{"as_of":"2026-08-10T12:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c51b7dc13354abd0ab5bfa49053289e5d3d3c58e2f01124b0f2b49c14b42eac1","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T12:46:30.624923Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2509.01329/citation-record","integrity":"/paper/2509.01329/integrity","json":"/paper/2509.01329/citation-record.json","paper":"/paper/2509.01329"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1902.04811","last_updated":"2019-09-04T03:26:59Z","snapshot_observed_at":"2026-07-06T07:32:49.581638Z","submitted_at":"2019-02-13T09:44:02Z","title":"On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.04811","snapshot_observed_at":"2026-08-05T12:46:30.602557Z","title":"Keller Jordan, Yuchen Jin, Vlado Boza, Jiacheng You, Franz Cesista, Laker Newhouse, and Jeremy Bernstein","venue":null,"work_id":null,"year":1902},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.602557Z"},"links":{"cited_paper":"/paper/1902.04811","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:02cf0342a78207fb777bef1b9ce42a98bcc336c3dc376b6f8f308c916cf5300d","observation_id":"251df33f-3283-40a0-903c-faf888aaccea","resolution":{"observed_at":"2026-08-05T12:46:30.602557Z","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":"2026-08-05T12:46:30.610568Z","title":"doi: 10.1002/prop","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.610568Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:d9e05dc706dc7b806d6c055d328dd8686269a4efc6a4f26eac4ccdefb1de1e73","observation_id":"64c12028-5337-4d18-9ff7-e67819c8eb34","resolution":{"observed_at":"2026-08-05T12:46:30.610568Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:46:30.620799Z","title":"Jean ´Ecalle","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.620799Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:ca9ef9e9d5137457c048c02ddd87f02ff133badca7b783a27704898c75b6189f","observation_id":"1a8fc56e-d83e-4b1d-9ec5-04e549da8c4a","resolution":{"observed_at":"2026-08-05T12:46:30.620799Z","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":"2026-08-05T12:46:30.614261Z","title":"URL https: //doi.org/10.1214/aoms/1177729586","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":1951,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.614261Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:518d53fa41df8171120927d6ab41025c81c4fde00240d0ecc6444d52c17a59b5","observation_id":"3ce45853-6847-4299-89b6-4381f01b8d20","resolution":{"observed_at":"2026-08-05T12:46:30.614261Z","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":"2026-08-05T12:46:31.028763Z","title":null,"venue":null,"work_id":"15fcbeed-643d-422a-9616-0345c0c5845a","year":1991},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":1981,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.624923Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:ecc16475a25d5d21930376bfd508679c5979fcf85abc42e17fa94d8a2ac4baee","observation_id":"676a178b-4b6c-4367-8994-ccf2de291ae9","resolution":{"observed_at":"2026-08-05T12:46:31.033179Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1991.0119","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:46:31.013528Z","title":"URL https://royalsocietypublishing.org/ doi/abs/10.1098/rspa.1991.0119","venue":null,"work_id":"46b0c71e-552e-4241-baf1-a7ca36ff9b55","year":1991},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":1991,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.577418Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:5ded0cd637bebc0c0b9dd2b1aa099c1455fa7f72e77cf14663f788a41057ae18","observation_id":"3d47331c-065e-4dc8-9f27-dc6db5d21891","resolution":{"observed_at":"2026-08-05T12:46:31.018922Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.2572","last_updated":"2014-06-10T14:52:14Z","snapshot_observed_at":"2026-07-06T03:45:59.079055Z","submitted_at":"2014-06-10T14:52:14Z","title":"Identifying and attacking the saddle point problem in high-dimensional non-convex optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.2572","snapshot_observed_at":"2026-08-05T12:46:30.585622Z","title":"Soham De, Anirbit Mukherjee, and Enayat Ullah","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.585622Z"},"links":{"cited_paper":"/paper/1406.2572","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:d15ffe966bae71b52217f40763b4b7db1e761296dae4d62f3c71b0d6c95be10d","observation_id":"3005f81b-d3da-47f7-962c-7470ea997c34","resolution":{"observed_at":"2026-08-05T12:46:30.585622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-05T12:46:30.607093Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.607093Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:fb2f9cb8ac11cc645b8422ec5d8b36e69e7466a494a972daef08232497633660","observation_id":"9ef95adb-2c78-4f9d-b080-031e35b7786b","resolution":{"observed_at":"2026-08-05T12:46:30.607093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06766","last_updated":"2018-11-20T21:57:15Z","snapshot_observed_at":"2026-08-10T10:10:29.622015Z","submitted_at":"2018-07-18T03:58:02Z","title":"Convergence