{"as_of":"2026-08-19T10:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6a251ba9e897cf30e95b53d098956ffb6236eef405f766e256084ee9bade1aea","coverage":[{"denominator":62,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":62,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:15:47.497094Z","state":"measured"},{"denominator":62,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":62,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2505.05167/citation-record","integrity":"/paper/2505.05167/integrity","json":"/paper/2505.05167/citation-record.json","paper":"/paper/2505.05167"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:15:48.298079Z","title":null,"venue":null,"work_id":"883d58bc-90e3-4967-b785-fb8d053a5d92","year":2015},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.267147Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:049f4ab081dc6fc4744ddbb459896bf69ba07390b545d799f4103056398da9ff","observation_id":"9af4aba0-7044-4ff8-8464-6c1e0eaafc57","resolution":{"observed_at":"2026-08-15T23:15:48.301501Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.287716Z","title":null,"venue":null,"work_id":"b48d7356-9d9f-4ef5-a20f-4d53566a734f","year":1966},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.271579Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:21c591ef9cd09179e6a533b07d418c310453291cecc39a8542592d3c0be944d5","observation_id":"715e481f-6820-48d6-896f-7a4e1a262e51","resolution":{"observed_at":"2026-08-15T23:15:48.291213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.277152Z","title":null,"venue":null,"work_id":"8fc125d8-0750-448d-b591-a5ead81f8769","year":2014},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.275278Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:70c1e48ae5700d9e5c4ca242db9c4048c9df4f01fc71d59be34f52b8c6e27b57","observation_id":"29fc7f78-bfbf-4aea-8c4c-5df00f88d9e6","resolution":{"observed_at":"2026-08-15T23:15:48.280992Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.267114Z","title":null,"venue":null,"work_id":"c8c15118-93cf-42a0-a09a-80ac6f3f6e35","year":2009},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.279423Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:e90f77db220e1b7a8858b537fa4d83b1cfb3d5877efa81d0fea549dd2b608552","observation_id":"c88bad2b-809f-48e3-8c45-17eee69c4153","resolution":{"observed_at":"2026-08-15T23:15:48.270694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.256289Z","title":null,"venue":null,"work_id":"963d1a92-bc81-4655-82f2-b450c7865815","year":2021},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.284326Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:aadaadf21e63f3032ee8f6ae2fd082e4b6af7d3af5acb89b464579742ca2f5b8","observation_id":"ed553081-acf2-4ef1-9521-6fba2d223538","resolution":{"observed_at":"2026-08-15T23:15:48.260323Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.246015Z","title":null,"venue":null,"work_id":"1eb896ce-2ac8-419d-b005-50dad2ffaa8a","year":1977},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.287911Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:1d4759c394a20d5c08c6719a242bda68269d94b9fea83f31c73c32115fa72100","observation_id":"6279b063-9621-4480-9fe2-f0be188b52b7","resolution":{"observed_at":"2026-08-15T23:15:48.249710Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.235699Z","title":"Bruveris, L","venue":null,"work_id":"54c054b1-7dd1-4a05-8b5e-0ae9f0a81bc1","year":2012},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.291968Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:43e752417569648b19738a2ba175f7dbebf101c702a5f9efb9c97c5dfcede085","observation_id":"c053eb65-c220-419d-be1e-fe59055addf6","resolution":{"observed_at":"2026-08-15T23:15:48.239693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.225406Z","title":"Camassa and D","venue":null,"work_id":"5a040ed2-e971-46ef-87af-c51a11813318","year":1993},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.295259Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:58573b2c8d667be70d8642b2b2b56a67581c72eb242dbd9a8e241877bf33b703","observation_id":"99465f9a-ffba-45da-8615-12e75965d7fa","resolution":{"observed_at":"2026-08-15T23:15:48.228889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.215185Z","title":"Cendra and