{"as_of":"2026-08-13T06:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76a8cbc014f689680d2e00ebfdf4a1bfa59894a9c1aae263bfb4fc36c28b71ad","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T15:09:21.417395Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T12:18:08.138190Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.00037","snapshot_observed_at":"2026-08-03T12:18:08.138190Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.03965","last_updated":"2026-06-20T06:25:27Z","snapshot_observed_at":"2026-08-10T01:52:19.130705Z","submitted_at":"2026-01-07T14:28:40Z","title":"Heavy rigid body with a gyroscope in $\\mathbb R^n$","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T12:18:08.138190Z"},"links":{"cited_paper":"/paper/2412.00037","citing_paper":"/paper/2601.03965"},"observation_digest":"sha256:331e2ddcdee99d22496cb0893a09c2622d3a1ddda544d83818fc451d1bfedbb2","observation_id":"a36db2ec-df63-4574-981c-4c9c6ef18c7a","resolution":{"observed_at":"2026-08-03T12:18:08.138190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.00037/citation-record","integrity":"/paper/2412.00037/integrity","json":"/paper/2412.00037/citation-record.json","paper":"/paper/2412.00037"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T15:09:22.588326Z","title":"Graduate Texts in Mathematics, 60","venue":null,"work_id":"60e4f4b0-079c-45cd-a575-467fd80610cd","year":1978},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.135489Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:e1822e3dfdce60b2317d1ce6eae02c5d80b50220eca52f8cc2f04990b1b920eb","observation_id":"0db2f294-44e6-4076-b0d9-37d7bfd9a570","resolution":{"observed_at":"2026-08-12T15:09:22.597790Z","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":"2026-08-12T15:09:22.567521Z","title":"Russian Math","venue":null,"work_id":"c604d517-7862-41af-9a87-1ed7ea29229b","year":2013},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.147700Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:efaa91c0a6e565da6518d91f343a6a92d70ade652a4a70e283e38a808f0dc584","observation_id":"27fe19d1-074e-480c-81d2-6d2f2d3d10ca","resolution":{"observed_at":"2026-08-12T15:09:22.574544Z","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":"2026-08-12T15:09:22.543753Z","title":"Russian Math","venue":null,"work_id":"37f16104-1759-4c7b-a6a8-6fafc257bfc0","year":1998},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.155503Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:4ea3bab72f4943657bcfabac112f517116c63c1494841f7a0257a2f116660633","observation_id":"297f0183-5455-4080-887b-882ec324fbc1","resolution":{"observed_at":"2026-08-12T15:09:22.556026Z","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":"2026-08-12T15:09:22.510873Z","title":"Siberian Math","venue":null,"work_id":"c23b0cf9-de73-4a9d-aeb6-54a39268fa1b","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.165232Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:b8b6454dc0ff188512c1aa0157dda8d9fca17e27bb1fb734330310db768684ca","observation_id":"aadca123-4d53-43a6-b369-64e90abd40a7","resolution":{"observed_at":"2026-08-12T15:09:22.520098Z","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":"2026-08-12T15:09:22.481207Z","title":null,"venue":null,"work_id":"a3365e10-3752-4b56-b460-7a6b2558f3e6","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.175100Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:60beaa5438407200eaf7ae3b952aa37afef622cdf91d4f8496a3022e3633fcc7","observation_id":"a64cbdf3-cc3f-45b9-82c8-ef569f8fe061","resolution":{"observed_at":"2026-08-12T15:09:22.488139Z","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":"2026-08-12T15:09:22.448098Z","title":null,"venue":null,"work_id":"325f8116-0aa3-4c19-bc22-be85ad30598e","year":2012},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.181860Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:798c778fad65e03adffc96e48a7df4ff61d0889a49a9cafa50f8f1715cc1517f","observation_id":"86f644b2-920e-46ec-b62c-8655288197dc","resolution":{"observed_at":"2026-08-12T15:09:22.454164Z","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":"2026-08-12T15:09:22.416171Z","title":null,"venue":null,"work_id":"d2f44166-3705-41fc-86ca-ffdc7b596594","year":1966},