{"as_of":"2026-08-14T10:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:95fa20115254d02a6f0dfcae1a2eb49795b0361472f397cc78d99073e41525d3","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:21:06.141184Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-07-10T15:32:23.507797Z","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":"2026-07-10T15:37:20.378382Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"cited_work":{"arxiv_id":"2502.09530","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09530","snapshot_observed_at":"2026-07-10T15:37:20.378382Z","title":"Simultaneous generating sets for flags","venue":"math.CO","work_id":"5db40718-4614-4652-ba20-6219bcf71180","year":2025},"citing_paper":{"arxiv_id":"2607.07913","last_updated":"2026-07-08T20:54:05Z","snapshot_observed_at":"2026-08-14T01:43:34.415901Z","submitted_at":"2026-07-08T20:54:05Z","title":"A majorization relation for a sum of two tensor products of positive semidefinite operators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-10T15:32:23.507797Z"},"links":{"cited_paper":"/paper/2502.09530","citing_paper":"/paper/2607.07913"},"observation_digest":"sha256:35b278e0a8b7f8c6bd85d8a35879996374ce77c800a87b7ec81fc62e7c4dd7f0","observation_id":"6d8c21c2-1a6a-46f5-b3cf-ced0ca56bd42","resolution":{"observed_at":"2026-07-10T15:37:20.379637Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.09530/citation-record","integrity":"/paper/2502.09530/integrity","json":"/paper/2502.09530/citation-record.json","paper":"/paper/2502.09530"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:21:06.385609Z","title":"Billey and R","venue":null,"work_id":"03d204b3-054c-4849-8d21-e7d068fde6e1","year":2008},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.109501Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:a0b1b754c755f368255a3c22547d52b026c4061ab28f41a28c387ed595beca65","observation_id":"6de07039-9cf9-4811-bf1f-4366f6d5b924","resolution":{"observed_at":"2026-08-07T21:21:06.389562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.375942Z","title":"Bourbaki, Groupes et Alg` ebres de Lie, Chapitres 4 ` a 6","venue":null,"work_id":"7c07efaf-c9df-48b7-9d08-258cd7bce465","year":1981},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.114287Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:ec24527c49594f00cf3c5b9b7a34999634744ac7e8cfe57f68ed1db30e1efe8d","observation_id":"db8d6cea-6ec3-4f06-a92d-5cc51ee678c1","resolution":{"observed_at":"2026-08-07T21:21:06.379528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.366139Z","title":"Eriksson and S","venue":null,"work_id":"781335e0-a625-43e8-8ccb-8c6244bff331","year":2000},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.118293Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:0bc82c4b48bb5bbcf3f43467dd5808608630c397eeb082c732a470324642da74","observation_id":"6b7ce215-0ce8-487e-afb9-297354542f86","resolution":{"observed_at":"2026-08-07T21:21:06.369483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.355376Z","title":"Eriksson and S","venue":null,"work_id":"c31ad5ff-5750-4b51-8b90-c28e0f9679aa","year":2000},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.122089Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:a311c2fd36c706ce0f14b7513f724ed86a6e79edc7c88518979b8f9401dce518","observation_id":"f36e2cfb-d955-4f66-92fa-5cce85b45f85","resolution":{"observed_at":"2026-08-07T21:21:06.359013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.343650Z","title":"Oxley, Matroid Theory, Second Edition","venue":null,"work_id":"2639387a-e032-40c4-815e-2737654f5ad1","year":2011},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.125770Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:f2164516ce0a268ff2230f80f71bceece0f30843d0b653c8bed0cf5c8fadfc60","observation_id":"537fb8b9-d5ee-4cd7-b589-167b2d547226","resolution":{"observed_at":"2026-08-07T21:21:06.347890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.333279Z","title":"Oxley and S","venue":null,"work_id":"6b1cacbe-cfbe-4f22-8305-7b0302ac6dc0","year":2022},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.130111Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:1b7c4adebc193e460ac22d14fe3617d1d0e22e94dc3e8cd23804726e6dc5638e","observation_id":"ba7eacee-aa37-40b2-9513-fbebaf525b1e","resolution":{"observed_at":"2026-08-07T21:21:06.336931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.321350Z","title":"Pfeil, On Properties of Matroid Connectivity","venue":null,"work_id":"8b2041c0-8ff8-4bad-bc70-70f08e9492fd","year":2016},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.134396Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:fb0916e17cad558899927a13ab8fd66e928483e7eb585ad77228b7a187363b1c","observation_id":"312b45d1-89ea-450a-82a8-a984bb2c2aa8","resolution":{"observed_at":"2026-08-07T21:21:06.326087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T21:21:06.312026Z","title":"Shapiro, M","venue":null,"work_id":"29231007-16d3-4aa8-8a96-8f610238d75a","year":1997},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.137823Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:96260cefbe3a78baee031ff172d85e55a0f6bc717576a09f15bc49f2be5c2014","observation_id":"70f22eea-75d5-446d-83e9-64720f5eb755","resolution":{"observed_at":"2026-08-07T21:21:06.315155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"q/4639005","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T21:21:06.296970Z","title":"How to construct a base compatible with two filtrations","venue":null,"work_id":"17249535-8de1-4ae0-ac27-79febb2ad6de","year":2023},"citing_paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T21:21:06.141184Z"},"links":{"citing_paper":"/paper/2502.09530"},"observation_digest":"sha256:b91cc0d8b88b2716844c0216bd16d62057e8db23629c5b9d0fbb3f793e96d7a9","observation_id":"05a3d672-9bb3-48a1-a4b2-10213553ce86","resolution":{"observed_at":"2026-08-07T21:21:06.305061Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.09530","last_updated":"2025-02-13T17:43:43Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-10T07:25:18.034071Z","submitted_at":"2025-02-13T17:43:43Z","title":"Simultaneous generating sets for flags"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":8},"total_outbound_references":9},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2502.09530."}