"work_id":"199ec6f9-9c83-4b78-a17b-ef0d47869eda","year":2021},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.400774Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:beef333d19ef86de204aa3c92ea54770ca93153b039b9cfaedf1d0dde9a51753","observation_id":"ce63553c-3dd7-4dd5-8024-621735cc64f7","resolution":{"observed_at":"2026-08-06T22:22:41.716774Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/120883153","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Sadayappan, and Jason Sarich","venue":"SIAM Journal on Scientific Computing","work_id":"931a6032-bb6a-4519-a82b-db1703922e60","year":2013},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.441965Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:59866a4eafbf283fdaf76fd1382e915f7f6ab3388d41bb743e2728c86fc89fe7","observation_id":"1182df91-7888-4cf3-93c0-b0d49ca6946e","resolution":{"observed_at":"2026-08-06T22:22:41.584814Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/21m1434118","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"SIAM Journal on Scientific Computing","work_id":"3c1707ba-2ced-406a-ab5e-77ca545c0cb6","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.487473Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:a03d3162fc032b35af48af8e649be15832c91f7aa80b98f3596289f490b55a7f","observation_id":"2545f42b-67cd-44fd-94a0-787153bb497a","resolution":{"observed_at":"2026-08-06T22:22:41.466466Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1177/1094342020925535","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"The International Journal of High Performance Computing Applications","work_id":"a76bf2f0-f671-419c-8b0b-1f9f540b8104","year":2020},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.534301Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:61c3a663b03fc1b10f8dbe3be61d11a0f87a368cb0e649372ac70ccae104ff3d","observation_id":"e5a883bd-e76f-4041-8eb3-b93adcd207ae","resolution":{"observed_at":"2026-08-06T22:22:41.350990Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.00756","last_updated":"2020-07-21T11:09:32Z","snapshot_observed_at":"2026-07-06T08:54:31.524823Z","submitted_at":"2020-01-31T11:16:55Z","title":"Multigrid preconditioners for the mixed finite element dynamical core of the LFRic atmospheric model","version":2},"cited_work":{"arxiv_id":"2002.00756","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.00756","snapshot_observed_at":"2026-08-06T22:22:44.124158Z","title":"Multigrid preconditioners for the mixed finite element dynamical core of the LFRic atmospheric model","venue":"physics.comp-ph","work_id":"cd365baa-2d80-4dfe-81f6-0263186ef149","year":2020},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.568640Z"},"links":{"cited_paper":"/paper/2002.00756","citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:8b55cf75604d74228983de80764879010b21ba83a5996cc000d94422418b78f5","observation_id":"3e2f0c53-224e-4968-b722-7c78bc96d86a","resolution":{"observed_at":"2026-08-06T22:22:44.241117Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:37.597697Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.597697Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:e20a903479581c08e760c8e0a7fe5475584aa02be818969a32ebad8a493dc582","observation_id":"fffca1da-080c-447a-b6b0-c08d0097ff82","resolution":{"observed_at":"2026-08-06T22:22:37.597697Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:23:07.148004Z","title":null,"venue":null,"work_id":"0963e8f5-d3c2-4580-9ff2-e6f4a3b25128","year":2011},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.639838Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:4aadf1b3a29628ba5c29ba35d7d40011a00e709d08a2c37e00cc4fab906c36e4","observation_id":"1ea7601c-86bd-4958-8d3a-edb7470ef347","resolution":{"observed_at":"2026-08-06T22:23:07.236799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/sc.2010.2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":null,"work_id":"e3d1470e-6f53-4ae3-b404-3eb9201ef382","year":2010},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.659646Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:8d67336986b55d0fac77566b8999a19298dae34f34b56d7e3def35108ee5da65","observation_id":"05508b34-c57c-4b03-954a-942982d74848","resolution":{"observed_at":"2026-08-06T22:22:41.237183Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.957409Z","title":null,"venue":null,"work_id":"ef5fee16-a447-45c6-92d4-e379431b776b","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.696803Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:565109d40d6a4949f990774aab1947234d6a36b84ef6b2070c71e54e1b81cfb0","observation_id":"ae5016d6-db6e-4522-ac8f-c535d3ca111b","resolution":{"observed_at":"2026-08-06T22:23:07.048195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.829156Z","title":null,"venue":null,"work_id":"f6d042f8-c301-48c8-97cd-dbd40f2ce8b8","year":null},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.718344Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:b309b54c59471c45330fa6b759a46e5c2f4d921941c640e6bf075cb82f2df83b","observation_id":"b3796744-0c3e-4815-aafc-51b1339fbff1","resolution":{"observed_at":"2026-08-06T22:23:06.906717Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.593904Z","title":null,"venue":null,"work_id":"60101931-6fde-4f92-8544-7d6281e7185c","year":null},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.745446Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:26df72f40f40aa49c1b553a86a7db93c35a4571533be5e6ff7c7ed1e21f95f5f","observation_id":"23222b13-eea7-4cef-9e92-9aabd1fc0c6e","resolution":{"observed_at":"2026-08-06T22:23:06.684832Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:37.804808Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.804808Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:df6b7b032a3d7c1ea60c92363cc91671b42d8913e2c10ddc19e1b558f9123fa1","observation_id":"08582c8c-5652-4118-b83f-283c6bf94058","resolution":{"observed_at":"2026-08-06T22:22:37.804808Z","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":"2026-08-06T22:23:06.524557Z","title":null,"venue":null,"work_id":"8dcc4245-465e-46d3-993c-12277b39fc24","year":2014},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.847236Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:e78651f712744536344b2c73510c1123428cd08de143c582fb118c7e49acae19","observation_id":"1f68b52a-0c50-4a32-89d9-56ce0ad5aa46","resolution":{"observed_at":"2026-08-06T22:23:06.536256Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/17m1146440","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Olson, and J","venue":"SIAM Journal on Scientific Computing","work_id":"99f254a6-5f48-4a81-b0b1-e6db5c7bf6db","year":2018},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.892442Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:55143769af43421975cc9d0b1c67ffbc5e4958e6df79eabdaeab3cc5790b3fc4","observation_id":"518012c2-a579-48d3-a02e-809ec0340288","resolution":{"observed_at":"2026-08-06T22:22:41.030800Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:37.934334Z","title":"2003.Iterative Methods for Sparse Linear Systems (second ed.)","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.934334Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:3f0218d1ca14fdd2456d430961e08251fe01d6def92cdd229404275e84d30a57","observation_id":"4ffdb604-3028-4499-b4f9-6ffd4dc17e27","resolution":{"observed_at":"2026-08-06T22:22:37.934334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/b978-0-12-605811-6.x5000-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Elsevier eBooks","work_id":"83c066f1-0b8c-4c93-bf20-7256811d97e9","year":2005},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.977353Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:0048c2bb89af5c6fa7fb3e046716bcd2da1d27d370e75f266517cfc1b5cccf96","observation_id":"b835e23c-2d7c-412c-a6d3-19f849303632","resolution":{"observed_at":"2026-08-06T22:22:40.805607Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.409935Z","title":null,"venue":null,"work_id":"b56c003b-dbbf-484b-b09e-fc9b111dff64","year":1998},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.009496Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:437a01187dbfefa3133f9df36d4926f81b788df83a75e6753b09c882a6bd69ec","observation_id":"8571e8a9-b70e-4992-9760-d1903331459f","resolution":{"observed_at":"2026-08-06T22:23:06.467424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.305385Z","title":null,"venue":null,"work_id":"d5b950ad-ee71-4611-baac-f2ffacb82f2c","year":2000},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.056141Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:2aa96b8129a168775c9b82f8410dc57855b793438958bb4138ca19fd870294b1","observation_id":"74595256-6e3e-477d-b8ab-87ff3b454512","resolution":{"observed_at":"2026-08-06T22:23:06.359913Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:06.156792Z","title":null,"venue":null,"work_id":"24166a00-f850-4448-88c5-6af6d930855c","year":1949},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.123330Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:b5d5c0e9ec2933ed1958800a53dbbbd53eb79c9b4a7a67f48fefbab59d781ce2","observation_id":"52f9007c-2230-4048-8d69-79f8cdd02472","resolution":{"observed_at":"2026-08-06T22:23:06.235239Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:05.879651Z","title":null,"venue":null,"work_id":"18a3f7b0-da16-4f41-a491-3d4fe458c85c","year":2015},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.179712Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:33c419d0d9898f648141ec8ee68502b5bb42a486d94c0dc83ed5658f84dd93a5","observation_id":"9339e4fa-663d-4d48-b8c8-051add33ada8","resolution":{"observed_at":"2026-08-06T22:23:06.055273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:04.873130Z","title":"Oosterlee, and Anton