{"as_of":"2026-08-09T08:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d92056e685f75962fa6a13b7f7ace6420730572b6ac591ddec352d8bd920e1bc","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-25T22:03:10.620754Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2606.24553/citation-record","integrity":"/paper/2606.24553/integrity","json":"/paper/2606.24553/citation-record.json","paper":"/paper/2606.24553"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0002-9939-2012-11323-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Proceedings of the American Mathematical Society","work_id":"cbd0f336-5ed7-4425-94bb-d44d191bbb55","year":2013},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:aae8207e7317e106602727c18105265a2362dab3cc52d9acce5f39efc7f24be4","observation_id":"982878c7-803e-4119-9dc1-be313b62a8e1","resolution":{"observed_at":"2026-06-25T22:08:31.437704Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4064/fm-163-3-277-286","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Fundamenta Mathematicae","work_id":"54364ba3-87c3-4951-9a68-3571f96ccc66","year":2000},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:1c78d60dcd4c243c970ff1db1e0f8fd9f195596e1ea9593208147d00712660fc","observation_id":"dd140404-03ea-433c-9ab1-9ad2642feab0","resolution":{"observed_at":"2026-06-25T22:08:31.439263Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00222-019-00863-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Inventiones mathematicae","work_id":"3b15d198-3e53-4780-83f3-94428f281c8d","year":2019},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:02363f6af645184e902e193a05e08e1ec1b109b336cfdce590c006461d9a7981","observation_id":"1adc7d84-59f7-4391-9271-870cdb85b5d8","resolution":{"observed_at":"2026-06-25T22:08:31.447647Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/plms/s3-73.2.358","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Martin, G","venue":"Proceedings of the London Mathematical Society","work_id":"dd0aa639-68f1-440f-b01c-3184142553a8","year":1996},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:0355e6a12bec9f42fb89e3aae0503fc21fcfc37fd9489bb2ff148e520abafbef","observation_id":"7ef72d6e-79b2-40c9-a2d5-a43c47be20bc","resolution":{"observed_at":"2026-06-25T22:08:31.444345Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/tran/8144","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"c75b3a34-23a2-4fbb-bd8f-c837087876e2","year":2020},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:bc292817e957cd270d008dd221739f29c9bc532729c270ea3cce79d2911b7de7","observation_id":"686a33c6-a5af-43b8-bbc8-b3c2d9ac9851","resolution":{"observed_at":"2026-06-25T22:08:31.449137Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"When do two rational functions have the same","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:631398541879d72397bbf4a12a1e10da9aee7f130ae0de7b90a852afe09a0a06","observation_id":"eaf04884-a83c-4cb1-b354-2ac41971c592","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:2b461f3ff1e96f95354c9e4d6d7430892c5e2bff6a35a20b6ffc1c1845921338","observation_id":"e17ff9e8-7f6f-4a70-9ccf-e4fed03b9ef3","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"Houston J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:f6c07454a0ef5da4fa3dd321455eeb740e830388f8bc991a979ee576ed347baa","observation_id":"8d961d64-2611-4e54-80ba-70b2a3656983","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1007/978-1-4612-4422-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"TITLE =","venue":"Graduate texts in mathematics","work_id":"1e9aebdb-bb9a-4aed-9861-8722d3df0fad","year":1991},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:301c6c8670f594734ca0ced420534fbb1e73ef25a068030fef5f0835405ce57b","observation_id":"9f38f1c7-b276-478e-b62c-615e14e5912b","resolution":{"observed_at":"2026-06-25T22:08:31.442674Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s1088-4173-09-00195-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Conformal Geometry and Dynamics of the American Mathematical Society","work_id":"bd7cddfc-06d3-4235-a577-0ced8ed4257b","year":2009},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:9971efcae545a8b686c5d51e432b1665e30299582f6cdb13c125660090fa54a3","observation_id":"b4b6b040-59e6-4729-92d0-685f509c7e8b","resolution":{"observed_at":"2026-06-25T22:08:31.440913Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/blms/27.3.239","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Steinmetz, N","venue":"Bulletin of the London Mathematical Society","work_id":"ec94bd00-1d49-424b-a38c-2d9d94e32939","year":1995},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:c4e92e5f0b45d51ef1c1be89e8f5cd6dbf88db8a6d8c6df0cd3c9766b0cd8f3f","observation_id":"b40554ce-4ff9-4f4f-8770-0f1f9e3ee90a","resolution":{"observed_at":"2026-06-25T22:08:31.446087Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0218127496001570","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Internat","venue":"International Journal of Bifurcation and