{"as_of":"2026-08-18T11:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6144db3b3f374318c7bc31be8daa80164ae3cf61a6d86ac8f18d5dd73f0108e1","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:20:57.944598Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2506.00234/citation-record","integrity":"/paper/2506.00234/integrity","json":"/paper/2506.00234/citation-record.json","paper":"/paper/2506.00234"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:21:04.626849Z","title":"Androulidakis and G","venue":null,"work_id":"43f8bcb4-f83f-468e-815c-66caae2a5a16","year":2009},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.542935Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:c1805091dad4774ae82f78d220e811db08b489971049e88fb07e18acfbb2a9f4","observation_id":"5a6b3ed4-d982-4358-a00a-b222fa940667","resolution":{"observed_at":"2026-08-07T12:21:04.742130Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.09492","last_updated":"2025-05-14T15:42:16Z","snapshot_observed_at":"2026-08-15T21:27:32.490759Z","submitted_at":"2025-05-14T15:42:16Z","title":"Homotopy reduction of multisymplectic structures in Lagrangian field theory","version":1},"cited_work":{"arxiv_id":"2505.09492","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.09492","snapshot_observed_at":"2026-08-07T12:20:58.732560Z","title":"Homotopy reduction of multisymplectic structures in Lagrangian field theory","venue":"math.SG","work_id":"986cc3d4-372b-41bc-8580-4e853c267cfa","year":2025},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.592016Z"},"links":{"cited_paper":"/paper/2505.09492","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:3c09a8ee83fefeb9e2b9791854ff3c2c483099af45a43a59c3dfa79c53dd82a7","observation_id":"32d901e8-75ad-45da-bdfa-21a6318103ab","resolution":{"observed_at":"2026-08-07T12:20:58.813831Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9702176","last_updated":"1997-02-25T11:52:49Z","snapshot_observed_at":"2026-08-14T23:25:47.302901Z","submitted_at":"1997-02-25T11:52:49Z","title":"The sh Lie structure of Poisson brackets in field theory","version":1},"cited_work":{"arxiv_id":"hep-th/9702176","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9702176","snapshot_observed_at":"2026-08-07T12:20:58.542160Z","title":"The sh Lie structure of Poisson brackets in field theory","venue":"hep-th","work_id":"1a0c09b5-07e0-4189-a4f0-a6c7e67fddde","year":1997},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.643651Z"},"links":{"cited_paper":"/paper/hep-th/9702176","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:f8703334916e8356accc3616dcd9cb0c49feb2361a0368f249b342e5aa090f5c","observation_id":"c58d2320-01c9-4e8b-8af7-60976501915b","resolution":{"observed_at":"2026-08-07T12:20:58.643391Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:04.415767Z","title":"Blacker, Reduction of Multisymplectic Manifolds , Letters in Mathematical Physics 111(3), 64 (June 2021)","venue":null,"work_id":"23f34078-09e9-40ba-a02e-b521d4f99096","year":2021},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.736068Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:ec734ce278b32c776e4cfac180b8d5d0b944bc986ac03bc3edf74c44e939ae31","observation_id":"44d85304-b80b-4aa3-b43a-172f7d27434b","resolution":{"observed_at":"2026-08-07T12:21:04.534679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:04.265801Z","title":"Blohmann, The Homotopy Momentum Map of General Relativity , International Mathematics Research Notices 2023(10), 8212--8250 (may 2023)","venue":null,"work_id":"9aba0993-d6a6-4901-be74-76f0abe51a82","year":2023},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.837210Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:2bf429c24ddf6107e4f385fead349ef4b5c22ce106d4ceba44b5412949935597","observation_id":"ebf2800a-7b83-4b8e-9f24-1de3437d7a33","resolution":{"observed_at":"2026-08-07T12:21:04.327513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:04.060305Z","title":"Blohmann, Lagrangian Field Theory - Lecture Notes , 2024","venue":null,"work_id":"e00cd055-1928-4bf7-bf44-2d4c204d51ec","year":2024},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:54.912593Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:83780707595f3ef22c2503b929013cba6e645c66d881d04fdcd1cc628ea030df","observation_id":"0877b925-bfd0-43d1-844a-5e2f85372fe9","resolution":{"observed_at":"2026-08-07T12:21:04.166122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03137","last_updated":"2024-07-03T05:10:44Z","snapshot_observed_at":"2026-08-16T16:54:48.673649Z","submitted_at":"2022-06-07T09:21:37Z","title":"Reduction of $L_\\infty$-Algebras of Observables on Multisymplectic Manifolds","version":3},"cited_work":{"arxiv_id":"2206.03137","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.03137","snapshot_observed_at":"2026-08-07T12:20:58.410656Z","title":"Reduction