{"as_of":"2026-08-16T17:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b066bd85c85c13e81e444f7a8c8c30720da413999c727280d6458ad1fd32ad5","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T17:28:02.692863Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T06:43:16.714456Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.12677","snapshot_observed_at":"2026-07-31T06:43:16.714456Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.24735","last_updated":"2026-07-28T17:58:24Z","snapshot_observed_at":"2026-08-14T23:37:29.618129Z","submitted_at":"2026-07-27T17:57:36Z","title":"Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-31T06:43:16.714456Z"},"links":{"cited_paper":"/paper/2411.12677","citing_paper":"/paper/2607.24735"},"observation_digest":"sha256:f7c408ab925a588cc6464493d34170c22703a6d6f9b973ee8f07828e1e297f6d","observation_id":"3293313a-5881-4efe-aa5a-24a81d4fb589","resolution":{"observed_at":"2026-07-31T06:43:16.714456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.12677/citation-record","integrity":"/paper/2411.12677/integrity","json":"/paper/2411.12677/citation-record.json","paper":"/paper/2411.12677"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T17:28:04.060134Z","title":null,"venue":null,"work_id":"aab875a5-3588-4f83-8b07-75d313d086a4","year":1976},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.422556Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:e0669a966f6eec3c6497b75cdc2b47b0827022cbc25548005fabcd7c54599b4e","observation_id":"1cacee7e-e5fa-4b3e-8b5f-2b4ef3249d6e","resolution":{"observed_at":"2026-08-12T17:28:04.068955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:04.040638Z","title":null,"venue":null,"work_id":"447ccb6f-4298-4f0c-9208-4e68ffb663a1","year":1972},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.428854Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:3e62776917a4795cbeab3f65135c02161992f850fb7a2abc3493cc29e28dd0d7","observation_id":"162ec25e-8813-4cb8-970e-3799982a12cc","resolution":{"observed_at":"2026-08-12T17:28:04.047687Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:04.021429Z","title":null,"venue":null,"work_id":"7b90d60b-4de1-4ae6-aaeb-eda40fa7cb72","year":1986},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.434138Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:7ab5f6ed2d2f8447b0f82be91e8934543f6e2298a6c3ca47ec32e73957c9e558","observation_id":"cca6df12-86d6-41d6-a28a-cdca6dcf1da6","resolution":{"observed_at":"2026-08-12T17:28:04.027148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:04.002896Z","title":null,"venue":null,"work_id":"d66b312a-8cd5-4e90-80ac-bd91dc20d3ce","year":1966},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.439623Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:2ea544d70faf68bce394ab3386788fdd21f4685490eb15249f833d54469edb88","observation_id":"0a345efb-e7d3-451c-8ee9-d5f728e7b8f4","resolution":{"observed_at":"2026-08-12T17:28:04.008428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.981648Z","title":"Ambrosio, A","venue":null,"work_id":"6c6e7fee-a9a6-4aa8-a018-fe7d7f6358e7","year":2018},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.445992Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:988d657c9af9cdf6d10fec76dff6ef8ca3358f27703851ec0713095383cecb62","observation_id":"776e0ca5-6f51-4127-bc6d-f2707afd831a","resolution":{"observed_at":"2026-08-12T17:28:03.988618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.960020Z","title":"Ambrozio, A","venue":null,"work_id":"9dcdc4bf-2fef-4264-aeac-32f5339a72b1","year":2018},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.451817Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:77c0b5856680b795e4fdd6af17aff75908704b95e6290edc6bd6c0ea644286f5","observation_id":"3bd0caff-1435-4d3e-91f7-98ad0ce9755d","resolution":{"observed_at":"2026-08-12T17:28:03.967052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.934013Z","title":"Aronszajn, A unique continuation theorem for solutions of elliptic par tial differential equations or inequalities of second order , J","venue":null,"work_id":"c85d0bc9-f215-4556-abdb-87251ea4dab4","year":1957},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.458434Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:206f1e707a7397684acbbafe0b0d2fec5ddd7663534d65d614dd14c9836fc2d2","observation_id":"cb5d6f54-dffe-4f30-a53f-8efe31af0f1d","resolution":{"observed_at":"2026-08-12T17:28:03.939363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.910958Z","title":"B¨ ohme and A","venue":null,"work_id":"19a116b1-8e90-4bf7-a9b1-1a77bbe00540","year":1981},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.463952Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:cb21d89ee2dce8d190378ccac34681f61a133b7b95a2cd54efa14f4e93680417","observation_id":"6f7fe5a8-7dc9-46c6-b787-8b3c58341383","resolution":{"observed_at":"2026-08-12T17:28:03.918847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.886911Z","title":"Bombieri, E","venue":null,"work_id":"7eb8e8be-8416-491e-895e-dc35942b9a19","year":1969},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.469784Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:aba07cbf6b263e4f23ec89aeccc168f9388266ee67484426663c9bfae19b8319","observation_id":"6990374c-ab1b-4c38-9f25-ff30860b386f","resolution":{"observed_at":"2026-08-12T17:28:03.895771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.860823Z","title":"Caffarelli, R","venue":null,"work_id":"d2e9e3a1-618a-49e8-922e-198b93b62cb4","year":1984},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.475893Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:73b3c895666e95034c7ae30b9707ec19e0c26f1945731a6847a292587682bf6f","observation_id":"192ee9e3-f0c1-47e4-841d-4a77ceae0252","resolution":{"observed_at":"2026-08-12T17:28:03.868238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.840478Z","title":"Calabi, Minimal immersions of surfaces in euclidean spheres , J","venue":null,"work_id":"f3eb064c-5fbc-41fb-a63d-f07d984d7c5c","year":1967},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.480946Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:0cdab6e7f4dabf55ca2ec7e5e9ceb06784e24c6f2eeb5a476ef9dbd6d133084e","observation_id":"ca38c2ba-80d8-4472-8234-9662970595fd","resolution":{"observed_at":"2026-08-12T17:28:03.846701Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.821254Z","title":"Carlotto, Minimal hyperspheres of arbitrarily large Morse index , Comm","venue":null,"work_id":"a3eea79f-4550-42b0-9990-9831c6665914","year":2019},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.486199Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:99f8735660257e7f8219dd8503d4ee2573886d7294bc337bd3c0717dd742e20b","observation_id":"981f3440-f60e-457c-9e07-522eaf87ed3a","resolution":{"observed_at":"2026-08-12T17:28:03.827870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.803428Z","title":"Chodosh, Y","venue":null,"work_id":"054430ab-a1e6-4d9c-bf9e-5ba2297a61a7","year":2022},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.491066Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:f4682958427b24cfa9ac0c078b0202d9f793c4c67dddcb96ec69c6905e2eb770","observation_id":"d4bf35c0-1c86-4831-a22f-fcae50c79717","resolution":{"observed_at":"2026-08-12T17:28:03.809024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.785395Z","title":"Chodosh and C","venue":null,"work_id":"d15fa420-8643-4a57-86e8-d4530c164927","year":2023},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.496241Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:d5ae8ce1958fb31fe6380c2039488dc3bf8d2911c6eab0adc620719a420f697b","observation_id":"c0ea5ef1-4a18-4fcf-af56-2acb9206785d","resolution":{"observed_at":"2026-08-12T17:28:03.790735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:02.500919Z","title":"Chodosh, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.500919Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:e7ba11c3fa8683ab78c7bc104b7f2c903d42251cd078273aeca73678ece66f8c","observation_id":"690f2e1f-e932-4d3d-a745-be75cc299643","resolution":{"observed_at":"2026-08-12T17:28:02.500919Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.13191","last_updated":"2024-05-23T20:28:32Z","snapshot_observed_at":"2026-08-16T15:21:49.659754Z","submitted_at":"2023-06-22T20:22:38Z","title":"Improved generic regularity of codimension-1 minimizing integral