{"as_of":"2026-08-16T13:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2b63ef73c8ab4a72701d566534d22b93b933ab6863aafe18147345d78f249149","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T06:26:23.956757Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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":"2026-05-24T09:13:39.455875Z","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":"2026-05-24T09:14:16.256495Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"cited_work":{"arxiv_id":"1909.00135","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1909.00135","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dietmann, A","venue":null,"work_id":"0b564c34-5e9e-49df-a2c1-873e18b5589c","year":1909},"citing_paper":{"arxiv_id":"2304.11991","last_updated":"2026-04-03T09:20:26Z","snapshot_observed_at":"2026-08-13T14:57:00.957201Z","submitted_at":"2023-04-24T10:51:18Z","title":"Enumerative Galois theory for number fields","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T09:13:39.455875Z"},"links":{"cited_paper":"/paper/1909.00135","citing_paper":"/paper/2304.11991"},"observation_digest":"sha256:80ab010fb589ed8c186d8a0090784f93dc74a4ad9b2c884476ce4522ddd7e08c","observation_id":"a1d63d25-29f6-4cef-b1e3-519dbac7d913","resolution":{"observed_at":"2026-05-24T09:14:16.259188Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.00135/citation-record","integrity":"/paper/1909.00135/integrity","json":"/paper/1909.00135/citation-record.json","paper":"/paper/1909.00135"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T06:26:24.352469Z","title":null,"venue":null,"work_id":"a2e3f879-2786-498b-9650-540950c5baed","year":2007},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.834683Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:7bb5105509e8a5fd7e10d3e817088e6a52da477a5bea51afac388f54e9a627a5","observation_id":"10d54ee5-906c-4c49-831a-a7dbfc091f3f","resolution":{"observed_at":"2026-08-14T06:26:24.356316Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.341460Z","title":"Belabas, M","venue":null,"work_id":"daa71186-e8ff-4e78-a2e8-53479052bbd2","year":2010},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.839706Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:d1a09b88dc230005b8eff1c4010b9b6372e079ad6db0b6a4d7ec828229a9848f","observation_id":"a4cff8ea-a569-4b34-948a-fec2038865eb","resolution":{"observed_at":"2026-08-14T06:26:24.345165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.09806","last_updated":"2021-12-31T21:52:02Z","snapshot_observed_at":"2026-08-14T21:28:01.581927Z","submitted_at":"2016-11-29T19:46:08Z","title":"Squarefree values of polynomial discriminants I","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.09806","snapshot_observed_at":"2026-08-14T06:26:23.843879Z","title":"Bhargava, A","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.843879Z"},"links":{"cited_paper":"/paper/1611.09806","citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:e5120bfdc3b21936b8f5473e79da550640064cfcea5848f56952e1bc3435bd34","observation_id":"c774f5db-8a6a-473d-a68c-cf40a423ae34","resolution":{"observed_at":"2026-08-14T06:26:23.843879Z","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":"2026-08-14T06:26:24.329919Z","title":"Bombieri and J","venue":null,"work_id":"98dcb757-7533-4e81-8760-1162ab69e09f","year":1989},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.848262Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:c21f4bf34f026cb15e4fe009f2156b0d12dafb88ff7a83c679968066e78ebb8a","observation_id":"b17104c6-4c89-4f83-b652-b84a3828df40","resolution":{"observed_at":"2026-08-14T06:26:24.334193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.317938Z","title":"Carmon and Z","venue":null,"work_id":"280284ae-5c39-4ecc-88d4-6b45964063dd","year":2014},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.852157Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:5bf242ffcf2e52ae6e5d86b9baf78a45366ec3f140d8fd0ff006f2ca296ed9da","observation_id":"00a5f087-2834-4d59-9f9c-7e0f9da6d8c5","resolution":{"observed_at":"2026-08-14T06:26:24.322719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.307297Z","title":"Chela, ‘Reducible polynomials’, J","venue":null,"work_id":"5e8836b4-cb62-4b1c-951a-04d5b2be3723","year":1963},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.855910Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:f06ec1c9faf82892184185d19dc49363ea5b54e6049c9337e7a31d7c3f6dc36b","observation_id":"37375ee2-90eb-4149-95a5-acc9c5d17c91","resolution":{"observed_at":"2026-08-14T06:26:24.311003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.296566Z","title":"Dalen, ‘On a theorem of