{"as_of":"2026-08-17T16:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:199c2f99fd4046a1ca2cf3beb7fd5b343230f5b3b7c970f335b8402fe9dc355b","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T20:36:32.696757Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2508.10276/citation-record","integrity":"/paper/2508.10276/integrity","json":"/paper/2508.10276/citation-record.json","paper":"/paper/2508.10276"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.12060","last_updated":"2022-12-07T14:31:27Z","snapshot_observed_at":"2026-08-16T17:25:17.081517Z","submitted_at":"2022-01-28T12:01:56Z","title":"A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.12060","snapshot_observed_at":"2026-08-05T20:36:28.284895Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.284895Z"},"links":{"cited_paper":"/paper/2201.12060","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:0c480b69bfc5dc85cc9398a8d3f049069cd110b5db8e7f4e875dd1202e577f60","observation_id":"ce61aa18-a24b-4d19-9b2a-bca400b96414","resolution":{"observed_at":"2026-08-05T20:36:28.284895Z","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":"2026-08-05T20:36:41.345286Z","title":null,"venue":null,"work_id":"386cbe81-5a72-45aa-936f-58f6f49a2e79","year":null},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.395027Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:ef5bfbe859bc2897100cbf675d1ccec7074f2d7811974cbdf7b8a7d911ffe9b9","observation_id":"b8d7a010-79e9-4410-9948-9acff8ebf7b3","resolution":{"observed_at":"2026-08-05T20:36:41.355515Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:41.140147Z","title":"4, 697--732","venue":null,"work_id":"3bc9006f-28cb-470e-80a0-a4ffcc37501e","year":2020},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.463494Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:f30fd7e69361d8559ea8820171df55bbaad8e4aa4718ba84cb9db74675d8e527","observation_id":"9b7f5c61-b125-4a64-a5f4-41480d097a8e","resolution":{"observed_at":"2026-08-05T20:36:41.235112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:41.011207Z","title":null,"venue":null,"work_id":"4dfa8419-003a-4dd0-805d-5cdbabeedfcc","year":2016},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.547098Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:a83e05d5a9c79bb21a72568535e4ba621a339b7a6de9765317dd72406dd7c6a0","observation_id":"00014e9b-2c1a-463a-9901-41f37e7c3910","resolution":{"observed_at":"2026-08-05T20:36:41.081949Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.907965Z","title":null,"venue":null,"work_id":"7de11b83-5886-4c11-bd7b-1a7b918d6834","year":2022},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.663174Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:c570cec53c6d3f1f36f34b9eca8e83a6119bb720dbd9e0101d4ac707101446c1","observation_id":"a61caed2-41e0-4eb2-bcf9-ad082ce83ffb","resolution":{"observed_at":"2026-08-05T20:36:40.960184Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.767432Z","title":null,"venue":null,"work_id":"99fd2093-1de0-4428-a915-cb4b1efacdce","year":2003},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.745059Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:44e062b85ba2b7640f190e8f97a80aef03b4f2e5db097656cee6ee22c359e5d0","observation_id":"22bc4c91-1458-4f27-93c5-1060d79f1bee","resolution":{"observed_at":"2026-08-05T20:36:40.828832Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.589623Z","title":"754, 281--312","venue":null,"work_id":"8929d067-1f09-41dc-8e85-db5956d9a280","year":2019},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.837956Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:f7bbbb6207b35ecdaa3f38e3568e3cd52092ce4cd6ddcbb9b6779cdc2541d206","observation_id":"572fea8f-3fe1-4ea4-8a67-8a487c92ec8e","resolution":{"observed_at":"2026-08-05T20:36:40.668703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.14359","last_updated":"2022-11-08T01:15:14Z","snapshot_observed_at":"2026-08-16T16:21:09.201362Z","submitted_at":"2022-10-25T21:57:27Z","title":"Deformation Spaces, Rescaled Bundles and the Kirillov Character