currents","version":2},"cited_work":{"arxiv_id":"2306.13191","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.13191","snapshot_observed_at":"2026-08-12T17:28:03.063737Z","title":"Improved generic regularity of codimension-1 minimizing integral currents","venue":"math.DG","work_id":"9a5f31cd-9f24-44f4-8ae4-cf85cbf2d1f6","year":2023},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.506285Z"},"links":{"cited_paper":"/paper/2306.13191","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:8686d1db431693e0d438b71c9a5069747404d2a820c52108cf743bfa1a66225d","observation_id":"0065aa11-295d-4fa5-8dd2-6e8b48d325d5","resolution":{"observed_at":"2026-08-12T17:28:03.070300Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.767217Z","title":"H Cormen, C","venue":null,"work_id":"bd1afe2d-fd60-4a9b-9766-a95b177a3016","year":2022},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.511683Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:2f8c032d93c79548b61e50a304fab54ed7a638cb677b3bac93e4de04c6334f67","observation_id":"64c4016e-6f56-4740-8fda-c652e14b536c","resolution":{"observed_at":"2026-08-12T17:28:03.772593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.750007Z","title":"Edelen, Degeneration of 7-dimensional minimal hypersurfaces whic h are stable or have a bounded index , Arch","venue":null,"work_id":"e880ec15-ece7-43ab-9fab-8ec300a62d52","year":2024},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.516828Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:b32b830be6902f80bfe87140e27486b3f6488e5cdf5e097dc63517272109e261","observation_id":"65de35d0-179c-4562-9a33-e38b107a4263","resolution":{"observed_at":"2026-08-12T17:28:03.755891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.731681Z","title":"Edelen and G","venue":null,"work_id":"2f6ff6e6-1d42-4ac4-885f-d594e01c763d","year":2024},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.521875Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:991f59856a86539377ac8428296323f8ebf1c72d197b10dd902025f4ff5192ca","observation_id":"8623d4aa-95ac-4dc4-9321-1e6310c2635e","resolution":{"observed_at":"2026-08-12T17:28:03.737786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.711914Z","title":"Federer, Geometric measure theory , Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag New York, Inc., New York, 1969","venue":null,"work_id":"86f83657-d0e5-49cf-b8b8-ae45d24ce04b","year":1969},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.528456Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:8a391907f74302ba4909eab3c4c0f15b7d6e3e3ff545f49d8fbf6c6485931ad7","observation_id":"0d570f87-8ebb-4306-bd1b-3e8cbc67aaf7","resolution":{"observed_at":"2026-08-12T17:28:03.718036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.691241Z","title":"Federer and W","venue":null,"work_id":"a434d041-26cf-471a-b9b1-cfe9b94f86c6","year":1960},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.533649Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:8308c359c05ac751ae0cfa724f3c3527159cdbef01ea0112393b7ca583f79b19","observation_id":"b4147bb2-2911-4774-9f8d-bcd807a7633a","resolution":{"observed_at":"2026-08-12T17:28:03.697270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.672108Z","title":"Hardt and L","venue":null,"work_id":"f470ce4e-1495-4232-abad-c70a192e84d0","year":1985},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.538498Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:6b51d6265a5a4b08845b9eff15b11765d0669d694095ab52b204e6d0e9c72e5a","observation_id":"23f87ddf-c2a3-4405-bc9a-bf54dad4374b","resolution":{"observed_at":"2026-08-12T17:28:03.677436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.652491Z","title":"Hsiang, Minimal cones and the spherical Bernstein problem","venue":null,"work_id":"d46d68a0-7bd6-41cd-b537-adf3a980b283","year":1983},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.543229Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:0d959b10b5a495ef89e1382d794a66dd36346e5cc18abb507929036c9de48d1c","observation_id":"ef5d88a8-9812-4f10-b90b-5ccb85c53bff","resolution":{"observed_at":"2026-08-12T17:28:03.658096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.631009Z","title":"Karpukhin, Index of minimal spheres