{"as_of":"2026-08-11T16:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5ca16536318c75560c78ea9709b0070fcb72cecac1aa82cadcad6d7cae020a61","coverage":[{"denominator":95,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":95,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:12:12.895247Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:00:10.957780Z","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":"2026-05-21T11:15:02.293452Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21146","snapshot_observed_at":"2026-08-10T14:00:10.957780Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.15927","last_updated":"2026-06-09T07:25:54Z","snapshot_observed_at":"2026-08-10T15:21:50.357056Z","submitted_at":"2025-01-27T10:25:15Z","title":"Observational implications of Wald-Gauss-Bonnet topological dark energy","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T14:00:10.957780Z"},"links":{"cited_paper":"/paper/2412.21146","citing_paper":"/paper/2501.15927"},"observation_digest":"sha256:e874f5eb701a2b8b5c0e18a0a7b423b7a491a53b60f9f63bdbe06d50bf16f553","observation_id":"477030bc-3732-4176-b5fc-1460e8309dc0","resolution":{"observed_at":"2026-08-10T14:00:10.957780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21146","snapshot_observed_at":"2026-08-03T23:47:54.422230Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.04613","last_updated":"2026-05-28T12:22:43Z","snapshot_observed_at":"2026-08-06T09:05:58.351284Z","submitted_at":"2025-11-06T18:05:18Z","title":"Effective matter sectors from modified entropies","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T23:47:54.422230Z"},"links":{"cited_paper":"/paper/2412.21146","citing_paper":"/paper/2511.04613"},"observation_digest":"sha256:cfb071a202a18e2a8614577823ebc763528a9f085976b1f768d42faec4012c1e","observation_id":"67cb6efa-f55e-434d-8bd3-bf076bbc6918","resolution":{"observed_at":"2026-08-03T23:47:54.422230Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"cited_work":{"arxiv_id":"2412.21146","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.21146","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"df4596b2-b572-46b5-a579-a4b114920382","year":2025},"citing_paper":{"arxiv_id":"2603.03568","last_updated":"2026-05-20T08:27:13Z","snapshot_observed_at":"2026-08-02T18:53:28.752662Z","submitted_at":"2026-03-03T22:54:28Z","title":"Observational constraints on Luciano-Saridakis entropic cosmology","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-05-21T11:14:52.779018Z"},"links":{"cited_paper":"/paper/2412.21146","citing_paper":"/paper/2603.03568"},"observation_digest":"sha256:c7302e0ea23ccbfb9e42e81b074b85035e8a4f33c76a295bf59c52b8b856b642","observation_id":"4f5060b6-c1d7-4a80-b70c-b5670b575470","resolution":{"observed_at":"2026-05-21T11:15:02.295115Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21146","snapshot_observed_at":"2026-08-01T10:53:41.387232Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.20112","last_updated":"2026-07-22T13:13:56Z","snapshot_observed_at":"2026-08-06T21:32:15.862620Z","submitted_at":"2026-07-22T13:13:56Z","title":"Cosmological horizon thermodynamics in Gauss-Bonnet quasi-dilaton Massive Gravity","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T10:53:41.387232Z"},"links":{"cited_paper":"/paper/2412.21146","citing_paper":"/paper/2607.20112"},"observation_digest":"sha256:3cd3f3e3aac37d44c34a69b5d3ba1c17a81ae8760c5ea1d82182b833b6ac6877","observation_id":"0f2eb6c1-6cbb-444b-8596-92b6df416c9a","resolution":{"observed_at":"2026-08-01T10:53:41.387232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.21146","snapshot_observed_at":"2026-08-01T02:46:22.986765Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.26101","last_updated":"2026-07-28T06:59:44Z","snapshot_observed_at":"2026-08-09T15:41:45.187053Z","submitted_at":"2026-07-28T06:59:44Z","title":"Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-01T02:46:22.986765Z"},"links":{"cited_paper":"/paper/2412.21146","citing_paper":"/paper/2607.26101"},"observation_digest":"sha256:3575d7cdb12a2cf1f8032c5353e0a61e3016279e82bb623d0bc86de21c4a9fed","observation_id":"9ab47c4b-00a3-4ebe-87be-0444c3303a1a","resolution":{"observed_at":"2026-08-01T02:46:22.986765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.21146/citation-record","integrity":"/paper/2412.21146/integrity","json":"/paper/2412.21146/citation-record.json","paper":"/paper/2412.21146"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:12:12.368506Z","title":"The cosmic star formation rate density is presented in Fig","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.368506Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:8c5ee9b262ba6c83be2747fc1302ed5285adb4ba93d757b27627d080199d9251","observation_id":"79296f4b-860c-48e7-af7a-49227c9553b6","resolution":{"observed_at":"2026-08-10T23:12:12.368506Z","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":"2026-08-10T23:12:12.375017Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.375017Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:f922a91edbc5a01c4aecde4ab86b247164e923c25d1009dcb89f7012c9f4f470","observation_id":"7d08eb44-b66f-45c7-bea3-162255c4bb22","resolution":{"observed_at":"2026-08-10T23:12:12.375017Z","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":"2026-08-10T23:12:12.381233Z","title":"We elaborate the 8 cosmological equations numerically, imposing Ω DE (z =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.381233Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:9782e14c1a601d90d426f30b71d5c10731bff13dcc91bee06c4428772beefc23","observation_id":"a8cf2082-5047-410e-adc5-f21b9fc34324","resolution":{"observed_at":"2026-08-10T23:12:12.381233Z","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":"2026-08-10T23:12:12.386454Z","title":"In the upper graph of Fig","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.386454Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:d4d8af15e5a3b3bee8ba47d8df54dc41f19206c74ae48dadf34a1bd02ea0cf9a","observation_id":"e457d3b1-fdeb-4e54-80ab-e3745d44f3ea","resolution":{"observed_at":"2026-08-10T23:12:12.386454Z","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":"2026-08-10T23:12:12.392017Z","title":"Addressing observational tensions in cosmology with systematics and fundamental physics (CosmoVerse)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.392017Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:09e125e360f97aab19c3cea78e76feae0c1f08b8e6a9c2d60b2af65f5b04d940","observation_id":"8832c2cb-1e8b-42d8-b7e8-a62b6cd17d6f","resolution":{"observed_at":"2026-08-10T23:12:12.392017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9805201","last_updated":"1998-05-15T03:59:02Z","snapshot_observed_at":"2026-08-04T06:34:53.046342Z","submitted_at":"1998-05-15T03:59:02Z","title":"Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9805201","snapshot_observed_at":"2026-08-10T23:12:12.397660Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.397660Z"},"links":{"cited_paper":"/paper/astro-ph/9805201","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:01ab415c4da634374e87fb6ac4ea3928d58372b53cffc377ef9988abcfe1206e","observation_id":"73c5769c-142b-417f-90cb-a279af061d9d","resolution":{"observed_at":"2026-08-10T23:12:12.397660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9812133","last_updated":"1998-12-08T03:27:34Z","snapshot_observed_at":"2026-07-07T01:23:24.602283Z","submitted_at":"1998-12-08T03:27:34Z","title":"Measurements