{"as_of":"2026-08-20T11:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:77318f745a6dbf168fbe89667cd0eb3a56bf07df9ad999f140c7a79fd4d12bef","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:27:12.936847Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.17628/citation-record","integrity":"/paper/2506.17628/integrity","json":"/paper/2506.17628/citation-record.json","paper":"/paper/2506.17628"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:27:13.365410Z","title":null,"venue":null,"work_id":"e3e3d33f-a364-4a92-99fa-59139616312d","year":2020},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.818215Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:8cf012d6945f3518065c182979f611aaafb5fa956bd71a205562937ebd2145ce","observation_id":"1d1d5b55-9afd-4c8d-a663-08372c2d89d3","resolution":{"observed_at":"2026-08-15T19:27:13.369962Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.350822Z","title":"Brualdi and H","venue":null,"work_id":"cb7b14cf-00b7-4fe3-ad66-7b1da2143404","year":1983},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.823876Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:bb15fe933f0ed7078ef8d2a162e756f8d90b34e15fcf8a20b5ab15b213ddd605","observation_id":"6b867850-fd6c-4434-9ba0-4f8f7578289a","resolution":{"observed_at":"2026-08-15T19:27:13.355325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.335485Z","title":"Chang, K","venue":null,"work_id":"54c0a8a3-3e11-45f1-9306-f8bebdf34cc3","year":2008},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.828707Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:254b16c2fa4ef05892d141684ac04e8392a00f94cbe7c7c0d9fc301627f52b35","observation_id":"9cda663e-415c-4f14-bbef-539f04a0a046","resolution":{"observed_at":"2026-08-15T19:27:13.340554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.320402Z","title":"Chen and C","venue":null,"work_id":"5bc42455-60dc-46fc-ab25-3f7a91eb26bd","year":2021},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.833588Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:a5e2af428300e3fb4fd10fa6bdab8dd4adfe7e3406ac38b7c74eabcdc2c7646a","observation_id":"9cece4c8-9f23-4bba-be04-b130360c7898","resolution":{"observed_at":"2026-08-15T19:27:13.325033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.305269Z","title":"Chen and C","venue":null,"work_id":"5597697d-bd4a-4927-aaf0-5f6eccc47f0d","year":2024},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.838432Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:9ef4d6eb2f9223107a4c087a431a8f252458c64b2e139a53fc4263ddaa82d2a5","observation_id":"4e00336f-dcf0-4f78-b8e1-bcc0d6477455","resolution":{"observed_at":"2026-08-15T19:27:13.310244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.290184Z","title":"Chen, E.R","venue":null,"work_id":"28b4a75b-528d-4df7-b6ac-d831cf3bcf64","year":2024},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.843223Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:10fbe6a8d39c8274a416bf31a35e87d95ab4f8a707642690311326e86b98ed5e","observation_id":"77fdf2d1-2505-442d-b5f4-ac2bce587bd6","resolution":{"observed_at":"2026-08-15T19:27:13.294605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.274894Z","title":"Clark and J","venue":null,"work_id":"0603bee9-aa8e-42d9-9a8b-91dd427ba5b5","year":2021},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.848595Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:5fe8ce870a96617415a0321a976f400eb59d79e4ab89bbd47e235b89a430cfc8","observation_id":"dcf11762-b39c-4238-aac3-fcfe26a3103b","resolution":{"observed_at":"2026-08-15T19:27:13.279620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.260063Z","title":"Cooper and A","venue":null,"work_id":"7a38cf05-c304-4b5b-b344-ba0444288326","year":2012},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.853185Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:815b8b550cecb5a0154db0cb96bdac3202e4600e35759e2936223a4e84864e22","observation_id":"3b452973-a436-43ea-a5da-6e8c3524adc3","resolution":{"observed_at":"2026-08-15T19:27:13.264815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.244818Z","title":"Cooper and