J","venue":null,"work_id":"e6f703e6-21dd-45e5-a908-e9bf15f1511f","year":1987},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.298648Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:8a332cb2b40fcd958c116d9f711d4f13378409a75502a4adbc00f02c7877860b","observation_id":"c673aaf2-1dc5-4283-a5e3-56663790a462","resolution":{"observed_at":"2026-08-15T23:15:48.218821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.205007Z","title":"Cendra, J","venue":null,"work_id":"105fa635-beb3-435d-b047-0062d14d66b5","year":2001},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.302168Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:51aced6d5a1d68517982557c7d087180bfc456409351d6f01017caace34e3b03","observation_id":"03ad1164-b35d-4a5f-a8a5-49c80a771673","resolution":{"observed_at":"2026-08-15T23:15:48.208562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.193643Z","title":null,"venue":null,"work_id":"ff78ffa5-dba8-4c1c-abcd-65726a5d790e","year":1968},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.306263Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:2234af2f42271070a5528503caa3b4a6501256d21f4bdfbddc1fffc94fb76cf7","observation_id":"51f1a283-5a47-4142-ba5d-dc82f33ebd00","resolution":{"observed_at":"2026-08-15T23:15:48.197710Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.181388Z","title":null,"venue":null,"work_id":"ff9590d2-b7f1-4181-917b-517c60affd20","year":1970},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.309785Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:029c10462816eeb133c93d775a56fa910634b3b38bfc5d51a35f11d4a2107f2d","observation_id":"f1b97039-16fa-416e-be35-b77c64788dc2","resolution":{"observed_at":"2026-08-15T23:15:48.185734Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.170707Z","title":"Escher, R","venue":null,"work_id":"65b9a8b5-87ff-451c-885f-7d3a4361d7f3","year":2011},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.313265Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:8a15b521d2a263c21f3ee3f89e2e60e24021173e61abe4e1a9c24e07d4c2709f","observation_id":"e3725c7a-290b-427c-8dfc-733c92649f2f","resolution":{"observed_at":"2026-08-15T23:15:48.174363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.159887Z","title":null,"venue":null,"work_id":"58dc5306-c0da-4c57-a880-688b2ec54634","year":2021},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.316801Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:cb63433cb08489aa6f00f3e4b55388fb5988f314cee2dc7e6eba639b4203f246","observation_id":"23e783a5-cf02-4ed4-a053-fbc5d5aa0785","resolution":{"observed_at":"2026-08-15T23:15:48.163435Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.150107Z","title":"Gay-Balmaz and T","venue":null,"work_id":"ec9d48b4-61ce-4afe-aa79-70a0964db5be","year":2009},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.321177Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:91e4a6af92122f8fe2ddca09640e3a1a0497f4d9bb4975d4ea14bf64c9ef5fd4","observation_id":"b26917bc-b269-4e6e-ae6c-cee4679f8c60","resolution":{"observed_at":"2026-08-15T23:15:48.153498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.139872Z","title":null,"venue":null,"work_id":"eba00b33-1470-43c7-89c6-b8a4f3dd8322","year":2008},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.324558Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:a1b6dfd7d771783bbea52d6717c037ca3ba4eb81ac3ff75b0beb450901733e20","observation_id":"6728b9b7-c9f5-41b2-9243-33863b95a560","resolution":{"observed_at":"2026-08-15T23:15:48.143401Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.129486Z","title":"Guillemin and S","venue":null,"work_id":"9c8919dc-afe7-477d-aab4-f7ecb8f21100","year":1982},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.328492Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:25c25c621262e9098eaae199b1e21b75f807aa9a08ac6228f72e1ae20798ac19","observation_id":"664b7223-1119-4ce6-88a8-2a58832a1759","resolution":{"observed_at":"2026-08-15T23:15:48.133233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.119169Z","title":"Hairer, M","venue":null,"work_id":"93560bf7-47e3-410a-bcc9-67ca5c3fdb08","year":2006},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.332484Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:03c1420726b1c65f8633b5803ff95409da81bbfef823f34c6ac5e4f230fb8179","observation_id":"33760131-4b82-488a-8aa2-100077962e2a","resolution":{"observed_at":"2026-08-15T23:15:48.122723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.108889Z","title":null,"venue":null,"work_id