{"as_of":"2026-08-11T01:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7bff02505e6370ad65c318b477d3a2900f97dac172a4e8ce7c429ee3013b4183","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:55:03.551789Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-07T15:47:40.619474Z","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":"2026-05-12T00:06:18.292028Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"cited_work":{"arxiv_id":"2506.20959","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.20959","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Cui and Z.-Y","venue":null,"work_id":"574d2ab9-2495-4e81-826e-85ac3c847273","year":2025},"citing_paper":{"arxiv_id":"2604.25518","last_updated":"2026-04-28T11:34:04Z","snapshot_observed_at":"2026-07-06T23:11:21.433834Z","submitted_at":"2026-04-28T11:34:04Z","title":"Criticality of ISCOs and AdS/CFT","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-07T15:47:40.619474Z"},"links":{"cited_paper":"/paper/2506.20959","citing_paper":"/paper/2604.25518"},"observation_digest":"sha256:8d4aea871e8622f5a28e1a9fbce232041ec006987a81617c17d6e9c53749cb16","observation_id":"96db4fff-0eb5-4a4a-8896-371c6bf4d94e","resolution":{"observed_at":"2026-05-12T00:06:18.295096Z","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/2506.20959/citation-record","integrity":"/paper/2506.20959/integrity","json":"/paper/2506.20959/citation-record.json","paper":"/paper/2506.20959"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1205.0559","last_updated":"2012-09-06T17:50:27Z","snapshot_observed_at":"2026-07-06T02:47:26.606786Z","submitted_at":"2012-05-02T20:09:25Z","title":"P-V criticality of charged AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.0559","snapshot_observed_at":"2026-08-06T22:55:03.425507Z","title":"Kubiznak and R","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.425507Z"},"links":{"cited_paper":"/paper/1205.0559","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:e081420ffcbf8cb517dc54339c333b0c6f701ef10eca04c5d023c5f0fa2cdf19","observation_id":"c0903a3d-2ca3-451f-a177-a9191a574e67","resolution":{"observed_at":"2026-08-06T22:55:03.425507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.02472","last_updated":"2015-11-02T18:02:25Z","snapshot_observed_at":"2026-07-06T04:32:29.791389Z","submitted_at":"2015-10-08T20:04:01Z","title":"Holographic Black Hole Chemistry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.02472","snapshot_observed_at":"2026-08-06T22:55:03.431581Z","title":"Karch and B","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.431581Z"},"links":{"cited_paper":"/paper/1510.02472","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:e4f4d086fc44706ab59142e67c8c5b7b329c38746e6a6298d2bc93b10fa83f20","observation_id":"7fdf70ea-4bbe-4411-9fc6-bffffd981829","resolution":{"observed_at":"2026-08-06T22:55:03.431581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:55:04.087915Z","title":null,"venue":null,"work_id":"dc231932-6d42-42da-9ae1-c914d8869bcc","year":2015},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.436975Z"},"links":{"citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:483d475c402718a197e205ff47ef13eff3f7430a492eaaa95d35ddaea606ea5d","observation_id":"c8caab55-5215-49fa-a580-7c897180c51e","resolution":{"observed_at":"2026-08-06T22:55:04.092763Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:55:04.072754Z","title":null,"venue":null,"work_id":"96a3f2a7-4cd1-43e6-bb3b-5cbaba647b23","year":2019},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.442697Z"},"links":{"citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:4db883f73bc14e9ebf93c48872e7f925620a916c3357b1df4353487749755d8a","observation_id":"bc4eafd9-6b12-4084-b964-78144c44858c","resolution":{"observed_at":"2026-08-06T22:55:04.077687Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"1012.2888","last_updated":"2011-04-20T14:38:26Z","snapshot_observed_at":"2026-08-04T04:52:34.797168Z","submitted_at":"2010-12-13T21:40:12Z","title":"Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.2888","snapshot_observed_at":"2026-08-06T22:55:03.447492Z","title":"Cvetic, G","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.447492Z"},"links":{"cited_paper":"/paper/1012.2888","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:25ca7f37298b62f0c79e9ef1a4ca5fd339f03c531cc3fc3e8b39a5e86449d7a1","observation_id":"158edf4a-3d6f-4d27-a251-6d316b45da16","resolution":{"observed_at":"2026-08-06T22:55:03.447492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.03011","last_updated":"2023-12-12T14:28:24Z","snapshot_observed_at":"2026-07-06T15:51:04.777897Z","submitted_at":"2023-07-06T14:20:31Z","title":"Entropy Bounds for Rotating