{"as_of":"2026-08-14T01:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:30ecc9c09227e690e60675b66fc5875e25983bef649b8531d61eb5a9c05db59e","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T19:55:33.432399Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2412.06318/citation-record","integrity":"/paper/2412.06318/integrity","json":"/paper/2412.06318/citation-record.json","paper":"/paper/2412.06318"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:34.095448Z","title":"Cabr\\'e, E","venue":null,"work_id":"b5a8bc29-efd3-4311-8814-2e8612ec029b","year":2020},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.295072Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:6cf632054426af725ed2e7042b6a8fd17b670dfac39cb34c7c907e4f5e8b6c04","observation_id":"1122617d-0256-4e46-b652-1800a6d65f8d","resolution":{"observed_at":"2026-08-11T19:55:34.100449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:34.079201Z","title":"Cabr \\'e , E","venue":null,"work_id":"1da8fd92-4285-4314-b6b7-154d9aa4b7f2","year":2021},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.301091Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:67a2be0fbcb842f9bdc3fc9b68a5ef41c9abe748cc44ff470f79732373c73d2c","observation_id":"a36cd3f2-73b2-4442-b8d6-84aff7e9047d","resolution":{"observed_at":"2026-08-11T19:55:34.084256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.307859Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.307859Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:fda8a0787d56c85e620ca5feda97d98d55ec84c81d4a738aece057dbd87afe4c","observation_id":"8c936300-67a6-49bc-88ee-3e98f4a05f46","resolution":{"observed_at":"2026-08-11T19:55:33.307859Z","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":"2026-08-11T19:55:34.061803Z","title":"Ciraolo, A","venue":null,"work_id":"976700e2-e6b0-4e57-a9c2-a434a58f8d49","year":2018},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.312941Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:f869f6551b73bd5ab57c49128580c3e4ca5b95951ff6be33aeedb693c694b499","observation_id":"8d8ba986-b7a4-47b3-9e70-d696324304fe","resolution":{"observed_at":"2026-08-11T19:55:34.067394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:34.044510Z","title":"Cabr\\'e, M","venue":null,"work_id":"aa0920cc-e6b5-45b1-b07a-88c75b32a81f","year":2018},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.318682Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:78ff13a7875f8b107aad1231c29ccc97b84630585a6188c05daa459f1edcf086","observation_id":"060aa7f2-30ee-44d3-9b97-4e9251379dcf","resolution":{"observed_at":"2026-08-11T19:55:34.050325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.07100","last_updated":"2025-07-14T08:25:01Z","snapshot_observed_at":"2026-08-13T23:43:54.714824Z","submitted_at":"2023-06-12T13:24:53Z","title":"Yau's conjecture for nonlocal minimal surfaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.07100","snapshot_observed_at":"2026-08-11T19:55:33.324304Z","title":"Caselli, E","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.324304Z"},"links":{"cited_paper":"/paper/2306.07100","citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:ee7c70138c7d64adc760d4321c1f58eaa348206eee5a1f6ff14fce797e986c1f","observation_id":"c2160759-c82d-4d81-ae27-407c002fe0f1","resolution":{"observed_at":"2026-08-11T19:55:33.324304Z","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":"2026-08-11T19:55:34.026960Z","title":"Caselli, E","venue":null,"work_id":"64b12d88-e7f6-4af3-a95c-f22f00532213","year":2024},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.330604Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:77458a43c5dccd9f0746642e33f9268f90332c1764ee4442b1b50666420f89cf","observation_id":"2e9f573c-5b7f-48a7-b164-20aa42139072","resolution":{"observed_at":"2026-08-11T19:55:34.032510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:34.009602Z","title":"Cabr\\'e and Poggesi G","venue":null,"work_id":"98ef18da-2eca-4570-9b84-926ce4ee47f1","year":2018},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.335649Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:c4fe05fdbd1fcc6a661f48021bc9e137fc4bccace79b97e8856a53160b96d0fa","observation_id":"290f1a71-50af-4a62-b9d1-038620ba7513","resolution":{"observed_at":"2026-08-11T19:55:34.015321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.991811Z","title":null,"venue":null,"work_id":"4c0add61-91e0-4cce-a15f-b112b1107e9d","year":1969},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.340541Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:06acf32f5501b8932f25ed05741972338edcc0370cb667bf5c06bb6f36eddd35","observation_id":"868bf08a-c46a-4696-8c2f-0b202b5f155d","resolution":{"observed_at":"2026-08-11T19:55:33.997267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.973745Z","title":"Chodosh and C","venue":null,"work_id":"ad1c3231-ac09-4ef9-91f7-2170b1200359","year":2023},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.345294Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:e4f65496321139e64ae3c7d1c2def3bc1ac0fa404eb862233a642dc34999b512","observation_id":"9da9d226-4f09-42b4-ba58-b0109635a1f3","resolution":{"observed_at":"2026-08-11T19:55:33.979435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.953798Z","title":"Caffarelli, J.