and isoperimetric eigenvalue ineq ualities, Invent","venue":null,"work_id":"79bd2b08-306d-4c56-8dd1-ee0acde8bc61","year":2021},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.548199Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:6eb148add2e33ff8c9cdba6d4ae8c6b2ed4d358e0e046f1ac6f2e183c8905193","observation_id":"71c945bb-2a79-42d4-89ec-3c49edd170c2","resolution":{"observed_at":"2026-08-12T17:28:03.637244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.611164Z","title":"Kusner and P","venue":null,"work_id":"031a162a-7a17-4ebc-8b70-cdba125ee070","year":2024},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.553158Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:c302f3207a5ed9ab41d2000bbc2d69a6b234310e18dcb7abcc9b807115088b11","observation_id":"a2f01190-0b5e-4e17-bf14-b83bb0c699bc","resolution":{"observed_at":"2026-08-12T17:28:03.616366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.03417","last_updated":"2024-01-07T08:12:51Z","snapshot_observed_at":"2026-08-16T14:29:21.469336Z","submitted_at":"2024-01-07T08:12:51Z","title":"Regularity of the geodesic flow on submanifolds","version":1},"cited_work":{"arxiv_id":"2401.03417","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.03417","snapshot_observed_at":"2026-08-12T17:28:03.032702Z","title":"Regularity of the geodesic flow on submanifolds","venue":"math.DG","work_id":"a5d7cefc-349d-4d15-9478-74ebbb947e7a","year":2024},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.557948Z"},"links":{"cited_paper":"/paper/2401.03417","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:c7a3ac19a9a024529a6df819e332ee0ffe4e9813586310c10c495b27c8e3521f","observation_id":"793587e9-213a-4370-9b78-abfcb458e4bb","resolution":{"observed_at":"2026-08-12T17:28:03.039532Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.579776Z","title":"Li, Existence of infinitely many minimal hypersurfaces in highe r-dimensional closed manifolds with generic metrics , J","venue":null,"work_id":"0f4d5b7f-d0e4-4a12-ae82-5678b868396d","year":2023},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.562980Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:969cbf12bf05ea81e52489871620ed528c1e11f7ad4dc7b20b9eaa9698fbe188","observation_id":"8e1f58f8-b62e-4d4d-88ba-cac37c4dad81","resolution":{"observed_at":"2026-08-12T17:28:03.586344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.05401","last_updated":"2021-08-04T16:59:41Z","snapshot_observed_at":"2026-08-13T20:48:40.074750Z","submitted_at":"2020-12-10T01:43:49Z","title":"Generic Regularity of Minimal Hypersurfaces in Dimension 8","version":2},"cited_work":{"arxiv_id":"2012.05401","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.05401","snapshot_observed_at":"2026-08-12T17:28:02.998897Z","title":"Generic Regularity of Minimal Hypersurfaces in Dimension 8","venue":"math.DG","work_id":"4ae70154-b6d6-415c-86e9-582eb3b12578","year":2020},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.568424Z"},"links":{"cited_paper":"/paper/2012.05401","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:bddad535f497d4f4969b403fd99ebb974a991f6ab1ed55c3711031b06d3ead54","observation_id":"08150d31-8ce5-4f2a-ad70-98f75d9a0013","resolution":{"observed_at":"2026-08-12T17:28:03.007011Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.01047","last_updated":"2022-05-02T17:31:52Z","snapshot_observed_at":"2026-08-16T17:03:07.253301Z","submitted_at":"2022-05-02T17:31:52Z","title":"Minimal hypersurfaces for generic metrics in dimension 8","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.01047","snapshot_observed_at":"2026-08-12T17:28:02.573666Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.573666Z"},"links":{"cited_paper":"/paper/2205.01047","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:029e7e8888859cf741f130f110bbb719b9c84739f31768a08e2351369e5fa4f1","observation_id":"51b98be1-236b-424e-9133-e532cd9a1736","resolution":{"observed_at":"2026-08-12T17:28:02.573666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.08315","last_updated":"2025-06-19T15:02:33Z","snapshot_observed_at":"2026-08-16T16:52:27.817284Z","submitted_at":"2022-06-16T17:21:53Z","title":"Area-minimizing submanifolds are