{"as_of":"2026-08-20T08:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:31f277c46dbd780f3ac1bccc8f794b5ecca97abee60e82296fa2e5d80789e580","coverage":[{"denominator":109,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T00:37:59.311122Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-06-29T09:45:31.272703Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-29T09:53:17.564879Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"cited_work":{"arxiv_id":"2501.18149","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.18149","snapshot_observed_at":"2026-06-29T09:53:17.564879Z","title":"Bousquet, A","venue":null,"work_id":"a0a99438-7169-4fe7-90b0-d8612a8837f5","year":2025},"citing_paper":{"arxiv_id":"2605.28622","last_updated":"2026-05-27T15:30:34Z","snapshot_observed_at":"2026-07-06T23:38:09.179597Z","submitted_at":"2026-05-27T15:30:34Z","title":"Topological singular set of manifold-valued maps weakly approximable by smooth maps","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T09:45:31.272703Z"},"links":{"cited_paper":"/paper/2501.18149","citing_paper":"/paper/2605.28622"},"observation_digest":"sha256:f1b71481f7eed3c9d32e2fd5b233f71aa83b5ceffbeee06afe6ba6e1e834bad4","observation_id":"6084adc0-3187-4b80-9b2f-3ea28bf5f0f0","resolution":{"observed_at":"2026-06-29T09:53:17.566665Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18149/citation-record","integrity":"/paper/2501.18149/integrity","json":"/paper/2501.18149/citation-record.json","paper":"/paper/2501.18149"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:37:58.866001Z","title":"Alberti, S","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.866001Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:5b9d6ed07c98ac93ac3115808b7dcc4a556eeb27d5263b50badaa2bff9796b65","observation_id":"db712c6b-267e-4514-ad40-a56d1779cc89","resolution":{"observed_at":"2026-08-10T00:37:58.866001Z","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":"2026-08-10T00:37:58.871497Z","title":"Angelsberg and D","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.871497Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:33d657d215647558f7c875e20388bc3d32038259659ab238be869d1fc62461c5","observation_id":"ef7e2f13-6921-4be5-aeac-351ebd527bd6","resolution":{"observed_at":"2026-08-10T00:37:58.871497Z","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":"2026-08-10T00:37:58.876215Z","title":"Ball,Convexity conditions and existence theorems in nonlinear elasticity,Arch","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.876215Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:c9c2453b0c61fec9a2d4b3ae39b68a779c04c1801145b72a63246b0ac204c6a7","observation_id":"1d7dabe3-2d96-4d68-9052-d32dcc360053","resolution":{"observed_at":"2026-08-10T00:37:58.876215Z","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":"2026-08-10T00:37:58.880619Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.880619Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:e09c2b282849cbcda34e6f78db144378a13ef2ccda507e53a88a851d7704c3db","observation_id":"136948e7-a48b-4bc6-af0f-c1174d97ed30","resolution":{"observed_at":"2026-08-10T00:37:58.880619Z","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":"2026-08-10T00:37:58.884880Z","title":"Bernard, J.-F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.884880Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:38b0d4a75e009b86b091b6020f3ba05aacf62240eb17c6272007970004b67f14","observation_id":"fa8e9aa7-ac6b-415c-8417-62cf1e9ea262","resolution":{"observed_at":"2026-08-10T00:37:58.884880Z","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":"2026-08-10T00:37:58.889117Z","title":"Bethuel,A characterization of maps inH 1(B3, S2) which can be approximated by smooth maps, Ann","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.889117Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:e78ab185218b89c46388667b349d1bc7a1b628541585b430c98e7cee3761272c","observation_id":"08cf0527-29cf-4a02-87a8-eb413e8483e4","resolution":{"observed_at":"2026-08-10T00:37:58.889117Z","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":"2026-08-10T00:37:58.894059Z","title":"167 (1991), 153–206.↑3, 10, 11, 162, 181, 197, 198","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.894059Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:80d5fc585164f252bb289de19a67f74aaa945c071a9f69d0870b1733c2b1efd0","observation_id":"2bfb1bb1-eee2-4a2c-bd3a-8ac73940d79c","resolution":{"observed_at":"2026-08-10T00:37:58.894059Z","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":"2026-08-10T00:37:58.898320Z","title":"Math.219 (2020), 507–651.↑11","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.898320Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:5618a37f51f416a63f9b157bd68277df535d3e59f6b46110a59aed1cfaaef7a5","observation_id":"f3401282-ec53-4a97-8a3c-956424223058","resolution":{"observed_at":"2026-08-10T00:37:58.898320Z","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":"2026-08-10T00:37:58.902464Z","title":"Bethuel, J.-M","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.902464Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:62369275237a00268b05e58b61cf08fd405b78711b1741c2c9eaed92141e61ea","observation_id":"2c5ff68d-d2fc-4ea9-93d1-dc7fb32a226d","resolution":{"observed_at":"2026-08-10T00:37:58.902464Z","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":"2026-08-10T00:37:58.906568Z","title":"Bethuel and X","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.906568Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:a73f143b19f82e6c70b239554a3db7330d2419b625050c446b5abc32927f541d","observation_id":"55147bd0-2c4d-42f4-b93e-9e9304076da1","resolution":{"observed_at":"2026-08-10T00:37:58.906568Z","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":"2026-08-10T00:37:58.911459Z","title":"Bott and