{"as_of":"2026-08-08T18:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7c399a2bb1b17526c245337d8e8a4d07a7ff5c9d96d612827e6ab4b501757b89","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:06:48.451980Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.00961/citation-record","integrity":"/paper/2506.00961/integrity","json":"/paper/2506.00961/citation-record.json","paper":"/paper/2506.00961"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:44.789936Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:44.789936Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:4dbe2c8f7cf43e2402f8a49c2e1932ead251298d3a8b39cbd1359ff38d075a77","observation_id":"79a676cc-b8d0-4fb4-b144-c2e1e3b87877","resolution":{"observed_at":"2026-08-07T12:06:44.789936Z","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":"2026-08-07T12:06:53.497810Z","title":"L., Ravikumar, P., and Wainwright, M","venue":null,"work_id":"11818863-4d5c-47c1-b729-195a336e7f7a","year":2012},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:44.852290Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:144144c3ff324ba7e88d1491161f45a82cc3d85e2ea645da8d45f2e5678f727f","observation_id":"2125905b-e13b-49cc-94ab-a9f3cc20d6fa","resolution":{"observed_at":"2026-08-07T12:06:53.602951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:53.400669Z","title":"Q., Cevher, V., Levy, K., and Mertikopoulos, P","venue":null,"work_id":"917ed656-8b70-4477-8630-c3cbe9155162","year":2022},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:44.940228Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:331cef9e7b124599ba8fb832c3481f6c02d1f9addc514430f8a658460db759f6","observation_id":"59380fa1-f985-4cbe-88a7-6c1bc2fa1c45","resolution":{"observed_at":"2026-08-07T12:06:53.433222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:45.025169Z","title":"Stochastic gradient push for distributed deep learning","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.025169Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:649dfc9cde7f1fb8d4580dc502a6a61f82892756cb9012791adbf2ca6d20c623","observation_id":"f0aaccaf-f6d1-4bfd-96d2-9723e40b3ecb","resolution":{"observed_at":"2026-08-07T12:06:45.025169Z","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":"2026-08-07T12:06:53.265064Z","title":"Z., Hakimi, I., Schuster, A., and Levy, K","venue":null,"work_id":"ff73c2a0-6698-4f1d-ba37-4a3f2c32e825","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.085867Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:14d0230d4e363b602c1b5ff9204582915f02b983cccf3941d61abbd339d47f6b","observation_id":"d2f156c0-e2b0-4a83-af08-71e0d2f1f62f","resolution":{"observed_at":"2026-08-07T12:06:53.345392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:53.122024Z","title":"Randomized gossip algorithms","venue":null,"work_id":"a53ce182-854e-479d-9fdf-c37b987d1a72","year":2006},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.191299Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:fb3b117d23eef6fdc2244bb5c60a50e786c33a9f48ea7db4e84e4187ea2032a3","observation_id":"08da5663-4b59-42f2-b821-360a98ec7d31","resolution":{"observed_at":"2026-08-07T12:06:53.184624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:53.035387Z","title":"Anytime online-to-batch, optimism and acceleration","venue":null,"work_id":"3956d954-c152-4c5a-b801-ec0354d9c15f","year":2019},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.290279Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:1042093ad344d4e9b06f37e8856773651571c43e6e3d0d00faa290d56095bd95","observation_id":"f9fd2bfc-e29a-4bb8-a642-50cc63ebb651","resolution":{"observed_at":"2026-08-07T12:06:53.084589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:52.914534Z","title":"and Levy, K","venue":null,"work_id":"fe4fe4b2-7996-4f86-8a93-c60604ac4fe0","year":2024},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.330253Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:e0ba2818a699049b4c8a09c8edf98ca454cf4ad81e29481b2d72c3a850406a07","observation_id":"e9afcde2-4cfb-4930-937f-cf74bcf7cfa9","resolution":{"observed_at":"2026-08-07T12:06:52.978437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:52.808639Z","title":"and Levy, K","venue":null,"work_id":"072f5471-2dd4-4371-88e0-c0bf1118d1a8","year":2025},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.379776Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:71d1c89af8c9238f2cc9353988d404a9186ebcf871eaeef693d225bbb3c0e47a","observation_id":"f39cf1c4-ffcf-4185-a5cf-f8b290b91ed8","resolution":{"observed_at":"2026-08-07T12:06:52.857134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:52.702154Z","title":"Optimal