":"0fb22580-fc81-476c-953d-dd4a61521906","year":2001},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.336309Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:89b059c7f7ce4217bb1d5c1e097f4276213862635ab2cdb1929ad29fd975cf9c","observation_id":"fef0c2e0-4866-4298-95c4-ea66ebc7b8f2","resolution":{"observed_at":"2026-08-15T23:15:48.112393Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.098136Z","title":null,"venue":null,"work_id":"fddd1a90-7378-4bd5-9051-375627ce5e8f","year":1965},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.339645Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:936498e3efbc39b55e507008ad9a9bc4d297510361adaff6dee13cf16c0e55d2","observation_id":"d5e59905-4fcd-4e09-9571-7ec0fff65a2b","resolution":{"observed_at":"2026-08-15T23:15:48.101672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.087497Z","title":null,"venue":null,"work_id":"035092f1-7230-44bf-a911-36693c09cfcb","year":1987},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.342916Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:3313dfb1ea3d8f54ead61e309707ec53dd5f5c2182458775aadd2c953c829d7e","observation_id":"9b05898a-346b-4d8d-b090-44c6bf7f24ee","resolution":{"observed_at":"2026-08-15T23:15:48.091413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.077497Z","title":null,"venue":null,"work_id":"c0fc73ef-d10b-4aa8-8054-e6f268ff7800","year":2019},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.346721Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:1d1ab7cc73a50f4c96cfbb3ca8de2f7ccd95e4c0bcb13ced4cf7a5cacb1a4a11","observation_id":"f8659536-ba9d-4aa4-b0f3-66fecbefc01c","resolution":{"observed_at":"2026-08-15T23:15:48.081333Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.09564","last_updated":"2024-09-19T19:34:45Z","snapshot_observed_at":"2026-08-16T13:25:42.118211Z","submitted_at":"2024-08-18T18:30:02Z","title":"31 Lectures on Geometric Mechanics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.09564","snapshot_observed_at":"2026-08-15T23:15:47.350327Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.350327Z"},"links":{"cited_paper":"/paper/2408.09564","citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:ada13f4db6c3d24a4be7da74f477e3a2eb5bfd24e63af5bdca28014fd6716527","observation_id":"4bdabf13-4c03-4b6b-9749-4e13ab107cf6","resolution":{"observed_at":"2026-08-15T23:15:47.350327Z","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":"2026-08-15T23:15:48.066546Z","title":null,"venue":null,"work_id":"18927aaf-647d-412b-a400-e01768775878","year":2023},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.354225Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:60d34bef44a6179d0a86c6f7227687cf89e0d05fd5e0106f226229fe9b3020fc","observation_id":"87568bdf-fe3b-4db2-97ac-41995e5385bb","resolution":{"observed_at":"2026-08-15T23:15:48.070681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.055893Z","title":null,"venue":null,"work_id":"f8e8c27b-e309-4d91-a0ed-3fa0ff424a08","year":2009},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.357933Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:7ee63f0b85fede11f03dc70ff9ccd8680fb32a6f9253a10b681fcdd5684379e4","observation_id":"9e9354fc-6886-4c28-a2eb-f1b315560e10","resolution":{"observed_at":"2026-08-15T23:15:48.060029Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1012.0999","last_updated":"2011-06-04T21:42:03Z","snapshot_observed_at":"2026-08-15T05:01:06.833862Z","submitted_at":"2010-12-05T14:30:17Z","title":"Euler-Poincar\\'e formulation of hybrid plasma models","version":2},"cited_work":{"arxiv_id":"1012.0999","doi":null,"metadata_source":"pith","pith_arxiv_id":"1012.0999","snapshot_observed_at":"2026-08-15T23:15:47.555069Z","title":"Euler-Poincar\\'e formulation of hybrid plasma