{"as_of":"2026-08-08T23:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5e2d74e78999c522a9bc8d018a997087f10564330da229a3daa910fcbdca8783","coverage":[{"denominator":50,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":50,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T23:11:12.728814Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-05-09T22:03:25.856443Z","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":"2026-05-11T14:21:04.725793Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"cited_work":{"arxiv_id":"2511.07247","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2511.07247","snapshot_observed_at":"2026-07-23T02:23:23.481766Z","title":null,"venue":null,"work_id":"838ad1c7-d612-4e17-aea8-125ff28fcb06","year":2025},"citing_paper":{"arxiv_id":"2604.21486","last_updated":"2026-04-23T09:48:29Z","snapshot_observed_at":"2026-07-06T23:08:05.568089Z","submitted_at":"2026-04-23T09:48:29Z","title":"A non-existence result for vertex-girth-regular graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-09T22:03:25.856443Z"},"links":{"cited_paper":"/paper/2511.07247","citing_paper":"/paper/2604.21486"},"observation_digest":"sha256:56540d0ded5a6d244f9d5138b8e83af8a18a65c698b8762b93ed556dd16ac568","observation_id":"4325765e-ff5c-449c-bb43-6b5b58757459","resolution":{"observed_at":"2026-07-23T02:23:23.481766Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2511.07247/citation-record","integrity":"/paper/2511.07247/integrity","json":"/paper/2511.07247/citation-record.json","paper":"/paper/2511.07247"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.12095","last_updated":"2026-05-07T07:45:31Z","snapshot_observed_at":"2026-07-06T21:10:22.737231Z","submitted_at":"2025-04-16T13:59:43Z","title":"The Gray graph is pseudo 2-factor isomorphic","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.12095","snapshot_observed_at":"2026-08-03T23:11:06.960625Z","title":"Abreu, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:06.960625Z"},"links":{"cited_paper":"/paper/2504.12095","citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:64c98d8068953f06cf8e57a869da3bb6aca4fb8c3458c144725070324182c8b1","observation_id":"b1dd4bb5-0956-43a5-8781-9466812758b3","resolution":{"observed_at":"2026-08-03T23:11:06.960625Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.042726Z","title":"Araujo-Pardo","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.042726Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:4af42eaa02b54440d4e8202266292a5d46d1df2d753bf3448c5f8a6b8ce8bef8","observation_id":"eaabeca3-31ea-4737-b86e-dc447a5b1e97","resolution":{"observed_at":"2026-08-03T23:11:07.042726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.105032Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.105032Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:bbd0956e4605908476cf720931bf065de975877558a5a3886d97b4f7e441fb0d","observation_id":"6641fbc7-7cdc-46c2-98d6-c47c9524ae64","resolution":{"observed_at":"2026-08-03T23:11:07.105032Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.248630Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.248630Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:261f4f51f090898875071661d5b609d93da006e9e7f0a0b6a323ca7b008d730f","observation_id":"47dad3ef-71e8-44c0-b08d-bf539f7ffe52","resolution":{"observed_at":"2026-08-03T23:11:07.248630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.375130Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.375130Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:5652e9d02c4960f1bb2a6ce30a853d9e810ed51ce023540754375b7dd03ed636","observation_id":"17d55559-3118-424d-984d-71b3739be610","resolution":{"observed_at":"2026-08-03T23:11:07.375130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.537460Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.537460Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:70b2ba7095379bb580c227e7e57bdd8fef8455b96b53c942e754bc3e9c7e611e","observation_id":"bb26741b-f4c1-4f12-9a1f-7028191bc869","resolution":{"observed_at":"2026-08-03T23:11:07.537460Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.679647Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.679647Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:cae62d6a78fc1b28f8f490629328cf6fc208ec93eebac28fa947a442496d1d70","observation_id":"75510d9a-00fa-4775-b6ad-21f474c5a862","resolution":{"observed_at":"2026-08-03T23:11:07.679647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.827877Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.827877Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:98d1a0aeb3796057b446bbbb615a237cc829eaa0a7a7e03fdfb2a792de23edf6","observation_id":"0d693532-1d32-4c10-9080-2ab3d1ec9ecc","resolution":{"observed_at":"2026-08-03T23:11:07.827877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:07.962182Z","title":"Brinkmann, B","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:07.962182Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:068b1824753b40388c8b8188aa25d9baedc56995116a1e1cc77decae8baf185d","observation_id":"c241c9c9-f407-46f9-b14a-c78a0e88466f","resolution":{"observed_at":"2026-08-03T23:11:07.962182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.150329Z","title":"Brinkmann, N","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.150329Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:ef84f57f085c36b3367388025d302496db0daf67fae6a8bb8b0a921adffbbcd8","observation_id":"6b96777a-9e5a-4e0e-8684-3d49594e34f3","