{"as_of":"2026-08-19T13:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0659412e128ee2dd6661418bd4d138af3ce80e6b1e689e0a1a480b53117b15a1","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:47:03.448851Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.07807/citation-record","integrity":"/paper/2501.07807/integrity","json":"/paper/2501.07807/citation-record.json","paper":"/paper/2501.07807"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:47:04.405837Z","title":null,"venue":null,"work_id":"2ed9a027-523b-4a92-b0f6-ed7f4a6f7f92","year":2019},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.245044Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:ea414402817f45905e038fd8e2e50c4235d45c6e18a728067811b719c8f23469","observation_id":"4271c3ab-5b12-4fcb-88ac-97bfab1c3349","resolution":{"observed_at":"2026-08-10T20:47:04.412841Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.377392Z","title":"In: Ad- vances in Neural Information Processing System, vol","venue":null,"work_id":"693e82d8-45e6-4566-87f1-b7641694a785","year":2021},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.254312Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:83cf69e21dd3f55cef4ff15be23cb5ee125792f1a28f683b77363546ed80261e","observation_id":"74e2dc92-e82c-444b-bebc-6ca36f5faaa0","resolution":{"observed_at":"2026-08-10T20:47:04.382898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.349735Z","title":null,"venue":null,"work_id":"21bc4f28-445f-4db2-8302-6e54e8ca4a2c","year":1975},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.260555Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:5423a286022d46d34a3d14f4d3c587dc85d9f61bd9595fbd8ecf8b095678423b","observation_id":"d9a7a84f-f545-4c0b-b3b0-7d4a30c22226","resolution":{"observed_at":"2026-08-10T20:47:04.358059Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.323945Z","title":null,"venue":null,"work_id":"1911417c-a6e7-47e9-9eaf-6cc9b03fe0a5","year":2022},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.267185Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:1d836c1967f2af779c716cf648d545fea6f545c963c4425adbaf5053b8fa6e18","observation_id":"875400f3-240e-4018-84b9-e365264c01ef","resolution":{"observed_at":"2026-08-10T20:47:04.330173Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.294045Z","title":"Set-Valued Ana l","venue":null,"work_id":"7fc8990a-ac64-416f-8f7a-bb5252d4a3ce","year":1997},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.273600Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:9dd2743e5fb0f312ec9707ed585f84bd4da53d8fc3f46b1cec37991fcce394fc","observation_id":"9d547a55-0e72-468e-9ce6-3ab01c07f54c","resolution":{"observed_at":"2026-08-10T20:47:04.301929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.264021Z","title":null,"venue":null,"work_id":"f73f11b3-3491-42f9-8853-91b9399f1441","year":2016},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.282313Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:921e130877acb8d058350b9450e45ae1816e7fc2af799f69ec2aa7616f55a94c","observation_id":"7079486b-bc73-4fa3-a66c-78f582ad22ee","resolution":{"observed_at":"2026-08-10T20:47:04.272436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.12179","last_updated":"2025-03-15T14:17:39Z","snapshot_observed_at":"2026-08-18T02:04:35.468676Z","submitted_at":"2024-08-22T07:51:55Z","title":"HPR-LP: An implementation of an HPR method for solving linear programming","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.12179","snapshot_observed_at":"2026-08-10T20:47:03.289458Z","title":"arXiv preprint a rXiv:2408.12179 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.289458Z"},"links":{"cited_paper":"/paper/2408.12179","citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:859f681598f06c0026db2b2661bd7985ba027d3827e307fcb320cf8ca99f7b26","observation_id":"7157c3d5-d162-41ef-afa7-f292c90a6d72","resolution":{"observed_at":"2026-08-10T20:47:03.289458Z","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":"2026-08-10T20:47:04.233135Z","title":null,"venue":null,"work_id":"4eb59ffa-903f-4604-a8ff-4042e9f01a2e","year":2016},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.296295Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:33469cc282b2072eb31e44d94c2ba03ff666b392a6696e33952ec48f5280d0e2","observation_id":"6084f3d1-27e8-4119-b157-e35d5f8caa10","resolution":{"observed_at":"2026-08-10T20:47:04.246242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.196498Z","title":"In: Splitting Methods in Communication, Imaging, Science, and Engineeri