{"as_of":"2026-08-18T03:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5897dbb73ae2b7034804fdffbccb96e4cd861a92fa9440cfc29313aeb266ddc1","coverage":[{"denominator":63,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":63,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:06:51.650251Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:06:51.453897Z","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":"2026-05-11T14:47:08.507226Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.23198","snapshot_observed_at":"2026-08-06T11:06:51.453897Z","title":"Research exploring the connection between the classical thermodynamic quantities of black holes and quantum g ravity plays a crucial role in modern physics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.453897Z"},"links":{"cited_paper":"/paper/2507.23198","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:9a733feaebee2a6817a868e72372b5c175872728f02651f1819cbaedb8e3db5f","observation_id":"fd237b2f-9cb3-4122-84b5-4e3e0af34413","resolution":{"observed_at":"2026-08-06T11:06:51.453897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"cited_work":{"arxiv_id":"2507.23198","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.23198","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bao, M.-S","venue":null,"work_id":"1bc2d57f-bc26-4967-8942-5683106994b2","year":null},"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":181,"source":"pdf_text","source_observed_at":"2026-05-09T21:02:05.741128Z"},"links":{"cited_paper":"/paper/2507.23198","citing_paper":"/paper/2605.00037"},"observation_digest":"sha256:52eea5f166d53969d8c19ef9bd935e044dcd9acefeaa7a4911bb695917096fae","observation_id":"cc04e16e-7159-4426-b65d-3c4443d2cebe","resolution":{"observed_at":"2026-05-11T14:47:08.584495Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.23198/citation-record","integrity":"/paper/2507.23198/integrity","json":"/paper/2507.23198/citation-record.json","paper":"/paper/2507.23198"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.23198","snapshot_observed_at":"2026-08-06T11:06:51.453897Z","title":"Research exploring the connection between the classical thermodynamic quantities of black holes and quantum g ravity plays a crucial role in modern physics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.453897Z"},"links":{"cited_paper":"/paper/2507.23198","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:9a733feaebee2a6817a868e72372b5c175872728f02651f1819cbaedb8e3db5f","observation_id":"fd237b2f-9cb3-4122-84b5-4e3e0af34413","resolution":{"observed_at":"2026-08-06T11:06:51.453897Z","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":"2026-08-06T11:06:52.619826Z","title":"(2.2) indic ates the effect of the non- linearity","venue":null,"work_id":"b70e38a3-4e59-4b04-b8ee-4620dd8a3de1","year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.458153Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:3d00503d21597df3a3bbe70a1df1a482bdd9df72289378624a09bbd05fe1d6bb","observation_id":"5af2547e-ace7-454f-a6de-771f8801a6a8","resolution":{"observed_at":"2026-08-06T11:06:52.622968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.610003Z","title":"They reveal the essence of black holes as complex thermodynamic s ystems and provide a new research perspective for quantum gravity","venue":null,"work_id":"839e0b75-b5b1-4859-8a7a-19d92b62513b","year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.461570Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:39bb28901e677036166b0fc0ae4ba1c0000a12bc3a190b5581b07daf91e58f18","observation_id":"c0148f73-cc85-46b9-8709-0dd161f618b8","resolution":{"observed_at":"2026-08-06T11:06:52.613417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.600283Z","title":"The parameter θ serves as an auxiliary function and is utilized to construct the secon d component of the mapping","venue":null,"work_id":"c7a6c9d4-bc7e-46f8-a866-9374a40a7df4","year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.465023Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:9282ccd250c209ff74486f0a8fc3eedf2e5bfc4ebe45936c9246f8c3790dee01","observation_id":"42f4b9b1-fcb0-42bd-b220-4cd6dabd5e93","resolution":{"observed_at":"2026-08-06T11:06:52.603675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.590157Z","title":"Furthermore, the influence of the nonlinear paramete r γ on these phase transitions is discussed","venue":null,"work_id":"1e25d128-fadc-44d1-8c26-835e465a94ea","year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.468772Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:936a078bd831ba0ba258ea32dbe0adfa7819978369aaae0185ab039cd1dbcc7c","observation_id":"6999c0ee-a338-4a5c-9b15-c6be6fcec922","resolution":{"observed_at":"2026-08-06T11:06:52.593697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.08087","last_updated":"2022-12-23T18:30:50Z","snapshot_observed_at":"2026-08-17T05:52:18.589654Z","submitted_at":"2022-12-15T19:00:16Z","title":"Multicritical Phase Transitions in Lovelock AdS Black Holes","version":2},"cited_work":{"arxiv_id":"2212.08087","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.08087","snapshot_observed_at":"2026-08-06T11:06:52.405912Z","title":"Multicritical Phase Transitions in Lovelock AdS Black Holes","venue":"hep-th","work_id":"cc9f2e77-617a-460e-8281-209816748bc1","year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.472140Z"},"links":{"cited_paper":"/paper/2212.08087","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:901ce6c8d9f480cab180c00b2a5ccccb1b077594e433d618eb2185b75c04b576","observation_id":"0c776e3d-c8f4-46bb-949f-4f52e6a1b489","resolution":{"observed_at":"2026-08-06T11:06:52.409334Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.00012","last_updated":"2022-07-29T18:00:02Z","snapshot_observed_at":"2026-08-16T16:42:23.108891Z","submitted_at":"2022-07-29T18:00:02Z","title":"Multicritical