L","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.911459Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:489a83182e8409e5517ced54e9bce67587e90ca06e69f8f31053821e92d190f3","observation_id":"31fc99b5-8b75-41cb-b009-920d56a8d76b","resolution":{"observed_at":"2026-08-10T00:37:58.911459Z","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":"2026-08-10T00:37:58.915953Z","title":"Bourgain, H","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.915953Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:12e0cf95de12311623de41c2a9abbeb4188f02f07185a4cd9cbb74c487df77f1","observation_id":"cb793eaa-1ba5-4080-bc92-fd9e258fd43d","resolution":{"observed_at":"2026-08-10T00:37:58.915953Z","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":"2026-08-10T00:37:58.920524Z","title":"Bousquet,Topological singularities inW s,p(SN , S1), J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.920524Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:28d8de49e4a52354f389b7f91119b90a3c1aeabeff024c20fc973cb42a9924ee","observation_id":"92246de3-dfea-459e-b28c-baabbed4d90d","resolution":{"observed_at":"2026-08-10T00:37:58.920524Z","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":"2026-08-10T00:37:58.924959Z","title":"Bousquet and P","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.924959Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:a04e1c384e98adb10a95e71fafc54b9489ed283952237045c519031851312f0b","observation_id":"cdbcc146-8c03-4aec-990d-15eaafb58de7","resolution":{"observed_at":"2026-08-10T00:37:58.924959Z","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":"2026-08-10T00:37:58.929476Z","title":"Bousquet, A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.929476Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3b308bcbf904ca38d2d8f6b537ee79b5f69afba24651d137add1f26c9c4aba74","observation_id":"2384a3dd-b371-4139-b51b-bbe46fb0de4c","resolution":{"observed_at":"2026-08-10T00:37:58.929476Z","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":"2026-08-10T00:37:58.933929Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.933929Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:65e85a974bdd0308ae52fb60b620fa4dc303c7620253082ea5d01e8f4ee2f810","observation_id":"b708576d-0504-4f61-aaf9-82a91c416424","resolution":{"observed_at":"2026-08-10T00:37:58.933929Z","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":"2026-08-10T00:37:58.938472Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.938472Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:c84d3d3d2cee07988f96fa79f3e55e15ffb6b68b416e92dd00ee250037f1921a","observation_id":"fb17fd55-ee31-43e8-82a4-ebf5d18beabb","resolution":{"observed_at":"2026-08-10T00:37:58.938472Z","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":"2026-08-10T00:37:58.942987Z","title":"Branding, S","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.942987Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:8987f86189a1eb11ba75379568fa6a11e3157068c7fa9474121bb0d13b7b128c","observation_id":"210ed7a8-509f-4703-8e79-743218bc91dc","resolution":{"observed_at":"2026-08-10T00:37:58.942987Z","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":"2026-08-10T00:37:58.947780Z","title":"Brezis,Relaxed energies for harmonic maps and liquid crystals, Ricerche Mat.40 (1991), 163–173.↑1 203 Preprint – January 2025 204 BIBLIOGRAPHY","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.947780Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:51d78131dc3d72f085486def05cdd2a123d27e13910d6250aa713b31f3c467a9","observation_id":"4b437c7a-0fa2-49ed-b8f1-053f2e0ebab9","resolution":{"observed_at":"2026-08-10T00:37:58.947780Z","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":"2026-08-10T00:37:58.952526Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.952526Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:480e37342e85b8f021f6f7b19b587f5c7a19271616aa546d0e09a5029b3d0cb8","observation_id":"dd93881d-7cc7-427b-b8f3-4e4509ddd0ea","resolution":{"observed_at":"2026-08-10T00:37:58.952526Z","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":"2026-08-10T00:37:58.957002Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.957002Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3f51be13e803b9433f029b2d7056369c7f125fbfe9de5036866c2d609ffbe2cc","observation_id":"fa984252-7b1e-4227-a205-cb37f9b7591b","resolution":{"observed_at":"2026-08-10T00:37:58.957002Z","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":"2026-08-10T00:37:58.961621Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.961621Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:6e9368d0a5199da8033be6dbd9c37990a8d483872e8b1a91cede8dcdaaeb8f1f","observation_id":"94da05b9-58e8-46c4-8e1d-b6ea64e9b49e","resolution":{"observed_at":"2026-08-10T00:37:58.961621Z","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":"2026-08-10T00:37:58.966159Z","title":"Brezis, J.-M","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.966159Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:21b9759faaf59c201fcc3b2513cd2de1bf4bd54a8ef8efb6fe211420ef818da1","observation_id":"f64f962a-afbc-4213-abf7-9187cc1dce25","resolution":{"observed_at":"2026-08-10T00:37:58.966159Z","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":"2026-08-10T00:37:58.970981Z","title":"Brezis and Y","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.970981Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:1404b0353ff124e6f34d6c5cc8bdd0b77a01a2241fffae90fa4b6e98670e96ed","observation_id":"b1a2504c-ccb1-488f-b52e-ad24d03e6fbf","resolution":{"observed_at":"2026-08-10T00:37:58.970981Z","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":"2026-08-10T00:37:58.975615Z","title":"Brezis and P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.975615Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:2d5680535c1c3acccf5919bc579a696f402ab77db96bd19eee1a844ac5888966","observation_id":"3a00bb27-efed-41ce-a8aa-fcfc120203da","resolution":{"observed_at":"2026-08-10T00:37:58.975615Z","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":"2026-08-10T00:37:58.980178Z","title":"Brezis and