{"as_of":"2026-08-12T06:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c3bdc4edf598aecadc57554310836b39855e7d5f067135133de6974094f79e9f","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":12,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T20:26:23.279240Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T19:46:10.673017Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":"2310.19779","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-07-01T19:46:10.673017Z","title":"AproofoftheRyser-Brualdi-Steinconjectureforlargeeven n","venue":null,"work_id":"600803a4-16ae-402d-b9f2-8aa542408c3f","year":2023},"citing_paper":{"arxiv_id":"2412.01121","last_updated":"2026-04-14T09:41:42Z","snapshot_observed_at":"2026-07-06T19:59:56.438747Z","submitted_at":"2024-12-02T04:47:44Z","title":"Transversal Structures in Graph Systems: A Survey","version":2},"reference_index":113,"source":"pdf_text","source_observed_at":"2026-05-23T16:33:09.577867Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2412.01121"},"observation_digest":"sha256:1ae4a4a49c285b147ba35826b66d2064986c6bdcb6b6076e66cba24f3fa92d45","observation_id":"6824f225-622e-4e47-9f0e-a3e9239e1f6f","resolution":{"observed_at":"2026-05-23T16:35:42.473800Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-11T20:26:23.279240Z","title":"Montgomery, A proof of the Ryser-Brualdi-Stein conjecture for large eve n n, arXiv preprint arXiv:2310.19779 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.05891","last_updated":"2026-06-22T12:54:47Z","snapshot_observed_at":"2026-08-11T20:11:48.524491Z","submitted_at":"2024-12-08T11:08:28Z","title":"A note on finding large transversals efficiently","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T20:26:23.279240Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2412.05891"},"observation_digest":"sha256:c055b67a59d7cac3392f341c506518f5f84484e8ffcd830e4c52e900afdaf9c4","observation_id":"2f6aa316-151c-4857-863e-1903a4742e05","resolution":{"observed_at":"2026-08-11T20:26:23.279240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-11T18:44:16.896526Z","title":"Montgomery","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.07733","last_updated":"2024-12-10T18:30:12Z","snapshot_observed_at":"2026-08-12T05:29:25.727517Z","submitted_at":"2024-12-10T18:30:12Z","title":"Almost-full transversals in equi-$n$-squares","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T18:44:16.896526Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2412.07733"},"observation_digest":"sha256:949dda07719c93936e8a4c4676d2b48b73d1f4f0b1aefa39426cac5a73b418d5","observation_id":"994d12b2-8290-4a8a-8d10-9f5ecc376226","resolution":{"observed_at":"2026-08-11T18:44:16.896526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-11T12:51:26.149137Z","title":"Montgomery","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13945","last_updated":"2024-12-18T15:27:53Z","snapshot_observed_at":"2026-08-12T05:15:46.781267Z","submitted_at":"2024-12-18T15:27:53Z","title":"Restricted subgraphs of edge-colored graphs and applications","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T12:51:26.149137Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2412.13945"},"observation_digest":"sha256:b870befa04f46d9dd95fe35f0e8ecea220efe131d43ad16ccdc7bd81866ff811","observation_id":"64fed49b-8006-422f-9c55-977ef312ab0c","resolution":{"observed_at":"2026-08-11T12:51:26.149137Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-10T22:08:27.955713Z","title":"Montgomery, A proof of the Ryser-Brualdi-Stein conjecture for large eve n n, arXiv:2310.19779","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.03216","last_updated":"2025-01-06T18:54:53Z","snapshot_observed_at":"2026-08-10T21:50:43.084378Z","submitted_at":"2025-01-06T18:54:53Z","title":"A note on improved bounds for hypergraph rainbow matching problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:08:27.955713Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2501.03216"},"observation_digest":"sha256:09d125c74691a0dcdf8cef3f685587d56c082bc76340093d62d2b79b53106002","observation_id":"95a90924-e166-4452-adb6-ccb91cc28745","resolution":{"observed_at":"2026-08-10T22:08:27.955713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-10T21:22:43.625585Z","title":"Montgomery","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.05438","last_updated":"2025-01-09T18:49:23Z","snapshot_observed_at":"2026-08-11T23:28:48.106302Z","submitted_at":"2025-01-09T18:49:23Z","title":"Almost every Latin square has a decomposition into transversals","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T21:22:43.625585Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2501.05438"},"observation_digest":"sha256:357f52c51ad1d0fe423201d0ede4260e188c77df84344602eb75e3a89437d1ad","observation_id":"0fb79701-c5e0-4677-ba77-a6744fcabaa9","resolution":{"observed_at":"2026-08-10T21:22:43.625585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":"2310.19779","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-07-01T19:46:10.673017Z","title":"AproofoftheRyser-Brualdi-Steinconjectureforlargeeven