{"as_of":"2026-08-11T06:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5fdb2c90278de4f95bdd864fc655d93d1894805e85a31a2cb84615b446fa9396","coverage":[{"denominator":139,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:23:40.846066Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T17:33:51.009630Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-10T22:45:49.662660Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11474","snapshot_observed_at":"2026-08-03T17:33:51.009630Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entangle- ment in JT Gravity,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.09460","last_updated":"2025-12-12T12:36:11Z","snapshot_observed_at":"2026-08-09T20:50:03.596834Z","submitted_at":"2025-12-10T09:29:15Z","title":"Island of acoustic black hole in Schwarzschild spacetime","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T17:33:51.009630Z"},"links":{"cited_paper":"/paper/2501.11474","citing_paper":"/paper/2512.09460"},"observation_digest":"sha256:610fa0acf6d6796a792c546e23c92d370f1fd807e8ba1f66979a66519bc8583c","observation_id":"54a132c5-2a25-4df7-9df0-5dcd0741c5d3","resolution":{"observed_at":"2026-08-03T17:33:51.009630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"cited_work":{"arxiv_id":"2501.11474","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.11474","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Yu, S.-Y","venue":null,"work_id":"de3d79f4-82b9-4a6b-9d09-5077e1b24648","year":2026},"citing_paper":{"arxiv_id":"2604.05815","last_updated":"2026-04-07T12:49:52Z","snapshot_observed_at":"2026-08-02T22:42:56.164253Z","submitted_at":"2026-04-07T12:49:52Z","title":"Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T19:36:34.355379Z"},"links":{"cited_paper":"/paper/2501.11474","citing_paper":"/paper/2604.05815"},"observation_digest":"sha256:eca956a4941bd67d4ed2715554bc0e54ff107ccdf582a302eb30adb02f1cf63f","observation_id":"f39dfb6a-5047-4793-9888-420e85abe34f","resolution":{"observed_at":"2026-05-10T22:45:49.668076Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.11474/citation-record","integrity":"/paper/2501.11474/integrity","json":"/paper/2501.11474/citation-record.json","paper":"/paper/2501.11474"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:23:38.307803Z","title":"Particle Creation by Black Holes,","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.307803Z"},"links":{"citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:99f32d2aafcc724184ba8e5863de11a1b2d120de15154bd11f94ba167e41e34c","observation_id":"50c0c4bb-1354-4f18-8265-00763aad4f57","resolution":{"observed_at":"2026-08-10T18:23:38.307803Z","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":"2026-08-10T18:23:38.363193Z","title":"Breakdown of Predictability in Gravitational Collapse,","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.363193Z"},"links":{"citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:3f48a70a1a445896d9c6c0cd17df9c3fbd25748213458b151db0551661b2cd73","observation_id":"3c2d744e-0165-4e4a-84b8-4b9b3c0722c3","resolution":{"observed_at":"2026-08-10T18:23:38.363193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.08762","last_updated":"2019-11-04T15:53:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2019-05-21T17:27:30Z","title":"The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.08762","snapshot_observed_at":"2026-08-10T18:23:38.407263Z","title":"The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.407263Z"},"links":{"cited_paper":"/paper/1905.08762","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d2a2b8fadfa2d2242ade3f7529692390ecef12d3e9cf3f804e192c2653a959bf","observation_id":"88bd47ef-f710-4bc4-ad77-593204b96b5c","resolution":{"observed_at":"2026-08-10T18:23:38.407263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.10996","last_updated":"2019-11-04T16:40:19Z","snapshot_observed_at":"2026-08-09T18:08:31.620821Z","submitted_at":"2019-08-29T00:37:46Z","title":"The Page curve of Hawking radiation from semiclassical geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.10996","snapshot_observed_at":"2026-08-10T18:23:38.413358Z","title":"The Page curve of Hawking ridiation from semiclassical geometry,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.413358Z"},"links":{"cited_paper":"/paper/1908.10996","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:eff87cd98a7c7661a0a08b64561ea029115e59f59d327bbfd4a230862718321d","observation_id":"ee2f2b71-b8cb-4043-9a1c-40b8a2fb79a6","resolution":{"observed_at":"2026-08-10T18:23:38.413358Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.08255","last_updated":"2020-08-29T01:47:10Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2019-05-20T18:00:01Z","title":"Entanglement Wedge Reconstruction and the Information Paradox","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.08255","snapshot_observed_at":"2026-08-10T18:23:38.418427Z","title":"Entanglement Wedge Reconstruction and the Information Paradox,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.418427Z"},"links":{"cited_paper":"/paper/1905.08255","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:0d38fd8cfb2a6d6941b0a56d8de7b50884779ffe7656274ef89f65f8fb7ed588","observation_id":"5f1f85de-70aa-4d89-907e-2210ed52d851","resolution":{"observed_at":"2026-08-10T18:23:38.418427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.06872","last_updated":"2020-06-11T23:23:14Z","snapshot_observed_at":"2026-08-08T22:07:40.447172Z","submitted_at":"2020-06-11T23:23:14Z","title":"The entropy of Hawking radiation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.06872","snapshot_observed_at":"2026-08-10T18:23:38.510397Z","title":"The entropy of Hawking radiation,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.510397Z"},"links":{"cited_paper":"/paper/2006.06872","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:98be07ee97ca4cc60f81f0555fec4f1550535b8434381dc260599779c289f6ed","observation_id":"6bf815a2-6b3b-42d3-9095-395d6d5d0c46","resolution":{"observed_at":"2026-08-10T18:23:38.510397Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.3203","last_updated":"2015-01-14T22:05:02Z","snapshot_observed_at":"2026-08-05T09:41:45.470493Z","submitted_at":"2014-08-14T06:57:49Z","title":"Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.3203","snapshot_observed_at":"2026-08-10T18:23:38.516206Z","title":"Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.516206Z"},"links":{"cited_paper":"/paper/1408.3203","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:e13f4539a8e4cb9d7e09a9d132e60d55435fb0fd571a60c8b5d6236be25cf62b","observation_id":"d220e482-e545-4c7f-a51c-e42f574c444e","resolution":{"observed_at":"2026-08-10T18:23:38.516206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9306083","last_updated":"1993-08-26T22:59:01Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1993-06-18T01:10:14Z","title":"Information in Black Hole Radiation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9306083","snapshot_observed_at":"2026-08-10T18:23:38.521069Z","title":"Information in black hole radiation,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.521069Z"},"links":{"cited_paper":"/paper/hep-th/9306083","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:52bf192322a589e30ac398687ae79fb1ebccf481164f7c1e4a39b766c63762e9","observation_id":"2846fa8e-b2b7-48b1-8a92-25940666d110","resolution":{"observed_at":"2026-08-10T18:23:38.521069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1301.4995","last_updated":"2013-08-09T18:35:18Z","snapshot_observed_at":"2026-08-02T13:32:36.594824Z","submitted_at":"2013-01-21T21:00:02Z","title":"Time Dependence of Hawking Radiation Entropy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1301.4995","snapshot_observed_at":"2026-08-10T18:23:38.526252Z","title":"Time Dependence of Hawking Radiation Entropy,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.526252Z"},"links":{"cited_paper":"/paper/1301.4995","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:3667cd70de6f7c35fe8e4673ac90e9a0ccad14d0d91be25366585fa91564452c","observation_id":"fca0bfc0-3a2a-4198-b2a8-e60d8242741e","resolution":{"observed_at":"2026-08-10T18:23:38.526252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0603001","last_updated":"2006-03-07T19:21:09Z","snapshot_observed_at":"2026-07-07T04:56:49.142200Z","submitted_at":"2006-02-28T21:29:24Z","title":"Holographic Derivation of Entanglement Entropy from AdS/CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0603001","snapshot_observed_at":"2026-08-10T18:23:38.603677Z","title":"Holographic derivation of entanglement entropy from AdS/CFT,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.603677Z"},"links":{"cited_paper":"/paper/hep-th/0603001","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:0904a85886f07471244eb7c684dd5b8787b85df08bcb3aa5ee9af20e57e8f089","observation_id":"2cc417c6-ce00-4a2e-8060-61fceb5dcea5","resolution":{"observed_at":"2026-08-10T18:23:38.603677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0605073","last_updated":"2006-06-20T07:45:55Z","snapshot_observed_at":"2026-08-10T09:34:55.137969Z","submitted_at":"2006-05-06T08:49:11Z","title":"Aspects of Holographic Entanglement Entropy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0605073","snapshot_observed_at":"2026-08-10T18:23:38.686622Z","title":"Aspects of Holographic Entanglement Entropy,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.686622Z"},"links":{"cited_paper":"/paper/hep-th/0605073","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d5b8294176fe349a0bf8f59612dfa05ef9bfa084da271d60457ac5a4e26f73ed","observation_id":"01fbc408-9584-4bc9-84fb-15c5a4c1fc81","resolution":{"observed_at":"2026-08-10T18:23:38.686622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.4926","last_updated":"2013-06-13T14:48:06Z","snapshot_observed_at":"2026-07-06T03:11:25.576037Z","submitted_at":"2013-04-17T19:30:11Z","title":"Generalized