L","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.980178Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:0a151c07fd09bd8400231e188eacf8c6d251eeaf6db464324cafcb920982eb55","observation_id":"b8c06e16-f741-4f12-926a-5a01d10c44cc","resolution":{"observed_at":"2026-08-10T00:37:58.980178Z","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":"2026-08-10T00:37:58.985006Z","title":"Canevari and G","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.985006Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:d885f332cfa1bd160ab9c29277ee18d37e9e30f84e253557f32eaa5c93a949d1","observation_id":"da039b68-c8dd-440b-af61-14e74b28509b","resolution":{"observed_at":"2026-08-10T00:37:58.985006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00205-021-01671-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Archive for Rational Mechanics and Analysis","work_id":"c7057d95-5ed9-4396-a418-7995c86214c1","year":2021},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.989549Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:2d07049f6c34c4e60c6de67d9e975381ed7d30e4951c28d6eb4aa56c934b7a1c","observation_id":"0cb063fb-cb4f-4500-a494-463b6cbd6bbb","resolution":{"observed_at":"2026-08-10T00:37:59.393201Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:58.994243Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.994243Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:8f1d92185063a1f2349e9f458eb5b8f80d72d988db2e5282170e719dc100c2cb","observation_id":"bb6ca6a3-f534-4736-9b43-75819e5f9d06","resolution":{"observed_at":"2026-08-10T00:37:58.994243Z","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":"2026-08-10T00:37:58.998934Z","title":"Coron, J.-M","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:58.998934Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:d9d96fc7fb233a827e5ebd3287856f84ab969132bc8a9a70de406c7c9e15b833","observation_id":"65d2359b-f7fa-4210-8d1a-d83a9013f08b","resolution":{"observed_at":"2026-08-10T00:37:58.998934Z","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":"2026-08-10T00:38:00.799014Z","title":"Demengel,Une caractérisation des applications deW 1,p(BN , S1) qui peuvent être ap- prochées par des fonctions régulières, C","venue":null,"work_id":"1145de15-8262-4606-983f-61f876a9124f","year":1990},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.003660Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:cc636009caee2e87e47508fd54d723cfa6bb61c5454fed1108da45b7adeeff05","observation_id":"aeafeca0-445e-4e6a-bd8b-608228461b67","resolution":{"observed_at":"2026-08-10T00:38:00.803949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.784179Z","title":"de Rham,Differentiable manifolds","venue":null,"work_id":"12a9058b-3fff-48b9-8e23-01072b868b20","year":1984},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.008112Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:f012047dfde5f569bb2c528ad52525645da783cc5fa6cfc0ec4d3e5812717148","observation_id":"0a8d72d4-9f53-429a-be43-a64d6cec7fa2","resolution":{"observed_at":"2026-08-10T00:38:00.788465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2305.12589","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:37:59.639743Z","title":"Detaille,A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds","venue":null,"work_id":"97b107c8-d09c-4df4-b865-6eb5ae0f7b0e","year":null},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.012773Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:f10fe092f033cba0125f79f6d5ed90f496ea6d4aa50c3486e3a5950d34e51f89","observation_id":"9aa20013-4980-49c2-8e90-e90bf2847c91","resolution":{"observed_at":"2026-08-10T00:37:59.650692Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2402.17373","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:37:59.543893Z","title":"arXiv:2402.17373.↑156","venue":null,"work_id":"87319b8c-1285-435a-8542-73531e8d6035","year":null},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.017385Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b52a9ffc9c357544ab92901135c27b21db3ba563ce21c533ae0f44630291fe8c","observation_id":"b222e9a1-33ea-470b-b252-233ccfb23a59","resolution":{"observed_at":"2026-08-10T00:37:59.551539Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.769677Z","title":"Detaille, P","venue":null,"work_id":"a01e6ec1-915c-4079-9fc1-faeb6c54526a","year":null},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.022184Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:75b8614323dfcade33d1515729af37ca993b4cb3777d6f7fe8c5b734420e517f","observation_id":"8c1e4941-7f79-4cc0-b31e-62b2bd146c0f","resolution":{"observed_at":"2026-08-10T00:38:00.774140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.12889","last_updated":"2025-04-12T17:41:16Z","snapshot_observed_at":"2026-08-19T20:19:38.941237Z","submitted_at":"2024-12-17T13:16:30Z","title":"Analytical obstructions to the weak approximation of Sobolev mappings into manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.12889","snapshot_observed_at":"2026-08-10T00:37:59.027086Z","title":"Detaille and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.027086Z"},"links":{"cited_paper":"/paper/2412.12889","citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:53ed3f8d3067751fe8504e8fc70ec7f2cd20a1c85ed5c5e13bf7e69b9e041d27","observation_id":"135ce5e5-00f2-4fda-a7cd-2a3029c20c3b","resolution":{"observed_at":"2026-08-10T00:37:59.027086Z","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":"2026-08-10T00:38:00.756631Z","title":"Eells and B","venue":null,"work_id":"91bbf29d-2580-4945-96ff-c9b825ba4784","year":2001},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.032273Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:67d1e6335083bca75b6d761c8008a0b6a2624afc83ad8de0c9890d1d38292f53","observation_id":"baeb00e4-95c9-462a-9df2-5e24807d87f6","resolution":{"observed_at":"2026-08-10T00:38:00.760677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.742343Z","title":"Eells and L","venue":null,"work_id":"a64db806-0ac5-4830-acd7-956d48e8b066","year":1995},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.036729Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b6fea6db20c82632d5137b11f868ff91fcd02bee917765e16e4e7d9e00be35c2","observation_id":"93450fa2-475f-4126-9f4f-3373ac1cca25","resolution":{"observed_at":"2026-08-10T00:38:00.746937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.728547Z","title":"Eells and J","venue":null,"work_id":"fb1595c6-accd-4a66-986e-3810c03b10c8","year":1964},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.041291Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:7e02d68d7570ea57bf67ddb89c23c4a21fd1e527912d9c66746710e88fa417f6","observation_id":"183e06ab-f6e5-45e4-b586-51c8269ac7d0","resolution":{"observed_at":"2026-08-10T00:38:00.733110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.712942Z","title":"U.S.