not generically smooth","version":10},"cited_work":{"arxiv_id":"2206.08315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.08315","snapshot_observed_at":"2026-08-12T17:28:02.946836Z","title":"Area-minimizing submanifolds are not generically smooth","venue":"math.DG","work_id":"f4dc0b28-4b75-4c2b-b3c7-a0eb193357b8","year":2022},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.579226Z"},"links":{"cited_paper":"/paper/2206.08315","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:3c51e5f99df8bdc595f895a4107a25c26e2d5c035892ea3267f9adafe25f522f","observation_id":"b92dbc4f-bd62-4d6c-a72b-2c641695e6b4","resolution":{"observed_at":"2026-08-12T17:28:02.954448Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.560150Z","title":null,"venue":null,"work_id":"e9990629-9b4a-4cd6-87d3-962fe498e5df","year":1985},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.585017Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:e80d433836bb91de2916c83da139b1f59e76a859bf42a0bbd27a8c27ff4cf0ff","observation_id":"5a6f1924-e110-4292-b7ed-a24c7d1c5013","resolution":{"observed_at":"2026-08-12T17:28:03.566767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.538690Z","title":null,"venue":null,"work_id":"ad594c26-3ece-49ab-a032-1d9f3d388e49","year":2014},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.590138Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:1d77c2781517df01f820051e363a690a473492693a2489f2d9c91c845ebe6574","observation_id":"97b62668-a113-48c0-8ea1-fe7ae089e88d","resolution":{"observed_at":"2026-08-12T17:28:03.545111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02580","last_updated":"2024-10-03T15:25:12Z","snapshot_observed_at":"2026-08-16T13:12:55.479787Z","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":"2026-08-12T17:28:02.594630Z","title":"Marx-Kuo, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.594630Z"},"links":{"cited_paper":"/paper/2410.02580","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:b71d44434dde5e1da5fc11c8744b87f5e3b36be2ec8245b9ade35f0466ed516e","observation_id":"11ad8f3c-7121-4fdc-a739-ef0b58fb67f2","resolution":{"observed_at":"2026-08-12T17:28:02.594630Z","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":"2026-08-12T17:28:03.520165Z","title":null,"venue":null,"work_id":"a7dfcab9-8456-4c7b-9063-c9ff854e8158","year":1993},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.600363Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:6310d61caf64d9aac36f3e6e51679f918dd2e6dfdcf4d00c31f5e2a76996f9da","observation_id":"318f1a63-262e-481d-aed3-563e31668943","resolution":{"observed_at":"2026-08-12T17:28:03.526408Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.499025Z","title":null,"venue":null,"work_id":"81710af4-e65f-468e-b7f1-45716b2c2098","year":2006},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.605326Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:23d5d638b8db3e563bc04fdd60c355533ed706472b6aaa8d6240d2b5fd12368b","observation_id":"048a5be5-3245-4986-958a-06a2cfd58638","resolution":{"observed_at":"2026-08-12T17:28:03.506663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.480447Z","title":"Global Anal","venue":null,"work_id":"0f6e790f-963f-47d3-80b2-9a72470e57ee","year":2021},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.610554Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:d1e3c9835a447aa972e65aca6486dc149b0e0368b73a80824c100cfc51469825","observation_id":"a16d3b00-f85e-48f9-8f5f-81ba6b01ba31","resolution":{"observed_at":"2026-08-12T17:28:03.487074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.455491Z","title":"Pacini, Desingularizing isolated conical singularities: Uniform estimates via weighted sobolev spaces , Comm","venue":null,"work_id":"84cbd60d-f7d0-466c-ae05-3e7d90b81ad3","year":2013},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.615665Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:3a7f6c063efe7ad6bd696ef8a04182d4f3b261cb098bd47041e9230ebe53ab45","observation_id":"e514956f-3b87-4da0-afdc-742e271fff8a","resolution":{"observed_at":"2026-08-12T17:28:03.463476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.435000Z","title":null,"venue":null,"work_id":"cedaa708-3207-4fd3-94b2-38ed959438a5","year":1981},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.620487Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:08243436bf300f7bdf940572540494f8bc0bfad3276c40289cdadb158670a664","observation_id":"6dc74acb-a88f-40ca-a7c2-daff2d1cfb11","resolution":{"observed_at":"2026-08-12T17:28:03.441228Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.417635Z","title":"Sharp, Compactness