{"as_of":"2026-08-15T23:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6926898d381a787a30c9686c4fa78990acf850c42171216730b9f377734a527b","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T14:49:18.050367Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2605.05070/citation-record","integrity":"/paper/2605.05070/integrity","json":"/paper/2605.05070/citation-record.json","paper":"/paper/2605.05070"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T14:49:16.014185Z","title":"Cambridge Molecular Science","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.014185Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:6bef0bcb5449d5f0f85e7fe66fc99168b66c8ca65bc73b89ebd64eaa410aa0c7","observation_id":"377d00ce-2eaa-4540-9cff-e3d5a9e86ef6","resolution":{"observed_at":"2026-08-02T14:49:16.014185Z","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":"2026-08-02T14:49:16.104717Z","title":"Oxford University Press, Inc., USA (2009)","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.104717Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:36cb081e6a9547f54acd07e59f8785388946ddc4602082e0bfb9862db12ea301","observation_id":"ffe620c0-4c91-4de7-8ad8-d906eedf2e4d","resolution":{"observed_at":"2026-08-02T14:49:16.104717Z","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":"2026-08-02T14:49:16.243131Z","title":"John Wiley & Sons, Wein heim, Germany (2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.243131Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:27214014e92f630626bf18fdca367783c09514949e110ecc374f8afb95c1aa5b","observation_id":"32c46f01-5a59-4053-b0a6-78918a97eb4f","resolution":{"observed_at":"2026-08-02T14:49:16.243131Z","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":"2026-08-02T14:49:16.356938Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence 23(11), 1222–1239 (2001) https://doi.org/10.1109/34.969114","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.356938Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:aeb5728b14a30ad6260c728de33726422c003dd6686ac3866471dd7b0f3e7583","observation_id":"f3654f3a-f1f7-415e-930d-fcc186cdcdca","resolution":{"observed_at":"2026-08-02T14:49:16.356938Z","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":"2026-08-02T14:49:16.488766Z","title":"IEEE Transactions on Pattern Analysis and Machine Intelligence 28(10), 1568–1583 (2006) https://doi.org/10.1109/TPAMI.2006.200","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.488766Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:d69a7579b33c3c1274c18e983f6ae84ef3c10259faa059862549bf148f3d3284","observation_id":"ddb06aee-fcf6-4562-af4d-4bc50a6c3aca","resolution":{"observed_at":"2026-08-02T14:49:16.488766Z","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":"2026-08-02T14:49:16.640603Z","title":"ACM Trans","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.640603Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:99a80cd1b4d453e36e03927c92a76dfc6faf4b716e3e558ebde7038fd6c03996","observation_id":"954b0b3d-c118-4a79-a6c7-88fde13b88f5","resolution":{"observed_at":"2026-08-02T14:49:16.640603Z","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":"2026-08-02T14:49:16.815335Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.815335Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:16882519765a932a4df56114659141620faa3aff2551850b6c0e1fdcd7da4d6e","observation_id":"a0b2aaf9-8df3-47ec-9c07-8fb649cfa5bc","resolution":{"observed_at":"2026-08-02T14:49:16.815335Z","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":"2026-08-02T14:49:16.959553Z","title":"C am- bridge University Press, UK (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:16.959553Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:e5227dcbeb215315e2fa3716d897040fc37eaab1b9c3f4fac260e30316e0be77","observation_id":"eb9f0a7b-8baf-4e42-9d98-a2b7582ed8bc","resolution":{"observed_at":"2026-08-02T14:49:16.959553Z","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":"2026-08-02T14:49:17.092384Z","title":"IMA Journal of Numerical Analysis 39(1), 1–33 (2018) https://doi.org/10.1093/imanum/drx080 11","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.092384Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:68122cc5f9118b337f885c81c1ee404bf7aebfdb1f292c923bb15322f4f2a1d9","observation_id":"b356abb4-f197-4b97-87dd-33cbbea37af3","resolution":{"observed_at":"2026-08-02T14:49:17.092384Z","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":"2026-08-02T14:49:17.203523Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.203523Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:e3c428b17c694995537b78809ffbd3b9258538e663e624f915ae5749d630258f","observation_id":"7903209e-069a-4bb5-a980-fd4ebceef3ff","resolution":{"observed_at":"2026-08-02T14:49:17.203523Z","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":"2026-08-02T14:49:17.348632Z","title":"Society for Industrial and Applied Mathematics, USA (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.348632Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:b2a1274c2c7bf688608d8a1637962d135badc7ac202c74ebdf97aa570deb9d3b","observation_id":"82211274-21a5-4ccb-98a8-ef4635db689c","resolution":{"observed_at":"2026-08-02T14:49:17.348632Z","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":"2026-08-02T14:49:17.503396Z","title":"The Journal o f Physical Chemistry A 101 (1998) https://doi.org/10.1021/jp970984n","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.503396Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:658a78fe3e0c8dda2b3d9d4a68803f7f0e03b8eae2adb4c520ce46e0255f7b5d","observation_id":"002b90bc-bc3c-41e5-8a79-64f02f491235","resolution":{"observed_at":"2026-08-02T14:49:17.503396Z","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":"2026-08-02T14:49:17.617031Z","title":"Optimization Methods and Software 27(6), 983–1000 (2012) https://doi.org/10.1080/10556788.2011.577773","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.617031Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:f96d1231614ba1fe19b5f9187f680db61013b6ce0bb9bb8f942d205294e56fc0","observation_id":"f8aab236-35ee-4e01-9219-75024d2fbba0","resolution":{"observed_at":"2026-08-02T14:49:17.617031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1603.03236","last_updated":"2016-09-08T09:23:08Z","snapshot_observed_at":"2026-08-14T22:06:39.727343Z","submitted_at":"2016-03-10T12:23:12Z","title":"Pymanopt: A Python Toolbox for Optimization on Manifolds using Automatic Differentiation","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1603.03236","snapshot_observed_at":"2026-08-02T14:49:17.777270Z","title":"Journal of Machine Learning R esearch 17(137), 1–5 (2016) https://doi.org/10.48550/arXiv.1603.03236","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.777270Z"},"links":{"cited_paper":"/paper/1603.03236","citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:864ba334fbcec741aec0aafe8ad0d7ea5c068ea0acb43226f36909613d5c8d41","observation_id":"d90ac435-cb49-4150-be1e-484e46755abc","resolution":{"observed_at":"2026-08-02T14:49:17.777270Z","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":"2026-08-02T14:49:17.924595Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:17.924595Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:f3afa9505e63ba156b91adc9023d262612fec1136d8c7b6ccd97441cae691712","observation_id":"cf092419-65e5-483f-a4d9-d8c77eb563d2","resolution":{"observed_at":"2026-08-02T14:49:17.924595Z","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":"2026-08-02T14:49:18.050367Z","title":"Foundations of Computational Mathematics 7(3), 303–330 (2007) https://doi.org/10.1007/s10208-005-0179-9 12","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T14:49:18.050367Z"},"links":{"citing_paper":"/paper/2605.05070"},"observation_digest":"sha256:92ea031cea23200ab1a596a303a4c7c598443207ca3ddd58a854a5978dc2c774","observation_id":"fa027def-ebde-465a-b99a-09fa9645e108","resolution":{"observed_at":"2026-08-02T14:49:18.050367Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.05070","last_updated":"2026-07-24T13:26:01Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-02T14:49:14.666676Z","submitted_at":"2026-05-06T16:06:41Z","title":"Nonconvex optimization methods for ground states in disordered continuous-spin models"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":16},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2605.05070."}