models","venue":"nlin.CD","work_id":"616ca4c7-65ca-4297-9888-3a5c6992cb41","year":2010},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.361298Z"},"links":{"cited_paper":"/paper/1012.0999","citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:0426308ec7780e163406d1ccf7a64b2f60a23a68c7573ee7fec086850d50da68","observation_id":"b0128dbc-2035-41af-b8cf-67afef2b9693","resolution":{"observed_at":"2026-08-15T23:15:47.560852Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.046186Z","title":null,"venue":null,"work_id":"a9c0019c-06c2-4787-8929-1bdfb2c36c9e","year":2018},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.365795Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:d24eb2dc4e4935402946681392558274b7d85b3fff9136a8b23943a0b610c080","observation_id":"1bf8bca1-c8f3-4799-9317-7ab8a624c0bc","resolution":{"observed_at":"2026-08-15T23:15:48.049819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.036776Z","title":null,"venue":null,"work_id":"171a5423-25ec-47e4-83cc-7bc83ec06f5e","year":1982},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.369270Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:bbfe6bd4f9e9d1c750fea53e0debd4386c52ef3dc509e8414324224ae5daed3a","observation_id":"15da678c-b6c1-450f-9d9e-edbcf8c48dd3","resolution":{"observed_at":"2026-08-15T23:15:48.040121Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.026340Z","title":"Khesin and Y","venue":null,"work_id":"6d081e14-ea93-45cf-8c93-13c737ae8767","year":1989},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.372548Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:f109d09f7a1713802d41e05b8e44ac3ff11fa8144105e24dc871e0a48bd30d9e","observation_id":"13e36dac-e054-4f0f-8ef2-b1d4e89a39cf","resolution":{"observed_at":"2026-08-15T23:15:48.029878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.016065Z","title":null,"venue":null,"work_id":"8e5fb341-70e1-4e61-9bef-f3b13d8f6793","year":2009},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.376351Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:ca07f4f180577ec1e10d440d1cdbb4d030571475748e1b68920f6aeb5e1f097c","observation_id":"eef6d892-8ca6-40b0-899f-76321c604ab5","resolution":{"observed_at":"2026-08-15T23:15:48.019636Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:48.004742Z","title":null,"venue":null,"work_id":"ca33dc70-fddb-4ed9-94aa-0a310d4f2f2c","year":1980},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.380351Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:8fcf1e36f93caa4d7312f58556f6fff2c4a82362f7099df471f2d96263283897","observation_id":"4a7929e4-9dee-4196-9b89-c27d9a6a848b","resolution":{"observed_at":"2026-08-15T23:15:48.009325Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.994548Z","title":null,"venue":null,"work_id":"ebb06ee1-54d8-4d34-a0b8-dd7b839cef4d","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.383732Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:ae670d353af1c78d077c56a93e7944436fa39ded2990321f4cdf3ec33be00397","observation_id":"64639102-4830-4526-bdc7-cdbafd9e9c22","resolution":{"observed_at":"2026-08-15T23:15:47.998206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.984362Z","title":"Kriegl and P","venue":null,"work_id":"b8edf751-3acc-491a-9b28-f20a9d9d7c6e","year":1997},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.387254Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:c607440578d4c6e59c081c442459b5e72ac9a9b91c9f6c193b810da23b3af661","observation_id":"2bece197-0de6-453a-af83-5a8ff7f02f89","resolution":{"observed_at":"2026-08-15T23:15:47.987911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.972607Z","title":null,"venue":null,"work_id":"ee7b869d-8804-4bf4-8b0c-44e2a3672e45","year":1983},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.391131Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:f45a0d6cd4ab215cca65535aa06733d67ee97d33185014c631de40c9776136dd","observation_id":"f83148d9-e746-4622-8337-067fa01f1a7d","resolution":{"observed_at":"2026-08-15T23:15:47.977008Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.961088Z","title":"Marcel, V","venue":null,"work_id":"1b73b837-8a64-4517-8884-af3cb88d4331","year":1997},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.394572Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:b004482b9bf3f1798d3dbe04bc3b8f9572de043580afe8c9ae6e47b0b5303b18","observation_id":"609e89ae-ceec-499a-9759-81f7eea7f488","resolution":{"observed_at":"2026-08-15T23:15:47.965696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.950362Z","title":"Marsden and