{"as_of":"2026-08-17T18:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:03b052b8de6540504ba80dbf0c3b7a4a29f383b15bc3ad958d0b1fe160cee673","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:29:41.399032Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2505.10322/citation-record","integrity":"/paper/2505.10322/integrity","json":"/paper/2505.10322/citation-record.json","paper":"/paper/2505.10322"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:29:41.803813Z","title":"S., and Huang, F","venue":null,"work_id":"ceed5d8a-6d7d-4998-9b33-ef6347b62542","year":2022},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.165321Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:16ec80e4bdfd735b902d6d9d912e95b60c2adaa88cb7a074c13310e5ad515846","observation_id":"535773a6-0c36-4395-93d8-da5754ff22b2","resolution":{"observed_at":"2026-08-15T21:29:41.808095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.791083Z","title":null,"venue":null,"work_id":"9291916b-4c8d-4492-aa41-59ce404751e3","year":2020},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.170055Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:079502ad53b1f5ca9a108d5a94dc19aa66e51be9f7145f33d4281683ea8e140f","observation_id":"ea7c1eff-a56d-4529-aceb-fed3b94048a3","resolution":{"observed_at":"2026-08-15T21:29:41.795635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.777942Z","title":"and Wang, L","venue":null,"work_id":"776ca1ca-8fd1-4d9c-a14f-2852a297d0de","year":2019},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.174082Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:ff5830978d72f8d2788c9865a740a00876abb1a3cc6aa89955068648c97b2487","observation_id":"8d42993c-db6f-433d-b15a-de5c8b4f44a2","resolution":{"observed_at":"2026-08-15T21:29:41.782252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.762881Z","title":null,"venue":null,"work_id":"88341195-ebc6-4507-b61d-7fb9b8f51cde","year":2020},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.178151Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:5ecc5ff17eb0ced9a01c42b08f334936c1df5ef1f4f7078534f55bfa3e3f73e6","observation_id":"029cfcf2-2c31-4cfc-a36a-aea8394852d9","resolution":{"observed_at":"2026-08-15T21:29:41.768123Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.751191Z","title":"U., and Jaggi, M","venue":null,"work_id":"857ad65d-ef2e-42eb-963e-84ec6e79fb35","year":2022},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.182284Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:0d93874f57e34b5d27e16be1676dfa9119b7f051adbf7cdfe0fc29f79d05abbd","observation_id":"b06a2645-9bf8-4cd7-8b6e-71ab0a04d725","resolution":{"observed_at":"2026-08-15T21:29:41.754887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.186167Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.186167Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:2fbed27e8237f0eeaf4c006389260fc5e8a92b159d6cc032e266adc82b424232","observation_id":"7edc027c-e959-4fb3-89e6-1cee25ea3d06","resolution":{"observed_at":"2026-08-15T21:29:41.186167Z","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":"2026-08-15T21:29:41.731825Z","title":null,"venue":null,"work_id":"95542851-d56b-43f2-9f65-d4bb390e8606","year":2023},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.190489Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:579d7b116d4e2fe050f415ade679fe735b26ec14ac97e380f7fd5aab953de826","observation_id":"d5ee02ad-5259-48e6-b7f5-40694db5c705","resolution":{"observed_at":"2026-08-15T21:29:41.736328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.718787Z","title":null,"venue":null,"work_id":"beff586b-ef50-40ee-96e3-af8ca9620d34","year":2017},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.194808Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:67ea43a1dfc9c256f9abde47c3d56ba93ffa8c624ef974ed94bc048bdf25b71b","observation_id":"0067a796-500a-4b8b-b8f8-76a6c43c3d5e","resolution":{"observed_at":"2026-08-15T21:29:41.722785Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.198421Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.198421Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:a4b78a3c28c108046f31e82d81b76df459f2b197221ec9ab836c5f0cdb93d596","observation_id":"e988efcb-d375-4bdb-a4aa-9d084da38f4f","resolution":{"observed_at":"2026-08-15T21:29:41.198421Z","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":"2026-08-15T21:29:41.700184Z","title":null,"venue":null,"work_id":"981859b8-ed1b-4ecb-b997-83ce21e543a4","year":2018},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.202310Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:d6569712b34fb3ee183ee431592735d50d3ee6dcbe07e62751204fedcdc89c2c","observation_id":"6a51087f-549d-4581-9099-5f4c41354cc2","resolution":{"observed_at":"2026-08-15T21:29:41.704816Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.687039Z","title":"and Wright, S","venue":null,"work_id":"0bf57e6f-f14f-49a0-ad7d-7fa2c2fab392","year":2015},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.206059Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:97301976011618a47f5d4d3f9f675bd18ebcd383b898bbb4ec99ade4502a2b85","observation_id":"bd9c90e8-7220-4bfa-b3ba-7778eaa635cc","resolution":{"observed_at":"2026-08-15T21:29:41.691360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.673612Z","title":null,"venue":null,"work_id":"35289092-5291-482e-bb38-8d70f375009e","year":2017},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.210153Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:dd51d786cf179610d20701e266b836cb266c92bd99c52e5d3ac902908e90b3de","observation_id":"00e00418-9378-4da3-8735-95a3de9eecf0","resolution":{"observed_at":"2026-08-15T21:29:41.678485Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.659400Z","title":"B., Harada, N., Sawada, H., and