{"as_of":"2026-08-06T00:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:829253a118920fae040ef6c0650e87bee28e7011cb88f3cfe0a3e5e90078da56","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T16:45:47.618845Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T23:59:07.498348Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-08-03T10:09:36.559438Z","title":"Davtyan, A., Sameni, S., Cerkezi, L., Meishvili, G., Bielski, A., and Favaro, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2601.12238","last_updated":"2026-07-24T03:23:33Z","snapshot_observed_at":"2026-08-03T10:09:34.130928Z","submitted_at":"2026-01-18T03:27:21Z","title":"On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization","version":5},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-03T10:09:36.559438Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2601.12238"},"observation_digest":"sha256:11176ee3a73f0a199463393fc4785d8dab8e600d3356fd6f69e249b6d652a405","observation_id":"dcc972a9-1406-4437-b55f-9e9ec43ed41d","resolution":{"observed_at":"2026-08-03T10:09:36.559438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2604.14108","last_updated":"2026-04-15T17:28:46Z","snapshot_observed_at":"2026-07-06T23:02:00.082783Z","submitted_at":"2026-04-15T17:28:46Z","title":"Momentum Further Constrains Sharpness at the Edge of Stochastic Stability","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-10T13:12:58.210967Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2604.14108"},"observation_digest":"sha256:6e0937dfbb1c8a52b46c1568f220bc39d977a6d278e704dc4ed6d6a6344dbf2e","observation_id":"ab9dec1f-51ed-440b-80bc-3b2368602c0b","resolution":{"observed_at":"2026-05-10T13:20:26.364616Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2604.18223","last_updated":"2026-04-20T13:09:13Z","snapshot_observed_at":"2026-07-06T23:05:08.728446Z","submitted_at":"2026-04-20T13:09:13Z","title":"Instruction-as-State: Environment-Guided and State-Conditioned Semantic Understanding for Embodied Navigation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-10T04:45:08.445621Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2604.18223"},"observation_digest":"sha256:cc05e5da9c5bb2797bd8c2e60ae60e6281ae59631cb627ce1182300073764d37","observation_id":"7e0f4f55-9409-408c-9564-0360d1d08334","resolution":{"observed_at":"2026-05-10T11:40:20.127744Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2604.19064","last_updated":"2026-04-21T04:17:35Z","snapshot_observed_at":"2026-07-06T23:05:48.885141Z","submitted_at":"2026-04-21T04:17:35Z","title":"The Essence of Balance for Self-Improving Agents in Vision-and-Language Navigation","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-10T03:07:49.043189Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2604.19064"},"observation_digest":"sha256:7987e5ab9141e6c02c07b781d6147891eead9a131ee46a1bd848b8cafe1fde54","observation_id":"9d968a69-2c4f-4398-8f82-08958077496f","resolution":{"observed_at":"2026-05-10T03:08:59.117229Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2605.18609","last_updated":"2026-05-18T16:18:59Z","snapshot_observed_at":"2026-07-06T23:29:29.105126Z","submitted_at":"2026-05-18T16:18:59Z","title":"Perfect Parallelization in Mini-Batch SGD with Classical Momentum Acceleration","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-20T12:24:46.400488Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2605.18609"},"observation_digest":"sha256:5ca046fa6c4fb2d8c6ffac2f14837ff84fca37a5d1a5744e69321f9368ce3735","observation_id":"124bb5e0-cf99-49b7-9906-d301747559cf","resolution":{"observed_at":"2026-05-20T12:28:17.165028Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2606.17526","last_updated":"2026-06-16T05:10:29Z","snapshot_observed_at":"2026-07-06T23:53:07.149182Z","submitted_at":"2026-06-16T05:10:29Z","title":"MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T01:31:53.550342Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2606.17526"},"observation_digest":"sha256:142f69638b06d6b7f921e233c31f24eecd86b770e2b3e8ab4c84d44bcb4d5727","observation_id":"5f9f1047-9536-4fd9-9e48-4c2f6bbaeabb","resolution":{"observed_at":"2026-07-03T20:18:56.230780Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":"2306.09000","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-07-03T23:59:07.498348Z","title":"When and why momentum accelerates sgd: An empirical study","venue":null,"work_id":"2dd0fa29-9a2b-4029-92f0-57de64c1a612","year":2023},"citing_paper":{"arxiv_id":"2606.19179","last_updated":"2026-06-17T15:19:20Z","snapshot_observed_at":"2026-08-02T17:17:56.626421Z","submitted_at":"2026-06-17T15:19:20Z","title":"Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T21:31:49.871520Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2606.19179"},"observation_digest":"sha256:a209a27111465c3f754afa5d4fc282468a83c45656be139c0c4a5445e0389e87","observation_id":"90821833-508f-4612-a51a-5ff29c9bd3b1","resolution":{"observed_at":"2026-07-03T23:59:07.501487Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09000","snapshot_observed_at":"2026-08-03T16:45:47.618845Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.28947","last_updated":"2026-07-31T02:05:45Z","snapshot_observed_at":"2026-08-05T23:12:09.617852Z","submitted_at":"2026-07-31T02:05:45Z","title":"Overcoming the Weakest-Link Effect in LLM-Driven Program Optimization via Heterogeneous Edit Recombination","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T16:45:47.618845Z"},"links":{"cited_paper":"/paper/2306.09000","citing_paper":"/paper/2607.28947"},"observation_digest":"sha256:7f75ad98d56582fd429c927bfbaf0602162362bdfe7040c188d916782a5f75bc","observation_id":"8fcfadae-ece0-4e3a-bde6-d67f3b3ec461","resolution":{"observed_at":"2026-08-03T16:45:47.618845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2306.09000/citation-record","integrity":"/paper/2306.09000/integrity","json":"/paper/2306.09000/citation-record.json","paper":"/paper/2306.09000"},"outbound":[],"paper":{"arxiv_id":"2306.09000","last_updated":"2023-06-15T09:54:21Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T15:42:52.549767Z","submitted_at":"2023-06-15T09:54:21Z","title":"When and Why Momentum Accelerates SGD:An Empirical Study"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2306.09000."}