of $L_\\infty$-Algebras of Observables on Multisymplectic Manifolds","venue":"math.DG","work_id":"714e95cc-543d-46e4-8417-21e475b13d56","year":2022},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.049413Z"},"links":{"cited_paper":"/paper/2206.03137","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:fb8dc97fa338463b58989e64cde6b1ef60d385dd6fe02ec3917188e533c192e6","observation_id":"79db5600-44db-4814-99ce-356bb6c92e16","resolution":{"observed_at":"2026-08-07T12:20:58.463844Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:03.902817Z","title":"B \\' u a, T","venue":null,"work_id":"7686aaad-8d7a-480c-a1d9-723e7fffd9e8","year":2015},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.181224Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:b3eb073c09d0a0b9e94567ab88190f5f02c401230e090070f85ac625e9716095","observation_id":"68e7a86d-2a11-4cf4-abef-7934fa852629","resolution":{"observed_at":"2026-08-07T12:21:03.987850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:03.785242Z","title":"Capriotti, V","venue":null,"work_id":"8f2ffdd6-5513-4cdb-8e1a-84e1faa88601","year":2022},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.250328Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:8fa904598ad0e8919a83a223a5654a75dd9aee2f618035de2bc932ada2811bf6","observation_id":"75f38bce-ad01-4cbf-8436-20e12992257c","resolution":{"observed_at":"2026-08-07T12:21:03.839097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:03.614077Z","title":"Cattaneo, D","venue":null,"work_id":"d5de0a8c-0580-42e1-a4dc-be69a076cfbc","year":2006},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.306668Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:ceb9fbf1eb72679b2934c792196a70b35ca7fa915ed22ed920ed771fe3226a25","observation_id":"c9c3d5cd-083b-4a44-a9a1-bd561ffac5cf","resolution":{"observed_at":"2026-08-07T12:21:03.692152Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1304.2051","last_updated":"2016-08-13T18:55:38Z","snapshot_observed_at":"2026-08-15T15:14:11.576153Z","submitted_at":"2013-04-07T19:51:33Z","title":"Homotopy moment maps","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.2051","snapshot_observed_at":"2026-08-07T12:20:55.417989Z","title":"Callies, Y","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.417989Z"},"links":{"cited_paper":"/paper/1304.2051","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:541c5291b167ce37c35ec252b23cc3ec8bf289f40444ccfeaaab4662e450263a","observation_id":"5fca17a7-04a1-498d-b0e7-4d32834d7cff","resolution":{"observed_at":"2026-08-07T12:20:55.417989Z","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":"2026-08-07T12:21:03.389968Z","title":null,"venue":null,"work_id":"1bc1bfb7-6a06-4c9a-9be3-a5317c21871f","year":2014},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.559954Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:9a4e1e2422d51dc68af04091cd68edd751de2ce2cb042a704c1ad3004226da98","observation_id":"b415c764-f96c-43b3-95a4-8e217f8c5d65","resolution":{"observed_at":"2026-08-07T12:21:03.477016Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:03.216721Z","title":"Dippell, C","venue":null,"work_id":"9471d1e6-6585-4483-861b-bd17a72f9f8d","year":2019},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.633409Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:8badb1b6f01e5714743e6e56cf7d76ea6279ecfcae7e9253accbd77b6d34a7bc","observation_id":"b6e04e23-27c5-4286-8eb9-d5cc67bf6d90","resolution":{"observed_at":"2026-08-07T12:21:03.292998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:03.062558Z","title":"De Sole , P","venue":null,"work_id":"3b0656ab-661a-494e-8e87-5ed6b36cd18e","year":2011},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.741440Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:7c9770a20ee035e4d12e6258db2a53d9cdd4c8f6b1a379129f755a2015976aae","observation_id":"4b777aba-1442-40a5-b2ed-4d8858acd842","resolution":{"observed_at":"2026-08-07T12:21:03.149502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:02.883039Z","title":"Dippell, Constraint Reduction in Algebra, Geometry and Deformation Theory , Doctoral thesis, Universit \\\"a t W \\\"u rzburg, 2023","venue":null,"work_id":"117bbe06-3d01-4935-b207-0862dfd6c8b2","year":2023},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.870019Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:1ed6880087a0776396c56732c65c7b2ed0183ddcd59d96556eae17727702b550","observation_id":"7bdb163c-f573-4487-b2a4-572ff56d159c","resolution":{"observed_at":"2026-08-07T12:21:02.972377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.08263","last_updated":"2023-12-13T16:23:06Z","snapshot_observed_at":"2026-08-17T18:10:00.050609Z","submitted_at":"2023-12-13T16:23:06Z","title":"Constraint