{"as_of":"2026-08-09T21:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:befac3380ea7c0daf58d8dc9f11761aef12b8865a35346506a09ba5e62fd9720","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T10:16:20.305623Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2607.05002/citation-record","integrity":"/paper/2607.05002/integrity","json":"/paper/2607.05002/citation-record.json","paper":"/paper/2607.05002"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Agmon, A","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:69fc1ed1d02e55a95c4560479194c721c5baf6ccf8c52974b58c38110f2aa9a1","observation_id":"d6c99a00-dbd6-45ed-82ab-29ade272d317","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.17577","last_updated":"2024-05-27T18:20:24Z","snapshot_observed_at":"2026-08-05T23:58:13.839707Z","submitted_at":"2024-05-27T18:20:24Z","title":"Local structure theory of Einstein manifolds with boundary","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.17577","snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"An and L.-H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"cited_paper":"/paper/2405.17577","citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:cdc8afeb337a9dab39b6ceccdcacde7061e1e5215413905cbbcfc9d779eb22d1","observation_id":"6902f27c-0b2d-4ecf-86bb-d63128c8c001","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Akutagawa, An Obata-type theorem on compact Einstein manifolds with boundary, Geom.\\ Dedicata 213 (2021), 577--587","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:a3360db630b787caabc65235e6a6c37bd0c134f411b80e2f0314136614b573ca","observation_id":"a173e1a3-de58-47b5-9db1-5a02bd5ee68d","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Allen, Euclidean Schwarzschild negative mode, Phys.\\ Rev.\\ D 30 (1984) 1153--1157","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:527370a0b1781bee5b5aaa05a76434b605d273f26c02767322e643fe3310a834","observation_id":"8283acb2-92fa-41f0-b9cb-bc16ecb89be8","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0612646","last_updated":"2006-12-21T15:03:27Z","snapshot_observed_at":"2026-07-07T06:03:07.131447Z","submitted_at":"2006-12-21T15:03:27Z","title":"Isomorphisms of algebras of Colombeau generalized functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0612646","snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"cited_paper":"/paper/math/0612646","citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:8d608559067619925c992e988b5133913edcfed2869672924ab247e87dbacc47","observation_id":"d48e96fc-ba2f-46c3-acf6-de2e7fa2a781","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0704.3373","last_updated":"2013-05-08T16:38:14Z","snapshot_observed_at":"2026-07-06T01:26:36.487137Z","submitted_at":"2007-04-25T13:46:48Z","title":"Extension of symmetries on Einstein manifolds with boundary","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.3373","snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"cited_paper":"/paper/0704.3373","citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:7bc559e20b71abf6312b8b53887c7941bc946f9715f9b0a8c037016f58ad0643","observation_id":"3634470c-765a-4b14-82ca-b3f4b6d92e0b","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:edce763530649e24b4c701f02bd1f77bd57918280f47c77fa32c7fd3915030e1","observation_id":"fdfe3182-b717-4869-aa3c-d896e78adbf1","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:a11e55fae7acc79d6c50e54f185b80421353780b8b5de11c073c9191994fca01","observation_id":"b7c99f29-b0e7-44d8-a35a-0abba5d9f914","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:2dbfc8c0523745b336c7094be445fe4a95a10d0eed61f0d9a4f7e761fd6de571","observation_id":"82e1ab6a-eccb-4344-acb8-baf97fd51193","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Fu cík, J","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:fd42804e39cd29c83c8ea338159401cc848e7d52229b51eb9c125876d801f4b4","observation_id":"f8c0eeee-136a-426b-a807-01a389799378","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Gianniotis, The Ricci flow on manifolds with boundary, J.\\ Differential Geom.\\ 104 (2016), 291--324","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:3b3e1728d38431c3912ce7ea093ef1f3cce982641a6c3105dcf5c985d4ef361e","observation_id":"fbb7a96b-bc52-456a-ad7c-8f98539d304d","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:93ee788e27a0961127f6ff283c8dff9c1d5625da1f8e9f3ab8ead89f63a4e373","observation_id":"c04b47e8-8fe4-4ae2-a718-9625fd933e56","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Jouttijärvi (2024) Novel Boundary Conditions for the Ricci Flow, The Journal of Geometric Analysis (2025) 35:360","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:677df6346fae363e3b3c8ab78c251d73d87abc1a11a5d98267d27c9ef8fd4d52","observation_id":"aca8f18f-5816-460e-999d-a64f9d2e86f9","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Kodama and A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:cfdbe2a914b5a0d8d079f6f4e9b88e3cdbb504a7ebf30db1621353537d00a47f","observation_id":"c8c4ede3-7d0d-4314-9b6b-5e3bd95bf85f","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Koiso, A decomposition of the space of Riemannian metrics on a manifold, Osaka J.\\ Math.\\ 16 (1979), 423--429","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:5d1d1b4ff62c45738d17294494ec15bfb5f407ffb293ca80890b256feb39ac44","observation_id":"4a63e3ce-55d2-4021-a978-f6b6328f1034","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:d259fbadf64a56d6661e9349a58b4a8c48a1b274f6f3cfe1928cbf27ba08949f","observation_id":"d1ee7d1d-57c7-4c5a-a216-ba5b79a42347","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J.\\ Math.\\ Soc.\\ Japan 14 (1962) 333--340","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:c3ff2170fe3f5ba1b542eb3fa42eaff627bf4f1b3e11b3e6bb68113e14cc8685","observation_id":"92426181-f661-415c-9db2-b071367b320d","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Prestidge, Dynamics of higher-dimensional black holes, Class","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:4441b68026cf9bd09dddc71ef6837a27fb971951af4630ce5e9d8ad19ea3bb77","observation_id":"188caf0b-c494-4c68-ba2d-db4fcd8a1055","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T10:16:20.305623Z","title":"Tashiro, Complete Riemannian manifolds and some vector fields, Trans.\\ Amer.\\ Math.\\ Soc.\\ 117 (1965), 251--275","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-11T10:16:20.305623Z"},"links":{"citing_paper":"/paper/2607.05002"},"observation_digest":"sha256:c7ba36ffd854bbad3bddf33e5d6b6070c13cd5e8bb232bd3a7434b34fe5346e2","observation_id":"b43cb6c9-ef87-47c0-890e-0aea4b696ced","resolution":{"observed_at":"2026-07-11T10:16:20.305623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.05002","last_updated":"2026-07-06T12:41:32Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-07T11:27:54.157056Z","submitted_at":"2026-07-06T12:41:32Z","title":"On the Stability of Einstein Manifolds with Boundary"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":19},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.05002."}