{"as_of":"2026-08-09T18:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:64053311ebacdf76e3fd38c2173a5dc8cc06eee5804707d2da93dd188cf40e9f","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T12:48:55.790601Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:25:36.280643Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.01256","snapshot_observed_at":"2026-08-01T07:25:36.280643Z","title":"A Structure-Preserving Nu- merical Method for Harmonic Maps Between High-genus Surfaces","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21469","last_updated":"2026-07-23T16:10:43Z","snapshot_observed_at":"2026-08-08T15:07:58.401291Z","submitted_at":"2026-07-23T16:10:43Z","title":"Morphing Graphs on Hyperbolic Surfaces","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T07:25:36.280643Z"},"links":{"cited_paper":"/paper/2509.01256","citing_paper":"/paper/2607.21469"},"observation_digest":"sha256:01fbe16de0969b1ff4fbcf87396e773bcc40cdad893a952ce3dec1dc664ef5ec","observation_id":"8c881042-6767-44a8-9923-9e9bb87de1f7","resolution":{"observed_at":"2026-08-01T07:25:36.280643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.01256/citation-record","integrity":"/paper/2509.01256/integrity","json":"/paper/2509.01256/citation-record.json","paper":"/paper/2509.01256"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:07.217921Z","title":"Angenent, S","venue":null,"work_id":"7a8aa15c-5bf4-45aa-87f4-1b81f1f570fe","year":1999},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.323800Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:68596a7f71f85073196690421e9b7c2c8bf5f2d78a8ac6742fbde22522423210","observation_id":"7bb86c06-a4f0-418c-aea7-4779e34cfefb","resolution":{"observed_at":"2026-08-05T12:49:07.419276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:06.797332Z","title":"Bajcsy and S","venue":null,"work_id":"137fc079-931a-466a-81ae-fdf584994013","year":1989},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.365313Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:ac426d4f323658d5b7527dd465cc6dc76731a8a81715756078662109319299da","observation_id":"348434e7-f6f2-4905-b094-c120bc28e4ec","resolution":{"observed_at":"2026-08-05T12:49:06.959375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:06.452484Z","title":null,"venue":null,"work_id":"35ab7a18-0c8d-488d-a292-4c38e313cbf3","year":2005},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.429711Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:e4dc69ea9522300da580b7b6dfc4b9075a9d09b6664ac306b17b6957f09e16c3","observation_id":"8ad0ebe8-267d-446c-8555-645b2ac37b44","resolution":{"observed_at":"2026-08-05T12:49:06.617997Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-05T12:48:52.496345Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.496345Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:b11ca04840f17983e6c6be7a13c4bda3061182cdc54e2897d19ef32d8bd60214","observation_id":"7d039292-ec68-4dfd-8159-3aaef77d7d1c","resolution":{"observed_at":"2026-08-05T12:48:52.496345Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-05T12:48:52.584813Z","title":"Boumal, An introduction to optimization on smooth manifolds, Cambridge University Press, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.584813Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:633d96560dd54980310dc76170e5abf8fc4453a7d582446301a5d071cfc77bac","observation_id":"aed0feb5-0e18-4f4f-a2f7-195a60b593a7","resolution":{"observed_at":"2026-08-05T12:48:52.584813Z","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":"2026-08-05T12:49:06.083775Z","title":"Chow and F","venue":null,"work_id":"8eaa425f-732e-42fa-bafe-13d688186a1a","year":2003},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.642323Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:d9aeb6435df2b1e9dc6c48895f896a7b2a598499f1da4c553b75e3abd9598ad5","observation_id":"f4fcf44f-0566-4a83-ac18-afff722767da","resolution":{"observed_at":"2026-08-05T12:49:06.247362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:05.553626Z","title":"Colin de Verdi`ere, Comment rendre g´ eod´ esique une triangulation d’une