Chaos","work_id":"6853ce08-0f89-48d4-90ef-143ada98bd93","year":1996},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:8688a0e872cc6d442d5aa2b7585bfa9f9b9c713103b0692aaca63a4cb56351c8","observation_id":"d132fd3e-9f54-4d86-a948-292da58ac7b8","resolution":{"observed_at":"2026-06-25T22:08:31.457803Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/s0143385702000032","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Levin, G","venue":"Ergodic Theory and Dynamical Systems","work_id":"65380a81-3469-4a7b-9812-80b85b812f90","year":2002},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:c17206e3e51d39652364aeec03fd62d68f845f97f13138306fb0a8d9b27de80e","observation_id":"73614b7b-70f6-4d16-ac2b-0833ed4d9dc8","resolution":{"observed_at":"2026-06-25T22:08:31.489836Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1201/b10617-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", TITLE =","venue":null,"work_id":"ce0cf45c-7b73-4172-b47a-d61dd4b00569","year":2009},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:8b373fd768269df9047068ef76dbd4bf383b700fd3bb4d797dbbd19f7c577c2d","observation_id":"aadd9b82-e4db-4eb8-a016-cc033a13297c","resolution":{"observed_at":"2026-06-25T22:08:31.483431Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.24982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T19:00:05.855705Z","title":"Bialgebraic varieties of the","venue":null,"work_id":"e9191c2a-4718-41a9-8e2d-b08a5dc0966c","year":2025},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:0aa7aea5e0454bfb8887c0ac0e09d80a6b62cf5b70069e745f0e7832d69d8207","observation_id":"5670f83f-b5f4-4f80-b691-31a25f57842f","resolution":{"observed_at":"2026-07-04T19:00:05.859032Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/s0010437x20007447","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Compositio Mathematica","work_id":"897407d8-1df5-44bb-a9d3-1e3a8250d04e","year":2020},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:ef07a13a1f968df08121c95a677aff128e1fc08d08571706f3bab3202e3c5411","observation_id":"efca730a-6d24-477c-b566-59c895cfacb3","resolution":{"observed_at":"2026-06-25T22:08:31.478329Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-024-02958-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"bfc63ff3-4ddd-47fc-9c58-32bc2a679845","year":2025},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:cd0e964f14455cd176c00ac33239d6bd20d0dee1a6aef0def988054701771389","observation_id":"1ac27481-da26-48c5-8ea0-86b94cab74bd","resolution":{"observed_at":"2026-06-25T22:08:31.480085Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.03384","last_updated":"2026-06-01T15:10:14Z","snapshot_observed_at":"2026-07-06T10:38:55.939381Z","submitted_at":"2021-02-05T19:08:47Z","title":"A differential approach to Ax-Schanuel, I","version":5},"cited_work":{"arxiv_id":"2102.03384","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.03384","snapshot_observed_at":"2026-07-09T21:16:34.113540Z","title":"A differential approach to Ax-Schanuel, I","venue":"math.NT","work_id":"d5ccb9ac-7565-49e2-91fb-dcec91163ccb","year":2021},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"cited_paper":"/paper/2102.03384","citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:89391aa2c85c208bf8a54f776197c346427f8e1164fe274b9273469f2d92a903","observation_id":"76e12c20-f995-4352-8014-0f033668ea6d","resolution":{"observed_at":"2026-07-04T19:00:05.862889Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-023-02614-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"63414b10-ecf0-4135-829a-2c0beddd2f40","year":2024},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:659c96da7ee2d9488c3c1a66cf83ab371772c60fe782479537e77a97960d66db","observation_id":"32632ab9-c4f6-4bf1-9291-a9694eb64f74","resolution":{"observed_at":"2026-06-25T22:08:31.485009Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"2024 , ISBN =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:e5ac1117d871edb70139a222e7f43706b4226cbff293340717c70e33878d0c79","observation_id":"86e7fcad-a852-4986-af09-992e4cf0c61b","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1215/00127094-3620005","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Duke Math","venue":"Duke Mathematical Journal","work_id":"beb6ecb4-1eca-4f3b-b1f3-bd4db0546631","year":2016},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:d50ac1b12a5c7a419e710192310c1ccc37c0831bf335072b8e47dd2c3631f034","observation_id":"280497fd-b1ba-4c50-a7d8-0ef1022b95d0","resolution":{"observed_at":"2026-06-25T22:08:31.488311Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01446522","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lindemann, Ueber die Zahl π,Mathematische Annalen20(1882), 213–225","venue":"Mathematische