A","venue":null,"work_id":"b09723d9-fd0b-48e6-85eb-fda12b844c65","year":1983},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.398217Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:b19f238dd7da6eee15e0b5e496a57154c34a825e60db9919d881079ac9a7659b","observation_id":"97c54c70-1be9-4456-b831-ddb32046b7c5","resolution":{"observed_at":"2026-08-15T23:15:47.954106Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.939468Z","title":null,"venue":null,"work_id":"d769f9ec-daba-4065-8bd9-a7f46ac5cb88","year":2007},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.401506Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:634a98154e88deeb98fb09d8c184ff294fd7f53d0e1b24e1b3585cb3e9e53308","observation_id":"6115c0c9-0b17-4502-a6e0-24f7dd310d89","resolution":{"observed_at":"2026-08-15T23:15:47.943318Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.928624Z","title":null,"venue":null,"work_id":"e7ff39fa-ca28-4137-9ae6-5607a4c14367","year":1984},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.405420Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:6cda9fbc4eb9a5d04a2d146bb0df02ef397ebe3c9aa6ea2c97e1f057cfc474ae","observation_id":"882ed079-c260-4708-a55e-e0cea0b62b06","resolution":{"observed_at":"2026-08-15T23:15:47.932918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.918166Z","title":null,"venue":null,"work_id":"c0c177ee-fca3-41c5-867d-7151c6cad535","year":2008},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.408953Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:6864bc94b17c8ad3a1392a91ed43f92d677837beaad5c566c5289e03cff3a2b0","observation_id":"aca71637-500b-4676-b5c4-f51b06045e1d","resolution":{"observed_at":"2026-08-15T23:15:47.922049Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.907849Z","title":null,"venue":null,"work_id":"15a954e5-466b-426a-941b-0fd4718b469f","year":1998},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.412387Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:b749896844f9a73c888c352359907a19f0d42771db3192ec287f658893c168ec","observation_id":"4e16be2a-dd8c-4565-95b2-f4de0b629257","resolution":{"observed_at":"2026-08-15T23:15:47.911297Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.897316Z","title":"Misio lek","venue":null,"work_id":"10f11152-1160-4c25-9c3e-034b4bfbf501","year":1998},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.415907Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:e7aef9866a3c6540a953be9ff11708698578889d3e67740897e4415022589351","observation_id":"ffa970da-7180-4431-af40-72daf1eab793","resolution":{"observed_at":"2026-08-15T23:15:47.901065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.885821Z","title":"Misio lek and S","venue":null,"work_id":"f4f538f5-2f67-48e0-932c-87cb8c8fc248","year":2010},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.420970Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:6cffbadbce29fabe2b7e14417675a6833418132bee73be19b62ab9bc5ddd13f4","observation_id":"e75a4106-b8a6-4d5a-8852-7bfab2700c14","resolution":{"observed_at":"2026-08-15T23:15:47.890252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.876071Z","title":"Modin, M","venue":null,"work_id":"ebf03148-fbeb-4d7d-aa96-4c367ebe2c6c","year":2010},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.425825Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:1ee4622096ebfc68222832293ddc45948e49b7ef0355bd60ff35ce67e0934471","observation_id":"c3b4f01f-fdd8-48b4-9559-47aa130b5780","resolution":{"observed_at":"2026-08-15T23:15:47.879522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.866205Z","title":null,"venue":null,"work_id":"a4398307-d775-464e-9eb5-f27cbc700df4","year":2006},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.430435Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:19b7ba9ff668ff1dbcb997a791c0dae9b15ac2630e54959ea41aca83b46a89d4","observation_id":"2f75e4b8-5d48-4f52-848c-7352e6ee704b","resolution":{"observed_at":"2026-08-15T23:15:47.869599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.855991Z","title":"Ortega and T","venue":null,"work_id":"edf6e333-6805-435f-b886-53cf088340e5","year":2013},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.434616Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:83e6068a278ddcc0a1f48f6a5c63762d7ea510f8767a4cfb60467fac5c29efbb","observation_id":"cd8b02d2-83ca-4b38-b0f4-a736c55047b6","resolution":{"observed_at":"2026-08-15T23:15:47.859683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9409067","last_updated":"1994-09-12T18:16:51Z","snapshot_observed_at":"2026-08-18T23:04:29.296743Z","submitted_at":"1994-09-12T18:16:51Z","title":"Extensions of Virasoro group and Virasoro algebra by modules of tensor-densities on $S^1$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9409067","snapshot_observed_at":"2026-08-15T23:15:47.438051Z","title":"Ovsienko and