{"as_of":"2026-08-13T08:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd71db16f731105d83781694d8ed856b944ddedd70dce8ad1b9e9a5aa020a346","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":"2026-08-12T21:02:14.462836Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-10T22:44:14.093614Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T22:44:14.219689Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"cited_work":{"arxiv_id":"2411.09290","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.09290","snapshot_observed_at":"2026-08-10T22:44:14.219689Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","venue":"math.DG","work_id":"5c866cb3-2e47-4a9b-8af8-b84746ac2cde","year":2024},"citing_paper":{"arxiv_id":"2501.01252","last_updated":"2025-01-02T13:42:40Z","snapshot_observed_at":"2026-08-11T13:25:38.111538Z","submitted_at":"2025-01-02T13:42:40Z","title":"Gap phenomenon for scalar curvature","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:44:14.093614Z"},"links":{"cited_paper":"/paper/2411.09290","citing_paper":"/paper/2501.01252"},"observation_digest":"sha256:3e1cb6dd6253813f92a9397d8eb8e2c34c5b8774415cf9e160176de900f5aef4","observation_id":"e04bbc0b-b4fc-4605-8e56-1d206de73931","resolution":{"observed_at":"2026-08-10T22:44:14.224842Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.09290/citation-record","integrity":"/paper/2411.09290/integrity","json":"/paper/2411.09290/citation-record.json","paper":"/paper/2411.09290"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.716640Z","title":"Scalar curvature rigid ity for asymptotically locally hyper- bolic manifolds","venue":null,"work_id":"25774239-ac98-4baa-a4fb-659819505025","year":1998},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.408356Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:8a45c9bcd5ca4c8efd2b069338c80190c28d8ce999e2c2f973a8f37a3b01b0c9","observation_id":"3b6987c6-a7ef-478b-8325-07237dcd348a","resolution":{"observed_at":"2026-08-12T21:02:14.719806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.708040Z","title":"Boundary value problems for elliptic differential operators of first order","venue":null,"work_id":"4646d2da-22ad-4c72-b0e3-99855a35ce8c","year":2012},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.412479Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:ee07db9d5225c170fa74be0a401aa19f3a32e520b11cbcff5e7bda3788c66b46","observation_id":"8e68b641-f4f3-466d-9643-bb55dc5fbb2d","resolution":{"observed_at":"2026-08-12T21:02:14.711341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.699502Z","title":"Scalar curvature rigidity of warped product metrics","venue":null,"work_id":"87f79f47-60df-44a4-928c-029ab7d3c9c7","year":2024},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.415597Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:ff76cce49dea8dac4db985f556c6a900d79eea2c5c530db591db89b7b0272d54","observation_id":"3f514abb-248d-4567-9594-c7d0e3d4f7f8","resolution":{"observed_at":"2026-08-12T21:02:14.702561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.691170Z","title":"Total curvatur es of convex hypersurfaces in hy- perbolic space","venue":null,"work_id":"8f5d34c5-c8cf-45fb-baad-df667278e7d1","year":1999},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.418705Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:60d3a2bfdb87856266968632ec469edf45b99fa5998b2a086c94b91d613ee65b","observation_id":"8692ed31-f570-4042-ba6a-5ea8cfce825a","resolution":{"observed_at":"2026-08-12T21:02:14.694194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.682456Z","title":"Scalar curvature rigidity of convex poly topes","venue":null,"work_id":"0d663b7b-e784-4ff2-b0c1-09a467b93641","year":2024},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.421839Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:193f18db0240962a1c3b9dff82dc1eb10915c3f5f0da88b93f9578d73fdf31e7","observation_id":"9cf2c4c9-1c45-4b72-a107-00b169e61abb","resolution":{"observed_at":"2026-08-12T21:02:14.685643Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.424851Z","title":"Rigid ity of spin fill-ins with non-negative scalar