of minimal hypersurfaces with bounded index , J","venue":null,"work_id":"0db3f845-589b-4f64-8360-b766bbe09df9","year":2017},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.625366Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:88eb33a14082a223b3efff1ba475b0f410e6df06dc2226e6181aa3d180f23817","observation_id":"b1aefac0-356c-49da-bf44-6fd0b9aab102","resolution":{"observed_at":"2026-08-12T17:28:03.423286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.397489Z","title":"Simon, Asymptotics for a class of nonlinear evolution equations, w ith applications to geometric problems , Ann","venue":null,"work_id":"5bf65439-0fa9-483e-9fdb-b866cc487d1c","year":1983},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.630530Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:88675d73566b53a54ca2ac001cc3fd548d3f7544097b175a0ce24a5fb0fafa71","observation_id":"f3a69cae-1876-40e0-a725-7f727b76058d","resolution":{"observed_at":"2026-08-12T17:28:03.403691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.379435Z","title":null,"venue":null,"work_id":"abe6526a-7e3c-4b16-b277-68ab70ab361a","year":1983},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.635453Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:11b6501c0d88a2d317a24f90470fa96afb5b2fa0b6784f95117b96f6bf0bb8af","observation_id":"5bddcdff-39a6-4857-9972-981180a85583","resolution":{"observed_at":"2026-08-12T17:28:03.384756Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.359306Z","title":null,"venue":null,"work_id":"b53ce154-6307-4225-a1ef-71064bf258cc","year":1984},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.640966Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:69223d4df1aeaff9c719812f22ee31fafbbb9e65bee363d6a2934d9850453e2f","observation_id":"24ab83d4-4cdc-4f7d-8b4d-6afac1696486","resolution":{"observed_at":"2026-08-12T17:28:03.364952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.339311Z","title":"Simons, Minimal varieties in riemannian manifolds , Ann","venue":null,"work_id":"5235fa05-2041-4a3d-8e3b-7ad4ad6f6900","year":1968},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.645896Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:1819daab11bc01ea3223f1eb21fd360c449ce2439ca1edc1e05335b256bdd89c","observation_id":"6e5491a8-7609-4879-ad51-2c4dd6479874","resolution":{"observed_at":"2026-08-12T17:28:03.345516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.316572Z","title":"Smale, Generic regularity of homologically area minimizing hyper surfaces in eight-dimensional mani- folds, Comm","venue":null,"work_id":"a353f00a-893f-435b-ad70-9dfb6f01713d","year":1993},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.651127Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:ef6a720107bfa7889cc036c8f3fda33f8a81a5573b84dc8cd7bd881f3ff0a0a2","observation_id":"2d7f6985-3e7d-4162-a4e6-29f7978494cb","resolution":{"observed_at":"2026-08-12T17:28:03.323155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.00548","last_updated":"2020-11-01T16:14:38Z","snapshot_observed_at":"2026-08-14T12:35:06.188737Z","submitted_at":"2020-11-01T16:14:38Z","title":"Deformations of Singular Minimal Hypersurfaces I, Isolated Singularities","version":1},"cited_work":{"arxiv_id":"2011.00548","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.00548","snapshot_observed_at":"2026-08-12T17:28:02.768804Z","title":"Deformations of Singular Minimal Hypersurfaces I, Isolated