distributed online prediction using mini-batches","venue":null,"work_id":"08a8f402-c6b9-4489-a46f-305a2ffa7a75","year":2012},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.452655Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:7cbd8dd4953c9fac79933f7044d0861632e5e5a30a6461f6aa84cc82eb9faef7","observation_id":"f23dde62-94a7-403d-aafc-c67194dfa73a","resolution":{"observed_at":"2026-08-07T12:06:52.759196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:45.538373Z","title":"and Scutari, G","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.538373Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:71773c4ebc5f890795c8ba7729a9b3cab3c308212b7c38155a3525e1e1c96a00","observation_id":"bd45093c-4011-4e6f-990b-1b17af511622","resolution":{"observed_at":"2026-08-07T12:06:45.538373Z","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":"2026-08-07T12:06:52.532244Z","title":"L., and Vladu, A","venue":null,"work_id":"3ddadbb1-d5cc-471f-9a49-de495d1a4dc4","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.598221Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:f03744f88ed887c033b371555a76389f3fc3ffa075eb2b58e525c535bd4db4b6","observation_id":"5f5015ae-c880-4296-adce-f0fe0b097d12","resolution":{"observed_at":"2026-08-07T12:06:52.619640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.01545","last_updated":"2023-04-20T15:22:15Z","snapshot_observed_at":"2026-08-07T21:22:45.897612Z","submitted_at":"2022-02-03T12:04:36Z","title":"Byzantine-Robust Decentralized Learning via ClippedGossip","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.01545","snapshot_observed_at":"2026-08-07T12:06:45.669840Z","title":"P., and Jaggi, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.669840Z"},"links":{"cited_paper":"/paper/2202.01545","citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:586f0f448167748dd87399a6797f851b1815b6fd282bbe2ce95f6b3f97889a20","observation_id":"8439c9f1-d2c1-4acb-b963-ac3ad8741e41","resolution":{"observed_at":"2026-08-07T12:06:45.669840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.06335","last_updated":"2019-09-13T17:26:20Z","snapshot_observed_at":"2026-08-02T11:40:53.964079Z","submitted_at":"2019-09-13T17:26:20Z","title":"Measuring the Effects of Non-Identical Data Distribution for Federated Visual Classification","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.06335","snapshot_observed_at":"2026-08-07T12:06:45.708798Z","title":"H., Qi, H., and Brown, M","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.708798Z"},"links":{"cited_paper":"/paper/1909.06335","citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:08d308a68754b2c9e72961521bfec3e042c25bc29dea6d312d6e7eabca56f4c2","observation_id":"9060c504-130d-499e-88ac-af83803ef361","resolution":{"observed_at":"2026-08-07T12:06:45.708798Z","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":"2026-08-07T12:06:52.370137Z","title":"B., Avent, B., Bellet, A., Bennis, M., Bhagoji, A","venue":null,"work_id":"3991fd91-6ef2-4af3-91f5-2888a38d4abd","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.814330Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:6f8eef23f2f466fb2d2e84237a52a324972ef28ed146ca2a2283cff327299a75","observation_id":"3a078eec-7a3f-4232-8de6-8b4aa95659d4","resolution":{"observed_at":"2026-08-07T12:06:52.445867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:52.169479Z","title":"Y., Bach, F., and Cevher, V","venue":null,"work_id":"ade050a5-8e4b-4e38-8458-eaca23026f95","year":2019},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.879196Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:385ecdc55de65291c2e59ecdd569db4c34dd367b4fe2da4f9932db91cda833c8","observation_id":"650737b1-adef-4e24-b312-909380bb116c","resolution":{"observed_at":"2026-08-07T12:06:52.267653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:45.944767Z","title":"Gossip-based computation of aggregate information","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:45.944767Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:f2ae83d3dc3e6542fb7a95705a51653baff4780485a975525ad968a44ea7bb82","observation_id":"c127877a-b40a-4559-a12f-6bc3e13754bc","resolution":{"observed_at":"2026-08-07T12:06:45.944767Z","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":"2026-08-07T12:06:52.023452Z","title":"Decentralized stochastic optimization and gossip algorithms with compressed