Formula","version":2},"cited_work":{"arxiv_id":"2210.14359","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.14359","snapshot_observed_at":"2026-08-05T20:36:33.494818Z","title":"Deformation Spaces, Rescaled Bundles and the Kirillov Character Formula","venue":"math.DG","work_id":"2df2d001-8854-4d3c-90a4-9b3c2572965f","year":2022},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:28.910589Z"},"links":{"cited_paper":"/paper/2210.14359","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:9b8fd666f9e521ce2a857f3173c6f3ff5ba191bf81f75b2182b5ecf561f331c3","observation_id":"804186be-ea05-4207-9f43-8c867a9443e6","resolution":{"observed_at":"2026-08-05T20:36:33.547973Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.422420Z","title":"2, 439--483","venue":null,"work_id":"cbc666fe-e53c-4016-bdf1-7238dd399ae9","year":2018},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.002120Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:2006ad3fcba6aebba4ff033e66eecbf7682c699c667c482550c13584cfa30797","observation_id":"5be8c76f-fe01-44a2-9e21-4bff8f413a2b","resolution":{"observed_at":"2026-08-05T20:36:40.504966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.257895Z","title":null,"venue":null,"work_id":"cd209ceb-857e-444f-934e-aab10980a82d","year":2003},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.119066Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:f086b4d5445e5c5c1893b565d03f5e1a039f3ece5633ac77a88af1d073e27687","observation_id":"802a59a1-f065-4f77-b260-58926e376585","resolution":{"observed_at":"2026-08-05T20:36:40.316957Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:40.146623Z","title":"760, 267--293","venue":null,"work_id":"0aed8eb9-53e2-43b5-969f-af9faea7e3a7","year":2020},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.235623Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:d2ee813745d5014f4c76cd1704e2d1cbe5d15806696b22e2f6fce937a9f58ddc","observation_id":"a0253616-ee27-45a6-9c5d-baffcef693cc","resolution":{"observed_at":"2026-08-05T20:36:40.201553Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.998018Z","title":null,"venue":null,"work_id":"6feeaaf2-6677-47c4-8f57-84349d979489","year":1994},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.288214Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:e31974d0000f85dc0dbd6d529afa4d27ec1e0df4cd732ffda3d34ca4c67bcf02","observation_id":"e3698d97-ce3d-4f4a-9b39-576269ec0749","resolution":{"observed_at":"2026-08-05T20:36:40.047825Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.840863Z","title":"2, 631--661","venue":null,"work_id":"68df45a6-0707-4d7b-995f-415845934689","year":1990},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.384154Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:b0ddc82d2af4961336765b8e07d68e6226b1390b896a48737e8535a5e7fc5cbc","observation_id":"1999424d-b9ab-4d88-aac1-967b4c527a06","resolution":{"observed_at":"2026-08-05T20:36:39.936682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.05851","last_updated":"2018-11-13T02:41:03Z","snapshot_observed_at":"2026-08-14T22:27:05.267852Z","submitted_at":"2015-10-20T12:12:41Z","title":"Tangent Maps and Tangent Groupoid for Carnot Manifolds","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.05851","snapshot_observed_at":"2026-08-05T20:36:29.463978Z","title":"http://arxiv","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.463978Z"},"links":{"cited_paper":"/paper/1510.05851","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:db72966154cbe1cef6a5a926f63978a07758fc351810bf51421f75d3aa0a2401","observation_id":"d0a9b451-c0a1-4f6b-a6c5-2bf32e593a4b","resolution":{"observed_at":"2026-08-05T20:36:29.463978Z","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":"2026-08-05T20:36:39.662818Z","title":null,"venue":null,"work_id":"91153229-5def-4dda-b74b-70bbcfdaf7bc","year":2014},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.552253Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:dde86e32b824b23dedf89f9ad173b107f9484937b99bd93d45a35c7dec71f0ed","observation_id":"10a25b2d-97dc-45d8-8330-265543f3e5b8","resolution":{"observed_at":"2026-08-05T20:36:39.720692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.500811Z","title":null,"venue":null,"work_id":"dee689dd-b827-4420-90fb-2ceadc266171","year":null},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.656958Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:ebf88044cbf5a739a1a3f8727a6c1118dccf67eec31e48b63bfce52e3f8b3a4c","observation_id":"3cd5dd42-310f-4eb9-af6a-c7dc211c4415","resolution":{"observed_at":"2026-08-05T20:36:39.556400Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.328049Z","title":"1, 