-Japan Seminar in Differential Geom- etry (Kyoto, 1965), Nippon Hyoronsha, Tokyo, 1966, pp","venue":null,"work_id":"d60419a1-490b-4ac8-b8fb-9746d3b448be","year":1965},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.045768Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:1d3a79f3be066d81cd42434dada58eac876f3a7aba7674a1628b0bff15f6f166","observation_id":"f335e7da-42cc-423f-8d5f-0ad94000220f","resolution":{"observed_at":"2026-08-10T00:38:00.718681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.698144Z","title":null,"venue":null,"work_id":"1d9cbfee-4d9d-4988-a7f9-fb854044a1c2","year":2015},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.050319Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:8c6b0e997db5c4a967a37e03cd18cdce1532ddbed57917d8beb1831184ea1c87","observation_id":"7905b81e-278e-4f2e-ae47-e3d04477fc2a","resolution":{"observed_at":"2026-08-10T00:38:00.702865Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.683485Z","title":"Federer,Geometric measure theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag, New York, 1969.↑75","venue":null,"work_id":"396143b7-b650-480e-afcc-23aaf09c96fd","year":1969},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.054203Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:70c427eb6ad8c5ca0a3297b55925144aef5970094e3d6b277f525837cd931aad","observation_id":"698d233c-ce39-4839-b5e5-e891b974bef5","resolution":{"observed_at":"2026-08-10T00:38:00.688349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.668227Z","title":"Federer and W","venue":null,"work_id":"73b3f474-a02d-40b3-a7df-3b1ed5f67e2d","year":1960},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.058698Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3a0a9ce7a4ffc5e2fee686b53a2055c57074d7ca592adfbb1509eb869f658618","observation_id":"576d03f8-25e8-4619-aea0-75219f3d6588","resolution":{"observed_at":"2026-08-10T00:38:00.672843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.651962Z","title":"Fuglede,Extremal length and functional completion, Acta Math.98 (1957), 171–219.↑6, 19, 37 Preprint – January 2025 BIBLIOGRAPHY 205","venue":null,"work_id":"e86c760e-b1b6-4267-aeea-3cc8cb6e32d8","year":1957},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.062665Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b3a3762325c90622873fc5ca4ab04dbad82d3da94e66fa2bc1bd1bc3c66d28e0","observation_id":"5429d7e9-8f1a-40eb-8051-acb749d2ec0b","resolution":{"observed_at":"2026-08-10T00:38:00.657522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.637132Z","title":"Gastel,The extrinsic polyharmonic map heat flow in the critical dimension, Adv","venue":null,"work_id":"49ad977c-c4ad-4468-b9f5-00c0f3e9f988","year":2006},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.066744Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:994aaa731977f38247106277c8ce081f789e40ff2a31abe012ea9a64ed3bfeff","observation_id":"e7e0b49e-cbb5-4a4f-a24f-8b4673602bf2","resolution":{"observed_at":"2026-08-10T00:38:00.642008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.622776Z","title":null,"venue":null,"work_id":"a88aa59a-5aea-42f1-ab5d-18f3536af910","year":2016},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.070762Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:5a80526826195456f7838a22414783a07358b63db42e64f5b682cb10ed7c9256","observation_id":"ee0f9716-9c01-4f68-8704-852d7361b825","resolution":{"observed_at":"2026-08-10T00:38:00.627704Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.607958Z","title":"Gastel and C","venue":null,"work_id":"2b88a334-d35d-4b1b-ac88-528179c6e8f7","year":2009},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.074799Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:8739da0c1e02c2d1980745999a1b269e95c6afe842448ecf30d03070c39720d7","observation_id":"4b707592-57a5-4a6a-8470-20973f424b33","resolution":{"observed_at":"2026-08-10T00:38:00.612821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.592593Z","title":"Giaquinta and L","venue":null,"work_id":"c13338bf-f913-421d-9d50-10bb4b20f04b","year":2012},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.078943Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:65d9702acc1e9e7e09cd829153be4413a87929128f3c021b88901ce2d7f9a62b","observation_id":"af54907e-5530-4765-8bcd-bf995d3e2f1d","resolution":{"observed_at":"2026-08-10T00:38:00.597563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.576968Z","title":"Giaquinta, G","venue":null,"work_id":"4ab96c19-054d-4332-80e6-b26cdbffdc18","year":1992},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.083013Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:431b30ee2a55e9c893fe7f59c4609badc5b0fc2b9458afe0a0f7a7f6be7dc585","observation_id":"d5db549a-5986-47f3-967a-50d74eb67dbe","resolution":{"observed_at":"2026-08-10T00:38:00.581691Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.563331Z","title":null,"venue":null,"work_id":"58735b06-4604-48c1-9227-f9eae83b70cd","year":1998},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.086989Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:078935e1de853812f6df6af729b73cc90b41cdd5bfa8e4cc77b13a038ca54f43","observation_id":"5c437265-4e08-43b6-9922-bdb54d5afd1d","resolution":{"observed_at":"2026-08-10T00:38:00.567706Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.546081Z","title":null,"venue":null,"work_id":"740acdda-f193-4d28-b02f-e0faba728e04","year":1998},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.091761Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:deeece81f7286cbaea6af224f3d182905751f0c70bed33327a825bf86abadc73","observation_id":"e2094402-a5a2-4337-9242-4514d6978af9","resolution":{"observed_at":"2026-08-10T00:38:00.550501Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.530054Z","title":"Giaquinta