gravitational entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.4926","snapshot_observed_at":"2026-08-10T18:23:38.710843Z","title":"Generalized gravitational entropy,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.710843Z"},"links":{"cited_paper":"/paper/1304.4926","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:bb4b7f0c4133c248b53918b9cb1b77e52f0c95366866466f67f8a4856b002120","observation_id":"a5162473-5513-464f-bfa3-10f05ea6cafb","resolution":{"observed_at":"2026-08-10T18:23:38.710843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.11977","last_updated":"2020-04-15T16:07:46Z","snapshot_observed_at":"2026-08-08T02:08:10.262068Z","submitted_at":"2019-11-27T06:30:56Z","title":"Replica wormholes and the black hole interior","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.11977","snapshot_observed_at":"2026-08-10T18:23:38.715810Z","title":"Replica wormholes and the black hole interior,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.715810Z"},"links":{"cited_paper":"/paper/1911.11977","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:08c2a327c11af330428e4e5eeb0092cc73c99c72d4c1f4f15786b317adfbf6b3","observation_id":"2ffaad1e-a2af-436e-a518-0d28fba7f9f8","resolution":{"observed_at":"2026-08-10T18:23:38.715810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.12333","last_updated":"2020-04-24T11:14:44Z","snapshot_observed_at":"2026-08-06T23:22:13.290780Z","submitted_at":"2019-11-27T18:23:34Z","title":"Replica Wormholes and the Entropy of Hawking Radiation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.12333","snapshot_observed_at":"2026-08-10T18:23:38.720417Z","title":"Replica Wormholes and the Entropy of Hawking Radiation,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.720417Z"},"links":{"cited_paper":"/paper/1911.12333","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:00f62b89db52690bbe3587295bcf5d5c9e9a012d2bda572958bb603586b3ef8f","observation_id":"2da09400-bdd6-4dc4-bcbf-94b10f2c7729","resolution":{"observed_at":"2026-08-10T18:23:38.720417Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.09043","last_updated":"2020-11-18T02:31:46Z","snapshot_observed_at":"2026-08-03T00:06:26.104515Z","submitted_at":"2020-11-18T02:31:46Z","title":"Replica wormholes for an evaporating 2D black hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.09043","snapshot_observed_at":"2026-08-10T18:23:38.724769Z","title":"Replica wormholes for an evaporating 2D black hole,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.724769Z"},"links":{"cited_paper":"/paper/2011.09043","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:05819ebbdcd57db70f921953f980fd1824b3d4617bbd5d07f73e224739d6bc14","observation_id":"3e214120-7562-4788-b330-8d3360cfa655","resolution":{"observed_at":"2026-08-10T18:23:38.724769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.11077","last_updated":"2023-08-08T16:18:45Z","snapshot_observed_at":"2026-08-06T15:56:40.162483Z","submitted_at":"2019-10-24T13:36:26Z","title":"Islands outside the horizon","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.11077","snapshot_observed_at":"2026-08-10T18:23:38.777525Z","title":"Islands outside the horizon,","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.777525Z"},"links":{"cited_paper":"/paper/1910.11077","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f7b60db91bc758ac66d2dcb22741a14b9ab1b9dbe17fea478e2f98cc05dac910","observation_id":"c2a9da29-d29a-49f3-8e96-a56007a3910e","resolution":{"observed_at":"2026-08-10T18:23:38.777525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.14944","last_updated":"2020-07-15T07:39:36Z","snapshot_observed_at":"2026-08-09T20:20:51.951089Z","submitted_at":"2020-04-30T16:49:50Z","title":"Islands and Page Curves for Evaporating Black Holes in JT Gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.14944","snapshot_observed_at":"2026-08-10T18:23:38.885355Z","title":"Islands and Page Curves for Evaporating Black Holes in JT Gravity,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.885355Z"},"links":{"cited_paper":"/paper/2004.14944","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:b1847e2e42bdd0f78e38e33e348ace9f9c41e95aa2a588d0115cd238f59f2990","observation_id":"0d3f10d8-671c-47fc-ab7f-d2fa99df561b","resolution":{"observed_at":"2026-08-10T18:23:38.885355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.01601","last_updated":"2020-04-09T01:52:53Z","snapshot_observed_at":"2026-08-08T23:39:20.328644Z","submitted_at":"2020-04-03T14:47:08Z","title":"Notes on islands in asymptotically flat 2d dilaton black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.01601","snapshot_observed_at":"2026-08-10T18:23:38.890852Z","title":"Notes on islands in asymptotically flat 2d dilaton black holes,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.890852Z"},"links":{"cited_paper":"/paper/2004.01601","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:ac1525c065315a3fc210a2d4751314a6820e26e643413180609ad8c00aaf60db","observation_id":"76142a49-20e9-4b72-8915-548e2ecff37b","resolution":{"observed_at":"2026-08-10T18:23:38.890852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.00598","last_updated":"2020-04-21T08:27:02Z","snapshot_observed_at":"2026-08-08T21:00:11.789900Z","submitted_at":"2020-04-01T17:32:32Z","title":"Page Curve for an Evaporating Black Hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.00598","snapshot_observed_at":"2026-08-10T18:23:38.895748Z","title":"Page Curve for an Evaporating Black Hole,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.895748Z"},"links":{"cited_paper":"/paper/2004.00598","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:96e41c7a2b09d12a4a800e0422683a8f54d9a0ecc0f46d23fa8f9214b2a15c82","observation_id":"488b5af1-3441-4d5c-9b44-20f373726c2b","resolution":{"observed_at":"2026-08-10T18:23:38.895748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.13857","last_updated":"2020-04-28T21:27:42Z","snapshot_observed_at":"2026-08-06T17:13:33.309903Z","submitted_at":"2020-04-28T21:27:42Z","title":"Islands in Asymptotically Flat 2D Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.13857","snapshot_observed_at":"2026-08-10T18:23:38.901166Z","title":"Islands in Asymptotically Flat 2D Gravity,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.901166Z"},"links":{"cited_paper":"/paper/2004.13857","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:4a10e7afaf20f158b1f7656d1c2e49487de0337fa0cfebfb0c1557c10a77283a","observation_id":"fdfdc162-8ac1-4911-abda-256d2ef1a860","resolution":{"observed_at":"2026-08-10T18:23:38.901166Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.00224","last_updated":"2021-06-13T16:50:10Z","snapshot_observed_at":"2026-08-11T02:17:48.607365Z","submitted_at":"2021-04-01T03:09:45Z","title":"Page curves for a family of exactly solvable evaporating black holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.00224","snapshot_observed_at":"2026-08-10T18:23:38.905598Z","title":"Islands and Page curves for a family of exactly solvable evaporating black holes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.905598Z"},"links":{"cited_paper":"/paper/2104.00224","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:b345f5a6667b545874eb59e85b8e99e5740eb79c337ce74effa67f71adab709f","observation_id":"c5835d42-f26f-4e12-ac26-71c7531a81c1","resolution":{"observed_at":"2026-08-10T18:23:38.905598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.03271","last_updated":"2021-10-20T19:18:38Z","snapshot_observed_at":"2026-08-04T20:05:01.401607Z","submitted_at":"2021-05-07T13:49:43Z","title":"Island may not save the information paradox of Liouville black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.03271","snapshot_observed_at":"2026-08-10T18:23:38.954354Z","title":"Island may not save the information paradox of Liouville black holes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:38.954354Z"},"links":{"cited_paper":"/paper/2105.03271","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d496d0775f9ff1888bf59f6d07e4fee14e81ac26d887f65fec5b52018a397ce1","observation_id":"4150ea04-0e14-4255-a996-c51799156dd6","resolution":{"observed_at":"2026-08-10T18:23:38.954354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01943","last_updated":"2022-08-12T16:33:45Z","snapshot_observed_at":"2026-07-06T13:38:17.696613Z","submitted_at":"2022-08-03T09:43:12Z","title":"Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01943","snapshot_observed_at":"2026-08-10T18:23:39.233183Z","title":"Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.233183Z"},"links":{"cited_paper":"/paper/2208.01943","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:38d7853dc74fd3540c205180dcfccdcefde68663edf100780d880172388b1baf","observation_id":"075cf8a5-9733-4396-84d9-4acbcf62e762","resolution":{"observed_at":"2026-08-10T18:23:39.233183Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.14750","last_updated":"2023-03-19T12:36:27Z","snapshot_observed_at":"2026-07-06T14:10:43.985010Z","submitted_at":"2022-10-26T14:34:25Z","title":"Page Curve and Phase Transition in deformed Jackiw-Teitelboim Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.14750","snapshot_observed_at":"2026-08-10T18:23:39.654894Z","title":"Page Curve and Phase Transition in deformed Jackiw-Teitelboim Gravity,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.654894Z"},"links":{"cited_paper":"/paper/2210.14750","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:a3f3860da62917cd1d9b520089e95e725c4d7131b3b8b29797d5ec03bc6577ce","observation_id":"521cda20-90ee-4c2f-8b2d-0e5f798cbbbf","resolution":{"observed_at":"2026-08-10T18:23:39.654894Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.06912","last_updated":"2022-06-06T23:14:25Z","snapshot_observed_at":"2026-08-05T17:32:49.781850Z","submitted_at":"2021-11-12T19:35:14Z","title":"Microcanonical