surface?, Enseign","venue":null,"work_id":"cb7fb5be-28b8-4f72-92b4-2909ed9b319a","year":1991},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.729685Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:99d049f191447abc3d0e6117a516adbab7c11d5ec9a53dcb56e0ba97513e837b","observation_id":"c7a719ca-6364-4395-9956-716a3c980b64","resolution":{"observed_at":"2026-08-05T12:49:05.897019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:05.249003Z","title":null,"venue":null,"work_id":"b530e7e0-22ae-475c-a3e5-3fc1a138e8a6","year":2003},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.797977Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:a7f180bcb230801dd00022ba93c147bb3ea04380f83e62ce393d30e9e400c4fe","observation_id":"8adf86f7-3a7e-4e56-acb9-99bdb1c00d5c","resolution":{"observed_at":"2026-08-05T12:49:05.398912Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:04.891317Z","title":"Desbrun, M","venue":null,"work_id":"3ad707af-02a0-4d29-9dd5-473464983ce3","year":2002},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.890655Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:cfff7fbd87b6a5060e362ea421eda5e196e8b6d9d194648e4dcbba4075094c9b","observation_id":"3fb2b1ba-21a3-4a24-a5d3-9d685c1a7ae7","resolution":{"observed_at":"2026-08-05T12:49:05.095671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"10.1512/iumj.1959.8.58051","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.936012Z","title":null,"venue":null,"work_id":"33160fa9-4425-43cd-a806-31bcaff66e30","year":1959},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:52.959123Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:9bf3c93ed9db781d97457879f06cee2deb13490a13618fc08a2aba2f00d132de","observation_id":"eab324b0-7d65-4db4-a684-7b194de1973f","resolution":{"observed_at":"2026-08-05T12:48:57.024875Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:04.411233Z","title":null,"venue":null,"work_id":"335f1447-3d09-485a-87f6-9fd0553613f2","year":1995},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.034916Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:54f0b1685b07d56507048e3a30690eee40bcd6215648a5dbeb8a1d4788b41f3c","observation_id":"77dcbec7-954a-4530-831a-c4009e782581","resolution":{"observed_at":"2026-08-05T12:49:04.642081Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"10.4230/lipics.socg.2020.40","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.788680Z","title":"Erickson and P","venue":null,"work_id":"6b12894d-1988-4250-8515-a8cd7c6b20e6","year":2020},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.117753Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:dda0fa8dd613e84aa62eaa1e781388721913c7fdd50a23d41b5b4ebb2a3a7f12","observation_id":"5aecf1a5-1bcb-40bd-9a80-3a3f33a92092","resolution":{"observed_at":"2026-08-05T12:48:56.863331Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:04.023981Z","title":null,"venue":null,"work_id":"4a0ab5c1-0125-40af-ba1a-94eb07cc2b05","year":1997},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.208845Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:5fbb705e1307fed35b2e911ef7dc272272792f47069cde49b859a95582d0041e","observation_id":"5eeb8fd4-c889-48a9-836b-6a7bcbbb5e5d","resolution":{"observed_at":"2026-08-05T12:49:04.226083Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1810.11932","last_updated":"2020-01-18T23:38:12Z","snapshot_observed_at":"2026-07-06T07:11:06.440653Z","submitted_at":"2018-10-29T03:08:41Z","title":"Computing discrete equivariant harmonic maps","version":4},"cited_work":{"arxiv_id":"1810.11932","doi":null,"metadata_source":"pith","pith_arxiv_id":"1810.11932","snapshot_observed_at":"2026-08-05T12:48:57.433913Z","title":"Computing discrete equivariant harmonic maps","venue":"math.GT","work_id":"114af4dc-aa30-49e3-913b-db953fba11d3","year":2018},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.293840Z"},"links":{"cited_paper":"/paper/1810.11932","citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:cb72f64e94f1fca3c68a3cf709cdd8835233f86d1b23aec6e5198134be5d156e","observation_id":"995da918-7efd-4d57-bb3d-d7bbf498ac21","resolution":{"observed_at":"2026-08-05T12:48:57.487367Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:03.628649Z","title":null,"venue":null,"work_id":"c62bab70-2f06-40ca-a731-f534a95a3d7a","year":2006},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.360207Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:82b55e25e220bb3baff463c3a0d3eca88def61810bfec9fd5671e6e7077635a9","observation_id":"2c3fcc95-893d-4551-bafe-0d2fd006c8a8","resolution":{"observed_at":"2026-08-05T12:49:03.854136Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-05T12:48:53.439393Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.439393Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:1c793e698a4cfbe41671ebfc370e743b132e3700f413e15b85481db3a729a9bd","observation_id":"82e329c6-4585-4b64-934e-afba766ea74e","resolution":{"observed_at":"2026-08-05T12:48:53.439393Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-05T12:49:03.298757Z","title":"Gu and S.