of Omega and Lambda from 42 High-Redshift Supernovae","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9812133","snapshot_observed_at":"2026-08-10T23:12:12.404522Z","title":"Perlmutter et al","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.404522Z"},"links":{"cited_paper":"/paper/astro-ph/9812133","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:8d2af71e7fbbe242af9e5cc79872774e6280133acc4d0df06f1ca6d06becdf3e","observation_id":"d8100ee1-baa9-49b9-8809-004981eca000","resolution":{"observed_at":"2026-08-10T23:12:12.404522Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0302209","last_updated":"2003-06-17T00:08:05Z","snapshot_observed_at":"2026-07-07T00:31:16.079633Z","submitted_at":"2003-02-11T20:59:59Z","title":"First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0302209","snapshot_observed_at":"2026-08-10T23:12:12.410117Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.410117Z"},"links":{"cited_paper":"/paper/astro-ph/0302209","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:be2b4ab0715264ad45e8c094f2b2104aaab63fbe3583a6e7a26d567a7d8a1d46","observation_id":"8f4a96bd-bbd2-4aeb-a304-7d9c53eb22cb","resolution":{"observed_at":"2026-08-10T23:12:12.410117Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0310723","last_updated":"2004-01-15T15:15:33Z","snapshot_observed_at":"2026-07-07T00:37:41.785563Z","submitted_at":"2003-10-27T20:48:51Z","title":"Cosmological parameters from SDSS and WMAP","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0310723","snapshot_observed_at":"2026-08-10T23:12:12.416138Z","title":"Tegmark et al","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.416138Z"},"links":{"cited_paper":"/paper/astro-ph/0310723","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:a9bb43a94b3871b47b178f21402bb6c60bb2e649fbe06bca104ede857d44fef0","observation_id":"c9355cc4-06a2-47ee-a441-06bf98bc32aa","resolution":{"observed_at":"2026-08-10T23:12:12.416138Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0405340","last_updated":"2004-05-18T09:38:29Z","snapshot_observed_at":"2026-07-07T00:42:33.513665Z","submitted_at":"2004-05-18T09:38:29Z","title":"Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0405340","snapshot_observed_at":"2026-08-10T23:12:12.421722Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.421722Z"},"links":{"cited_paper":"/paper/astro-ph/0405340","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:2723d69acb1149efa5015cfe2f84a5a0e3802e0cae20b772921c5e5645a1f72b","observation_id":"7c80bfb9-34db-411c-8301-ac5e9a27e80e","resolution":{"observed_at":"2026-08-10T23:12:12.421722Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0510447","last_updated":"2005-10-14T17:19:26Z","snapshot_observed_at":"2026-08-08T06:32:24.534848Z","submitted_at":"2005-10-14T17:19:26Z","title":"The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0510447","snapshot_observed_at":"2026-08-10T23:12:12.427239Z","title":"Astier et al","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.427239Z"},"links":{"cited_paper":"/paper/astro-ph/0510447","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:a13c9c162fe015a517cdc061038b72fca11dbda928f2207e3cb372eb9388fab5","observation_id":"6fb1db96-21b5-4be9-b92b-b8085c28b5a0","resolution":{"observed_at":"2026-08-10T23:12:12.427239Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0603057","last_updated":"2006-06-16T10:46:50Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-03-08T01:25:15Z","title":"Dynamics of dark energy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0603057","snapshot_observed_at":"2026-08-10T23:12:12.433444Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.433444Z"},"links":{"cited_paper":"/paper/hep-th/0603057","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:7dc9a990ee3764e9241123f398895df2a27ed452e4c0dbb332ccf212f22243a1","observation_id":"ed9c30c8-5df5-4828-8106-5de4cfc9ab22","resolution":{"observed_at":"2026-08-10T23:12:12.433444Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0909.2776","last_updated":"2010-04-22T15:03:24Z","snapshot_observed_at":"2026-08-08T19:33:35.491944Z","submitted_at":"2009-09-15T11:39:10Z","title":"Quintom Cosmology: Theoretical implications and observations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.2776","snapshot_observed_at":"2026-08-10T23:12:12.438997Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.438997Z"},"links":{"cited_paper":"/paper/0909.2776","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:402c35c4496c5bcdc1476a01b0217ca6522ea1bf0cf9d48e49ca21727a47e719","observation_id":"7651009d-b619-46d4-9b3b-b4a14653bda1","resolution":{"observed_at":"2026-08-10T23:12:12.438997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.12582","last_updated":"2023-05-19T08:36:12Z","snapshot_observed_at":"2026-08-11T07:33:32.043310Z","submitted_at":"2021-05-20T17:25:53Z","title":"Modified Gravity and Cosmology: An Update by the CANTATA Network","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.12582","snapshot_observed_at":"2026-08-10T23:12:12.444634Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.444634Z"},"links":{"cited_paper":"/paper/2105.12582","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:1fa1971704e2b96291996f830a8f9376b4322119eb04c5e8e783c21b4c8ef81a","observation_id":"65c18395-ee8d-4f79-97b1-6b91442dbaaf","resolution":{"observed_at":"2026-08-10T23:12:12.444634Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1108.6266","last_updated":"2011-09-02T14:20:59Z","snapshot_observed_at":"2026-08-03T18:01:11.531316Z","submitted_at":"2011-08-31T15:29:02Z","title":"Extended Theories of Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1108.6266","snapshot_observed_at":"2026-08-10T23:12:12.450306Z","title":"Capozziello and M","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.450306Z"},"links":{"cited_paper":"/paper/1108.6266","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:bd9643d022ae9f37c0b63d416f21b9fc20be1cad79995df6640cad24265b3c5d","observation_id":"a2303bd1-ea45-41fe-8407-c30a268ba1d4","resolution":{"observed_at":"2026-08-10T23:12:12.450306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.07586","last_updated":"2016-09-08T17:34:46Z","snapshot_observed_at":"2026-07-06T04:37:35.431681Z","submitted_at":"2015-11-24T06:36:47Z","title":"f(T) teleparallel gravity and cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.07586","snapshot_observed_at":"2026-08-10T23:12:12.455803Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.455803Z"},"links":{"cited_paper":"/paper/1511.07586","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:c76d751f67f1a2d76a736e9b7a2b7b471d4e8390eee27b90c892992a401fe8ce","observation_id":"3a7acfd5-38de-400d-a527-10b044e20bfc","resolution":{"observed_at":"2026-08-10T23:12:12.455803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.11098","last_updated":"2021-05-23T13:57:25Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2017-05-31T13:41:52Z","title":"Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.11098","snapshot_observed_at":"2026-08-10T23:12:12.462741Z","title":"Nojiri, S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.462741Z"},"links":{"cited_paper":"/paper/1705.11098","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:4c81949a691904875f77708e8411ad79e480fa253bef8afd38ced40cab16c19a","observation_id":"4260b74d-5c3c-4a73-94b0-138912d85cef","resolution":{"observed_at":"2026-08-10T23:12:12.462741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.00409","last_updated":"2025-01-17T21:46:51Z","snapshot_observed_at":"2026-07-06T16:55:29.501535Z","submitted_at":"2023-12-01T08:14:19Z","title":"White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.00409","snapshot_observed_at":"2026-08-10T23:12:12.468620Z","title":"Alves