{"as_of":"2026-08-13T03:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:157b3cec8abbf125a9acc7195f4d08f4b6f49ca215d0dd9b9ab335cf04d69d45","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T10:45:39.604175Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-05-22T20:24:43.063146Z","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":"2026-05-22T20:25:05.410676Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"cited_work":{"arxiv_id":"2411.19023","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19023","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"23f616ec-7bf9-43f5-9e2e-2f31519c6ef0","year":2024},"citing_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},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-22T20:24:43.063146Z"},"links":{"cited_paper":"/paper/2411.19023","citing_paper":"/paper/2504.12095"},"observation_digest":"sha256:c19584ba2c11d99f17c63e63b4a1756e8f5f76bc0c44b427c88abfcd3b349055","observation_id":"0c58d0fa-583c-4bbf-9589-225d3a8c08f0","resolution":{"observed_at":"2026-05-22T20:25:05.412216Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2411.19023/citation-record","integrity":"/paper/2411.19023/integrity","json":"/paper/2411.19023/citation-record.json","paper":"/paper/2411.19023"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.999253Z","title":"Balbuena, D","venue":null,"work_id":"780e5a04-cfef-4d4e-b212-77287da380e4","year":2013},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.491208Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:ccae67f9a73838d4d7ddb3756c18f1902b0f8fa51b1e15164d19aa448571e612","observation_id":"5053e27c-2a08-4b58-99f6-40dc7c0c044f","resolution":{"observed_at":"2026-08-12T10:45:40.003355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.986697Z","title":"Balbuena, and J","venue":null,"work_id":"9e20ff98-f39b-4a33-94f0-eca332c4f1d8","year":2014},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.495983Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:c0afa6d308854955cccca6d3e55adbf1258a6f27d9e129f4ce3ce9a2cbc7eaa8","observation_id":"a73c33e7-6e3c-4c30-be0b-348533069873","resolution":{"observed_at":"2026-08-12T10:45:39.990853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.973312Z","title":null,"venue":null,"work_id":"74d95f02-f85b-4235-86d1-e44228f1ee61","year":2002},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.500263Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:711990417daee7a1ffadb8f19e02d476c5428c0fb87f0eefa1db375d592accab","observation_id":"9bae6003-9abb-4e6e-8e49-135dbf4e28e8","resolution":{"observed_at":"2026-08-12T10:45:39.977858Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.960222Z","title":"Boben, R","venue":null,"work_id":"6061e2f0-c590-486b-9226-e6b0e10e45d1","year":2015},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.504632Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:e7d75aba8ff57512bcc7de64f39ca7a4f11f23a4edb8fef390a9513d53ee0208","observation_id":"841d3b7a-1a2a-41a9-8fde-d1704e76c277","resolution":{"observed_at":"2026-08-12T10:45:39.964483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.947554Z","title":"Brinkmann, J","venue":null,"work_id":"8291092d-4807-4de4-8754-87a8fabe53cc","year":2011},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.508966Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:08467e4c1fac0e7cb337c2a0b98c3cd5782b84b2a40a56e738ce923a0631ea42","observation_id":"ae3e02f0-7753-4499-ba2e-59de46a664f1","resolution":{"observed_at":"2026-08-12T10:45:39.951863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.934728Z","title":null,"venue":null,"work_id":"c78a93e1-c9d3-4227-bcf9-71272915194e","year":1997},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.513163Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:c41f3261d1d6ae55b4a96244085e88dd316747a769106dd8b9156fc67e7b07af","observation_id":"f9030fa8-a35e-4eaf-bce0-2aed269fb813","resolution":{"observed_at":"2026-08-12T10:45:39.939006Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.922786Z","title":"Conder and P","venue":null,"work_id":"e2634cd7-221c-4e7d-b46d-7739f4af7520","year":2002},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.517982Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:07063b7c94f180ede956a22fa0c2424717d02737f27294ba8a447f439f9250db","observation_id":"bfb44ade-dca5-4d42-a279-5d8fa58e6402","resolution":{"observed_at":"2026-08-12T10:45:39.926886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.910560Z","title":"Coolsaet, S","venue":null,"work_id":"22322ae0-f99f-451f-8580-91701b7d6c88","year":2023},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.521995Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:a0658ee4450ed1894bbdbfd59346c930f07ea343be4be98ed4cff85d145aaf8f","observation_id":"bdd82769-5060-4608-856f-07ba0eeefb11","resolution":{"observed_at":"2026-08-12T10:45:39.914701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.898474Z","title":"Erd˝ os and