{"as_of":"2026-08-16T18:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:afe0294b314758488ca069fd3c9dae885561ab5c7b93625d9f56cf79a0fd7cf2","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:30:42.441459Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.05160/citation-record","integrity":"/paper/1908.05160/integrity","json":"/paper/1908.05160/citation-record.json","paper":"/paper/1908.05160"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.393313Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.393313Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:782c05c8d632e5f746939b14ad8d05e528c3f3f4bc88921cba8b1bbe3d215139","observation_id":"1bdb05ee-9709-4674-ab98-48867986e2d9","resolution":{"observed_at":"2026-08-14T13:30:42.393313Z","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":"2026-08-14T13:30:42.401242Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.401242Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:12f0efb3b618e8b9ee793eb4cd187c1354cc4d0f330995638a6fe21c1d44f1be","observation_id":"daa4360e-e9f3-4aa6-acb0-05c425b9fc2a","resolution":{"observed_at":"2026-08-14T13:30:42.401242Z","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":"2026-08-14T13:30:42.624251Z","title":"53 (De Gruyter, Berlin, Boston, 2019)","venue":null,"work_id":"e0387f3b-1ebc-443f-a485-74a3297973b8","year":2019},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.406618Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:8493862588791e23f3e70e5a687140d0180bb3149b3bde40e2be79677997ee74","observation_id":"9aa4b7fb-eceb-4a1b-a738-3acc565a4aea","resolution":{"observed_at":"2026-08-14T13:30:42.629310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.607884Z","title":null,"venue":null,"work_id":"3f119646-212a-45d3-bd74-35d27ee96064","year":1985},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.413151Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:3d0742f58a2d5f395bd8c03a4f69add7185be48f11c71dbf99d85791ae8c898e","observation_id":"36a5886d-6f3f-42dc-8805-63e83ab60a41","resolution":{"observed_at":"2026-08-14T13:30:42.612947Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.591082Z","title":null,"venue":null,"work_id":"2659960a-f900-4f6c-820d-7d8f25e550ed","year":1998},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.418840Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:00c422f88f35f0042c34ae3f2387d6a9fa840d70bf1f97017938b06b15d62a72","observation_id":"f23c6a28-d70d-4214-a52d-dde7afc312ac","resolution":{"observed_at":"2026-08-14T13:30:42.596374Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7546/jgsp-5-2006-5-13","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.545245Z","title":null,"venue":null,"work_id":"c1e15821-13ba-4ae2-aac3-9826cc5e5653","year":2006},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.424425Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:223d38854213d88ce74b85ab174141d176ca12a17c4667079eed4b5405882534","observation_id":"49d6f68a-03c7-4c69-8b37-578d0901db3d","resolution":{"observed_at":"2026-08-14T13:30:42.551205Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0034-4877(97)88001-9","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.526948Z","title":null,"venue":null,"work_id":"d1d45832-7d5a-4476-8575-8197db037f70","year":1997},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.431079Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:580e2d20f50cef16a23c0ad8eb1a6c27fc2dcb0719f3158937ee73ae5f513b21","observation_id":"dbd682d5-559c-4818-a524-a2d36f8911cb","resolution":{"observed_at":"2026-08-14T13:30:42.532357Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.nuclphysb.2009.10.019","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.504024Z","title":null,"venue":null,"work_id":"368c352c-1bac-484c-bdcc-d4c9572e5fca","year":2010},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.435965Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:0b71b80937784d93c8009e16daca3135f2bba7cdd66ac27d64172bdf58de7b08","observation_id":"206208e3-c625-4c68-8fb0-bd8ed9027716","resolution":{"observed_at":"2026-08-14T13:30:42.512588Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.laa.2014.07.030","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:30:42.483852Z","title":"& Its Appl","venue":null,"work_id":"5f7979f0-12e7-4ee1-970e-c2ed9ba9ef90","year":2014},"citing_paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:30:42.441459Z"},"links":{"citing_paper":"/paper/1908.05160"},"observation_digest":"sha256:6f489a0d7d91e60b45de1af5065abbf3544d4134e37863f62e7b586feb329f8d","observation_id":"09b51433-4e2c-406d-8191-65b25acb9b82","resolution":{"observed_at":"2026-08-14T13:30:42.490195Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05160","last_updated":"2020-01-15T15:03:11Z","latest_version":2,"primary_category":"math.RT","snapshot_observed_at":"2026-08-16T04:42:40.878123Z","submitted_at":"2019-08-14T15:01:19Z","title":"On Reducible Verma Modules over Jacobi Algebra"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":4,"verified_fuzzy":1},"total_outbound_references":9},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.05160."}