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.194650Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:d25f598c10f8a460a9215fb0919e761030df91e921b650b0b6c23b43637a7aa2","observation_id":"32316c31-7ec1-4954-a89c-46c9c52be302","resolution":{"observed_at":"2026-08-12T15:09:22.423766Z","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":"2026-08-12T15:09:22.380867Z","title":null,"venue":null,"work_id":"67a6bc73-8552-4d7f-bb8a-332860b61163","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.202328Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:5556ab9c188f3abc96e350cd682652931e75f3c471a2e57c05fd071a1f91d9f0","observation_id":"b48be68b-5368-4a85-b119-a876362a0169","resolution":{"observed_at":"2026-08-12T15:09:22.389122Z","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":"2026-08-12T15:09:22.360118Z","title":null,"venue":null,"work_id":"6ab1e466-6d12-413b-bfed-98d96c60b8cf","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.212678Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:95044a59602f6b35dac2eb1f5a9f8ab33a2f603ac1e8cfc575ef83cfb246205b","observation_id":"95677a81-61b6-441f-bc52-de890b978f1b","resolution":{"observed_at":"2026-08-12T15:09:22.365416Z","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":"2026-08-12T15:09:22.335926Z","title":"Russian Math","venue":null,"work_id":"a598701b-ff2f-45e9-92bd-8297141c660c","year":1999},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.224150Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:3a2a8b539b05028e4bc9f857dbc80d046072e993bd6c6237086def6ad6744784","observation_id":"7db9dfba-5872-464f-91e1-ce413430ceb6","resolution":{"observed_at":"2026-08-12T15:09:22.341392Z","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":"2026-08-12T15:09:22.316861Z","title":null,"venue":null,"work_id":"5808e3cb-38ac-43ce-9892-659b8a0ba70d","year":1999},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.238846Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:7a4a46394d6571ee599c9b3e3c8ca81492065cdf429dcfec682596455622c6ae","observation_id":"963a4ab1-e007-4267-82fe-b0ac9c539b64","resolution":{"observed_at":"2026-08-12T15:09:22.323692Z","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":"2026-08-12T15:09:22.285324Z","title":"Asian Math","venue":null,"work_id":"68a879e6-8787-453f-8191-e0dc2824916a","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.245616Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:6711d783c4305792924304cf711589380947b7c27bf7e4e246449965747e6d54","observation_id":"cbcb46e7-bc10-4038-a772-d52c4b84af26","resolution":{"observed_at":"2026-08-12T15:09:22.297491Z","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":"2026-08-12T15:09:22.254480Z","title":null,"venue":null,"work_id":"fd7f8a13-30ca-475a-b755-b842c9eaa866","year":2000},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.253640Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:5bdb8e879df8e77075aa2562feea2c166c3e2a23a66c67eba1256f75a1c2c368","observation_id":"13c4662b-9c6e-42b5-88c9-0537cf728b69","resolution":{"observed_at":"2026-08-12T15:09:22.260255Z","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":"2026-08-12T15:09:22.198989Z","title":null,"venue":null,"work_id":"87c0e994-2003-495b-98e1-ac64809d3e29","year":2005},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.260348Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:ba22832d0af7d0cff3b8e839e851ec00f2ebc276c5b76155bf5b272686a19b68","observation_id":"daff786b-420c-463f-86e5-389c09b69f24","resolution":{"observed_at":"2026-08-12T15:09:22.219153Z","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":"2026-08-12T15:09:22.105202Z","title":"Nonlinearit, 30 (2017), 