{"as_of":"2026-08-11T04:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78ce91fa4be3672b9a3bd5389db544315d652acdaad59853fdd54974d911f09b","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T16:38:40.266892Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"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/2604.10028/citation-record","integrity":"/paper/2604.10028/integrity","json":"/paper/2604.10028/citation-record.json","paper":"/paper/2604.10028"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Milne, Arthur Ogus, and Kuang-yen Shih,Hodge cycles, motives, and Shimura varieties, Lecture Notes in Mathematics, vol","venue":null,"work_id":"aa8753c6-1d41-43f2-a1b0-0029bf815ea5","year":1982},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:d42caa7567f37df9de36124f9c64bf3acd4a149d41a839906b1728cbc89a3a43","observation_id":"1b03402b-255c-46da-9d2e-bdaae3dcd118","resolution":{"observed_at":"2026-05-17T14:19:46.217028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"183, Princeton University Press, Princeton, NJ, 2012, Their geometry and arithmetic","venue":null,"work_id":"7bf7f8b0-d009-484c-9d98-774cbd30fbb5","year":2012},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:fe637f7e45b9506865cf7da1c1c7a13a87d283b25fb1bc573c2656dd4782382c","observation_id":"dc58107a-2b43-4ba1-83b9-f7714d385eea","resolution":{"observed_at":"2026-05-17T14:19:46.220965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2411.02266","last_updated":"2025-03-28T18:23:27Z","snapshot_observed_at":"2026-07-06T19:44:55.644262Z","submitted_at":"2024-11-04T16:57:10Z","title":"Decomposition and framing of F-bundles and applications to quantum cohomology","version":2},"cited_work":{"arxiv_id":"2411.02266","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.02266","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ef8be040-f787-4731-b0ab-bee5cfa7f91d","year":2024},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"cited_paper":"/paper/2411.02266","citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:e0e3bf264f345d995df08e4bb1eb0169e594e1d5a21efc4ba197af73ac70ee3a","observation_id":"c9687fce-1d48-42ce-9954-6170c7cebdc7","resolution":{"observed_at":"2026-05-11T08:26:00.727705Z","resolver_source":"arxiv_id","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":"2307.13555","last_updated":"2025-02-04T15:37:17Z","snapshot_observed_at":"2026-07-06T15:58:20.063904Z","submitted_at":"2023-07-25T14:59:41Z","title":"Quantum cohomology of blowups","version":3},"cited_work":{"arxiv_id":"2307.13555","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2307.13555","snapshot_observed_at":"2026-07-03T23:09:01.508588Z","title":"Iritani, Quantum cohomology of blowups, preprint at arXiv:2307.13555v3","venue":null,"work_id":"539df1c4-a2c0-4df8-912d-7b9063e562df","year":2023},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"cited_paper":"/paper/2307.13555","citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:195588860400b051a2f2146690159f0d0c2a5eaea826e5f10a42ea9de9309db3","observation_id":"ea26a6e7-6042-48b3-848d-1afb67695723","resolution":{"observed_at":"2026-05-11T08:26:00.732553Z","resolver_source":"arxiv_id","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":null,"cited_work":{"arxiv_id":"2508.05105","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T23:09:01.509082Z","title":"Birational Invariants from Hodge Structures and Quantum Multiplication","venue":null,"work_id":"a3317ea2-4c71-45cc-a5ac-d987bc73c8fd","year":2025},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:567c96dbe5ad6a82e4a3ca4715530256d2acc47f1a1cd1210e8d63816596aba8","observation_id":"3c5b0dac-9ab3-4f78-b4d7-5f223524ef9e","resolution":{"observed_at":"2026-05-11T08:26:00.742693Z","resolver_source":"arxiv_id","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"I, English ed., Cambridge Studies in Advanced Mathematics, vol","venue":null,"work_id":"4bdcf8fe-6fe4-4f45-bf94-ec58121ecb7e","year":2007},"citing_paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T16:38:40.266892Z"},"links":{"citing_paper":"/paper/2604.10028"},"observation_digest":"sha256:bb0ec6592ea9829236a7360b10746ff6a21e6105baf443a2577cfe3f332ea4d7","observation_id":"d38d9226-4183-427b-82d5-d36af964ace2","resolution":{"observed_at":"2026-05-17T14:19:46.225911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2604.10028","last_updated":"2026-04-19T01:00:17Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-02T21:05:20.772642Z","submitted_at":"2026-04-11T04:51:25Z","title":"Notes on the decomposition theorem for blowups"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":3,"verified_fuzzy":3},"total_outbound_references":6},"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 11 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2604.10028."}