{"as_of":"2026-08-19T22:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aaa2313b6783b735a654fa827cff4ef68aae45dd4d0b84ea14760bcf46b4c804","coverage":[{"denominator":81,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":81,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:19:37.558023Z","state":"measured"},{"denominator":82,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":82,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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":"2026-05-09T21:02:05.741128Z","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":"2026-05-11T14:47:09.099593Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"cited_work":{"arxiv_id":"2509.07656","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.07656","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Hazarika and P","venue":null,"work_id":"ef2e20f3-2311-4bf5-8922-e050bba03455","year":2025},"citing_paper":{"arxiv_id":"2605.00037","last_updated":"2026-04-28T09:28:44Z","snapshot_observed_at":"2026-08-10T22:24:35.307799Z","submitted_at":"2026-04-28T09:28:44Z","title":"Topology of black hole thermodynamics: A brief review","version":1},"reference_index":189,"source":"pdf_text","source_observed_at":"2026-05-09T21:02:05.741128Z"},"links":{"cited_paper":"/paper/2509.07656","citing_paper":"/paper/2605.00037"},"observation_digest":"sha256:427d4a0cccd5106890e53deabb4aaa366752e39202e80af9831bd039d87c5e79","observation_id":"039687a9-1730-40b4-9b47-12f2eb14b2c9","resolution":{"observed_at":"2026-05-11T14:47:09.107076Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.07656/citation-record","integrity":"/paper/2509.07656/integrity","json":"/paper/2509.07656/citation-record.json","paper":"/paper/2509.07656"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1602.03837","last_updated":"2016-02-11T19:26:44Z","snapshot_observed_at":"2026-07-09T16:56:15.649302Z","submitted_at":"2016-02-11T19:26:44Z","title":"Observation of Gravitational Waves from a Binary Black Hole Merger","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.03837","snapshot_observed_at":"2026-08-15T16:19:37.148483Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.148483Z"},"links":{"cited_paper":"/paper/1602.03837","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:cf06783b600aa015657c949c4210d8e1ffd4ec453e2bc6401f46bb39ee085582","observation_id":"1cec3f1e-f5db-4cdb-a372-9dca818e0a0f","resolution":{"observed_at":"2026-08-15T16:19:37.148483Z","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":"2026-08-15T16:19:37.155454Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.155454Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:2358517bbb0318f97f7b926de9fcc922ba413222abb3f3222a4390233fb612fa","observation_id":"914301e4-9cc1-42f3-a996-7a737eab9210","resolution":{"observed_at":"2026-08-15T16:19:37.155454Z","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":"2026-08-15T16:19:37.161025Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.161025Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:1ecd8778c797754a73691a720a1428e42fc94f01eb9d12bfa349784732f43971","observation_id":"12e90928-4057-4781-af21-7bf05c2c45e1","resolution":{"observed_at":"2026-08-15T16:19:37.161025Z","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":"2026-08-15T16:19:37.166298Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.166298Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:be4518bfe7bdd3d3663f279e6d6bc8068db4d3577c81e0fc30a34dee956e5ccc","observation_id":"f762f39b-7dbb-4efe-99ed-8234af22ae02","resolution":{"observed_at":"2026-08-15T16:19:37.166298Z","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":"2026-08-15T16:19:37.171197Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.171197Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:79f8aeff40f4e255058724de189e932cd4cdf5b895b023e94faee9204d94624e","observation_id":"9e2e5cda-d066-4483-86a0-e4ce3f44b87a","resolution":{"observed_at":"2026-08-15T16:19:37.171197Z","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":"2026-08-15T16:19:37.176046Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.176046Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:97f90e83dec150bb244d5b1ab122b4567dd5a4d88c9ac091b4f20f1cf62cc7b1","observation_id":"d8d144c5-ced0-49e1-a0e9-49c83c5469b9","resolution":{"observed_at":"2026-08-15T16:19:37.176046Z","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":"2026-08-15T16:19:37.182534Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.182534Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:31d4dac2d527b582d41cc310fad5f6082fd13333bdd7cb285c1d9d8f67536750","observation_id":"cfe9caf8-2c6b-4101-8e15-6c886b3e4af6","resolution":{"observed_at":"2026-08-15T16:19:37.182534Z","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":"2026-08-15T16:19:37.187162Z","title":"Shipley and S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.187162Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:9896f36d2efdd7c037e1790ba0cc60fb04f581f59faa33da26b474bf6ca52574","observation_id":"4a465a3e-bede-49f2-bc4d-8e9091963bbd","resolution":{"observed_at":"2026-08-15T16:19:37.187162Z","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":"2026-08-15T16:19:37.191345Z","title":"Bambi and