{"as_of":"2026-08-04T05:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:670bd3c109a3fff59e5cae14145445f5b73c5f8bec8aea4ed1b2c6a96eaec4be","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T12:38:13.884044Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-03T06:30:56.289259+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/2607.19513/citation-record","integrity":"/paper/2607.19513/integrity","json":"/paper/2607.19513/citation-record.json","paper":"/paper/2607.19513"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.335660Z","title":"Dina, and Willem A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.335660Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:5961ca2fc9cd5bf217fc5df186fabf62a16d2ac10542760d8c0bfc0874e50596","observation_id":"37e9c00d-049c-45be-8b27-97da2dfb0d1f","resolution":{"observed_at":"2026-08-01T12:38:13.335660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.06979","last_updated":"2026-04-08T11:56:40Z","snapshot_observed_at":"2026-07-06T22:55:20.208897Z","submitted_at":"2026-04-08T11:56:40Z","title":"A note on complex Lie Algebras isomorphic to their conjugate","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.06979","snapshot_observed_at":"2026-08-01T12:38:13.389204Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.389204Z"},"links":{"cited_paper":"/paper/2604.06979","citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:97d761a76c593dccd43bc2b04ded99fdcd3950ae61002524c8d7bbcbf0d3027e","observation_id":"a9d11c98-07de-495f-afab-ccdfbb9fc3f8","resolution":{"observed_at":"2026-08-01T12:38:13.389204Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.553175Z","title":"581 (2019), 471--495","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.553175Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:65c61ec58f9ebac582ccea5ba393a7fe07c8e4ff38eac301fef267b490dc3838","observation_id":"868eb04b-63d5-4d3f-b5c0-35ed15cd9055","resolution":{"observed_at":"2026-08-01T12:38:13.553175Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.664727Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.664727Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:ed455127ac276c4aa39c2d6f4a369726bead72334a5bbd0723e99e377612754b","observation_id":"e8d27ea8-2b4e-455e-87bd-340c719c7ddd","resolution":{"observed_at":"2026-08-01T12:38:13.664727Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.777298Z","title":"Guralnick, Generically free representations, I: Large representations , Algebra Number Theory 14 (6)) 1577--1611, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.777298Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:ea24c5aee0cc323f6a8ddcf914f42b380dd86e14e271c02b945bf8c14d4d2284","observation_id":"373ef135-8fd4-4267-a3e7-76e3cb0fa96e","resolution":{"observed_at":"2026-08-01T12:38:13.777298Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.862033Z","title":"Guralnick and Ross Lawther, Generic stabilizers in actions of simple algebraic groups , Mem","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.862033Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:c79ce38354819963cd4626730717d799da37c147a05594019b349dff974b7609","observation_id":"0235a026-3336-43dc-a623-132dba8cbdd2","resolution":{"observed_at":"2026-08-01T12:38:13.862033Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T12:38:13.884044Z","title":"Texts in Math., 211, Springer-Verlag, New York, 2002","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T12:38:13.884044Z"},"links":{"citing_paper":"/paper/2607.19513"},"observation_digest":"sha256:74c91c778244b0212bc2e22d731078f0b2c5758e2b63d869d4885254b58e9627","observation_id":"cd70cc32-8e7c-4b6a-b816-c36d8f4e27df","resolution":{"observed_at":"2026-08-01T12:38:13.884044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.19513","last_updated":"2026-07-21T18:55:21Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-01T12:38:12.615882Z","submitted_at":"2026-07-21T18:55:21Z","title":"Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":7},"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":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2607.19513."}