Action and the Entropy of Hawking Radiation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.06912","snapshot_observed_at":"2026-08-10T18:23:39.719384Z","title":"Microcanonical Action and the Entropy of Hawking Radiation,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.719384Z"},"links":{"cited_paper":"/paper/2111.06912","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:6e77fbd9028c7138b31625212de4dbe03e5702c9f8cbfdbed292fd9ad41f0608","observation_id":"ac3f5b46-4e4c-40a0-8b12-828446dc7a3d","resolution":{"observed_at":"2026-08-10T18:23:39.719384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.10358","last_updated":"2022-01-04T23:33:22Z","snapshot_observed_at":"2026-08-07T04:07:11.983321Z","submitted_at":"2021-07-21T21:17:47Z","title":"Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.10358","snapshot_observed_at":"2026-08-10T18:23:39.774790Z","title":"Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.774790Z"},"links":{"cited_paper":"/paper/2107.10358","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:515384f5b5eb924f1bacbc729815fb2e1a6674c8496089c20137298bd33fbc26","observation_id":"f4170c22-2961-49a6-a8dd-96af07193f54","resolution":{"observed_at":"2026-08-10T18:23:39.774790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.01022","last_updated":"2020-10-13T20:46:29Z","snapshot_observed_at":"2026-08-10T20:20:18.802718Z","submitted_at":"2020-08-03T17:01:04Z","title":"Islands in cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.01022","snapshot_observed_at":"2026-08-10T18:23:39.779575Z","title":"Islands in cosmology,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.779575Z"},"links":{"cited_paper":"/paper/2008.01022","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f57ca43050f10c548b4c784502f1bb84fa978d80d6d8fcbe02433b6b751316c4","observation_id":"4e65f2c6-3fe3-44f2-afdd-d794eecc09b6","resolution":{"observed_at":"2026-08-10T18:23:39.779575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.05275","last_updated":"2020-12-22T19:00:11Z","snapshot_observed_at":"2026-08-09T18:53:36.764430Z","submitted_at":"2020-08-12T12:49:00Z","title":"Islands in de Sitter space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.05275","snapshot_observed_at":"2026-08-10T18:23:39.785082Z","title":"Islands in de Sitter space,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.785082Z"},"links":{"cited_paper":"/paper/2008.05275","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:77a59531bcc47936cab88ca46ca2636a624d0636f3b481ac862d503cecc09364","observation_id":"db2b772d-a57b-418a-b7d6-4dbf076a4eea","resolution":{"observed_at":"2026-08-10T18:23:39.785082Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.07994","last_updated":"2021-07-27T16:00:56Z","snapshot_observed_at":"2026-07-06T09:48:09.520815Z","submitted_at":"2020-08-18T15:41:08Z","title":"Pure de Sitter space and the island moving back in time","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.07994","snapshot_observed_at":"2026-08-10T18:23:39.789903Z","title":"Pure de Sitter space and the island moving back in time,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.789903Z"},"links":{"cited_paper":"/paper/2008.07994","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:31625c9191e4396d1d20935a4c3635c99f89aaba23bac6250812dd5d34373f97","observation_id":"255acb91-0bf8-4fd4-ae76-3840ba470c50","resolution":{"observed_at":"2026-08-10T18:23:39.789903Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.07477","last_updated":"2021-03-25T21:31:00Z","snapshot_observed_at":"2026-08-08T01:19:11.368598Z","submitted_at":"2021-03-12T19:00:01Z","title":"An Information Paradox and Its Resolution in de Sitter Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.07477","snapshot_observed_at":"2026-08-10T18:23:39.840343Z","title":"Information paradox and its resolution in de sitter holography,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.840343Z"},"links":{"cited_paper":"/paper/2103.07477","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:4b2b8e9794f4a6eec0849050f661b7a71aaa29e1a0aad72c3b10e591983b12cb","observation_id":"d0e4f443-8b37-41a1-8541-d248fa66e851","resolution":{"observed_at":"2026-08-10T18:23:39.840343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.00006","last_updated":"2021-04-14T20:33:07Z","snapshot_observed_at":"2026-08-10T19:13:39.996665Z","submitted_at":"2021-03-31T18:00:00Z","title":"The Price of Curiosity: Information Recovery in de Sitter Space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.00006","snapshot_observed_at":"2026-08-10T18:23:39.891834Z","title":"The Price of Curiosity: Information Recovery in de Sitter Space,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.891834Z"},"links":{"cited_paper":"/paper/2104.00006","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:bdbdf31ce55a43fecc8ebb01b31d04edd9701fe8921ce8cc13c2fbd60f1758cc","observation_id":"17c0e14d-980c-4264-9add-4e87f4a78624","resolution":{"observed_at":"2026-08-10T18:23:39.891834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.02259","last_updated":"2021-07-08T18:24:11Z","snapshot_observed_at":"2026-08-10T05:14:53.082247Z","submitted_at":"2020-08-05T17:40:06Z","title":"Comments on wormholes, ensembles, and cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.02259","snapshot_observed_at":"2026-08-10T18:23:39.902970Z","title":"Comments on wormholes, ensembles, and cosmology,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.902970Z"},"links":{"cited_paper":"/paper/2008.02259","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:7d4e18a7ff256593241a544da66c4e7560b9d6cfe85403e3a75e806c82ebba32","observation_id":"1dab33d9-978a-432c-a9d2-3aba6089c1c4","resolution":{"observed_at":"2026-08-10T18:23:39.902970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.04795","last_updated":"2022-01-11T11:16:17Z","snapshot_observed_at":"2026-08-04T06:54:02.369459Z","submitted_at":"2021-09-10T11:21:28Z","title":"Islands in Flat-Space Cosmology","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.04795","snapshot_observed_at":"2026-08-10T18:23:39.907663Z","title":"Islands in Flat-Space Cosmology,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.907663Z"},"links":{"cited_paper":"/paper/2109.04795","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:83a8503576e55d95de30155ccbac81e7bbc50a3d14fcd9eb86115dc1ec2c4df3","observation_id":"80736215-ddc4-453c-8d77-c1d743a31960","resolution":{"observed_at":"2026-08-10T18:23:39.907663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.05274","last_updated":"2020-12-24T20:04:32Z","snapshot_observed_at":"2026-08-09T13:13:58.426996Z","submitted_at":"2020-08-12T12:48:50Z","title":"Entanglement between two disjoint universes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.05274","snapshot_observed_at":"2026-08-10T18:23:39.935363Z","title":"Entanglement between two disjoint universes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.935363Z"},"links":{"cited_paper":"/paper/2008.05274","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f032331f6f1e218ed08fe68959bae8094bb447bf64175e790312651aa5bb2691","observation_id":"bec66e90-7eca-4bea-86f4-7bf4137711f8","resolution":{"observed_at":"2026-08-10T18:23:39.935363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.00183","last_updated":"2021-09-26T16:44:02Z","snapshot_observed_at":"2026-07-06T10:55:31.855243Z","submitted_at":"2021-04-01T01:15:05Z","title":"Evaporation of black holes in flat space entangled with an auxiliary universe","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.00183","snapshot_observed_at":"2026-08-10T18:23:39.987179Z","title":"Evaporation of black holes in flat space entangled with an auxiliary universe,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.987179Z"},"links":{"cited_paper":"/paper/2104.00183","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:25ab4d8138cf2fb292c65bbad08ed74ad6f1180ee137de77649d0e22259caf34","observation_id":"06296cab-a9ed-43b5-88e0-58a271588e3a","resolution":{"observed_at":"2026-08-10T18:23:39.987179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.13383","last_updated":"2021-04-27T18:00:00Z","snapshot_observed_at":"2026-08-09T13:12:32.499274Z","submitted_at":"2021-04-27T18:00:00Z","title":"Entanglement between two gravitating universes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.13383","snapshot_observed_at":"2026-08-10T18:23:39.993347Z","title":"Entanglement between two gravitating universes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.993347Z"},"links":{"cited_paper":"/paper/2104.13383","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:044f869e93b9445f1dfb0bf924c1669a647a3c5c245e817098a5112708a832b9","observation_id":"4c0b7600-e70d-492b-b54a-e8bf66a17abe","resolution":{"observed_at":"2026-08-10T18:23:39.993347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04671","last_updated":"2021-05-11T20:05:31Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:07Z","title":"Information Transfer with a Gravitating Bath","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04671","snapshot_observed_at":"2026-08-10T18:23:39.998484Z","title":"Information transfer with a gravitating bath,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:39.998484Z"},"links":{"cited_paper":"/paper/2012.04671","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:11232551e4abf3be1b701962041ecc05f6ade72fe569fa291a3693dffa4ee45e","observation_id":"879e42ee-52da-40b1-8c76-0a35adb4f1ce","resolution":{"observed_at":"2026-08-10T18:23:39.998484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.14746","last_updated":"2021-06-15T04:18:17Z","snapshot_observed_at":"2026-07-06T10:53:51.296957Z","submitted_at":"2021-03-26T21:51:18Z","title":"Islands with Gravitating