K","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.191345Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:ce84e8d3ffe77134a69e17ec99303e08dc77ec5e029cd652bef7b1b49be5e02d","observation_id":"691ee3cd-0b4b-426b-945a-ec9387b7aca6","resolution":{"observed_at":"2026-08-15T16:19:37.191345Z","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":"2026-08-15T16:19:37.195922Z","title":"Atamurotov, A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.195922Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:56a9c15e172514fb898f96bf35c06c9ee0c5177908f3ddcafd84ad322f389013","observation_id":"dac5d91e-31c9-46b3-8358-e9f5ccc593dd","resolution":{"observed_at":"2026-08-15T16:19:37.195922Z","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":"2026-08-15T16:19:37.201278Z","title":"Vagnozzi et al., Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Tele- scope image of Sagittarius A*, Class","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.201278Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:a6a6a9acd06ab406aee88991e3802991c76901c4ef5be4036eb2a5edcd833fba","observation_id":"7de1aeb8-a084-46d0-9faa-503fceb7cd09","resolution":{"observed_at":"2026-08-15T16:19:37.201278Z","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":"2026-08-15T16:19:37.206209Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.206209Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b4b0401c80bb03edbb7d1a2c2e9505ad112f5e2ff814c2250d510f1d18649e4a","observation_id":"17e5ade9-dcb2-4c72-9710-2ae0b3171659","resolution":{"observed_at":"2026-08-15T16:19:37.206209Z","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":"2026-08-15T16:19:37.210949Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.210949Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:fe087ed8c423f999dc01ef7e1250e0221908287fb97a08c6fc471ac58c2ad15a","observation_id":"a5029a22-b5cc-4fb8-be74-bf25a5315ea4","resolution":{"observed_at":"2026-08-15T16:19:37.210949Z","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":"2026-08-15T16:19:37.216238Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.216238Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:820066bb390bf94b0f60fd755d509c843aef3dd05cefafdcbbe00239656d0226","observation_id":"59b1d083-64ed-4139-80e9-978c6235f190","resolution":{"observed_at":"2026-08-15T16:19:37.216238Z","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":"2026-08-15T16:19:37.221012Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.221012Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:49c40d5b5340baea6bfa989cc5660326af2d2eb56284328afba694c99b3fb6a7","observation_id":"86434f4a-7915-45d9-94ed-f3c028a5ca5b","resolution":{"observed_at":"2026-08-15T16:19:37.221012Z","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":"2026-08-15T16:19:37.226453Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.226453Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:4f71e20e8499a4898da34ece224ec1a663f550f1e9997ad82837272ab6a9bd18","observation_id":"efdc2ca2-b929-4af3-a4f0-c4270d5f673b","resolution":{"observed_at":"2026-08-15T16:19:37.226453Z","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":"2026-08-15T16:19:37.231232Z","title":"Black-hole thermodynamics, Physics Today, 33(1):24–31, 1980","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.231232Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:025ad01e5f7860e5fb7e48cf2cc4991a36610ff35ba27b075c1fe96d7db900e5","observation_id":"a447504b-5051-42cc-aafc-73203cfc86e3","resolution":{"observed_at":"2026-08-15T16:19:37.231232Z","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":"2026-08-15T16:19:37.236007Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.236007Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:8a42c8512a91e0984439b10a1e001612bf9fa724735a30afdd3100b63c13f44c","observation_id":"e0cc1e61-47b1-4128-a494-01ef2701a2a5","resolution":{"observed_at":"2026-08-15T16:19:37.236007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.1486","last_updated":"2015-08-26T00:04:20Z","snapshot_observed_at":"2026-08-14T23:16:46.738515Z","submitted_at":"2014-10-06T18:37:55Z","title":"Black Hole Thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.1486","snapshot_observed_at":"2026-08-15T16:19:37.241575Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.241575Z"},"links":{"cited_paper":"/paper/1410.1486","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:0a2901531c409233601dc9208e550452a0421584208612c0f857b7eb70d937fc","observation_id":"e1d69f60-2cc0-471d-bec7-0a9d0c1ff141","resolution":{"observed_at":"2026-08-15T16:19:37.241575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.10610","last_updated":"2018-07-11T02:36:36Z","snapshot_observed_at":"2026-08-17T23:07:30.571314Z","submitted_at":"2018-04-27T17:47:16Z","title":"A Survey of Black Hole Thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.10610","snapshot_observed_at":"2026-08-15T16:19:37.246704Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.246704Z"},"links":{"cited_paper":"/paper/1804.10610","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:ce50e04d8872237ba8721570ba4eee3157a8c1381bf3e6d7c25610a6de8523fd","observation_id":"9d81c7e8-3c2c-4bd7-bb9c-5f3177c4a007","resolution":{"observed_at":"2026-08-15T16:19:37.246704Z","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":"2026-08-15T16:19:37.252366Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.252366Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:dd32bccb6b1d4b7cd8e0999c75f5fc4561e1ef3058f851c907c64ca92e4ca899","observation_id":"76ea9d6b-6279-4f8c-8d26-70bc3ddc0732","resolution":{"observed_at":"2026-08-15T16:19:37.252366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1103.5885","last_updated":"2011-03-30T11:46:49Z","snapshot_observed_at":"2026-08-19T06:51:23.316430Z","submitted_at":"2011-03-30T11:46:49Z","title":"On