{"as_of":"2026-08-13T12:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9e3ae94c8499e1af91e992cdf88ab3038a7811fe46738aae9f62f269fb6cda56","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:46:47.718324Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2507.04902/citation-record","integrity":"/paper/2507.04902/integrity","json":"/paper/2507.04902/citation-record.json","paper":"/paper/2507.04902"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:46:58.006479Z","title":null,"venue":null,"work_id":"b57426f2-e312-4dfe-ac8c-bde57ce41d7f","year":null},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.352250Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:25c7f2c92d2f1bfa1fe6606d66bdbac38f63785027c383bf8804d5ecac520c01","observation_id":"748a38b1-c087-41c7-aa1b-0fb722daae33","resolution":{"observed_at":"2026-08-06T19:46:58.117958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:57.692432Z","title":"Lazarsfeld–Mukai bundles and applicati ons","venue":null,"work_id":"f7dd746e-1574-4704-85cc-6025d7a64f66","year":2013},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.460330Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:f57a0012004d4fc9084b43f5d3387f0b0a3c4146fd4419fce113a33153405271","observation_id":"66167e99-e75d-4125-ac54-867f97a1a278","resolution":{"observed_at":"2026-08-06T19:46:57.824326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:57.467051Z","title":"Mu kai’s program for curves on a K3 surface","venue":null,"work_id":"1084ada8-fe83-480c-86a4-39eba9f03599","year":2014},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.581547Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:3f7a64ab89e32d9d06fbc410e7e349007670bb1862e2b1380ec6769d62205b89","observation_id":"009164c1-a977-45e1-95cb-9748edc1e672","resolution":{"observed_at":"2026-08-06T19:46:57.540004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:57.297323Z","title":"Griffith s, and Joe Harris","venue":null,"work_id":"1d125b13-f241-43bb-9ff1-07bfb3a52e79","year":1985},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.672996Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:d1210038d709335159de2ebaa58e7af70cf5d15b244f4899bea45dfd86514cba","observation_id":"84a8466a-f6a8-4138-a285-bb45af85fa2d","resolution":{"observed_at":"2026-08-06T19:46:57.370234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.04610","last_updated":"2023-06-29T16:28:23Z","snapshot_observed_at":"2026-08-12T07:57:39.565258Z","submitted_at":"2022-06-09T16:59:10Z","title":"Maximal Brill-Noether loci via K3 surfaces","version":4},"cited_work":{"arxiv_id":"2206.04610","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.04610","snapshot_observed_at":"2026-08-06T19:46:48.631074Z","title":"Maximal Brill-Noether loci via K3 surfaces","venue":"math.AG","work_id":"5ebada43-c6aa-4d1f-9905-e6ba0e255871","year":2022},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.791751Z"},"links":{"cited_paper":"/paper/2206.04610","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:216d603ad408afef021bf7445085cce4c6bab64d2a1852abc6c7b63192e75edd","observation_id":"3e4ddd85-1fc2-4819-8c57-799b4513fdd6","resolution":{"observed_at":"2026-08-06T19:46:48.687226Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.19993","last_updated":"2024-06-28T15:25:58Z","snapshot_observed_at":"2026-08-12T23:32:36.012057Z","submitted_at":"2024-06-28T15:25:58Z","title":"Distinguishing Brill-Noether loci","version":1},"cited_work":{"arxiv_id":"2406.19993","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.19993","snapshot_observed_at":"2026-08-06T19:46:48.468476Z","title":"Distinguishing Brill-Noether loci","venue":"math.AG","work_id":"c126c4a9-2a53-44f0-8f96-a92b9348a97c","year":2024},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:41.897695Z"},"links":{"cited_paper":"/paper/2406.19993","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:a538148cde70ae650aa12e4f74253681d5c62f20f03ecc5b1b7ee36a1f27eced","observation_id":"a5f84fd9-9ca7-42a4-9e10-53678d2f87bc","resolution":{"observed_at":"2026-08-06T19:46:48.529353Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.09954","last_updated":"2024-06-06T21:15:41Z","snapshot_observed_at":"2026-08-13T05:48:57.267435Z","submitted_at":"2023-10-15T21:21:11Z","title":"Maximal Brill--Noether loci via the gonality stratification","version":2},"cited_work":{"arxiv_id":"2310.09954","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.09954","snapshot_observed_at":"2026-08-06T19:46:48.297923Z","title":"Maximal Brill--Noether loci via the gonality