curvature","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.424851Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:2ac5afc5ff336fd76d4359672be180db8a2911960052415ab5ff9712be25bf9d","observation_id":"89441e01-2cfa-48d5-a3e7-42a21981af3f","resolution":{"observed_at":"2026-08-12T21:02:14.424851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.16022","last_updated":"2024-11-15T14:28:00Z","snapshot_observed_at":"2026-07-06T17:08:08.775293Z","submitted_at":"2023-12-26T12:23:52Z","title":"Scalar curvature rigidity of parabolic convex polytopes in hyperbolic space","version":2},"cited_work":{"arxiv_id":"2312.16022","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.16022","snapshot_observed_at":"2026-08-12T21:02:14.560508Z","title":"Scalar curvature rigidity of parabolic convex polytopes in hyperbolic space","venue":"math.DG","work_id":"6ddda1d8-3cb8-404b-8835-302d466ad07e","year":2023},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.428046Z"},"links":{"cited_paper":"/paper/2312.16022","citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:a6f2a74ec19fa68cba6b5ca3612bbdacd42459890f2006a26d0fd3dc63f79757","observation_id":"3535074e-aaff-42b2-985e-8749aad8e319","resolution":{"observed_at":"2026-08-12T21:02:14.565605Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.10212","last_updated":"2024-07-14T14:12:39Z","snapshot_observed_at":"2026-08-12T23:22:32.108988Z","submitted_at":"2024-07-14T14:12:39Z","title":"Scalar curvature rigidity of domains in a warped product","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.10212","snapshot_observed_at":"2026-08-12T21:02:14.431163Z","title":"Scalar curvature rigidi ty of domains in a warped product","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.431163Z"},"links":{"cited_paper":"/paper/2407.10212","citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:36f87d5d90952adf2649b85db5a9e9c19e6258f15278f88c009a1cdc450a6ca9","observation_id":"e626709d-cbe9-4cb1-bead-a294f8860902","resolution":{"observed_at":"2026-08-12T21:02:14.431163Z","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":"2026-08-12T21:02:14.674845Z","title":"Goette and U","venue":null,"work_id":"01fff22d-a6c6-478a-8e4f-a217b2588e5f","year":2002},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.434335Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:502be8fe32f51c2b7b87ed6eaeaf067abba859e7ff65f7cd4df500bcdca964e1","observation_id":"c98ccd5c-f3aa-4a5f-a231-40685be126c5","resolution":{"observed_at":"2026-08-12T21:02:14.677543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.04311","last_updated":"2019-02-10T11:13:35Z","snapshot_observed_at":"2026-07-06T07:13:54.292383Z","submitted_at":"2018-11-10T20:38:18Z","title":"Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.04311","snapshot_observed_at":"2026-08-12T21:02:14.437148Z","title":"Scalar curvature of manifolds with bound aries: natural questions and artificial constructions","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.437148Z"},"links":{"cited_paper":"/paper/1811.04311","citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:2fbb19f0afe31d0451a1b64c2325dddb2da3c9dd45fde210c8fa2b334c0edd0f","observation_id":"4fa3126a-606d-48a1-8792-45ebbb8f3dda","resolution":{"observed_at":"2026-08-12T21:02:14.437148Z","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":"2026-08-12T21:02:14.666890Z","title":"Blaine Lawson and Marie-Louise Michelsohn","venue":null,"work_id":"b757a09f-1bd4-4b78-96ed-bc0c72963c93","year":1989},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.440315Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:390a6a87bef8e1d683e45bb6e6d8fb497f739465ad4f9ce20ac14a11ced15cb5","observation_id":"920dab38-2b13-4823-9aff-90e2c76839fe","resolution":{"observed_at":"2026-08-12T21:02:14.669818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.658202Z","title":"Dihedral rigidity of parabolic polyhedrons in hyperbolic spaces","venue":null,"work_id":"9a08d330-5bad-4d05-af64-cd51b17a1d84","year":2020},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.443196Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:01c9a84fae80ba917454b2b931239c3a962d6fc54d52141122ce3eb7f851abcb","observation_id":"80c69a77-4c82-4b18-bcd7-b25c2119ad8f","resolution":{"observed_at":"2026-08-12T21:02:14.661305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.649174Z","title":"The dihedral rigidity conjecture for