H","venue":null,"work_id":"5c7fd357-1a3a-425f-8bbb-35f57d597ce3","year":1963},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.526357Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:d2b911a231fb4e8e53f8dd6146a533e0fed60094a003df1efbfa34b8de6e93ff","observation_id":"4cafafbb-f06f-4670-a8ab-7f70297e702b","resolution":{"observed_at":"2026-08-12T10:45:39.902439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.885790Z","title":null,"venue":null,"work_id":"4a60ff53-7a3c-4963-813d-a907ab98b58c","year":2002},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.530084Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:e887be560bc3ea28996f665e84a805656b1a9a91135d1eb6c8c6d71f644641a3","observation_id":"6c61499d-0523-4d87-80ef-0e452c3f4ea8","resolution":{"observed_at":"2026-08-12T10:45:39.890332Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.874017Z","title":"Exoo and R","venue":null,"work_id":"14e4aab3-4c67-4386-becd-ae88e8ab7a1d","year":2013},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.533992Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:10e77bc0af74d7adba60f76717c126f1dc9472f3216423af72bff394655304cb","observation_id":"b32e3149-4796-48ab-bf19-0273184b15cd","resolution":{"observed_at":"2026-08-12T10:45:39.877992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.862896Z","title":"Exoo and R","venue":null,"work_id":"71afd6ce-8133-4f4e-abbc-51a9be07ced4","year":2011},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.537855Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:5e74516ef08dac20c565ded882932db1ff03ec5979513af7d955af0de1cac77e","observation_id":"0f6b4573-5a9b-40ec-beee-37bab98794c4","resolution":{"observed_at":"2026-08-12T10:45:39.866623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.851326Z","title":null,"venue":null,"work_id":"d2f5f89a-02c4-439e-86f3-b5f5d2436cfa","year":1997},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.542403Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:c4ba1d5143e732f04fce6814484f3b02f2aa8386d4ec628ba76cc9d8f1d497d2","observation_id":"f8cad523-8083-4213-8345-e47cdc657780","resolution":{"observed_at":"2026-08-12T10:45:39.855555Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.839389Z","title":"Goedgebeur and J","venue":null,"work_id":"b3e23972-bd9c-4433-a1ad-f2654c8be068","year":2025},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.546013Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:cbce806d3bc2d8794ddb7c9c98ee0607501b2da380956decb756a52086760744","observation_id":"5d855d38-d75a-4379-91fb-106db0aac29c","resolution":{"observed_at":"2026-08-12T10:45:39.843599Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2411.17351","last_updated":"2024-11-26T11:53:11Z","snapshot_observed_at":"2026-08-12T12:10:44.212130Z","submitted_at":"2024-11-26T11:53:11Z","title":"Computational methods for finding bi-regular cages","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.17351","snapshot_observed_at":"2026-08-12T10:45:39.549835Z","title":"Goedgebeur, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.549835Z"},"links":{"cited_paper":"/paper/2411.17351","citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:6f40c42853f19535976aefbdf57a157798977ada8600d237e9dab71a7d067f35","observation_id":"b3e7d7ed-edc4-4bc5-b965-4f93e1e8d421","resolution":{"observed_at":"2026-08-12T10:45:39.549835Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.826750Z","title":null,"venue":null,"work_id":"ac4a3c58-daf0-4ea8-8a34-c6d0b148d68b","year":2001},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.554255Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:f2d28c2526ed6552ba26912f5247ec43f4f72f3c84cdbca7b309dafb4dc04499","observation_id":"3c850297-a574-486e-b3cc-d0709f8a9288","resolution":{"observed_at":"2026-08-12T10:45:39.830848Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.813986Z","title":"Harary and P","venue":null,"work_id":"c565c543-acd5-4e8e-8c1c-ce7cb2cd1318","year":1983},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.558146Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:2372615b96b25f8956df7d37ec53889395dacf183aa626eae3594d302298a15b","observation_id":"7236789b-f67d-4df2-8bd8-2caa76ac26ed","resolution":{"observed_at":"2026-08-12T10:45:39.818148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2408.14557","last_updated":"2024-08-26T18:16:17Z","snapshot_observed_at":"2026-08-12T22:57:09.723351Z","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":"2026-08-12T10:45:39.561767Z","title":"Jajcay, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.561767Z"},"links":{"cited_paper":"/paper/2408.14557","citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:06f18a5e900762e846f58c8c208d8e9813acd0383d504593cf502a0dac9a67b2","observation_id":"e2e06330-e586-428a-a9d3-a99b91f28ffb","resolution":{"observed_at":"2026-08-12T10:45:39.561767Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.800635Z","title":null,"venue":null,"work_id":"5b74990f-1612-45c0-9977-d414ef335186","year":1998},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.566000Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:db6f398c5c998eb1e92c3f5efdfc14d402712fdcffd25f7cdd6e1fa66d4f417d","observation_id":"382bd75c-caff-467b-83a0-d0ecde17b85a","resolution":{"observed_at":"2026-08-12T10:45:39.805334Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.788120Z","title":null,"venue