115--142","venue":null,"work_id":"9a9e7025-d962-4e4c-a901-cda58cd6ecf9","year":2017},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.735182Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:5647bde7ba2dd41518b1fc6ee38773a93c2f0fa6277b912add6f40e4fe58d116","observation_id":"44574154-8b54-4e41-94b3-2d9062374749","resolution":{"observed_at":"2026-08-05T20:36:39.410628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.198802Z","title":"9, 1285--1305","venue":null,"work_id":"4e1ba0ab-f578-4504-aa35-328af8709882","year":2009},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.798714Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:22cb5a814331e472291778ab353a61a3b4dfce0e43ef14640a1846ac2d4d2e34","observation_id":"fd52aa98-a2e1-4ceb-a735-4210e35f3951","resolution":{"observed_at":"2026-08-05T20:36:39.251888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:39.047871Z","title":"1, 21--36","venue":null,"work_id":"8a0087bf-b6c6-4539-b9d2-66c3f8376548","year":2012},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.866580Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:bc548b73c317f21732f24c69f5ec6b358b9c66ba1e160b19b563e6736dce19e1","observation_id":"a38fc6dd-5fe8-42df-8a16-21f916ed7eaf","resolution":{"observed_at":"2026-08-05T20:36:39.102392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.895414Z","title":null,"venue":null,"work_id":"40e3b832-b6a9-478f-9796-ba9f1afb165c","year":2019},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:29.946810Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:160ca72aca8ddeff4ab5465e492c590f48b629e96062a870f742e7aabe1ee9e2","observation_id":"2a0ecc43-82f5-4a85-a26a-a1a526992794","resolution":{"observed_at":"2026-08-05T20:36:38.978430Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.728616Z","title":null,"venue":null,"work_id":"9592a0e9-bddf-435e-baed-d6c978f9055a","year":2023},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.062001Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:1ed5cad22aee428233dc24ad947623679988c95b6eb93b7fa71dca81485fa8e9","observation_id":"6691e714-2c67-480b-8f4a-6529d9f69e10","resolution":{"observed_at":"2026-08-05T20:36:38.802610Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.528076Z","title":null,"venue":null,"work_id":"74580cde-d5f3-4022-b248-5635bee36609","year":2007},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.113120Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:51164001c8998c75b0fd2ccc57dd5c70f8603d3da6950690af20b2c7b1aee30c","observation_id":"4ee8b6bd-5f87-4c7c-b997-910aeb0945ea","resolution":{"observed_at":"2026-08-05T20:36:38.632035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.02457","last_updated":"2023-12-05T03:15:28Z","snapshot_observed_at":"2026-08-16T14:37:38.607465Z","submitted_at":"2023-12-05T03:15:28Z","title":"Linear Weightings and Deformations of Vector Bundles","version":1},"cited_work":{"arxiv_id":"2312.02457","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.02457","snapshot_observed_at":"2026-08-05T20:36:33.329209Z","title":"Linear Weightings and Deformations of Vector