and D","venue":null,"work_id":"d14e49c1-df42-4b3a-a693-9b9966790774","year":2006},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.096288Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:5f87a059b21711803e6cefb20e496e4137a0d0ed20d35ad906b6727a5e3b55e0","observation_id":"bf2f68aa-3118-4a38-9de8-748d6e2de84b","resolution":{"observed_at":"2026-08-10T00:38:00.534791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.513414Z","title":"Giusti,Direct methods in the calculus of variations, World Scientific Publishing, River Edge, NJ, 2003.↑48","venue":null,"work_id":"75e3d5f2-6d95-4a6b-bfab-52c2a3cbceaa","year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.100845Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:18ac421017d6a5336e91a1af666f4ce0414ad241ebc9f7bc2e31a0befa0bef8d","observation_id":"7614dfe4-0a0c-44e4-89e6-200d12d442fe","resolution":{"observed_at":"2026-08-10T00:38:00.518997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.496764Z","title":"Goldstein, P","venue":null,"work_id":"6ba4d347-da0a-40c6-9eb5-80ab4d4de97c","year":2009},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.105309Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b0104009b3b86c48c9ca38cb48c484b1605a36fc920719b9c56e1bb8d01e23ee","observation_id":"fd4ef033-9e05-47c9-b3a4-0a54133aca80","resolution":{"observed_at":"2026-08-10T00:38:00.502029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.481620Z","title":"Gol’dshtein and M","venue":null,"work_id":"6477cfc6-e1a7-4b6a-b8b1-bed2feb0089a","year":2006},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.109706Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:4235ec90e2aa9a548261c9ee61a84d576b41f5a321a8c1eceef76f02e371c9d1","observation_id":"5f58c715-47ee-48d2-a753-010b95d15e49","resolution":{"observed_at":"2026-08-10T00:38:00.486275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.467417Z","title":null,"venue":null,"work_id":"3c555ca1-9d20-4c80-b0b3-83b9a773e5b6","year":2012},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.114213Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:ea5173362b62dec896143ed9d12db7a454c917bfd1ddcb20d973a68222bc9306","observation_id":"a6ce6120-9ccb-49b1-9f8c-b4ea4f96f099","resolution":{"observed_at":"2026-08-10T00:38:00.471925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.453044Z","title":"Hadwin and H","venue":null,"work_id":"4bfd7bc6-5309-4030-9ba3-f80a1c3883ee","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.118491Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:2d5d566ee691be2555b674dc26d1fc638ccdba6d7af077d77ab0a28ff44f28fb","observation_id":"852d60f4-01e5-4f90-9ff2-9b37dd9e0ee2","resolution":{"observed_at":"2026-08-10T00:38:00.457557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.438440Z","title":"Hajłasz,Approximation of Sobolev mappings, Nonlinear Anal.22 (1994), 1579–1591.↑3, 9, 11, 124, 125","venue":null,"work_id":"e2edaadb-f136-4f5c-90f6-1cc173899409","year":1994},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.123052Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:94e208914fa00a6279739de17902945ab39398aa7fdad113b307516db927f225","observation_id":"4abcb6b4-0169-4c55-bee7-12eea4591063","resolution":{"observed_at":"2026-08-10T00:38:00.443437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.424002Z","title":"Hang,Density problems forW 1,1(M, N), Comm","venue":null,"work_id":"a418c9cb-830e-407a-9138-1d2077256c66","year":2002},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.127798Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:514809c0f1abef534427e218e47b2135965cfe5ab7e599f2c23119d0f03c5503","observation_id":"5f30fa3c-62ae-4a9a-9e8a-84c21478fea3","resolution":{"observed_at":"2026-08-10T00:38:00.428964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.408604Z","title":"Hang and F.-H","venue":null,"work_id":"f1e2830e-79ca-44f4-817e-c1c9c0109837","year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.132404Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:60cf9afa1a13afe3fd1207fef21df18f96fb8b602e09c6fe628f330e4211b36f","observation_id":"14f29c01-6999-4e5a-8c6c-6a78a0f24495","resolution":{"observed_at":"2026-08-10T00:38:00.413172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.393710Z","title":"Pure Appl","venue":null,"work_id":"24c42f24-efcb-464d-96e4-a16372a45fb0","year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.136851Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:f07ef510863966e74a1cfd93b984877c117de48e7e7a6aaf26d31d32322369f8","observation_id":"ec5b9106-0852-4b8e-80b6-c287fb9c11e7","resolution":{"observed_at":"2026-08-10T00:38:00.398712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.377748Z","title":"IV, Discrete Contin","venue":null,"work_id":"9419fd2b-4227-4804-ad20-ee3ef029c23e","year":2005},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.141652Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3b6472157bcff1a0dde925864a9f481feaf457a6885924c3e01ef2160bf9f3b3","observation_id":"2c13aafb-060f-4c48-ac16-b9f0642a7a78","resolution":{"observed_at":"2026-08-10T00:38:00.382807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.363669Z","title":"Hardt, D","venue":null,"work_id":"ee6b974a-d99d-45e8-ab9b-be8b6de94c25","year":1988},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.146525Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:660a2856b3a9bd55c84725d8a739d6487ef98ab985891e23ea33f66fdf237c99","observation_id":"ba20eef7-a606-4a1a-bde9-ea607cd34dcf","resolution":{"observed_at":"2026-08-10T00:38:00.368161Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.349843Z","title":"Hardt and F.