{"as_of":"2026-08-18T19:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ede44646f632cab03e6d08e8961551b11c68779a8201107c8592a623d3be61c","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-30T16:55:27.284046Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2607.26923/citation-record","integrity":"/paper/2607.26923/integrity","json":"/paper/2607.26923/citation-record.json","paper":"/paper/2607.26923"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:26.858334Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:26.858334Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:976774386ec4e9c3aad470c49562e3c6138672ead4c6b8a7bfc826e627eb4352","observation_id":"e3c32126-3392-4ce1-aef7-0bf686515c60","resolution":{"observed_at":"2026-07-30T16:55:26.858334Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:26.996983Z","title":"Differential Geom.43(1996), no","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:26.996983Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:7b96fe332646132924c16b2579d3ff43e945919e7433e8933fc58be560c4654a","observation_id":"8ab1f6c0-ae67-489c-ae92-b36786b202fc","resolution":{"observed_at":"2026-07-30T16:55:26.996983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.130316Z","title":"Math.138(1999), no","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.130316Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:f741f4bd1910611c7d153a22a5b849c60f11ac924121c93d6aa9b04634972ab5","observation_id":"81b754a2-bd1c-4410-bc69-9b23069919c3","resolution":{"observed_at":"2026-07-30T16:55:27.130316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.146420Z","title":"Math.195(2000), no","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.146420Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:e263130682838f087da829dcaafadff0526e5aae09dfde99dc2dc2645a866e73","observation_id":"d92a5d64-0a6c-42ea-982f-700569aa1e5c","resolution":{"observed_at":"2026-07-30T16:55:27.146420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.150745Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.150745Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:b8696ee66eb3078e85ce49d0b94469e8fde365656e007284bd5a02c0f9680c32","observation_id":"2871a795-64d5-4e5e-98d2-d1dc73dc3c9d","resolution":{"observed_at":"2026-07-30T16:55:27.150745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.154550Z","title":"206, American Mathematical Society, Providence, RI, [2020] ©2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.154550Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:696d974347dd57827b1ea4b3cc5785cd23df0d65c3a9d14381901476b0381cee","observation_id":"a28db3a1-3a5e-49f8-9f05-127a1dcd61a1","resolution":{"observed_at":"2026-07-30T16:55:27.154550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.167589Z","title":"Math.299 (2016), 174–201","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.167589Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:d3e40f90948a402dbfe91a8fbae9b19039e1e7c135c798b536c9c15a258e9272","observation_id":"9d727855-03ab-4691-ba5f-db56e0f2b51b","resolution":{"observed_at":"2026-07-30T16:55:27.167589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.184745Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.184745Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:e551640f68abf3ede19282ebd79b074031d70667c1bd5c9e98f05a588f4b146c","observation_id":"193b374e-9b21-43ee-a45c-859a1cda4b87","resolution":{"observed_at":"2026-07-30T16:55:27.184745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.210533Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.210533Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:6ab8df090aa20e12f97aa77d0b12176df31712727231b4d82beee945fa57ef93","observation_id":"a4156c05-aa7a-4bc6-8004-afc92ef42214","resolution":{"observed_at":"2026-07-30T16:55:27.210533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.219653Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.219653Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:c5233380a0f43d23dfded545803edd845835f8a9d016bd6c33efb52392a74b98","observation_id":"41eeedee-dab9-4414-a50f-a36ef483166b","resolution":{"observed_at":"2026-07-30T16:55:27.219653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.224381Z","title":"Math.397(2022), Paper No","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.224381Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:137a56cbb99e918a07a5d49f897b47631a197434094396ed73ef9cdda33ef120","observation_id":"c36acd7e-009d-4830-83e5-8422addc49d3","resolution":{"observed_at":"2026-07-30T16:55:27.224381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.229698Z","title":"Differ- ential Geom.127(2024), no","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.229698Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:b373191a20dd8d280d2772f64631a8dd76c45945c0200161c9f4370b3afa41c6","observation_id":"e303c21a-83b0-43cb-b1f7-9f016ce1a5fb","resolution":{"observed_at":"2026-07-30T16:55:27.229698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.05487","last_updated":"2016-09-18T14:02:50Z","snapshot_observed_at":"2026-08-14T21:39:20.555995Z","submitted_at":"2016-09-18T14:02:50Z","title":"Uniqueness of closed self-similar solutions to the Gauss curvature flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.05487","snapshot_observed_at":"2026-07-30T16:55:27.234422Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.234422Z"},"links":{"cited_paper":"/paper/1609.05487","citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:f9e4fa0d2cab1c999cd0e4a78484b49273fe74b0bcfd02db391d5aa0b6b3b1e9","observation_id":"0683e89a-f2ac-4d9a-ab84-8612635170c9","resolution":{"observed_at":"2026-07-30T16:55:27.234422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.238374Z","title":"Reine