ng, pp","venue":null,"work_id":"8abbc9d1-2800-462e-b8e1-6c69489c04c5","year":2016},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.301533Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:247768aeacb5460c9fa0ba70cc98f3496b36ddc58686708fdb04b3037b7cd1d7","observation_id":"7b78559a-74bf-478a-85e3-090d01c54911","resolution":{"observed_at":"2026-08-10T20:47:04.211504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.146682Z","title":"Nonlinear Anal","venue":null,"work_id":"e4ef1466-4038-467d-9048-5d2fd653273e","year":2010},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.308678Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:a6e711e946ee845e9e3e50e85383aa606a9b97d0899e721c3e7fcfe31c5437c4","observation_id":"dc5a9473-28d3-46e1-b3db-95a88f8f2018","resolution":{"observed_at":"2026-08-10T20:47:04.167360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.120445Z","title":null,"venue":null,"work_id":"ba0f7b2b-3a3a-4652-a0d7-171bad4cb679","year":1992},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.314331Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:6723e6a2355735060d3c1c2da4df615cda2f5afc1fb202d24ea6143f5304eb10","observation_id":"0d5f2fdf-5b09-4734-8ec7-41f4558f3fb9","resolution":{"observed_at":"2026-08-10T20:47:04.127142Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.086525Z","title":null,"venue":null,"work_id":"4cc3aeb6-f736-4691-a201-c8c3da02a0fa","year":2013},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.320588Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:b8b19a02645b11ffbc7617210bfe9f318d3f7bab20e5685c579f5bf6c018e737","observation_id":"18b1fde8-1545-4fa0-b0bd-192f9898568f","resolution":{"observed_at":"2026-08-10T20:47:04.099575Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.056889Z","title":null,"venue":null,"work_id":"376c96b0-b4de-465a-8c3a-47ff408daa0f","year":null},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.327264Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:33ffd83390eed74df688ad5bfe9dffb068683446f321361d251fab6ec502a44e","observation_id":"14290ec3-8bef-48a4-826a-e14a85531f7f","resolution":{"observed_at":"2026-08-10T20:47:04.068832Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.024587Z","title":"IEEE Trans","venue":null,"work_id":"d05ff93e-1351-485a-a27f-2cea86d146e0","year":2016},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.333376Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:5568e3c799fd4b1081a8f064eb7ec8901aef4bb78ab8e468a85e81e329582e3f","observation_id":"64387c96-465f-4923-b8c8-f3ec5af4dbe8","resolution":{"observed_at":"2026-08-10T20:47:04.032370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:04.001917Z","title":null,"venue":null,"work_id":"2ea9d2f1-f497-47de-a86c-302197e34027","year":1979},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.343044Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:e8c06f2c483f77f924bf9a6e94a617bd456654dd7b5a5c4d926e14eb7ce7f1e8","observation_id":"a0c2a2c3-bf74-47b5-a86f-c6214bf02546","resolution":{"observed_at":"2026-08-10T20:47:04.009061Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.957214Z","title":null,"venue":null,"work_id":"2cd747cc-cb63-478f-b9a6-ee083727a89c","year":2018},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.358663Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:bbc4fe59b48813169449fdc90457380cc7cd32f48dc2d4a07a379c18e1089d02","observation_id":"e72d1a0d-853f-4623-a3e8-fcb5063bb217","resolution":{"observed_at":"2026-08-10T20:47:03.969675Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.931290Z","title":null,"venue":null,"work_id":"caea321c-4dea-4b23-8182-7bba6d22d2f0","year":2013},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.363966Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:39d9595ae57b0491964a8581f72d51cde691e82220e700ac43af2d6aef7ae0ec","observation_id":"5ddb974e-d8fe-468e-8305-a4619d8f854c","resolution":{"observed_at":"2026-08-10T20:47:03.937876Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.908100Z","title":null,"venue":null,"work_id":"4198bc08-bed5-4b1e-b6bc-8144142ac4e1","year":1967},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.369594Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:3976f11ec0ba5c35a9fc408890ba79482d00c602d82fe0714ec472e1b2348937","observation_id":"89e0c0da-3291-4c8c-acde-4b6b26ff56ae","resolution":{"observed_at":"2026-08-10T20:47:03.914525Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.873308Z","title":null,"venue":null,"work_id":"b8f7693f-ee1d-4127-b6f6-94715748a697","year":1970},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.377048Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:aef0bc6c6b5aee9df293817f607d65acc3b2284de0b23d2e8a5d5cc0324fb288","observation_id":"61494465-ff6e-41ac-bf55-7aa09e78fa0e","resolution":{"observed_at":"2026-08-10T20:47:03.888711Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.383940Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.383940Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:fd353da1b8896360ab5a2d72b875a66d22b5219a49c28eb8cdc284ab07180f2d","observation_id":"1c278f09-6218-49bc-b6f5-baefa1a389e3","resolution":{"observed_at":"2026-08-10T20:47:03.383940Z","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":"2026-08-10T20:47:03.825864Z","title":"arXiv