-H","venue":null,"work_id":"f9792707-1a3a-4380-b3b6-fb436366c6b4","year":1986},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.151762Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:a56387d1609ffec2c99dc971c863e3138e056009bea35d5d56c61cba48ae457a","observation_id":"51ebe2d7-8ce6-42e2-938a-4b9f112a71ea","resolution":{"observed_at":"2026-08-10T00:38:00.354017Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.336077Z","title":"Pure Appl","venue":null,"work_id":"a532efaf-32f8-4d6e-a649-857e1f0dc043","year":1987},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.156476Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b20a7ddeee2028a549413b3c7a75984e8c980b2435da38463fd07974fccbc7a6","observation_id":"60b0a596-11b9-4fd0-8cbd-f56ed7ae70e5","resolution":{"observed_at":"2026-08-10T00:38:00.340287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.322642Z","title":"Hardt and T","venue":null,"work_id":"3e1f3993-9a32-4854-91d6-98ecba1c7e82","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.161101Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b6288bef083eddc5bbea302aa425cc6220c76954b4df5811927a327d026f3507","observation_id":"7177e432-421d-4b8b-97c8-07320b9f1676","resolution":{"observed_at":"2026-08-10T00:38:00.327095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.306287Z","title":"Hatcher,Algebraic topology, Cambridge University Press, Cambridge, 2002.↑99, 126, 149","venue":null,"work_id":"bb2b7a95-a0cc-46bd-b628-51b4b7bf89dd","year":2002},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.166317Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:1d2a66570f451258d71ca8b97c0ad0ee8d458e4ae56c41dda448e4ac6e4fe478","observation_id":"c8336b07-add0-435b-966b-35ffd64aebec","resolution":{"observed_at":"2026-08-10T00:38:00.311478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.289898Z","title":null,"venue":null,"work_id":"af934575-f2e5-4222-826e-0676d125abcf","year":2023},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.170923Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:de56c232f89e9baf154cfbeeb46344b713a7ca51a0b45d109548a11ea1aa547b","observation_id":"23e791db-b2b3-4671-9cce-27665fffa45c","resolution":{"observed_at":"2026-08-10T00:38:00.295308Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.273118Z","title":"Hebey,Sobolev spaces on Riemannian manifolds, Lecture Notes in Mathematics, vol","venue":null,"work_id":"5f3b589d-b4fb-4332-b20d-254be08c3138","year":1996},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.175542Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:90ee248bb56aed17bccdf2a69e603164b8e1a742dc5fdd6443feb3d45192a7d8","observation_id":"6c7c0769-e9c6-4244-befb-d494a57ba8ae","resolution":{"observed_at":"2026-08-10T00:38:00.278998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.256976Z","title":"Hélein and J","venue":null,"work_id":"4551a68c-0294-483a-a090-523c765fb69b","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.180078Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:49f95cfca07b8e59d2658eef3f9c2b0991328bc96416373c45086b18a6f2f735","observation_id":"ccf38b8f-d330-459b-953d-d36c1e0373e2","resolution":{"observed_at":"2026-08-10T00:38:00.262574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.242238Z","title":null,"venue":null,"work_id":"43a661aa-eb98-4dbd-98be-f4ddc716119d","year":2020},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.184746Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:58769123054ca8c6d18fd0920949842fd76ec2d90b6a85a2789d367b0111cf89","observation_id":"4c71c3af-cc99-4c3c-a6c3-60925ee7689a","resolution":{"observed_at":"2026-08-10T00:38:00.246753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.228184Z","title":null,"venue":null,"work_id":"70637c5b-982f-49c5-8e2b-96db710191c2","year":2020},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.189160Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:933b73e9b99bc671148f428f0e3582156a19a9c4fcf08b3f2b064d8264c160f6","observation_id":"6168a7d2-c9f4-4d8f-8200-3423664fe66b","resolution":{"observed_at":"2026-08-10T00:38:00.232863Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.211690Z","title":"Hoffmann and Q","venue":null,"work_id":"98457ece-fc88-4c25-8b2b-bcf0b8291177","year":2001},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.193741Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b58eecb882840703b3512e0ebe9563f6a316f2e2e935353b86a07f87a4dc52b6","observation_id":"42169f31-2fe8-4149-b1ae-b8ee3153c2ab","resolution":{"observed_at":"2026-08-10T00:38:00.216675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.195325Z","title":"Hopf,Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math","venue":null,"work_id":"58259b9f-c4fb-42fe-b010-19750342240a","year":1931},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.198442Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:cc9a616599fc5b0bcedfc2ace624049038ec6ab2eda1e032d589149e724cc6f9","observation_id":"9fe4048d-6d86-42eb-8bf9-dbc67b760467","resolution":{"observed_at":"2026-08-10T00:38:00.200591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.177883Z","title":"Huang, Y","venue":null,"work_id":"1b236a3d-577f-451b-9600-29f6ca8984e8","year":2011},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.203147Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:e534bfd3f67fd1e9b891df0d07e250af91509ee4aa5495fa318d4753f95d9f3b","observation_id":"0256b77c-34ae-4e48-9621-6019fe061132","resolution":{"observed_at":"2026-08-10T00:38:00.183340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.161637Z","title":"Hubert and R","venue":null,"work_id":"d33dde9a-dad7-4ae1-8093-440ef0b924d4","year":1998},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.207715Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:efd7c966f9d2c303761410e3d1542a794c4efe3c6030c33b8e65a62b040853ff","observation_id":"21744860-5959-4105-abc8-78287a45b60b","resolution":{"observed_at":"2026-08-10T00:38:00.166733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.144224Z","title":"Isobe,Characterization of the strong closure ofC∞(B4; S2) in W 1,p(B4; S2) ( 16 5 ≤ p < 4), J","venue":null,"work_id":"3de11cc9-38fe-44fc-9351-d4e8cfd9554e","year":1995},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.212539Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b654b05fc3108c6083c08defbd24e3dae7b5b446463719d5b310b800d5f88e67","observation_id":"70592d46-5218-4749-b789-fe1ff613e9d1","resolution":{"observed_at":"2026-08-10T00:38:00.149766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.130464Z","title":"Z.252 (2006), 691–730.