n-prisms","venue":null,"work_id":"cbbe0a00-bfe6-462d-9453-c2684d17a6c5","year":2024},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.445952Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:b7a85c4feaa569748fe1e457b2dddd9022364c648df5d8bae1bbf3a90ed5cde0","observation_id":"a4270c06-44ce-4a12-a96b-8aa1a0cd5724","resolution":{"observed_at":"2026-08-12T21:02:14.652464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.640306Z","title":"Scalar curvature and hammocks","venue":null,"work_id":"ab351186-35a0-4e63-8406-35f0299256c8","year":1999},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.448700Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:728ca6c95e33c6ace0a1b3f633a4d1412c0682cc99582bec3143d9a6f76021aa","observation_id":"6a78decb-dbfd-4e84-9e65-722b1fe78ccf","resolution":{"observed_at":"2026-08-12T21:02:14.643441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.631610Z","title":"Index theory for scalar curvature on manifol ds with boundary","venue":null,"work_id":"a17f3358-2276-4252-b127-05f554c49ba9","year":2021},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.451423Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:93327743d19d64c74f3a9fcc0f00cd51150e08591d3e32aa9f72403d1f6fd766","observation_id":"0503957a-607c-475e-a7df-7f82a5c489f4","resolution":{"observed_at":"2026-08-12T21:02:14.634753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.622933Z","title":"Scalar curvature rigidity of asymptotic ally hyperbolic spin manifolds","venue":null,"work_id":"01691510-bd60-49f3-8c6e-6eb90d999031","year":1989},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.454231Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:0254c5124c8ad8c179b5efffc863255a2dee03c89b8017b1d7dbd2c19c9f7012","observation_id":"cf814ba3-e8b8-4e93-8ab6-23246522c567","resolution":{"observed_at":"2026-08-12T21:02:14.626035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T21:02:14.457047Z","title":"Dihedral rigidity for sub manifolds of warped product mani- folds","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.457047Z"},"links":{"citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:3008754d5f46d74b3d484b297e2282b259a27dacfa70f5910b4a1652c99d2c4d","observation_id":"c1858a1e-01d5-4006-9897-b34f1c43269f","resolution":{"observed_at":"2026-08-12T21:02:14.457047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.05413","last_updated":"2023-12-18T17:33:20Z","snapshot_observed_at":"2026-08-12T12:24:40.423038Z","submitted_at":"2023-06-08T17:57:11Z","title":"Scalar curvature rigidity of degenerate warped product spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.05413","snapshot_observed_at":"2026-08-12T21:02:14.459687Z","title":"Scalar curvature rigidit y of degenerate warped product spaces","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.459687Z"},"links":{"cited_paper":"/paper/2306.05413","citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:6bb93f99f9a916165eb8f59feaab11208559de7d11f958e13c9368e8bb59f235","observation_id":"f0a5be80-8c9e-4e77-9eb5-2ab7e4914f80","resolution":{"observed_at":"2026-08-12T21:02:14.459687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01510","last_updated":"2023-03-08T18:44:19Z","snapshot_observed_at":"2026-08-12T09:35:15.831997Z","submitted_at":"2021-12-02T18:57:49Z","title":"On Gromov's dihedral extremality and rigidity conjectures","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01510","snapshot_observed_at":"2026-08-12T21:02:14.462836Z","title":"On gromov’s dihedral extremality and rigidity conjectures","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T21:02:14.462836Z"},"links":{"cited_paper":"/paper/2112.01510","citing_paper":"/paper/2411.09290"},"observation_digest":"sha256:865a8f49be1958ddb21cf716e4dbda98224623665d8c383a3552a14c580d98fb","observation_id":"9e49c8ee-4dab-417c-a663-d53afbaa69d7","resolution":{"observed_at":"2026-08-12T21:02:14.462836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.09290","last_updated":"2025-04-17T06:51:17Z","latest_version":3,"primary_category":"math.DG","snapshot_observed_at":"2026-08-12T20:46:30.295628Z","submitted_at":"2024-11-14T09:07:05Z","title":"Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":12},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2411.09290."}