Bundles","venue":"math.DG","work_id":"5920ae0d-115a-49af-83c0-845b847d97be","year":2023},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.184292Z"},"links":{"cited_paper":"/paper/2312.02457","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:3c94293163764e6cef91b54b1e8318a47360a14ae8d9d21abc8a65032f25fb98","observation_id":"388ad8f6-bb9b-497f-8523-5c9b7f3774ba","resolution":{"observed_at":"2026-08-05T20:36:33.390461Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.392907Z","title":null,"venue":null,"work_id":"b022a995-0a8e-4009-a294-8fd85633e69f","year":2019},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.283683Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:ea93936fdddada3332e0ae8ba9de8f6c235eb2f20f628ab91423dd4300031449","observation_id":"1790a5b4-a562-4670-a22f-962a7d5c4512","resolution":{"observed_at":"2026-08-05T20:36:38.479985Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.221016Z","title":null,"venue":null,"work_id":"64dd4e7f-17ed-491b-bd99-0dbf585279b2","year":2013},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.393463Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:00e1fb052e4c3b54092b953f2056b99a98f93bddc73982417c5279a2bec1c984","observation_id":"3f7e3cbf-d068-4735-b50c-88bb039305e6","resolution":{"observed_at":"2026-08-05T20:36:38.306625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:38.073547Z","title":"7, 2979--2993","venue":null,"work_id":"7c0b8259-e7c8-45ff-8ab4-32e87fc7de8e","year":2023},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.472178Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:14f2d93fb845512146c43aa71b961c539985c08d66de939780c2ceb5dcdf9e17","observation_id":"fc9d3d18-9599-43cb-8870-7adb1d3776e3","resolution":{"observed_at":"2026-08-05T20:36:38.134676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:37.867516Z","title":"5, 779--816","venue":null,"work_id":"963ccc65-5918-4485-87e8-f8cd455fd0e1","year":2014},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.574792Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:45c7341f3397836c396370a6fefbe1443f2eacff4642f2c798ff455da6224b92","observation_id":"729b0a41-63ec-4db9-a63b-a483803842ed","resolution":{"observed_at":"2026-08-05T20:36:37.945715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:37.699889Z","title":"3, 315--363","venue":null,"work_id":"51189d5f-9dc2-4d64-a8e4-34d153a897bc","year":2010},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.652113Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:b6da8d9605e40a87a2e26a4fe511587298d3dbcf4692b16bbe68487e0a0aa8e7","observation_id":"b6d8724c-eb90-4457-a54b-a5594ac5905d","resolution":{"observed_at":"2026-08-05T20:36:37.789812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:37.525688Z","title":null,"venue":null,"work_id":"14cdddc3-75e7-49c7-86e6-821605a1d297","year":2022},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.759046Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:7c2ec0e963bbdf8149d89e651511858f99ce0f337587e53bd17fbb62e04529f2","observation_id":"339a6974-8c8d-4b2d-95f5-bc9f06e0f138","resolution":{"observed_at":"2026-08-05T20:36:37.610078Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.00442","last_updated":"2022-01-03T00:50:17Z","snapshot_observed_at":"2026-08-16T17:30:40.938886Z","submitted_at":"2022-01-03T00:50:17Z","title":"Singular Lie filtrations and weightings","version":1},"cited_work":{"arxiv_id":"2201.00442","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.00442","snapshot_observed_at":"2026-08-05T20:36:33.172985Z","title":"Singular Lie filtrations and weightings","venue":"math.DG","work_id":"289086a6-1dbd-48bf-9ab4-f742f5cdce14","year":2022},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.831003Z"},"links":{"cited_paper":"/paper/2201.00442","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:b4418bb2608202621699f7e24da3c2684cfc8e594c6d041c4941c5129ed01281","observation_id":"026fa312-7433-47be-80e5-3693b28f9bdf","resolution":{"observed_at":"2026-08-05T20:36:33.239364Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:37.340047Z","title":null,"venue":null,"work_id":"c6dd0f9e-3944-4d7e-8bf9-40ca0a7d51c2","year":2023},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:30.942719Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:78e00c2ef299b1b75548806ea61618f5276953ff3ab9b4a839c51a5f3f8e8576","observation_id":"27b2c0d8-88c1-4fde-9ec7-3c267a835a91","resolution":{"observed_at":"2026-08-05T20:36:37.423156Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:37.171862Z","title":"213, Cambridge University Press, 