Batista et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.468620Z"},"links":{"cited_paper":"/paper/2312.00409","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:6383dd29ad341950bb306d9d99e699752d831f801516f9eb8d826290fc579576","observation_id":"4191825e-cb72-4d37-a2c4-99bec87a61a0","resolution":{"observed_at":"2026-08-10T23:12:12.468620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05659","last_updated":"2022-03-29T14:45:43Z","snapshot_observed_at":"2026-07-06T12:07:12.996666Z","submitted_at":"2021-11-10T11:54:38Z","title":"Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.05659","snapshot_observed_at":"2026-08-10T23:12:12.474114Z","title":"Addazi et al., Quantum gravity phenomenology at the dawn of the multi-messenger era—A review, Prog","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.474114Z"},"links":{"cited_paper":"/paper/2111.05659","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:dd3d40cf4d08d78f0beaf9f9d06a48f4c968ebc18c8ebafee4411d053fb481e9","observation_id":"9521e225-2db9-4941-a621-de26c656d6fc","resolution":{"observed_at":"2026-08-10T23:12:12.474114Z","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":"2026-08-10T23:12:12.479870Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.479870Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:ed67f0716232bd812b8dfc5cd5821d7de439c4a4d66ce1ea084003557caefc15","observation_id":"7f3fba96-d594-4265-bd56-68fc72c0863a","resolution":{"observed_at":"2026-08-10T23:12:12.479870Z","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":"2026-08-10T23:12:12.485138Z","title":"Zwiebach, Curvature Squared Terms and String The- ories, Phys","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.485138Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:11d19862a42c2914b92d15d98e4681b41e3ab8e6273bc9410863ecf581c26146","observation_id":"4c60054a-75cd-412b-9eb8-d14d9d17135e","resolution":{"observed_at":"2026-08-10T23:12:12.485138Z","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":"2026-08-10T23:12:12.490510Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.490510Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:bb1f5fb80cfaf0d76716fc1f48944806d8456de8611b78b5f4733caee4ed98ea","observation_id":"4bfde1c3-79f1-4abe-97f1-9e9f5649499f","resolution":{"observed_at":"2026-08-10T23:12:12.490510Z","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":"2026-08-10T23:12:12.495889Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.495889Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:10c96db4906f092696195b7fbb426fa2b18b159fa99fd66744477b071cc4e9ad","observation_id":"e7884159-5056-4944-b23d-082ed874dc58","resolution":{"observed_at":"2026-08-10T23:12:12.495889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9408074","last_updated":"1994-09-01T17:11:49Z","snapshot_observed_at":"2026-07-07T05:06:09.972257Z","submitted_at":"1994-08-12T13:48:56Z","title":"A Strong Coupling Test of S-Duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9408074","snapshot_observed_at":"2026-08-10T23:12:12.501656Z","title":"Vafa and E","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.501656Z"},"links":{"cited_paper":"/paper/hep-th/9408074","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b991cfdbc7682c27a1eae91bc3715c7c185ced68adf6adba0730854493c80080","observation_id":"eaf92280-1d9c-4706-9e9a-85f0b8902c65","resolution":{"observed_at":"2026-08-10T23:12:12.501656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9504004","last_updated":"1995-06-06T17:47:58Z","snapshot_observed_at":"2026-07-07T03:25:18.614600Z","submitted_at":"1995-04-04T18:54:14Z","title":"Thermodynamics of Spacetime: The Einstein Equation of State","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9504004","snapshot_observed_at":"2026-08-10T23:12:12.507597Z","title":"Jacobson, Thermodynamics of Spacetime: The Ein- stein Equation of State, Phys","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.507597Z"},"links":{"cited_paper":"/paper/gr-qc/9504004","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:f672d73eb60195c3b42f49d64683651c2fbb22c0a1837a033279b85915d39433","observation_id":"738d6065-7abb-47f8-b3bf-6d1b5f89a308","resolution":{"observed_at":"2026-08-10T23:12:12.507597Z","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":"2026-08-10T23:12:12.513333Z","title":"Padmanabhan, Gravity and the Thermodynamics of Horizons, Phys","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.513333Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:bd7abde5a73bae0da95b99b2b6370ed8375882952787bc9eaf2778cd182df752","observation_id":"5aa975ca-4c86-4b28-8a2b-6718c394bd7c","resolution":{"observed_at":"2026-08-10T23:12:12.513333Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0911.5004","last_updated":"2010-01-19T17:55:15Z","snapshot_observed_at":"2026-07-06T02:03:36.524388Z","submitted_at":"2009-11-26T03:39:55Z","title":"Thermodynamical Aspects of Gravity: New insights","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0911.5004","snapshot_observed_at":"2026-08-10T23:12:12.518565Z","title":"Padmanabhan, Thermodynamical Aspects of Grav- ity: New insights, Rept","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.518565Z"},"links":{"cited_paper":"/paper/0911.5004","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:fed46c18152516e57405d3acf111a0518ac6eb637c04273847152cd91aa8e341","observation_id":"0e48207e-566a-444c-b4fd-5639b47d63d7","resolution":{"observed_at":"2026-08-10T23:12:12.518565Z","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":"2026-08-10T23:12:12.523998Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.523998Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:7c2645515096187f0d77f43ece0d690395ab36536b03856a96b60adc8adbcca2","observation_id":"50e9d135-206b-4a52-b779-aea5e44a5214","resolution":{"observed_at":"2026-08-10T23:12:12.523998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0501055","last_updated":"2005-01-08T08:30:11Z","snapshot_observed_at":"2026-07-07T04:53:00.036051Z","submitted_at":"2005-01-08T08:30:11Z","title":"First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0501055","snapshot_observed_at":"2026-08-10T23:12:12.529567Z","title":"Cai and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.529567Z"},"links":{"cited_paper":"/paper/hep-th/0501055","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:097e483028dda849b4a31638a247f2255ecb64668ba85a10c20018daa224401b","observation_id":"7f4efd56-0ae0-498d-932a-8676d3e3fdf4","resolution":{"observed_at":"2026-08-10T23:12:12.529567Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0609128","last_updated":"2007-03-14T00:20:45Z","snapshot_observed_at":"2026-07-07T04:58:32.532377Z","submitted_at":"2006-09-19T13:04:15Z","title":"Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0609128","snapshot_observed_at":"2026-08-10T23:12:12.537090Z","title":"Akbar and R.