Phase Transitions in Multiply Rotating Black Holes","version":1},"cited_work":{"arxiv_id":"2208.00012","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.00012","snapshot_observed_at":"2026-08-06T11:06:52.391808Z","title":"Multicritical Phase Transitions in Multiply Rotating Black Holes","venue":"gr-qc","work_id":"46e971e8-8482-4d75-ac38-586469362fc5","year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.475711Z"},"links":{"cited_paper":"/paper/2208.00012","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:085c27ca761d0d5f61780e98747b954f88a80ac79b00fcefc152674a06dcf262","observation_id":"ea99c62b-0b4d-40fe-bb98-1fdcb241b73a","resolution":{"observed_at":"2026-08-06T11:06:52.395806Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.7015","last_updated":"2014-07-23T19:46:36Z","snapshot_observed_at":"2026-08-16T17:15:28.697364Z","submitted_at":"2014-06-26T20:03:50Z","title":"Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.7015","snapshot_observed_at":"2026-08-06T11:06:51.482461Z","title":"Frassino, David Kubizˇ n´ak, Robert B","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.482461Z"},"links":{"cited_paper":"/paper/1406.7015","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:c0c9107341089e0497cfc1111943dba43c45911fba1b432d9208b02d36f92412","observation_id":"cb46e1e8-db9a-4cc5-9223-9ccdcae34a87","resolution":{"observed_at":"2026-08-06T11:06:51.482461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.11131","last_updated":"2024-02-26T03:05:23Z","snapshot_observed_at":"2026-08-16T14:33:49.006383Z","submitted_at":"2023-12-18T12:04:05Z","title":"Towards classifying the interior dynamics of charged black holes with scalar hair","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.11131","snapshot_observed_at":"2026-08-06T11:06:51.486080Z","title":"JHEP 02, 169 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.486080Z"},"links":{"cited_paper":"/paper/2312.11131","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:b620a0d233dcd35b118221392f500a1d225f601c37c0d8ea82aace99836cc616","observation_id":"f75aaec2-f268-415b-b0a0-44b830617e72","resolution":{"observed_at":"2026-08-06T11:06:51.486080Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.02078","last_updated":"2023-02-26T07:12:53Z","snapshot_observed_at":"2026-08-17T22:07:59.603707Z","submitted_at":"2022-10-05T08:09:29Z","title":"Gravitational microlensing by dressed primordial black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.02078","snapshot_observed_at":"2026-08-06T11:06:51.489828Z","title":"JCAP 03, 043 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.489828Z"},"links":{"cited_paper":"/paper/2210.02078","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:54106ef54ad1f8168fc210b2df91070e4a2310581e5b7aa20f1fbd62e259078c","observation_id":"60a21fc0-504d-4ca1-b7a2-b3b8866a27da","resolution":{"observed_at":"2026-08-06T11:06:51.489828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08307","last_updated":"2016-09-27T15:26:32Z","snapshot_observed_at":"2026-08-16T08:38:38.168903Z","submitted_at":"2016-06-23T16:00:09Z","title":"Complexity Growth for AdS Black Holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.08307","snapshot_observed_at":"2026-08-06T11:06:51.493047Z","title":"JHEP 09, 161 (2016)","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.493047Z"},"links":{"cited_paper":"/paper/1606.08307","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:cdcaa656eeda0c1eac91a96e6e7c79aafc8bb5be8624d2b68939711bb760ecaf","observation_id":"62c8789c-2c64-43aa-a081-eaae94607792","resolution":{"observed_at":"2026-08-06T11:06:51.493047Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1502.01428","last_updated":"2015-02-05T04:03:24Z","snapshot_observed_at":"2026-08-14T23:01:19.070319Z","submitted_at":"2015-02-05T04:03:24Z","title":"Phase transition and Thermodynamical geometry of Reissner-Nordstr\\\"om-AdS Black Holes in Extended Phase Space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.01428","snapshot_observed_at":"2026-08-06T11:06:51.496395Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.496395Z"},"links":{"cited_paper":"/paper/1502.01428","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:56f8011d40c21f23434787ed32186a1652271ebe98fc82d4ed332f51bc1f11a0","observation_id":"5e081012-4a26-4706-9118-e2d50461cf87","resolution":{"observed_at":"2026-08-06T11:06:51.496395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1208.6251","last_updated":"2012-11-15T20:15:47Z","snapshot_observed_at":"2026-08-15T01:57:49.254861Z","submitted_at":"2012-08-30T18:21:30Z","title":"Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.6251","snapshot_observed_at":"2026-08-06T11:06:51.499454Z","title":"Mann, E xtended phase space thermodynamics for charged and rotatin g black holes and Born-Infeld vacuum polarization","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.499454Z"},"links":{"cited_paper":"/paper/1208.6251","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:ec76f6973a020fa296055a7d5478f7d1e278c471a4697d8f814be360b8ebc416","observation_id":"f8c6b2e4-ec88-4217-a049-89d7e8ad6cbf","resolution":{"observed_at":"2026-08-06T11:06:51.499454Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.11886","last_updated":"2024-12-08T05:02:01Z","snapshot_observed_at":"2026-08-16T15:06:30.194496Z","submitted_at":"2023-08-23T03:19:43Z","title":"Thermodynamic