{"as_of":"2026-08-19T20:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:557ce70532fec65d1ffb5b7fd611a14c5f7cba7aebe3d1cdce276bcd4bcb723a","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:33:41.065655Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.01678/citation-record","integrity":"/paper/2501.01678/integrity","json":"/paper/2501.01678/citation-record.json","paper":"/paper/2501.01678"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.471502Z","title":null,"venue":null,"work_id":"c9f05509-16f2-49a6-ac01-e90220321939","year":1954},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.938726Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:1f24966f73a66f8766c62edf0d0c80d8e38191545a03af25bfdf66c9a13d42d4","observation_id":"ebff6efc-c9d8-494c-a915-66f2f6596b37","resolution":{"observed_at":"2026-08-10T22:33:41.476277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.455699Z","title":null,"venue":null,"work_id":"884a534e-8c8d-4917-b906-d3f6872ad2c8","year":2004},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.944715Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:4bc7d73ca8908e4177cf84623a456a2ccd5b6260d86968c92a3b7eaef89bb081","observation_id":"813c600d-471a-4e32-bd63-91a009b15cb5","resolution":{"observed_at":"2026-08-10T22:33:41.460452Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.440279Z","title":null,"venue":null,"work_id":"41e8c98b-fd8a-436e-91ea-c7a188eb0e49","year":2003},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.949341Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:857a7acfde9887f54b11c4803670ad5714534570c87757d3d9f8955ef1f71015","observation_id":"a6873aff-41e5-4c74-9295-05b22431fb40","resolution":{"observed_at":"2026-08-10T22:33:41.445156Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.424800Z","title":null,"venue":null,"work_id":"6aa601ab-e4e8-4a63-b796-f882ad2dc34f","year":1998},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.954890Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:297480ebfcfdb9e85b1f36976437c7d4e1a8907d168deb59a616832e02d45cac","observation_id":"f36db2e2-1dde-4c40-af95-a3ac4909d3f1","resolution":{"observed_at":"2026-08-10T22:33:41.429660Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.409911Z","title":"Colin de Verdi` ere, Un principe variationnel pour les empilements de cercles , (French) Invent","venue":null,"work_id":"6736ca3e-d078-4bb9-a36c-911da69926e0","year":1991},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.959989Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:dbf04c724f115407004ee523e7301ece1203a3c03c11ebb2aa8c4f62e335b1c5","observation_id":"f23a73c4-f6ff-4b4c-9169-6d7b908227dc","resolution":{"observed_at":"2026-08-10T22:33:41.414756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.395187Z","title":"Ge, Combinatorial methods and geometric equations , Thesis (Ph.D.), Peking University, Beijing, 2012","venue":null,"work_id":"558c63f7-eb99-44c4-b4ab-02d05857c551","year":2012},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.965389Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:ed6608e5bdd25a1d3ae8b443bb6cbb5e9997de730fce421041d285101f2d4689","observation_id":"adf30f2b-854d-43ef-9b4c-787043b0d937","resolution":{"observed_at":"2026-08-10T22:33:41.400020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.379681Z","title":"Ge, Combinatorial Calabi flows on surfaces , Trans","venue":null,"work_id":"2bb1e31a-137f-4ee2-a939-7593f665663c","year":2018},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.971220Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:8872ed1ce8038f0e5464aadaa3420554fc8d0f228425aa790616ed16a2ed86eb","observation_id":"aea644a6-fae5-4ba0-a4a8-f7108b3fea07","resolution":{"observed_at":"2026-08-10T22:33:41.384946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.364157Z","title":null,"venue":null,"work_id":"bd5acf08-add8-44a6-aa03-724da8d2938a","year":2018},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.976448Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:4eb186313a2dfe4d648847908e322f6c8c73357ca2d47f26046357e805812f90","observation_id":"34af20df-d5cc-4294-ad69-245a46278034","resolution":{"observed_at":"2026-08-10T22:33:41.368928Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.348534Z","title":null,"venue":null,"work_id":"70d280cc-db60-4a8f-803b-44fa14edce2b","year":2021},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