Baths: Towards ER = EPR","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.14746","snapshot_observed_at":"2026-08-10T18:23:40.003530Z","title":"Islands with Gravitating Baths: Towards ER = EPR,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.003530Z"},"links":{"cited_paper":"/paper/2103.14746","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:b91cc09d154738907d7c8bb00ba37cb88d92e7b14bb69a351f1c4ac2b5b091ed","observation_id":"b5fe7add-7de3-471b-99f4-ea43d0f3b0fe","resolution":{"observed_at":"2026-08-10T18:23:40.003530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11817","last_updated":"2021-05-25T10:36:08Z","snapshot_observed_at":"2026-07-06T11:12:31.688359Z","submitted_at":"2021-05-25T10:36:08Z","title":"Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.11817","snapshot_observed_at":"2026-08-10T18:23:40.008490Z","title":"Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.008490Z"},"links":{"cited_paper":"/paper/2105.11817","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:a289f0a0eb0491834402a1050aaff1dd14bc5766553394f56641e850cb6dd951","observation_id":"06474c18-946b-4981-b636-c67da5bdb64b","resolution":{"observed_at":"2026-08-10T18:23:40.008490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.16398","last_updated":"2020-10-30T17:49:36Z","snapshot_observed_at":"2026-08-09T10:18:13.439037Z","submitted_at":"2020-10-30T17:49:36Z","title":"Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.16398","snapshot_observed_at":"2026-08-10T18:23:40.013390Z","title":"Quantum Extremal Islands Made Easy, Part III: Complexity on the Brane,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.013390Z"},"links":{"cited_paper":"/paper/2010.16398","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:4a5dc33881efa56d6921669ac5395023fb1198d5a53409cc7baf91779d133337","observation_id":"e976e06b-b86d-4a25-b49b-0f8de82a7642","resolution":{"observed_at":"2026-08-10T18:23:40.013390Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.00909","last_updated":"2020-08-09T15:17:59Z","snapshot_observed_at":"2026-07-06T08:41:27.757183Z","submitted_at":"2019-12-02T16:38:31Z","title":"A quantum circuit interpretation of evaporating black hole geometry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.00909","snapshot_observed_at":"2026-08-10T18:23:40.052531Z","title":"A quantum circuit interpretation of evaporating black hole geometry,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.052531Z"},"links":{"cited_paper":"/paper/1912.00909","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:67b67e56d102ad119be766cb5b01941e7270b83a4690136c1ee22598f55a758e","observation_id":"298bb477-1b70-4776-987d-9beecbf6a332","resolution":{"observed_at":"2026-08-10T18:23:40.052531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04134","last_updated":"2021-01-12T09:55:35Z","snapshot_observed_at":"2026-07-06T10:02:45.105181Z","submitted_at":"2020-10-08T17:25:06Z","title":"Topological shadows and complexity of islands in multiboundary wormholes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.04134","snapshot_observed_at":"2026-08-10T18:23:40.093109Z","title":"Topological shadows and complexity of islands in multiboundary wormholes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.093109Z"},"links":{"cited_paper":"/paper/2010.04134","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:c756caa6a5baa837f7260839b763125c044b1d7557397bf6322541f7582be5ca","observation_id":"698c5d8a-35c3-4bcb-94dc-de225346cd8e","resolution":{"observed_at":"2026-08-10T18:23:40.093109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.15852","last_updated":"2021-05-03T15:40:39Z","snapshot_observed_at":"2026-07-06T10:54:36.104708Z","submitted_at":"2021-03-29T18:02:25Z","title":"Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.15852","snapshot_observed_at":"2026-08-10T18:23:40.126865Z","title":"Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.126865Z"},"links":{"cited_paper":"/paper/2103.15852","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:61133dae4b63c630dfc6e0cb30523fb42922a188233e2b3fcb8871a6ff28d9bd","observation_id":"1905eaf5-ba5f-4204-a72e-51f77f38ffdf","resolution":{"observed_at":"2026-08-10T18:23:40.126865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.07842","last_updated":"2021-12-05T13:38:24Z","snapshot_observed_at":"2026-08-10T05:53:55.777499Z","submitted_at":"2021-09-16T10:10:48Z","title":"Partial islands and subregion complexity in geometric secret-sharing model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.07842","snapshot_observed_at":"2026-08-10T18:23:40.143688Z","title":"Partial islands and subregion complexity in geometric secret-sharing model,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.143688Z"},"links":{"cited_paper":"/paper/2109.07842","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:48368b70264c7eaac19431263295c0e810080496604e3028cf385c51300ed88b","observation_id":"7431a91d-57cf-4c64-a431-a5f818b8a45b","resolution":{"observed_at":"2026-08-10T18:23:40.143688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.06967","last_updated":"2021-12-15T06:59:21Z","snapshot_observed_at":"2026-07-06T12:18:18.529747Z","submitted_at":"2021-12-13T19:09:35Z","title":"Bath deformations, islands and holographic complexity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.06967","snapshot_observed_at":"2026-08-10T18:23:40.148572Z","title":"Bath deformations, islands, and holographic complexity,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.148572Z"},"links":{"cited_paper":"/paper/2112.06967","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:1d7a1e31ab25de742d05fceece9cd0d638d2fa0076ffff8298428435a6f56cc6","observation_id":"e24f7ce9-30c0-4f0a-a5fa-4f47ede4f8d4","resolution":{"observed_at":"2026-08-10T18:23:40.148572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.03304","last_updated":"2022-08-19T03:29:46Z","snapshot_observed_at":"2026-08-10T20:58:00.166201Z","submitted_at":"2022-02-07T15:47:14Z","title":"AdS/BCFT and Island for curvature-squared gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.03304","snapshot_observed_at":"2026-08-10T18:23:40.153714Z","title":"AdS/BCFT and Island for curvature-squared gravity,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.153714Z"},"links":{"cited_paper":"/paper/2202.03304","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:1be6c1558a1014f1d268ae70665615d622a53ff9a2e538a19045327c2cf4d190","observation_id":"e57bd910-ab83-4417-b39a-3f4041308861","resolution":{"observed_at":"2026-08-10T18:23:40.153714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.11982","last_updated":"2022-11-02T23:03:20Z","snapshot_observed_at":"2026-08-09T13:49:50.058331Z","submitted_at":"2022-08-25T10:24:38Z","title":"Island on codimension-two branes in AdS/dCFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.11982","snapshot_observed_at":"2026-08-10T18:23:40.158170Z","title":"Island on codimension-two branes in AdS/dCFT,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.158170Z"},"links":{"cited_paper":"/paper/2208.11982","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:4fd3a00c7f93be125564f223ca10b5529655938083d63ec52191aec32ba39a75","observation_id":"daa99337-220b-497a-a9cc-562848e9b0c6","resolution":{"observed_at":"2026-08-10T18:23:40.158170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.07645","last_updated":"2024-03-29T06:37:04Z","snapshot_observed_at":"2026-07-06T14:30:51.696188Z","submitted_at":"2022-12-15T07:33:32Z","title":"Entanglement Island versus Massless Gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.07645","snapshot_observed_at":"2026-08-10T18:23:40.163144Z","title":"Entanglement island versus massless gravity,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.163144Z"},"links":{"cited_paper":"/paper/2212.07645","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:c5bf89e3c47416ae92b621a7aae5a80b749fb22753345e484c9afd892275d361","observation_id":"7e27663a-c0ae-4077-b969-eaf0cae5fb06","resolution":{"observed_at":"2026-08-10T18:23:40.163144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.06285","last_updated":"2023-03-28T22:36:37Z","snapshot_observed_at":"2026-07-06T14:41:37.145455Z","submitted_at":"2023-01-16T07:00:01Z","title":"Entanglement Island and Page Curve in Wedge Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.06285","snapshot_observed_at":"2026-08-10T18:23:40.167898Z","title":"Entanglement island and Page curve in wedge holographym","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.167898Z"},"links":{"cited_paper":"/paper/2301.06285","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:07a4a92fbcde12f621ac08b52c98783cc2c0558561a5a054d8e1db336b9bb58d","observation_id":"1a4259e1-09fe-4adf-8f2e-439a17fd27d6","resolution":{"observed_at":"2026-08-10T18:23:40.167898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.10958","last_updated":"2023-06-13T21:22:15Z","snapshot_observed_at":"2026-07-06T15:05:35.040701Z","submitted_at":"2023-03-20T09:30:49Z","title":"Massless Entanglement Islands in Cone Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.10958","snapshot_observed_at":"2026-08-10T18:23:40.172962Z","title":"Massless entanglement islands in cone holography,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.172962Z"},"links":{"cited_paper":"/paper/2303.10958","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:1932a4295aece39231bf69d2d8c659634bdba5fe8aedb00237d07d6f29765d6c","observation_id":"b2823d48-a6c4-4215-9c4d-5e8596ca6645","resolution":{"observed_at":"2026-08-10T18:23:40.172962Z","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":"2026-08-10T18:23:40.178110Z","title":"Page curves on codim-m and charged