communication","venue":null,"work_id":"aada1580-ab77-4b58-9690-3eb772fd51da","year":2019},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.058631Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:7f5d89dd080dcfdac13c2234e544ca7b388502209d0b4833ece3b7acfef045bd","observation_id":"6c4bfbc3-cfbb-470e-9bc3-a7153ac137db","resolution":{"observed_at":"2026-08-07T12:06:52.090646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:46.145632Z","title":"A unified theory of decentralized sgd with changing topology and local updates","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.145632Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:1b2051a5c8d83c8ee28df1d5c1ceb5d27a67176977c5fdcd332c9a3817fe9faa","observation_id":"acf3696b-883a-41c1-b71f-af8ebe317b79","resolution":{"observed_at":"2026-08-07T12:06:46.145632Z","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":"2026-08-07T12:06:51.844013Z","title":null,"venue":null,"work_id":"440c3c55-c2b8-45fc-b0cb-ad7626908e37","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.224452Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:344c00f1ed832f16c8ffef7a989e5e7b3ccfb7ebfb24ded1238d6cb68a7a00a2","observation_id":"6a1f6495-8fe9-45dc-b6c4-df4ba85a1750","resolution":{"observed_at":"2026-08-07T12:06:51.931141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:51.672149Z","title":"Consensus control for decentralized deep learning","venue":null,"work_id":"a713d532-0f18-4a0c-98f0-dab4cd57f19f","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.328938Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:44403a2e29eea223de875e2272695c83e01ede98e671412784beb20a1d02c416","observation_id":"7bdfc096-2a62-4c85-a2a7-9d3f43c96cec","resolution":{"observed_at":"2026-08-07T12:06:51.740167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:46.390057Z","title":"Gradient-based learning applied to document recognition","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.390057Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:d85120e67b7d2fb68a022bfc2f17b81824d2974efeb843c5bbbedbcffdf6c6ae","observation_id":"953d248d-9b2f-4269-8cf3-e3f5e7239dfe","resolution":{"observed_at":"2026-08-07T12:06:46.390057Z","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":"2026-08-07T12:06:51.501551Z","title":"G., Smola, A","venue":null,"work_id":"c5d2aefa-0716-4aa5-ac8d-3b0854398657","year":2014},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.466943Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:65c47f54010ca2cdd1e283512c73e1841a0a11e74fe8895952207032f5fa4fba","observation_id":"fb3aa876-30b6-4cd5-896d-bb3fb37c5b74","resolution":{"observed_at":"2026-08-07T12:06:51.574336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:51.342046Z","title":"Learning to collaborate in decentralized learning of personalized models","venue":null,"work_id":"659277eb-5f19-41d2-b15a-9a00f7fd745f","year":2022},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.540468Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:858c059376359de5cf0031c385c61d668f4acce92e19367efcbcb2efcfb18714","observation_id":"0375a01c-9dbe-4495-a0a2-ab3b191fbf99","resolution":{"observed_at":"2026-08-07T12:06:51.423034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.09126","last_updated":"2021-04-05T12:06:57Z","snapshot_observed_at":"2026-08-01T15:59:12.234371Z","submitted_at":"2019-10-21T02:51:54Z","title":"Communication-Efficient Local Decentralized SGD Methods","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.09126","snapshot_observed_at":"2026-08-07T12:06:46.602371Z","title":"Communication-efficient local decentralized sgd methods","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.602371Z"},"links":{"cited_paper":"/paper/1910.09126","citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:b1e540b0bf8b27f854346f4facced3f70cea19879530b96f43147aae2d7bd240","observation_id":"00e9ce7a-5ce6-48ba-9f3d-869d44f47aa4","resolution":{"observed_at":"2026-08-07T12:06:46.602371Z","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":"2026-08-07T12:06:51.211708Z","title":"Can decentralized algorithms outperform centralized algorithms? a case study for decentralized parallel stochastic gradient descent","venue":null,"work_id":"6acc71d1-7d91-4f52-bd7a-3187f4dee5cb","year":2017},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.716685Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:edb5d21f2c1791313f0fd63d9b72e6c4fb18a4cd3260424fb599860974cc37c0","observation_id":"43a80630-5cca-47cb-a36f-91e20de154a9","resolution":{"observed_at":"2026-08-07T12:06:51.284674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:51.050371Z","title":"and