-T","venue":null,"work_id":"cb0fc071-78b9-4c44-8e9d-e857a4389a38","year":2003},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.531513Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:fb7e6b65d7b1caf90f6636bb71505c3a301c3a3e7b20947211864d5ced9d34b0","observation_id":"c4ea83b5-aa65-4ea6-b9ea-bbcc39fd8df9","resolution":{"observed_at":"2026-08-05T12:49:03.461046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:02.908727Z","title":"Haker, L","venue":null,"work_id":"21a70444-7bba-4081-b24a-f22d3ac17e33","year":2004},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.605480Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:7f7e8761851a2cd4acf4c9dc0524577d9aba9d446ec903af9cf296e26f1b0eb2","observation_id":"02f154a9-a0e1-448a-8f65-1d05f8536d8e","resolution":{"observed_at":"2026-08-05T12:49:03.148315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:02.520597Z","title":"Isenburg and P","venue":null,"work_id":"68ebc577-1734-4c1b-960b-37aafedbc3ce","year":2005},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.683565Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:9067f102c5f14e3fd63d345fdc57679a77e50a320da424b5ce331a0ea776ee37","observation_id":"3dc68ef3-37dd-4c14-a6fb-39e196b2c405","resolution":{"observed_at":"2026-08-05T12:49:02.671943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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/jlms.70235","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.646444Z","title":"Izmestiev and W","venue":null,"work_id":"451b708d-aa0a-4f65-b95b-d6e23d7506ec","year":2025},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.768525Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:81936229332c97d1f3e132abdbd1d27da7903bcbdd6feb851ef3f46cefd19655","observation_id":"2420de58-ae89-427f-a732-30a7f9e009eb","resolution":{"observed_at":"2026-08-05T12:48:56.730931Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:02.183090Z","title":null,"venue":null,"work_id":"935c7234-affd-48de-a048-9a641d7eb7fa","year":2008},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.832732Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:ffcc3b1c48f3e60de2f294919c4e5c0fd790b2260b66ee4fc511527e6a8a482e","observation_id":"04adee37-8ec0-4c7a-9025-57ba834abeee","resolution":{"observed_at":"2026-08-05T12:49:02.349379Z","resolver_source":"raw_fallback","status":"unresolved"},"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/bfb0100160","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.481773Z","title":"Jost , Harmonic maps between surfaces , vol","venue":null,"work_id":"57064949-6538-4261-8324-b19e0f736f0a","year":1984},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:53.932566Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:eb72412fd421b10f94d2fd9805b59eb5f0c0f53215de836a3ee6494420dcda12","observation_id":"ea408690-73d6-458c-b824-f9ddde00457b","resolution":{"observed_at":"2026-08-05T12:48:56.544803Z","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":"2026-08-05T12:48:54.002448Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.002448Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:c02a3058dbeee0fee6ffd226bc820e32b6196eabf61308800c46043ce2663951","observation_id":"63cb3bb2-b92f-4bf9-81e7-f28e49e576bb","resolution":{"observed_at":"2026-08-05T12:48:54.002448Z","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":"10.5802/ahl.116","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.315713Z","title":"Kajigaya and