-G","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.537090Z"},"links":{"cited_paper":"/paper/hep-th/0609128","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:fc90d4242db2c7f19372085cb3ead7ddb7353fef9d2ef107288fea1ba5132ca6","observation_id":"c3afe04b-7e2c-4e59-8a46-01e7780e1394","resolution":{"observed_at":"2026-08-10T23:12:12.537090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0611071","last_updated":"2007-02-24T07:38:27Z","snapshot_observed_at":"2026-07-07T03:23:19.703580Z","submitted_at":"2006-11-14T04:06:21Z","title":"Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0611071","snapshot_observed_at":"2026-08-10T23:12:12.542887Z","title":"Cai and L.-M","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.542887Z"},"links":{"cited_paper":"/paper/gr-qc/0611071","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:e7876f128419a56738cda39ad2e33340e56cc0e3ff1c010cc946da8a91af8d0e","observation_id":"f970e325-cb54-4382-a8f6-fc3da3ce3588","resolution":{"observed_at":"2026-08-10T23:12:12.542887Z","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":"2026-08-10T23:12:12.548555Z","title":"Paranjape, S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.548555Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:d9727c7cdd63a2ced4424f1020fb5d776f54daafa7318e565fbdc761e9ba4a8b","observation_id":"b06fc344-d6c8-47dc-9f3f-b8b6a1f6b4c6","resolution":{"observed_at":"2026-08-10T23:12:12.548555Z","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":"2026-08-10T23:12:12.554056Z","title":"Sheykhi, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.554056Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:cea3554f9b4c6a9bd0887fae9ccf1dbe8e221053f36bd06058d5121b87649ee5","observation_id":"a16272de-c222-4229-84d6-ef651d69ad53","resolution":{"observed_at":"2026-08-10T23:12:12.554056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0602156","last_updated":"2006-02-22T14:31:13Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-02-16T03:13:26Z","title":"Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0602156","snapshot_observed_at":"2026-08-10T23:12:12.559421Z","title":"Akbar and R.-G","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.559421Z"},"links":{"cited_paper":"/paper/hep-th/0602156","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:2f23c28a633eeb72098e37f7fab9aaf9746efefa13ccefd1ef267f6a4beb9175","observation_id":"bf802d5b-c8b7-4393-9a7f-228123ca001b","resolution":{"observed_at":"2026-08-10T23:12:12.559421Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.0822","last_updated":"2010-07-18T08:14:02Z","snapshot_observed_at":"2026-07-06T02:01:48.846436Z","submitted_at":"2009-10-05T18:40:54Z","title":"Thermodynamics of dark energy interacting with dark matter and radiation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0910.0822","snapshot_observed_at":"2026-08-10T23:12:12.565205Z","title":"Jamil, E","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.565205Z"},"links":{"cited_paper":"/paper/0910.0822","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:e92fe2a203dc0c74147a58787afd63b105c7eae2742f69eb59aa4e3df393a7e7","observation_id":"34080d50-a920-4377-8185-4d5a0baeaf55","resolution":{"observed_at":"2026-08-10T23:12:12.565205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.2307","last_updated":"2010-05-03T03:00:01Z","snapshot_observed_at":"2026-07-06T01:58:38.471928Z","submitted_at":"2009-10-13T05:56:14Z","title":"Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0910.2307","snapshot_observed_at":"2026-08-10T23:12:12.571596Z","title":"Cai and N","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.571596Z"},"links":{"cited_paper":"/paper/0910.2307","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:55aeb7e6554edeb0a1def4a8b3d91d97f2d44fae63239d3ce054b7ff8c79524e","observation_id":"9822fba7-95c1-4bb4-aff6-561bd36b62d6","resolution":{"observed_at":"2026-08-10T23:12:12.571596Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0912.4832","last_updated":"2010-04-23T03:08:59Z","snapshot_observed_at":"2026-08-09T18:37:45.597811Z","submitted_at":"2009-12-24T11:10:21Z","title":"First laws of thermodynamics in IR Modified H\\v{o}rava-Lifshitz gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0912.4832","snapshot_observed_at":"2026-08-10T23:12:12.576523Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.576523Z"},"links":{"cited_paper":"/paper/0912.4832","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:120643255a309637c580d5ef2bf453524c8c861067b1bba183ed3f74ebe77b0a","observation_id":"5801eebb-ff4c-4794-a5ac-e14492baf034","resolution":{"observed_at":"2026-08-10T23:12:12.576523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1003.0876","last_updated":"2010-11-14T08:45:33Z","snapshot_observed_at":"2026-07-06T02:08:34.553361Z","submitted_at":"2010-03-03T18:55:38Z","title":"The generalized second law of thermodynamics in Horava-Lifshitz cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1003.0876","snapshot_observed_at":"2026-08-10T23:12:12.581539Z","title":"Jamil, E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.581539Z"},"links":{"cited_paper":"/paper/1003.0876","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:421ee087c37256d23183f0fd8786d58051ab48f4b0f33b926c4f84e6710f891b","observation_id":"47bbfcb8-1b9b-47df-8066-a75ad649235a","resolution":{"observed_at":"2026-08-10T23:12:12.581539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.4704","last_updated":"2014-07-04T12:39:46Z","snapshot_observed_at":"2026-07-06T03:38:53.011647Z","submitted_at":"2014-03-19T06:27:23Z","title":"The first law of thermodynamics in Lifshitz black holes revisited","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.4704","snapshot_observed_at":"2026-08-10T23:12:12.587167Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.587167Z"},"links":{"cited_paper":"/paper/1403.4704","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:8b0f56846f8af585673eb74a1c773e8963db7966f961ecddfb2289232651e8c1","observation_id":"474d809c-86e1-462f-b515-b427f8c296fb","resolution":{"observed_at":"2026-08-10T23:12:12.587167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.00006","last_updated":"2015-02-13T02:21:24Z","snapshot_observed_at":"2026-07-06T04:05:02.363433Z","submitted_at":"2014-12-30T21:00:11Z","title":"Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.00006","snapshot_observed_at":"2026-08-10T23:12:12.592264Z","title":"Fan and H","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.592264Z"},"links":{"cited_paper":"/paper/1501.00006","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:adab402ed4087cbbafe7f1608e904570593526fee200589566ee02ae60530dcf","observation_id":"121a44ef-995d-4c7f-b30d-d80a3fafd3aa","resolution":{"observed_at":"2026-08-10T23:12:12.592264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04614","last_updated":"2018-12-06T08:51:04Z","snapshot_observed_at":"2026-07-06T06:44:25.518684Z","submitted_at":"2018-06-12T15:45:17Z","title":"Modified cosmology through nonextensive horizon thermodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04614","snapshot_observed_at":"2026-08-10T23:12:12.597602Z","title":"Lymperis and E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.597602Z"},"links":{"cited_paper":"/paper/1806.04614","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:494f1b5f58dc30a423968f13bce23d01ed527eaeaf7f633dc8b2c7a470b410c4","observation_id":"4b5669d8-db7b-49bb-bed3-5c4727837fbe","resolution":{"observed_at":"2026-08-10T23:12:12.597602Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.04115","last_updated":"2020-12-16T13:39:14Z","snapshot_observed_at":"2026-07-06T09:18:47.555571Z","submitted_at":"2020-05-08T15:40:54Z","title":"Barrow