Fujino, A","venue":null,"work_id":"d005697d-2c8f-4fad-b6df-e8f5a06b8346","year":2021},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.214617Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:3eb1861c0e840549d2998b31f62769abe56ca4568204fd3f9644dd12f2fbc60f","observation_id":"f0930564-e6ad-4709-b603-c4686c607954","resolution":{"observed_at":"2026-08-15T21:29:41.663555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.642828Z","title":null,"venue":null,"work_id":"86031992-870f-4374-9ab4-2bab202e028d","year":2016},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.219401Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:c21b5d919082c70f5236a71b1726510bff63a2ed5ccb80c6faafceff54a10aa7","observation_id":"0c4574b5-4422-49e3-9a12-569704dc2eeb","resolution":{"observed_at":"2026-08-15T21:29:41.648192Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.629590Z","title":null,"venue":null,"work_id":"7a630ebe-7568-48fc-9c26-430ec1dd67ff","year":2020},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.222859Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:e0c3f620282b21b78b73ba0c625a603e6b7c6284256e994362f1c3f365b0e586","observation_id":"2b66e5ff-7ab8-42df-ad7d-783465c130a4","resolution":{"observed_at":"2026-08-15T21:29:41.633744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.616979Z","title":null,"venue":null,"work_id":"6993a084-4708-471e-8a14-fbb850d54fd3","year":2019},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.226555Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:75b2695a6dc6c261d249b0dba16be89484c2d994dd485957ae92a8be2ab929bb","observation_id":"f2ececa9-3a9c-46b7-8ada-4f6585f75b15","resolution":{"observed_at":"2026-08-15T21:29:41.621331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.1556","last_updated":"2015-04-10T16:25:04Z","snapshot_observed_at":"2026-08-14T23:20:42.336514Z","submitted_at":"2014-09-04T19:48:04Z","title":"Very Deep Convolutional Networks for Large-Scale Image Recognition","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.1556","snapshot_observed_at":"2026-08-15T21:29:41.230163Z","title":"and Zisserman, A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.230163Z"},"links":{"cited_paper":"/paper/1409.1556","citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:30bf657190188a538e8246cd607178a1ab234360ff8c980767e94a73acc1f7cf","observation_id":"2402b13d-ebb7-42f3-9128-9eba086b0e56","resolution":{"observed_at":"2026-08-15T21:29:41.230163Z","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":"2026-08-15T21:29:41.602880Z","title":null,"venue":null,"work_id":"934bd0ca-0832-4dda-b6af-2f2add8836b5","year":2020},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.234155Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:b4435281b0879b52dada4871f73f60d584720e7c2051bbbcbbd04ba8b773ae7d","observation_id":"bacb271e-5721-4576-b19e-322895e5b465","resolution":{"observed_at":"2026-08-15T21:29:41.607389Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.591002Z","title":null,"venue":null,"work_id":"0dd67f6c-22d1-45fc-b77e-f906851f2c87","year":2017},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.238594Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:25e33b229265051f9b907a2863a18fb9da3ae79b2b6c949b9f5706590433bc2d","observation_id":"3e27069b-f4d7-4764-b4f5-c929db4a8740","resolution":{"observed_at":"2026-08-15T21:29:41.595320Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.01172","last_updated":"2023-09-03T13:27:56Z","snapshot_observed_at":"2026-08-16T15:03:42.094374Z","submitted_at":"2023-09-03T13:27:56Z","title":"FusionAI: Decentralized Training and Deploying LLMs with Massive Consumer-Level GPUs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.01172","snapshot_observed_at":"2026-08-15T21:29:41.242474Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.242474Z"},"links":{"cited_paper":"/paper/2309.01172","citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:4ce9b46e2f1745d9f4d2317e8e5c41ace11066d2cf375a4217e78a13b6cd2c8e","observation_id":"f299a5c1-6fb1-4442-9b4a-0fd91086e232","resolution":{"observed_at":"2026-08-15T21:29:41.242474Z","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":"2026-08-15T21:29:41.578450Z","title":null,"venue":null,"work_id":"d85dae81-d59a-4760-8c0e-ab2890b84458","year":2020},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.246459Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:1fc6ba4484e75544a143e784a66fdc8a2bc5238aeca6396ea0567bfe928710e4","observation_id":"8e7a7474-b6fa-4b0f-9a02-fa4251a6f1df","resolution":{"observed_at":"2026-08-15T21:29:41.583100Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.565648Z","title":null,"venue":null,"work_id":"fadff1b8-6f5b-4857-ba45-87cb520448c5","year":1991},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.250150Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:44ebc90164c665243cd4666ded87a17fb5390d0fdbc7af699bda2a97cd8a4f83","observation_id":"d1a42e75-bda3-4041-932b-0b039909eed7","resolution":{"observed_at":"2026-08-15T21:29:41.570476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.553620Z","title":"and