nature of black holes in coexistence region","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.11886","snapshot_observed_at":"2026-08-06T11:06:51.502297Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.502297Z"},"links":{"cited_paper":"/paper/2308.11886","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:e349a6d4164c1d8d52afa7ab8605c852a8a3aeb85d8e31fc1abfc85c5aa1bf21","observation_id":"fe017983-a9d2-4ec5-b5f0-ecc58723f44a","resolution":{"observed_at":"2026-08-06T11:06:51.502297Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.08969","last_updated":"2023-09-20T14:16:18Z","snapshot_observed_at":"2026-08-16T15:39:35.457407Z","submitted_at":"2023-04-18T13:06:14Z","title":"Dynamic behaviours of black hole phase transitions near quadruple points","version":2},"cited_work":{"arxiv_id":"2304.08969","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.08969","snapshot_observed_at":"2026-08-06T11:06:52.294946Z","title":"Dynamic behaviours of black hole phase transitions near quadruple points","venue":"gr-qc","work_id":"54fb7c9f-8449-4e89-959d-e9f99064efd0","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.505480Z"},"links":{"cited_paper":"/paper/2304.08969","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:a29fc56c323935ddb3c68fbc40453642745685a7c37bb4a4e3d9547f336bc634","observation_id":"c49457ac-ad3e-4869-a6a6-c2db3c70c4fe","resolution":{"observed_at":"2026-08-06T11:06:52.298715Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.10117","last_updated":"2021-12-22T09:08:25Z","snapshot_observed_at":"2026-08-17T18:20:14.966770Z","submitted_at":"2021-11-19T09:34:07Z","title":"Stability and phase transition of rotating Kaluza-Klein black holes","version":2},"cited_work":{"arxiv_id":"2111.10117","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.10117","snapshot_observed_at":"2026-08-06T11:06:52.281894Z","title":"Stability and phase transition of rotating Kaluza-Klein black holes","venue":"gr-qc","work_id":"9649f928-1b9d-4bf3-9b18-7c72eed2e3f2","year":2021},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.508621Z"},"links":{"cited_paper":"/paper/2111.10117","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:f1353a08eae79f36540f56d9f7e14cafbfe064303cd302e25553b6ae2648d95b","observation_id":"dc315efc-c41c-44c0-a907-453b4ba8bb54","resolution":{"observed_at":"2026-08-06T11:06:52.285264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.12039","last_updated":"2021-02-04T07:16:49Z","snapshot_observed_at":"2026-08-17T11:00:48.199745Z","submitted_at":"2021-01-26T21:47:26Z","title":"Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes","version":2},"cited_work":{"arxiv_id":"2101.12039","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.12039","snapshot_observed_at":"2026-08-06T11:06:52.268177Z","title":"Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes","venue":"gr-qc","work_id":"1202a933-7fa2-4904-8a92-5f8d45a7fe5b","year":2021},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.511869Z"},"links":{"cited_paper":"/paper/2101.12039","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:073dc693e4307d2fec028816c3504896e34d1ab8d6660b19daaf480b7f6fd71b","observation_id":"911e2237-e335-4d49-a1d6-e8f37c67f66c","resolution":{"observed_at":"2026-08-06T11:06:52.271848Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.580987Z","title":null,"venue":null,"work_id":"1783f6bf-12e4-44ca-8bf8-c0c0cb74b717","year":2021},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.514929Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:ddb94b400e4cee0e89ad87f6a57b24e58f3038c2c0e6a5a9d393ee95ec4691a1","observation_id":"d5819b01-a9df-4e85-9e35-47172388d2be","resolution":{"observed_at":"2026-08-06T11:06:52.584023Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1305.3725","last_updated":"2013-05-20T03:41:43Z","snapshot_observed_at":"2026-08-15T00:17:39.190657Z","submitted_at":"2013-05-16T09:14:17Z","title":"On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.3725","snapshot_observed_at":"2026-08-06T11:06:51.517717Z","title":"On t he critical phenomena and thermodynamics of charged topological dilaton AdS black holes","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.517717Z"},"links":{"cited_paper":"/paper/1305.3725","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:4fb00dc3be215946de1458eba6a2d5cd9351f3804be883bcd268820b58eb42cc","observation_id":"46014d52-11cb-49b3-a088-587be5b9b182","resolution":{"observed_at":"2026-08-06T11:06:51.517717Z","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":"2026-08-06T11:06:52.571939Z","title":"Man n, Static spheres around spherically symmetric black hole spacetime","venue":null,"work_id":"a1d6a127-f586-4b0c-9957-44c226f1f7a8","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.521078Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:e2c3b46c8c55e0d3627f9ad98ebfe0596ceb86a5a72926ced5d379a0a964688a","observation_id":"fb86631b-d9b4-4b4a-8321-42ab846fe8bc","resolution":{"observed_at":"2026-08-06T11:06:52.575384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2212.1268","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:06:52.245466Z","title":"Hennigar, Hari