Black Hole Entropy Corrections in the Grand Canonical Ensemble","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.5885","snapshot_observed_at":"2026-08-15T16:19:37.257597Z","title":"Mahapatra, P","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.257597Z"},"links":{"cited_paper":"/paper/1103.5885","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:66a655d1fe3b4aa665ed1b2d9fe263a20f39a1504a17b118273e65c4a26d0494","observation_id":"69a110d2-810b-43bf-8ff7-08b7c9683e46","resolution":{"observed_at":"2026-08-15T16:19:37.257597Z","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":"2026-08-15T16:19:37.262907Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.262907Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:3c379fb694e1442ee2c32f82a47f65844f7996c29ebef7bf244929c9e1ef7071","observation_id":"23a80a91-51c2-4227-b9e1-07aead044905","resolution":{"observed_at":"2026-08-15T16:19:37.262907Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-15T16:19:37.267771Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.267771Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:c0dc66c8d08795ed023affebcf3de61ca1fcab966f721d46d3c77859b1198297","observation_id":"8dfb21eb-3c9a-4f5d-8eef-c134d7fe4dd0","resolution":{"observed_at":"2026-08-15T16:19:37.267771Z","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":"2026-08-15T16:19:37.272242Z","title":"Curir, Rotating black holes as dissipative spin- thermodynamical systems, General Relativity and Grav- itation,13, 417, (1981) doi:10.1007/BF00756588","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.272242Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:2189147e9c2b36288ef585f363d694298b5d84b176f8993ee3fdfb6431af27e4","observation_id":"27e069df-eef8-4721-8f43-8213177cba97","resolution":{"observed_at":"2026-08-15T16:19:37.272242Z","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":"2026-08-15T16:19:37.276420Z","title":null,"venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.276420Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:ce55f45e7bcbeacb281432e229225db0e9e23828d33b16eb0dce20748acdded6","observation_id":"e223f518-2ff5-459e-b6e4-5fa123cf3b54","resolution":{"observed_at":"2026-08-15T16:19:37.276420Z","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":"2026-08-15T16:19:37.281218Z","title":"Pavon and J","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.281218Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:4cf66e396034f0c1af904030b5b6eddc2c786d37439de95ae6648e0666f8bedf","observation_id":"d4a53863-a7db-4b45-8000-b7108125b9f0","resolution":{"observed_at":"2026-08-15T16:19:37.281218Z","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":"2026-08-15T16:19:37.285885Z","title":"Pavon, Phase transition in Reissner-Nordstrom black holes, Phys","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.285885Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:6fd1bb2c84289809ede0be76a104209f3f8d35ed2256b62d38e7bf13b8c8aa6e","observation_id":"325a11a3-36b5-41d3-b8be-eae8a7526caf","resolution":{"observed_at":"2026-08-15T16:19:37.285885Z","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":"2026-08-15T16:19:37.290788Z","title":"Kaburaki, Critical behavior of extremal Kerr-Newman black holes, Gen","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.290788Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:eda446dec31a5e650f4bbfd35f73d4c8df833b580f015606cca6d18c7346b991","observation_id":"6db85fd1-32f1-4dd0-bb6a-557519e8b3bf","resolution":{"observed_at":"2026-08-15T16:19:37.290788Z","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":"2026-08-15T16:19:37.295677Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.295677Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b43e227b426853bb7c7cd2c316b294b7a5a7e8cf6f30c09d5268b17b23f346b2","observation_id":"e4fea46d-b5ab-43c2-b6a6-e6f936c13c59","resolution":{"observed_at":"2026-08-15T16:19:37.295677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9803261","last_updated":"1998-03-31T20:13:10Z","snapshot_observed_at":"2026-07-07T05:16:25.052214Z","submitted_at":"1998-03-31T20:13:10Z","title":"Thermodynamic Curvature of the BTZ Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9803261","snapshot_observed_at":"2026-08-15T16:19:37.300666Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.300666Z"},"links":{"cited_paper":"/paper/hep-th/9803261","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:1694f980cd14ffa986808dee2a61c5d3062573ea5d9bc3f0a30936f194dd9550","observation_id":"3610c048-a113-43bd-b9da-d039b694349c","resolution":{"observed_at":"2026-08-15T16:19:37.300666Z","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":"2026-08-15T16:19:37.306312Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.306312Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:536a21d5a73c223fbbd49b5b9bbf93601fad5f13ce3acaa0e6614f8de3a4c000","observation_id":"92c1f39e-68db-48a8-a675-639f0103002f","resolution":{"observed_at":"2026-08-15T16:19:37.306312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03434","last_updated":"2019-06-06T16:28:45Z","snapshot_observed_at":"2026-08-19T01:45:50.258241Z","submitted_at":"2019-03-08T13:29:52Z","title":"A general framework to study the extremal phase