{"as_of":"2026-08-08T02:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5e3f500c14f36fba7ac8ab9fe7af018ba0edd0b78abe0dc2f4da88fb6371cf69","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T02:03:27.744123Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.21336/citation-record","integrity":"/paper/2607.21336/integrity","json":"/paper/2607.21336/citation-record.json","paper":"/paper/2607.21336"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:03:27.678262Z","title":"Calabi,Minimal immersions of surfaces in Euclidean spheres, J","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.678262Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:18400d3750db9906ff8ba072782156e8deb12ed043a44f4a7e56962e79a32bdd","observation_id":"59331f4f-00ff-4cff-b33c-a9fc26d7d50d","resolution":{"observed_at":"2026-08-03T02:03:27.678262Z","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":"2026-08-03T02:03:27.682287Z","title":"do Carmo and N","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.682287Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:1d1ef5ac2c729c2cc09ba35b85d69c15d7c8a10704058d62d1cf56a4dd88e0f8","observation_id":"6e01cf2f-e21b-4d65-8de1-02f7b2a326ba","resolution":{"observed_at":"2026-08-03T02:03:27.682287Z","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":"2026-08-03T02:03:27.685605Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.685605Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:dca65b3003af1c7efff60a3939cf68392ed1ab5448b3610e439d945f93481ab0","observation_id":"d9fac2e6-d538-4805-b54f-94f71a5aefd6","resolution":{"observed_at":"2026-08-03T02:03:27.685605Z","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":"2026-08-03T02:03:27.689232Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.689232Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:95b17a5aad4746d9cc347474e05dff3fa2d210d8c01619cddb4a696fa81074f2","observation_id":"4dd6ebbb-d6ab-47ba-a731-e9222c9b2675","resolution":{"observed_at":"2026-08-03T02:03:27.689232Z","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":"2026-08-03T02:03:27.692683Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.692683Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:8816193b6e604aba1d632f74fc9019ad18536a0dc642b21c9f7fbaf0423d43b7","observation_id":"dd720f5d-b998-47fd-a479-3b6a155a98cc","resolution":{"observed_at":"2026-08-03T02:03:27.692683Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.06588","last_updated":"2026-07-09T04:42:05Z","snapshot_observed_at":"2026-08-06T06:51:06.520526Z","submitted_at":"2026-07-05T18:50:19Z","title":"Closed Minimal Hypersurfaces in $\\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.06588","snapshot_observed_at":"2026-08-03T02:03:27.695555Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.695555Z"},"links":{"cited_paper":"/paper/2607.06588","citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:303af5ed1fb8b8dca09eecdc4252bbd48d3bd7d6631394942d91c727d615b819","observation_id":"26ea81bd-c185-48d2-afbd-ad1481a6fe6d","resolution":{"observed_at":"2026-08-03T02:03:27.695555Z","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":"2026-08-03T02:03:27.699907Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.699907Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:5998c57d3c0d759a624225f4742bbbdf80e2ce3614d08af0bb324a461cdabf34","observation_id":"5181f359-cc25-4527-931d-aaddab98d594","resolution":{"observed_at":"2026-08-03T02:03:27.699907Z","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":"2026-08-03T02:03:27.702715Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.702715Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:7e056483c449550cf90823a01e775da185596e3258e810ef4c2978b3aeec5dd8","observation_id":"3c03bfd2-2487-4abd-a33e-ccde084cf857","resolution":{"observed_at":"2026-08-03T02:03:27.702715Z","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":"2026-08-03T02:03:27.705261Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.705261Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:f816586230e7d2e199e0029b765e1b5fbc514e23d80efb9ed76a1b3a45272dd6","observation_id":"f51a0c9b-2f13-497d-b601-f640d3804e04","resolution":{"observed_at":"2026-08-03T02:03:27.705261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.10733","last_updated":"2026-07-12T12:34:23Z","snapshot_observed_at":"2026-08-06T06:33:54.845045Z","submitted_at":"2026-07-12T12:34:23Z","title":"On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.10733","snapshot_observed_at":"2026-08-03T02:03:27.707748Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.707748Z"},"links":{"cited_paper":"/paper/2607.10733","citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:8529fdd34efde7041b68934274a89c736e46896c6dc6ccaa6080d1a897bc968a","observation_id":"37f57c3c-e1af-485a-9acf-0ebc1f1972ae","resolution":{"observed_at":"2026-08-03T02:03:27.707748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.29246","last_updated":"2026-06-28T07:29:18Z","snapshot_observed_at":"2026-07-07T00:03:12.330608Z","submitted_at":"2026-06-28T07:29:18Z","title":"Rigidity of Closed Minimal Hypersurfaces in $\\mathbb{S}^5$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.29246","snapshot_observed_at":"2026-08-03T02:03:27.710837Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.710837Z"},"links":{"cited_paper":"/paper/2606.29246","citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:d670ce7707f91cff419f7e900da269f794f3d8a48a218aadd8ef3491ade3c158","observation_id":"bd43de09-b894-4318-8dfa-ec71c25444b4","resolution":{"observed_at":"2026-08-03T02:03:27.710837Z","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":"2026-08-03T02:03:27.713968Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.713968Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:c4c871093751dca72f0332378bf0d981fa454f0947ac7e5c8c7a419b41d2fdca","observation_id":"e3ad7623-e908-4c36-976a-a030599ca271","resolution":{"observed_at":"2026-08-03T02:03:27.713968Z","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":"2026-08-03T02:03:27.716754Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.716754Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:870cc126197c108285384dd1fe717395ca31dbb356e2e951e745aac1d559cd95","observation_id":"df61ffd7-4393-4e60-ab7a-0003a8d76bb1","resolution":{"observed_at":"2026-08-03T02:03:27.716754Z","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":"2026-08-03T02:03:27.719348Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.719348Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:a85c7ef44a277767c084093d268243da5615950941ada7fa45a99a32be038b82","observation_id":"5349882b-8e8e-41bf-b82a-eb6729488dc1","resolution":{"observed_at":"2026-08-03T02:03:27.719348Z","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":"2026-08-03T02:03:27.722235Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.722235Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:7d6ca751abe53a71742a94b8be577e69fe24c5b678399fb7a3a0d21883cd9f63","observation_id":"55d709d4-c572-4d8a-be29-53afe6dc6517","resolution":{"observed_at":"2026-08-03T02:03:27.722235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.30432","last_updated":"2026-06-29T15:11:01Z","snapshot_observed_at":"2026-07-07T00:04:15.048683Z","submitted_at":"2026-06-29T15:11:01Z","title":"Flat minimal tori and Lu's second-gap conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.30432","snapshot_observed_at":"2026-08-03T02:03:27.725191Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.725191Z"},"links":{"cited_paper":"/paper/2606.30432","citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:cb74751b84019b67661dc26db35f374aa60535bee523ce8f5d2bda76318f14b8","observation_id":"78d9ae01-5bde-47aa-b52f-6856caa69065","resolution":{"observed_at":"2026-08-03T02:03:27.725191Z","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":"2026-08-03T02:03:27.728169Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.728169Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:b9c47a74a3102d57e42df522d19958956961ac7eaab2f2139545c419f6d612ff","observation_id":"619a9589-4575-49f7-8230-c13a5df9c933","resolution":{"observed_at":"2026-08-03T02:03:27.728169Z","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":"2026-08-03T02:03:27.730682Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.730682Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:d40d42462518268ccb8f45db7ccf28e19233f912c78a0565403514413383d20e","observation_id":"e689b08c-d559-416f-a8c6-c4d09731b8c4","resolution":{"observed_at":"2026-08-03T02:03:27.730682Z","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":"2026-08-03T02:03:27.733299Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.733299Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:36a9fa562e8b95bf3662a0853d6bdef10f8d88d4f07d137bb5ffdfad808da72c","observation_id":"6c8734a6-d0a7-4514-83d3-7e61b43d098a","resolution":{"observed_at":"2026-08-03T02:03:27.733299Z","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":"2026-08-03T02:03:27.736159Z","title":"Simons,Minimal varieties in Riemannian manifolds, Ann","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.736159Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:85506570e539fac5bca4f9214e187d5101860681189b60d0f562b910b8269cc0","observation_id":"90f9ffc7-5000-40dd-83f9-023d869cebac","resolution":{"observed_at":"2026-08-03T02:03:27.736159Z","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":"2026-08-03T02:03:27.739126Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.739126Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:1c5997e086ea86a369246d7aec5d7f354d8f45335b025a61b0f95615c2347a90","observation_id":"4a01ed22-83af-44f2-8160-fd8f49b24b28","resolution":{"observed_at":"2026-08-03T02:03:27.739126Z","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":"2026-08-03T02:03:27.741770Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.741770Z"},"links":{"citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:2262f900cb12a1abd10966bcb800e452ede224f2e6ec356536d4430811fb50f1","observation_id":"452fb23d-8d25-4ffd-884d-fced09b1b148","resolution":{"observed_at":"2026-08-03T02:03:27.741770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.19495","last_updated":"2026-07-30T05:31:45Z","snapshot_observed_at":"2026-08-02T23:17:11.535495Z","submitted_at":"2026-05-19T07:49:34Z","title":"Minimal Hypersurfaces with constant scalar curvature in $\\mathbf{S}^6$","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.19495","snapshot_observed_at":"2026-08-03T02:03:27.744123Z","title":"Tao,Minimal hypersurfaces with constant scalar curvature in S6, preprint, arXiv:2605.19495, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T02:03:27.744123Z"},"links":{"cited_paper":"/paper/2605.19495","citing_paper":"/paper/2607.21336"},"observation_digest":"sha256:1b970563dd995eaba3d4da0b312a473e0d80ebbfc3a6273d2a947593ee1651e5","observation_id":"0a11da12-9256-4f7b-a6fd-c8628c2dd607","resolution":{"observed_at":"2026-08-03T02:03:27.744123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21336","last_updated":"2026-07-31T02:34:57Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-08T01:37:56.350090Z","submitted_at":"2026-07-23T14:05:10Z","title":"Lu's conjecture for minimal surfaces in codimension two"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":23},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.21336."}