preprint arXiv:1 611.03167 (2016)","venue":null,"work_id":"e6401918-e1e8-4dfc-8e90-cc5e9f179936","year":2016},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.394792Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:57998c1033137c3fdde0609b0c951a5e9117b2329c69cdede5e7e140250a2fda","observation_id":"9dac5f22-fd13-4533-8013-7a79d7e4dd9c","resolution":{"observed_at":"2026-08-10T20:47:03.832128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.788868Z","title":null,"venue":null,"work_id":"2dc0b40f-d818-4597-a73a-d923c1a3ed19","year":2023},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.403428Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:81dcab850aaff4031827ef82bd893060411efa3a2ba1f7c1e1f433774e86ee65","observation_id":"d8271f53-b7bf-4e5d-926f-6d63d95ec841","resolution":{"observed_at":"2026-08-10T20:47:03.796540Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.764280Z","title":"arXiv preprint arXiv:24 03.18618 (2024)","venue":null,"work_id":"433502ec-7971-41b3-b02c-effb43acbfa0","year":2024},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.413831Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:e5c5e49097321c01a1ef9b91a226c5f95fbf779771ad1209494de21a36a1ce35","observation_id":"8b1c124d-fef0-4e24-8dc0-8d0b70196055","resolution":{"observed_at":"2026-08-10T20:47:03.771708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.718261Z","title":null,"venue":null,"work_id":"cdebe48a-6728-4911-b81f-d4d94b9f491f","year":2018},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.419810Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:b7c67a993c759867b6e6607da49efa6bfe95a5bd2c4109e84039f6261653c184","observation_id":"2333a452-e5c0-4f0d-83a0-c951c4786466","resolution":{"observed_at":"2026-08-10T20:47:03.730616Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.682517Z","title":null,"venue":null,"work_id":"fe753a4f-5e20-4c55-814f-7928df195c44","year":null},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.427303Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:c5e7de195e29fbb3e759d13aa9b5b99d49d93144a8a864aec8cc77d999356fab","observation_id":"b9b44ed1-7c72-4eaa-a9b1-f15a32eb80fb","resolution":{"observed_at":"2026-08-10T20:47:03.690394Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.620730Z","title":null,"venue":null,"work_id":"ca567455-ffc5-4d21-af12-0fc68635f1ad","year":null},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.433845Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:0b523bf5030991d1982c08ada5a64b1b6a13ed15f9712a617947acc9ac4869f8","observation_id":"99348a71-26fc-4a1b-8f0a-6f83038e8c50","resolution":{"observed_at":"2026-08-10T20:47:03.632623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.582303Z","title":null,"venue":null,"work_id":"64a8e4dc-e6d4-45d0-8aa9-e6406a6114f1","year":null},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.440036Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:65322fac55e9edd41d47bf552a1ce5bdebead608c18b57aa6b72aa69537760e0","observation_id":"3aabecb5-a31b-4268-a812-dc615a3c4d2c","resolution":{"observed_at":"2026-08-10T20:47:03.592275Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:47:03.547475Z","title":null,"venue":null,"work_id":"2f69a25e-56c0-4e27-91ca-73a7bcce6dca","year":null},"citing_paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T20:47:03.448851Z"},"links":{"citing_paper":"/paper/2501.07807"},"observation_digest":"sha256:7fb03e5442f116849b40b7933da4edb6f60e9fde9e31fdc74df9a5a7e968a1d3","observation_id":"ff39dccc-8dc0-40b8-8d4f-788641fec9c4","resolution":{"observed_at":"2026-08-10T20:47:03.561021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.07807","last_updated":"2025-01-14T03:17:09Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-18T18:46:13.981243Z","submitted_at":"2025-01-14T03:17:09Z","title":"Peaceman-Rachford Splitting Method Converges Ergodically for Solving Convex Optimization Problems"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":28},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.07807."}