transition of black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.03434","snapshot_observed_at":"2026-08-15T16:19:37.311264Z","title":"Bhattacharya, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.311264Z"},"links":{"cited_paper":"/paper/1903.03434","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:2224f9715c042052d6baf145c369a4156160e2ab5482f1fb11661b74aba90e72","observation_id":"d09e60fb-2c1c-4871-abc3-ce8fcbd27a37","resolution":{"observed_at":"2026-08-15T16:19:37.311264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2765","last_updated":"2009-05-11T12:31:33Z","snapshot_observed_at":"2026-08-15T05:50:18.716804Z","submitted_at":"2009-04-17T19:07:41Z","title":"Enthalpy and the Mechanics of AdS Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.2765","snapshot_observed_at":"2026-08-15T16:19:37.316729Z","title":"Kastor, S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.316729Z"},"links":{"cited_paper":"/paper/0904.2765","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:ec0eb1dcc54f49f1705aaa5474c197b007c4c70fb1684a19c43427dc8cc2665c","observation_id":"bcca1ddc-60f2-4189-9849-bd766d2ec99e","resolution":{"observed_at":"2026-08-15T16:19:37.316729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.5023","last_updated":"2012-12-21T16:23:47Z","snapshot_observed_at":"2026-08-15T05:10:09.675368Z","submitted_at":"2010-08-30T08:41:58Z","title":"The cosmological constant and the black hole equation of state","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.5023","snapshot_observed_at":"2026-08-15T16:19:37.322878Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.322878Z"},"links":{"cited_paper":"/paper/1008.5023","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:e350f8e48c2f0f650720c564bb420585cdbbb6f009bb0ef70e88c9c3919a1bb2","observation_id":"0bb764b0-bb7d-4335-a3ae-886ee36abed6","resolution":{"observed_at":"2026-08-15T16:19:37.322878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.6260","last_updated":"2011-11-11T12:53:34Z","snapshot_observed_at":"2026-08-15T04:42:24.300670Z","submitted_at":"2011-06-30T15:11:49Z","title":"Pressure and volume in the first law of black hole thermodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.6260","snapshot_observed_at":"2026-08-15T16:19:37.328311Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.328311Z"},"links":{"cited_paper":"/paper/1106.6260","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:c1ca93e1d6a65a52fb61cea48ce0445ebcae4ac529e245d5f7d0b39b2ab9fa57","observation_id":"8d6781ba-3fc2-4b23-b01e-ef2530981bf7","resolution":{"observed_at":"2026-08-15T16:19:37.328311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1109.0198","last_updated":"2011-12-08T09:43:52Z","snapshot_observed_at":"2026-08-18T18:06:13.832887Z","submitted_at":"2011-09-01T14:45:27Z","title":"Compressibility of rotating black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.0198","snapshot_observed_at":"2026-08-15T16:19:37.333852Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.333852Z"},"links":{"cited_paper":"/paper/1109.0198","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:6b52ba6d77875d8db2713b2c8812f46df1beaa2231bac3733f2436388575a65a","observation_id":"ccf4d437-5b43-44bb-8d0c-f428f0754d68","resolution":{"observed_at":"2026-08-15T16:19:37.333852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.1272","last_updated":"2016-11-28T10:59:44Z","snapshot_observed_at":"2026-08-15T00:47:36.052380Z","submitted_at":"2012-09-06T12:52:21Z","title":"Where is the PdV term in the first law of black hole thermodynamics?","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.1272","snapshot_observed_at":"2026-08-15T16:19:37.339304Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.339304Z"},"links":{"cited_paper":"/paper/1209.1272","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:cc5cc0713d4295ddafd22bf3de5392ebc89a5021b7b2a42fdbe2a199b2cfdfc8","observation_id":"0e3ee87f-fbfe-42c9-b797-2840fde094cb","resolution":{"observed_at":"2026-08-15T16:19:37.339304Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.0559","last_updated":"2012-09-06T17:50:27Z","snapshot_observed_at":"2026-08-15T04:11:14.599666Z","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":"2026-08-15T16:19:37.344995Z","title":"Kubiznak and R","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.344995Z"},"links":{"cited_paper":"/paper/1205.0559","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:567fc087fc4fa784408ecd803871f7b2b958513cd620be7af07214acf996771d","observation_id":"d680cc1a-ce99-4a16-ba8a-16348e995354","resolution":{"observed_at":"2026-08-15T16:19:37.344995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.06147","last_updated":"2021-05-06T04:10:44Z","snapshot_observed_at":"2026-08-12T18:54:35.918713Z","submitted_at":"2016-08-22T12:32:49Z","title":"Black hole chemistry: thermodynamics with