Singularities","venue":"math.DG","work_id":"3b055091-a1a4-4385-8d1c-adafb05ba4eb","year":2020},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.656338Z"},"links":{"cited_paper":"/paper/2011.00548","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:c5c12bf04b3f4500ee63114ab14740d8b73e08e7c30a2e9af47c23c4ad6634bf","observation_id":"8654cd6f-cec8-414e-97e6-7b61309e7683","resolution":{"observed_at":"2026-08-12T17:28:02.774679Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.292183Z","title":null,"venue":null,"work_id":"0d18034c-1b68-4898-ab97-580a52e1d26f","year":2024},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.661338Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:f28c8c3bd9d00fc061eea2a7ee81509410b0112e2a4ce94997945cbfd071edbe","observation_id":"30daaa43-9ee2-4d02-a933-661d2e1deeb8","resolution":{"observed_at":"2026-08-12T17:28:03.300221Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.05148","last_updated":"2019-12-03T17:20:07Z","snapshot_observed_at":"2026-08-14T17:30:22.594746Z","submitted_at":"2019-01-16T06:20:53Z","title":"Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents","version":2},"cited_work":{"arxiv_id":"1901.05148","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.05148","snapshot_observed_at":"2026-08-12T17:28:02.736820Z","title":"Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents","venue":"math.DG","work_id":"bcb27105-f4d5-463c-8014-1842da2d9861","year":2019},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.666113Z"},"links":{"cited_paper":"/paper/1901.05148","citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:67600cc4386793dd898e5d28db4588770073fc055da478267cc516e1051c5cda","observation_id":"a4a04e19-06d6-4ea9-b7b2-b1596a40d6ca","resolution":{"observed_at":"2026-08-12T17:28:02.745264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.271781Z","title":null,"venue":null,"work_id":"d760fb68-02d3-4d57-aba5-284afca4adc0","year":1985},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.671621Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:4e08f3467c4ab7917253f7ddcbbf93abb005ca910b079b997cc19ada231194cd","observation_id":"79694641-8ac4-45d0-ab3e-d633f4cdc099","resolution":{"observed_at":"2026-08-12T17:28:03.277747Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.254461Z","title":null,"venue":null,"work_id":"4ffcc4b5-ebe9-4744-a653-06cedfb71a8f","year":1991},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.677118Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:0ea0c3050d7ed49dc9a0ded89851281601a344ca136f36e24902bf022c44a163","observation_id":"8799f1d5-24be-4e1d-8105-e084b615becb","resolution":{"observed_at":"2026-08-12T17:28:03.260412Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.233417Z","title":null,"venue":null,"work_id":"2d351527-7321-4904-8854-36ec54c5b7f5","year":2009},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.681986Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:b59e457fa812255033f7e41a6b3bc1f101c3801488cd7818e7a8e8eac9aa21ad","observation_id":"049a9004-5d0e-44db-8137-62b1cd793078","resolution":{"observed_at":"2026-08-12T17:28:03.240012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.215098Z","title":null,"venue":null,"work_id":"ceedb011-d5a0-4e37-b523-9489b3611be8","year":2017},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.686890Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:651447cb1fca688a23ddc4f1dc97111181374c94c38469e6849ada5642356f9e","observation_id":"1c3190ce-1364-4b5b-9930-640b53d6dafd","resolution":{"observed_at":"2026-08-12T17:28:03.221418Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-12T17:28:03.195171Z","title":null,"venue":null,"work_id":"9414e2ea-9c57-427e-8c79-175e6a46ddcc","year":1982},"citing_paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T17:28:02.692863Z"},"links":{"citing_paper":"/paper/2411.12677"},"observation_digest":"sha256:5df03ef9d7dafd33771abe13360057ef1ae541ffbf8e92953b1683caa96cc135","observation_id":"615412a2-adc7-496d-aba8-1fefb67af156","resolution":{"observed_at":"2026-08-12T17:28:03.200596Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.12677","last_updated":"2025-02-28T15:09:31Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T17:14:01.110196Z","submitted_at":"2024-11-19T17:30:38Z","title":"Non-persistence of strongly isolated singularities, and geometric applications"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":6,"verified_fuzzy":26},"total_outbound_references":52},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2411.12677."}