holographic dark energy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.04115","snapshot_observed_at":"2026-08-10T23:12:12.603130Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.603130Z"},"links":{"cited_paper":"/paper/2005.04115","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:374c50877b2c62e7adc5d0713e15f279d244c54109f1897f0baccc1ab556534c","observation_id":"744d7c5a-8f26-456b-8aa4-9d69555162fd","resolution":{"observed_at":"2026-08-10T23:12:12.603130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.01200","last_updated":"2024-03-25T15:51:52Z","snapshot_observed_at":"2026-08-09T11:24:17.945084Z","submitted_at":"2023-08-02T15:08:20Z","title":"Alleviating both $H_0$ and $\\sigma_8$ tensions in Tsallis cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.01200","snapshot_observed_at":"2026-08-10T23:12:12.608441Z","title":"Basilakos, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.608441Z"},"links":{"cited_paper":"/paper/2308.01200","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:7ec3e1dc9d896586b7a40658249b393522ac17df91265d6c906f702f79f37d69","observation_id":"9699d58f-5b02-4496-a211-fef86b533ad1","resolution":{"observed_at":"2026-08-10T23:12:12.608441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9307038","last_updated":"1993-07-29T16:37:13Z","snapshot_observed_at":"2026-07-07T03:24:21.295752Z","submitted_at":"1993-07-29T16:37:13Z","title":"Black Hole Entropy is Noether Charge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9307038","snapshot_observed_at":"2026-08-10T23:12:12.613935Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.613935Z"},"links":{"cited_paper":"/paper/gr-qc/9307038","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:3ea39d49f03c8d67b4c09943e343c48a06e872196185dd661b09171469cb3c58","observation_id":"1c250dec-bce7-4bbf-93be-eaf04c9a9a5b","resolution":{"observed_at":"2026-08-10T23:12:12.613935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9403028","last_updated":"1994-03-15T18:18:00Z","snapshot_observed_at":"2026-08-08T08:03:16.411862Z","submitted_at":"1994-03-15T18:18:00Z","title":"Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9403028","snapshot_observed_at":"2026-08-10T23:12:12.620425Z","title":"Iyer and R","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.620425Z"},"links":{"cited_paper":"/paper/gr-qc/9403028","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:cfa7c99563824817b91d8a0f943d9be3a308ed7e5d50ea60ba02e011ae5d04f3","observation_id":"b17bddb8-2c6e-49ee-81a1-18aa20f1bf2a","resolution":{"observed_at":"2026-08-10T23:12:12.620425Z","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":"2026-08-10T23:12:12.625926Z","title":"Lanczos, A Remarkable property of the Riemann- Christoffel tensor in four dimensions, Annals Math","venue":null,"work_id":null,"year":1938},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.625926Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:6f15e32fa4499508292a3f99921418afb221ee16a2f35dc3717f96f321c55cb2","observation_id":"e4c51b9b-3296-4e8f-844a-7a07cfa57dbb","resolution":{"observed_at":"2026-08-10T23:12:12.625926Z","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":"2026-08-10T23:12:12.631062Z","title":"Lovelock, The Einstein tensor and its generalizations, J","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.631062Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:470e3fe7ff88c5a696960e3d99a27803c2f45e169a0f6998ca713453c7b67bd7","observation_id":"4a349ca7-6b0b-4eda-b73b-2041c756d080","resolution":{"observed_at":"2026-08-10T23:12:12.631062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9305016","last_updated":"1993-05-06T01:16:00Z","snapshot_observed_at":"2026-07-07T05:03:04.481102Z","submitted_at":"1993-05-06T01:16:00Z","title":"Entropy of Lovelock Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9305016","snapshot_observed_at":"2026-08-10T23:12:12.636619Z","title":"Jacobson and R","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.636619Z"},"links":{"cited_paper":"/paper/hep-th/9305016","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:560c5f5e07fa8ddfa9bfacfce2a7a481ab7bff7fa2c625ccdb463d6b0ea60fe8","observation_id":"e7b0be15-b19a-4da1-8f12-1ee84b95741a","resolution":{"observed_at":"2026-08-10T23:12:12.636619Z","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":"2026-08-10T23:12:12.642273Z","title":"shen Chern, On the curvatura integra in a riemannian manifold, Annals of Mathematics 46, 674 (1945)","venue":null,"work_id":null,"year":1945},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.642273Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:80a00b5f1cfd2146e3ec8e2c2d8b69ce8f9e5a2b4df0761ee15ccec79a1ca3b8","observation_id":"d466d7e9-8cee-4d4f-a024-e93343cfd9ee","resolution":{"observed_at":"2026-08-10T23:12:12.642273Z","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":"2026-08-10T23:12:12.647395Z","title":"Nakahara, Geometry, topology and physics (2003)","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.647395Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b1d48a0af2eca892713280e79f35d90a556bba72bcab8669ddeff4d71f2c66ef","observation_id":"3cd710b5-c423-4c8a-932e-b6342d98ad22","resolution":{"observed_at":"2026-08-10T23:12:12.647395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.07486","last_updated":"2024-02-28T14:54:28Z","snapshot_observed_at":"2026-07-06T17:00:37.507046Z","submitted_at":"2023-12-12T18:21:41Z","title":"Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.07486","snapshot_observed_at":"2026-08-10T23:12:12.652260Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.652260Z"},"links":{"cited_paper":"/paper/2312.07486","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b65be5190aeffb551786cbb652f48c62fc7ccbbeb8d8dd54b2713b542ce1ad68","observation_id":"f32fa92e-e6bd-41ad-991d-a3769d726c75","resolution":{"observed_at":"2026-08-10T23:12:12.652260Z","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":"2026-08-10T23:12:12.658416Z","title":"Tsilioukas and E","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.658416Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:d1f4d46804506a390bf0e0c688c633f1feba3f4a0e260f7ce0c033c4f85f0217","observation_id":"136ba579-3a84-490c-9f4c-8eb9851cfb4f","resolution":{"observed_at":"2026-08-10T23:12:12.658416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.4988","last_updated":"2015-10-02T21:34:28Z","snapshot_observed_at":"2026-07-06T02:19:36.016111Z","submitted_at":"2010-11-23T01:56:27Z","title":"Second Law Violations in Lovelock Gravity for Black Hole Mergers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.4988","snapshot_observed_at":"2026-08-10T23:12:12.663359Z","title":"Sarkar and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.663359Z"},"links":{"cited_paper":"/paper/1011.4988","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:ff7d2ab0e2a457ab0075fb970026a1571da7d2e9704b0ebe6b5ee7e441e64754","observation_id":"fde72b13-4259-4f90-8ac3-58a6e93e90b8","resolution":{"observed_at":"2026-08-10T23:12:12.663359Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.1518","last_updated":"2008-03-05T17:44:38Z","snapshot_observed_at":"2026-07-06T01:27:11.474041Z","submitted_at":"2007-05-10T19:10:06Z","title":"Topological deformation of isolated