Angew","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.238374Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:bd89d43aa568f34eff44f18b407bf0494bc8d0773b54a07610f164e270c214e9","observation_id":"496e03e2-6ee2-4c3d-9fee-6d2360f54db9","resolution":{"observed_at":"2026-07-30T16:55:27.238374Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.242411Z","title":"Differ- ential Geom.22(1985), no","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.242411Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:0145fb5c8f2508757c2627313b963b9d1d8f881dd77c35ab9369b93af63da770","observation_id":"bd4b6bfa-d68f-4ffa-86c5-2cde0b83cc0b","resolution":{"observed_at":"2026-07-30T16:55:27.242411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.246867Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.246867Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:37fb109b22cbfc8431a72a33ed85a1ab0512efcff69065c6b172017a3b045612","observation_id":"932affb5-f6d9-4f9b-acc4-bbf49be73428","resolution":{"observed_at":"2026-07-30T16:55:27.246867Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.250556Z","title":"1341, Springer-Verlag, Berlin, 1988","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.250556Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:c246a1806f86fea36951532e3ba5b9c317fdf3ada28d5bb5ed065b6066140d6e","observation_id":"7a855c99-19ef-4d17-80cb-70e3c9d8479e","resolution":{"observed_at":"2026-07-30T16:55:27.250556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.256061Z","title":"Firey,Shapes of worn stones, Mathematika21(1974), 1–11","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.256061Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:58affdfcd4ce1f06170f9232d3c634d42b2e4cee36584105afb931e18581a53f","observation_id":"28dc6c55-f7ed-4e09-93b8-8b144270c9bc","resolution":{"observed_at":"2026-07-30T16:55:27.256061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.259593Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.259593Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:940662c532808455752c53fa7bf7aecd288cb8fa3991f80f61c3fc154ae99f18","observation_id":"c36688ca-9e11-4aa9-900e-a6360ec4a55b","resolution":{"observed_at":"2026-07-30T16:55:27.259593Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.263284Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.263284Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:8b2dfcb3520cb8eb5e975f1c7c88d280348e7346a7027a280582c54bcd4d03b5","observation_id":"af7e094e-2fbe-4190-ae86-0bfcb29d1d59","resolution":{"observed_at":"2026-07-30T16:55:27.263284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.266921Z","title":"McCoy,Curvature contraction flows in the sphere, Proc","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.266921Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:3aae7a7cc17c18288ed9e28dc5d133ce582849e60b8fad3672f3251268eca176","observation_id":"8b90a367-27a3-4422-9256-d4af8f2c7466","resolution":{"observed_at":"2026-07-30T16:55:27.266921Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.09840","last_updated":"2025-06-11T15:18:03Z","snapshot_observed_at":"2026-08-12T02:38:15.267463Z","submitted_at":"2025-06-11T15:18:03Z","title":"The capillary Gauss curvature flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.09840","snapshot_observed_at":"2026-07-30T16:55:27.270709Z","title":"arXiv:2506.09840","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.270709Z"},"links":{"cited_paper":"/paper/2506.09840","citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:460317591916c20d55cc9ef8d6c46b8b7d4f61c7e10fa4c4b867e0d14af73987","observation_id":"db2b97fa-f2ea-444b-8df6-43ad912c15fb","resolution":{"observed_at":"2026-07-30T16:55:27.270709Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.274074Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.274074Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:c13d2f17830d515a1de43a2d3c2c6949af21949b924db191dfc7c63e36fbb44a","observation_id":"74b3fd11-7034-4d62-af63-ddcb12301f6e","resolution":{"observed_at":"2026-07-30T16:55:27.274074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.277519Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.277519Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:124986d1ce37b42a9fd6c6649220c7112459a42692c11b3ee2474447286e8657","observation_id":"91ff8b94-24e2-4e7e-8082-a8c7a28c642d","resolution":{"observed_at":"2026-07-30T16:55:27.277519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.280868Z","title":"Pure Appl","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.280868Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:f26d97c7d0caeb24ef023ad2004c14e0c676ab851588c73ae412de7868bdceee","observation_id":"37b7f23b-1b5b-4dd0-9c7c-0dd73669c94e","resolution":{"observed_at":"2026-07-30T16:55:27.280868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-30T16:55:27.284046Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-30T16:55:27.284046Z"},"links":{"citing_paper":"/paper/2607.26923"},"observation_digest":"sha256:067cef46496647387c6fddae0f218297390180e5f9d1640cb22bd8efcfc75fc3","observation_id":"97c21ce6-2a7b-41a3-8a12-66c83a47ba31","resolution":{"observed_at":"2026-07-30T16:55:27.284046Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.26923","last_updated":"2026-07-29T13:53:52Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T17:01:01.878668Z","submitted_at":"2026-07-29T13:53:52Z","title":"Free boundary flows by powers of the Gauss curvature in the unit ball"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.26923."}