K","venue":null,"work_id":"b1b122eb-9627-4d31-964b-d65db6e1cb55","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.524043Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:1716fec7fa3f268ec105d5f3302c5b72ae1e4e11b7f852a0fbb6b3871af92c73","observation_id":"354416bb-c99a-41a5-b6ff-60e3ee6adce8","resolution":{"observed_at":"2026-08-06T11:06:52.250246Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.562512Z","title":null,"venue":null,"work_id":"2d75ed71-09f8-456c-8147-d9fd98496a7d","year":2015},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.527039Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:8a72b0625f2b89d678f207835fc31cc0bb8ae289efbe9c091505cbaf691a11fd","observation_id":"98616c89-1a45-4df4-96c9-1999d4aa25ee","resolution":{"observed_at":"2026-08-06T11:06:52.565397Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.10840","last_updated":"2019-08-17T08:28:38Z","snapshot_observed_at":"2026-08-17T15:59:38.892067Z","submitted_at":"2019-06-26T04:16:59Z","title":"Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.10840","snapshot_observed_at":"2026-08-06T11:06:51.530000Z","title":"Mann, Repulsiv e Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.530000Z"},"links":{"cited_paper":"/paper/1906.10840","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:e4197e427a03bd3924f5ec8175f6054631840b4c6b3564a96e9f8d5501c3acbf","observation_id":"c32ead9f-3d16-45b2-aa73-df1909ef335c","resolution":{"observed_at":"2026-08-06T11:06:51.530000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.10102","last_updated":"2025-02-28T01:50:06Z","snapshot_observed_at":"2026-08-18T02:15:47.689639Z","submitted_at":"2024-11-15T10:54:21Z","title":"Novel topological classes in black hole thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.10102","snapshot_observed_at":"2026-08-06T11:06:51.533123Z","title":"Mann, Novel Topological Classes in Black Hole Thermodynamics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.533123Z"},"links":{"cited_paper":"/paper/2411.10102","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:ae9971b0c3194a60a134bf55a2346e829c2c3379b93621322b094209905c260b","observation_id":"31101f4b-abe8-4720-b04a-eeb0181c131f","resolution":{"observed_at":"2026-08-06T11:06:51.533123Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01932","last_updated":"2022-11-01T06:32:08Z","snapshot_observed_at":"2026-08-17T04:39:31.450336Z","submitted_at":"2022-08-03T09:18:58Z","title":"Black Hole Solutions as Topological Thermodynamic Defects","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01932","snapshot_observed_at":"2026-08-06T11:06:51.536560Z","title":"Mann, Black Hole So lutions as Topological Thermodynamic Defects","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.536560Z"},"links":{"cited_paper":"/paper/2208.01932","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:59254f659e9ed0c924ea478e86fe346eb5bfc29a7cf4bf0bba2935ea6802012f","observation_id":"96fda6a4-4932-47b9-938c-3fcac51aeca2","resolution":{"observed_at":"2026-08-06T11:06:51.536560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.02262","last_updated":"2025-02-10T12:05:48Z","snapshot_observed_at":"2026-08-16T13:13:04.495259Z","submitted_at":"2024-10-03T07:20:04Z","title":"Thermodynamic Topology of Kiselev-AdS Black Holes within f (R, T) gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.02262","snapshot_observed_at":"2026-08-06T11:06:51.539534Z","title":"Afshar, Mohammad Re za Alipour, Yassine Sekhmani, Jafar Sadeghi, Javlon Rayimbaeva","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.539534Z"},"links":{"cited_paper":"/paper/2410.02262","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:dad61488a6c65c36de77158f78cc115fce6959aa76f49f3275ee17aac7d8d1be","observation_id":"3b0097ed-434a-4a49-a55f-5e61e5a20e54","resolution":{"observed_at":"2026-08-06T11:06:51.539534Z","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":"2026-08-06T11:06:51.545170Z","title":"Afsha, Saeed Noo ri Gashti, Jafar Sadeghi, Weak Gravity Conjecture Validation with Photon Spheres of Quantum Corrected AdS-Re issner-Nordstrom Black Holes in Kiselev Spacetime","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.545170Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:959648f63812353b21bdf9feea8e34cedf42ae793225b890c985cc2472a625bc","observation_id":"30009fdc-aa85-4f77-a23d-bb6595c58d2b","resolution":{"observed_at":"2026-08-06T11:06:51.545170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.09782","last_updated":"2024-08-19T08:13:59Z","snapshot_observed_at":"2026-08-16T13:25:36.760187Z","submitted_at":"2024-08-19T08:13:59Z","title":"Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.09782","snapshot_observed_at":"2026-08-06T11:06:51.548386Z","title":"Afshar, Thermodynamic Topology of Quantum Corrected AdS-Reissner-Nordstrom Black Holes i n Kiselev Spacetime, Chin","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.548386Z"},"links":{"cited_paper":"/paper/2408.09782","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:b40519cf6f6b74a963d2abe2838682526376edd2ddaf32c194434451ee2c0ae9","observation_id":"0fb9f168-0120-4c1c-805e-da2cdb8f3e4a","resolution":{"observed_at":"2026-08-06T11:06:51.548386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09122","last_updated":"2024-08-20T06:41:22Z","snapshot_observed_at":"2026-08-16T13:34:49.480602Z","submitted_at":"2024-07-12T09:36:43Z","title":"Topological equivalence and phase transition rate in holographic thermodynamics of regularized Maxwell theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09122","snapshot_observed_at":"2026-08-06T11:06:51.551421Z","title":"Hung, Cao H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.551421Z"},"links":{"cited_paper":"/paper/2407.09122","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:efc4e23c868e22b8609b72f7200085dd631a65075f3910e5832d3b10d4ea0581","observation_id":"c1f033d9-2162-4f4b-819a-f53727f08bf4","resolution":{"observed_at":"2026-08-06T11:06:51.551421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.08793","last_updated":"2024-06-13T03:57:45Z","snapshot_observed_at":"2026-08-16T13:43:30.146678Z","submitted_at":"2024-06-13T03:57:45Z","title":"Topology