C","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.438051Z"},"links":{"cited_paper":"/paper/hep-th/9409067","citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:4af7088e92310bed99c3c8a690a95f9a4c1a558053a0ef876a5e5494470155dc","observation_id":"cd0c8b69-76ab-4628-acdf-5cdc974705aa","resolution":{"observed_at":"2026-08-15T23:15:47.438051Z","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":"2026-08-15T23:15:47.846273Z","title":null,"venue":null,"work_id":"ea78b41a-1c96-482f-8078-a1dce9a64efd","year":1987},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.442116Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:8f3fbf92f468e62d7e43323b7de8b3e52128ff392cb4939ac4792bed6db8c718","observation_id":"56c111e5-b609-4f4e-a6cf-d1ceded6a695","resolution":{"observed_at":"2026-08-15T23:15:47.849671Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.836282Z","title":null,"venue":null,"work_id":"18528279-c0ff-4f91-a5bc-300ff14702ef","year":1999},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.445411Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:012d398a7953d903a1661463f959d64694d3ab6b4397edbc8337a712fdd882c7","observation_id":"dc3668c2-2953-4219-844d-efa986adf036","resolution":{"observed_at":"2026-08-15T23:15:47.840075Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.825940Z","title":null,"venue":null,"work_id":"51110f7a-abc4-410c-b67b-d62b90c244c5","year":1999},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.448684Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:c827e5fa9e3b1530d51fce888b1e03b7adf1014fdcdd476fd97a1481769f97bb","observation_id":"ab6734e6-fd22-4ca8-8d9e-a31aa1414409","resolution":{"observed_at":"2026-08-15T23:15:47.829926Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.815464Z","title":null,"venue":null,"work_id":"fb8cf05b-fa62-4ee6-8638-744085568ea2","year":1995},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.452098Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:71e5bd2ec438503224e10dfc3995e8c4f9375b61a1f0a6aeebeeaf8c93d07ea3","observation_id":"40215b09-30ff-4fdb-bac7-5326d7ad5e44","resolution":{"observed_at":"2026-08-15T23:15:47.819139Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.804822Z","title":null,"venue":null,"work_id":"6978e528-c799-45c9-ac1c-1e2406c90c5a","year":1991},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.455549Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:af6827f89e59c5dc3026547a0949bb7a6e2cc69e8a84b0aa8582277075339ee1","observation_id":"7cff9442-aa95-4a60-b1b0-e319c8d2511a","resolution":{"observed_at":"2026-08-15T23:15:47.808366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.794905Z","title":"Vizman et al","venue":null,"work_id":"117a1a1a-3540-42f3-ba44-4546d3498d90","year":2008},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.458948Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:217d6b822d5b0bc5609b0bf1d832370b2d19caaf19317b8c69459fcbe861757c","observation_id":"7c4fbea6-9b85-4879-9daa-fd2dffb759e1","resolution":{"observed_at":"2026-08-15T23:15:47.798396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.08034","last_updated":"2015-09-26T22:37:51Z","snapshot_observed_at":"2026-08-14T22:30:41.730383Z","submitted_at":"2015-09-26T22:37:51Z","title":"The SQG Equation as a Geodesic Equation","version":1},"cited_work":{"arxiv_id":"1509.08034","doi":null,"metadata_source":"pith","pith_arxiv_id":"1509.08034","snapshot_observed_at":"2026-08-15T23:15:47.527416Z","title":"The SQG Equation as a Geodesic Equation","venue":"math.DG","work_id":"5099c87e-de9e-48fa-affb-cf05bdbd89b9","year":2015},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.462312Z"},"links":{"cited_paper":"/paper/1509.08034","citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:34a50f7cb51e56e6ba8da42c6bf882945dcf4d37e8d6eb9d75a09ab457d98226","observation_id":"8e91985e-c627-48c5-91dc-7a91a270440b","resolution":{"observed_at":"2026-08-15T23:15:47.532458Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.784373Z","title":"Woodfield, H","venue":null,"work_id":"1ef4ba28-1ebd-446b-9cf1-3d73317bf4f0","year":2024},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.466749Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:8432b790a82e5883cf5cbf4faf9f04f2356fca8dac25d50231f42b7c9abb6d81","observation_id":"f28b71bb-0319-44b3-beb8-be8a21b992eb","resolution":{"observed_at":"2026-08-15T23:15:47.787898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.773564Z","title":"Zeitlin