horizons","version":6},"cited_work":{"arxiv_id":"0705.1518","doi":null,"metadata_source":"pith","pith_arxiv_id":"0705.1518","snapshot_observed_at":"2026-08-10T23:12:14.615698Z","title":"Topological deformation of isolated horizons","venue":"gr-qc","work_id":"ac539d6d-841c-4a0c-b8db-24a62319a035","year":2007},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.668552Z"},"links":{"cited_paper":"/paper/0705.1518","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:886e550213ce645ff5c2d8ab97a01b7ad62b88eef80950c5b26e78e230971d6e","observation_id":"fcf5bd02-006f-4aca-bed6-964affb42d48","resolution":{"observed_at":"2026-08-10T23:12:14.628534Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-10T23:12:16.068863Z","title":"Farb and D","venue":null,"work_id":"d1f7f3ba-3f67-47b1-b2d7-05eae6fd817e","year":2012},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.674873Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:6fc57c090b8240d4dd64d7879aca598aaddcbed565707c832b6112d56b993a23","observation_id":"18da23ff-6856-4330-8c35-4dadbb44e638","resolution":{"observed_at":"2026-08-10T23:12:16.076003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9310026","last_updated":"2009-03-20T21:49:19Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1993-10-19T14:17:10Z","title":"Dimensional Reduction in Quantum Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9310026","snapshot_observed_at":"2026-08-10T23:12:12.680025Z","title":"’t Hooft, Dimensional Reduction in Quantum Gravity, Conf","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.680025Z"},"links":{"cited_paper":"/paper/gr-qc/9310026","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:3fb509d3fa208e49b4fbb4529a1c77dd2fae821ee37a73405f703d0d3fda7944","observation_id":"c2ed6ab3-824e-4c17-b8ee-aecbe87be022","resolution":{"observed_at":"2026-08-10T23:12:12.680025Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9409089","last_updated":"1994-09-28T01:12:55Z","snapshot_observed_at":"2026-07-07T05:06:21.473375Z","submitted_at":"1994-09-15T23:14:18Z","title":"The World as a Hologram","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9409089","snapshot_observed_at":"2026-08-10T23:12:12.685378Z","title":"Susskind, The World as a hologram, J","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.685378Z"},"links":{"cited_paper":"/paper/hep-th/9409089","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:0bf8a20094418a32a00ff20f5b97f12ea607b39d321bb43bad202e1c6b9e419b","observation_id":"00b1aa92-f681-40ce-9fe8-b573bddc2f3e","resolution":{"observed_at":"2026-08-10T23:12:12.685378Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9806039","last_updated":"1998-06-11T22:31:30Z","snapshot_observed_at":"2026-07-07T05:16:56.294112Z","submitted_at":"1998-06-04T18:48:23Z","title":"Holography and Cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9806039","snapshot_observed_at":"2026-08-10T23:12:12.690376Z","title":"Fischler and L","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.690376Z"},"links":{"cited_paper":"/paper/hep-th/9806039","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:9928758f129b359285c28a4d26cdd76c401d4b93e457baeac0e4a8bc3aba5d8a","observation_id":"d7ac6884-b0aa-4e0e-ad5d-2b55eff5bc3b","resolution":{"observed_at":"2026-08-10T23:12:12.690376Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0203101","last_updated":"2002-06-29T01:46:21Z","snapshot_observed_at":"2026-07-07T04:42:51.380199Z","submitted_at":"2002-03-12T02:34:36Z","title":"The holographic principle","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0203101","snapshot_observed_at":"2026-08-10T23:12:12.695559Z","title":"Bousso, The Holographic principle, Rev","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.695559Z"},"links":{"cited_paper":"/paper/hep-th/0203101","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:5c2ec3688997efb981997c5b8987f670e9955bfae9e255cb9001016f40308d78","observation_id":"76e9f40b-481c-41cc-85ac-09d9f9f0f74b","resolution":{"observed_at":"2026-08-10T23:12:12.695559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0001145","last_updated":"2000-01-22T00:22:45Z","snapshot_observed_at":"2026-07-07T04:35:43.869492Z","submitted_at":"2000-01-22T00:22:45Z","title":"Probable Values of the Cosmological Constant in a Holographic Theory","version":1},"cited_work":{"arxiv_id":"hep-th/0001145","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0001145","snapshot_observed_at":"2026-08-10T23:12:14.449231Z","title":"Probable Values of the Cosmological Constant in a Holographic Theory","venue":"hep-th","work_id":"34f7ad40-1110-4f03-88ee-93645eedb472","year":2000},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.700527Z"},"links":{"cited_paper":"/paper/hep-th/0001145","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:783c560afd98e5b1d44327a779ae1f2daebb0c59347ffa2bb3340efa48e2ffd0","observation_id":"e3d9d28d-af3b-4827-8a8a-f0b503a935fc","resolution":{"observed_at":"2026-08-10T23:12:14.463156Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0403127","last_updated":"2004-08-13T12:54:51Z","snapshot_observed_at":"2026-07-07T04:50:02.762457Z","submitted_at":"2004-03-11T14:18:14Z","title":"A Model of Holographic Dark Energy","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0403127","snapshot_observed_at":"2026-08-10T23:12:12.705654Z","title":"Li, A Model of holographic dark energy, Phys","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.705654Z"},"links":{"cited_paper":"/paper/hep-th/0403127","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:4b6c3cbb1352d721571b36ccd2c9567b93a53553322fa30a90028731b004612e","observation_id":"b11c2005-6361-439f-b7f3-93865dd038f2","resolution":{"observed_at":"2026-08-10T23:12:12.705654Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1612.00345","last_updated":"2017-06-21T13:26:47Z","snapshot_observed_at":"2026-08-03T13:14:46.914269Z","submitted_at":"2016-12-01T16:46:23Z","title":"Holographic Dark Energy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.00345","snapshot_observed_at":"2026-08-10T23:12:12.710666Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.710666Z"},"links":{"cited_paper":"/paper/1612.00345","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:9d30d30bcc7d05cd4d35728a487d8b4b337d5007d07def09b7499c777514ea54","observation_id":"0cd467c4-9071-4148-85b6-0f46483a8292","resolution":{"observed_at":"2026-08-10T23:12:12.710666Z","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":"ph/0404229","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:12:14.331002Z","title":"Huang and M","venue":null,"work_id":"9b3afd92-5a71-4bae-80a2-5d9c1db875c4","year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.715682Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:0ea03d8332a2245d4bc08e80bc82531bd983d3c53b60bf97f0b980130be2daf6","observation_id":"06ff482e-77ad-40a4-b1e6-4e75dae27ccf","resolution":{"observed_at":"2026-08-10T23:12:14.342358Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0505020","last_updated":"2005-09-26T13:02:51Z","snapshot_observed_at":"2026-08-05T00:05:45.033368Z","submitted_at":"2005-05-04T09:48:35Z","title":"Holographic dark energy and cosmic coincidence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0505020","snapshot_observed_at":"2026-08-10T23:12:12.720555Z","title":"Pavon and W","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.720555Z"},"links":{"cited_paper":"/paper/gr-qc/0505020","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:be918c969160644a7da300bf8e1f7d7371bba368d9186636907b9e19e434518a","observation_id":"088be2d5-bea0-4e23-a836-0337c63f1a40","resolution":{"observed_at":"2026-08-10T23:12:12.720555Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0506069","last_updated":"2005-08-07T07:55:39Z","snapshot_observed_at":"2026-07-07T04:54:20.781743Z","submitted_at":"2005-06-09T07:15:09Z","title":"Transition of the dark energy equation of state in an interacting holographic dark energy model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0506069","snapshot_observed_at":"2026-08-10T23:12:12.726244Z","title":"Wang, Y.