branes,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.178110Z"},"links":{"citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:099a1440fbeecd959ea89b66f003535cd0301d4331e9f0e415d77666e1fa2093","observation_id":"5ac2895b-8d2b-4490-99d1-347b78f0c718","resolution":{"observed_at":"2026-08-10T18:23:40.178110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.03983","last_updated":"2021-06-06T07:35:25Z","snapshot_observed_at":"2026-07-06T10:21:33.099775Z","submitted_at":"2020-12-07T19:00:27Z","title":"Islands for Entanglement Negativity","version":3},"cited_work":{"arxiv_id":"2012.03983","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.03983","snapshot_observed_at":"2026-08-10T18:23:43.130231Z","title":"Islands for Entanglement Negativity","venue":"hep-th","work_id":"31a6f093-6541-475e-9444-489fe7481612","year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.182377Z"},"links":{"cited_paper":"/paper/2012.03983","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:255f0e960a8486848f2114c3e8277393bd6f8ad5f2b928cf18321867c3862662","observation_id":"af789bae-2c9e-4a6c-9691-17e188eb2bd4","resolution":{"observed_at":"2026-08-10T18:23:43.135402Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.07903","last_updated":"2023-08-27T17:53:40Z","snapshot_observed_at":"2026-08-06T03:54:09.773059Z","submitted_at":"2022-05-16T18:00:03Z","title":"Islands for Entanglement Negativity in Communicating Black Holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.07903","snapshot_observed_at":"2026-08-10T18:23:40.187235Z","title":"Islands for Entanglement Negativity in Communicating Black Holes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.187235Z"},"links":{"cited_paper":"/paper/2205.07903","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:c7839d9e020f68afd655a9805c5e9f9c8e6b04b573648d170b8407f881b52b18","observation_id":"c4ba4185-e9dd-4828-849e-0b59002e133e","resolution":{"observed_at":"2026-08-10T18:23:40.187235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.02649","last_updated":"2021-09-06T18:00:01Z","snapshot_observed_at":"2026-08-05T11:54:45.357940Z","submitted_at":"2021-09-06T18:00:01Z","title":"Negativity Spectra in Random Tensor Networks and Holography","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.02649","snapshot_observed_at":"2026-08-10T18:23:40.193076Z","title":"Negativity spectra in random tensor networks and holography,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.193076Z"},"links":{"cited_paper":"/paper/2109.02649","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:31a1b8f8cd48a1c519e7b42cbf2c30d0e5f3f47b885cfb74135ad69fd10137d3","observation_id":"cf8c9e92-66b1-4f5a-9848-9f4e3f49cb74","resolution":{"observed_at":"2026-08-10T18:23:40.193076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.07905","last_updated":"2022-05-16T18:00:04Z","snapshot_observed_at":"2026-08-10T17:23:09.242664Z","submitted_at":"2022-05-16T18:00:04Z","title":"Defect extremal surfaces for entanglement negativity","version":1},"cited_work":{"arxiv_id":"2205.07905","doi":null,"metadata_source":"pith","pith_arxiv_id":"2205.07905","snapshot_observed_at":"2026-08-10T18:23:43.077127Z","title":"Defect extremal surfaces for entanglement negativity","venue":"hep-th","work_id":"e20b7e45-9149-4d65-b08b-2f336daaa561","year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.198325Z"},"links":{"cited_paper":"/paper/2205.07905","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d956fe02eab462fcf06de018217c6f5ab359a867ae187c0fd021144a90e2ec33","observation_id":"1e84cfcc-d2f6-481f-b52e-e67d67a21022","resolution":{"observed_at":"2026-08-10T18:23:43.082269Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.05951","last_updated":"2024-07-14T02:50:48Z","snapshot_observed_at":"2026-07-06T13:20:02.689470Z","submitted_at":"2022-06-13T07:46:25Z","title":"Entanglement Negativity and Defect Extremal Surface","version":4},"cited_work":{"arxiv_id":"2206.05951","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.05951","snapshot_observed_at":"2026-08-10T18:23:43.054941Z","title":"Entanglement Negativity and Defect Extremal Surface","venue":"hep-th","work_id":"f12ebdcf-5c10-425e-a24b-74209fe8a4db","year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.213484Z"},"links":{"cited_paper":"/paper/2206.05951","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:c2bf527292711bdcb4413ed5b99416ce20d7dab5dce6300d8c41fe1006246cb1","observation_id":"24eb8df1-dd60-4c34-8d85-4a3d3824cc53","resolution":{"observed_at":"2026-08-10T18:23:43.059976Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10846","last_updated":"2020-06-18T20:40:28Z","snapshot_observed_at":"2026-08-10T22:50:02.117869Z","submitted_at":"2020-06-18T20:40:28Z","title":"Reflected Entropy for an Evaporating Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.10846","snapshot_observed_at":"2026-08-10T18:23:40.252259Z","title":"Reflected Entropy for an Evaporating Black Hole,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.252259Z"},"links":{"cited_paper":"/paper/2006.10846","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:fb7b51679f2f45cfefb7b6a69f9d601981085c0db3c1606c4a56096b5c041425","observation_id":"445211a2-b38f-473d-b9ca-70d3a6974a65","resolution":{"observed_at":"2026-08-10T18:23:40.252259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.08544","last_updated":"2021-08-19T08:15:49Z","snapshot_observed_at":"2026-07-06T11:39:34.310174Z","submitted_at":"2021-08-19T08:15:49Z","title":"Defect Extremal Surface for Reflected Entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.08544","snapshot_observed_at":"2026-08-10T18:23:40.312195Z","title":"Defect extremal surface for reflected entropy,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.312195Z"},"links":{"cited_paper":"/paper/2108.08544","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:47d9b6535abdc71582771bc325c7db297b7400577d06067a544f1b559f4e9f7e","observation_id":"92bd3ab0-ca6b-4216-9222-8b053c2ad5bf","resolution":{"observed_at":"2026-08-10T18:23:40.312195Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08950","last_updated":"2020-02-20T18:58:54Z","snapshot_observed_at":"2026-08-09T21:45:22.365879Z","submitted_at":"2020-02-20T18:58:54Z","title":"Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08950","snapshot_observed_at":"2026-08-10T18:23:40.349140Z","title":"Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.349140Z"},"links":{"cited_paper":"/paper/2002.08950","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:48c90c02d6b7d08fdc5fc632d3d4ad89cabd816c93600fcab500d01d537d1ee0","observation_id":"54827fee-3339-4882-bd9c-5763d62b5230","resolution":{"observed_at":"2026-08-10T18:23:40.349140Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.00972","last_updated":"2019-12-05T18:44:40Z","snapshot_observed_at":"2026-08-10T08:51:18.061135Z","submitted_at":"2019-10-02T14:20:07Z","title":"Simple holographic models of black hole evaporation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.00972","snapshot_observed_at":"2026-08-10T18:23:40.354158Z","title":"Simple holographic models of black hole evaporation,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.354158Z"},"links":{"cited_paper":"/paper/1910.00972","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f294c30dc23541874fad9c7627fa556e4d0fa0677ba341b52d7a6b531b30dbe7","observation_id":"7484e57e-eefa-4269-ab5c-8bda21b67e1e","resolution":{"observed_at":"2026-08-10T18:23:40.354158Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.06738","last_updated":"2020-08-19T16:34:28Z","snapshot_observed_at":"2026-08-09T22:54:17.776492Z","submitted_at":"2020-04-14T18:01:02Z","title":"Baby Universes, Holography, and the Swampland","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.06738","snapshot_observed_at":"2026-08-10T18:23:40.358854Z","title":"Baby Universes, Holography, and the Swampland,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.358854Z"},"links":{"cited_paper":"/paper/2004.06738","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d247dfaae497162588d78964075a3acad9c6510176fcc72b6de4ac0b60f8942c","observation_id":"6e5afb3c-fb65-4895-8082-a92c407790a9","resolution":{"observed_at":"2026-08-10T18:23:40.358854Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.07107","last_updated":"2022-05-16T05:00:28Z","snapshot_observed_at":"2026-07-06T12:08:11.047134Z","submitted_at":"2021-11-13T12:41:42Z","title":"A comment on a fine-grained description of evaporating black holes with baby universes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.07107","snapshot_observed_at":"2026-08-10T18:23:40.364065Z","title":"A comment on a fine-grained description of evaporating black holes with baby universes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.364065Z"},"links":{"cited_paper":"/paper/2111.07107","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:144e589f44e97efd4d3ae95f9d1a55d4ef3106cb7a85d5f93e3a52564deb09b7","observation_id":"370e70dd-b79f-4019-a6ca-76577fb3b52c","resolution":{"observed_at":"2026-08-10T18:23:40.364065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.14856","last_updated":"2021-11-29T19:00:00Z","snapshot_observed_at":"2026-07-06T12:13:17.374586Z","submitted_at":"2021-11-29T19:00:00Z","title":"Baby universes, ensemble averages and factorizations with matters","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.14856","snapshot_observed_at":"2026-08-10T18:23:40.368766Z","title":"Baby universes, ensemble averages and factorizations with matters,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.368766Z"},"links":{"cited_paper":"/paper/2111.14856","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:e61d33af915ca46560f25e3c0d43c57f56f8fec702f708eee0a030d111848774","observation_id":"7b88e710-0c0a-497d-bb24-c0690f41602d","resolution":{"observed_at":"2026-08-10T18:23:40.368766Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.06404","last_updated":"2021-12-14T18:24:55Z","snapshot_observed_at":"2026-08-06T18:36:35.339681Z","submitted_at":"2021-11-11T19:00:00Z","title":"Disorder