stratification","venue":"math.AG","work_id":"a21a694c-a40a-48bb-a9b2-772400a17796","year":2023},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.015346Z"},"links":{"cited_paper":"/paper/2310.09954","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:0b42e830864d0b7fdbcfb23282228050ac6cde6de8b6e86861a20778ddd54f3b","observation_id":"e43b25b2-2522-4d8a-83e8-56f680baa557","resolution":{"observed_at":"2026-08-06T19:46:48.374051Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:57.072569Z","title":"On linear series on gen eral k-gonal projective curves","venue":null,"work_id":"0d1ed5da-9448-4081-a230-b7d33d4d6826","year":1996},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.096558Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:55c46c9815b76af4ed0a987eef7ad3edd9856b74157c5e2a7110a09889ea6e76","observation_id":"e3a318ef-3f61-4149-ad0a-f0a2cb11704b","resolution":{"observed_at":"2026-08-06T19:46:57.189376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.891067Z","title":"Maximal Brill–Noether loci via degenerations and double covers, 2024, to appear in Ann","venue":null,"work_id":"9590cc6f-c4dd-44c6-b933-d7d9356c21e3","year":2024},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.172952Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:1e0755fdb1183b408bb67cada65317cbe77d1d61e16ae629ea5af3422a4f542b","observation_id":"ba3e1115-d166-4474-9f10-9ec84d2c7abc","resolution":{"observed_at":"2026-08-06T19:46:56.973251Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.728398Z","title":"Una applicazione della geometria e numerativa alle curve algebriche","venue":null,"work_id":"d6aa3c38-0e7c-4e76-81bf-04850d84f255","year":1940},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.266647Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:ff8f8facdf39f52f70545c30c7477a15f73bddc240c385848999c0ace69ca425","observation_id":"a297a6d3-c536-4ea5-b17f-241736a276bf","resolution":{"observed_at":"2026-08-06T19:46:56.799218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.600820Z","title":"Towards a Halphen th eory of linear series on curves","venue":null,"work_id":"a18eec99-a043-4a96-9e61-85b071434cf9","year":1999},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.394427Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:b07457226333bfe155cdf7a7a372cd3c8c54d96b42bb07c6573e76e7551da8b2","observation_id":"0150fba7-07d3-4801-996e-5b9d3d83fa98","resolution":{"observed_at":"2026-08-06T19:46:56.657223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.456317Z","title":"Linear series on a curve of compact type bridged by a chain of elliptic curves","venue":null,"work_id":"a2e16390-0604-4966-a76a-a6f8d010f204","year":2022},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.507438Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:ab53cbe56a5596ee9a18bad2972f9d2859cee64f7092bf20c5c8300a3bb8dae4","observation_id":"7e4bcf2b-6050-4c85-9b72-6ee7d63b8bbe","resolution":{"observed_at":"2026-08-06T19:46:56.517753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.310947Z","title":"Components of Bri ll–Noether loci for curves with fixed gonality","venue":null,"work_id":"626cc212-af48-48a1-882c-9d203e57c973","year":2022},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.624018Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:8488f6c0c9822d53798977a0c9043affc5a6575d72d7f7f18ff31a352dde7cef","observation_id":"c3591dc4-9419-4696-b750-ed67323aca32","resolution":{"observed_at":"2026-08-06T19:46:56.390724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.154780Z","title":"The gonality of general smooth curves wit h a prescribed plane nodal model","venue":null,"work_id":"cbc7b2df-4be6-4a77-8a77-ed051a90cfb8","year":1991},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.744573Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:dd0debbcb3d98933d2b7bf9a8ba36587e646b9776827064a4617e180d611ce93","observation_id":"796c354f-9e3e-4dbb-b08e-00dfba232730","resolution":{"observed_at":"2026-08-06T19:46:56.219939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:56.008227Z","title":"The gonality of smooth curv es with plane models","venue":null,"work_id":"708d79d7-3a5c-43ca-9174-7275e36531ad","year":1990},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.822445Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:9673cb536d02a953ec7bc07b6b1cf48b10413b2c26ccc0a91526c04b65c6a155","observation_id":"2cf669db-ce9f-427b-8e69-d8f5801957f2","resolution":{"observed_at":"2026-08-06T19:46:56.083196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.855667Z","title":"Nontrivial linear systems on smooth plane