Lambda","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.06147","snapshot_observed_at":"2026-08-15T16:19:37.350407Z","title":"Kubiznak, R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.350407Z"},"links":{"cited_paper":"/paper/1608.06147","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:c261bab5a799210441c254eac0cf758187c6edc7cda0e1a5f6ded0eeeab146bd","observation_id":"51e50794-cc93-4c02-b4ad-a51f49fca10f","resolution":{"observed_at":"2026-08-15T16:19:37.350407Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-15T16:19:38.878861Z","title":"Sadeghi, M","venue":null,"work_id":"dbcd4a87-7ee9-42f2-aa60-7e5340953c0b","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.355772Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b8de43f80bb5a0539866e1410e720149773882b62d266b1948cba1f941211053","observation_id":"b09778c0-f709-40fc-9803-4f7aee7d10d4","resolution":{"observed_at":"2026-08-15T16:19:38.883727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.862470Z","title":"Ladghami, B","venue":null,"work_id":"05b0a385-e65e-4dae-a759-224aec0d215b","year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.360193Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:3f9481f8e85b811753e33af5c536e27e1eae59ef56326a3b72b7066d9f178530","observation_id":"d56304fe-b169-47dc-b664-18c12343f7f2","resolution":{"observed_at":"2026-08-15T16:19:38.868889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.845851Z","title":null,"venue":null,"work_id":"96cce203-7d0e-45b6-897e-213da1ebd9c2","year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.364875Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:754ce9321327a6d44b371f2167183e8e0aff07b199ccd7cb1052d526884dff9a","observation_id":"9bd69b2e-c246-4164-a1e6-9962d0ad4df8","resolution":{"observed_at":"2026-08-15T16:19:38.850861Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.828266Z","title":null,"venue":null,"work_id":"5c323d1c-7a50-4431-89be-d30c5d5435c1","year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.368997Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:dcc4bcd2aa628755a609950717f57fd1c8f05fe11e4a781b7adec91b18440b72","observation_id":"c21bbada-a971-4e7c-820b-74ac05abd7e1","resolution":{"observed_at":"2026-08-15T16:19:38.833516Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.813260Z","title":"Wang and L","venue":null,"work_id":"f0031f15-001d-492b-89fa-083db80561e4","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.373163Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:eb3ca269462f648ae0d99653978cc24081cd15864fdf876b45bb6892f8579f83","observation_id":"b92c8803-073a-4ce1-8c25-33c8d3840330","resolution":{"observed_at":"2026-08-15T16:19:38.817703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.795781Z","title":"Zeyuan and L","venue":null,"work_id":"6aad0332-8c32-4353-8dd0-aaf47a3c4b46","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.377721Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:e664537b51c55e0fd10e25e47b6a5d5e0bbe3d99756add0595ecc4b9593ceb69","observation_id":"81a2bc38-82d2-4cd8-bfe3-1048e899a194","resolution":{"observed_at":"2026-08-15T16:19:38.800838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.774138Z","title":null,"venue":null,"work_id":"f41d9fc8-4356-48b9-9108-96501ab1925c","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.381837Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:8df0eedbe82683f967649f2ddc94ab444b4ea486431676a90aeef06bc3976d33","observation_id":"c6146bdd-e864-4e0c-9aaf-01b0345922c2","resolution":{"observed_at":"2026-08-15T16:19:38.783664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.754997Z","title":"Dutta and G","venue":null,"work_id":"f56ad119-ac55-4deb-abff-04a503f35c73","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.386192Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:69b833af586fc84d4a003ce1ae45e2b578199b8cf58ea2e24ed53b059282fdbd","observation_id":"d8ace763-219d-4b07-991f-268529acf5a7","resolution":{"observed_at":"2026-08-15T16:19:38.763020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.732100Z","title":null,"venue":null,"work_id":"8f6db5c4-0119-444e-9ff3-d9774832ee77","year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.391658Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:13248a0d306f9b88bb175fc5c5b476d1ba31c07764848020083826f31ec008b6","observation_id":"7317a3bc-537c-4eca-8b0e-2100a0f70018","resolution":{"observed_at":"2026-08-15T16:19:38.736778Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.716194Z","title":null,"venue":null,"work_id":"edbc6054-f285-45f9-8edd-8d5c5fc30d50","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.396910Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b90b44e2b746e8f19d5e4e64ee67abd96c05ad047c219f77ceb8266294e791d4","observation_id":"b80bd701-99dc-4355-b3da-a2220c36cffd","resolution":{"observed_at":"2026-08-15T16:19:38.721275Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.701152Z","title":null,"venue":null,"work_id":"1de20530-d113-4b4e-8b53-47aabb6c6439","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.402456Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:7cb9f5018e68571f70e8dc1f93bc245c945b59c9bfb430f9e3b141d73954ec5b","observation_id":"c37bacd4-1b52-4773-9036-095feeb0fd23","resolution":{"observed_at":"2026-08-15T16:19:38.707032Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0811.2524","last_updated":"2008-11-15T20:08:03Z","snapshot_observed_at":"2026-08-15T10:01:56.521243Z","submitted_at":"2008-11-15T20:08:03Z","title":"Geometric description of BTZ black holes thermodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.2524","snapshot_observed_at":"2026-08-15T16:19:37.407027Z","title":"Quevedo and A","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.407027Z"},"links":{"cited_paper":"/paper/0811.2524","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:59fa4fdcba6a4f6ff6752593b978f8afc258401bcf76333c693adaeabc095bc8","observation_id":"88692123-7e4b-440d-bc77-10737ee1fbbf","resolution":{"observed_at":"2026-08-15T16:19:37.407027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1101.2722","last_updated":"2011-01-14T06:30:41Z","snapshot_observed_at":"2026-08-15T04:57:34.981849Z","submitted_at":"2011-01-14T06:30:41Z","title":"Thermodynamic