Averaging and its UV (Dis)Contents","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.06404","snapshot_observed_at":"2026-08-10T18:23:40.374214Z","title":"Disorder averaging and its UV discontents,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.374214Z"},"links":{"cited_paper":"/paper/2111.06404","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:3e85dba0488b41178616f091c3ed3f55f4bdce696368ad2528e288ef623dbdfe","observation_id":"a081b189-210e-4f12-ae3b-73b7c630a464","resolution":{"observed_at":"2026-08-10T18:23:40.374214Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.02900","last_updated":"2020-06-30T17:20:14Z","snapshot_observed_at":"2026-08-04T21:29:15.590793Z","submitted_at":"2020-04-06T18:00:06Z","title":"Wormhole calculus, replicas, and entropies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.02900","snapshot_observed_at":"2026-08-10T18:23:40.379258Z","title":"Wormhole calculus, replicas, and entropies,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.379258Z"},"links":{"cited_paper":"/paper/2004.02900","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f33112fda426b1628e6681255b4e9c4c334b2683e3466b498761b52b6ad90036","observation_id":"22060f75-5c20-4ce7-a8de-2d386417848e","resolution":{"observed_at":"2026-08-10T18:23:40.379258Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.06602","last_updated":"2020-10-13T18:00:08Z","snapshot_observed_at":"2026-08-11T02:54:40.736510Z","submitted_at":"2020-10-13T18:00:08Z","title":"Observations of Hawking radiation: the Page curve and baby universes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.06602","snapshot_observed_at":"2026-08-10T18:23:40.383897Z","title":"Observations of Hawking radiation: the Page curve and baby universes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.383897Z"},"links":{"cited_paper":"/paper/2010.06602","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:22ea2a81d7682fb9456eb0b586f64f08b22a849ac9d14ce8abaaebd47879155d","observation_id":"9b0b4d86-5bd5-46d4-bbf2-52b89ad7f450","resolution":{"observed_at":"2026-08-10T18:23:40.383897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.16091","last_updated":"2021-12-03T03:08:15Z","snapshot_observed_at":"2026-07-06T09:43:32.904258Z","submitted_at":"2020-07-31T14:11:41Z","title":"Bra-ket wormholes in gravitationally prepared states","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.16091","snapshot_observed_at":"2026-08-10T18:23:40.388947Z","title":"Bra-ket wormholes in gravitationally prepared states,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.388947Z"},"links":{"cited_paper":"/paper/2007.16091","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:8247b66cf500076c9dbc7fc21e1290abf9375024bb72ec146c3fd58b5c68214a","observation_id":"5e564526-d2a9-4cf8-bba7-aea8fb94e86d","resolution":{"observed_at":"2026-08-10T18:23:40.388947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.12962","last_updated":"2021-08-30T14:34:29Z","snapshot_observed_at":"2026-08-04T18:06:32.487040Z","submitted_at":"2020-11-25T19:00:00Z","title":"Four coupled SYK models and Nearly AdS$_2$ gravities: Phase Transitions in Traversable wormholes and in Bra-ket wormholes","version":2},"cited_work":{"arxiv_id":"2011.12962","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.12962","snapshot_observed_at":"2026-08-10T18:23:42.872163Z","title":"Four coupled SYK models and Nearly AdS$_2$ gravities: Phase Transitions in Traversable wormholes and in Bra-ket wormholes","venue":"hep-th","work_id":"efefdf55-f314-43f0-87fb-225edb73dcc2","year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.393334Z"},"links":{"cited_paper":"/paper/2011.12962","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:6cc17abcb4b84f0f2a232212258020ee1d098c05928306301c4ea5e7d80c8ce2","observation_id":"78277168-b342-4a60-abdc-c667ce23a974","resolution":{"observed_at":"2026-08-10T18:23:42.877933Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.12005","last_updated":"2020-12-02T12:04:01Z","snapshot_observed_at":"2026-08-02T05:06:07.530027Z","submitted_at":"2020-11-24T10:19:41Z","title":"Entanglement entropy in holographic moving mirror and Page curve","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.12005","snapshot_observed_at":"2026-08-10T18:23:40.398003Z","title":"Entanglement Entropy in a Holographic Moving Mirror and the Page Curve,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.398003Z"},"links":{"cited_paper":"/paper/2011.12005","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:93a0d0422735e10af8c1ec9b617b229e03130faa318493983a63fc84077a6cec","observation_id":"786f24c1-0c92-4738-9e24-5ea746e04e72","resolution":{"observed_at":"2026-08-10T18:23:40.398003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.01230","last_updated":"2021-09-29T10:16:30Z","snapshot_observed_at":"2026-07-06T10:45:45.288664Z","submitted_at":"2021-03-01T19:00:01Z","title":"Moving mirrors, Page curves and bulk entropies in AdS$_2$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.01230","snapshot_observed_at":"2026-08-10T18:23:40.403019Z","title":"Moving Mirrors, Page Curves, and Bulk Entropies in AdS2,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.403019Z"},"links":{"cited_paper":"/paper/2103.01230","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:52da2cde3a407a3d2b0614cf8776805a4cdb979ea8e480f71ca9cd70921df63a","observation_id":"3033cd0b-8920-4ad6-8c49-0ee00d2e2e13","resolution":{"observed_at":"2026-08-10T18:23:40.403019Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.13147","last_updated":"2020-04-18T09:53:31Z","snapshot_observed_at":"2026-08-04T03:02:24.133847Z","submitted_at":"2020-03-29T21:43:44Z","title":"Replica wormhole and information retrieval in the SYK model coupled to Majorana chains","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.13147","snapshot_observed_at":"2026-08-10T18:23:40.407686Z","title":"Replica wormhole and information retrieval in the SYK model coupled to Majorana chains,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.407686Z"},"links":{"cited_paper":"/paper/2003.13147","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:b52726c4412bbeb147828e2996c0dbc79ce17b81f5471fc6890de9dff6c016de","observation_id":"3b70fd33-aed1-41d4-a0c5-1587905a6616","resolution":{"observed_at":"2026-08-10T18:23:40.407686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.16754","last_updated":"2021-03-31T01:26:09Z","snapshot_observed_at":"2026-08-09T07:54:48.500232Z","submitted_at":"2021-03-31T01:26:09Z","title":"Wormholes without averaging","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.16754","snapshot_observed_at":"2026-08-10T18:23:40.412317Z","title":"Wormholes without averaging,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.412317Z"},"links":{"cited_paper":"/paper/2103.16754","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:e599d24a0bdc4f2d7df6dffe25e3ac3bde66a9540cf115e30263726e2d5692e0","observation_id":"1d9f23d2-b0a0-4c5f-9860-fbb644bfc56b","resolution":{"observed_at":"2026-08-10T18:23:40.412317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.06298","last_updated":"2022-07-27T04:06:25Z","snapshot_observed_at":"2026-07-06T12:07:38.656248Z","submitted_at":"2021-11-11T16:20:10Z","title":"The Entanglement Wedge of Unknown Couplings","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.06298","snapshot_observed_at":"2026-08-10T18:23:40.418030Z","title":"The Entanglement Wedge of Unknown Couplings,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.418030Z"},"links":{"cited_paper":"/paper/2111.06298","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d77f5209b9c0639ae95255eb4b04a3a2ae59616f2a9d3b103f2b02183e12ab29","observation_id":"0ff1239a-9836-4e83-822c-0ee326b69a33","resolution":{"observed_at":"2026-08-10T18:23:40.418030Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.08158","last_updated":"2021-03-09T16:00:20Z","snapshot_observed_at":"2026-08-05T04:27:22.367515Z","submitted_at":"2020-11-16T18:30:19Z","title":"Note on entropy dynamics in the Brownian SYK model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.08158","snapshot_observed_at":"2026-08-10T18:23:40.423178Z","title":"Note on entropy dynamics in the Brownian SYK model,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.423178Z"},"links":{"cited_paper":"/paper/2011.08158","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:61b04e7ea6e81e2677458352e9aba052b0c61dab075eb09fb3b736108d7a5e01","observation_id":"751dfdee-09c9-4a9b-9caf-e34933e9cc0c","resolution":{"observed_at":"2026-08-10T18:23:40.423178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.06770","last_updated":"2020-07-20T17:32:42Z","snapshot_observed_at":"2026-08-05T06:34:13.205627Z","submitted_at":"2020-07-14T02:08:49Z","title":"Time dependent Entanglement Entropy in SYK models and Page Curve","version":2},"cited_work":{"arxiv_id":"2007.06770","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.06770","snapshot_observed_at":"2026-08-10T18:23:42.757305Z","title":"Time dependent Entanglement Entropy in SYK models and Page Curve","venue":"hep-th","work_id":"d51d248f-1a6d-47fb-8b5f-3d8575250b91","year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.428663Z"},"links":{"cited_paper":"/paper/2007.06770","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:ca8c988ec459ce60d0aa5e54708fe7ff71c60ed3f15a4c4d005af75ab6807401","observation_id":"59c835c2-4511-413d-81cf-d65cfab5ec66","resolution":{"observed_at":"2026-08-10T18:23:42.762241Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.02425","last_updated":"2021-06-01T01:03:30Z","snapshot_observed_at":"2026-08-09T03:24:50.248695Z","submitted_at":"2021-02-04T05:55:05Z","title":"Probing Hawking radiation through capacity of