curves","venue":null,"work_id":"81b983f3-f58a-41d2-ab93-a7cc6cbfd9da","year":null},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:42.931589Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:8726d0142cf627901091ab15351d9bc7e5b119da3d5fa917e60eaddf8b720d15","observation_id":"201605c8-13ab-421b-ad6b-3bcdfebcc42e","resolution":{"observed_at":"2026-08-06T19:46:55.936606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.678685Z","title":"Linear series on a gen eral k-gonal curve","venue":null,"work_id":"40934783-48d7-4a42-b0ca-94a9cc3e8f9f","year":1999},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.037980Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:ccb06e1b410e44b0d2d02489fc2996c6d2cfee2c0bb3ae311868f5a77a8b2c3c","observation_id":"6221968b-dd3e-4119-bd67-89ae70d63d0a","resolution":{"observed_at":"2026-08-06T19:46:55.758084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.502497Z","title":"Linear series on 4-go nal curves","venue":null,"work_id":"4300b1e8-3001-4948-97ff-dc7a79686a35","year":2000},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.158653Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:e48bb6556ae86280cb4eb2cc7e6b8506b3b76fcd03a924f9fa538e6e0c25df2f","observation_id":"cd5c0fa8-c8ea-4125-8bfb-a3e101a61fd3","resolution":{"observed_at":"2026-08-06T19:46:55.579380Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.334366Z","title":"Very ample linear ser ies on quadrigonal curves","venue":null,"work_id":"9ffc0868-4788-4c2f-87e4-0e7ef6118130","year":2022},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.272486Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:c378f89f9983909cc404047edac6e3a3a226059e88b84819fadcd59c96f422fa","observation_id":"7165cfb5-0fcb-4f4b-be0a-e9c403ab6517","resolution":{"observed_at":"2026-08-06T19:46:55.415040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.177486Z","title":"Brill–Noether theory in codimension-two","venue":null,"work_id":"a5c631b6-f4f3-48df-831c-a4f793546013","year":1993},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.423991Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:c346a592a691ade3ec01ba10b2cb2cfc2c2ec28f81fedefe8c6db98e063f00f7","observation_id":"78238a22-065a-451a-93aa-f13bab385cdb","resolution":{"observed_at":"2026-08-06T19:46:55.257471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:55.011062Z","title":"The Kodaira dimension of the moduli space of curves of genus ≥ 23","venue":null,"work_id":"940dba7d-35c3-49dd-8202-49e02f0ee993","year":1987},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.505637Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:1d4c3dd144689e1fe165d675fbd89072ca8eaadb36c9eadde14a6f84545fe4da","observation_id":"d88d757e-2d55-446b-a163-28aa0da296e0","resolution":{"observed_at":"2026-08-06T19:46:55.086431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:54.749440Z","title":"Irreducibility of some f amilies of linear series with Brill–Noether number −1","venue":null,"work_id":"3b07fbd4-6691-4947-84a6-1eeded2c7e4a","year":1989},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.653347Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:b543f3e5f2bfbbc8f9996019ef854d9d48e06ccc4d2e31a779e36ab7c3ee5035","observation_id":"d93536a0-baf6-47c3-84bf-d9ff4e330f5f","resolution":{"observed_at":"2026-08-06T19:46:54.860476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:54.432552Z","title":"The geometry of the moduli space of curve s of genus 23","venue":null,"work_id":"1d5bbcdf-40bd-49f1-bf79-9b6070a355a5","year":2000},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.769173Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:e62ed9d08c19c21be66fa99cdb13856aa74605b0278bf3fe70e937ff15f2a386","observation_id":"698a0f9f-e1cb-450e-b75a-12364a10144a","resolution":{"observed_at":"2026-08-06T19:46:54.574818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:54.193326Z","title":"Brill–Noether loci and the gonality str atification of Mg","venue":null,"work_id":"b9454357-e76d-4b9e-af90-8b73b0ec08b6","year":2001},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.845643Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:f2872d2ddad41a70596710922b977cbf0b42777e4b87c37b4e44093c57642ae4","observation_id":"e75179ba-8292-4dbf-827d-c72115edda2d","resolution":{"observed_at":"2026-08-06T19:46:54.306429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:53.965358Z","title":"Higher ramification and varieties of sec ant divisors on the generic