A","venue":null,"work_id":"f5eba0ac-8149-4c69-b1f2-8d4426135f93","year":2015},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.857730Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:04f7c91f3c82ba84b0b1f8f73cf070ffedb3806adff137cb214cb8aace1aa524","observation_id":"416cfae5-0224-4bec-840c-dac19116dc4a","resolution":{"observed_at":"2026-08-15T19:27:13.249705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.229371Z","title":null,"venue":null,"work_id":"65bd516d-3f7e-46e2-8a97-0512892b8fa4","year":2005},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.862263Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:e5803a9740cf0c9355c1db639a346cc95fa7409c175d608364533530dd423a49","observation_id":"2da5b7ee-7501-4f22-907a-165f377b35a6","resolution":{"observed_at":"2026-08-15T19:27:13.234541Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.213901Z","title":"Cvetkovi´ c, M","venue":null,"work_id":"9a4c0098-1210-4b9d-8391-873275e5665d","year":1980},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.866741Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:19cd28a62c13054b17dc9026320f88cd421605937acdbd71320972bfb0e6f67c","observation_id":"85339455-111a-4ba0-be66-26188c2046f4","resolution":{"observed_at":"2026-08-15T19:27:13.218643Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.198637Z","title":"Duval, C","venue":null,"work_id":"d2f5468e-7c4b-439e-b030-af335de2260a","year":2009},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.871470Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:7bc37d587cb12a52860db033aa96a7247802ea68a9f6f64afed27f4b3d47f60d","observation_id":"b0ec7bbd-da76-4ff7-a578-3ac0708ec2be","resolution":{"observed_at":"2026-08-15T19:27:13.203511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.20830","last_updated":"2026-08-13T03:43:45Z","snapshot_observed_at":"2026-08-16T23:09:01.325571Z","submitted_at":"2024-10-28T08:28:50Z","title":"The multiplicity of eigenvalues of nonnegative tensors and hypergraphs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.20830","snapshot_observed_at":"2026-08-15T19:27:12.875942Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.875942Z"},"links":{"cited_paper":"/paper/2410.20830","citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:a1a0a80ec932e87ae16810ebbd99758f0b824764f2df61253a30070d8cd0593e","observation_id":"360e9bc0-d3aa-4907-9e9f-9a186e76fee2","resolution":{"observed_at":"2026-08-15T19:27:12.875942Z","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":"2026-08-15T19:27:13.183443Z","title":"Hillar and L","venue":null,"work_id":"c7cddf6c-ab62-498e-a503-d474a95ea75f","year":2013},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.881016Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:e3e38a0072e35147d6bdbf69c7cdbd486704bafbdc78437f198ac0fbd2363306","observation_id":"74d6858b-1a8b-45f7-852f-9638955df818","resolution":{"observed_at":"2026-08-15T19:27:13.188154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.166950Z","title":null,"venue":null,"work_id":"baf22ec9-7c38-4eff-8389-ee9175a9b2f0","year":2013},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.885444Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:e5cabc7dd4880c998b4321de033af6e7097d9cac1b1d8f1c972929c59fe32a8f","observation_id":"f84cb2fb-84f0-48a3-ad35-8fe851f7e6fe","resolution":{"observed_at":"2026-08-15T19:27:13.172060Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.151453Z","title":null,"venue":null,"work_id":"629056a4-9335-444a-94e8-59e41744eed9","year":2013},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.889860Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:1a3efc3b87afe256651df1bb6fbb4d585bda2ed7e8ff80c26ddcbe9238b0be52","observation_id":"76148d21-1874-4fa3-9798-d77aa2be316f","resolution":{"observed_at":"2026-08-15T19:27:13.156292Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.135624Z","title":"Jouanolou","venue":null,"work_id":"73dbf92e-f1ef-4a2d-ba5c-8ce95e4a7302","year":1991},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.894518Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:cbc51765b60ab048b97c17f796be86dae1adc59326fcddbf26092b11c6aaf62a","observation_id":"552e81e5-4cdd-43db-94cc-929aabdeee82","resolution":{"observed_at":"2026-08-15T19:27:13.140631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.120026Z","title":null,"venue":null,"work_id":"10007b13-765d-44ab-910b-9450f938a2c1","year":2024},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.898894Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:d12009311d0ebf8ca623844eae676b1ae66ea42b5e0452a4d32e42a96848456f","observation_id":"d0b36440-62b6-4089-8a7f-6f458073c3b9","resolution":{"observed_at":"2026-08-15T19:27:13.124949Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.104466Z","title":null,"venue":null,"work_id":"59e9d946-cf22-4505-82fb-949ff6f48049","year":2005},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.903396Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:8d9c9fdf2bed3ca2dc28e3e6add4391098fc5eeea446d847580aaf17da3d1a1a","observation_id":"17c31ffb-6a62-43db-bda4-cca2a681cfa2","resolution":{"observed_at":"2026-08-15T19:27:13.109298Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.088687Z","title":"Macaulay","venue":null,"work_id":"f724b15c-be1e-4ba4-9cbc-6df7d37b7c8e","year":1902},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.907877Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:4a6bb8c20cf5321954b9c8b58db74122b6239544c1bb6e35fe2dbe35d04bada2","observation_id":"b9490367-dcca-4299-a2ef-7bfbc17ce578","resolution":{"observed_at":"2026-08-15T19:27:13.093403Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.072357Z","title":"Morozov and Sh","venue":null,"work_id":"7c666dca-e100-432c-b6db-80754d471ecc","year":2011},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.912605Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:3452f890145e231545ccd5fddf1d91edb68f969705f0e531e8b5c1018d7005c9","observation_id":"05d9376d-a248-47b8-9356-ecc66caa9325","resolution":{"observed_at":"2026-08-15T19:27:13.077694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.056119Z","title":null,"venue":null,"work_id":"ce4281fa-cf75-4631-8254-4e4346660a6a","year":2005},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.917354Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:cf3d29a1018a1d3a8a5548affcc4d589b4428249746ed305ef15833d6e5c98de","observation_id":"10b369fa-de2b-4f49-ac15-1eab53789ed1","resolution":{"observed_at":"2026-08-15T19:27:13.060689Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.039906Z","title":null,"venue":null,"work_id":"bbb089ad-74c4-46d1-b33c-86619104b4d4","year":2014},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.922325Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:329408280e45e2b5c0ff6fe550e1098d35f2acc2e91dca2eb6e78f8bf7fab9ce","observation_id":"13a15757-4a09-4c2b-a0d0-1af0fdee1fdf","resolution":{"observed_at":"2026-08-15T19:27:13.044824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.022668Z","title":null,"venue":null,"work_id":"6b21c149-67ff-45ca-b704-fd82881779a5","year":2015},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.927049Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:8c86e2a5a2dc47b55b4a04dbea4292b4486935e0e16da1ce9ddc8a133354eaa7","observation_id":"68026ae6-b3e7-489c-98d8-15721096e76c","resolution":{"observed_at":"2026-08-15T19:27:13.028680Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:13.005110Z","title":"Stanley.Enumerative Combinatorics","venue":null,"work_id":"482fafe6-e48e-44b7-8fbd-e2809833c9a3","year":2012},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.931837Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:7ed9083f606d0c5ac126958c7e011e0ae1503fda0bb241144c5bc234ded9cf74","observation_id":"ca09ba3b-1c55-4b66-9dcb-e73124a483de","resolution":{"observed_at":"2026-08-15T19:27:13.010428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:27:12.987122Z","title":null,"venue":null,"work_id":"dd55d3d5-8a18-4ed7-ab00-fc93ddc6af76","year":2021},"citing_paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T19:27:12.936847Z"},"links":{"citing_paper":"/paper/2506.17628"},"observation_digest":"sha256:f17c2ddc794cf258d541afeaad0f92defa268870ecd769dd66e14479c81d9949","observation_id":"74f8c36c-72e5-47b9-bf68-d18b81c90349","resolution":{"observed_at":"2026-08-15T19:27:12.992954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.17628","last_updated":"2025-06-21T08:10:54Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T19:05:19.255291Z","submitted_at":"2025-06-21T08:10:54Z","title":"The characteristic polynomial of sunflowers"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":15},"total_outbound_references":26},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.17628."}