{"as_of":"2026-08-22T11:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a1a9e49c6d82665d52dbb73f5b713841f36816748fa31560e4780122a94844e2","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T20:20:47.712255Z","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":"2026-08-22T06:32:14.747728+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/2412.05927/citation-record","integrity":"/paper/2412.05927/integrity","json":"/paper/2412.05927/citation-record.json","paper":"/paper/2412.05927"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2308.06104","last_updated":"2024-09-10T07:46:15Z","snapshot_observed_at":"2026-08-19T06:56:54.957982Z","submitted_at":"2023-08-11T12:30:47Z","title":"Morse homology with DG coefficients","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.06104","snapshot_observed_at":"2026-08-11T20:20:47.682716Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.682716Z"},"links":{"cited_paper":"/paper/2308.06104","citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:2102ca1ffe2a5e5edd489e372659884b190a6600c6e1e4a1259b2a3e539a0850","observation_id":"3adacaa7-cda0-41be-818e-1057b15c8eaf","resolution":{"observed_at":"2026-08-11T20:20:47.682716Z","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":"2026-08-11T20:20:47.894552Z","title":"3, 1231–1264","venue":null,"work_id":"b7c1f47b-9dbf-47a3-9682-95ae57601ac0","year":1983},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.708515Z"},"links":{"citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:c1f0a4893b22daeb8d3680df4bf73907321b84606f0e0ef4519017176680df6b","observation_id":"c78c4bc4-9c10-4811-bf14-1d41c9665fdc","resolution":{"observed_at":"2026-08-11T20:20:47.898123Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-11T20:20:47.905478Z","title":"Lunts,Categorical resolution of singularities, Journal of Algebra323(2010), no","venue":null,"work_id":"10b04d9f-e1b4-47dd-9b3c-437d5d57303b","year":2010},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":1942,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.704507Z"},"links":{"citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:676145c6ea2726369d74600fee50c249a660869b99c98b7be01e5b3fb850858c","observation_id":"33ae022f-2fb7-443b-b876-8fd7c98943e9","resolution":{"observed_at":"2026-08-11T20:20:47.910006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/topo.12361","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:20:47.739163Z","title":"[BJK] Hanwool Bae, Wonbo Jeong, and Jongmyeong Kim,Calabi–yau structures on rabinowitz fukaya categories, Journal of Topology17(2024), no","venue":null,"work_id":"5d2dcdf9-4497-4495-81fa-61d653a08da7","year":2024},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":1991,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.687078Z"},"links":{"citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:c1af6079436d7a8719946ddc505580e94abd6ff6cdb489a2e09c9043b5eff74a","observation_id":"95d6e98f-8ee9-4426-96c2-f96969a3a495","resolution":{"observed_at":"2026-08-11T20:20:47.744469Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1810.07119","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T20:20:47.831930Z","title":"VI, 2018.https://arxiv.org/ pdf/1810.07119.pdf","venue":null,"work_id":"396c312a-a0d1-4bd1-b538-69c5fc4239f1","year":2016},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.712255Z"},"links":{"citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:00177a7b8c3aeb266891d7e1ea817c396fc166ca076be273d41a3f10c956d7c9","observation_id":"79d0fe8f-b97e-4057-8b93-b417822eb356","resolution":{"observed_at":"2026-08-11T20:20:47.837833Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1304.7312","last_updated":"2013-04-27T01:34:43Z","snapshot_observed_at":"2026-08-18T03:40:50.602637Z","submitted_at":"2013-04-27T01:34:43Z","title":"Symplectic cohomology and duality for the wrapped Fukaya category","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.7312","snapshot_observed_at":"2026-08-11T20:20:47.699837Z","title":"Thesis, MIT.http://arXiv.org/abs/1304.7312","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":2012,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.699837Z"},"links":{"cited_paper":"/paper/1304.7312","citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:dfbd646cf4b333609b724bc8213506f1b250415e197d2bbc0ab55fc36aac7e3a","observation_id":"a8d01acc-ba4a-4a0c-9c49-002d91b5ad4f","resolution":{"observed_at":"2026-08-11T20:20:47.699837Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-18T11:32:21.822688Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.13161","snapshot_observed_at":"2026-08-11T20:20:47.691408Z","title":"[CL] Cheol-Hyun Cho and Sangwook Lee,Potentials of homotopy cyclic A-infinity algebras, Homology, Homotopy and Applications14(2012), no","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.691408Z"},"links":{"cited_paper":"/paper/2008.13161","citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:4750ce0d9f789efaac7e0ee517c1a68b3d03c219adb2a79874fbb5df2f19193f","observation_id":"5827f024-cfb9-4cc1-b200-39fa99ca4584","resolution":{"observed_at":"2026-08-11T20:20:47.691408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.00756","last_updated":"2017-11-02T14:22:35Z","snapshot_observed_at":"2026-08-18T11:33:44.956749Z","submitted_at":"2017-11-02T14:22:35Z","title":"Categorical formal punctured neighborhood of infinity, I","version":1},"cited_work":{"arxiv_id":"1711.00756","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.00756","snapshot_observed_at":"2026-08-11T20:20:47.860500Z","title":"Categorical formal punctured neighborhood of infinity, I","venue":"math.AG","work_id":"8b7e432b-f30f-49a4-bdf4-69c328280b85","year":2017},"citing_paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-11T20:20:47.695048Z"},"links":{"cited_paper":"/paper/1711.00756","citing_paper":"/paper/2412.05927"},"observation_digest":"sha256:2c0285d95081446ed75c7bc30845226ddc10944abfa1fc2ba776eae5b560d10f","observation_id":"ded32652-9fde-4125-ac77-04eb069ce176","resolution":{"observed_at":"2026-08-11T20:20:47.864795Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.05927","last_updated":"2025-06-02T09:56:39Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-18T11:33:04.328632Z","submitted_at":"2024-12-08T12:45:31Z","title":"Abstract categorical residues and Calabi-Yau structures"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":3,"verified_fuzzy":2},"total_outbound_references":8},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2412.05927."}