-g","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.726244Z"},"links":{"cited_paper":"/paper/hep-th/0506069","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b97f61564c588ce6dc753ce4a9dd767ca96eda056b4ba33f2d89a66427c09976","observation_id":"0acec78d-8b52-4889-9c9a-871a52dba36d","resolution":{"observed_at":"2026-08-10T23:12:12.726244Z","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":"2026-08-10T23:12:12.731581Z","title":"Nojiri and S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.731581Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:e2275f6be55ebcf591239682e7bf8a43caddd79e9c116cfe70e92d6736e04f7c","observation_id":"b144f611-7507-4fe9-a43e-0ee3c69262aa","resolution":{"observed_at":"2026-08-10T23:12:12.731581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.0928","last_updated":"2009-06-27T04:47:11Z","snapshot_observed_at":"2026-07-06T01:55:44.364739Z","submitted_at":"2009-04-06T14:22:22Z","title":"Holographic dark energy models: A comparison from the latest observational data","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.0928","snapshot_observed_at":"2026-08-10T23:12:12.737063Z","title":"Li, X.-D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.737063Z"},"links":{"cited_paper":"/paper/0904.0928","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:35e2c72bae7436b4d14926294ef785c932c8eedecfd98bd613870bb3e63b9896","observation_id":"fe13dce3-0e67-48e2-8a99-66c3347c9fad","resolution":{"observed_at":"2026-08-10T23:12:12.737063Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0810.0645","last_updated":"2008-12-11T18:39:34Z","snapshot_observed_at":"2026-08-02T20:11:41.711424Z","submitted_at":"2008-10-03T14:18:08Z","title":"Non-minimally coupled canonical, phantom and quintom models of holographic dark energy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0810.0645","snapshot_observed_at":"2026-08-10T23:12:12.743363Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.743363Z"},"links":{"cited_paper":"/paper/0810.0645","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:c0907f6612b27e2195772fd91f7598f196b190a4d6ddd8aba1c92ad5a8d834e7","observation_id":"1e13e63c-4e78-4832-927f-5d5f341778a6","resolution":{"observed_at":"2026-08-10T23:12:12.743363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0810.3296","last_updated":"2008-10-18T08:17:03Z","snapshot_observed_at":"2026-07-06T01:46:49.159215Z","submitted_at":"2008-10-18T08:17:03Z","title":"Correspondence between Holographic and Gauss-Bonnet dark energy models","version":1},"cited_work":{"arxiv_id":"0810.3296","doi":null,"metadata_source":"pith","pith_arxiv_id":"0810.3296","snapshot_observed_at":"2026-08-10T23:12:13.589308Z","title":"Correspondence between Holographic and Gauss-Bonnet dark energy models","venue":"hep-th","work_id":"edc33662-209f-4c84-bbf9-978fcf3f8d6f","year":2008},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.748594Z"},"links":{"cited_paper":"/paper/0810.3296","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:69a026b10c7fabb76e91f50d1a00ae82f02092127c6f66a23a5f8fc975b1c3fa","observation_id":"fbd6499a-19ad-4938-a399-83a4155394b5","resolution":{"observed_at":"2026-08-10T23:12:13.601449Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.09331","last_updated":"2018-04-04T19:59:56Z","snapshot_observed_at":"2026-07-06T05:53:10.980136Z","submitted_at":"2017-07-28T17:10:54Z","title":"Ricci-Gauss-Bonnet holographic dark energy","version":2},"cited_work":{"arxiv_id":"1707.09331","doi":null,"metadata_source":"pith","pith_arxiv_id":"1707.09331","snapshot_observed_at":"2026-08-10T23:12:13.562502Z","title":"Ricci-Gauss-Bonnet holographic dark energy","venue":"gr-qc","work_id":"8170aa0f-789c-4b4b-af53-54f5db0fc9c1","year":2017},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.753811Z"},"links":{"cited_paper":"/paper/1707.09331","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:6c7ca99ce4a9f1ce586eff17d87abfd43a72076ab9f990fd8c02e11f140c05ec","observation_id":"44dfbe5d-2f27-45c5-b23e-f7bd5bea6ec9","resolution":{"observed_at":"2026-08-10T23:12:13.568256Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.01301","last_updated":"2018-12-11T08:34:50Z","snapshot_observed_at":"2026-07-06T06:42:54.610341Z","submitted_at":"2018-06-04T18:07:21Z","title":"Holographic dark energy through Tsallis entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.01301","snapshot_observed_at":"2026-08-10T23:12:12.759570Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.759570Z"},"links":{"cited_paper":"/paper/1806.01301","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b7f156f356275bfb5d781cdb470ebb7bfbe7bce363dfffbf1f2264a1323706fa","observation_id":"160d9a21-91f9-4763-a11c-71d1be0175f9","resolution":{"observed_at":"2026-08-10T23:12:12.759570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.09181","last_updated":"2022-05-16T09:23:20Z","snapshot_observed_at":"2026-08-10T07:51:23.842403Z","submitted_at":"2021-09-19T18:08:40Z","title":"Kaniadakis holographic dark energy and cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.09181","snapshot_observed_at":"2026-08-10T23:12:12.764771Z","title":"Drepanou, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.764771Z"},"links":{"cited_paper":"/paper/2109.09181","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:5bcca151576d687b1a0ac719b2cc0aff7dfb4547f28679d98db77c0e0cf9976b","observation_id":"1aa73139-2838-45fc-81f2-aaa99b14c03a","resolution":{"observed_at":"2026-08-10T23:12:12.764771Z","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":"2026-08-10T23:12:16.047008Z","title":null,"venue":null,"work_id":"42dbe5bb-5fae-4d0a-b55d-6af36ac71bc4","year":1971},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.771054Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:53587c9a4ca462a19f2b1f53d5d698b9bb7c2eb25afa6b81333f2360e4b5ba8c","observation_id":"ecbf01f6-8400-44ea-bbeb-449a5a725020","resolution":{"observed_at":"2026-08-10T23:12:16.053920Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02771","last_updated":"2022-09-27T14:05:06Z","snapshot_observed_at":"2026-08-04T17:38:53.826258Z","submitted_at":"2022-07-06T16:04:23Z","title":"Forecasting the detection capabilities of third-generation gravitational-wave detectors using $\\texttt{GWFAST}$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02771","snapshot_observed_at":"2026-08-10T23:12:12.775720Z","title":"Iacovelli, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.775720Z"},"links":{"cited_paper":"/paper/2207.02771","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b70d0624edc7df850353d7206fa92c15db9a9e062e64ee7cfc7163c65d6f6e83","observation_id":"9bb39829-197a-4c81-86c1-e5a4c93177a0","resolution":{"observed_at":"2026-08-10T23:12:12.775720Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.10421","last_updated":"2024-02-02T18:48:35Z","snapshot_observed_at":"2026-08-10T15:00:59.627053Z","submitted_at":"2023-07-19T19:15:11Z","title":"Characterizing