Annalen","work_id":"84d3ac86-9298-4eeb-870c-23715efdcb6b","year":null},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:16074ca5ca70d8f0857d1162db9feaeada808927cd6ef8a5fd5c20db41df5b5b","observation_id":"86d935ab-b195-4642-aade-ada0cb8d64bb","resolution":{"observed_at":"2026-06-25T22:08:31.486733Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1989297","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"cb338902-c004-4900-87c3-091b43973f14","year":1923},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:3a4b25bf6e22a6c207e288869c6a3b8e7b75b7c4d7e8e8040cd84fbb406fe22e","observation_id":"0666aba5-67b7-49a9-949f-a19cb19b61a3","resolution":{"observed_at":"2026-06-25T22:08:31.450939Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.aim.2010.08.011","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Curry, Clinton P","venue":"Advances in Mathematics","work_id":"54301552-e1ac-4b03-877d-484cc7b7c653","year":2011},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:064bf86ca68dafe85c1e5a74b31fc4d2267331d6f12cfa0e758b8d8c1bcdc765","observation_id":"8c4883c7-1efe-4e8d-b938-0fe56bb3bd30","resolution":{"observed_at":"2026-06-25T22:08:31.481851Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01454845","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"f51fac3e-ed33-4b8a-9996-5a55fa623a55","year":1929},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:8aba9ad9b1aefc32deee79cc0e2722aabf08c9ef9e29d3f69088956aed258b23","observation_id":"d6d0fba9-99c0-44be-9e96-fec322aa4f85","resolution":{"observed_at":"2026-06-25T22:08:31.476581Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01455711","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Annalen","work_id":"08e17715-c3f1-4b36-be99-7d04ced55f25","year":1930},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:02f97a223b8ffbff031bd66a7473b0c7c653a98c13759bf8b3514c533e8fd43d","observation_id":"4ebc8b67-4ac1-4a4b-a67e-f9e515880731","resolution":{"observed_at":"2026-06-25T22:08:31.454474Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01194652","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematische Zeitschrift","work_id":"86c2342e-ef0a-4d2d-9b3b-9d5417daf689","year":1930},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:1dd854ffb23bee348d99c88f24cd78d97a57a4db4fc6347929dcfc3c322450f0","observation_id":"e9ceec0f-5cc0-47bb-9bc0-59f2f771e691","resolution":{"observed_at":"2026-06-25T22:08:31.474882Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"O-minimality and diophantine geometry , SERIES =","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:f2019a31270cf66e7893f081e2f0d0172343e83bfe679b7a16ff5a2a8598b501","observation_id":"c858c860-52a2-41a0-a127-dfd0847a44f5","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"Lectures on the","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:1a1eeb891207174536391d3af6ebdb39111eddd258c0457809bd69152535fda5","observation_id":"f9fd1504-7e45-49bc-ba2d-8d63cd81bac3","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.2307/1970774","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of Mathematics","work_id":"d0459cb5-96fd-49ce-bc33-c54f6dc6502f","year":1971},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:adfc94dcc2df0ee8fb2cce271ec8de5ce6f812773bac7d8a16f5c9c7399a18e0","observation_id":"d2abbd77-d77e-464f-b66c-9e70240c5143","resolution":{"observed_at":"2026-06-25T22:08:31.462629Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"1999 , PAGES =","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:ee1fe841fdc437f76024dcacea3ecf715c6125244115851c3c895cdf7567678a","observation_id":"a99e7298-74d4-45cf-b228-a99d380fcc5f","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1093/imrn/rnz035","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"International Mathematics Research Notices","work_id":"3702aa52-679b-40df-9de5-c8b5e54c833a","year":2021},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:3552dd325f2f7f7023d2fa3d2ac078fae54de3f24f16b7639d0f781ba936ba96","observation_id":"af4b19e3-8033-44ff-8b92-a853e523d331","resolution":{"observed_at":"2026-06-25T22:08:31.461032Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":", TITLE =","venue":null,"work_id":null,"year":1920},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:04a6eb5e815b30b8ca7ed76f4ec647fac7dbacb645fa1005aee82a26a3dd3f22","observation_id":"c7ae5a6f-2b39-42d1-8c6b-5eba5979985b","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"Compositio Mathematica , volume=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:113019d007caea4c6e971aab72046e48ace378425fe2b02e5ad1a5d8340398e7","observation_id":"1ee8704d-dc69-40e0-9ba7-2bd2c100e6ea","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"Annals of Mathematics , pages=","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:fce376c4f345c0981f09c6a61d9c966e4a9a6df867576a8b0f24c093f29950b4","observation_id":"4320b292-fd32-47bb-a273-f5820446fa2a","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1007/bf02567862","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Manuscripta Math","venue":"manuscripta mathematica","work_id":"93f15dff-f43e-4a15-9b58-8d3f56c03166","year":1993},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:da60ad26a23c9e66f8dcb38f4b156d743084a0733574627895566cc8ddff6db5","observation_id":"f1200327-c351-4e6e-895d-bcb27fbbd4e0","resolution":{"observed_at":"2026-06-25T22:08:31.464229Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-662-02770-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Springer-Verlag, Berlin","venue":"Grundlehren