{"as_of":"2026-08-16T04:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b9aca09fb7921505508f4d5d751bd36ed301c41822dd3706386f430ddb8e018","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:54:53.783488Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/1908.02803/citation-record","integrity":"/paper/1908.02803/integrity","json":"/paper/1908.02803/citation-record.json","paper":"/paper/1908.02803"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:54:54.047550Z","title":"Let T = Spec(A) be the spectrum of a DVR with uniformizer t , fraction field η = Frac(A), and residue field κ = A/t","venue":null,"work_id":"77d62dd2-928a-4335-b785-aad922771c1d","year":null},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.711204Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:ac3fcb42a23e116cba0e44b99af3718e68f14f5f2d007d83aef63b6916f4f0f1","observation_id":"9836a2d0-3c0d-4482-b9ff-66e27ca99d77","resolution":{"observed_at":"2026-08-14T14:54:54.052634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:54.082232Z","title":"how irrational","venue":null,"work_id":"da9555a6-cf42-41b2-a1c2-e9b3142eefe4","year":null},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.700598Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:e6be8dcc456892b0e609ad9770bc6508fc638357804e5ddfb81450f5564ec017","observation_id":"e7ab9662-0ef0-47ce-aa50-270cd7b1ffae","resolution":{"observed_at":"2026-08-14T14:54:54.087618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.997239Z","title":"B/i.sc/r.sc/k.sc/a.sc/r.sc, The Iitaka conjecture C n,m in dimension six, Compositio Mathematica, 145 (2009), pp","venue":null,"work_id":"45df0ae1-c438-4275-bd4e-986ce828146a","year":2009},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.731028Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:0399d15cb265f2adac75fba9725b5b6ebaf28bf6129906881d9cd898e3ae5549","observation_id":"1494c94f-f3c9-462a-8d64-abcbd87ec6f1","resolution":{"observed_at":"2026-08-14T14:54:54.002265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:54.021694Z","title":"For a hypersurface X ⊂ Pn+1 of degree d , recall from the introduction that the codegree of X is e := n + 2 − d","venue":null,"work_id":"26caa55a-9007-403c-94cb-2fbb2af2d81b","year":null},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.716107Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:092c0370c45f4daf6ef7d925b58d7c733a53ed54055459c77d04bca3dcdf2162","observation_id":"006280c5-4a8b-4555-b668-d1f057281916","resolution":{"observed_at":"2026-08-14T14:54:54.032290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:54.009817Z","title":"B/a.sc/s.sc/t.sc/i.sc/a.sc/n.sc/e.sc/l.sc/l.sc/i.sc, P","venue":null,"work_id":"ec7187b2-6b91-446c-8908-a887020d23ec","year":2017},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.721488Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:2842303b0030a360de7a52b3353353f8265953bba6388dede5a3c6ab2d508f2f","observation_id":"94967b9a-9348-4441-9c12-7418421f7837","resolution":{"observed_at":"2026-08-14T14:54:54.013743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.02481","last_updated":"2020-10-14T17:34:24Z","snapshot_observed_at":"2026-08-14T17:06:26.943258Z","submitted_at":"2019-03-06T16:26:53Z","title":"Linear subspaces of hypersurfaces","version":2},"cited_work":{"arxiv_id":"1903.02481","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.02481","snapshot_observed_at":"2026-08-14T14:54:53.851305Z","title":"Linear subspaces of hypersurfaces","venue":"math.AG","work_id":"036a1352-6d7a-46ce-8b2f-d76e17fcc80b","year":2019},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.725666Z"},"links":{"cited_paper":"/paper/1903.02481","citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:d645ad7ad697fc6ccb7b21caebabf948b8c325a72cd3d6d76ce5b024c265685b","observation_id":"11e651a1-ff53-46e6-b21e-2e9f247258bd","resolution":{"observed_at":"2026-08-14T14:54:53.858811Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:54.064228Z","title":"Nicaise and Shind er [ 12] (resp","venue":null,"work_id":"eb06d66e-056a-4135-8d55-4d4b8efca671","year":null},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.706564Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:4ae40b3952c17bca2bb4bfba25eb599b43f6dfb41b6656129bc1baaa95fb6064","observation_id":"b21748b6-4779-40fe-8777-04eb0583dba1","resolution":{"observed_at":"2026-08-14T14:54:54.070957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.05645","last_updated":"2019-02-15T00:02:00Z","snapshot_observed_at":"2026-08-14T17:16:06.385258Z","submitted_at":"2019-02-15T00:02:00Z","title":"Degree of irrationality of very general abelian surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.05645","snapshot_observed_at":"2026-08-14T14:54:53.736409Z","title":"C/h.sc/e.sc/n.sc, Degree of irrationality of very general abelian surfaces , arXiv:1902.05645, (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.736409Z"},"links":{"cited_paper":"/paper/1902.05645","citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:3ed4789f9b87399ebbdc62a69cfdd4c508af7fc272c27b96f911e8dcd430afdb","observation_id":"ea3142cd-efd9-4c27-bcbe-f7573ecd748e","resolution":{"observed_at":"2026-08-14T14:54:53.736409Z","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":"2026-08-14T14:54:53.985947Z","title":null,"venue":null,"work_id":"bb3b747b-ecff-42d6-9b9a-ab5ec32449d8","year":2004},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.740717Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:e7bc28eb7cf9a90b0ee17202d96c708c9ef9d9b58d9255db3bee48a8990ad423","observation_id":"0cc84db1-07ad-4374-b3bc-48da211ccec0","resolution":{"observed_at":"2026-08-14T14:54:53.989556Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