Schuller","venue":null,"work_id":"37521007-63ba-4aa6-8223-3e4b4c321408","year":2001},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.255730Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:ec0912a707db294ed57f160369e973f4656056819d92f79213da71a7879cf42c","observation_id":"6e4f1e58-3654-465c-aa6e-195d4abe8cb6","resolution":{"observed_at":"2026-08-06T22:23:05.613008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ocemod.2018.01.007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Ocean Modelling","work_id":"33b3c865-c15d-414d-b433-571e5b259d9e","year":2018},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.317459Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:3d071860ac9ce9f3b344d24e85d95898174cdf7fb514cfa3891b89b084789a3a","observation_id":"d2669841-6b58-468b-a50f-a390f1c126cb","resolution":{"observed_at":"2026-08-06T22:22:40.639898Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"8487.31785","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:43.746819Z","title":null,"venue":null,"work_id":"1cf594df-7ba7-495b-93e8-accd53ccdaa7","year":2018},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.405452Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:f7f0d1ef72439697b2c7c79a38e51482337bc924eb14cdfa8d74517f2f83218a","observation_id":"d92902fa-604f-4920-83e6-fa293eeff611","resolution":{"observed_at":"2026-08-06T22:22:43.883976Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"5058.32250","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:43.339131Z","title":null,"venue":null,"work_id":"2f4b4ee2-ac6e-42db-b9c0-ed7e743c1b8f","year":2018},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.498920Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:edcb75427634279927715c7ffc1d7259de9e4d919b6166eb66a542ce877e9ce5","observation_id":"27b71ccc-6086-4f19-ac26-05e7d2c5004e","resolution":{"observed_at":"2026-08-06T22:22:43.483971Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:03.572218Z","title":"Wesseling","venue":null,"work_id":"cc4eccad-4943-4037-b283-3c4c45f5d018","year":1988},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.578784Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:23eee3d11fcd8cf18ab4afbdbe1543d77b90a40f34a40bc74675ca68534877d2","observation_id":"efbf4b81-1eef-4c02-b1bb-e542162da240","resolution":{"observed_at":"2026-08-06T22:23:03.826941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:23:03.504718Z","title":null,"venue":null,"work_id":"12a43974-e238-4cff-aa39-8d4d1d181144","year":2019},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.636093Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:229fd31f60a24f40c21b714aa59c25703d3ba3c9f289f11a6be52eccf6e9e1bd","observation_id":"cc534571-2fb7-4efa-a458-748b94b3ca30","resolution":{"observed_at":"2026-08-06T22:23:03.549222Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:38.734375Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.734375Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:459fc76eb8aa28d5b4a6287d3a389c7fd074203c7ac15063f6a88d77a109c27a","observation_id":"cf449d75-c038-4af7-af4f-7012b44acc5a","resolution":{"observed_at":"2026-08-06T22:22:38.734375Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nla.2078","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Numerical Linear Algebra with Applications","work_id":"f434fe3d-0994-413f-b681-bdd6c683059c","year":2017},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.833443Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:c9db28a43d9ef349c6807eed582b39717066fe2ee67bde062bdfdb6ace939787","observation_id":"21a6cb40-17fe-472a-a735-ab0887f4e12d","resolution":{"observed_at":"2026-08-06T22:22:40.495179Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s42514-020-00033-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"2020.𝛼Setup- AMG: an adaptive-setup-based parallel AMG solver for sequence of sparse linear systems","venue":"CCF Transactions on High Performance Computing","work_id":"9e4ca84f-8091-4642-8f20-a30d56291087","year":2020},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:38.933585Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:368833c3be982eebaa380f17e8c73625f4db2d79fdeaca19ba8604ce007b4910","observation_id":"54f8a202-d770-4687-8522-224fd2f2003a","resolution":{"observed_at":"2026-08-06T22:22:40.319613Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/nla.689","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Numerical Linear Algebra with