guarantees for RMSProp and ADAM in non-convex optimization and an empirical comparison to Nesterov acceleration","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.06766","snapshot_observed_at":"2026-08-05T12:46:30.589494Z","title":"Eric Delabaere and Fr´ed´eric Pham","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.589494Z"},"links":{"cited_paper":"/paper/1807.06766","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:b1bf1347c5ebd77a72321b462a3a8127dd7884d7f7cb273074b6b1fde08bbc79","observation_id":"eefaf34f-612d-4316-88c4-b2dc6f3be69e","resolution":{"observed_at":"2026-08-05T12:46:30.589494Z","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":"2019.16791","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:46:30.897188Z","title":"Accessible survey for physicists covering resurgent analysis and alien calculus","venue":null,"work_id":"5dc51ac2-8c49-430d-b63b-c01ff63c111e","year":2019},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.593538Z"},"links":{"citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:c31350c202285ad09621f004e9f688c68b15d30c5999ab780e0edb259dfff746","observation_id":"2de9a233-ac21-4eac-9320-a2779531b128","resolution":{"observed_at":"2026-08-05T12:46:30.903145Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12317","last_updated":"2023-10-18T20:41:22Z","snapshot_observed_at":"2026-08-02T15:08:23.022666Z","submitted_at":"2023-10-18T20:41:22Z","title":"Going to the Other Side via the Resurgent Bridge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12317","snapshot_observed_at":"2026-08-05T12:46:30.581539Z","title":"Yann Dauphin, Razvan Pascanu, Caglar Gulcehre, Kyunghyun Cho, Surya Ganguli, and Yoshua Bengio","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.581539Z"},"links":{"cited_paper":"/paper/2310.12317","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:c5c723ad3299c458ebd3a87000661dc500a725e8a0048b72afe46d85dcce117a","observation_id":"2e55a5ec-a87c-4ada-8e98-4d04dff103e8","resolution":{"observed_at":"2026-08-05T12:46:30.581539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02017","last_updated":"2024-10-02T20:34:33Z","snapshot_observed_at":"2026-08-08T14:59:23.163732Z","submitted_at":"2024-10-02T20:34:33Z","title":"Review Non-convex Optimization Method for Machine Learning","version":1},"cited_work":{"arxiv_id":"2410.02017","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.02017","snapshot_observed_at":"2026-08-05T12:46:30.823249Z","title":"Review Non-convex Optimization Method for Machine Learning","venue":"cs.LG","work_id":"d6944e35-0f88-49bc-a5f7-0c5451a947ad","year":2024},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.597772Z"},"links":{"cited_paper":"/paper/2410.02017","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:5b3ceeecb2e809b43b3792d9a57f665184f974c999f3080c1774142fa722231c","observation_id":"efa20213-25ce-43fa-bf47-bd3af6ad594d","resolution":{"observed_at":"2026-08-05T12:46:30.829560Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23737","last_updated":"2026-07-28T01:40:23Z","snapshot_observed_at":"2026-08-07T12:36:23.369583Z","submitted_at":"2025-05-29T17:58:01Z","title":"On the Convergence Analysis of Muon","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.23737","snapshot_observed_at":"2026-08-05T12:46:30.617307Z","title":"12 Manzil Zaheer, Sashank Reddi, Devendra Sachan, Satyen Kale, and Sanjiv Kumar","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-05T12:46:30.617307Z"},"links":{"cited_paper":"/paper/2505.23737","citing_paper":"/paper/2509.01329"},"observation_digest":"sha256:75156e1315ca5894d1a4b32e84a30e11d421f9ea2ed1054340dd2ec3cdc645d9","observation_id":"dbd2a630-29ab-414b-aea0-edbe8bc0bae8","resolution":{"observed_at":"2026-08-05T12:46:30.617307Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.01329","last_updated":"2025-09-01T10:12:13Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T12:36:10.985447Z","submitted_at":"2025-09-01T10:12:13Z","title":"Globally aware optimization with resurgence"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":1,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":13},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2509.01329."}