{"as_of":"2026-08-11T14:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:50ab3d3cde80d61efc4820b864806e24ed30446c0a100180a91c7fd64563afb9","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T06:06:45.258408Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2607.11236/citation-record","integrity":"/paper/2607.11236/integrity","json":"/paper/2607.11236/citation-record.json","paper":"/paper/2607.11236"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1207.5271","last_updated":"2014-11-05T15:43:46Z","snapshot_observed_at":"2026-08-10T17:12:27.571374Z","submitted_at":"2012-07-23T00:48:46Z","title":"Formation of Trapped Surfaces from Past Null Infinity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.5271","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"An,Formation of trapped surfaces from past null infinity, arXiv:1207.5271","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/1207.5271","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:5068da5eaae959475f9ca63fb2613942a5b903683f0143bd619571520d21e42d","observation_id":"71f97f53-660c-4bd4-858e-d1e1bd8a07f3","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"An,A scale-critical trapped surface formation criterion: a new proof via signature for decay rates,Ann","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:2a1134b5624d20d0dedd3d19063be6c20917d8c115ed2f35f1721a0c83f95d3d","observation_id":"791cab8f-6220-42e4-87a7-626128f11f19","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.12524","last_updated":"2021-05-05T03:03:15Z","snapshot_observed_at":"2026-08-10T15:22:37.333396Z","submitted_at":"2020-10-23T16:46:46Z","title":"Anisotropic Dynamical Horizons Arising in Gravitational Collapse","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.12524","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"An and Q","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/2010.12524","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:6f703f4273451a34481e389445e211ec0837662ff4bc9697bf5e647a00ffa686","observation_id":"871c040a-6b0c-4488-b6c7-515b7031084b","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"An and J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:3865beeff31a2f209fde6e44d693806bc14cc49b0bfe6e59a61a757ac546013a","observation_id":"f0d120cd-c94a-4a76-970c-e03046c1efe9","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Bieri and P","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:d1a429900c9394caeb690e10502cf99f67c20c9c80f75c61ffedd8aa79bcc12a","observation_id":"b129f4df-b4f7-4e92-b0b7-29be5aeb9b88","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Chen,Gauge scalars for the Einstein constraint equations, in preparation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:379e29204e4c0062ba4efb0f1852bc4e3f2ebc4525d3467962a070982ce95718","observation_id":"092dfb78-0e80-46d6-a2d0-d2ef3213a3d5","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Chen and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:fb0572c50e5fd83b787598c797f990a2bb92844495bf9423e9a74485db518665","observation_id":"ea4c39e2-85dd-4126-bdd1-4b73be62ab6a","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Chen and S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:04e9e428c04b61b9387142c7a47f56472328d7bf2c91e36130c7118ed4e04a56","observation_id":"b3950eea-d3d6-47cd-beff-60706f139c61","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.08716","last_updated":"2026-06-07T16:15:31Z","snapshot_observed_at":"2026-08-07T06:55:21.147090Z","submitted_at":"2026-06-07T16:15:31Z","title":"Forward Construction of Vacuum Initial Data with Borderline Decay","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.08716","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"Chen and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/2606.08716","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:75d8006bab1e4a4d34ca2bc7c1b3a36fd481f736447e2d9dda858adb4fe7bdbc","observation_id":"18a732e7-2dcf-4010-96d8-26886b798706","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Christodoulou,The formation of Black Holes in General Relativity, EMS Monographs in Mathematics, 2009","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:c31c431ff46c338305e88408f54b9e04ca88d597d52c5a53ae7ac9ed37534275","observation_id":"021a2f18-e973-4a2d-b8b0-ad4a14c12774","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Christodoulou and S","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:1e98d0c895c6093b1a67e9c9fc17e1b590efda9d948623d290e759c2890f1459","observation_id":"01a91eb9-90a7-42b9-a71a-995be292dcca","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:80ea48f8f35e5251d24a610a1deeea7b841150e10b0e5e43c53255797ced8e06","observation_id":"e15338d7-0443-45b4-af46-05577d2fbf34","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Corvino,Scalar curvature deformation and a gluing construction for the Einstein constraint equations,Comm","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:d786680219d92da2c68cad219f1004774072c27055afd5037e7d723e1a169ffa","observation_id":"47065cd9-2f4b-46ef-afc7-6175866b0f46","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Corvino and