":null,"work_id":"33ca7b71-92f6-48dc-9f5a-2b2757d2e909","year":2014},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.569818Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:256382e84c2cf29e43be40034a3e3635105bb1d21c330d6a20e3c8a699d0b07d","observation_id":"2e7a35cf-a398-4226-a88b-200f90e2b0ae","resolution":{"observed_at":"2026-08-12T10:45:39.792202Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.776235Z","title":"Meringer","venue":null,"work_id":"19599a14-9110-421a-aac1-6aaf736fb063","year":1999},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.573932Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:56f54da8bfd80dbfa01d67d95e431c1c3d1deafafcd7b0687a891878ca3da3ed","observation_id":"3a4dd1cc-d0cd-4253-ba75-473bf2a22a8b","resolution":{"observed_at":"2026-08-12T10:45:39.780115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.763860Z","title":"Sequence A006821 in the on-line encyclopedia of integer sequences","venue":null,"work_id":"4401b2f5-bcca-483c-9c4b-c8b1d038c1de","year":2024},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.577773Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:89464becf960941a7e7092d756cb665010127825e6852205f9eca9632d7a54b8","observation_id":"44cf6a71-6678-45e5-869b-27c57d70e454","resolution":{"observed_at":"2026-08-12T10:45:39.768164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.751715Z","title":"Census of pentavalent arc-transitive graphs","venue":null,"work_id":"2367f6bb-d218-4f1d-b025-6b5ef6f5cf3d","year":2024},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.581340Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:b0f125d860893df2d9d6dd773e65b1b22e97363c4af872322c931372055201a7","observation_id":"73bc38ac-29dd-447b-a06b-bef1783d0d66","resolution":{"observed_at":"2026-08-12T10:45:39.756118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.739544Z","title":"Potoˇ cnik","venue":null,"work_id":"10df2481-58ee-41ad-841d-ec6c18feb6de","year":2009},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.585449Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:7c355df1374fb2bccf6bb6b15f4a36dbebeeb08b11fd39907c5f3f37094e5c19","observation_id":"997fe63b-ad49-47ba-9a6b-c6d4eb015fe6","resolution":{"observed_at":"2026-08-12T10:45:39.743530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.726094Z","title":"Potoˇ cnik, P","venue":null,"work_id":"e96506b3-e71f-406a-bb37-12b8cfda8298","year":2013},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.589190Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:58827643f1baebd0c668abf77abe2e5e944bc82a69c7ddbe935f5d5120ecc3a1","observation_id":"f490ecfa-b337-48f1-85ed-471cafd370d8","resolution":{"observed_at":"2026-08-12T10:45:39.730356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.711597Z","title":"Potoˇ cnik, P","venue":null,"work_id":"31abdb62-bc77-429a-8453-e56e5f565979","year":2015},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.592730Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:439c180dace99e0db072aa03538e5d52c22e3037e03013b1c778d431ae4ff9a4","observation_id":"ee41ed37-4965-4907-a2d2-c8ab8d2cf35a","resolution":{"observed_at":"2026-08-12T10:45:39.716030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.697305Z","title":null,"venue":null,"work_id":"44d1c18f-7d8e-46d0-874b-9114a1dcda20","year":1967},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.596328Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:27ff81d0e5494106f02a3e010700f93e4396e853070b8e33f502591212655b9e","observation_id":"8280a525-6306-48a0-80a4-bd18e95704aa","resolution":{"observed_at":"2026-08-12T10:45:39.701657Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.683256Z","title":"Wilson and P","venue":null,"work_id":"4e14577d-94ab-4061-b8b7-75696ccaf16d","year":2020},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.599957Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:46ee19da601f94ca9550ccd25b8917509aee2e45439298dd5db528a192e7aea3","observation_id":"890ddf54-607f-4be0-8906-29dfbf9d6fa6","resolution":{"observed_at":"2026-08-12T10:45:39.687464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:45:39.665949Z","title":"All the above considerations make it possible to compute nKloop 1,3 (3, g, g+ 1) much more efficiently than n(3, g, g+ 1) can be computed","venue":null,"work_id":"d335b84a-0e62-4847-a207-4f89fff14c41","year":null},"citing_paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T10:45:39.604175Z"},"links":{"citing_paper":"/paper/2411.19023"},"observation_digest":"sha256:6f178890e80f5f2b004d99b9d4753258a9b9711b0c68a4a97d4a259f5544a31b","observation_id":"fae55fed-2592-4548-8f87-a48558d265a6","resolution":{"observed_at":"2026-08-12T10:45:39.672738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2411.19023","last_updated":"2025-07-30T08:30:38Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T10:34:50.462462Z","submitted_at":"2024-11-28T09:53:40Z","title":"On $(k,g)$-Graphs without $(g+1)$-Cycles"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":19},"total_outbound_references":29},"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 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2411.19023."}