.981549Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:e7ad5a8955b3a30fcda3c6093267798b146c57ca5b6b7d3c4273465805d89a6f","observation_id":"039e0502-4cb6-482a-9964-4988041668fb","resolution":{"observed_at":"2026-08-10T22:33:41.353825Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.333120Z","title":null,"venue":null,"work_id":"a7b91fbb-b718-42b4-8fd5-b0e3a7ba63be","year":2021},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.987752Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:d5abd3c7e5b2ad467f0330265dd4e0a014c51d1a627479cbe95a4b80102b37a2","observation_id":"5e0d5d2f-75ee-473a-9dfd-216224cff128","resolution":{"observed_at":"2026-08-10T22:33:41.337860Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.317500Z","title":"Glickenstein, J","venue":null,"work_id":"a56a6be9-ad38-4009-9fbe-41705d8772a3","year":2017},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.992967Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:f5723d255f5ca92311c4245c36897079aa488e423acec94d317c1bb672c0ea85","observation_id":"2c6ad32f-9a52-48c5-8a3d-06e3a18b996b","resolution":{"observed_at":"2026-08-10T22:33:41.322656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.302120Z","title":null,"venue":null,"work_id":"8628944a-4a95-470c-a600-4dd742e89642","year":2025},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:40.998236Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:1f37add01923435d10a071dbfe1d076df4f652f5d8cc54988ffe114eba8fcbc2","observation_id":"edb8faa5-26dd-486d-9669-013a89bc5a4c","resolution":{"observed_at":"2026-08-10T22:33:41.306878Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.285632Z","title":null,"venue":null,"work_id":"9c518f9c-4ec2-4e1a-aa16-109ccc82c3ae","year":2024},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.003002Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:61deb8042f3b7e93487830c844c71a43182ada80b6b0734bef3e7f2dfaab52df","observation_id":"0f7b7950-4d69-45eb-b7ec-3554d63e6ca0","resolution":{"observed_at":"2026-08-10T22:33:41.290352Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.270741Z","title":null,"venue":null,"work_id":"5f22015e-a53d-48a0-a448-a7a7a0b835ab","year":2019},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.008852Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:ec0ef784f91baa84f7b6362ec2d7fa24178bb22107986b2680778f0d5e2de6eb","observation_id":"7aa3d99a-f8c2-46d9-98d1-7547a4019540","resolution":{"observed_at":"2026-08-10T22:33:41.275515Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.254687Z","title":null,"venue":null,"work_id":"dc3e1768-c105-411d-9d19-3749c785a733","year":2016},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.013897Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:82dccbcc64c51cbd0d66806659d8df0e71fade29bf61ef41f173a2b758287e70","observation_id":"4560ae3f-591d-4cd7-8c73-a1d8d0fd6714","resolution":{"observed_at":"2026-08-10T22:33:41.260349Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.239231Z","title":"Rivin, A characterization of ideal polyhedra in hyperbolic 3-space, Ann","venue":null,"work_id":"4c699879-2945-469a-a96a-adf720797b2f","year":1996},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.019347Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:9321c2a8b228e802db1f8c1915d4994a9f4bc12c854b35486899c15ba3ec1649","observation_id":"0aa7f7a9-7846-49a2-9622-c00afb7de8a2","resolution":{"observed_at":"2026-08-10T22:33:41.244310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.224540Z","title":"Rodin, D","venue":null,"work_id":"22927d22-209d-4bba-9da2-4b1647e51d42","year":1987},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.025185Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:b4273398300a18e4ae58c1a85a8f8b8d7bc65be07eb597ce4dc4a03a4c13bfa6","observation_id":"76deed21-de0f-4abd-9141-1e0dd2f48c94","resolution":{"observed_at":"2026-08-10T22:33:41.229279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.208628Z","title":"Schramm, How to cage an egg , Invent","venue":null,"work_id":"af1ae2a7-f74a-4a46-8e64-5dfe40d6b502","year":1992},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.029777Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:3304bc2b80e0b0865ddc7ad67fffe12ecfb829fe56e1ad97e553ab91b4573573","observation_id":"77e9279a-cc0c-434e-9599-f29d48702365","resolution":{"observed_at":"2026-08-10T22:33:41.213448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.193538Z","title":"Stephenson, Introduction