and R","venue":null,"work_id":"c4d04544-6cbb-46df-9d24-33a02b898f8f","year":1994},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.470056Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:989796817c89328df315976574bc3d599565dc93404c355a3f74f365000a9c90","observation_id":"7024bbec-1348-4a06-8e65-a5a6cb365383","resolution":{"observed_at":"2026-08-15T23:15:47.777172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.762800Z","title":"from the group homomorphism property","venue":null,"work_id":"db99514c-4f79-4908-88c2-f7dd9a78eda1","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.473612Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:fdba6631803363c01958d4bb42abef0cd6957445d5091e5620f685fa9022b493","observation_id":"2fb03a09-1db2-460e-9bd2-840814e74975","resolution":{"observed_at":"2026-08-15T23:15:47.767035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.751884Z","title":null,"venue":null,"work_id":"2d0e2979-34e9-48c8-b9f5-672b94a0e5ab","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.478044Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:33380028df1055bfb4ee952f2049bd0b68c656bb4174fd06b91b36792ddb5205","observation_id":"90abc5c1-e305-463e-8420-52af3f3cafd8","resolution":{"observed_at":"2026-08-15T23:15:47.755792Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.740606Z","title":"From the group composition ( f,a )ˆ·(g,b ) = (fg,a +b+ Σ(f,g )), right identity of (g,b ) requiresg =f−1, and thena+b+Σ(f,f−1) = 0","venue":null,"work_id":"a3dbef25-f92b-4716-a00c-b8f68c4a9348","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.481789Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:f418c457b4d4648e2e4a08195703db94ae9a62df6ffd79b3d2cec4786e58d133","observation_id":"ea4c9187-3e07-45dd-a3a6-4edb28d09f96","resolution":{"observed_at":"2026-08-15T23:15:47.744462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.729456Z","title":"Associativity in bG requires (f,a )ˆ·((g,b )ˆ·(h,c )) = ((f,a )ˆ·(g,b ))ˆ·(h,c ) (A.8) Consider the right hand side of eq","venue":null,"work_id":"9141ef1d-1a46-4158-8099-f1fd7c216116","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.485098Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:43444e1ce98269d65c04264bc0ca68e54cc7fd8cf97ddb71e35a017f21e98b29","observation_id":"94b9a021-0611-4573-af7e-7a479f187927","resolution":{"observed_at":"2026-08-15T23:15:47.733704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.718349Z","title":null,"venue":null,"work_id":"98f2adf2-056a-448d-86f3-6094f1d42d6f","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.488904Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:83e38529e508b25eea592c78c4ac78631de9a87b2f3b6f754e3b015ed319ef7f","observation_id":"b3d00fea-83b7-4677-8760-c4d77eb64232","resolution":{"observed_at":"2026-08-15T23:15:47.721904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.706988Z","title":"The inverse can be infered from the group multiplication structure eq","venue":null,"work_id":"0a58b8c9-fb43-45b2-ba9b-5d1e398d4835","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.493005Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:de23a6a7f06972696047f54c80d933aad9a9bc356d84aa320e9702d24c090f00","observation_id":"e174c944-c261-48e3-afb7-8743ca0e3524","resolution":{"observed_at":"2026-08-15T23:15:47.710826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T23:15:47.695707Z","title":null,"venue":null,"work_id":"53814a6c-27cf-4eb5-bda4-5f2834c49066","year":null},"citing_paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T23:15:47.497094Z"},"links":{"citing_paper":"/paper/2505.05167"},"observation_digest":"sha256:6cfbf4b8a7896a0dab59119fcb29051d20f7aaa6e3c39e77142a76667c4a81e3","observation_id":"0de82cdb-9fb7-4913-a690-5ac8f9a51c0b","resolution":{"observed_at":"2026-08-15T23:15:47.699803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.05167","last_updated":"2025-05-08T12:05:12Z","latest_version":1,"primary_category":"nlin.PS","snapshot_observed_at":"2026-08-17T21:03:03.515406Z","submitted_at":"2025-05-08T12:05:12Z","title":"Numerically modelling semidirect product geodesics"},"reference_resolution":{"displayed":62,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":2,"verified_fuzzy":23},"total_outbound_references":62},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2505.05167."}