{"as_of":"2026-08-12T22:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f306a063cf45f209d47ae65acd546742d93463adde59ccddec2388f73448c879","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T04:34:47.176117Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T19:32:24.836561Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.06512","snapshot_observed_at":"2026-07-30T19:32:24.836561Z","title":"[HJ26] Lucien Hennecart and Shivang Jindal.Degenerations of CoHAs of 2- Calabi-Yau categories","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23544","last_updated":"2026-07-26T08:49:51Z","snapshot_observed_at":"2026-08-09T11:40:39.697797Z","submitted_at":"2026-07-26T08:49:51Z","title":"The loop-nilpotent cohomological Hall algebra","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-30T19:32:24.836561Z"},"links":{"cited_paper":"/paper/2607.06512","citing_paper":"/paper/2607.23544"},"observation_digest":"sha256:430703bc47b9c12010075bd3a1d2b46461667f1b6163787e62e3a154f0e73cdd","observation_id":"a5ff4743-60dc-4977-b027-236588be3d39","resolution":{"observed_at":"2026-07-30T19:32:24.836561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.06512/citation-record","integrity":"/paper/2607.06512/integrity","json":"/paper/2607.06512/citation-record.json","paper":"/paper/2607.06512"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:34:47.028203Z","title":"Commuting varieties of semisimple Lie algebras and alge- braic groups","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T04:34:47.028203Z"},"links":{"citing_paper":"/paper/2607.06512"},"observation_digest":"sha256:7f5a561cd9707c97217bfa33d2b80440738e3586ffa9475c0009ea7e3560b398","observation_id":"03498123-b6ab-46db-940c-732474809576","resolution":{"observed_at":"2026-08-04T04:34:47.028203Z","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":"2026-08-04T04:34:47.176117Z","title":"On two cohomological Hall algebras","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$","version":2},"reference_index":1074,"source":"pdf_text","source_observed_at":"2026-08-04T04:34:47.176117Z"},"links":{"citing_paper":"/paper/2607.06512"},"observation_digest":"sha256:0108966f041f7c4d49c6acc846e923614e144fd197a88ffc62165dc487d08e39","observation_id":"4527dfb0-1d1e-4e41-8da3-d0e46e576bbf","resolution":{"observed_at":"2026-08-04T04:34:47.176117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.01355","last_updated":"2026-07-01T18:14:06Z","snapshot_observed_at":"2026-08-12T14:51:36.472257Z","submitted_at":"2026-07-01T18:14:06Z","title":"Hecke operators on symplectic surfaces and $\\chi$-independence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.01355","snapshot_observed_at":"2026-08-04T04:34:46.789946Z","title":"On the number of points of nilpotent quiver varieties over finite fields","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$","version":2},"reference_index":1975,"source":"pdf_text","source_observed_at":"2026-08-04T04:34:46.789946Z"},"links":{"cited_paper":"/paper/2607.01355","citing_paper":"/paper/2607.06512"},"observation_digest":"sha256:67d1682796d943ad61c76a6c02eb45359ca9f7f498a0bef26938a19623456248","observation_id":"23bf7cbe-2f34-4256-8777-c5df5b421b5a","resolution":{"observed_at":"2026-08-04T04:34:46.789946Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.13415","last_updated":"2026-05-25T10:29:18Z","snapshot_observed_at":"2026-08-07T18:55:35.470624Z","submitted_at":"2023-11-22T14:25:26Z","title":"Coherent sheaves on surfaces, COHAs and deformed $W_{1+\\infty}$-algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.13415","snapshot_observed_at":"2026-08-04T04:34:46.875813Z","title":"Coher- ent sheaves on surfaces, COHAs and deformed W1+∞-algebras","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$","version":2},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-04T04:34:46.875813Z"},"links":{"cited_paper":"/paper/2311.13415","citing_paper":"/paper/2607.06512"},"observation_digest":"sha256:7ca3dbd71b6265bb763e763260da7d2c269c1261a79841c363d6c59001ebdea3","observation_id":"70a30822-2083-46ba-a8ba-5cc732dab5e4","resolution":{"observed_at":"2026-08-04T04:34:46.875813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.06512","last_updated":"2026-08-03T06:35:00Z","latest_version":2,"primary_category":"math.RT","snapshot_observed_at":"2026-08-07T21:01:11.504649Z","submitted_at":"2026-07-07T17:16:41Z","title":"Commutativity of nilpotent cohomological Hall algebras of $\\mathbf{A}^2$"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":4},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2607.06512."}