to circle packing","venue":null,"work_id":"f6811401-5294-46ee-bd41-ece8d89a5640","year":2005},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.034670Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:96ca8df5813056b3ea2c7dbc482b1acf741a2bf6db3d16b805f3e8b4de171690","observation_id":"7d8ac85c-736b-4583-8fd4-1dc93b09e7ae","resolution":{"observed_at":"2026-08-10T22:33:41.197797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.179579Z","title":"Thurston, Geometry and topology of 3-manifolds, Princeton Lecture Notes, 1976","venue":null,"work_id":"1be4d848-9d68-4ee0-beb0-d7b1fd9362b7","year":1976},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.039753Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:df11de115e36c8852dd55c94324c1688db9c05f500c37a7d7b342ec8ac7b9a1e","observation_id":"7d5b1fdf-a385-4a0a-b409-1239fad59513","resolution":{"observed_at":"2026-08-10T22:33:41.183927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.165394Z","title":"Thurston, The finite Riemann mapping theorem","venue":null,"work_id":"c46d1581-e4ac-4bf7-bf43-55a4a9c7ec71","year":1985},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.044788Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:47ae87f9f21bf56696c8da526b012aa49026c55f0ed8cea89534e10e4f272f06","observation_id":"2afb4844-79e4-4a7b-836b-ef49b7c444d7","resolution":{"observed_at":"2026-08-10T22:33:41.169603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:33:41.149700Z","title":"Walter, Ordinary Differential Equations , Springer, New York, 1998","venue":null,"work_id":"1f38148d-20b1-4357-818a-936ee7934b8e","year":1998},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.050380Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:5852d851ca3010c7e2090a439d38a9271c5ac0f522d33121b61b170331f46cf4","observation_id":"a4ca1349-7e27-490e-b3b1-a6625911ac15","resolution":{"observed_at":"2026-08-10T22:33:41.155048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2107.14102","last_updated":"2021-07-29T15:26:27Z","snapshot_observed_at":"2026-08-16T18:06:35.880513Z","submitted_at":"2021-07-29T15:26:27Z","title":"Fractional combinatorial Calabi flow on surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.14102","snapshot_observed_at":"2026-08-10T22:33:41.055184Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.055184Z"},"links":{"cited_paper":"/paper/2107.14102","citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:d729c8e7013116101e90d846c0c0cb6fb36e68379f00f59169c845ba4ce68d48","observation_id":"56d1c4fd-17c2-4088-ba97-f34589f030e6","resolution":{"observed_at":"2026-08-10T22:33:41.055184Z","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":"2026-08-10T22:33:41.132283Z","title":null,"venue":null,"work_id":"3b9f6c91-270c-443f-8c50-7b37172fe7be","year":2023},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.060760Z"},"links":{"citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:768fd321fbeecf815f679fef7c823a32c82c13ab7a31ddccfe3b05beab8b1ff9","observation_id":"6fac5283-7908-46eb-a3a7-33ec9aeb5274","resolution":{"observed_at":"2026-08-10T22:33:41.138213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01768","last_updated":"2019-11-21T06:05:15Z","snapshot_observed_at":"2026-08-17T14:23:33.584016Z","submitted_at":"2017-03-06T09:01:32Z","title":"Circle patterns with obtuse exterior intersection angles","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.01768","snapshot_observed_at":"2026-08-10T22:33:41.065655Z","title":"Zhou, Circle patterns with obtuse exterior intersection angles , arXiv:1703.01768, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:33:41.065655Z"},"links":{"cited_paper":"/paper/1703.01768","citing_paper":"/paper/2501.01678"},"observation_digest":"sha256:1187b06012adbc5dfaaf7c56e1e8198dd60e071de87de78727e53b4ba8a1d7bb","observation_id":"5ed23cf2-0e3f-42d1-9e87-03dfcbca7851","resolution":{"observed_at":"2026-08-10T22:33:41.065655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.01678","last_updated":"2025-01-15T03:26:21Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-19T16:48:03.628663Z","submitted_at":"2025-01-03T07:45:25Z","title":"Combinatorial Calabi flow for ideal circle pattern"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":25},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2501.01678."}