2005","venue":null,"work_id":"a7f6d491-c498-4936-b0d4-d84ebe0c30ff","year":2005},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.030901Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:2acbfaf221c3b43d13121ee1b32c18268ee42a1b0b121778d2c5e39e17d142ff","observation_id":"84a7f426-2dd1-4257-896b-3c68bd55207d","resolution":{"observed_at":"2026-08-05T20:36:37.241638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:36.940851Z","title":null,"venue":null,"work_id":"61917d8c-a5a7-4ae3-b39d-cd45eadc27a1","year":2017},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.119455Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:81f7302d94fa5a64f0d196bd980490d0ccef81a0fb62f2d7a1b612ac255defa3","observation_id":"d78d256a-fc4f-43e9-b05e-5c7ddc43c12e","resolution":{"observed_at":"2026-08-05T20:36:37.036269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:36.788341Z","title":null,"venue":null,"work_id":"f11a5f84-e93e-4a41-a44e-cb103fcde8e5","year":2017},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.175551Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:f2e2f4e9c919a2a3ce7a2d4c85f984bc830d6c965d3d081d2a0601d949479185","observation_id":"51fb9fc4-dc73-4d2a-a3d7-a55c5f60092f","resolution":{"observed_at":"2026-08-05T20:36:36.856966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:36.559932Z","title":"1, 224--245","venue":null,"work_id":"78436947-1d50-4798-aef9-18457cc8c953","year":2021},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.244822Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:9ae6b691a7d8789821d62625b810c27b7b818fd33ed78c24560fa536b3595f5b","observation_id":"a3884fae-8ab4-46bd-904e-fa16f140d9c1","resolution":{"observed_at":"2026-08-05T20:36:36.659500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:36.368156Z","title":null,"venue":null,"work_id":"3341fbcd-1894-48c5-864f-407efcbc9f80","year":1982},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.315970Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:9875bc832511de8eb0cd8f76d05fae0c729d49533914523834b27e1c4de08a15","observation_id":"a80c4cd9-85e8-439a-965f-5b2919e04893","resolution":{"observed_at":"2026-08-05T20:36:36.450010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:36.134202Z","title":null,"venue":null,"work_id":"bddb4875-890a-4920-bcc2-d173a8b8dcb2","year":1996},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.402544Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:e50785deeec50b491d7daea06571b30b6c064f43fa8f3f79bdbd67adcf85a527","observation_id":"ca029307-48a2-4278-b3ff-eb7e50095b36","resolution":{"observed_at":"2026-08-05T20:36:36.255232Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:35.940151Z","title":"91, Cambridge university press, 2003","venue":null,"work_id":"c24c4b33-b873-4279-8c30-c6147105c25c","year":2003},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.494391Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:60bba5c41573883d995c032197f78abd57a188887d438a9be346ff90d3c61c91","observation_id":"38bb2ee7-af5e-4146-b82a-1f0c61e70e4b","resolution":{"observed_at":"2026-08-05T20:36:36.022191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:35.684744Z","title":"1, 101--115","venue":null,"work_id":"ec410d56-d655-4b97-a471-aad6896ac56b","year":2006},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.556517Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:8649ff8eb02d808db27d7506c463d0a5a620bafe23dd0ba8641bce33f4af1550","observation_id":"62cd3399-5fec-4c01-88ca-2683167015be","resolution":{"observed_at":"2026-08-05T20:36:35.840213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:35.538753Z","title":"9, 3135--3145","venue":null,"work_id":"cccfb6d9-9dbd-49eb-ad37-5664be498580","year":2010},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.638012Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:30dab75f2b16369f4e6537b3f86b665ef77556a4bb4d73577d256b8afd7343ca","observation_id":"f93d47e1-2ddf-49a0-adae-b30e56436a69","resolution":{"observed_at":"2026-08-05T20:36:35.602120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:35.320081Z","title":null,"venue":null,"work_id":"dcd474ca-d585-4c73-9f45-f489c1e07661","year":1970},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.706143Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:03e2c08277445c0546c2e1d0079c012145fb6d99bbf3c265d6bdd0975d00c979","observation_id":"b7ede562-a0cc-4928-a545-9a106f5ce36c","resolution":{"observed_at":"2026-08-05T20:36:35.449325Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"dg-ga/9710030","last_updated":"1997-10-28T21:22:45Z","snapshot_observed_at":"2026-07-07T03:11:28.644351Z","submitted_at":"1997-10-28T21:22:45Z","title":"Classical