-M","venue":null,"work_id":"0a80f02c-fcfa-45bb-9928-3217d103f94e","year":2010},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.350148Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:1c910ca72ce8bd3aac8f4829f74a777e3f4ffabd1223d6a89dae43ed7590cca9","observation_id":"b247253e-3077-481c-bfaf-19f4771aade6","resolution":{"observed_at":"2026-08-11T19:55:33.960037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.936559Z","title":"Cinti, J","venue":null,"work_id":"b72060d9-f7a1-461a-a56d-1d255a3fa636","year":2019},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.354918Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:153f081de2ca9de89b456a3730088c3e4316482524e14d7346cd3d2541dc831d","observation_id":"812c8f18-22b4-4c74-b43b-cdc13c06eddc","resolution":{"observed_at":"2026-08-11T19:55:33.941637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.919351Z","title":"Caffarelli and E","venue":null,"work_id":"d52ebe4c-fed7-4047-817d-a4728364647c","year":2013},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.359839Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:4449be75c67e1d18f8c7539ff5b7f956c26de46e91c4e8c489e67bb53c3c9a9b","observation_id":"b442a3f3-2492-4ad6-8fdb-1c73fb79d4e1","resolution":{"observed_at":"2026-08-11T19:55:33.924580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.902407Z","title":"D\\'avila, M","venue":null,"work_id":"0947dae1-f76c-4a10-90fc-95aad118becd","year":2018},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.364450Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:4628300da105efc7e8a89074785d3fb3d8a7a0a56c691125d3c0d033bc01a1c6","observation_id":"e5fbaab2-c26a-4dcb-8699-38ebf4ec5346","resolution":{"observed_at":"2026-08-11T19:55:33.907400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.885575Z","title":"Figalli, N","venue":null,"work_id":"8d02b591-178d-4aa2-ba7d-be4db4c887b9","year":2015},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.369153Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:7de71dca3fc97f547f4a5ba3375ce94fcdc5a9c2fbe15a64291b864c41a9e766","observation_id":"2ba9e92b-c8da-4a04-a3bd-4ed9638dbde0","resolution":{"observed_at":"2026-08-11T19:55:33.890865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.373830Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.373830Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:c45f6247e56835e2d56536a53f045c0431b599d5e21b0eeb4c388c29532ed4ea","observation_id":"1596d481-5999-4b46-a6fc-5a8a046073df","resolution":{"observed_at":"2026-08-11T19:55:33.373830Z","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":"2026-08-11T19:55:33.378722Z","title":"Florit-Simon","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.378722Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:e2e137cc0e456bef5a731b4715321390b5c4ed6d029674bc9fa3c005279258f9","observation_id":"27ca0a13-de91-497c-8dd5-4f9e8aba0626","resolution":{"observed_at":"2026-08-11T19:55:33.378722Z","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":"2026-08-11T19:55:33.856861Z","title":null,"venue":null,"work_id":"7981ca2e-d9ec-4246-a951-2e9a84cc0ae0","year":2012},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.384176Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:4a6acfed1850c9ea8e7af166e14dba1743f4b1d5cfe5722c18e44061b8969e07","observation_id":"8269fb35-c0f4-41bb-b5ee-f609bc91cb42","resolution":{"observed_at":"2026-08-11T19:55:33.862013Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02580","last_updated":"2024-10-03T15:25:12Z","snapshot_observed_at":"2026-08-12T22:31:33.455243Z","submitted_at":"2024-10-03T15:25:12Z","title":"Index, Intersections, and Multiplicity of Min-Max