curve","venue":null,"work_id":"385be886-0ea1-404c-8036-6b44a68697c8","year":2008},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:43.962749Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:3f7f1ad7834dcc4faacea46b867b8da23ef398172c5f9b036425ceb8bd02304c","observation_id":"f01b028f-65a5-456d-bdd0-015b685c00e1","resolution":{"observed_at":"2026-08-06T19:46:54.071040Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.19890","last_updated":"2025-06-22T19:55:40Z","snapshot_observed_at":"2026-08-07T14:01:59.820161Z","submitted_at":"2025-05-26T12:22:10Z","title":"Hurwitz-Brill-Noether theory via K3 surfaces and stability conditions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.19890","snapshot_observed_at":"2026-08-06T19:46:44.043130Z","title":"Hurwitz–Brill–Noether theory via K3 surfaces and sta- bility conditions, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.043130Z"},"links":{"cited_paper":"/paper/2505.19890","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:1770c43141bad516eeb85468d20ec6ed880b12e0fca1b0cc4c017ae9522bf0c2","observation_id":"3b438d6d-78c7-4e3f-a16b-aaaf2a8a1699","resolution":{"observed_at":"2026-08-06T19:46:44.043130Z","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":"2026-08-06T19:46:53.714985Z","title":"Stable curves and special divisors: Pe tri’s conjecture","venue":null,"work_id":"a2dd930a-d334-4c20-be5d-7343642e597e","year":1982},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.143691Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:1be6f60aa71f4c0f769b569b1b988799cf36f675bab7d90a273218a8a00cb46f","observation_id":"b53508d3-37ba-460b-a09b-a0c0afb0bffa","resolution":{"observed_at":"2026-08-06T19:46:53.837376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:53.448070Z","title":"On the variety of spe cial linear systems on a general algebraic curve","venue":null,"work_id":"60c64e28-b774-4129-a599-9c668f2b54ed","year":1980},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.227833Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:271a3bd06bd82576b9cce4c50b3b1630404562c13b6200d67269bbffdc76f17c","observation_id":"24cf9836-f419-4059-a917-5ae803516ca0","resolution":{"observed_at":"2026-08-06T19:46:53.584009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:53.323844Z","title":"Curves on Brill-Noether special K3 s urfaces","venue":null,"work_id":"2068ad7f-5ae2-415d-8fc7-2ed2eb13f687","year":2024},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.357815Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:a54b49e4716ab6bf6ecd42731c624f43e26436b720dcc9212557e68ba2594a56","observation_id":"ed843c48-e268-439e-85f7-9616a310f989","resolution":{"observed_at":"2026-08-06T19:46:53.387865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.16255","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:46:48.121629Z","title":"Some reducible and irreducible Brill–Noether loci, 2025","venue":null,"work_id":"baf8722c-e55f-490f-8973-f4170d8afaa2","year":2025},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.506566Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:ff16d0dd4dc5bad9609ff429924be4f73f71c1edf288b25b7536819c3115d73f","observation_id":"77cf18a6-3fa4-4cea-a8b2-6b29a4aea5ef","resolution":{"observed_at":"2026-08-06T19:46:48.189636Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:53.211279Z","title":"On the Kodaira dimension o f the moduli space of curves","venue":null,"work_id":"b3b26777-4056-4ec1-9765-2c1214d656e0","year":1982},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.627523Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:f58ba8effa386afa4e10182f8223a30cb3a7f48e597fdf7b75cf79289f57dbab","observation_id":"65a6fc43-e507-4ae7-8b35-609a21896bc0","resolution":{"observed_at":"2026-08-06T19:46:53.258247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:53.105626Z","title":"Algebraic geometry, volume No","venue":null,"work_id":"a5cc7a4c-4152-40d3-8bae-8966d8c54881","year":1977},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.771281Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:cc6b47021558b45338e6bdaa8dfb4727fea03fceebe679ae1b63469e10e70c78","observation_id":"f87df5fc-dbe9-47ab-93d6-a3ac2d0efe16","resolution":{"observed_at":"2026-08-06T19:46:53.146818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.861462Z","title":"The geometry of moduli spaces of sheaves","venue":null,"work_id":"f4652ee8-4d4a-4f3f-93e9-10e1fa48af50","year":2010},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:44.917182Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:35a3312cf9ee364c10cb4e772f5e6cd7cd99dc3f5849753c04e4a55fd4bc4096","observation_id":"5da3ea63-6643-4699-a812-4702d637e881","resolution":{"observed_at":"2026-08-06T19:46:52.913987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.00351","last_updated":"2021-10-30T22:06:13Z","snapshot_observed_at":"2026-08-06T08:35:06.221170Z","submitted_at":"2021-10-30T22:06:13Z","title":"Recent