lifting processes and multiplicative vector fields","version":1},"cited_work":{"arxiv_id":"dg-ga/9710030","doi":null,"metadata_source":"pith","pith_arxiv_id":"dg-ga/9710030","snapshot_observed_at":"2026-08-05T20:36:32.962445Z","title":"Classical lifting processes and multiplicative vector fields","venue":"dg-ga","work_id":"b891fb48-855e-4815-9376-954b7d12dbcd","year":1997},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.772267Z"},"links":{"cited_paper":"/paper/dg-ga/9710030","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:3a78dd240ace42226a4df301bb0f39e8b08a707ccf857160445df568d1b97b5c","observation_id":"d177dfc1-3d51-49ea-b3e1-33c05a32c522","resolution":{"observed_at":"2026-08-05T20:36:33.071884Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:35.086001Z","title":"3, 445--467","venue":null,"work_id":"9fc25dac-b012-4cde-b1fc-595d725110b0","year":2000},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.863539Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:81940e13a5258a93e8410dbbaacc01fbe85707894b799ba166cd0ed5157e8831","observation_id":"7cb7c38a-4e93-4567-9c35-f8c0ca8625d5","resolution":{"observed_at":"2026-08-05T20:36:35.184740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:34.888129Z","title":null,"venue":null,"work_id":"f4636996-4a12-4feb-b05d-85802712bff6","year":1967},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:31.931461Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:606e9314a09f5a91ee2738ac32a8590dd403ed6225e52714f9a52c3c7caeaf4b","observation_id":"c7de7d79-0265-4755-ba76-233a0310c258","resolution":{"observed_at":"2026-08-05T20:36:34.978240Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:34.676834Z","title":null,"venue":null,"work_id":"f0d721f9-c936-42fd-a7b3-fa2a259bc50e","year":1988},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.005812Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:1e4a2e02721a35674de7ad3a6e9077fd5fb84dbb898b7872c8b88f007ae265a7","observation_id":"0de32bdb-51b7-401c-9970-53738eb880f3","resolution":{"observed_at":"2026-08-05T20:36:34.762159Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:34.506023Z","title":"793, Springer, 2006","venue":null,"work_id":"a354bbf3-94a1-4392-a40e-74de7cf1af8d","year":2006},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.085058Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:b3aae26900b48cf60bfc042fc61c251adfcb42c94a9e0e5ae890739e2b1ca4eb","observation_id":"6b065476-43d1-4ab1-8eb3-f4ef28fc8960","resolution":{"observed_at":"2026-08-05T20:36:34.596900Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00341","last_updated":"2024-10-19T07:46:26Z","snapshot_observed_at":"2026-08-16T14:38:35.205794Z","submitted_at":"2023-12-01T04:28:17Z","title":"Convolution Algebras of Double Groupoids and Strict 2-Groups","version":5},"cited_work":{"arxiv_id":"2312.00341","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.00341","snapshot_observed_at":"2026-08-05T20:36:32.826748Z","title":"Convolution Algebras of Double Groupoids and Strict 2-Groups","venue":"math.OA","work_id":"fdf5473d-b581-4dd0-8d15-b7a37ac00a2a","year":2023},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.179248Z"},"links":{"cited_paper":"/paper/2312.00341","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:6e31ce8d3d4b092e7bfeb022d3621ca58de688e117ac8dfce4e49ddb4b7d057d","observation_id":"8dd197ec-6a2e-4169-9d72-8930c6f38671","resolution":{"observed_at":"2026-08-05T20:36:32.867231Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.00265","last_updated":"2017-07-05T21:50:38Z","snapshot_observed_at":"2026-08-14T20:50:15.832709Z","submitted_at":"2017-07-02T09:14:16Z","title":"Letters