Applications","work_id":"db9e09af-e3ff-4222-a154-5130931c7da7","year":2010},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.012085Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:7dd992a2ba54f6a75c58dca6f9c2ae7fab4ac42fec7d82283d42eca74975d3ce","observation_id":"38c07e64-c364-494e-a14a-c0deb3c2b88f","resolution":{"observed_at":"2026-08-06T22:22:40.118099Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:39.093731Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.093731Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:cead5a65e4cfb96ad7807cb068758a88aab0138c2caf02fb8aaf2b67beb764b8","observation_id":"9ef68ee8-4616-4d61-948d-37561c3aad4a","resolution":{"observed_at":"2026-08-06T22:22:39.093731Z","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":"2026-08-06T22:23:03.308402Z","title":null,"venue":null,"work_id":"33813c35-6b6d-48ef-a428-e0f4be989db4","year":null},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.158292Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:0c541c5ebe997c93423b0c565eed0ffc254e03d88ea8f082f04a01a1e06b9434","observation_id":"0fedb58d-5586-4cbc-81de-548c11f78164","resolution":{"observed_at":"2026-08-06T22:23:03.372502Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T22:22:44.863520Z","title":null,"venue":null,"work_id":"c4f63793-0b1c-42cc-9b08-83b802ecb054","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.330674Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:2a397fed2abf8162f713cf8eae62e9d8d6ed3eec65107dc68d36703d86a676b9","observation_id":"06780ac6-f103-4119-bef7-14b7319c5a84","resolution":{"observed_at":"2026-08-06T22:22:45.082824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11434-008-0462-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Science Bulletin","work_id":"5557a64f-0be2-4a7e-96bf-532d31e968dd","year":2008},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.456882Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:79f5753cd857f5e2f37f92351666166d827e3711fc81cabaff4e79ad1e2f0146","observation_id":"bf2af5fa-71f1-4c65-b44b-1e4bab5a4ca0","resolution":{"observed_at":"2026-08-06T22:22:39.933184Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:39.550208Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.550208Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:767e4d3346e56ec5cccab9595dbd6ba262296931aaecf8d1887a34813ed059c5","observation_id":"58151774-cf85-4008-84a6-eefcc00e898c","resolution":{"observed_at":"2026-08-06T22:22:39.550208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:39.619678Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.619678Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:e6e7e4dafc2c5d2b43ad3b952a9b52bab18d6c9ca6b8ae7abd8524e9702ff8ca","observation_id":"900de4fd-e57f-4b7d-b3f5-e4c0b21b2eaf","resolution":{"observed_at":"2026-08-06T22:22:39.619678Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:39.721565Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.721565Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:b27c14ae6708ca037b1e408d63f4eea3421983c60ccf12bf983cdf8729a489f6","observation_id":"142cd31a-19dd-4b99-9401-22104b988476","resolution":{"observed_at":"2026-08-06T22:22:39.721565Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-319-07518-1_8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"In Proceedings of the 29th International Conference on Super- computing - Volume 8488 (Leipzig, Germany) (ISC 2014)","venue":"Lecture notes in computer science","work_id":"4a6a8b5d-6ed1-4b0b-ae16-f06ae0c257f0","year":2014},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:37.781000Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:d8c9429a94a1c361935895b6ec7c62280db9dbf8c9390b72c97e991572bad126","observation_id":"7ab717cf-0557-4afb-bc39-3e21b44a5809","resolution":{"observed_at":"2026-08-06T22:22:41.132379Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:22:34.134202Z","title":"Parallel Comput","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:34.134202Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:fe8098a8ad06e1a8655ec7ef670bfec123097627c8fa600ed95a1b485f476bb6","observation_id":"e44a9911-80b7-4804-89a6-8dd73caefa2c","resolution":{"observed_at":"2026-08-06T22:22:34.134202Z","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":"2026-08-06T22:22:45.637924Z","title":"Retrieved March 3, 2023 from https://github.com/OpenCAEPlus/OpenCAEPoro/blob/main/ examples/spe1a/csr.fasp","venue":null,"work_id":"dfa30fdf-f56f-49e5-9c46-d95bf021e865","year":2023},"citing_paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:39.245689Z"},"links":{"citing_paper":"/paper/2506.21932"},"observation_digest":"sha256:18b457405243d2e621e0a10b72460ae81616c3874ead322273f7f6d232a8b23c","observation_id":"198e0009-fc7f-40f3-9150-ababc09867cc","resolution":{"observed_at":"2026-08-06T22:23:03.205449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.21932","last_updated":"2025-06-27T05:55:07Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-06T22:13:07.503929Z","submitted_at":"2025-06-27T05:55:07Z","title":"StructMG: A Fast and Scalable Structured Algebraic Multigrid"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":3,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":30,"verified_exact":22,"verified_fuzzy":7},"total_outbound_references":64},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2506.21932."}