Geometry Of Charged Rotating BTZ Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1101.2722","snapshot_observed_at":"2026-08-15T16:19:37.412323Z","title":"Akbar, H","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.412323Z"},"links":{"cited_paper":"/paper/1101.2722","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:1eb9f447f3c3ea9f244cfa34d2712de026418729b94dad3064db8f5b4e0460c8","observation_id":"2a65ac2e-39a9-4383-ade5-36166f5906a6","resolution":{"observed_at":"2026-08-15T16:19:37.412323Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.06269","last_updated":"2015-10-21T14:21:02Z","snapshot_observed_at":"2026-08-14T22:26:53.753767Z","submitted_at":"2015-10-21T14:21:02Z","title":"Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.06269","snapshot_observed_at":"2026-08-15T16:19:37.417303Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.417303Z"},"links":{"cited_paper":"/paper/1510.06269","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b1ebde9efbc2230d7c1cb4dd07ce3bc226b799510a03fa0ea31ae635e402c4db","observation_id":"28a7ebb9-12f7-437e-9659-4faa53e27da9","resolution":{"observed_at":"2026-08-15T16:19:37.417303Z","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":"th/0606084","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T16:19:38.070372Z","title":"Sarkar, G","venue":null,"work_id":"39bc2837-ba7c-4048-959d-c8cefa60b842","year":2006},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.422512Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:5ea14cee6407b51f858d888c348089494b28811c189d0b3330b4180ad6df2087","observation_id":"b59ba402-ad6f-4e1c-a5fd-5c1d9636c5d2","resolution":{"observed_at":"2026-08-15T16:19:38.082925Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.08593","last_updated":"2015-09-29T05:35:51Z","snapshot_observed_at":"2026-08-14T22:30:26.084941Z","submitted_at":"2015-09-29T05:35:51Z","title":"Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.08593","snapshot_observed_at":"2026-08-15T16:19:37.428306Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.428306Z"},"links":{"cited_paper":"/paper/1509.08593","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:2699e4d019b91dee3887d5e68cac57c500e3e7ef656451b215af1dac79fed2f0","observation_id":"e4b3f743-130d-4c35-8e18-b4c63cf852b2","resolution":{"observed_at":"2026-08-15T16:19:37.428306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.06701","last_updated":"2017-01-20T06:56:15Z","snapshot_observed_at":"2026-08-14T21:29:29.486727Z","submitted_at":"2016-11-21T09:49:35Z","title":"Thermogeometric phase transition in a unified framework","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.06701","snapshot_observed_at":"2026-08-15T16:19:37.433739Z","title":"Banerjee, B","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.433739Z"},"links":{"cited_paper":"/paper/1611.06701","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:9a989dd58da434dc6fbd8208681ec57f0b949d7f6cc8f322a6f0516dcf4a72e4","observation_id":"3fb34ffa-49a3-4b8c-97fa-5ea57fec5405","resolution":{"observed_at":"2026-08-15T16:19:37.433739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.07174","last_updated":"2017-04-18T09:36:28Z","snapshot_observed_at":"2026-08-19T03:10:42.520700Z","submitted_at":"2017-02-23T11:01:54Z","title":"Thermogeometric description of the van der Waals like phase transition in AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.07174","snapshot_observed_at":"2026-08-15T16:19:37.438922Z","title":"Bhattacharya and B","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.438922Z"},"links":{"cited_paper":"/paper/1702.07174","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:654e29823aa79b486b6f2ca5f8307cb7817263bed836a5479257d03f1be36568","observation_id":"3e3bb64a-0f99-4920-8432-f7103fdf427d","resolution":{"observed_at":"2026-08-15T16:19:37.438922Z","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":"2026-08-15T16:19:37.444378Z","title":"Bhattacharya and B","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.444378Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:2e72fea2f1d92db29eec7f5293919e063de0b6992abbc0208f8ba52801e25efa","observation_id":"f18790c3-845e-4890-a5e7-2d88a87d5ba6","resolution":{"observed_at":"2026-08-15T16:19:37.444378Z","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":"2026-08-15T16:19:37.449440Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.449440Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:04889e187cc55e70079a4b797d1b86656c73bd5fcc82c0c94271b4eb496a7c0a","observation_id":"4a6c23a4-33da-4b18-91fd-6b9bea45fa8f","resolution":{"observed_at":"2026-08-15T16:19:37.449440Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.7135","last_updated":"2012-10-26T13:10:42Z","snapshot_observed_at":"2026-08-15T00:41:42.797516Z","submitted_at":"2012-10-26T13:10:42Z","title":"Geodesics in Information Geometry : Classical and Quantum Phase