entanglement","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.02425","snapshot_observed_at":"2026-08-10T18:23:40.448793Z","title":"Probing Hawking radiation through capacity of entanglement,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.448793Z"},"links":{"cited_paper":"/paper/2102.02425","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:3427a16ce35123fda0998a357950e36f948b92eea8c7e88407cc07df1d5ed257","observation_id":"bd0cc60d-e0e5-4000-9118-ee95b27513ac","resolution":{"observed_at":"2026-08-10T18:23:40.448793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.08396","last_updated":"2021-10-25T12:33:07Z","snapshot_observed_at":"2026-07-06T11:10:23.958247Z","submitted_at":"2021-05-18T09:48:25Z","title":"Replica wormholes and capacity of entanglement","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.08396","snapshot_observed_at":"2026-08-10T18:23:40.492199Z","title":"Replica wormholes and capacity of entanglement,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.492199Z"},"links":{"cited_paper":"/paper/2105.08396","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:3ceacec6b4275ed896ef5c7af2e3cd845133cbceecd1f638a2dc99942ca55be2","observation_id":"05d32dc9-1d00-499f-af0c-eb5b0a0addb7","resolution":{"observed_at":"2026-08-10T18:23:40.492199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.16339","last_updated":"2024-06-24T06:23:54Z","snapshot_observed_at":"2026-07-06T18:35:49.991098Z","submitted_at":"2024-06-24T06:23:54Z","title":"Replica R\\'enyi Wormholes and Generalised Modular Entropy in JT Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.16339","snapshot_observed_at":"2026-08-10T18:23:40.505915Z","title":"Replica Rényi Wormholes and Generalised Modular Entropy in JT Gravity,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.505915Z"},"links":{"cited_paper":"/paper/2406.16339","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d49a385cf4091ceef219930c0fe28c72e0780a00c4309bc080b5bf955016da05","observation_id":"591f391f-d26a-482b-9735-5b7b4784ff3c","resolution":{"observed_at":"2026-08-10T18:23:40.505915Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04877","last_updated":"2020-07-09T15:27:19Z","snapshot_observed_at":"2026-07-06T09:36:54.739609Z","submitted_at":"2020-07-09T15:27:19Z","title":"Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity","version":1},"cited_work":{"arxiv_id":"2007.04877","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.04877","snapshot_observed_at":"2026-08-10T18:23:42.677753Z","title":"Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity","venue":"hep-th","work_id":"ccce555e-cce8-40c8-989d-55908e4f26cb","year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.571548Z"},"links":{"cited_paper":"/paper/2007.04877","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:29aec05519b88d1187bc6b3da64a0a280b9b623511a16be387ea42a432aa1ea0","observation_id":"5feeac2a-c5ca-4016-bbdc-3992c3a0e158","resolution":{"observed_at":"2026-08-10T18:23:42.683097Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2005.08715","last_updated":"2021-02-17T17:44:04Z","snapshot_observed_at":"2026-08-08T20:52:19.378458Z","submitted_at":"2020-05-18T13:44:03Z","title":"Island in the Presence of Higher Derivative Terms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.08715","snapshot_observed_at":"2026-08-10T18:23:40.598321Z","title":"Island in the Presence of Higher Derivative Terms,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.598321Z"},"links":{"cited_paper":"/paper/2005.08715","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:78b969500256f8ceb49beb0897bf743a3eee0efe59ca84370185a10efc5ceedb","observation_id":"c508c4f5-5344-4b06-ad00-91d3db7cfa69","resolution":{"observed_at":"2026-08-10T18:23:40.598321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.09106","last_updated":"2021-05-19T12:57:52Z","snapshot_observed_at":"2026-07-06T11:10:52.058624Z","submitted_at":"2021-05-19T12:57:52Z","title":"Page Curve from Defect Extremal Surface and Island in Higher Dimensions","version":1},"cited_work":{"arxiv_id":"2105.09106","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.09106","snapshot_observed_at":"2026-08-10T18:23:42.638754Z","title":"Page Curve from Defect Extremal Surface and Island in Higher Dimensions","venue":"hep-th","work_id":"99d86627-b3c9-491d-a951-ed44e12b7e90","year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.603948Z"},"links":{"cited_paper":"/paper/2105.09106","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:17b7d93275092e16f29074b9de8de6dc8064245913cc7aeda8f8003ccc2700f0","observation_id":"eb893fee-42c1-4aed-83d2-ca13da79c296","resolution":{"observed_at":"2026-08-10T18:23:42.644105Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.13782","last_updated":"2021-12-27T16:53:06Z","snapshot_observed_at":"2026-08-10T23:36:52.355496Z","submitted_at":"2021-12-27T16:53:06Z","title":"Partial Reduction and Cosmology at Defect Brane","version":1},"cited_work":{"arxiv_id":"2112.13782","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.13782","snapshot_observed_at":"2026-08-10T18:23:42.615742Z","title":"Partial Reduction and Cosmology at Defect Brane","venue":"hep-th","work_id":"0c7655c7-49cb-4de8-bc48-d189cd28a687","year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.609288Z"},"links":{"cited_paper":"/paper/2112.13782","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:43d02988fb0c6799d4b64d5d3c9d2e0efea524b21545d6fa6956521ec1a3ea5f","observation_id":"8c22f595-038a-4461-b19e-606f9f277494","resolution":{"observed_at":"2026-08-10T18:23:42.620979Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.09609","last_updated":"2022-06-20T07:40:35Z","snapshot_observed_at":"2026-07-06T13:22:35.494601Z","submitted_at":"2022-06-20T07:40:35Z","title":"JT Gravity from Partial Reduction and Defect Extremal Surface","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.09609","snapshot_observed_at":"2026-08-10T18:23:40.614465Z","title":"JT gravity from partial reduction and defect extremal surface,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.614465Z"},"links":{"cited_paper":"/paper/2206.09609","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:6b4a1fefe028c6527005085a6d873a8e86f4afe36270802940569fb05ee7abfb","observation_id":"1d3acace-ff45-4b88-8dcb-517653f2c8b0","resolution":{"observed_at":"2026-08-10T18:23:40.614465Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.15031","last_updated":"2023-10-23T15:29:45Z","snapshot_observed_at":"2026-08-10T04:51:14.900055Z","submitted_at":"2023-10-23T15:29:45Z","title":"End of the World Brane meets $T\\bar{T}$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.15031","snapshot_observed_at":"2026-08-10T18:23:40.619020Z","title":"End of the world brane meetsT ¯T,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.619020Z"},"links":{"cited_paper":"/paper/2310.15031","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:1c6806f30ac1e92fe876582268d0b178d2e9de4eabe0b6fd9d0a6b8faee2f8fa","observation_id":"9994c309-07fe-4554-8e70-e896dc07d19e","resolution":{"observed_at":"2026-08-10T18:23:40.619020Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.05863","last_updated":"2020-06-24T04:34:55Z","snapshot_observed_at":"2026-08-07T02:52:24.684156Z","submitted_at":"2020-04-13T10:55:33Z","title":"Islands in Schwarzschild black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.05863","snapshot_observed_at":"2026-08-10T18:23:40.623623Z","title":"Islands in Schwarzschild black holes,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.623623Z"},"links":{"cited_paper":"/paper/2004.05863","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f04cad1960fb42caea3e60f81087a1af0c1f66587fa1573814051f24153e9371","observation_id":"0f4af54f-9ec7-4adc-975d-a6b7bbe55a3d","resolution":{"observed_at":"2026-08-10T18:23:40.623623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.06867","last_updated":"2021-03-29T15:12:09Z","snapshot_observed_at":"2026-08-11T02:54:28.729175Z","submitted_at":"2021-01-18T04:07:56Z","title":"Islands and Page curves of Reissner-Nordstr\\\"om black holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.06867","snapshot_observed_at":"2026-08-10T18:23:40.627913Z","title":"Islands and Page curves of Reissner-Nrdstr¨om black holes,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.627913Z"},"links":{"cited_paper":"/paper/2101.06867","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:65d249d20724eb42df6eb3853b22a7c115a393728b0105964e4b7700c0540c99","observation_id":"e2a01210-fc1a-42cd-90b1-5ab6ca66004c","resolution":{"observed_at":"2026-08-10T18:23:40.627913Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09574","last_updated":"2024-11-14T16:32:35Z","snapshot_observed_at":"2026-07-06T19:50:29.247307Z","submitted_at":"2024-11-14T16:32:35Z","title":"Islands for black holes in a hybrid quantum state","version":1},"cited_work":{"arxiv_id":"2411.09574","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.09574","snapshot_observed_at":"2026-08-10T18:23:42.525872Z","title":"Islands for black holes in a hybrid quantum state","venue":"hep-th","work_id":"1db5170a-73b8-4533-8fc4-ca7adf24ef20","year":2024},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.632494Z"},"links":{"cited_paper":"/paper/2411.09574","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:17cd828f2da85283ffbeca706404f9cd00f4ddf3a8522dd8a92be91bc5a7bcc4","observation_id":"4b6674fa-d601-4276-a2fe-04d7486c162b","resolution":{"observed_at":"2026-08-10T18:23:42.531022Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07312","last_updated":"2024-10-30T12:20:20Z","snapshot_observed_at":"2026-08-08T11:59:29.435400Z","submitted_at":"2024-10-09T18:00:00Z","title":"Replica analysis of entanglement properties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.07312","snapshot_observed_at":"2026-08-10T18:23:40.637300Z","title":"Replica analysis