of the charged AdS black hole in restricted phase space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.08793","snapshot_observed_at":"2026-08-06T11:06:51.554556Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.554556Z"},"links":{"cited_paper":"/paper/2406.08793","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:06baa083b63ff9b6514a1da250d3b98f848a838ca86e822053e4094bed0ef5bd","observation_id":"7a6d24d2-70b8-4a77-8bff-e08543c48bff","resolution":{"observed_at":"2026-08-06T11:06:51.554556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.08243","last_updated":"2024-08-16T07:57:31Z","snapshot_observed_at":"2026-08-16T14:01:32.003209Z","submitted_at":"2024-04-12T05:12:22Z","title":"Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.08243","snapshot_observed_at":"2026-08-06T11:06:51.557528Z","title":"Dark Univ","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.557528Z"},"links":{"cited_paper":"/paper/2404.08243","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:294eced005752ae81d25afde9953680af098391377575df7daecdd72ec5f1573","observation_id":"1f10feb5-20ab-424a-9f89-4248cd2159a3","resolution":{"observed_at":"2026-08-06T11:06:51.557528Z","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":"2026-08-06T11:06:52.554045Z","title":null,"venue":null,"work_id":"174b0a34-c25a-4110-ad11-043f0111ddf1","year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.560591Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:22e75f4101f46d2910d7016d04013a9349279a7351458e8f9edd99f2b4404ecf","observation_id":"c0102aea-a6f6-4751-a8d3-3a1e3ca4b846","resolution":{"observed_at":"2026-08-06T11:06:52.556673Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.04871","last_updated":"2019-04-09T19:05:02Z","snapshot_observed_at":"2026-08-17T06:04:48.357977Z","submitted_at":"2019-04-09T19:05:02Z","title":"Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.04871","snapshot_observed_at":"2026-08-06T11:06:51.563350Z","title":"Mann, Critical Phenomena of Born -Infeld-de Sitter Black Holes in Cavities","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.563350Z"},"links":{"cited_paper":"/paper/1904.04871","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:3875a0baaa2caf55a9f10e2e2432d9414da2ccc75715d170a113080a7cc6e1f6","observation_id":"ef22d37d-e059-49be-8385-c077d74662c1","resolution":{"observed_at":"2026-08-06T11:06:51.563350Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.01567","last_updated":"2020-04-28T17:07:58Z","snapshot_observed_at":"2026-08-11T06:50:11.497369Z","submitted_at":"2020-02-04T22:37:26Z","title":"Thermodynamics of Gauss-Bonnet-de Sitter Black Holes","version":3},"cited_work":{"arxiv_id":"2002.01567","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.01567","snapshot_observed_at":"2026-08-06T11:06:51.947563Z","title":"Thermodynamics of Gauss-Bonnet-de Sitter Black Holes","venue":"gr-qc","work_id":"b82b791d-04c7-43e7-8f17-f76e528a3c99","year":2020},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.566269Z"},"links":{"cited_paper":"/paper/2002.01567","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:6efc052c60620a4808c6a4db220e117b5b4f7bab966f7f8c85cdc4b0223b7930","observation_id":"35824145-2028-4600-b6fc-c15db09c7565","resolution":{"observed_at":"2026-08-06T11:06:51.951096Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1301.5926","last_updated":"2013-05-01T16:21:06Z","snapshot_observed_at":"2026-08-15T00:31:23.449610Z","submitted_at":"2013-01-24T22:36:43Z","title":"Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1301.5926","snapshot_observed_at":"2026-08-06T11:06:51.569382Z","title":"Dolan, David Kastor, David Kubiznak, Robert B","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.569382Z"},"links":{"cited_paper":"/paper/1301.5926","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:85b2bc4d51b2dd2711ef1f19b0b08a547ef80ca06243524bc70db338a7f8bf14","observation_id":"d9849cf1-c50f-48fc-b548-244f2e954f99","resolution":{"observed_at":"2026-08-06T11:06:51.569382Z","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":"2026-08-06T11:06:52.545337Z","title":null,"venue":null,"work_id":"ec97d170-62f8-4c3a-b213-d1f67ea8f9d3","year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.572233Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:a5328b0942c426ff82e490ba91410fdade0049682aba096c2563ea252f5dcd02","observation_id":"5b5ea101-e415-479b-b397-c76cb260fc53","resolution":{"observed_at":"2026-08-06T11:06:52.548291Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.536440Z","title":null,"venue":null,"work_id":"a394403b-8f07-47da-b0ca-c9c7e8903bf0","year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.574986Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:85466bf816fc00814cf2a7a352457de4b11ac54d906af2d90455ecb646af8971","observation_id":"d50df6dd-5fc2-48f1-bdcf-362970661ce5","resolution":{"observed_at":"2026-08-06T11:06:52.539074Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2406.0540","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:06:51.922724Z","title":"Schottky Anomaly of Reissner-Nordstrom-de Sitte r