to Alan Weinstein about Courant algebroids","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.00265","snapshot_observed_at":"2026-08-05T20:36:32.244222Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.244222Z"},"links":{"cited_paper":"/paper/1707.00265","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:d6b97cc6df85be3a500c84d2ac1812b6ffa56d387a303521d2819f3e57a70a10","observation_id":"80d0596b-98da-43bc-8ad4-b2816069ba28","resolution":{"observed_at":"2026-08-05T20:36:32.244222Z","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":"2026-08-05T20:36:34.311083Z","title":null,"venue":null,"work_id":"e35e6a0a-0017-4b81-a27c-9caddca73be7","year":2018},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.318594Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:aece786feb7ceb37b4939c319fa32f00cef99fdc1174cd25d61b8341dc4734bb","observation_id":"c6f14720-08bc-41dc-8a56-eb568ba77550","resolution":{"observed_at":"2026-08-05T20:36:34.388888Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:34.131363Z","title":"2, 428--429","venue":null,"work_id":"42cec4d5-b2b8-4d71-8d3f-fc891225fac3","year":1997},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.408733Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:147ac9567646c814c1e3da812e80646b3335c75fc2b80caa515203bdbd82e642","observation_id":"351618ee-d2c1-4195-8043-bf8e7df0f74c","resolution":{"observed_at":"2026-08-05T20:36:34.240978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:34.006321Z","title":"6, 1000--1012","venue":null,"work_id":"4619f473-a9fe-4c06-9a42-9fa1feef84ff","year":2017},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.461338Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:33c211c03257e2fc0fa16d4d15ca356ff0092941d5ad7df17d0f96f0ab1e9277","observation_id":"d79ffcd4-8a7e-4857-b07f-2c733120f3aa","resolution":{"observed_at":"2026-08-05T20:36:34.069060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-05T20:36:33.820377Z","title":"756, 151--182","venue":null,"work_id":"686811d2-912b-4be5-b54c-e2d5eaa019df","year":2019},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.544731Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:73a37af7ed9deacd800b797bdc6829d614b887fa9ff3dd56f91e16cbed4bc642","observation_id":"2dbdfa10-3273-47aa-bd00-e6d014fc0dae","resolution":{"observed_at":"2026-08-05T20:36:33.909277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.10272","last_updated":"2018-10-24T09:49:48Z","snapshot_observed_at":"2026-08-14T18:10:05.228949Z","submitted_at":"2018-10-24T09:49:48Z","title":"On pseudodifferential operators on filtered and multifiltered manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.10272","snapshot_observed_at":"2026-08-05T20:36:32.621888Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.621888Z"},"links":{"cited_paper":"/paper/1810.10272","citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:1fdf61352b71f0665e52a880acad91cb70edd781e092cbaec73c1b31b6d41aee","observation_id":"2ca151b8-4df4-4e40-a906-b769cec8c049","resolution":{"observed_at":"2026-08-05T20:36:32.621888Z","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":"2026-08-05T20:36:33.653900Z","title":null,"venue":null,"work_id":"651413af-a043-4934-8c34-dbe208c502ba","year":2009},"citing_paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-05T20:36:32.696757Z"},"links":{"citing_paper":"/paper/2508.10276"},"observation_digest":"sha256:d2d1addcb1f6896f16ab0d16b8be24337d55d35bd663b2f2d6c12783f66dddbb","observation_id":"d2bac489-8bb8-4da6-9bb1-2bc63e82b63a","resolution":{"observed_at":"2026-08-05T20:36:33.722273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.10276","last_updated":"2025-08-14T01:57:31Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-14T01:47:10.758915Z","submitted_at":"2025-08-14T01:57:31Z","title":"On Multiplicative Weightings for Lie Groupoids and Lie Algebroids"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":5,"verified_fuzzy":21},"total_outbound_references":54},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2508.10276."}