Developments in Brill-Noether Theory","version":1},"cited_work":{"arxiv_id":"2111.00351","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.00351","snapshot_observed_at":"2026-08-06T19:46:47.857058Z","title":"Recent Developments in Brill-Noether Theory","venue":"math.AG","work_id":"38971107-62a1-4142-bb9e-e31ad53652b0","year":2021},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.054687Z"},"links":{"cited_paper":"/paper/2111.00351","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:2f015075abcd31aece0ac14f537d4659ae3dec1b8c75e22174e3a1ad7a2060d3","observation_id":"02519a86-e478-476a-852d-9beb81c2c6ad","resolution":{"observed_at":"2026-08-06T19:46:47.916609Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.733586Z","title":"Brill–Noether the ory for curves of a fixed gonality","venue":null,"work_id":"9378cb4a-216c-4067-a018-a18294361f3c","year":2021},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.193296Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:186074f6b9ed5d2909c8cdde892d1057b158d87ca8a02e040ab0c4a89c99ba31","observation_id":"d110965f-f084-4775-9603-31b62369763f","resolution":{"observed_at":"2026-08-06T19:46:52.779975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.606971Z","title":"Brill–Noether the ory for curves of a fixed gonality","venue":null,"work_id":"a2097c0e-599d-4909-ad30-64dc6e68d041","year":2021},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.375507Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:9ab3c0bee5fd52ef100c5d135ec74373787d181c77b7db7c53d4f0f35d45a199","observation_id":"6940f86b-aa2c-4e40-91e3-350ec3f6d96c","resolution":{"observed_at":"2026-08-06T19:46:52.658889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.486093Z","title":"Severi varieties and Brill-Noether theory of curves on abelian surfaces","venue":null,"work_id":"21b788fb-e907-42fd-8c80-3161fff706c6","year":2019},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.516791Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:f837a38625e92baa6dda49121a2d318f51948608e5c7630591b119e916faeb7e","observation_id":"2ce0fd7a-3a14-441c-83d4-2061ed0b46ed","resolution":{"observed_at":"2026-08-06T19:46:52.519573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.364253Z","title":"Moduli spaces of algebraic curves with r ational maps","venue":null,"work_id":"1ad51865-860d-4d6d-bcd0-03ac1a8d501e","year":1975},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.639772Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:200d0eb6be6beb55c1be7698ff4a4b326d1b83f48a1314e9a98115671e9392ae","observation_id":"06edc72a-d4ec-4e9a-956e-628c565343b4","resolution":{"observed_at":"2026-08-06T19:46:52.398001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.225968Z","title":"Global Bri ll–Noether theory over the Hurwitz space","venue":null,"work_id":"dd7493af-c690-457f-a088-acb142400c5f","year":2025},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.755154Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:2c9c5be32d19473000a65d8b0144bfcc129fb2e35856d35f2184baac93cb81c0","observation_id":"d821c6c1-1b61-420d-8ee6-87bd34a65c73","resolution":{"observed_at":"2026-08-06T19:46:52.289538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:52.085794Z","title":"A refined Brill–Noether theory over Hurw itz spaces","venue":null,"work_id":"786a74d0-1de5-4a45-9c75-10fdcc72047b","year":2021},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:45.905502Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:3717d36722e1811035e758cff9905db236dbeab92a484cbf0565760206126863","observation_id":"f3c2f363-6ed6-48f6-85f2-0f8c54f48b88","resolution":{"observed_at":"2026-08-06T19:46:52.150649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.12678","last_updated":"2024-08-22T18:35:49Z","snapshot_observed_at":"2026-08-12T22:59:03.017475Z","submitted_at":"2024-08-22T18:35:49Z","title":"Brill--Noether theory of smooth curves in the plane and on Hirzebruch surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.12678","snapshot_observed_at":"2026-08-06T19:46:46.051431Z","title":"Brill–Noether theory of smooth curves in the plane and on Hirzebruch