AdS Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.03011","snapshot_observed_at":"2026-08-06T22:55:03.452631Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.452631Z"},"links":{"cited_paper":"/paper/2307.03011","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:a9fca146ea73cb44cb04fa045f89a4c5b65be85f1c38553d8bdc9621eb102b3d","observation_id":"ea7c9798-6c4a-4d3d-9a25-b1e9eb82b605","resolution":{"observed_at":"2026-08-06T22:55:03.452631Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.11886","last_updated":"2024-12-08T05:02:01Z","snapshot_observed_at":"2026-07-06T16:09:21.043575Z","submitted_at":"2023-08-23T03:19:43Z","title":"Thermodynamic nature of black holes in coexistence region","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.11886","snapshot_observed_at":"2026-08-06T22:55:03.458239Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.458239Z"},"links":{"cited_paper":"/paper/2308.11886","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:70dffbd509bfa512bcc3148c1a1341ae2973955fe632a4fc273a457eb46a2b42","observation_id":"1be4c3b4-d8c0-4395-ac3e-99bb1add13e6","resolution":{"observed_at":"2026-08-06T22:55:03.458239Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.10808","last_updated":"2026-08-06T04:51:30Z","snapshot_observed_at":"2026-08-09T23:09:12.726663Z","submitted_at":"2025-06-12T15:24:13Z","title":"Universal supercritical thermodynamics for black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.10808","snapshot_observed_at":"2026-08-06T22:55:03.463436Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.463436Z"},"links":{"cited_paper":"/paper/2506.10808","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:7aa41cb071ee5918fd4741b2d17ecdbae616f3883a2f58d5006e648d2e43030c","observation_id":"5de2778c-3743-4a93-b637-e086a241ef99","resolution":{"observed_at":"2026-08-06T22:55:03.463436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.02223","last_updated":"2021-05-05T17:59:59Z","snapshot_observed_at":"2026-07-06T11:06:37.644813Z","submitted_at":"2021-05-05T17:59:59Z","title":"Thermodynamics of AdS Black Holes: Central Charge Criticality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.02223","snapshot_observed_at":"2026-08-06T22:55:03.468786Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.468786Z"},"links":{"cited_paper":"/paper/2105.02223","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:8d50280ad594957cb5e20cd0836d05191d589b51299ff781e447dfd0f056a422","observation_id":"12c01a3c-d2a6-4346-a70c-d190847ddd0b","resolution":{"observed_at":"2026-08-06T22:55:03.468786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14848","last_updated":"2022-08-19T06:44:33Z","snapshot_observed_at":"2026-07-06T12:23:25.526038Z","submitted_at":"2021-12-29T22:17:07Z","title":"Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14848","snapshot_observed_at":"2026-08-06T22:55:03.473624Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.473624Z"},"links":{"cited_paper":"/paper/2112.14848","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:abfc082d5508a36b849a0a337584e2b7f438024e269c545ddb01dadc7d1c9f61","observation_id":"1358a482-f825-43ad-b730-6b1483240a99","resolution":{"observed_at":"2026-08-06T22:55:03.473624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.05945","last_updated":"2024-04-16T02:10:27Z","snapshot_observed_at":"2026-08-09T13:13:47.800738Z","submitted_at":"2024-04-09T01:55:27Z","title":"Criticality of central charges for Gauss-Bonnet black holes","version":2},"cited_work":{"arxiv_id":"2404.05945","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.05945","snapshot_observed_at":"2026-08-06T22:55:03.905984Z","title":"Criticality of central charges for Gauss-Bonnet black holes","venue":"hep-th","work_id":"786b298b-eef6-4506-ae1b-116fde574ead","year":2024},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.479409Z"},"links":{"cited_paper":"/paper/2404.05945","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:ac3053c95fc483c2b9fc0b1fc7d4dbb5d1f213b06c4bee113ce82597218874d8","observation_id":"e5974ede-46c8-4650-8ba3-9b18f10afa9f","resolution":{"observed_at":"2026-08-06T22:55:03.911078Z","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":"2211.00925","last_updated":"2023-02-09T16:53:35Z","snapshot_observed_at":"2026-08-09T23:58:23.621437Z","submitted_at":"2022-11-02T07:18:58Z","title":"Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity","version":2},"cited_work":{"arxiv_id":"2211.00925","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.00925","snapshot_observed_at":"2026-08-06T22:55:03.882999Z","title":"Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity","venue":"gr-qc","work_id":"47f12d5c-028b-41da-98a9-f24c6ae5d897","year":2022},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.484730Z"},"links":{"cited_paper":"/paper/2211.00925","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:71c871067e58d65ba1652b1f7889e9bca0cb00a7e21a74f7d96f46406a6a674d","observation_id":"92657c0d-07e3-4516-bc50-60c6dbab1cab","resolution":{"observed_at":"2026-08-06T22:55:03.889503Z","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":"2407.13209","last_updated":"2024-07-25T06:28:32Z","snapshot_observed_at":"2026-08-06T11:49:21.240172Z","submitted_at":"2024-07-18T06:47:06Z","title":"Criticality