resolution":{"observed_at":"2026-08-03T23:11:08.150329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.280333Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.280333Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:5acced8c6be67b1aeba36c1e621a95f5d63eb6a08a54390b8bdda9cdf6ab3106","observation_id":"676e89f3-35a3-45fc-a452-b571359c02cb","resolution":{"observed_at":"2026-08-03T23:11:08.280333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.404682Z","title":"Coolsaet, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.404682Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:6964fb9f9b8d97b7098bfc7cd7afe8253d6c3d618b75acb86016bcb14f4fab8d","observation_id":"b70cc233-466d-4c05-a005-d9e5ad2d9a7c","resolution":{"observed_at":"2026-08-03T23:11:08.404682Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.597557Z","title":"Csirmaz and P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.597557Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:169af5df9f1c577b3ac5c860d7dd966b3c19eadac759f8da7c7afcfad06c2a70","observation_id":"376ee854-9c1a-4703-8e28-e5edbc113e2c","resolution":{"observed_at":"2026-08-03T23:11:08.597557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.790515Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.790515Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:90934d1480dccfab1f5394a6c542e9d7bd823f5647fe64fc9456da64353df3db","observation_id":"e7e149dd-d212-4edf-99af-a10e06d9172a","resolution":{"observed_at":"2026-08-03T23:11:08.790515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:08.926179Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:08.926179Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:32546c066cd614f4b4aa62ce8ef57d6ede0510c9db1c2ec7721d86ad3f9b8d28","observation_id":"05dfa333-3fc4-4e7d-8d5b-7b25c37874c2","resolution":{"observed_at":"2026-08-03T23:11:08.926179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.057595Z","title":"Donetti, F","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.057595Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:fe04eaeb1486e8262de8ab5acc9696da1682948634fa6599a13e0c4b884017e2","observation_id":"8e9a45ab-ba95-409a-a909-a73328bbe73c","resolution":{"observed_at":"2026-08-03T23:11:09.057595Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.178503Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.178503Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:13450198eee63f4ea85d3385d980e3bf0c2c152f9236df607187aa9227f9111e","observation_id":"04f11fa4-41b2-483f-9f28-c9a46eb2a534","resolution":{"observed_at":"2026-08-03T23:11:09.178503Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.277199Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.277199Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:97b89e1566d32bc367c8dccb5429de1cbc8836b69f8ada2be7b81271341053c9","observation_id":"fc7fb5bd-c520-41bc-83a8-53fedba92fcf","resolution":{"observed_at":"2026-08-03T23:11:09.277199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.346752Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.346752Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:f1846f5d782e716c0a5bacd9a2cb27dbdc324ef16d3876d1587fc815b12e61fc","observation_id":"b00d54e6-f304-4a00-ac4b-23e551f7bef0","resolution":{"observed_at":"2026-08-03T23:11:09.346752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.444486Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.444486Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:0901ea38e1e1db27ab62142bb0bba45245dcde17f8792a730041c82f75ab7027","observation_id":"240edea1-1434-4112-8858-11abeb008a2f","resolution":{"observed_at":"2026-08-03T23:11:09.444486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.514199Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.514199Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:7dadbc1ec7a9b6df40fae61c45252337fbb41874156a4295c4abad47d24adc45","observation_id":"d6f4e407-fd6b-4972-abec-d1e54b6a36c3","resolution":{"observed_at":"2026-08-03T23:11:09.514199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.612560Z","title":"Exoo and R","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.612560Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:0ed12d61ada5ada7242317717c1551e0aa5413974d5838e5b65ce20c3c7738cb","observation_id":"fbe5a15e-db08-4bd5-8f65-d85f62a4768a","resolution":{"observed_at":"2026-08-03T23:11:09.612560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.672022Z","title":"Exoo and R","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.672022Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:a1bb76044a157a3890e8841e31a442bc20eef49bb1deacb1817434ca30469f0d","observation_id":"5e1b6c4d-bc52-497f-b47d-19c8b287f34c","resolution":{"observed_at":"2026-08-03T23:11:09.672022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.758609Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.758609Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:ab6c9280e8823480b8c98c06212e2d2b975926d81a25a5f7b324f975afc43d59","observation_id":"d782a7b5-c8de-4fad-84b1-ea5d323ec418","resolution":{"observed_at":"2026-08-03T23:11:09.758609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06466","last_updated":"2025-03-09T06:05:48Z","snapshot_observed_at":"2026-08-07T17:19:25.481661Z","submitted_at":"2025-03-09T06:05:48Z","title":"Theoretical and Computational Approaches to Determining Sets of Orders for $(k,g)$-Graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.06466","snapshot_observed_at":"2026-08-03T23:11:09.829693Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.829693Z"},"links":{"cited_paper":"/paper/2503.06466","citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c489c3ff4ea86144680a5a49d7224ef376558c170007bce3852007ee8a6c9995","observation_id":"f57d4890-e7e9-4f5d-9a62-a88ed3535dbf","resolution":{"observed_at":"2026-08-03T23:11:09.829693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:09.931988Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:09.931988Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:757901a666ee1501d0bfb10a8304bcbd72235aa7d29de77a77d3242bf72dd805","observation_id":"9b9ced92-9942-4bbf-9fcf-1331de93dee3","resolution":{"observed_at":"2026-08-03T23:11:09.931988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.032578Z","title":"The GAP Group, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.032578Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:9d2060dba38f8043c705909247bbafd62a8a2cc3ea84a1a7208107b43583fe98","observation_id":"af041f8f-e536-4587-ac7a-32e4597d4fad","resolution":{"observed_at":"2026-08-03T23:11:10.032578Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.095409Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.095409Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c036ae31d4187594566dba8ffff79893b3c73ebddfda2eed7710fed08d381a0b","observation_id":"2f10684c-ae36-4c80-bc95-0f0bd7e296b3","resolution":{"observed_at":"2026-08-03T23:11:10.095409Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.168450Z","title":"Goedgebeur and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.168450Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:28753a119b9d012e9f384d9a540f8b7101dfe6755f974cd8f75f9ed99b6d6414","observation_id":"cc1c7aeb-c67f-4290-9647-6fc1b93781d9","resolution":{"observed_at":"2026-08-03T23:11:10.168450Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.246767Z","title":"Goedgebeur and S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.246767Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:3d035304e4e3eb503676ac1e65dc7cdb05c9b798158385c7abf739db4e7da5a9","observation_id":"4c567ef3-5f3a-4b60-aa42-efaca6818a9e","resolution":{"observed_at":"2026-08-03T23:11:10.246767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.430776Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.430776Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:5b79b4dd9269a2f0c56759e80619532b53081554ec90a7f608da9874db0ebe09","observation_id":"9c2dd44d-f030-477a-85a0-a766e4a1f401","resolution":{"observed_at":"2026-08-03T23:11:10.430776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.607218Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.607218Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:54040c7a0de445a1a4db9fab8a6fc88ead1f6a64a1326b44080de5beab23227a","observation_id":"91028f96-e9e9-462d-9a2b-89210d18f673","resolution":{"observed_at":"2026-08-03T23:11:10.607218Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:10.799203Z","title":"Jajcay, G","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.799203Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:268ea7444dd8545ff5da71856f899f4e69edd4fc1ad300671efd38fcf25468a2","observation_id":"272c68ba-d260-4774-b597-aaba0a1f6377","resolution":{"observed_at":"2026-08-03T23:11:10.799203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14557","last_updated":"2024-08-26T18:16:17Z","snapshot_observed_at":"2026-07-06T19:06:10.813371Z","submitted_at":"2024-08-26T18:16:17Z","title":"On vertex-girth-regular graphs: (Non-)existence, bounds and enumeration","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14557","snapshot_observed_at":"2026-08-03T23:11:10.922865Z","title":"Jajcay, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:10.922865Z"},"links":{"cited_paper":"/paper/2408.14557","citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:caa62df063420c4be965affce45f02915b0d4be84c544fb1e522116b70582025","observation_id":"188250e6-fd69-4c3f-b74c-b167fdbebfda","resolution":{"observed_at":"2026-08-03T23:11:10.922865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.20825","last_updated":"2025-08-28T14:21:46Z","snapshot_observed_at":"2026-08-07T17:26:41.573833Z","submitted_at":"2025-08-28T14:21:46Z","title":"Computer-assisted graph theory: a survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.20825","snapshot_observed_at":"2026-08-03T23:11:11.052672Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.052672Z"},"links":{"cited_paper":"/paper/2508.20825","citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:301fc4c204a0643a3cb0c52475b8ee6340a18582bffa07b386a29d934fa450b5","observation_id":"9b2478c9-9cbd-438d-b545-511f43dcb56a","resolution":{"observed_at":"2026-08-03T23:11:11.052672Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.207599Z","title":"Malema and M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.207599Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:1a1646053d9ce25d7a4d11e0d312896087bf1dc0964dd5060eaf73ee4c0ae657","observation_id":"ef335048-9b47-4c32-965d-79844dee3431","resolution":{"observed_at":"2026-08-03T23:11:11.207599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.347400Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.347400Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:d294dadb41ea302cf0f14f18cbef3b258f87b49102e84d66e7b6be130d28d98d","observation_id":"7db42b2b-ace0-4a92-bd3b-bcce667d7af8","resolution":{"observed_at":"2026-08-03T23:11:11.347400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.503867Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.503867Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:eedf724e3127114a4d559d00a8ff7c66b9c8b7b08c9b9e210e455996845b4156","observation_id":"4288184c-b507-4c73-a836-0f00f485ec92","resolution":{"observed_at":"2026-08-03T23:11:11.503867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.643152Z","title":"O’Keefe