surfaces, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.051431Z"},"links":{"cited_paper":"/paper/2408.12678","citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:b56e782d6bc7163c821b4115cfef15d789361490399b79f6d7e738f1bfb8cecc","observation_id":"fc1e5d05-9c70-466c-b3a8-06230a8cc2cc","resolution":{"observed_at":"2026-08-06T19:46:46.051431Z","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":"2026-08-06T19:46:51.916932Z","title":null,"venue":null,"work_id":"9b0b1e0b-72fb-4426-89ab-516e7e29dc82","year":2021},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.108670Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:84a0364868612b0b13d81d30eb3c919039820df0ffbdff8e57b5a8cbc798931d","observation_id":"b6b6047a-c057-444e-b204-d41e136e0140","resolution":{"observed_at":"2026-08-06T19:46:52.001657Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:51.755608Z","title":"Brill–Noether–Petri without dege nerations","venue":null,"work_id":"9ef7bc36-3aca-47aa-bd06-716b647cb54e","year":1986},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.209692Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:c66fc22ec19251608451b3e4cd422661860b4767381e7bd34cda13b3ea79fb26","observation_id":"af857fb0-9b3a-45ca-9494-fa0670c71950","resolution":{"observed_at":"2026-08-06T19:46:51.821668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:51.539086Z","title":"Lectures on linear series","venue":null,"work_id":"71677393-fefb-45d7-b24d-9f58c00d58bb","year":1993},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.332791Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:fc6108fc735631a723e9b5717a2a336f0ad50ab6a676703f448efc6fcf79e63f","observation_id":"beab96e4-6c7c-44c7-a5f1-a2cf37304951","resolution":{"observed_at":"2026-08-06T19:46:51.636918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:51.376946Z","title":"The Gieseker–Petri divisor in Mg for g ≤ 13","venue":null,"work_id":"b6b81c47-0c1b-4945-9b12-54d967543858","year":2012},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.458769Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:04ff584eaf3f1ee5507caa8c559d34159f8774f737b132bf036f29ae80f40c95","observation_id":"db546658-d213-47fe-96b7-ca750714d6bb","resolution":{"observed_at":"2026-08-06T19:46:51.434261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:51.185720Z","title":"Stability of rank-3 Lazarsf eld–Mukai bundles on K3 surfaces","venue":null,"work_id":"0c1cce9d-b786-4be2-86fb-12a828da0b36","year":2013},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.618731Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:7efac4b6522d20e83357ea70f6f12160003578a89e79bfebda987553fb28861e","observation_id":"8e9fb3ee-4adf-432f-bca7-6b4effc2119e","resolution":{"observed_at":"2026-08-06T19:46:51.270773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:51.002709Z","title":"Generalized Lazarsfeld–Mu kai bundles and a conjecture of Donagi and Morrison","venue":null,"work_id":"be46e83a-740f-4a23-93e1-34565a7a13d0","year":2015},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.698629Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:7de2686d57dfdbf55f1c6ef30766c239a85a93ca5fdfdbeae8f546ea054bddce","observation_id":"99b814b7-41ba-47e9-9be3-4d872390ae17","resolution":{"observed_at":"2026-08-06T19:46:51.093397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:50.839218Z","title":"Le serie lineari speciali sulle curve tr igonali","venue":null,"work_id":"2af43140-4a03-49c6-80f7-413919358565","year":1946},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.787905Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:127984353e65855774c74be6b3d1304304b3470e2ff9afffcc6cc09b40058d62","observation_id":"ee57a78f-2290-4eee-a7fe-0ce4aac38443","resolution":{"observed_at":"2026-08-06T19:46:50.913592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:50.645248Z","title":"On curves of odd gonality","venue":null,"work_id":"bbc2d957-aedb-4839-85a7-41da89bd0bbb","year":1996},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.883213Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:1a3400314597ba9ed8f95d4a0e4a9d4d3a297713f9bca928277c135b2d69438b","observation_id":"a827e91e-29ba-4d1b-a4c4-cf5882f66fb5","resolution":{"observed_at":"2026-08-06T19:46:50.736871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:50.454892Z","title":null,"venue":null,"work_id":"584836f4-fbae-44fc-b775-1e2a66cde87b","year":1968},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:46.965627Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:8426ca171e1f1b8a47f4fb297cd0f85de726704cf4409472360a5c97f5f39f1e","observation_id":"944008ed-8355-4f4b-a423-737f8a5b0023","resolution":{"observed_at":"2026-08-06T19:46:50.542420Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:50.268051Z","title":"On degrees and genera of curves on smoot h quartic surfaces in