{"as_of":"2026-08-18T17:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e1bbbfff9accae2341339aea02a86be5f3602a8ef5c3f5875a4f20d4e19688b3","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:23:08.041424Z","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":"2026-08-18T06:34:40.430872+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/2506.03026/citation-record","integrity":"/paper/2506.03026/integrity","json":"/paper/2506.03026/citation-record.json","paper":"/paper/2506.03026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:23:08.493936Z","title":"Bruggesser and P","venue":null,"work_id":"84852d7f-8c0a-406d-af09-ac1cd8a08e87","year":1971},"citing_paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:23:07.756961Z"},"links":{"citing_paper":"/paper/2506.03026"},"observation_digest":"sha256:4a2cdfbf931ae1ace9cf83a8e451202f2bd502478d1380bbef4da11263431335","observation_id":"73b6664f-0036-40c2-9901-d049327317e6","resolution":{"observed_at":"2026-08-07T11:23:08.585186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T11:23:08.252369Z","title":"3, 635–644","venue":null,"work_id":"09de8270-c77c-4cd3-9fcd-7e7d863e5987","year":2004},"citing_paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:23:08.041424Z"},"links":{"citing_paper":"/paper/2506.03026"},"observation_digest":"sha256:d0731f1b31eeffdcb69d250f323b64d411b3e3a9a030facf8c0c8ec1a22a89ec","observation_id":"35f816c1-6f1d-49fe-bbf8-49bc9d14eda3","resolution":{"observed_at":"2026-08-07T11:23:08.364603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.15638","last_updated":"2025-08-26T02:41:09Z","snapshot_observed_at":"2026-08-16T13:07:33.938292Z","submitted_at":"2024-10-21T04:56:55Z","title":"Hodge symmetry and Lefschetz theorems for singular varieties","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.15638","snapshot_observed_at":"2026-08-07T11:23:07.992861Z","title":"Peskine and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T11:23:07.992861Z"},"links":{"cited_paper":"/paper/2410.15638","citing_paper":"/paper/2506.03026"},"observation_digest":"sha256:c2febb5ef37aa14d46bd86a7223f91dfbd09fd4ef567cf331f515e8d7df2dfaa","observation_id":"62d10b25-478c-42fc-9bff-555cd2117d90","resolution":{"observed_at":"2026-08-07T11:23:07.992861Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.10417","last_updated":"2025-06-27T02:47:56Z","snapshot_observed_at":"2026-08-17T17:18:13.592079Z","submitted_at":"2025-05-15T15:35:26Z","title":"Local cohomology and singular cohomology of toric varieties via mixed Hodge modules","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.10417","snapshot_observed_at":"2026-08-07T11:23:07.901693Z","title":"MR2093043↑12 [Ish87] Masa-Nori Ishida,Torus embeddings and de Rham complexes, Commutative algebra and com- binatorics (Kyoto, 1985), 1987, pp","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-07T11:23:07.901693Z"},"links":{"cited_paper":"/paper/2505.10417","citing_paper":"/paper/2506.03026"},"observation_digest":"sha256:015b903798b74668b1da4e9e9f2085a94df9ef5a72565f6763a40505d33bcdde","observation_id":"76d1cab1-8711-4192-a80b-772f139470bd","resolution":{"observed_at":"2026-08-07T11:23:07.901693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.14065","last_updated":"2026-07-28T15:22:43Z","snapshot_observed_at":"2026-08-17T23:57:40.823907Z","submitted_at":"2025-01-23T19:57:52Z","title":"A Hodge Theoretic generalization of $\\mathbb{Q}$-Homology Manifolds I: General Case","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.14065","snapshot_observed_at":"2026-08-07T11:23:07.852839Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-07T11:23:07.852839Z"},"links":{"cited_paper":"/paper/2501.14065","citing_paper":"/paper/2506.03026"},"observation_digest":"sha256:4a6cc1fac53e4f233288059afe10f3e7f6058bf025436b7429dc2fcaf9926d56","observation_id":"29accd3e-4811-4d07-a0fb-75167c0ba333","resolution":{"observed_at":"2026-08-07T11:23:07.852839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.03026","last_updated":"2025-06-03T16:00:54Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T22:38:22.764745Z","submitted_at":"2025-06-03T16:00:54Z","title":"Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":5},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2506.03026."}