Vector Bundles and Reduction of Lie (Bi-)Algebroids","version":1},"cited_work":{"arxiv_id":"2312.08263","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.08263","snapshot_observed_at":"2026-08-07T12:20:58.284106Z","title":"Constraint Vector Bundles and Reduction of Lie (Bi-)Algebroids","venue":"math.DG","work_id":"11c52d80-0d61-4d56-947b-28b6ef17ea46","year":2023},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:55.943616Z"},"links":{"cited_paper":"/paper/2312.08263","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:29acd9e0ee48fe3041f554e9a69ed4593325a141d85987f0b55fcd951a5a9298","observation_id":"96e40825-a058-4b24-913c-407eeabba5e5","resolution":{"observed_at":"2026-08-07T12:20:58.341318Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:02.721659Z","title":"de Lucas, X","venue":null,"work_id":"0deb79da-b001-4762-8b7b-c0c5e065453e","year":2022},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.011984Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:3b5050b3400c4c5d5a41feb48943f5dd6c36e312f08f2a0d6a825e6401c4787d","observation_id":"820084aa-864b-4069-bcd3-db70a84e4ed1","resolution":{"observed_at":"2026-08-07T12:21:02.790920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:02.552463Z","title":"de Lucas, X","venue":null,"work_id":"82bfa714-b1f4-47ac-adfb-a494d681052e","year":2023},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.133984Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:dc62b70580ebcb7ca24e178271a0609eb8e0b21f905a8980a4870d6f258bbcc7","observation_id":"875ea79c-7fce-4809-b2fe-87649d79163a","resolution":{"observed_at":"2026-08-07T12:21:02.639368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.05462","last_updated":"2025-05-08T17:54:10Z","snapshot_observed_at":"2026-08-15T23:00:40.779085Z","submitted_at":"2025-05-08T17:54:10Z","title":"Marsden--Meyer--Weinstein reduction for $k$-contact field theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.05462","snapshot_observed_at":"2026-08-07T12:20:56.218169Z","title":"de Lucas, X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.218169Z"},"links":{"cited_paper":"/paper/2505.05462","citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:46cca19752a47d6c5f91c2fb3562dc318b64de7242014056d64a49750a1d8d11","observation_id":"8b6c7a51-3775-4aef-9a45-ef728e075988","resolution":{"observed_at":"2026-08-07T12:20:56.218169Z","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":"2026-08-07T12:21:02.372147Z","title":"Gerstenhaber, The Cohomology Structure of an Associative Ring , The Annals of Mathematics 78(2), 267 (sep 1963)","venue":null,"work_id":"bd1b17cc-9ffb-4934-937f-6409e59541d4","year":1963},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.254230Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:04fc5f64d31fd63686f4b7c732f0058b29878ba120192b1e9a7fde8b38479558","observation_id":"4a08761a-d186-4630-a8ba-d08d92045e11","resolution":{"observed_at":"2026-08-07T12:21:02.460294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:02.189509Z","title":"Gomis, A","venue":null,"work_id":"984c2844-36e4-4b6c-a5c9-02c1744b0eba","year":2023},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.303981Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:e5d58bfc8ff71a65af95015a97aeffcda47e157a65079584dae191e30ca7fc53","observation_id":"3dcfc634-5673-4897-88cf-335b215f15c6","resolution":{"observed_at":"2026-08-07T12:21:02.272853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:02.030723Z","title":null,"venue":null,"work_id":"0e8bd2c8-40aa-4426-a216-a0cb34ae6c33","year":1998},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.379189Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:4753da664b1c8775fb820d45f4a248e31083d1b89ef27dbae2f31ae2b59fbae6","observation_id":"8968ba41-2f97-41ee-8ee4-016d260ea2d3","resolution":{"observed_at":"2026-08-07T12:21:02.099598Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.832224Z","title":"Huebschmann, Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras , Annales de l'Institut Fourier 48(2), 425--440 (1998)","venue":null,"work_id":"0a3f132d-ea56-4110-b242-283dddd5c2cf","year":1998},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.445502Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:8551f4deb9c2af31ecda48bc4230a95f6e97cb1fd8edf7d40488831b8cf753e3","observation_id":"87d72e20-d598-4cea-a53e-fc5080f11428","resolution":{"observed_at":"2026-08-07T12:21:01.923595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.679542Z","title":"Kowalzig and