{"as_of":"2026-08-13T08:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb002b09d6f9eeb15a6c638dc5257068f7a25ebe39d403185bf1965014b69ff4","coverage":[{"denominator":2,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:25:42.319091Z","state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-07-10T12:15:09.331797Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T12:17:03.812287Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.15363","last_updated":"2026-05-31T19:37:15Z","snapshot_observed_at":"2026-08-12T14:20:43.941814Z","submitted_at":"2024-11-22T22:12:35Z","title":"The Polymatroid Representation of a Greedoid, and Associated Galois Connections","version":4},"cited_work":{"arxiv_id":"2411.15363","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.15363","snapshot_observed_at":"2026-07-10T12:17:03.812287Z","title":"The Polymatroid Representation of a Greedoid, and Associated Galois Connections","venue":"math.CO","work_id":"7510c2c5-48d1-4502-a78c-0c30152c005d","year":2024},"citing_paper":{"arxiv_id":"2607.08151","last_updated":"2026-07-09T06:42:57Z","snapshot_observed_at":"2026-08-07T06:12:38.422781Z","submitted_at":"2026-07-09T06:42:57Z","title":"Approximation Algorithms for Matroidal Prerequisite Systems","version":1},"reference_index":132,"source":"arxiv_source","source_observed_at":"2026-07-10T12:15:09.331797Z"},"links":{"cited_paper":"/paper/2411.15363","citing_paper":"/paper/2607.08151"},"observation_digest":"sha256:1479f453a10e1e4444613b85d6c45666eacd42f5220c962355665e42261991f8","observation_id":"19da6ed6-336c-4f40-9bfd-d8fa51fa6290","resolution":{"observed_at":"2026-07-10T12:17:03.814021Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.15363/citation-record","integrity":"/paper/2411.15363/integrity","json":"/paper/2411.15363/citation-record.json","paper":"/paper/2411.15363"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T14:25:42.367647Z","title":null,"venue":null,"work_id":"4e0e0768-3a7b-4507-a3f0-c5448a67ea7d","year":null},"citing_paper":{"arxiv_id":"2411.15363","last_updated":"2026-05-31T19:37:15Z","snapshot_observed_at":"2026-08-12T14:20:43.941814Z","submitted_at":"2024-11-22T22:12:35Z","title":"The Polymatroid Representation of a Greedoid, and Associated Galois Connections","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:25:42.313341Z"},"links":{"citing_paper":"/paper/2411.15363"},"observation_digest":"sha256:db831897f3b8c0417624001f36c61754ad2eeb8b0c4e202217c0392b684b4bde","observation_id":"9273d823-4938-4071-b027-e7d3ffc8c868","resolution":{"observed_at":"2026-08-12T14:25:42.372538Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T14:25:42.351983Z","title":"First we must define an antimatroid: Let A be a greedoid","venue":null,"work_id":"8f3d4ec9-43e7-45a0-88fd-a85cf1d68675","year":null},"citing_paper":{"arxiv_id":"2411.15363","last_updated":"2026-05-31T19:37:15Z","snapshot_observed_at":"2026-08-12T14:20:43.941814Z","submitted_at":"2024-11-22T22:12:35Z","title":"The Polymatroid Representation of a Greedoid, and Associated Galois Connections","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T14:25:42.319091Z"},"links":{"citing_paper":"/paper/2411.15363"},"observation_digest":"sha256:5d61e67fed36003d54371653f328e91cbcc4696354850245b275a14614667da3","observation_id":"5893b0b7-107e-40cd-bbb9-c6118d5e13b0","resolution":{"observed_at":"2026-08-12T14:25:42.358524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.15363","last_updated":"2026-05-31T19:37:15Z","latest_version":4,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T14:20:43.941814Z","submitted_at":"2024-11-22T22:12:35Z","title":"The Polymatroid Representation of a Greedoid, and Associated Galois Connections"},"reference_resolution":{"displayed":2,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":1},"total_outbound_references":2},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 1 inbound Pith citation observation for arXiv:2411.15363."}