R","venue":null,"work_id":"bbddc261-baf3-4838-af49-493949487548","year":2021},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.072378Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:6117802f7e762cb6dd48efd14f6c83b24bece90a80daf7b6c95055920d6d5d70","observation_id":"58a9ca4e-cd1f-4f97-8694-726a3fc3a4b0","resolution":{"observed_at":"2026-08-05T12:48:56.398277Z","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/s0002-9947-00-02632-5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.192586Z","title":"Kotani and T","venue":null,"work_id":"6d7af5c0-18d9-4784-8948-28a93cc0aa5e","year":2001},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.143388Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:b88ad395f26d159204ec5974de219fa6232b791d4e0c8b3835292b9a127ae383","observation_id":"9f0c7eb6-798c-48fe-b4af-a395d2cd67b9","resolution":{"observed_at":"2026-08-05T12:48:56.249809Z","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/s00454-024-00699-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:56.023650Z","title":null,"venue":null,"work_id":"5b28ade3-9287-4ec1-a5cc-76ea2e27812b","year":2024},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.223315Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:927fd2276b9bf489489eb472dbb0129564cca1d0b61e7c5cb5b7031d6e70b75d","observation_id":"873ee5ee-ea27-490d-929d-b60716f9d2fa","resolution":{"observed_at":"2026-08-05T12:48:56.107827Z","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":"2405.02205","last_updated":"2024-05-03T16:04:09Z","snapshot_observed_at":"2026-08-07T22:22:49.493580Z","submitted_at":"2024-05-03T16:04:09Z","title":"Discrete harmonic maps between hyperbolic surfaces","version":1},"cited_work":{"arxiv_id":"2405.02205","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.02205","snapshot_observed_at":"2026-08-05T12:48:57.141857Z","title":"Discrete harmonic maps between hyperbolic surfaces","venue":"math.GT","work_id":"aae8b767-3ccc-472c-a830-7d76b9d43616","year":2024},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.287308Z"},"links":{"cited_paper":"/paper/2405.02205","citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:ca18da9343caf39f941dce6dfe409054e23cee1dba11d728d8d2b6bff12ccf30","observation_id":"29d97608-783a-487e-bbce-92f82b8b83f4","resolution":{"observed_at":"2026-08-05T12:48:57.236033Z","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":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:01.805058Z","title":null,"venue":null,"work_id":"76aa8ce4-20b0-43a0-a3ee-e99e3899707e","year":2001},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.351352Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:9a020b1942723bf54ed4b03f8a15f4e2f4ed3cb0b732e78244a099421017a5ca","observation_id":"8025de40-1489-471b-9078-4d03555db4e6","resolution":{"observed_at":"2026-08-05T12:49:01.955638Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:01.352650Z","title":null,"venue":null,"work_id":"c37fbea8-286f-4cd7-b92e-8109843eec14","year":2013},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.439549Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:37007b7c15bf45c7a0a3f9a9cdd60e0630ac3e1cf25bfc5737411e79e7253631","observation_id":"14c20d08-4174-4cad-a3a8-dea892f92301","resolution":{"observed_at":"2026-08-05T12:49:01.575423Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:00.996912Z","title":null,"venue":null,"work_id":"0d8ac0e8-b51e-4138-bdd2-41f27426b621","year":2014},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.506730Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:62df92158475e70168449bab39901a57b47644e66750adc75026c3588f90ee9c","observation_id":"7c939abf-bc5d-46a1-a905-46460f1fe922","resolution":{"observed_at":"2026-08-05T12:49:01.145771Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:00.586352Z","title":null,"venue":null,"work_id":"34cf58fd-d195-4f16-97a1-a57ef295053f","year":2010},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.556864Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:fd67bd9c50585048a9c44c5a1d14a1ba92021c47df222b55c416069aad64447a","observation_id":"c453e504-8983-471d-9a4c-dd600ea910bf","resolution":{"observed_at":"2026-08-05T12:49:00.810547Z","resolver_source":"raw_fallback","status":"unresolved"},"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/s0219199704001501","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:55.892498Z","title":"Luo , Combinatorial Yamabe flow on surfaces , Commun","venue":null,"work_id":"731bdbc8-2a68-4d63-bd47-fb4e703ba38f","year":2004},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.641660Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:26cdb43d3ec269c8a926186cf1b496c054331f29d560b13a7eb68a360d66eeb2","observation_id":"103b226a-fc78-4c76-b837-a5a673c22bb6","resolution":{"observed_at":"2026-08-05T12:48:55.947076Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:49:00.229762Z","title":"Marchandise, C","venue":null,"work_id":"cefef4fe-c600-4ef4-9fd6-dad4026aa7d6","year":2011},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.724286Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:8f82b0d5a603206e189502f73d067666673e1a829af0faffbcb795447ad72692","observation_id":"1a1e779f-6a80-4b6a-b619-9db5ff3547c1","resolution":{"observed_at":"2026-08-05T12:49:00.381875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:59.884534Z","title":null,"venue":null,"work_id":"9e96dd6a-db1c-4f17-9a79-56458170d468","year":1989},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.782387Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:4604623d3cfc2d14033918c1d1096fcb15ca6115be31587885bfe33c6f53fea4","observation_id":"cd860bd3-541d-4b1f-90dc-da8fa7516444","resolution":{"observed_at":"2026-08-05T12:49:00.033608Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:59.668708Z","title":null,"venue":null,"work_id":"bc8d7b6a-8e25-4238-8d00-a851066096fc","year":2014},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.858005Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:5c372ff0ef0b124b1817ed0c8cae4d0b1d1434fc3dd720726f3e163de9c35a28","observation_id":"e9a7aaea-519f-4de4-93d7-55d896c95511","resolution":{"observed_at":"2026-08-05T12:48:59.768216Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:59.499211Z","title":"Persson and G","venue":null,"work_id":"1d986a90-ab6e-4bf6-b781-2934d4a08944","year":2004},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:54.948825Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:b6d6ab614aa6d43f75d7809fa9efd41365eb2adc0020c5db409df279014c3f68","observation_id":"6f37f615-c821-4bcb-8d31-c7a4187b15ca","resolution":{"observed_at":"2026-08-05T12:48:59.581011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:59.292408Z","title":"Pinkall and K","venue":null,"work_id":"1227a514-e3b4-47ac-886e-0d47b1beac3d","year":1993},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.019498Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:ac0c6431ccde965425fe35bb546aface5dc08b6c2781c2ecb22a913c007021c7","observation_id":"e30d5b60-2c03-4bde-ae35-9a8efcb666d7","resolution":{"observed_at":"2026-08-05T12:48:59.390590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:59.122148Z","title":"Remacle, C","venue":null,"work_id":"a80d4dc0-d609-433d-98fa-8fb23f5e7d94","year":2010},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.082486Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:5a134e6dec4764c0467ae0260c83d2f6f0b3ff00e028876e6e95a71f2fb9e863","observation_id":"1042ad21-84d9-46a1-a56f-3a20d7c45a3d","resolution":{"observed_at":"2026-08-05T12:48:59.216411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.970521Z","title":null,"venue":null,"work_id":"16cac2c8-713d-478d-9c23-f12b65f2cbbf","year":1995},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.149245Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:e931d7ff78debd46903612a9280acae801b7ebe631c15a1e0fe1e9ba10142135","observation_id":"e5ea80a1-8543-4f7c-85e7-605dad63518a","resolution":{"observed_at":"2026-08-05T12:48:59.030726Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.781971Z","title":null,"venue":null,"work_id":"7a8f7d54-3ff0-4f77-a624-5012053f4a87","year":1963},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.193875Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:1cd256e7e4c079580468f760e6f00a979657f2aa4e85d6d63e12ceb76ac29a0b","observation_id":"ffcc7302-57d3-48e4-89e8-6d6d08042c9a","resolution":{"observed_at":"2026-08-05T12:48:58.885579Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.631843Z","title":"V