P3","venue":null,"work_id":"055ab546-e964-42f8-a9a2-0fea0136a9f7","year":null},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.031504Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:29c65de6e26d77adcf40b84e09a88082d5df31ea98e01fcadcfbf077176fc699","observation_id":"49cf4610-0548-4864-a19f-0b9860343af2","resolution":{"observed_at":"2026-08-06T19:46:50.369794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:50.072151Z","title":"Morrison","venue":null,"work_id":"a9241d4b-316a-417b-ac79-24a9899e76b1","year":1984},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.109788Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:e6d792afb87dfe20c51892449c5fb8917a2d963ec0ed3b2057c9b11b72773ca3","observation_id":"cef89dba-dd6c-4f47-ab76-afcacfab0295","resolution":{"observed_at":"2026-08-06T19:46:50.174860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:49.877015Z","title":null,"venue":null,"work_id":"32538e60-e69c-4e4e-9894-d74944265c8f","year":1980},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.218346Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:5469218139e11329fc019c8ced97aeff80a001969765493554f501751a0977a6","observation_id":"79f19238-60bc-4b15-8b65-95c5c72ea888","resolution":{"observed_at":"2026-08-06T19:46:49.972967Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:49.688495Z","title":null,"venue":null,"work_id":"70e895e3-23e9-4e5c-b802-611980fdb7e7","year":1986},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.300081Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:e3e26aa594872488a850cb4384ff5967f55e5b5fd5557a560f1cfc1f411dd07a","observation_id":"74564882-812c-4545-b036-92b50eae0a25","resolution":{"observed_at":"2026-08-06T19:46:49.773464Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:49.516343Z","title":"Brill–Noether varieties of k-gonal curves","venue":null,"work_id":"5d64cca4-2ed1-4dbb-bb86-0cfad1181202","year":2017},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.377312Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:70d3a668ca155431ffb832746a2c4cd159970d9f4c1cef50be0ff5871abdb492","observation_id":"f055cdfe-c0c9-46f8-8ce9-dce486888b8f","resolution":{"observed_at":"2026-08-06T19:46:49.574755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:49.384506Z","title":"Linear series with ρ < 0 via thrifty Lego building","venue":null,"work_id":"15fc7736-a760-452a-a760-23d9d0a8947e","year":2023},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.424098Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:cb26e6e89e70a4cf5ca3af991f96ae9cccf786483d18c184d391c9649b7912f6","observation_id":"ff257169-c344-41b9-97b0-f18d441596fc","resolution":{"observed_at":"2026-08-06T19:46:49.442697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:49.170348Z","title":"On the existence of certain families o f curves","venue":null,"work_id":"74d8e00d-6a92-47a1-9a40-d577e05b20ba","year":1984},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.521340Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:a600cf102aea52b3c9c458a4593b26cdbf13f7549a7ccd964c22b5714980a282","observation_id":"8e76fe43-f9f8-4710-85f5-2d3b6b4722f3","resolution":{"observed_at":"2026-08-06T19:46:49.269276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:48.990659Z","title":"A generalized principal ideal theorem w ith an application to Brill–Noether theory","venue":null,"work_id":"17e13ee9-cab2-47ea-9eaf-e97b61def0e7","year":1998},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.635033Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:2487c2ab5cf3d901cdd4b05e065a220d37d86a0bbbd3635f0d4b7fff9ebd5aa6","observation_id":"4d5474ce-a560-4c96-9158-a9f2a05079a1","resolution":{"observed_at":"2026-08-06T19:46:49.057847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-06T19:46:48.786476Z","title":"Brill–Noether loci","venue":null,"work_id":"67ffa6db-3b70-43a2-b541-c83175eb5fbf","year":2025},"citing_paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:47.718324Z"},"links":{"citing_paper":"/paper/2507.04902"},"observation_digest":"sha256:086b4f21423f815b8f4e69df77abed6cb0682216c677fff50e4d12eb29997d31","observation_id":"ac69b314-ed59-4e16-8161-d1374908a03d","resolution":{"observed_at":"2026-08-06T19:46:48.882520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.04902","last_updated":"2025-07-18T01:38:31Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-12T10:58:48.221857Z","submitted_at":"2025-07-07T11:40:22Z","title":"Brill--Noether loci in genus $\\leq 12$"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":5,"verified_fuzzy":47},"total_outbound_references":59},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2507.04902."}