↑196","venue":null,"work_id":"76f91d65-9ed9-4654-beb5-efaed19fec6b","year":2006},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.217083Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:080f96f5427c07e404dac345fc72823f1565534c7a398dea8643f66bc8832165","observation_id":"51ef014b-103c-4d5b-bc7e-fbe7e645f75c","resolution":{"observed_at":"2026-08-10T00:38:00.134609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.117597Z","title":"Iwaniec, C","venue":null,"work_id":"50911dbf-89a4-40e1-a30f-71f2daf08cab","year":1998},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.220979Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3dfb41b59878bc5720c87c71f9cf2d5571ae4e96f0c6d9aa5de3d135f65fd9cc","observation_id":"6483f821-956f-4b11-8370-98051775c74e","resolution":{"observed_at":"2026-08-10T00:38:00.121573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.103490Z","title":"Jost, Riemannian geometry and geometric analysis, 6th ed., Universitext, Springer, Heidelberg, 2011.↑1","venue":null,"work_id":"b00e6dfc-caf7-423f-9941-ddd011c02aeb","year":2011},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.224775Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:e499e46845a8a2c1cbd8d12327a2d428f17a3bcff4b17fd1bdf79154e279aa4b","observation_id":"0e628644-7649-4f08-a7cd-4633ce93043a","resolution":{"observed_at":"2026-08-10T00:38:00.107788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.087840Z","title":"Lamm,Heat flow for extrinsic biharmonic maps with small initial energy, Ann","venue":null,"work_id":"35a4824f-5809-458e-ba65-33f3301362e0","year":2004},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.228484Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:818d1269a53d971db6548a10a13122c8f30ddf22efa9ec086c988ed2c11d6479","observation_id":"010e0317-881e-4e19-b55b-ab53c5d96f7f","resolution":{"observed_at":"2026-08-10T00:38:00.093036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.071964Z","title":"Lamm and C","venue":null,"work_id":"5ff2dd3a-e7cb-4f18-b827-721d4bd5c544","year":2009},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.232296Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:ea6f861a029888af9432427eba4f181656b19b03558ef59cd17c5daf85599851","observation_id":"45d936bd-2cb3-4af4-aa4a-1f77d949c0b0","resolution":{"observed_at":"2026-08-10T00:38:00.076975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.056693Z","title":null,"venue":null,"work_id":"a24f3b25-92e0-45ea-b3d2-59bbd0b3e812","year":2012},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.236769Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:83240cef507bf2501a7d5a654dbb4119fb0a58207ed3f6e2890804fd4d822392","observation_id":"1eda9181-e146-45c4-ad76-1a1ebb858eca","resolution":{"observed_at":"2026-08-10T00:38:00.061483Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.040615Z","title":null,"venue":null,"work_id":"5dd7f538-6ab7-44a4-975b-fbb4515f00b1","year":1990},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.240535Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:4bd3d96a865427f437b8d0b5419f31638ebcc23155edd09bb721decf527a6358","observation_id":"5c681061-6214-4ca4-90fe-7ab56806828b","resolution":{"observed_at":"2026-08-10T00:38:00.045814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.023043Z","title":"Lin,Mapping problems, fundamental groups and defect measures, Acta Math","venue":null,"work_id":"e8e8fba5-d8b4-4638-901e-9b5b547abb0b","year":1999},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.244475Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:abe0e82438354838ca293b4b9178920d08707919dfa94611018c0429e991eee2","observation_id":"7985a4df-0595-49a4-8053-fcf6c565d0f6","resolution":{"observed_at":"2026-08-10T00:38:00.029159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:38:00.001499Z","title":"Lin and C","venue":null,"work_id":"379bd176-5405-4c7e-ac58-e9bf206b9bad","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.248286Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:53ad6d0c3a0c3bd80784e3375aab3cc371a81bbc6055296ccff8f261f0584bd4","observation_id":"68d6f407-96d7-42fa-aeec-83dd7f1d7ee7","resolution":{"observed_at":"2026-08-10T00:38:00.007832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.986811Z","title":null,"venue":null,"work_id":"30c407e2-7578-4ea1-b23d-c1776fd974bf","year":1979},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.252103Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:62407b3496ecf8d5d6bfd33aac214d9fedb596dd4865ff92157c27ae0cea3901","observation_id":"cc7405aa-15d7-44b2-a0dd-d77fc3e70bc6","resolution":{"observed_at":"2026-08-10T00:37:59.991507Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.972549Z","title":"Montaldo and C","venue":null,"work_id":"ccc4e2d4-fa3d-4f2d-a277-531c1780f979","year":2006},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.256027Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:0242be7f6dffaba3c5ce4840e7ecea86209abee1d39630de717848ff8f611170","observation_id":"836efc63-bc7d-4593-9934-8876b23b4fde","resolution":{"observed_at":"2026-08-10T00:37:59.977062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.957565Z","title":null,"venue":null,"work_id":"d2c6e460-9545-45e8-9697-b45126c37ffd","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.260426Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:b9522ba3a5edb7dcddd5b5071381ee1b4e18e45ddee052f0eefa2a9273481258","observation_id":"9bdd48bd-4174-4fff-9d82-280725d3cc03","resolution":{"observed_at":"2026-08-10T00:37:59.962213Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.943088Z","title":"Moser, Partial regularity for harmonic maps and related problems, World Scientific Publishing, Hackensack, NJ, 2005.