Geodesics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.02580","snapshot_observed_at":"2026-08-11T19:55:33.389890Z","title":"Marx-Kuo, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.389890Z"},"links":{"cited_paper":"/paper/2410.02580","citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:3924b2d601775d53d3ed293f5afd5797e4899721d80e85fd4834b53acad54c6c","observation_id":"7154fa1e-213f-4257-bd4b-781e5c3f5009","resolution":{"observed_at":"2026-08-11T19:55:33.389890Z","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":"2026-08-11T19:55:33.840000Z","title":"Millot, Y","venue":null,"work_id":"e0b789a9-fff6-4ead-a288-c8b30aa9ddb2","year":2019},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.395484Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:f43687dd3a8df64fea00207d85905e3567eb0d4047ca24c5013d594fa273ee3e","observation_id":"6d3bfacf-c6a7-4bd0-b07d-b08b9832db54","resolution":{"observed_at":"2026-08-11T19:55:33.845038Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.820432Z","title":null,"venue":null,"work_id":"369ccdbf-3d07-4cde-a278-35b8dd2005a4","year":1974},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.401797Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:5c738fe7433fd5b999886fca10a1bb554b50eb34ff4c82e04da8bf7b3382be16","observation_id":"f1b18e67-701a-411b-8ac6-0fcfbaf5936e","resolution":{"observed_at":"2026-08-11T19:55:33.827329Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.800633Z","title":null,"venue":null,"work_id":"8d1909de-af40-4110-ac22-1c8d78305f05","year":1983},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.406792Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:b014dc1722c9a673f7c0e32a9c4bca11190e1e7ed063111935b12ec70cbc722e","observation_id":"39c5e866-f25a-44c5-b2c1-93385a3f5c75","resolution":{"observed_at":"2026-08-11T19:55:33.805950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.784069Z","title":null,"venue":null,"work_id":"09b2f4a2-18b6-4345-8818-cbaedc7271b6","year":1968},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.411662Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:22356566f3b16ea283cec0c57b0cc832445be54e0ff7cd38ea6f80d2df718be2","observation_id":"18b111bb-e5cb-4699-8a26-8bd2fd960360","resolution":{"observed_at":"2026-08-11T19:55:33.789244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.766984Z","title":"Savin and E","venue":null,"work_id":"7f4fa1fe-babf-4a35-9b31-05901a436133","year":2013},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.416747Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:966a0fd3987d1f82721b36ab92f2631469cc6126de7d3b5cb6e5b111f93543e8","observation_id":"0a298f5c-f16d-454f-8974-a3a129b6826b","resolution":{"observed_at":"2026-08-11T19:55:33.772321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.749903Z","title":"Savin and E","venue":null,"work_id":"77a114d7-4de5-4ec5-9a15-d0f5b79a92e3","year":2013},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.422151Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:9cf623966b765ab3198cb18a6e5472828fe09a732f3d5b9c71b190a1575a593f","observation_id":"170df9f3-d114-4cc5-89ef-7d63fe4c7022","resolution":{"observed_at":"2026-08-11T19:55:33.755356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.04618","last_updated":"2026-05-05T04:13:40Z","snapshot_observed_at":"2026-08-07T03:54:51.292797Z","submitted_at":"2024-06-07T04:00:23Z","title":"Density estimates and the fractional Sobolev inequality for sets of zero $s$-mean curvature","version":2},"cited_work":{"arxiv_id":"2406.04618","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.04618","snapshot_observed_at":"2026-08-11T19:55:33.475210Z","title":"Density estimates and the fractional Sobolev inequality for sets of zero $s$-mean curvature","venue":"math.AP","work_id":"5ff12bf3-b318-4ef6-b097-ab20ae6a6fa4","year":2024},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.427204Z"},"links":{"cited_paper":"/paper/2406.04618","citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:8e24de6651b08ce1584f20df1af88e8871edcd4d8689f3bf2a70ff63e65339e9","observation_id":"15051d36-2785-4cee-806c-6bc4acc26d01","resolution":{"observed_at":"2026-08-11T19:55:33.483089Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T19:55:33.731154Z","title":"Wickramasekera","venue":null,"work_id":"a80e8c96-7df2-4ad7-9642-07f7f46ce278","year":2014},"citing_paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$","version":3},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:33.432399Z"},"links":{"citing_paper":"/paper/2412.06318"},"observation_digest":"sha256:4fc494e6bb7cf816f608e18f0aced1fe60b224dc5235fad3ec160774505cb9a8","observation_id":"7d0a345e-bac7-4ddd-a0b9-704ac22a0ab5","resolution":{"observed_at":"2026-08-11T19:55:33.736755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.06318","last_updated":"2025-04-08T07:24:28Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T10:18:02.217648Z","submitted_at":"2024-12-09T09:11:58Z","title":"Stable $s$-minimal cones in $\\mathbb{R}^2$ are flat for $s \\sim 0$"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":16},"total_outbound_references":27},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2412.06318."}