{"as_of":"2026-08-20T10:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:91fdfa078f0d529022d984fd373a3eace500ac85c7a7525bf58657f2e59cb737","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:40:08.492519Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.26396/citation-record","integrity":"/paper/2607.26396/integrity","json":"/paper/2607.26396/citation-record.json","paper":"/paper/2607.26396"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:40:08.612354Z","title":null,"venue":null,"work_id":"600dabff-94bb-4f87-9f4b-665984493ba4","year":2022},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.467062Z"},"links":{"citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:0aa3c1c1114847d3b29d0d23ba9d67abf1f431dd593198bb419145013ba48e6c","observation_id":"d8d7e07f-7925-4fcc-8805-dd6aecc6690c","resolution":{"observed_at":"2026-08-15T15:40:08.616757Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.27623","last_updated":"2026-05-26T19:42:03Z","snapshot_observed_at":"2026-08-06T15:33:03.408783Z","submitted_at":"2026-05-26T19:42:03Z","title":"Contact Invariants for Plane Curves in a Pencil","version":1},"cited_work":{"arxiv_id":"2605.27623","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.27623","snapshot_observed_at":"2026-08-15T15:40:08.580641Z","title":"Contact Invariants for Plane Curves in a Pencil","venue":"math.AG","work_id":"d8a490b7-f40b-4925-9b41-4f830b6d8962","year":2026},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.472746Z"},"links":{"cited_paper":"/paper/2605.27623","citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:224394d74f6e2814ecbf7a09556c2f633de3142daf2257414e5532971b45d27c","observation_id":"7c86c52b-8d71-4cd6-b9d9-7e906bbd3ed8","resolution":{"observed_at":"2026-08-15T15:40:08.586200Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/cbo9781139062046.013","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:40:08.523595Z","title":"Eisenbud and J","venue":null,"work_id":"82680c05-5af4-4f20-83fe-ebfdda0de55b","year":2016},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.477692Z"},"links":{"citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:667ca4b95f4ff67df83816c735081c68f74a2daff4bc6161b5ebf40f32953500","observation_id":"50f06ba7-cad6-4e18-a1ea-57cfdf600f6b","resolution":{"observed_at":"2026-08-15T15:40:08.529041Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.03789","last_updated":"2026-05-30T05:07:37Z","snapshot_observed_at":"2026-07-13T12:18:08.261894Z","submitted_at":"2026-04-04T16:35:16Z","title":"Automated Conjecture Resolution with Formal Verification","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.03789","snapshot_observed_at":"2026-08-15T15:40:08.482216Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.482216Z"},"links":{"cited_paper":"/paper/2604.03789","citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:84d143565ba1ea6264fd46ae3795557a52dd816f9af21207faed24d7c3f14e34","observation_id":"cb5e9a94-021f-4263-a1d1-cb98bed33b15","resolution":{"observed_at":"2026-08-15T15:40:08.482216Z","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":"2026-08-15T15:40:08.596687Z","title":"Lazarsfeld, Positivity in Algebraic Geometry I","venue":null,"work_id":"1e701c74-327b-4abc-bb97-4d0b590b9cb6","year":2004},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.487180Z"},"links":{"citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:c56dc251a1b00caf4bee6d37b9222d1f33ea70e594f2aa24c71f7abe7e25de07","observation_id":"4bb6f857-dba3-40e9-b98b-f7ba2bb94771","resolution":{"observed_at":"2026-08-15T15:40:08.601610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.06447","last_updated":"2026-07-08T12:23:39Z","snapshot_observed_at":"2026-08-15T08:43:37.020715Z","submitted_at":"2026-07-07T16:11:30Z","title":"Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.06447","snapshot_observed_at":"2026-08-15T15:40:08.492519Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T15:40:08.492519Z"},"links":{"cited_paper":"/paper/2607.06447","citing_paper":"/paper/2607.26396"},"observation_digest":"sha256:d8892348b3322e5b817baaf134cbb2daf8603a0d6752221f586c2c7ebfe47a50","observation_id":"ef434678-0e2f-41c6-ac7a-18065e1e990d","resolution":{"observed_at":"2026-08-15T15:40:08.492519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.26396","last_updated":"2026-07-29T02:12:05Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-17T16:19:18.032478Z","submitted_at":"2026-07-29T02:12:05Z","title":"Twelve common flex lines in a general pencil of cubics"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":1},"total_outbound_references":6},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2607.26396."}