U","venue":null,"work_id":"7cd03539-9ccf-49d4-999e-c19114055989","year":2014},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.505788Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:e7a1170b525e01ba6826329f47b9f00639a771664a5721f9baab93eb57c1433e","observation_id":"e3b89320-034c-4f31-949c-022f1167aba2","resolution":{"observed_at":"2026-08-07T12:21:01.745405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.525115Z","title":"Kříž and May, J","venue":null,"work_id":"4d164c0b-537d-448d-a96a-96f6174badd9","year":1995},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.557064Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:9fe742b89d2e48a854aafa772fb0f4d2e13e2452f50aea2b4b4b733de33b092f","observation_id":"ca1b8d5f-3c44-4375-b162-833eee348d02","resolution":{"observed_at":"2026-08-07T12:21:01.584267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.395677Z","title":"Kowalzig, Gerstenhaber and Batalin-Vilkovisky Structures on Modules over Operads , International Mathematics Research Notices 2015(22), 11694--11744 (feb 2015)","venue":null,"work_id":"7475bd00-5385-4cbb-8309-27376c7fdcbc","year":2015},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.598838Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:fe83ff6fd5eb3bf0ab77996d1352ff464ccfdbddbfe3a40b7665bf931d3dc7d1","observation_id":"e685814b-da27-4be2-b557-ce7d609e5428","resolution":{"observed_at":"2026-08-07T12:21:01.459420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.269589Z","title":null,"venue":null,"work_id":"b809631a-d089-4393-86c5-15a15b98ef81","year":2012},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.670431Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:1ef132710888247007b2dc3d52af951a7a37a024c8e80a169b132197f2907fa3","observation_id":"ab7ada4f-7bfc-4303-8dfd-ee1da1ce16d5","resolution":{"observed_at":"2026-08-07T12:21:01.303648Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:01.106183Z","title":"Lada and J","venue":null,"work_id":"0efbec8b-e63d-45d4-8892-455547d5ed60","year":1993},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.744172Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:0650595514443197f40b7e0a8cc146ae50c45c5b428f03aabf496cfe2b38d98e","observation_id":"5ffa3924-931c-48a8-908d-ffaba3a12173","resolution":{"observed_at":"2026-08-07T12:21:01.196450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.920168Z","title":null,"venue":null,"work_id":"89f726fc-14d9-4fac-ba3f-5ac9d9f71f70","year":1973},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.824395Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:87bd352bfd866fd867905bea7236eed19ee6ebcb59c0e4c279531294956805f4","observation_id":"9e69a81d-f9a5-4402-b068-5756a4b4f1e2","resolution":{"observed_at":"2026-08-07T12:21:00.999401Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.761651Z","title":null,"venue":null,"work_id":"67a733dd-315a-45b0-b540-bf9adf87f44b","year":2015},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.866727Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:7e8fa7f99a23c4b7340c4510d5dd4a82e73436bb5f2db65e3c6c189ea243b423","observation_id":"4c171f48-ccdc-403e-b785-80bdcb1cc552","resolution":{"observed_at":"2026-08-07T12:21:00.833956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.555942Z","title":"Marsden and A","venue":null,"work_id":"36234f81-543c-48dd-bab4-4d11db67fb9d","year":1974},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:56.938127Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:b4fde494bb0740992a599bfa994021b1872c1477369d1fa570199875b71a9a5d","observation_id":"8c493f75-185d-4502-9b92-b45fd694da03","resolution":{"observed_at":"2026-08-07T12:21:00.650312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.409638Z","title":null,"venue":null,"work_id":"6dece6ec-c093-41b1-bf69-788df55feffa","year":2000},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.007804Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:d5b138233db7d885e25edcfcfadda8d7a59e9542fb7276d01fa15f44b0866db5","observation_id":"88f7fece-0608-4668-a6f2-c463f7cfa305","resolution":{"observed_at":"2026-08-07T12:21:00.493489Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.218899Z","title":"Nestruev, Smooth Manifolds and Observables , volume 220 of Graduate Texts in Mathematics , Springer International Publishing, Cham, second edi edition, 2020","venue":null,"work_id":"b9e8ccb9-719f-41c3-b715-8374b7240fa8","year":2020},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.085866Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:e5f101a29a5a726441d7591c62e110816613322fefaf559fe3e44561872527d0","observation_id":"36a83faa-8fa9-4592-84ab-16989add9e92","resolution":{"observed_at":"2026-08-07T12:21:00.315725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:21:00.036175Z","title":"Richter, Lie Infinity-Algebras from Lie Rinehart Pairs , November 