Stickelberger’, Math","venue":null,"work_id":"f9ece8e1-9af0-4c28-9486-0f9855ef1b5a","year":1955},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.859932Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:9b1b32e67e3a10e3aef073da63f886ae21e031fd663fc85357218d303d8c49ee","observation_id":"14d6f356-55c7-4b5a-a98e-0635a04bb2e3","resolution":{"observed_at":"2026-08-14T06:26:24.300119Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.286025Z","title":"Dietmann, ‘On the distribution of Galois groups’, Mathematika, 58 (2012), 35–44","venue":null,"work_id":"323f7d46-7b9c-400c-8102-0079242a10c0","year":2012},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.863345Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:ac64c97e61f09429838493555639a7cdb0b864c31b62ee43666ccbb7e2e276f1","observation_id":"e51d55a9-9eed-4cb3-83ea-bfa677028b20","resolution":{"observed_at":"2026-08-14T06:26:24.289725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.275712Z","title":"Dietmann, ‘Probabilistic Galois theory’, Bull","venue":null,"work_id":"7d936a5f-fe5c-41fc-84c2-51d15a8bde32","year":2013},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.866786Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:4ed54d44479c5d65f1a0c7b88e995f38255bf0ca1a019c9937a9ac3a1813d2f4","observation_id":"aba1f0a3-8124-40dd-8250-f0fdd5d1b9f0","resolution":{"observed_at":"2026-08-14T06:26:24.279230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.265396Z","title":null,"venue":null,"work_id":"08b636c6-5ea3-4745-912c-ac32feabf407","year":2006},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.870355Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:b86bc9492a3e38e51e455764ee1fd8b1aa82fe0b088a0d204a90d4daacd545a3","observation_id":"888f3f72-eaf3-4d3e-bd06-83f8a4133edc","resolution":{"observed_at":"2026-08-14T06:26:24.269110Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.254767Z","title":null,"venue":null,"work_id":"5d6fb80c-d59a-461d-bebb-edb87fcec317","year":1984},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.873878Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:5efaac2de930faa1240d94d803566bad7419f46717130a307b106289ce8f94d6","observation_id":"cfeed26e-b03b-44f5-9100-d5e4a4ff8c1c","resolution":{"observed_at":"2026-08-14T06:26:24.258470Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.243663Z","title":null,"venue":null,"work_id":"960591c9-f607-4e00-82aa-8661ea77c506","year":2002},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.877528Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:67a1bc7552023bd36f7bae5a33f065aefaed98cb7cd51f3cccca8566c4c8b0f4","observation_id":"3255e713-ba61-4f42-b0fc-85253a5eae2f","resolution":{"observed_at":"2026-08-14T06:26:24.247575Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.233038Z","title":"Hering, ‘Seltenheit der Gleichungen mit Aﬀekt bei linearem Para meter’, Math","venue":null,"work_id":"d38dbea3-a9e0-4dd1-b3ff-0898775e5e4c","year":1970},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.880880Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:e7ca97774b8959dc4ef576cde542ebeac13059aa355596a842d8becff4072fef","observation_id":"2d269cd4-7fd5-4960-a4c4-84f8c1e9a0a5","resolution":{"observed_at":"2026-08-14T06:26:24.236659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.223032Z","title":"Hering, ‘ ¨Uber Koeﬃzientenbeschr¨ ankungen aﬀektloser Gleichungen’, Math","venue":null,"work_id":"71f4dddd-0c9b-4059-abe2-a09786bd2fc6","year":1972},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.884460Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:189ede84be04677b5d77cfb01c7c3e2e72345d74639f5c83efa0391327dea16a","observation_id":"9ad200e8-001c-41db-85e2-a18678487e69","resolution":{"observed_at":"2026-08-14T06:26:24.226477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.09793","last_updated":"2021-05-10T14:58:53Z","snapshot_observed_at":"2026-08-14T10:59:11.172218Z","submitted_at":"2019-08-26T16:51:29Z","title":"Monogenic fields arising from trinomials","version":2},"cited_work":{"arxiv_id":"1908.09793","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.09793","snapshot_observed_at":"2026-08-14T06:26:24.016248Z","title":"Monogenic fields arising from trinomials","venue":"math.NT","work_id":"68e60b7d-cdbe-43c8-99f6-a56d20380484","year":2019},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.888211Z"},"links":{"cited_paper":"/paper/1908.09793","citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:184f7b05fd3fd29cffa79e34835fedb73b09c3d8ba2e79eac87842f8cd0c3825","observation_id":"30a452cf-5d52-4a66-9c50-e4d7280b9ebc","resolution":{"observed_at":"2026-08-14T06:26:24.020225Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.211938Z","title":"Iwaniec and E","venue":null,"work_id":"f621e808-b24b-4c7e-bb7f-8bb06e019cea","year":2004},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.892103Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:b484def4643287409db793773f3cdb81365dc5928ed62f0fcbb376fe9f2e4563","observation_id":"9181eb2d-db24-4e4d-81d4-ead6573d1a5a","resolution":{"observed_at":"2026-08-14T06:26:24.215780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.07947","last_updated":"2021-07-31T13:04:35Z","snapshot_observed_at":"2026-08-16T10:56:53.365074Z","submitted_at":"2019-08-21T15:55:10Z","title":"Monogenic