and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.643152Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c95150b007aacc7f4bd00ba6a71fdd434d3f4042d18fc94a86409aed549981a4","observation_id":"bfcc3d8e-61bf-4949-a57a-d3315458eb66","resolution":{"observed_at":"2026-08-03T23:11:11.643152Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.757884Z","title":"Potoˇcnik","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.757884Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:9f5558bb22455884777c963e95db649f75a004df5c79b590190dccce33300f13","observation_id":"f32ac1d8-1d80-4e0e-a4f1-b5ce33f822ac","resolution":{"observed_at":"2026-08-03T23:11:11.757884Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.918871Z","title":"census of pentavalent arc-transitive graphs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.918871Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:1cac810aba342502a609a6ef051540e2ab800868e62e899bf9c36f2fc04f6405","observation_id":"dc479401-34b4-4c6d-9a67-6e5acc28e698","resolution":{"observed_at":"2026-08-03T23:11:11.918871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:11.987633Z","title":"Potoˇcnik, P","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:11.987633Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c46b2d83a45f7df5604eb8f5b4965d8c34f20511a33803d06aaf88995f566ccd","observation_id":"9943073a-179b-4337-9abf-49840248565a","resolution":{"observed_at":"2026-08-03T23:11:11.987633Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.136359Z","title":"Potoˇcnik, P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.136359Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:3b51214aad6085f1210575d1912647b89d907f9f9fae68022905f0505e6f269c","observation_id":"cdc035dd-46e8-4123-8cfc-432a1cce2293","resolution":{"observed_at":"2026-08-03T23:11:12.136359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.297664Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.297664Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:a09e161b65cdf915c9fd05adfbd8fdb276d3fe98c425cde2e2c9c298062d439f","observation_id":"47005c0b-bb24-4861-908d-d2e2d53fa849","resolution":{"observed_at":"2026-08-03T23:11:12.297664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.359499Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.359499Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:d7fd5daa4e3c69ac4d3045789eec0e3087b2e607dda54cc0e859503c006a5740","observation_id":"fbe67ddf-dabe-47c8-806c-6bfd9266ac93","resolution":{"observed_at":"2026-08-03T23:11:12.359499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.448446Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.448446Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c88512aa7ca1f578c77a008eeb67ac4d2a418cb0c490b04108ef7dca097d5bc6","observation_id":"2e2c15dc-9590-4b1d-9d5d-fdb312aead45","resolution":{"observed_at":"2026-08-03T23:11:12.448446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.508122Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.508122Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:adcd8dda242bd3e27f278841246a374b2dda88d52f3bb10db3de57a3102e33c2","observation_id":"1655a785-2145-44d9-b180-8d6756cb13d4","resolution":{"observed_at":"2026-08-03T23:11:12.508122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.613647Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.613647Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:c29f8d29cff01aa7381d0680e55630b9ac4bdd3ef1030aa6550ce3b21948b14a","observation_id":"e38417fd-f03c-4080-9628-f2fc44615a1f","resolution":{"observed_at":"2026-08-03T23:11:12.613647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.675892Z","title":"?” indicates that no upper bound is known, bold rows indicate matching lower and upper bounds, and the “# Graphs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.675892Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:bff052cf4b99b68eabc85e7554a7825e3e6013f7da7435e479d52bd0d93be556","observation_id":"ed1baafb-a0c2-4f67-929e-8c39f840da91","resolution":{"observed_at":"2026-08-03T23:11:12.675892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T23:11:12.728814Z","title":"Table 3: Overview of improvedn(k, g, λe)-bounds","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T23:11:12.728814Z"},"links":{"citing_paper":"/paper/2511.07247"},"observation_digest":"sha256:a344e74b059b38ba598379c143d23dab4b6f055c1c1f258abb95b9052aa1b4d0","observation_id":"a152307b-7a6e-4b62-871c-715694d7d91c","resolution":{"observed_at":"2026-08-03T23:11:12.728814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.07247","last_updated":"2026-07-22T06:57:21Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-08T18:08:04.135125Z","submitted_at":"2025-11-10T16:00:38Z","title":"New small regular graphs of given girth: the cage problem and beyond"},"reference_resolution":{"displayed":50,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":50,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":50},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2511.07247."}