{"as_of":"2026-08-23T04:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:861450da23262cd84b4922d5d03d8e470d368dad69f6bd02398954c0900d360e","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T20:37:14.999782Z","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":"2026-05-11T14:47:01.967763Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-12T20:37:14.999782Z","title":"Thermodynamic topology of to pological black hole in F (R)- ModMax gravity’s rainbow","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.09557","last_updated":"2024-11-14T16:08:16Z","snapshot_observed_at":"2026-08-18T05:31:12.747049Z","submitted_at":"2024-11-14T16:08:16Z","title":"Mutual Influence of Photon Sphere and Non-Commutative Parameter in Various Non-Commutative Black Holes: Part I- Towards evidence for WGC","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T20:37:14.999782Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2411.09557"},"observation_digest":"sha256:ba1375d21c3ed148e801d0a1c9d4117fe55515c780bd48bbb578ba2b144dad48","observation_id":"38e5a5a7-03e5-4ed8-a650-343fd55fe12e","resolution":{"observed_at":"2026-08-12T20:37:14.999782Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-12T11:57:09.031862Z","title":"Thermodynamic topology of 4D dyonic AdS black holes in diﬀerent ensembles","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.00079","last_updated":"2025-01-02T13:31:54Z","snapshot_observed_at":"2026-08-18T19:47:07.995830Z","submitted_at":"2024-11-26T19:45:08Z","title":"WGC as WCCC protector: The Synergistic Effects of various Parameters in Identifying WGC candidate Models","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T11:57:09.031862Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2412.00079"},"observation_digest":"sha256:4d06bbc2f55f02899bc26463525224a27ebcdc533b390b0390c89ac0cada919f","observation_id":"52ea220d-3c8b-4aa5-9dd5-f0cc3b2bdaf7","resolution":{"observed_at":"2026-08-12T11:57:09.031862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-11T21:33:01.832639Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.04375","last_updated":"2024-12-09T16:19:03Z","snapshot_observed_at":"2026-08-17T23:24:12.297665Z","submitted_at":"2024-12-05T17:49:48Z","title":"Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid $\\lambda$-Phase Transition","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T21:33:01.832639Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2412.04375"},"observation_digest":"sha256:a18324d69edaf7b73dbb75728cddf4caaaa43689bee40d0b788f4e5727c49bc7","observation_id":"58326162-35b0-42f9-85b6-4c12331eeea9","resolution":{"observed_at":"2026-08-11T21:33:01.832639Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-10T22:47:02.927347Z","title":"Thermodynamic topology of topological black hole in F(R)-ModMax gravity’s rainbow","venue":null,"work_id":null,"year":2024},"citing_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},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T22:47:02.927347Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2501.00955"},"observation_digest":"sha256:3a7cf2f7379aa25958cc32d4f5835e439185f031bd1cef9c30ded9c08268d7dd","observation_id":"e2be88db-dffc-4906-8634-e004f1c504c8","resolution":{"observed_at":"2026-08-10T22:47:02.927347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-06T14:09:33.271166Z","title":"Eslam Panah, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22945","last_updated":"2025-07-26T13:09:50Z","snapshot_observed_at":"2026-08-14T00:41:40.791925Z","submitted_at":"2025-07-26T13:09:50Z","title":"Quantum Black Holes: Perihelion Advance, Quasi Normal Modes and Classical/ Topological Thermodynamics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T14:09:33.271166Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2507.22945"},"observation_digest":"sha256:4b1f2287acfbce539ad9a7119aa15aa8a3540269c0545e3e7c6db50743aadd75","observation_id":"1d3236a3-2a6b-4adb-a89c-a1e3d8fe63ab","resolution":{"observed_at":"2026-08-06T14:09:33.271166Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-08-03T07:42:10.141912Z","title":"Ther- modynamic Topology of Topological Black Hole in F(R)- ModMax Gravity’s Rainbow,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2601.20004","last_updated":"2026-06-28T09:40:17Z","snapshot_observed_at":"2026-08-17T09:55:51.496891Z","submitted_at":"2026-01-27T19:19:11Z","title":"Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T07:42:10.141912Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2601.20004"},"observation_digest":"sha256:fa7ad7995f166ee012c78dd46187005a2d09149836f614ca82f81628be974c54","observation_id":"5f06077d-0211-4a1a-bb0f-bd653a058dbc","resolution":{"observed_at":"2026-08-03T07:42:10.141912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow","version":3},"cited_work":{"arxiv_id":"2405.20022","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.20022","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"00cd75c2-281b-4c2b-abc4-f92822b2d742","year":2024},"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":157,"source":"pdf_text","source_observed_at":"2026-05-09T21:02:05.741128Z"},"links":{"cited_paper":"/paper/2405.20022","citing_paper":"/paper/2605.00037"},"observation_digest":"sha256:00d4fff02aca100774f55b0ef8aad0fba8373355fa20d9555be60c457aa47ed2","observation_id":"ef623b38-f29c-45f5-b101-7b4465cab4af","resolution":{"observed_at":"2026-05-11T14:47:01.970672Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.20022/citation-record","integrity":"/paper/2405.20022/integrity","json":"/paper/2405.20022/citation-record.json","paper":"/paper/2405.20022"},"outbound":[],"paper":{"arxiv_id":"2405.20022","last_updated":"2024-11-25T12:16:38Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-08-18T05:45:32.041768Z","submitted_at":"2024-05-30T13:05:09Z","title":"Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2405.20022."}