Transitions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.7135","snapshot_observed_at":"2026-08-15T16:19:37.454666Z","title":"Kumar, S","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.454666Z"},"links":{"cited_paper":"/paper/1210.7135","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:e525d5ecb9c66e1ab4594b76d4d41ae901b8f6c02199e4f78ab59f6fef58357a","observation_id":"ae40ba46-5f09-4606-8d6a-182ef9f9e02b","resolution":{"observed_at":"2026-08-15T16:19:37.454666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.00386","last_updated":"2015-09-17T07:23:41Z","snapshot_observed_at":"2026-08-14T23:01:48.149238Z","submitted_at":"2015-02-02T07:41:26Z","title":"Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.00386","snapshot_observed_at":"2026-08-15T16:19:37.459827Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.459827Z"},"links":{"cited_paper":"/paper/1502.00386","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:69b264a416c88ce3762619f6cd108be4e28c830a9eb6ed3d82df09890fb89c66","observation_id":"166a75bc-99ae-4cb4-b6a5-ebdbb2b94ae2","resolution":{"observed_at":"2026-08-15T16:19:37.459827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1308.2672","last_updated":"2014-01-25T14:41:47Z","snapshot_observed_at":"2026-08-15T00:07:03.092887Z","submitted_at":"2013-08-12T20:00:02Z","title":"Kerr-AdS analogue of triple point and solid/liquid/gas phase transition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1308.2672","snapshot_observed_at":"2026-08-15T16:19:37.464496Z","title":"Altamirano, D","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.464496Z"},"links":{"cited_paper":"/paper/1308.2672","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:fe0b407ad907d371a8a64c965ac5a9c21f79891e1c034cb5171b7959e352e141","observation_id":"41e12e0f-d771-4024-bc2f-45b7bbb8bde3","resolution":{"observed_at":"2026-08-15T16:19:37.464496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1609.02564","last_updated":"2016-09-08T20:00:06Z","snapshot_observed_at":"2026-08-14T21:40:41.572011Z","submitted_at":"2016-09-08T20:00:06Z","title":"Superfluid Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1609.02564","snapshot_observed_at":"2026-08-15T16:19:37.469339Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.469339Z"},"links":{"cited_paper":"/paper/1609.02564","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:e124dc726fdf45d442ef510e8f8eea10b8786fd18fa3432d3286f102722d22e3","observation_id":"adc66b05-feb6-415a-babb-2a817a0b3c0a","resolution":{"observed_at":"2026-08-15T16:19:37.469339Z","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":"2026-08-15T16:19:38.685944Z","title":"Arcioni and E","venue":null,"work_id":"185e72ff-b8c1-431b-911c-819115e6c480","year":2005},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.475138Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:5e914fc11b4534b901921631c981fbfa9174bef159f1ee377276ad8b24bebbe9","observation_id":"c26e2c84-34e7-49ac-a32d-2e602f190434","resolution":{"observed_at":"2026-08-15T16:19:38.690757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.670394Z","title":"Armas and E","venue":null,"work_id":"c4238f98-1f2f-4d39-b1a1-2ddeb8a067d9","year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.480529Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b493ac372309661b367aba2780cbbd2a7c8a294f87af6e5139473eadb7186a63","observation_id":"48af973c-032a-45d7-a2fd-74512a1f838e","resolution":{"observed_at":"2026-08-15T16:19:38.674920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.653003Z","title":"Polcar, P","venue":null,"work_id":"53a98d9c-e5b3-44bb-a07b-29c2c99459a3","year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.485425Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:97b8e650bbef921a6240379f0526e9f179e256e482010bf65efa3dc9b7d4e2d4","observation_id":"85cc5af6-4b0c-4860-914f-1d8f0434be90","resolution":{"observed_at":"2026-08-15T16:19:38.659832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.635980Z","title":null,"venue":null,"work_id":"a99344b3-7741-4d0e-b150-1ba9667e33b2","year":2024},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.490875Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:12bc6bca89fa8a595c797902ec6759a6bb968b425581133a86469c1169151d80","observation_id":"b743ef23-0ce5-4a53-a2ab-1de50c2c8054","resolution":{"observed_at":"2026-08-15T16:19:38.641382Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.619211Z","title":"Chaos in Born–Infeld–AdS black hole within extended phase space","venue":null,"work_id":"ef496f02-c998-4f10-b866-3714bd92cfc9","year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.495863Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:4f46ec56003a950ddf4c14898395b793921846863d66d6bf32bdfb4a45c93549","observation_id":"dbe3a0c4-9816-4928-93f6-031578666f08","resolution":{"observed_at":"2026-08-15T16:19:38.625722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.602989Z","title":"Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space","venue":null,"work_id":"daa44113-dde1-4673-bb3f-2f7598f59f39","year":2019},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.501040Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:c1d18975bdf2e36b6a0874b934cb1ab6d86073a0968dc5b18f4fb845899a3852","observation_id":"c3a59391-da91-41f8-8626-b7f9ad47ae0d","resolution":{"observed_at":"2026-08-15T16:19:38.608163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.586821Z","title":"Thermal chaos of a charged dilaton-AdS black hole in the extended phase