n","venue":null,"work_id":"600803a4-16ae-402d-b9f2-8aa542408c3f","year":2023},"citing_paper":{"arxiv_id":"2506.17652","last_updated":"2026-05-20T01:49:59Z","snapshot_observed_at":"2026-08-02T07:12:00.709995Z","submitted_at":"2025-06-21T09:22:47Z","title":"Entropy Bounds for Perfect Matchings in Bipartite Hypergraphs","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-22T00:30:24.192089Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2506.17652"},"observation_digest":"sha256:b90d726c4b535d509bdb698d170f4da45d6ea1919d4c4ba3cdd076c2ea9fd09c","observation_id":"b016ff68-8084-4d37-a72f-4e3c2a84dd9c","resolution":{"observed_at":"2026-05-22T00:30:49.065078Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":"2310.19779","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-07-01T19:46:10.673017Z","title":"AproofoftheRyser-Brualdi-Steinconjectureforlargeeven n","venue":null,"work_id":"600803a4-16ae-402d-b9f2-8aa542408c3f","year":2023},"citing_paper":{"arxiv_id":"2604.09449","last_updated":"2026-07-11T20:14:26Z","snapshot_observed_at":"2026-07-31T08:31:04.122708Z","submitted_at":"2026-04-10T16:07:10Z","title":"Colour-balanced subgraphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T17:33:46.638978Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2604.09449"},"observation_digest":"sha256:6c478e1b7c399dfd757d4207857362be57f906efdbc3cc4dec6d3696e2668586","observation_id":"11a250a6-c05b-4775-a802-b367dcac5fb9","resolution":{"observed_at":"2026-05-11T06:36:03.817307Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-07-14T19:47:06.285970Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large evenn","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2604.09449","last_updated":"2026-07-11T20:14:26Z","snapshot_observed_at":"2026-07-31T08:31:04.122708Z","submitted_at":"2026-04-10T16:07:10Z","title":"Colour-balanced subgraphs","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T19:47:06.285970Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2604.09449"},"observation_digest":"sha256:16e6c156b617d7c3111ad9aa5e64120c3752655417780dd3848460a576173a48","observation_id":"8160de45-2f98-45c9-bbf2-4cd87606abec","resolution":{"observed_at":"2026-07-14T19:47:06.285970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":"2310.19779","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-07-01T19:46:10.673017Z","title":"AproofoftheRyser-Brualdi-Steinconjectureforlargeeven n","venue":null,"work_id":"600803a4-16ae-402d-b9f2-8aa542408c3f","year":2023},"citing_paper":{"arxiv_id":"2605.31398","last_updated":"2026-05-29T15:03:44Z","snapshot_observed_at":"2026-08-08T09:04:33.709801Z","submitted_at":"2026-05-29T15:03:44Z","title":"Universality for rainbow oriented cycles in perturbed digraphs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-28T22:04:58.692677Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2605.31398"},"observation_digest":"sha256:d1cc4f3bae60a0c13b634d92be4e623a4c8f87406ba10c8efdad12ce5c653cd3","observation_id":"709dc406-ecfc-40e1-bf57-28473b46aeba","resolution":{"observed_at":"2026-07-01T19:46:10.674670Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-01T00:48:46.246276Z","title":"Montgomery","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.26049","last_updated":"2026-07-28T17:58:02Z","snapshot_observed_at":"2026-08-10T18:01:02.901894Z","submitted_at":"2026-07-28T17:58:02Z","title":"Recent progress in graph theory using expansion","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-01T00:48:46.246276Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2607.26049"},"observation_digest":"sha256:9a52680223257cc64b2451d53b670b0e734fcf7d226779e994dea771cf78dc2d","observation_id":"b17a4829-4745-47f0-943a-979ed7786ea3","resolution":{"observed_at":"2026-08-01T00:48:46.246276Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19779","snapshot_observed_at":"2026-08-07T04:29:01.835920Z","title":"Montgomery","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06369","last_updated":"2026-08-06T17:58:27Z","snapshot_observed_at":"2026-08-10T16:01:12.568616Z","submitted_at":"2026-08-06T17:58:27Z","title":"A proof of Andersen's rainbow path conjecture for large $n$","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T04:29:01.835920Z"},"links":{"cited_paper":"/paper/2310.19779","citing_paper":"/paper/2608.06369"},"observation_digest":"sha256:f158b2434a66ba3326da943887b072598c75405c9759b2bfb01b2f61ee473a7c","observation_id":"d6246749-3659-4079-8bcf-a879abf056a3","resolution":{"observed_at":"2026-08-07T04:29:01.835920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2310.19779/citation-record","integrity":"/paper/2310.19779/integrity","json":"/paper/2310.19779/citation-record.json","paper":"/paper/2310.19779"},"outbound":[],"paper":{"arxiv_id":"2310.19779","last_updated":"2023-10-30T17:46:58Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T16:40:39.567420Z","submitted_at":"2023-10-30T17:46:58Z","title":"A proof of the Ryser-Brualdi-Stein conjecture for large even $n$"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2310.19779."}