Hale, M","venue":null,"work_id":"31d363c1-aba8-49df-8022-7f005173a812","year":2022},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.255383Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:39e50cf8737c85d6f05fbc624a686ba1a1329922b936de996691dc843355c7a9","observation_id":"0a1a99e5-6245-46c7-94c9-c1c3c87693c0","resolution":{"observed_at":"2026-08-15T21:29:41.557324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.259166Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.259166Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:dfa1b3bd4f62a79a183de89df9f0766638f992029c0709bc2ee203e579e4419d","observation_id":"30b66080-7485-4fee-99a3-1a6c609f90c4","resolution":{"observed_at":"2026-08-15T21:29:41.259166Z","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":"2026-08-15T21:29:41.531914Z","title":"and Yin, W","venue":null,"work_id":"169a9d8d-f216-4006-9389-6a56e72307bb","year":2018},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.263257Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:b6a032b45f4d0082eb7567caa7ed6b0eb14be488bf8f886810dd5dc960027bb2","observation_id":"b3b98a86-e1cd-4c85-8458-f2b2083d6ef8","resolution":{"observed_at":"2026-08-15T21:29:41.535808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.08215","last_updated":"2021-01-04T11:54:50Z","snapshot_observed_at":"2026-08-14T17:26:43.051151Z","submitted_at":"2019-01-24T03:31:45Z","title":"Fully Asynchronous Distributed Optimization with Linear Convergence in Directed Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.08215","snapshot_observed_at":"2026-08-15T21:29:41.266949Z","title":"and You, K","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.266949Z"},"links":{"cited_paper":"/paper/1901.08215","citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:a8b3f0484ca7d95bf57cf33eefb29e917f182b4173955195cb4d14221b371a82","observation_id":"86e36a01-5e9a-4af2-afd9-dc75f89b8642","resolution":{"observed_at":"2026-08-15T21:29:41.266949Z","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":"2026-08-15T21:29:41.519768Z","title":null,"venue":null,"work_id":"f3158226-415e-419e-8cc7-9623ad3e9c18","year":2018},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.270945Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:65efe3180715f9113a839821936bd4daea772d667dd8d73b64500d816abab3db","observation_id":"03752f97-5bd9-42ba-ab38-d6f51f235147","resolution":{"observed_at":"2026-08-15T21:29:41.523856Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.11617","last_updated":"2024-07-29T11:51:40Z","snapshot_observed_at":"2026-08-16T15:14:19.547085Z","submitted_at":"2023-07-21T14:36:40Z","title":"Robust Fully-Asynchronous Methods for Distributed Training over General Architecture","version":2},"cited_work":{"arxiv_id":"2307.11617","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.11617","snapshot_observed_at":"2026-08-15T21:29:41.430605Z","title":"Robust Fully-Asynchronous Methods for Distributed Training over General Architecture","venue":"cs.DC","work_id":"c04b1953-8309-40c7-825d-892f870c9b16","year":2023},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.386427Z"},"links":{"cited_paper":"/paper/2307.11617","citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:87a5aaab2b6bd9b3c776c47bd69241a15c77989d148a0ad60e335131c79792b1","observation_id":"f9e4f157-d981-4414-be2e-b53b30aae9a8","resolution":{"observed_at":"2026-08-15T21:29:41.437213Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.506410Z","title":null,"venue":null,"work_id":"aebf0571-c6c9-41e9-9064-b52d21286a91","year":null},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.390626Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:64896f10c84dd17e10aebb807f5be58e7968380b1a8d255d2e41984f45c31a54","observation_id":"b7b975ef-f4ff-47de-a229-6aace5a23a3e","resolution":{"observed_at":"2026-08-15T21:29:41.511537Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.494033Z","title":"However, in [18], they use a diminishing step size rule to reach an asymptotic result, whereas we use a fixed step size","venue":null,"work_id":"f3c76f48-053c-4710-9673-e4a78755566a","year":null},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.394897Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:c0138c83c6669577684054b6cd016ec23cc267f6ba4a0821d4068b365f66c8f1","observation_id":"b8ed890a-5de4-489a-a300-7ae69a0227cf","resolution":{"observed_at":"2026-08-15T21:29:41.498276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T21:29:41.481680Z","title":null,"venue":null,"work_id":"5858e59c-856f-4463-9374-b1b4c8bc5b5f","year":null},"citing_paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T21:29:41.399032Z"},"links":{"citing_paper":"/paper/2505.10322"},"observation_digest":"sha256:f65a5b43c485491d90c980ab2a906b0fab24095c3b5cdf472378602d10a4afaf","observation_id":"ec1a6034-b15c-47a0-868c-af41e92cfa17","resolution":{"observed_at":"2026-08-15T21:29:41.485333Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.10322","last_updated":"2025-05-15T14:06:38Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-15T21:09:01.656044Z","submitted_at":"2025-05-15T14:06:38Z","title":"Asynchronous Decentralized SGD under Non-Convexity: A Block-Coordinate Descent Framework"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":21,"verified_exact":1,"verified_fuzzy":8},"total_outbound_references":31},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.10322."}