space","venue":null,"work_id":"341aeeb5-0206-4281-8cb0-8783176c43f7","year":2020},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.506006Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:07e2965ede1cf7a69b2c39a7d19e51218b89642cbb691a8456ad83ae563eea64","observation_id":"c3474014-b307-4247-ab13-63d7d0084526","resolution":{"observed_at":"2026-08-15T16:19:38.592661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.569759Z","title":"Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space","venue":null,"work_id":"5c286e2b-90a7-488a-a60a-e5665e1a6e77","year":2021},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.512912Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:b291a5be8d38c0c92531245f12ee5c8cc577082810cab351f0768c1f1183dbbf","observation_id":"d1e04be7-71b2-4adf-822f-14b3e9f11b97","resolution":{"observed_at":"2026-08-15T16:19:38.575803Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.556064Z","title":null,"venue":null,"work_id":"14442fc1-e29b-41b4-8ab3-a2971191df95","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.518815Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:915e0584f3a540f3cecd1a061360c133b2ac88975e2def8c5da600c105ad4cf8","observation_id":"8e6fa6eb-89d0-40f1-9cb0-71043f8601f4","resolution":{"observed_at":"2026-08-15T16:19:38.559858Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.539739Z","title":null,"venue":null,"work_id":"c4952fd7-3180-48d3-999b-c431384e1b2f","year":2022},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.524307Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:0f20c4d340e578f64de7db3cd4131c2feb3faffd9e32f8c5712dfe1aed236316","observation_id":"c7f8d513-ab4c-4339-af4b-5874cdf954d8","resolution":{"observed_at":"2026-08-15T16:19:38.545516Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.523272Z","title":null,"venue":null,"work_id":"ebafbf9b-2d47-4a61-ab23-c6cef5b23bae","year":2025},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.529163Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:703fe177dd9be08424b841429f581938c3362c5d91231f2ff4b9c991f2812443","observation_id":"88ab1dd9-8115-406f-b70d-9756507ff1b4","resolution":{"observed_at":"2026-08-15T16:19:38.528210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.506856Z","title":null,"venue":null,"work_id":"128e1ff2-e54d-49fc-bf1a-2e59372e80bd","year":1994},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.533982Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:90be734a3dada3f0c26867fa34b95a1ce0daea23e090356560fbd78f5142ca9e","observation_id":"54421c2d-c89d-490e-99ef-20e9e7ac6611","resolution":{"observed_at":"2026-08-15T16:19:38.512210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.493496Z","title":null,"venue":null,"work_id":"a2bafdde-8095-4235-bd18-c31fbd151e0e","year":1986},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.538703Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:88f0e3f8e9bb0adfbc12431e4edbe174bcb5ec186fcf0140b8b0ecacee0e4481","observation_id":"50466df2-06ea-4e2a-9451-34939274b681","resolution":{"observed_at":"2026-08-15T16:19:38.497821Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-15T16:19:38.477422Z","title":null,"venue":null,"work_id":"b1d35431-8b4f-4c70-83ef-16fff0077d0b","year":1990},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.543263Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:22cf53571752ccebcb27744a07d6e65d3911484957317fd856b9c62105e8382d","observation_id":"f0535022-ccee-4039-8b68-22355b5b0dd9","resolution":{"observed_at":"2026-08-15T16:19:38.483389Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T16:19:37.548054Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.548054Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:e23877ef44e64d9113ae9e2b8781299240699a7862ecf0b69e9b98933c8850b2","observation_id":"4f1206a1-a211-4491-a4cb-0eb50c5d4fcf","resolution":{"observed_at":"2026-08-15T16:19:37.548054Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.05904","last_updated":"2020-09-22T17:58:30Z","snapshot_observed_at":"2026-08-10T05:01:34.090148Z","submitted_at":"2020-09-13T03:15:16Z","title":"Thermodynamics of the Euler-Heisenberg-AdS black hole","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.05904","snapshot_observed_at":"2026-08-15T16:19:37.552849Z","title":"Magos and N","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.552849Z"},"links":{"cited_paper":"/paper/2009.05904","citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:f7698265ae61781a5220a880fd8179dc63256f27e3a31007e3e0bce3718f82b6","observation_id":"ca929e76-e80e-4687-8cfe-b7c3545017dc","resolution":{"observed_at":"2026-08-15T16:19:37.552849Z","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":"2026-08-15T16:19:38.462336Z","title":null,"venue":null,"work_id":"7537c8c5-ee6a-4b23-a58e-835d4993827c","year":2013},"citing_paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-15T16:19:37.558023Z"},"links":{"citing_paper":"/paper/2509.07656"},"observation_digest":"sha256:275540715b1290dd07cd590e82bfca83333ae29d1e19b5fec62aefded48ef288","observation_id":"d14ce650-05ef-43f1-a15e-275b2204254b","resolution":{"observed_at":"2026-08-15T16:19:38.466302Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.07656","last_updated":"2025-09-09T12:22:35Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-19T12:40:01.764789Z","submitted_at":"2025-09-09T12:22:35Z","title":"Bifurcation and Critical Phenomena in Black Hole Thermodynamics"},"reference_resolution":{"displayed":81,"state_counts":{"malformed_identifier":4,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":81},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 81 of 81 outbound references and 1 inbound Pith citation observation for arXiv:2509.07656."}