of entanglement properties,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.637300Z"},"links":{"cited_paper":"/paper/2410.07312","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:04d42b260a3036fdf07cfa3e32b7fecd35165370ec0e6c6f620d6d39166905a1","observation_id":"64fe2bdc-a3e0-49e5-932e-e0104b2414cc","resolution":{"observed_at":"2026-08-10T18:23:40.637300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01409","last_updated":"2024-11-17T21:49:29Z","snapshot_observed_at":"2026-08-08T19:49:41.767983Z","submitted_at":"2024-09-02T18:11:08Z","title":"Finite entangling regions and information paradox in charged black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.01409","snapshot_observed_at":"2026-08-10T18:23:40.642640Z","title":"Finite entangling regions and information paradox in charged black holes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.642640Z"},"links":{"cited_paper":"/paper/2409.01409","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:68fb84ad3e72fe73c7873ef63faeadffdc42d4904b89a8d5ec0b919f52604896","observation_id":"ea985674-d06f-41fe-878e-2808638ab14a","resolution":{"observed_at":"2026-08-10T18:23:40.642640Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.18122","last_updated":"2023-12-21T03:05:54Z","snapshot_observed_at":"2026-07-06T15:34:47.996817Z","submitted_at":"2023-05-29T14:36:06Z","title":"Entanglement entropy analysis of dyonic black holes using doubly holographic theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.18122","snapshot_observed_at":"2026-08-10T18:23:40.647507Z","title":"Entanglement entropy analysis of dyonic black holes using doubly holographic theory,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.647507Z"},"links":{"cited_paper":"/paper/2305.18122","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:bc0fedf271a7e5b1cfc186e37f716160369064ed4201300a1c1282d289894c65","observation_id":"c83b43c6-2cde-4d20-af3a-b905d625023d","resolution":{"observed_at":"2026-08-10T18:23:40.647507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.09243","last_updated":"2022-02-06T21:18:40Z","snapshot_observed_at":"2026-08-04T10:07:41.568164Z","submitted_at":"2021-09-19T22:37:11Z","title":"Reflected Entropy in Double Holography","version":3},"cited_work":{"arxiv_id":"2109.09243","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.09243","snapshot_observed_at":"2026-08-10T18:23:42.452981Z","title":"Reflected Entropy in Double Holography","venue":"hep-th","work_id":"2399de9b-ebbf-4dd1-a4a9-b3cd49bf6c27","year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.673973Z"},"links":{"cited_paper":"/paper/2109.09243","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:2a5acc69bf93820abe9bf0166a36c92862b4d044f82861e81ce2053aa587fccb","observation_id":"5bd80c57-2352-4278-9cc3-fe18f261941e","resolution":{"observed_at":"2026-08-10T18:23:42.458762Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14596","last_updated":"2022-11-08T07:40:14Z","snapshot_observed_at":"2026-07-06T13:15:06.869587Z","submitted_at":"2022-05-29T08:19:20Z","title":"Black holes Entangled by Radiation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.14596","snapshot_observed_at":"2026-08-10T18:23:40.700509Z","title":"Black holes Entangled by Radiation,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.700509Z"},"links":{"cited_paper":"/paper/2205.14596","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f1d1b8fc60b80ae40b948006826eb2fee266c91ce1a6712a9db271e31e34af59","observation_id":"0c79e311-b1fa-4bea-a16a-f86fed2df115","resolution":{"observed_at":"2026-08-10T18:23:40.700509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.08025","last_updated":"2023-12-13T09:58:38Z","snapshot_observed_at":"2026-07-06T17:01:00.985811Z","submitted_at":"2023-12-13T09:58:38Z","title":"Entanglement of defect subregions in double holography","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.08025","snapshot_observed_at":"2026-08-10T18:23:40.730146Z","title":"Entanglement of defect subregions in double holography,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.730146Z"},"links":{"cited_paper":"/paper/2312.08025","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:c6650d030c9a174d2b2f14a7d9e6dc867f8476c3f3db17d7c79395eeeaee36bb","observation_id":"19cae0a7-d2df-44f1-a930-a977dc5058eb","resolution":{"observed_at":"2026-08-10T18:23:40.730146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04706","last_updated":"2024-08-12T11:05:40Z","snapshot_observed_at":"2026-08-03T11:32:11.664741Z","submitted_at":"2024-01-09T18:09:00Z","title":"Entanglement inside a black hole before the Page time","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04706","snapshot_observed_at":"2026-08-10T18:23:40.761235Z","title":"Entanglement inside a black hole before the Page time,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.761235Z"},"links":{"cited_paper":"/paper/2401.04706","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:f9973ae36e6790232ed934604624e65bf433f401cf670c1fcf5b82de0caef177","observation_id":"67fd063d-5826-4aff-9adb-a40a2c1c7a18","resolution":{"observed_at":"2026-08-10T18:23:40.761235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.06682","last_updated":"2024-06-12T04:18:07Z","snapshot_observed_at":"2026-08-09T17:49:07.898377Z","submitted_at":"2023-06-11T13:57:08Z","title":"Island of Reissner-Nordstr$\\mathbf{\\ddot{o}}$m anti-de Sitter black holes in the large $d$ limit","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.06682","snapshot_observed_at":"2026-08-10T18:23:40.793211Z","title":"Island of Reissner-Nordstr¨om anti-de Sitter black holes in the large d limit,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.793211Z"},"links":{"cited_paper":"/paper/2306.06682","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:cb22d1468c63b9555305b36415a57eee0d32b9f93a39d917e2a7089cea00e992","observation_id":"2b7e3b65-87de-4b08-b6b7-74ce7d155af9","resolution":{"observed_at":"2026-08-10T18:23:40.793211Z","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":"2026-08-10T18:23:40.826414Z","title":"Graviton Mass and Entanglement Islands in Low Spacetime Dimensions,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.826414Z"},"links":{"citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:edafbf6cc05e153efc2b6a534bf013605e3afd8f8b63c10cbf00765734b14a67","observation_id":"aa1c273e-26ec-4493-b32e-e9a3f0e9a494","resolution":{"observed_at":"2026-08-10T18:23:40.826414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.03390","last_updated":"2021-12-22T11:31:55Z","snapshot_observed_at":"2026-08-10T16:37:56.592114Z","submitted_at":"2021-07-07T18:00:00Z","title":"Inconsistency of Islands in Theories with Long-Range Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.03390","snapshot_observed_at":"2026-08-10T18:23:40.831292Z","title":"Inconsistency of islands in theories with long-range gravity,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.831292Z"},"links":{"cited_paper":"/paper/2107.03390","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:a6862b03aee783b87af2f08e211417512b1f2e9334fa5355fd755b927ab12d5b","observation_id":"685ac3fd-3938-4710-bda5-a7bf84f6f119","resolution":{"observed_at":"2026-08-10T18:23:40.831292Z","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":"2026-08-10T18:23:40.836025Z","title":"Information paradox and its resolution in de Sitter holography,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.836025Z"},"links":{"citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:7d59ae9f28d453ec5081ebfc841502e07c69246b19269657923e147dcc55751f","observation_id":"d07d5921-76b4-4068-8424-4ff48727d273","resolution":{"observed_at":"2026-08-10T18:23:40.836025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.03031","last_updated":"2021-07-18T02:16:29Z","snapshot_observed_at":"2026-08-11T02:54:33.004598Z","submitted_at":"2021-07-07T06:19:43Z","title":"Page Curves and Islands in Charged Dilaton Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.03031","snapshot_observed_at":"2026-08-10T18:23:40.841061Z","title":"Islands and Page curves in charged dilaton black holes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.841061Z"},"links":{"cited_paper":"/paper/2107.03031","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:ca859f0db01f3344f9937207d5477fb3b3803f80c45f8c237542281405c135d5","observation_id":"38a8041b-fd7a-4bb4-88fa-96413507e470","resolution":{"observed_at":"2026-08-10T18:23:40.841061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14361","last_updated":"2022-01-05T12:22:11Z","snapshot_observed_at":"2026-08-02T13:39:14.941708Z","submitted_at":"2021-12-29T01:52:57Z","title":"Island, Page Curve and Superradiance of Rotating BTZ Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14361","snapshot_observed_at":"2026-08-10T18:23:40.846066Z","title":"Island, Page curve, and superradiance of rotating BTZ black holes,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity","version":2},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-10T18:23:40.846066Z"},"links":{"cited_paper":"/paper/2112.14361","citing_paper":"/paper/2501.11474"},"observation_digest":"sha256:d6bf9e75d951ac8c4f06e5f3acf7606f9f23f28481e8856041608da10c280871","observation_id":"46d9f723-69b6-4caa-92f0-9abdbc009c11","resolution":{"observed_at":"2026-08-10T18:23:40.846066Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.11474","last_updated":"2025-04-23T00:54:45Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-11T02:34:13.932776Z","submitted_at":"2025-01-20T13:03:37Z","title":"Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":90,"verified_exact":10,"verified_fuzzy":0},"total_outbound_references":139},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 100 of 139 outbound references and 2 inbound Pith citation observations for arXiv:2501.11474."}