De Sa, C","venue":null,"work_id":"3a219e1f-3e07-43f2-8e73-b5f1a75dca0b","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.822618Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:cb1d65bd12a2441a862d962c758972d16561fe97be5eb384c7ea3eda6adb72bc","observation_id":"43b30773-9b5f-4834-8897-7333f0ba46c9","resolution":{"observed_at":"2026-08-07T12:06:51.119240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:46.911340Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:46.911340Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:df43678db3294995fa94bd41cc832d75acacee46a654547c54cf0736aa9cf9ee","observation_id":"271f884e-015c-4742-a5b5-4dcb0cd430fd","resolution":{"observed_at":"2026-08-07T12:06:46.911340Z","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":"2026-08-07T12:06:50.828389Z","title":"and Ozdaglar, A","venue":null,"work_id":"5644be88-5ec1-426f-874c-bd77dbd148da","year":2009},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.008434Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:fb1591f1d566b3839b9918c8f9afde740bae6fd7eff24ffd69b0dcc5e83c137a","observation_id":"d8cd55f3-8e88-4773-970e-c174e427c0fc","resolution":{"observed_at":"2026-08-07T12:06:50.934903Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:47.103365Z","title":"Achieving geometric convergence for distributed optimization over time-varying graphs","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.103365Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:b1204aee005e0f99c52c1be0c30df0348d648b7a18d6c15d107260c6d246190b","observation_id":"98c8148e-c215-44a3-b55e-ac807cd6507b","resolution":{"observed_at":"2026-08-07T12:06:47.103365Z","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":"2026-08-07T12:06:50.596811Z","title":"Robust stochastic approximation approach to stochastic programming","venue":null,"work_id":"ba7efed0-6584-4830-bbb7-f81254ca0f2c","year":2009},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.196331Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:2f696001c9ae1497f6640e6b0fb77bf14e5ba8bb376263dfc7b5819af0ea1702","observation_id":"da9603b4-27a9-48b7-9d66-4d0c12026217","resolution":{"observed_at":"2026-08-07T12:06:50.714444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:50.408636Z","title":null,"venue":null,"work_id":"2be0c4c6-62b2-49b3-a421-88954cbe00d3","year":1983},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.276658Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:1af03f679d41e1f687587d74478572a5132e709b2bb7c5e02f919d6fc10db11b","observation_id":"3ca6da69-d696-4194-9206-13e93190c1a7","resolution":{"observed_at":"2026-08-07T12:06:50.495656Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:50.205047Z","title":"and Nedi \\'c , A","venue":null,"work_id":"61b7cf7e-29cf-4570-9454-6408a6938d19","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.357751Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:af21778979cd8a41500bec1bb2fc4a21bd5e8a8b6cba0ead5af14377f7b24fd1","observation_id":"77998fd5-dcc8-43f8-8e71-4648d62d2d6c","resolution":{"observed_at":"2026-08-07T12:06:50.323116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.998528Z","title":null,"venue":null,"work_id":"4e9c483c-c235-498f-a2a0-3bf100c4d20a","year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.409784Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:24e14cc914758c1659ded29f579ac85f8aef6ff252df732e0ce429edfe233dd3","observation_id":"f571b6d0-9c63-41da-884d-912755fba317","resolution":{"observed_at":"2026-08-07T12:06:50.083583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.819923Z","title":"On the linear convergence of the admm in decentralized consensus optimization","venue":null,"work_id":"f37de0c9-5494-48f2-8c03-e0ab90ecef47","year":2014},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.538366Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:096d2d53a6055bddeb5a4e5407be588a4e04dd99ccd644bdae370ed319bb1727","observation_id":"d5c2441e-b41a-4f99-b2db-e44961299e69","resolution":{"observed_at":"2026-08-07T12:06:49.907540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.626629Z","title":"Beyond exponential graph: Communication-efficient topologies for decentralized learning via finite-time convergence","venue":null,"work_id":"88d3c8c7-dbe1-46ae-9c4a-fb3fccbe8729","year":2023},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.636129Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:fce3be29fb1fdb9bcd362b41b6531ac4282352904522f8edce5de5511daf02f4","observation_id":"4734c34c-f1c0-4157-899d-5a4989774a53","resolution":{"observed_at":"2026-08-07T12:06:49.718645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.447300Z","title":"Communication