↑1","venue":null,"work_id":"9a762672-281d-4785-afbc-42ffd7862800","year":2005},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.264870Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:afd191e6f01a5571801751d91c72cb8d82bd8e36eb952f2c2c5daa63626b5285","observation_id":"e51bcde8-002a-4b60-876e-9ccad9023104","resolution":{"observed_at":"2026-08-10T00:37:59.947730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.928822Z","title":"Partial Differential Equations 33 (2008), 1654–1689.↑1","venue":null,"work_id":"f2e9d8e7-1be3-4e5b-b7d8-3cea2876f701","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.269495Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:05fd9c9bee7df81f683c44913cdbc8a7ffc5531d65ed7a243614df932601e396","observation_id":"ea854bf9-1b56-4472-8e6e-35249b6af5c0","resolution":{"observed_at":"2026-08-10T00:37:59.933366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.913849Z","title":"Mucci,Maps into projective spaces: liquid crystal and conformal energies, Discrete Contin","venue":null,"work_id":"9bf44a36-fb79-4ac9-8316-ab14fecfec9f","year":2012},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.274143Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:be926d1ec6b19dfb9e041423ad85300e09d0c1f162790f652dc8391f00165d6c","observation_id":"c605884d-c71c-49fa-a9eb-6db07f8b2d58","resolution":{"observed_at":"2026-08-10T00:37:59.918721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.900612Z","title":null,"venue":null,"work_id":"5a75d704-e691-4f17-94c8-07d35e1ef1e8","year":1966},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.278713Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:bec3ab5d654ddbd754dde5aa55624427b4e1b737b9a2f123bf931ec485b7836e","observation_id":"d07f2a85-3409-40f6-af00-43184939628a","resolution":{"observed_at":"2026-08-10T00:37:59.904698Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.886675Z","title":"Neff,A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit","venue":null,"work_id":"8f17f058-a127-4540-9f39-40deffb199b0","year":2004},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.283763Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:67584a5fa1e5448a1e4d96a9e7f07faf085e12038206692d0a12428767d06db1","observation_id":"59e139f6-2c0f-48dc-9484-d31547adf26a","resolution":{"observed_at":"2026-08-10T00:37:59.891398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.872809Z","title":null,"venue":null,"work_id":"82830719-5364-4921-bf79-d733b6cfee4e","year":2003},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.288781Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:af835c61db8ecf5a468af8037f9547b0f9bf27cfede42defb2b22158a6c54f10","observation_id":"9af679ae-8e4c-4e2d-9990-ddc047358aee","resolution":{"observed_at":"2026-08-10T00:37:59.877203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.858244Z","title":null,"venue":null,"work_id":"619037be-6979-4907-b075-575012702291","year":2009},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.293158Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:63b2f36f8a84ef39db8ace59655c76ff85afe73d24c1d4fbf28f5fef42a4d180","observation_id":"4bb071e5-8322-4362-92e9-0e40edb5df10","resolution":{"observed_at":"2026-08-10T00:37:59.862802Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.842843Z","title":"Rubinstein and P","venue":null,"work_id":"ed6f7049-8f3b-4b5e-bd75-e104b9c238a1","year":1996},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.297618Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:f92da98afd08b041940ecec263fa347d729df0073e2edb811875d048fb197402","observation_id":"b32f9424-7296-498d-ba74-e51db21870b2","resolution":{"observed_at":"2026-08-10T00:37:59.847612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.828409Z","title":"Sarason,Functions of vanishing mean oscillation, Trans","venue":null,"work_id":"d54d4a14-3065-4850-aeba-30b483ac44de","year":1975},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.302090Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:3951e067a2ff0b6ffe57765fbcc8a2375301811e441ee6712ee735402c04affd","observation_id":"46203292-e524-4c06-8c9f-279a47fda943","resolution":{"observed_at":"2026-08-10T00:37:59.832945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.812796Z","title":"Scheven,Dimension reduction for the singular set of biharmonic maps, Adv","venue":null,"work_id":"5461c350-f1e7-4d06-b6e8-28749e08589d","year":2008},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.306758Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:0ea9ac15049611f4551950c10c6b1b906d837f6a875ebb1077235b1781a58841","observation_id":"fd243114-fc62-45c5-9998-e254d34ccd74","resolution":{"observed_at":"2026-08-10T00:37:59.818413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T00:37:59.798062Z","title":"Schoen and K","venue":null,"work_id":"52c3731b-687a-4b96-88c3-37b77de64903","year":1983},"citing_paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-10T00:37:59.311122Z"},"links":{"citing_paper":"/paper/2501.18149"},"observation_digest":"sha256:0cb71642f64f088c819fc284ab3d100f71e0f791db0b109a56cf43bc2bc967ad","observation_id":"91c284dd-12aa-49a6-add7-4f351192230c","resolution":{"observed_at":"2026-08-10T00:37:59.802722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18149","last_updated":"2025-01-30T05:32:04Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-19T16:08:14.712001Z","submitted_at":"2025-01-30T05:32:04Z","title":"Generic topological screening and approximation of Sobolev maps"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":3,"verified_fuzzy":51},"total_outbound_references":109},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 100 of 109 outbound references and 1 inbound Pith citation observation for arXiv:2501.18149."}