spacetime","venue":null,"work_id":"ded74f66-1ad3-47f7-a4a9-ec153392f0f8","year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.577400Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:a429cf70cb34b8f27ec2e268789112d73f83e4375e720a46c698c6653f4b9bb5","observation_id":"3b7c48a7-c9dc-4a4b-97d7-9e993a86a51f","resolution":{"observed_at":"2026-08-06T11:06:51.927663Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.00539","last_updated":"2019-05-02T01:03:57Z","snapshot_observed_at":"2026-08-14T16:38:31.324745Z","submitted_at":"2019-05-02T01:03:57Z","title":"Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics","version":1},"cited_work":{"arxiv_id":"1905.00539","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.00539","snapshot_observed_at":"2026-08-06T11:06:51.812498Z","title":"Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics","venue":"hep-th","work_id":"b0c98507-23a4-4e47-9d46-df02540f1f76","year":2019},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.580243Z"},"links":{"cited_paper":"/paper/1905.00539","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:01c1e2012348f19bc0e3279a3d06b2bce5dea4180107e5488aada32dd555c85a","observation_id":"76688184-3609-40ad-a875-74347c121ac5","resolution":{"observed_at":"2026-08-06T11:06:51.815805Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.07777","last_updated":"2023-11-13T22:06:11Z","snapshot_observed_at":"2026-08-16T14:43:37.337257Z","submitted_at":"2023-11-13T22:06:11Z","title":"Constrained Spin Systems and KNdS Black Holes","version":1},"cited_work":{"arxiv_id":"2311.07777","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.07777","snapshot_observed_at":"2026-08-06T11:06:51.799468Z","title":"Constrained Spin Systems and KNdS Black Holes","venue":"hep-th","work_id":"5f17dadf-2ab7-428c-b39f-cbd0e569c5b3","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.583229Z"},"links":{"cited_paper":"/paper/2311.07777","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:21ef0759e5e1e9fa0992b65314cd867e2e9e25b4014608448073f118b081901d","observation_id":"7cdeed74-ee9d-4bf8-9e07-4de234067bf3","resolution":{"observed_at":"2026-08-06T11:06:51.802952Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.527386Z","title":"Heisenberg, H","venue":null,"work_id":"6e4b0dd0-5f18-4186-a042-d5d717466f40","year":1936},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.586062Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:4f9567a928f3ac1ba540ef7109a378a6145db5be5228114ab041c2b225a41bb7","observation_id":"5164e255-959c-448c-9a2d-f01906ca8df6","resolution":{"observed_at":"2026-08-06T11:06:52.530305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.517787Z","title":"Euler and B","venue":null,"work_id":"7e1278fa-69df-4ae0-8abe-8d4d832af63a","year":1935},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.588682Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:4ef5e144aad33b77164060bf1f6161637d56251ada24225d5e02497d36dcd5b0","observation_id":"4a9043b6-0f82-499d-a1da-491b1604a7d5","resolution":{"observed_at":"2026-08-06T11:06:52.520911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.508965Z","title":"Schwinger, On Gauge Invariance and Vacuuwn Polariza tion","venue":null,"work_id":"267ec0ad-6723-47d6-9e4a-c66d3c80aa49","year":1951},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.591418Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:6fe4db226c597d0a824193570b2000219613759c7c1b5c8298c9ce740480317d","observation_id":"9e71fe13-14a4-42dc-aa56-7a1740061594","resolution":{"observed_at":"2026-08-06T11:06:52.511893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.498996Z","title":"Schwinger, The Theory of Quantized Fields","venue":null,"work_id":"107e489d-9072-4100-89f3-482e9f8ddace","year":1954},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.594202Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:65bc262fa39355ac7a73876e5c6601fb34df677f584670e9e28a5fe7cc0c41bf","observation_id":"d74e02d4-9a20-41a9-81b2-53c4bb735d43","resolution":{"observed_at":"2026-08-06T11:06:52.501880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.489956Z","title":"Yajima, T","venue":null,"work_id":"249b1246-1772-4086-8ca2-c29574e7eae6","year":2001},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.597022Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:ca2371ee8c26fb42cb51debb402a736c058848671d24bebf299bae3a4a32e37e","observation_id":"9485d123-aa85-47bd-aae8-e11ee2fa7d6f","resolution":{"observed_at":"2026-08-06T11:06:52.492976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.481567Z","title":null,"venue":null,"work_id":"c2886b08-e0f4-47e9-a080-700015501045","year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.599842Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:bd7b6771ea5603162ef2a7efeab85054fe3be6be2932ac4e6ba737e01c5703bd","observation_id":"d579dc7c-3d0c-4229-87c3-cd41341119e6","resolution":{"observed_at":"2026-08-06T11:06:52.484267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.471846Z","title":null,"venue":null,"work_id":"5e91d088-e72d-4fb6-9a9c-7a6e9fee1759","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.602603Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:db50189d1ea97cee0b376ba6457b8462b792146f1c0cd8e088cb52d9f7ff114a","observation_id":"41d49716-c36b-4025-a774-787ac0e843dd","resolution":{"observed_at":"2026-08-06T11:06:52.475080Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.13018","last_updated":"2025-05-22T10:05:21Z","snapshot_observed_at":"2026-08-16T10:46:20.618032Z","submitted_at":"2025-05-19T12:03:26Z","title":"Holographic Einstein Ring of AdS Reissner Nordstr$\\ddot{o}$m Black Holes with Euler Heisenberg Nonlinear Electrodynamics","version":2},"cited_work":{"arxiv_id":"2505.13018","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.13018","snapshot_observed_at":"2026-08-06T11:06:51.784512Z","title":"Holographic