2013","venue":null,"work_id":"e26c20ec-38e7-40a4-91a2-c2d48847f671","year":2013},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.182670Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:5f52da08e85c617a33a8e598a1b0c0e73a3410c03e7d3f599b1218226a05ab79","observation_id":"c250f953-2645-4323-843d-1a58fd0f444a","resolution":{"observed_at":"2026-08-07T12:21:00.117690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.867947Z","title":null,"venue":null,"work_id":"56114e15-f92e-4100-b563-31c79d1aab94","year":1963},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.269832Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:85352e1e7a47a954ab6d361bb34705dc7229217ceeeaebad4e772649df08b1a4","observation_id":"df3b225d-7652-456a-aec1-fad8c9bcf5d8","resolution":{"observed_at":"2026-08-07T12:20:59.938917Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.675580Z","title":null,"venue":null,"work_id":"cbc8ad9e-7b74-4fd2-8a11-9e6b477bca5e","year":1995},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.362447Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:e6fb0e5ddc605efb618b0f5867dd005283340ebf82cdfd08884e8c4cb7022961","observation_id":"620ac9cd-6b2b-4653-b298-f0b05c88707f","resolution":{"observed_at":"2026-08-07T12:20:59.789450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.505554Z","title":null,"venue":null,"work_id":"72a21908-505f-4248-9b97-8f7b353212fc","year":2012},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.461099Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:9e5710443e77ded7e860d6d93a97d42d45520f80652a2058391efc9a37a6daf1","observation_id":"cbbf8d24-4494-4e9c-8d1d-f1038b1e0b30","resolution":{"observed_at":"2026-08-07T12:20:59.596056Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1804.02553","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:20:58.147059Z","title":"Ryvkin and T","venue":null,"work_id":"11eadee6-cb03-49a4-95d9-62a9a5c750f0","year":2019},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.560512Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:e5a80e83e2d009548a950e90d1b9f592ff239aeeeb9f51bd31ec0b00507e7923","observation_id":"ecadf296-b084-489f-ab98-60b35d68712f","resolution":{"observed_at":"2026-08-07T12:20:58.193313Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.356895Z","title":"Ryvkin, Observables and Symmetries of n-Plectic Manifolds , Springer Fachmedien Wiesbaden, Wiesbaden, 2016","venue":null,"work_id":"25ca69ea-42f4-43de-b55a-a4d199d4e99c","year":2016},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.637343Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:efe3508b79ebe25b9cf57cb14bd135eaf31bf8cc614d5bbdff257ce65b44946c","observation_id":"1dc81d38-e209-4065-bea0-0400d51ae383","resolution":{"observed_at":"2026-08-07T12:20:59.406179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.215010Z","title":"Sniatycki, Poisson algebras in reduction of symmetries , Reports on Mathematical Physics 56(1), 53--76 (aug 2005)","venue":null,"work_id":"9bdd3d39-6bc7-40bf-85a2-16622d09c734","year":2005},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.737314Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:fa9e8e685939b4c0d25ea7fbdc51e478e99b199de2aa7c4a1a16facde2d62cdb","observation_id":"77309544-538b-48b2-a068-1c5af0aa5cf7","resolution":{"observed_at":"2026-08-07T12:20:59.278093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:59.056986Z","title":"Sniatycki and A","venue":null,"work_id":"5b3fab09-ea10-4821-9e8e-c110f73c17aa","year":1983},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.831167Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:9b3f719f79ff3fa1af19266fbe46a6bbee123a168acb1b20f0156bc8a5dff3be","observation_id":"333625e6-846e-4359-aa07-1623f931d2ee","resolution":{"observed_at":"2026-08-07T12:20:59.111642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T12:20:58.907655Z","title":"Tsygan, Cyclic Homology, in Cyclic Homology in Non-Commutative Geometry , pages 73--113, Springer Berlin Heidelberg, Berlin, Heidelberg, 2004","venue":null,"work_id":"692e9829-3d08-467f-95eb-e647089fba74","year":2004},"citing_paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-07T12:20:57.944598Z"},"links":{"citing_paper":"/paper/2506.00234"},"observation_digest":"sha256:f8edecd98fe3307a7382689b1e23a456d295e74c07f4d6bc86288fa81c642096","observation_id":"535afe8e-3761-4e19-96dd-33e58f68793e","resolution":{"observed_at":"2026-08-07T12:20:58.985304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.00234","last_updated":"2025-07-04T13:33:52Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-17T02:33:16.714286Z","submitted_at":"2025-05-30T21:12:02Z","title":"Multisymplectic observable reduction using constraint triples"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":5,"verified_fuzzy":26},"total_outbound_references":42},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2506.00234."}