aillant, M","venue":null,"work_id":"cfac9d14-8fd3-42aa-8b1b-f5f07a2200c0","year":2004},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.242771Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:f953386b22504411e023f4a8f576a73c79a9e0a2d2eecd870bc7f0eacd747cc1","observation_id":"4f866005-2145-4ab0-9e58-71f1893051c0","resolution":{"observed_at":"2026-08-05T12:48:58.697456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.457621Z","title":"W ang, Y","venue":null,"work_id":"932289fa-918b-4d20-a530-1183960f380e","year":2007},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.298848Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:f2cd3faf19571982f0c6e9137642fc62c430ba1a24ccf99cfa987965f29aebc7","observation_id":"d099175e-90eb-47f8-a1e4-99b562155d46","resolution":{"observed_at":"2026-08-05T12:48:58.544887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.293548Z","title":null,"venue":null,"work_id":"c2c0a23c-77b5-4477-8943-10049f649a6b","year":2011},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.391456Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:89c7edb783a8aa5eb52046569d5869af7c3afd43ffcaa892d7815c8ebb86376c","observation_id":"c81893a1-2201-4e37-9758-c7381d7239b8","resolution":{"observed_at":"2026-08-05T12:48:58.391185Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:58.102529Z","title":null,"venue":null,"work_id":"4843223d-44df-4f0c-b4d9-18800426e50c","year":2012},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.457547Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:0dd3755b3d18770c2f559da524604a06fa4c25097eab75d8dcae82074a8ea19d","observation_id":"8b001849-1a00-4bae-bc8f-6c70636201de","resolution":{"observed_at":"2026-08-05T12:48:58.201116Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:57.913994Z","title":"Zhang and M","venue":null,"work_id":"ea07b6a3-5fc0-47e0-b2f3-811127eccb1d","year":1999},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.539512Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:40fbae68398a9024250fbf9b9a42cf52556b50ac5b3fadb06cc7a1e2abc459fc","observation_id":"1a2568b5-cae0-40d0-a6fc-e887ca4fe461","resolution":{"observed_at":"2026-08-05T12:48:57.997306Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:48:57.724219Z","title":"Zhang, R","venue":null,"work_id":"3a9c5cd8-6ad6-4742-8e42-f0eea2754808","year":2017},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.605090Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:b5dde1e0af1a79f4020609aea1d68bade79aab453686686540d7b56a2b22259f","observation_id":"32bb222d-c065-46dc-ad20-d231ada71ea3","resolution":{"observed_at":"2026-08-05T12:48:57.818401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"1605.04797","last_updated":"2016-07-02T03:15:10Z","snapshot_observed_at":"2026-07-06T04:56:26.545306Z","submitted_at":"2016-05-16T15:09:19Z","title":"Thingi10K: A Dataset of 10,000 3D-Printing Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.04797","snapshot_observed_at":"2026-08-05T12:48:55.693313Z","title":"Zhou and A","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.693313Z"},"links":{"cited_paper":"/paper/1605.04797","citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:4aa70c550207442b8e72f6e178854d0b4d5e67c6d2d6d2052cd4f9827dc290eb","observation_id":"d1767829-5126-400d-a0eb-dfa8168f255f","resolution":{"observed_at":"2026-08-05T12:48:55.693313Z","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":"2026-08-05T12:48:57.581554Z","title":null,"venue":null,"work_id":"00eca778-9280-4a3b-88f5-19c653783512","year":2022},"citing_paper":{"arxiv_id":"2509.01256","last_updated":"2025-09-01T08:45:57Z","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T12:48:55.790601Z"},"links":{"citing_paper":"/paper/2509.01256"},"observation_digest":"sha256:7c42766c4b48b988a47120c54b3e3e5f60c06a5a9818b57c7ca195520c610f43","observation_id":"63076ebf-e12d-4b47-b789-04b1ae400c93","resolution":{"observed_at":"2026-08-05T12:48:57.642184Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2509.01256","last_updated":"2025-09-01T08:45:57Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-08T12:33:42.934125Z","submitted_at":"2025-09-01T08:45:57Z","title":"A Structure-Preserving Numerical Method for Harmonic Maps Between High-genus Surfaces"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":10,"verified_fuzzy":16},"total_outbound_references":48},"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 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2509.01256."}