of global monopole charges in diverse dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.13209","snapshot_observed_at":"2026-08-06T22:55:03.489798Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.489798Z"},"links":{"cited_paper":"/paper/2407.13209","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:197429db0532bced37a0ef3b036f6613b0027d7bb55a199e7b727a272350cf8f","observation_id":"82a233b3-6d49-491d-a5af-e62d91390b32","resolution":{"observed_at":"2026-08-06T22:55:03.489798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.3379","last_updated":"2013-05-15T07:32:02Z","snapshot_observed_at":"2026-07-06T03:13:24.479243Z","submitted_at":"2013-05-15T07:32:02Z","title":"Maxwell's equal area law for charged Anti-deSitter black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.3379","snapshot_observed_at":"2026-08-06T22:55:03.494587Z","title":"Spallucci and A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.494587Z"},"links":{"cited_paper":"/paper/1305.3379","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:4231795cc93ad888c752a01e40188c38db99a4286b3a730adc7232a0b27449ab","observation_id":"e57e1252-5a62-4ac8-9d67-e58e00e08b7e","resolution":{"observed_at":"2026-08-06T22:55:03.494587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.23188","last_updated":"2025-05-29T07:26:48Z","snapshot_observed_at":"2026-08-10T01:51:43.509287Z","submitted_at":"2025-05-29T07:26:48Z","title":"Critical phenomenon of quantum BTZ black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.23188","snapshot_observed_at":"2026-08-06T22:55:03.499146Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.499146Z"},"links":{"cited_paper":"/paper/2505.23188","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:77b6254eb86b6432abb445c23abdcfec014e92dace8648d4eb2de9e9301eadd9","observation_id":"8a9bbe78-3a98-4894-898d-83c537baa965","resolution":{"observed_at":"2026-08-06T22:55:03.499146Z","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":"qc/9808067","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:55:03.807170Z","title":null,"venue":null,"work_id":"409b8b60-86d5-4772-b335-e5c1a829e279","year":1999},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.504692Z"},"links":{"citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:c4235785a6e9c7ca7d1010394f5526999e4e725186248221d05fc6b90ce28ace","observation_id":"3ed407ad-4b91-416c-ba9c-66060ed4442c","resolution":{"observed_at":"2026-08-06T22:55:03.815583Z","resolver_source":"raw_fallback","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":"hep-th/9902170","last_updated":"1999-03-09T15:53:58Z","snapshot_observed_at":"2026-08-03T08:04:07.245723Z","submitted_at":"1999-02-24T00:58:47Z","title":"Charged AdS Black Holes and Catastrophic Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9902170","snapshot_observed_at":"2026-08-06T22:55:03.509117Z","title":"Chamblin, R","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.509117Z"},"links":{"cited_paper":"/paper/hep-th/9902170","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:f3329c384e1bcc936b59db44ae21affae4cf80a3762690b6f7f17160b723aa12","observation_id":"3c9c5bc4-868d-414e-9e2d-1155addc9141","resolution":{"observed_at":"2026-08-06T22:55:03.509117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1208.6251","last_updated":"2012-11-15T20:15:47Z","snapshot_observed_at":"2026-08-10T08:42:53.554258Z","submitted_at":"2012-08-30T18:21:30Z","title":"Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.6251","snapshot_observed_at":"2026-08-06T22:55:03.513866Z","title":"Gunasekaran, R","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.513866Z"},"links":{"cited_paper":"/paper/1208.6251","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:6a380fdaec4e7564e1a3c1d929972cba3b77b2ed0cbd5f75c55632ffcf9cf4a0","observation_id":"5f8d8c19-c881-4195-9bb5-0adaa5303e01","resolution":{"observed_at":"2026-08-06T22:55:03.513866Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0712.0805","last_updated":"2008-06-13T15:39:13Z","snapshot_observed_at":"2026-07-06T01:36:33.294493Z","submitted_at":"2007-12-05T20:51:34Z","title":"Viscosity Bound Violation in Higher Derivative Gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0712.0805","snapshot_observed_at":"2026-08-06T22:55:03.518815Z","title":"Brigante, H","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.518815Z"},"links":{"cited_paper":"/paper/0712.0805","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:95cc39b294bcc65505ba8e9a49d95bef5302e9d77f7e1b13663d6665a569f0a7","observation_id":"2cbf3d1d-3b0f-47ea-9e3c-971b009b1ebb","resolution":{"observed_at":"2026-08-06T22:55:03.518815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0911.3160","last_updated":"2010-02-09T00:23:19Z","snapshot_observed_at":"2026-08-04T18:25:49.652337Z","submitted_at":"2009-11-17T20:46:29Z","title":"Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.3160","snapshot_observed_at":"2026-08-06T22:55:03.523587Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.523587Z"},"links":{"cited_paper":"/paper/0911.3160","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:53f8eeb9ac882db7f733657a43826f06bfb815f7958b4071f2676350942c0321","observation_id":"8613dcfe-cb70-4a54-b623-fef4d326035e","resolution":{"observed_at":"2026-08-06T22:55:03.523587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.6233","last_updated":"2013-08-10T02:25:29Z","snapshot_observed_at":"2026-08-07T04:02:59.788178Z","submitted_at":"2013-06-26T13:24:52Z","title":"P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.6233","snapshot_observed_at":"2026-08-06T22:55:03.528299Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.528299Z"},"links":{"cited_paper":"/paper/1306.6233","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:29c14f3df347628249608fbbc805142431f0d500aef0dd9a44d8270fc970a2c1","observation_id":"cc479a16-b3e8-4563-91d5-71007a81d8e7","resolution":{"observed_at":"2026-08-06T22:55:03.528299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:55:04.055669Z","title":"Quantum BTZ black hole, Journal of High Energy Physics 2020.11 (2020): 1-43","venue":null,"work_id":"df6a2bfc-1998-4982-957b-f7d72497951b","year":2020},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.533116Z"},"links":{"citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:74333d70787277e4165efc3ef9d94a9b7fd30ca6cde9ffd484e4312cbdd21209","observation_id":"4c776b48-37e6-4378-b6f7-2e4df255c2fd","resolution":{"observed_at":"2026-08-06T22:55:04.060946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2212.14055","last_updated":"2023-04-20T06:42:08Z","snapshot_observed_at":"2026-08-11T01:05:22.133207Z","submitted_at":"2022-12-28T19:00:05Z","title":"Higher-dimensional origin of extended black hole thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.14055","snapshot_observed_at":"2026-08-06T22:55:03.537376Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.537376Z"},"links":{"cited_paper":"/paper/2212.14055","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:4e0d512d3a0d68f39090046700aa284a9533fdd4f2a981d283801e25285ab2f7","observation_id":"150393eb-b0d0-436e-807d-42ec58f2fed7","resolution":{"observed_at":"2026-08-06T22:55:03.537376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.12220","last_updated":"2024-06-14T21:27:07Z","snapshot_observed_at":"2026-07-06T16:35:15.777674Z","submitted_at":"2023-10-18T18:00:23Z","title":"Reentrant phase transitions of quantum black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.12220","snapshot_observed_at":"2026-08-06T22:55:03.542085Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.542085Z"},"links":{"cited_paper":"/paper/2310.12220","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:ec9dabe0e93e0fbb0912f1ca254907a2bdb9c0973092b23620f13893503b9946","observation_id":"40df98ce-27b5-4c1c-8290-0fce626f7076","resolution":{"observed_at":"2026-08-06T22:55:03.542085Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.13063","last_updated":"2025-01-21T15:48:07Z","snapshot_observed_at":"2026-08-03T09:22:54.097555Z","submitted_at":"2024-03-19T18:01:14Z","title":"Criticality and thermodynamic geometry of quantum BTZ black holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.13063","snapshot_observed_at":"2026-08-06T22:55:03.546865Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.546865Z"},"links":{"cited_paper":"/paper/2403.13063","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:f031ebfff0273bbed8fb493b44b48563ac132c86beae62d51f581d6fbbe135a7","observation_id":"be1b5e97-b20b-4948-8328-ed4f32a8a7da","resolution":{"observed_at":"2026-08-06T22:55:03.546865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.17860","last_updated":"2024-06-25T18:02:49Z","snapshot_observed_at":"2026-08-10T09:51:57.156879Z","submitted_at":"2024-06-25T18:02:49Z","title":"Quantum inequalities for quantum black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.17860","snapshot_observed_at":"2026-08-06T22:55:03.551789Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:55:03.551789Z"},"links":{"cited_paper":"/paper/2406.17860","citing_paper":"/paper/2506.20959"},"observation_digest":"sha256:001b06c0600647e4d27baf3b2c5762e46cee89e75f7f7988b13b7bcf1bdc6263","observation_id":"bc195a67-de45-483b-ae0e-1c9f59c5e25f","resolution":{"observed_at":"2026-08-06T22:55:03.551789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.20959","last_updated":"2025-08-16T11:39:10Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-09T14:24:51.991086Z","submitted_at":"2025-06-26T02:51:16Z","title":"Analytical approach to criticality of AdS black holes"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":3,"verified_fuzzy":1},"total_outbound_references":26},"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 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2506.20959."}