trinomials with non-squarefree discriminant","version":2},"cited_work":{"arxiv_id":"1908.07947","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.07947","snapshot_observed_at":"2026-08-14T06:26:23.998801Z","title":"Monogenic trinomials with non-squarefree discriminant","venue":"math.NT","work_id":"7b846083-f318-474d-9d99-625ccd2555be","year":2019},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.895708Z"},"links":{"cited_paper":"/paper/1908.07947","citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:d24afd02b0b5c768d7d2b311eeabf63e81ebb4115ce8613d50b2c4322c1c9827","observation_id":"0fdde6b0-c4d7-4430-b7f3-ed7faeb12c8d","resolution":{"observed_at":"2026-08-14T06:26:24.004506Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.201519Z","title":null,"venue":null,"work_id":"2b40ee17-10f2-4d1b-bd07-5fc0a5b917fe","year":2012},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.899542Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:ca8bd301784de42b5f3da90b41267bc81e231e81a5117c0303c76b3f548b5a67","observation_id":"51c253a8-5ba1-4346-b14e-4a63c6e0d0aa","resolution":{"observed_at":"2026-08-14T06:26:24.205175Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.190411Z","title":null,"venue":null,"work_id":"1185724f-a905-46ae-8430-9745d3a308f7","year":2011},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.902988Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:bb8fde981b75afd81e2bc74332d28f43e5b5d0262001cddeafb91cdba6b75d4e","observation_id":"c27aea9b-46e9-4efa-874a-ff97c0da6283","resolution":{"observed_at":"2026-08-14T06:26:24.194066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.179441Z","title":"Lang, Algebraic number theory , Springer, Berlin, 1970","venue":null,"work_id":"3e990e05-38bd-4aec-b88e-93dc589e10ec","year":1970},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.906672Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:ad356eee782530a797fd66afdd65ccfd34fe50c1eb841500bb628939651fd236","observation_id":"3439f573-030f-4c99-a670-7b8516d4212b","resolution":{"observed_at":"2026-08-14T06:26:24.183252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.169117Z","title":"Larson and L","venue":null,"work_id":"e5dbd0e7-6dab-4580-b154-a4b66fc23dff","year":2013},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.910142Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:2b2c03f60adf6cabcc00ad43e32fe9bddc5c2f275cce50fa55108f5ec46eee85","observation_id":"bc8955c5-0470-40f5-82c6-9c42f2e73092","resolution":{"observed_at":"2026-08-14T06:26:24.172774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.158550Z","title":null,"venue":null,"work_id":"c168f1a2-3d8b-4a00-8468-ef612d844883","year":null},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.913727Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:085e4fd337ad08c4eb61833776105e28c3d8a65b0012dfa965a3f777a8504b3c","observation_id":"9abe6e7c-ca03-4764-8ce1-c0094412a291","resolution":{"observed_at":"2026-08-14T06:26:24.162445Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.148230Z","title":"Mukhopadhyay, M","venue":null,"work_id":"bb3ffc71-70fa-44de-abe3-536fde27927f","year":2009},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.917488Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:56ab0aa258beb39b0f8c7306f6fc3505fc42ba2dc05ebe3ccf624b0ed62d00e8","observation_id":"b6ea0a48-44a7-4329-9957-e1231f97c6b9","resolution":{"observed_at":"2026-08-14T06:26:24.151772Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.138421Z","title":"Otake and T","venue":null,"work_id":"3e100b46-3160-4129-a7bd-a0115b1bc9de","year":2019},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.921227Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:f9b620d33d956b4cf15192f7810f6dba3e277b9404d0d295835754f14fdd4452","observation_id":"0293bf5e-2703-4429-8de9-1b179c6fd528","resolution":{"observed_at":"2026-08-14T06:26:24.141924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.128125Z","title":"Poonen, ‘Squarefree values of multivariable polynomials’, Duke Math","venue":null,"work_id":"2b2b19cc-c959-4e86-8e87-5b1314823505","year":2003},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.924593Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:e60b191e90c664fb7860be5c1b9403c334b3df99f076e08fec30bb4b04b54677","observation_id":"d75e191e-bf23-4170-92af-4a9566f5a6c5","resolution":{"observed_at":"2026-08-14T06:26:24.131634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.117175Z","title":"Rosen, Number theory in function ﬁelds , Springer, Berlin, 