R","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:c1e6922962062740158b734ed1fa2d991def3197d9a8c17fb81798d5b5d298ef","observation_id":"d5a23559-9082-4761-87a2-0d489ad9ba53","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Giorgi, D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:c271f2493b411d434685e6f5a94f356d4682ebd2aec8b5d03e44c7a7c11a65f3","observation_id":"795c4136-2da9-4efc-9a6e-c3aee8090339","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Klainerman, J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:ed847d78360a46d6541c56b3958b68741450e9b6363ffc3b323c3b4b26c6f7c0","observation_id":"2732e82c-537e-4083-82c1-401229f2321d","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Klainerman and I","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:9ab52791e24b51b6cc2a958c807c3117129da556b244914c436fc1fa1cb92fc2","observation_id":"dd7532b2-2690-4a74-94a5-dee4388a2b63","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Klainerman and I","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:d97746f952f6b192f60ffc3a50bcb52b8e76949b6571d6e99dd9a135e27f570c","observation_id":"3829fef5-3efa-4b28-98b8-dd8a895c45fd","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Li and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:26f8cefd09501d4f0638bc7249a96827efd188e4e7f77e565de8f938cfb6b3a3","observation_id":"0387d1d9-c8ed-4ad2-a772-d2d72512c61e","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Li and P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:10f25d76b04c134c298665631f0a2f6b4ff36e4fac6dd1f7e1ebb87333555adf","observation_id":"bb129814-efae-471e-b910-ebd56e24e3de","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Luk and I","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:3a8e0682f9c3773f01d7257c2ad1b6b3012b6d9359d65a2edd1675a64062430b","observation_id":"5c54d2e0-a3aa-48f7-91d0-33f532cb052f","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Luk and I","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:645418acad7865ca3d60b943247ccc03561afaa1ae9b9409e038cb028c1f8ecb","observation_id":"9c2f0371-9df4-4456-afad-a2d2072b4bc1","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.13031","last_updated":"2023-08-24T18:57:45Z","snapshot_observed_at":"2026-07-06T16:10:11.901106Z","submitted_at":"2023-08-24T18:57:45Z","title":"Initial data gluing in the asymptotically flat regime via solution operators with prescribed support properties","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.13031","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"Mao, S.-J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/2308.13031","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:4313aac23d3be977fde6f6c2b58bed0f4c0972665022a1b56e2370a4dcce8aef","observation_id":"85e1d061-2ecc-4cec-9a8d-a5be4b083a0d","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.07483","last_updated":"2023-10-11T13:27:57Z","snapshot_observed_at":"2026-08-10T17:31:18.728482Z","submitted_at":"2023-10-11T13:27:57Z","title":"Global stability of Minkowski spacetime with minimal decay","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.07483","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"Shen,Stability of the Minkowski space with minimal decay, arXiv:2310.07483","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/2310.07483","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:6ca1ca7dd290e7b6c2d327a349835607c1e4f665713cfc68ce727e4af06fe48b","observation_id":"91f99744-da9e-4f10-8bbf-1e70cc382c4a","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Shen, Exterior stability of Minkowski spacetime with borderline decay,Ann","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:5f5c00cc4ded1d9ee727966950c876eee8fd75831dff2464b0e2bf8636782977","observation_id":"6c16dbac-c835-44fc-a602-491c0d4e371b","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16117","last_updated":"2025-06-19T08:09:38Z","snapshot_observed_at":"2026-08-06T23:41:57.401643Z","submitted_at":"2025-06-19T08:09:38Z","title":"Formation of multiple Black Holes from Cauchy data","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.16117","snapshot_observed_at":"2026-07-14T06:06:45.258408Z","title":"Shen and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"cited_paper":"/paper/2506.16117","citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:bbdcb9039360e3f136c5671bbc24047e85255c60703ef449b3744103c7cd1fc0","observation_id":"cb353e5a-7f7d-4ab3-8f35-42773621fe84","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","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":"2026-07-14T06:06:45.258408Z","title":"Shen and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-14T06:06:45.258408Z"},"links":{"citing_paper":"/paper/2607.11236"},"observation_digest":"sha256:bb6b93155cfd98317679758f19c3237e23e5119a5948f85cb40f6afa66408d8c","observation_id":"eafdcb1a-6f8b-4fe5-b5f7-02a2497eaa67","resolution":{"observed_at":"2026-07-14T06:06:45.258408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.11236","last_updated":"2026-07-13T08:22:34Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-08T03:15:57.116561Z","submitted_at":"2026-07-13T08:22:34Z","title":"Formation of Trapped Surfaces from Spacelike Initial Data"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":27},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.11236."}