1–12","venue":null,"work_id":"7d4b4991-37c7-4221-9f72-fecddd06d185","year":2017},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.266964Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:df883c50b8113bd53aef6491bc75fecef4aa0d938fd649d6b9199a33fc80246c","observation_id":"6333385e-b7b5-439b-ab7f-145e9a441a88","resolution":{"observed_at":"2026-08-12T15:09:22.134421Z","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":"2026-08-12T15:09:22.047329Z","title":null,"venue":null,"work_id":"6fa6265e-4cbd-4c31-9f0b-2dfab51669e6","year":2008},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.273017Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:4055178e3894adc47bfa24817e255e51516604aad18b9995f6b6eff933ba61e9","observation_id":"ad91842e-af45-4996-985e-e6e7c364f3d2","resolution":{"observed_at":"2026-08-12T15:09:22.061470Z","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":"2026-08-12T15:09:22.005645Z","title":null,"venue":null,"work_id":"9f13afa2-2d14-4a73-955b-3ce0af1c4b97","year":1995},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.283113Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:4b232bd930f74460227cce33a596f7e85eec8f36c86cbd84d830ec1c99c33b38","observation_id":"08a1e085-08d4-4aa8-bd12-b41d6353227a","resolution":{"observed_at":"2026-08-12T15:09:22.016077Z","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":"2026-08-12T15:09:21.959891Z","title":null,"venue":null,"work_id":"a9cd32e2-3948-41ff-85a3-e72257c2bc28","year":2010},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.292677Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:f0320aecdc95a27c39a597a004b7d10c63a3f5959fb366aebbcf74de3113b25a","observation_id":"735b4957-3fea-4630-aaa7-e1448730d9ff","resolution":{"observed_at":"2026-08-12T15:09:21.970036Z","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":"2026-08-12T15:09:21.916189Z","title":"Nauk 17:4 (1962), 57–110","venue":null,"work_id":"e2a8f006-c9c2-4644-8bba-d64154cac5d4","year":1962},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.301460Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:1d82fe8593026f79367f18c1a42eb1bfb596617a527a6636d14b8170e43894a6","observation_id":"a347fa96-4f73-42ad-8c49-353fb5dbb653","resolution":{"observed_at":"2026-08-12T15:09:21.926322Z","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":"2026-08-12T15:09:21.882013Z","title":null,"venue":null,"work_id":"aa707980-0ac1-4e7b-9be7-bbe3a4934f8e","year":1979},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.311466Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:ca0668cf90a1fae1550f16f691b176b7a1b39a8034232f35b38857686352fd55","observation_id":"8a206f88-583a-493f-ba3f-9ec3732d7f56","resolution":{"observed_at":"2026-08-12T15:09:21.894528Z","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":"2026-08-12T15:09:21.857387Z","title":"V.: Integrability and nonintegrability in H amiltonian mechanics","venue":null,"work_id":"ed7cb0be-d4db-4283-a08d-ccae352ef676","year":1983},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.320396Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:e2b5c7b9f7c438592090f1c5be7044bb8b903dd2fcdb0aa0087c31fb087835be","observation_id":"6d6e0aeb-acc6-428a-8069-3b9fd9cd6de2","resolution":{"observed_at":"2026-08-12T15:09:21.866632Z","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":"2026-08-12T15:09:21.817599Z","title":"(Russi an) Izv","venue":null,"work_id":"e418d2a6-de7b-4db0-85d8-774873275045","year":1949},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.329461Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:fdad082e0b89b352967f2d1dd6127f66df526437f82be1aab39b0b8efe8d31ff","observation_id":"d20601ea-97de-4c22-bef3-c1041a89af64","resolution":{"observed_at":"2026-08-12T15:09:21.839369Z","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":"2026-08-12T15:09:21.789332Z","title":null,"venue":null,"work_id":"a4fabd3c-3b88-4651-9714-f7241b5cbdd6","year":2006},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.342059Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:de962a6b6b84b3c38e1f32217d21b9a84f76f14d93818976c288cf589b49805d","observation_id":"22ac42a3-0147-49ff-988c-6422ba1c5aec","resolution":{"observed_at":"2026-08-12T15:09:21.800994Z","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":"2026-08-12T15:09:21.760877Z","title":null,"venue":null,"work_id":"49b3059a-ef5b-40be-92f2-5598abefef23","year":1994},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.349143Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:dd5e685c90b7246b0dd865f3f41f90878d0c682d4f37ce13257e9d2cc276f55f","observation_id":"9cd1559c-1177-40c5-b64e-6ab619e6fa49","resolution":{"observed_at":"2026-08-12T15:09:21.768975Z","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":"2026-08-12T15:09:21.733908Z","title":null,"venue":null,"work_id":"81a23029-1fcd-4192-9628-6faed4980d54","year":1997},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.357900Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:42b925e29ad54d8b31fb8b7841aa1e1744f0b643f9b82611e355e2683a64029d","observation_id":"56db3758-d7d2-4d05-9545-3242072bc509","resolution":{"observed_at":"2026-08-12T15:09:21.741761Z","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":"2026-08-12T15:09:21.704776Z","title":null,"venue":null,"work_id":"b20c638d-8b6b-438b-a9ad-62c57d60472c","year":1996},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.365760Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:03b5893765edf3598529d0708749403fe82a13086a662584ef201504159dd5f4","observation_id":"1d326fb0-f2b2-498e-b8f3-cf4206864583","resolution":{"observed_at":"2026-08-12T15:09:21.714370Z","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":"2026-08-12T15:09:21.659691Z","title":"Russian Math","venue":null,"work_id":"93e9fa8d-8629-4272-a874-28dd182cf9b9","year":1982},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.374758Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:31fd341b3b12de770c736f8fae8b154c789bf835fb801a5da061be20e4cd5c04","observation_id":"f6b581f8-871a-48cc-a0bb-2b50492cf7be","resolution":{"observed_at":"2026-08-12T15:09:21.675547Z","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":"2026-08-12T15:09:21.622247Z","title":null,"venue":null,"work_id":"2ede2eb0-ffba-4453-89bd-e17b3a8e21c4","year":2001},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.380962Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:a6cb8e5fd3bbeb6079a9334e164f9d586acdbcd224e01f1f5de6a02538317b45","observation_id":"dd94ff89-6ed2-469e-b781-3e3afb9ebaf8","resolution":{"observed_at":"2026-08-12T15:09:21.632955Z","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":"2026-08-12T15:09:21.592772Z","title":null,"venue":null,"work_id":"050b0f4f-e42c-4e82-b9ff-d178a448e0f7","year":1997},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.390587Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:d9d4c4d1fef7cec392273819cf38d31290ac2977dd0cc56e2f5843bc8f12c1ee","observation_id":"08464d06-d18d-49a0-bb2f-2b0cecc67e7b","resolution":{"observed_at":"2026-08-12T15:09:21.599989Z","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":"2026-08-12T15:09:21.558422Z","title":null,"venue":null,"work_id":"4c38de9f-a4c2-4fb3-b4aa-7be5669e20a9","year":1988},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.401520Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:7ca03198df8d089fe9d4fc7d6c50a3d359aeff82113b4d3af2dc64685240dc94","observation_id":"ebb869a7-a4f7-4f42-886c-28872ca85591","resolution":{"observed_at":"2026-08-12T15:09:21.571150Z","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":"2026-08-12T15:09:21.526492Z","title":"(Russian) Mathematical Notes 44:2 (1988), 283–284","venue":null,"work_id":"e38de861-a2b4-4589-b80c-dfcbf2d1d0ba","year":1988},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.409186Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:717f0410821740eec52afd4a6c71c817fd5b7afc586ab95fdd03b98f655ee8f3","observation_id":"c07a5b11-7c11-4263-bac8-2bc89d527b10","resolution":{"observed_at":"2026-08-12T15:09:21.538239Z","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":"2026-08-12T15:09:21.485793Z","title":null,"venue":null,"work_id":"3df429be-ccbb-49f9-a8ea-93ada141fa8d","year":1970},"citing_paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T15:09:21.417395Z"},"links":{"citing_paper":"/paper/2412.00037"},"observation_digest":"sha256:fcc9b2842563cf314c7f1eab4f083fbf8b7871212f1c814036ce2e77c95b4804","observation_id":"e76cc389-5f45-4459-95a2-a5a0e6114ad1","resolution":{"observed_at":"2026-08-12T15:09:21.497339Z","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"}}],"paper":{"arxiv_id":"2412.00037","last_updated":"2024-11-22T04:21:32Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T14:56:46.070338Z","submitted_at":"2024-11-22T04:21:32Z","title":"Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":0,"verified_fuzzy":12},"total_outbound_references":32},"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 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2412.00037."}