.973507Z","title":null,"venue":null,"work_id":"ee3b120f-936c-43ef-99bb-85a97bc893e3","year":2008},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.745313Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:f7618aa7eb99132fa60116843a4925f5b097c03050245095b7f9a389723ec118","observation_id":"1441acd3-9418-4f0b-acb0-9e13fbc45a83","resolution":{"observed_at":"2026-08-14T14:54:53.977457Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.960149Z","title":"H/a.sc/s.sc/s.sc/e.sc/t.sc/t.sc, A","venue":null,"work_id":"59d830d9-a949-49d2-99d9-1c541ad31d6b","year":2018},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.750444Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:a840352e82ff5adf39055282c5a2e40a8af967519b35f52382ca5f293c913bb8","observation_id":"30bcdf43-60ee-441d-ac9c-44e0610f8d91","resolution":{"observed_at":"2026-08-14T14:54:53.965006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.947247Z","title":"K/o.sc/l.sc/l.sc/aacute.sc/r.sc, Nonrational hypersurfaces, J","venue":null,"work_id":"c73e1fff-0ede-4122-8067-fb99567baeae","year":1995},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.755184Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:7bf14f07e4857c92b8c7f5fb133654e3dd3673160d06b4b6900247d4791e6111","observation_id":"5f6d99c9-1d0c-46c3-ad0f-03afa3544688","resolution":{"observed_at":"2026-08-14T14:54:53.951340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.932260Z","title":"32 of Ergebnisse der Mathematik und ihrer Grenzgebiet e, Springer-V erlag, Berlin, 1996","venue":null,"work_id":"2c1b4e06-12e1-4171-a9e1-826bcf74ba20","year":1996},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.760189Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:8e98e84d6eb3870b5fc2d9a89b4cab994b61877ce7640f4c2604fa9c629b94cf","observation_id":"19c94794-4cfa-4261-904f-a98a39f95ed2","resolution":{"observed_at":"2026-08-14T14:54:53.938219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.919603Z","title":"200, Cambridge University Press, 2013","venue":null,"work_id":"4d1b0936-dde4-41f7-8d96-9dbdeb7a96e1","year":2013},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.764803Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:60af95bf94a0a0fc2cb9a3ff1c174d476343aae00493a5fea3c832f805b2bcd5","observation_id":"6f00278c-458c-4fc5-9e08-d59bdc001bbd","resolution":{"observed_at":"2026-08-14T14:54:53.923720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.908455Z","title":"K/o.sc/n.sc/t.sc/s.sc/e.sc/v.sc/i.sc/c.sc/h.sc /a.sc/n.sc/d.sc Y","venue":null,"work_id":"7d8796fc-cf83-48fb-b37d-4b6757ba1e51","year":2019},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.768811Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:ef910aa77f3c464f3dd8dd6968319d8476f9a36da23cd53dfe4c1c6c9213b12d","observation_id":"cae74979-85dd-4ca5-9d2b-668871099171","resolution":{"observed_at":"2026-08-14T14:54:53.912561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.897143Z","title":"N/i.sc/c.sc/a.sc/i.sc/s.sc/e.sc /a.sc/n.sc/d.sc E","venue":null,"work_id":"829f8a24-e080-48f8-823d-765fbbd836e8","year":2019},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.772589Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:aecf9ed02cc2e4314ddee21e478e706cf6af81a253339519550b2ac4d603daa8","observation_id":"60135f18-2497-4237-a65d-84c4e562dcdd","resolution":{"observed_at":"2026-08-14T14:54:53.901054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.05397","last_updated":"2019-10-21T18:16:00Z","snapshot_observed_at":"2026-08-14T19:54:37.422277Z","submitted_at":"2018-01-16T18:24:05Z","title":"Stably irrational hypersurfaces of small slopes","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.05397","snapshot_observed_at":"2026-08-14T14:54:53.776143Z","title":"S/c.sc/h.sc/r.sc/e.sc/i.sc/e.sc/d.sc/e.sc/r.sc, Stably irrational hypersurfaces of small slopes , arXiv:1801.05397, (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.776143Z"},"links":{"cited_paper":"/paper/1801.05397","citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:46ba6a0480b96acc7456cf8bb0d3657d20419e214a8a4868815ae22568949743","observation_id":"f040e894-22dc-4b62-a030-cb8d4debba55","resolution":{"observed_at":"2026-08-14T14:54:53.776143Z","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":"2026-08-14T14:54:53.884850Z","title":"T/o.sc/t.sc/a.sc/r.sc/o.sc, Hypersurfaces that are not stably rational , J","venue":null,"work_id":"bbd57c48-d797-42a6-88cf-22b93e8dd68a","year":2016},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.780040Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:e36248381c955944a9e5e7a082e95b2c3c513340abd523d02e6f909975fe2e85","observation_id":"ddf75dcc-4f7c-4224-b3c4-07475fb79cb4","resolution":{"observed_at":"2026-08-14T14:54:53.889542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T14:54:53.872450Z","title":"V/i.sc/a.sc/l.sc, Algebraic cycles and fibrations , Doc","venue":null,"work_id":"1b61c138-a2c9-4212-8275-67967b3e76a2","year":2013},"citing_paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:54:53.783488Z"},"links":{"citing_paper":"/paper/1908.02803"},"observation_digest":"sha256:60c69f072b55dadce125ad729480dddf7152a3ad375685cdda08687d39093f49","observation_id":"8c97b711-0e0a-4d4f-afaa-7652af9a301c","resolution":{"observed_at":"2026-08-14T14:54:53.877354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02803","last_updated":"2019-08-07T19:14:40Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T03:36:53.570812Z","submitted_at":"2019-08-07T19:14:40Z","title":"Fano hypersurfaces with arbitrarily large degrees of irrationality"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":19},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.02803."}