compression for decentralized training","venue":null,"work_id":"f565ff23-285b-411a-90bb-6004d7641cf8","year":2018},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.744656Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:f2c3484f93bdaf7cd209c9fc7a6ca5a96f9c29dace25d4e765270a79e549224b","observation_id":"1a97ed16-d00f-48fe-80b9-fea149b60e3b","resolution":{"observed_at":"2026-08-07T12:06:49.537611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.268083Z","title":"D^2 : Decentralized training over decentralized data","venue":null,"work_id":"6d1712cb-ed00-4970-98c6-6f4c3246c578","year":2018},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.849469Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:8e4dd13c8530b630a87265e7b0dc69119ac8f7bfaa50bd2a9358e1a84a82aae7","observation_id":"2ebe44f1-bf8f-4fea-9286-9b534f06fd47","resolution":{"observed_at":"2026-08-07T12:06:49.352639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:49.077171Z","title":null,"venue":null,"work_id":"10f90e34-f7d7-4acd-836b-daecd99b25bc","year":1984},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:47.976731Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:03aa21d329b03a0b67d0d5154ed61cf690372b5e4361827ccd8c061ecba3e869","observation_id":"29c750ec-6bc5-4353-b04a-6a4fcf1abbaa","resolution":{"observed_at":"2026-08-07T12:06:49.182235Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:48.855452Z","title":null,"venue":null,"work_id":"a324c44f-c163-4bc2-9279-51b6cd3816a1","year":2020},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:48.061777Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:e7a90b3065e4d287b57dcaade79d72873a7958d157d4c15e73c4e34ddc06f9b5","observation_id":"982cf005-8f4a-48f7-b8fb-02e858277ee0","resolution":{"observed_at":"2026-08-07T12:06:48.970542Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.07747","last_updated":"2017-09-15T21:29:49Z","snapshot_observed_at":"2026-07-06T05:56:41.814255Z","submitted_at":"2017-08-25T14:01:29Z","title":"Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.07747","snapshot_observed_at":"2026-08-07T12:06:48.142565Z","title":"Fashion-mnist: a novel image dataset for benchmarking machine learning algorithms","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:48.142565Z"},"links":{"cited_paper":"/paper/1708.07747","citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:e84036bb9988b1c4d8ac117862eec6afb2d95437c8659157cf045a9248a43851","observation_id":"e78d1199-a663-40fd-8e1c-cd557f87b684","resolution":{"observed_at":"2026-08-07T12:06:48.142565Z","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":"2026-08-07T12:06:48.595667Z","title":"and Boyd, S","venue":null,"work_id":"7416c0aa-ff33-4395-9897-3186c585af04","year":2004},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:48.219392Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:9805dfe90b6d816ea39e02a709b0595b524a9c78e7104b9076771029ce0cf1d5","observation_id":"95841ed1-f8e1-412a-9f63-d7b5f5f84e4d","resolution":{"observed_at":"2026-08-07T12:06:48.720532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:06:48.345660Z","title":"Exponential graph is provably efficient for decentralized deep training","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:48.345660Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:a4121db0e4d4a1499d987b8efba90232fd2a7f9983cc45aebde113d79b1c80a0","observation_id":"415ed5bf-2785-4e34-b2f5-7e22d1bee429","resolution":{"observed_at":"2026-08-07T12:06:48.345660Z","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":"2026-08-07T12:06:48.451980Z","title":"Decentlam: Decentralized momentum sgd for large-batch deep training","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-07T12:06:48.451980Z"},"links":{"citing_paper":"/paper/2506.00961"},"observation_digest":"sha256:49eccd558cfcbefdb683ad0de11ac4d3eae032c8822e02710c83c46bc13cf5bf","observation_id":"59c21379-de65-4677-a667-16164a5841b6","resolution":{"observed_at":"2026-08-07T12:06:48.451980Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.00961","last_updated":"2025-06-01T11:17:32Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T11:51:41.788333Z","submitted_at":"2025-06-01T11:17:32Z","title":"Enhancing Parallelism in Decentralized Stochastic Convex Optimization"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":25},"total_outbound_references":44},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2506.00961."}