Einstein Ring of AdS Reissner Nordstr$\\ddot{o}$m Black Holes with Euler Heisenberg Nonlinear Electrodynamics","venue":"hep-th","work_id":"499edd7f-4f4f-4e54-a305-5d703de5c488","year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.605624Z"},"links":{"cited_paper":"/paper/2505.13018","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:c1a7137019ade977401921e7d68f8efa6e6356fa80989d27d05b90c3a638a89c","observation_id":"b5726317-3e6e-4245-87f4-bd3d386abf9b","resolution":{"observed_at":"2026-08-06T11:06:51.788625Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1501.04863","last_updated":"2015-01-16T14:55:25Z","snapshot_observed_at":"2026-08-17T15:59:43.801982Z","submitted_at":"2015-01-16T14:55:25Z","title":"Thermodynamic instability of topological black holes with nonlinear source","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.04863","snapshot_observed_at":"2026-08-06T11:06:51.608969Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.608969Z"},"links":{"cited_paper":"/paper/1501.04863","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:330361ad0322300ef9c594907d0efae057981fd1ccfa56fa77f66f6ad65eaf74","observation_id":"5dfe7fca-6f7e-4008-b043-e98625df79b5","resolution":{"observed_at":"2026-08-06T11:06:51.608969Z","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":"2026-08-06T11:06:52.461855Z","title":null,"venue":null,"work_id":"79c5727a-fa72-43cf-a327-6fb7f3418792","year":2015},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.611886Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:3be59fe82403065102b524fbf84c7c9e920be6a324352f62fc7435a68355d24f","observation_id":"b0cfc43d-cca9-4c2f-b6ac-bbabb92846de","resolution":{"observed_at":"2026-08-06T11:06:52.464893Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.10309","last_updated":"2021-12-20T09:06:20Z","snapshot_observed_at":"2026-08-17T15:59:18.353462Z","submitted_at":"2021-04-21T02:01:17Z","title":"Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source","version":3},"cited_work":{"arxiv_id":"2104.10309","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.10309","snapshot_observed_at":"2026-08-06T11:06:51.760143Z","title":"Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source","venue":"hep-th","work_id":"aa404dd9-d393-4366-a4f0-b2537524b6fc","year":2021},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.614731Z"},"links":{"cited_paper":"/paper/2104.10309","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:d93d0d95efc2d71932dbaca9332c0ef212148f92252adc3654db02766f745cf9","observation_id":"bc7335c7-680a-43fd-aac4-2d4ad76d5ce6","resolution":{"observed_at":"2026-08-06T11:06:51.763833Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.00656","last_updated":"2015-10-29T16:41:49Z","snapshot_observed_at":"2026-08-14T22:25:43.236219Z","submitted_at":"2015-10-29T16:41:49Z","title":"Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.00656","snapshot_observed_at":"2026-08-06T11:06:51.617592Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.617592Z"},"links":{"cited_paper":"/paper/1511.00656","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:b1521fbc338ac53543428fdd9fcab55718c7dc321c5b96596e9136409154e335","observation_id":"2f62fa80-c6cf-47d8-9039-566c0c305844","resolution":{"observed_at":"2026-08-06T11:06:51.617592Z","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":"2026-08-06T11:06:52.452568Z","title":"Topology of black hole th ermodynamics","venue":null,"work_id":"d8bbce72-e161-4d7b-b812-be1953d13299","year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.620599Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:7d8da9b67d3fe65ae6f42bc01baed2caa9afcae23e54d5c3f29c12b35417f49d","observation_id":"6a6f5d2e-f64d-40c9-b219-6fb92a022374","resolution":{"observed_at":"2026-08-06T11:06:52.455780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09333","last_updated":"2024-12-01T06:36:36Z","snapshot_observed_at":"2026-08-16T13:18:36.993455Z","submitted_at":"2024-09-14T06:25:39Z","title":"Universal topological classifications of black hole thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.09333","snapshot_observed_at":"2026-08-06T11:06:51.623197Z","title":"Mann, Universal to pological classifications of black hole thermodynamics","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.623197Z"},"links":{"cited_paper":"/paper/2409.09333","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:bb11625200dd998a668f837c44478b6edb4382a19ef3bd41ff7dead0848fdd24","observation_id":"3196b25f-5054-4257-bfa7-2b8d55ce5a5e","resolution":{"observed_at":"2026-08-06T11:06:51.623197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.02986","last_updated":"2022-11-05T22:22:16Z","snapshot_observed_at":"2026-08-17T12:47:59.309724Z","submitted_at":"2022-11-05T22:22:16Z","title":"Braided Hopf algebras and gauge transformations II: $*$-structures and examples","version":1},"cited_work":{"arxiv_id":"2211.02986","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.02986","snapshot_observed_at":"2026-08-06T11:06:51.725093Z","title":"Braided Hopf algebras and gauge transformations II: $*$-structures and