der mathematischen Wissenschaften","work_id":"cc4f3e94-2672-452c-8539-5ec2e97b9f2b","year":1992},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:d0ea4fa7d2c5744f3dfd6864219cee44089bfeb6cb8b0340b9a1d80e2bbec5eb","observation_id":"a10a1291-762b-4cd4-9976-49adecc793d2","resolution":{"observed_at":"2026-06-25T22:08:31.466071Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-07-20T19:22:19.468636+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-20T19:22:19.468636+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01234434","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Inventiones mathematicae","work_id":"de9a7cad-77d9-43a8-9af0-bcb450df1e51","year":1990},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:a49eb5730ec885da1369d64c28adcb58909adb324948c739081a60efe6414a58","observation_id":"994a310f-d375-4d94-a4d2-fb127fdd598b","resolution":{"observed_at":"2026-06-25T22:08:31.471308Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0001-8708(03)00144-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Advances in Mathematics","work_id":"de1aa994-6f7a-40c0-a1e5-45e9fc3b96c8","year":2004},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:7fe5fb97809f17923ba27d47dbd49413bac4fbb34b54a433e940868e643c9a72","observation_id":"1a02cbc1-1bed-46bf-a705-c07a7369287c","resolution":{"observed_at":"2026-06-25T22:08:31.473071Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1155/s1073792895000250","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Zannier, U","venue":"International Mathematics Research Notices","work_id":"018c90d2-6908-43aa-a557-6bd4e0ef9ddc","year":1995},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:712063fdfc88b9d73dca1faf89a176dcd64bd6680a37ce41614fe4a23890432a","observation_id":"0d785b74-d6d3-427e-853d-11917f5e40dc","resolution":{"observed_at":"2026-06-25T22:08:31.459358Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/tran/8775","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Transactions of the American Mathematical Society","work_id":"0ea6be7e-7cd0-4fba-9fe0-23aa261fbad1","year":2023},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:8b0dea89fe53a3d23e5fc390894887c6940841678f24703f2ee960a1cbb29e31","observation_id":"4f61b155-a79a-4611-9226-137589501ccb","resolution":{"observed_at":"2026-06-25T22:08:31.467885Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"Local rigidity of","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:3cd9ba24a5c798b5228150299a2123632ce9f1a8c1cca8f09a29d0656d50e9e9","observation_id":"4defac3c-8185-4055-b94b-a1d027db5fca","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1007/bf01236299","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Mathematical Notes","work_id":"5341731d-71f3-49cc-a501-e94265e2b88e","year":1990},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:eb6068940be6c8af0c156abb72230d58f690eb5ace577ae4aeb65c59acfd8344","observation_id":"7d554e0d-714b-4c3d-b5b9-0b002411f812","resolution":{"observed_at":"2026-06-25T22:08:31.456101Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0093672","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"1996 , PAGES =","venue":"Lecture notes in mathematics","work_id":"c43eb4c4-428e-4f9e-aec4-5cbc8893e4b4","year":1996},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:0aeaadc122de3ce3be041e418c7c56e8a8a5a48fbdd234f23cca2f1399662c2f","observation_id":"5853bdb9-3ae0-4073-97a3-6492c21e5e8f","resolution":{"observed_at":"2026-06-25T22:08:31.452845Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-25T22:03:10.620754Z","title":"1977 , PAGES =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:cf853540f8789b2b524a5394ff49af4766d7a4d4b013369138a71aa477103169","observation_id":"83605681-2247-42e4-b848-81dff2a0331a","resolution":{"observed_at":"2026-06-25T22:03:10.620754Z","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":"10.1007/bf01388597","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"TITLE =","venue":"Inventiones mathematicae","work_id":"bbb078c0-fc26-4848-814e-0081b8a9abc9","year":1984},"citing_paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-25T22:03:10.620754Z"},"links":{"citing_paper":"/paper/2606.24553"},"observation_digest":"sha256:5df7e324855f2cde04813f5a7b68cb0fc96728efdad292638fa7fcd36d807e26","observation_id":"10225190-381f-48cd-b777-7ebb28dcfd1f","resolution":{"observed_at":"2026-06-25T22:08:31.469624Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.24553","last_updated":"2026-06-23T13:20:35Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-05T21:10:59.463738Z","submitted_at":"2026-06-23T13:20:35Z","title":"Bialgebraic geometry of B\\\"ottcher coordinates"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":34,"verified_fuzzy":0},"total_outbound_references":46},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2606.24553."}