2002","venue":null,"work_id":"b47e28f8-7233-4994-8ca8-c4e088db1cd8","year":2002},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.928138Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:703aab3a75eb567ca999eadd2ed08bd9be528b52c587741c936cf82c3608bf9c","observation_id":"c20e2b93-fd01-4f6b-bc42-0f1a4dbcd5d7","resolution":{"observed_at":"2026-08-14T06:26:24.121245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.107033Z","title":"Salberger, P","venue":null,"work_id":"65392166-3a27-4ed9-b5ba-65906e823954","year":null},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.931608Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:ea2405a19110a4cee9268cbd2374d49146d5261b598505b7e1e2a0936ff693dd","observation_id":"ff5224c0-4d30-4383-8e4a-e86a97fe53ca","resolution":{"observed_at":"2026-08-14T06:26:24.110548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.095963Z","title":null,"venue":null,"work_id":"7d8557d7-3087-4d63-9c36-e80d24a0215d","year":1989},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.935240Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:2caec42ad1b4488b7f119c2694d165c5162489fb3aff340b22e2eb33f3dfbe5d","observation_id":"d22c5c21-8256-411b-919f-7ff67cf4b9f2","resolution":{"observed_at":"2026-08-14T06:26:24.099664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.084497Z","title":null,"venue":null,"work_id":"04b78cd6-036c-4b03-9033-1406ab74bf9b","year":2010},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.938664Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:515ffd7f7cf7ec43a8217ce43566e363bafc4be292bd2cf13f685413edada1a9","observation_id":"20ef8ae0-74b5-45a3-a240-eba970b4314e","resolution":{"observed_at":"2026-08-14T06:26:24.088242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.073542Z","title":null,"venue":null,"work_id":"a3a34cb8-769c-4723-b0c0-84154029ad4f","year":2015},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.942203Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:03c4b46acd5dd9f1087ab92955a51a509ec208fb4c16a6a7e878e57537d3fa44","observation_id":"3611f50e-8eb5-4f32-b831-3615118a5626","resolution":{"observed_at":"2026-08-14T06:26:24.077428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.062383Z","title":null,"venue":null,"work_id":"3da11002-467a-449a-a439-5fe7f843e8d9","year":1977},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.945819Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:367706b7fe3444717bcbb9f11554b0ea185d1c34570cbf1bdbcb180cffa10a6a","observation_id":"b15f7962-a9c4-4c36-b4a3-f2c8ceec51ca","resolution":{"observed_at":"2026-08-14T06:26:24.066167Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.049296Z","title":"Stickelberger, ‘ ¨Uber eine neue Eigenschaft der Diskriminanten algebrais- cher Zahlk¨ orper’,Verh","venue":null,"work_id":"7eeb3949-00da-414a-b28c-1a795b28b89f","year":null},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.949379Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:cc84e87ae695bb6722bcafa789c34edf07c730e049f5911cf690b3aface837be","observation_id":"c57a3203-dcda-453b-b20b-733c29607fe4","resolution":{"observed_at":"2026-08-14T06:26:24.054090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T06:26:24.038189Z","title":null,"venue":null,"work_id":"8ef7db8c-a3ad-4966-95b7-144738e8f096","year":1962},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.953102Z"},"links":{"citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:7f8104562b15606959db6e3db93f539c0995a1faaa916ddbc6fb2c9b4fe85ee7","observation_id":"50abcf3e-6610-4f99-9098-19e32376db0e","resolution":{"observed_at":"2026-08-14T06:26:24.041999Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1011.6465","last_updated":"2010-11-30T05:52:12Z","snapshot_observed_at":"2026-08-15T05:01:37.187977Z","submitted_at":"2010-11-30T05:52:12Z","title":"Hilbert's irreducibility theorem and the larger sieve","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.6465","snapshot_observed_at":"2026-08-14T06:26:23.956757Z","title":"Zywina, ‘Hilbert’s irreducibility theorem and the larger sieve’, Preprint, 2010 (available from http://arxiv.org/abs/1011.6465)","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T06:26:23.956757Z"},"links":{"cited_paper":"/paper/1011.6465","citing_paper":"/paper/1909.00135"},"observation_digest":"sha256:d69cab8c7d3df7b59503955da7c6ac4dbe8c73fdbf8a7b728548c4a69ead8721","observation_id":"bf59058e-9427-4c0d-9ca5-51ab1559e245","resolution":{"observed_at":"2026-08-14T06:26:23.956757Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1909.00135","last_updated":"2021-11-17T13:39:41Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-16T07:15:38.178256Z","submitted_at":"2019-08-31T05:44:09Z","title":"Discriminants of Fields Generated by Polynomials of Given Height"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":2,"verified_fuzzy":18},"total_outbound_references":34},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:1909.00135."}