examples","venue":"math.QA","work_id":"d6436922-94fc-4978-9e08-320af50c89ee","year":2022},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.626190Z"},"links":{"cited_paper":"/paper/2211.02986","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:c986060c6edb7b738f5fe028cb391c36efb8b3a76c337d7ca6a32192ceb85396","observation_id":"07702f05-fb32-40b4-8f4f-6fa954c1bfd7","resolution":{"observed_at":"2026-08-06T11:06:51.730683Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:51.629879Z","title":"arXiv:2412.00889","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.629879Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:148059807d5c9761cfb39055954a915ea5ff585b5d3d794c9d2f8a1dec909aee","observation_id":"9277afe6-facb-4ef6-a9e4-8b24c81ff855","resolution":{"observed_at":"2026-08-06T11:06:51.629879Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.00106","last_updated":"2024-06-28T10:53:46Z","snapshot_observed_at":"2026-08-17T19:17:27.056580Z","submitted_at":"2024-01-31T19:00:01Z","title":"Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.00106","snapshot_observed_at":"2026-08-06T11:06:51.632655Z","title":"JHEP 06, 213 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.632655Z"},"links":{"cited_paper":"/paper/2402.00106","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:618ac4e46bac62e4e01c33066e4bf0fcabbcfd8ee2f11c35d80e04027bb45ce8","observation_id":"3ae683aa-12dd-430b-a339-5f843473f652","resolution":{"observed_at":"2026-08-06T11:06:51.632655Z","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":"2026-08-06T11:06:52.442526Z","title":"Topology an d phase transition for EPYM AdS black hole in thermal 13 potential","venue":null,"work_id":"f1c723bb-4a28-4ea2-93ac-eae8e6a821c9","year":2024},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.635866Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:dd4ad075b8b90807c12c9f21316db7b8058261887b4ba5bc304329ac17ca68f8","observation_id":"88d847e2-e3eb-4e3a-803a-48d033c653a1","resolution":{"observed_at":"2026-08-06T11:06:52.446270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T11:06:52.433632Z","title":"Fan, Topological interpretation for phase transi tions of black holes","venue":null,"work_id":"fdff4031-67f3-443c-8fe2-1ef9f341a795","year":2023},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.638454Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:119d746e1351427f576d8b8b7f821556546827370321662399b342c789463b4c","observation_id":"cb10f2b8-9b1e-43e9-b4d7-af14303f462d","resolution":{"observed_at":"2026-08-06T11:06:52.436662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.00955","last_updated":"2025-01-01T21:15:33Z","snapshot_observed_at":"2026-08-16T15:01:40.740676Z","submitted_at":"2025-01-01T21:15:33Z","title":"Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.00955","snapshot_observed_at":"2026-08-06T11:06:51.641057Z","title":"Afshar, Mohammad Reza Alipour, Saeed No ori Gashti, and Jafar Sadeghi, Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT fr amework","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.641057Z"},"links":{"cited_paper":"/paper/2501.00955","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:e06f5da4548c73a7d4832fd0c6ef7a13b674da8b2d92d5a6835a578b65f5247a","observation_id":"0b5de375-4656-4783-92a1-a4214e219f88","resolution":{"observed_at":"2026-08-06T11:06:51.641057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04739","last_updated":"2025-03-15T05:06:21Z","snapshot_observed_at":"2026-08-16T12:22:04.338570Z","submitted_at":"2025-01-08T02:49:17Z","title":"Universal thermodynamic topological classes of black holes in perfect fluid dark matter background","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.04739","snapshot_observed_at":"2026-08-06T11:06:51.644114Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.644114Z"},"links":{"cited_paper":"/paper/2501.04739","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:7fd0870b338848fd50572736863ca51997858c3a3149987e767ccce59483df85","observation_id":"fa615dec-c15d-4afc-a7a9-8b039ab76a0e","resolution":{"observed_at":"2026-08-06T11:06:51.644114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13914","last_updated":"2025-04-29T11:09:43Z","snapshot_observed_at":"2026-08-17T02:38:08.445788Z","submitted_at":"2025-02-19T17:47:58Z","title":"Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13914","snapshot_observed_at":"2026-08-06T11:06:51.647367Z","title":"JCAP 05, 091 (2025).arXiv:2502.13914 [gr-qc]","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.647367Z"},"links":{"cited_paper":"/paper/2502.13914","citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:bb0a70715a2dc359b839735b56dae0c474610513740c411c0f9ed56a022ffd08","observation_id":"02281294-95cd-49a4-865d-ab3cc874ea37","resolution":{"observed_at":"2026-08-06T11:06:51.647367Z","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":"2026-08-06T11:06:52.424339Z","title":"Mann, Jiayue Yang, Thermodynamics of charged and acceler- ating black holes, Phys","venue":null,"work_id":"072b0d82-e076-474b-b443-70d0b645756e","year":2025},"citing_paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T11:06:51.650251Z"},"links":{"citing_paper":"/paper/2507.23198"},"observation_digest":"sha256:e844bb077bc19c07d30199fb7e3fe4fad00a12da469ad4ff2222c3b3899ed675","observation_id":"2a720d70-6c03-4264-9a79-2bc8b7dba119","resolution":{"observed_at":"2026-08-06T11:06:52.427444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.23198","last_updated":"2025-07-31T02:46:42Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-09T04:08:09.917256Z","submitted_at":"2025-07-31T02:46:42Z","title":"High-order QED correction impacts on phase transition of the Euler-Heisenberg dS spacetime"},"reference_resolution":{"displayed":63,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":36,"verified_exact":12,"verified_fuzzy":14},"total_outbound_references":63},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 2 inbound Pith citation observations for arXiv:2507.23198."}