Gravitational Wave Detector Networks: From A$^\\sharp$ to Cosmic Explorer","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.10421","snapshot_observed_at":"2026-08-10T23:12:12.781113Z","title":"Gupta et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.781113Z"},"links":{"cited_paper":"/paper/2307.10421","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:05a2509e04e75e1c876b6ecceeca9f5e5e72ec56350e46b89deaa21fcf47ca03","observation_id":"e3278ce7-1301-477b-b31a-979bb68e42a8","resolution":{"observed_at":"2026-08-10T23:12:12.781113Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.09861","last_updated":"2023-09-27T13:25:23Z","snapshot_observed_at":"2026-08-10T14:06:04.749541Z","submitted_at":"2023-06-16T14:18:29Z","title":"Astrophysical Uncertainties in the Gravitational-Wave Background from Stellar-Mass Compact Binary Mergers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.09861","snapshot_observed_at":"2026-08-10T23:12:12.786705Z","title":"Lehoucq, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.786705Z"},"links":{"cited_paper":"/paper/2306.09861","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:1e2b5124b24fb8f76b4394028f40b82396fed7cffceda7ed71596d835cb69402","observation_id":"f1ccc7ff-75fc-4619-b791-63e0f028351e","resolution":{"observed_at":"2026-08-10T23:12:12.786705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.0007","last_updated":"2014-06-13T01:11:59Z","snapshot_observed_at":"2026-08-04T05:19:08.451508Z","submitted_at":"2014-02-28T21:00:32Z","title":"Cosmic Star Formation History","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.0007","snapshot_observed_at":"2026-08-10T23:12:12.792228Z","title":"Madau and M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.792228Z"},"links":{"cited_paper":"/paper/1403.0007","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:37abbb37d767fc56433e1059312a23e42c653e69f2a58c447c6e8d6492e5efac","observation_id":"dad72666-04c1-4a1a-aee7-1156dcaa2762","resolution":{"observed_at":"2026-08-10T23:12:12.792228Z","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":"2026-08-10T23:12:16.027332Z","title":null,"venue":null,"work_id":"76cb0bc9-771c-42dd-bb2b-99bb405a20c6","year":1955},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.797972Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:2f7358c475981459455265a074940cc7894dcdaf407712afaf2ad0017b844ba1","observation_id":"9c4a96c4-9be6-419d-9444-92103f23d2f1","resolution":{"observed_at":"2026-08-10T23:12:16.033930Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0107037","last_updated":"2001-10-31T23:10:41Z","snapshot_observed_at":"2026-07-07T00:19:32.170803Z","submitted_at":"2001-07-03T02:02:35Z","title":"The Nucleosynthetic Signature of Population III","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0107037","snapshot_observed_at":"2026-08-10T23:12:12.803491Z","title":"Heger and S","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.803491Z"},"links":{"cited_paper":"/paper/astro-ph/0107037","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:00acc5f58c6fb8055150165326bf661b1aa8a3e5e663fc5e33f20f5ec8cd94bb","observation_id":"c4284a2e-0180-4233-b592-07c7f1a4194c","resolution":{"observed_at":"2026-08-10T23:12:12.803491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1110.1726","last_updated":"2011-10-08T12:04:18Z","snapshot_observed_at":"2026-07-06T02:35:26.087727Z","submitted_at":"2011-10-08T12:04:18Z","title":"Compact Remnant Mass Function: Dependence on the Explosion Mechanism and Metallicity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1110.1726","snapshot_observed_at":"2026-08-10T23:12:12.809015Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.809015Z"},"links":{"cited_paper":"/paper/1110.1726","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:0cc04d33c101d8f82395422433c680521cd978bb63f89d9e059807cc2bf4c6f5","observation_id":"b79180c1-0303-4c9c-8e2c-d2f0709f5bee","resolution":{"observed_at":"2026-08-10T23:12:12.809015Z","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":"2026-08-10T23:12:16.008084Z","title":null,"venue":null,"work_id":"09c8650a-189d-44bb-8db0-23e0800be3e5","year":2002},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.814927Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:11e33ea745d832221c18bd81ed7c1372b1dd9f58982fe3430731f6e139f6ea6b","observation_id":"43a8ca82-dbc0-4c89-910d-607307ce5157","resolution":{"observed_at":"2026-08-10T23:12:16.014838Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.04643","last_updated":"2016-02-13T11:19:23Z","snapshot_observed_at":"2026-08-08T17:52:32.514201Z","submitted_at":"2015-10-15T17:45:30Z","title":"Core-Collapse Supernovae from 9 to 120 Solar Masses Based on Neutrino-powered Explosions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.04643","snapshot_observed_at":"2026-08-10T23:12:12.819833Z","title":"Sukhbold, T","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.819833Z"},"links":{"cited_paper":"/paper/1510.04643","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:1f75553ba0c5ea6798c8175a46dbb7bf3d88c134ca09406b4707f38cc70960d7","observation_id":"3f687d39-32d7-414e-8290-594d79683f5d","resolution":{"observed_at":"2026-08-10T23:12:12.819833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.01623","last_updated":"2024-05-02T18:00:00Z","snapshot_observed_at":"2026-07-06T18:09:00.688840Z","submitted_at":"2024-05-02T18:00:00Z","title":"The Binary Black Hole Merger Rate Deviates From the Cosmic Star Formation Rate: A Tug of War Between Metallicity and Delay Times","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.01623","snapshot_observed_at":"2026-08-10T23:12:12.825285Z","title":"Boesky, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.825285Z"},"links":{"cited_paper":"/paper/2405.01623","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:5ba3a0b71e7ee7393b06767788a73506b0393883a9aca95ff125ec7d95d2d2d0","observation_id":"96be81e9-17ec-4420-980c-c71f10bfb9f6","resolution":{"observed_at":"2026-08-10T23:12:12.825285Z","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":"2026-08-10T23:12:15.983751Z","title":"Sana et al","venue":null,"work_id":"09c21403-c7fb-4288-8a80-55b149d2bdaa","year":2012},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.831246Z"},"links":{"citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:d3cc063885a7af0a643051d18a92802ce6c1770162249c3b26a5f3f06d465c32","observation_id":"4571654d-7fe2-45a1-a475-da297217def8","resolution":{"observed_at":"2026-08-10T23:12:15.992820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1602.04531","last_updated":"2016-06-22T16:33:04Z","snapshot_observed_at":"2026-08-07T20:40:18.383836Z","submitted_at":"2016-02-15T00:21:36Z","title":"The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.04531","snapshot_observed_at":"2026-08-10T23:12:12.836660Z","title":"Belczynski, D","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.836660Z"},"links":{"cited_paper":"/paper/1602.04531","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:6f79b465504119ea6e8a3dff9c2a49cec07dcf98bb8a265d23af063c2602485b","observation_id":"3890b5b8-3525-4649-8a3c-37ae832913b5","resolution":{"observed_at":"2026-08-10T23:12:12.836660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1602.03790","last_updated":"2016-07-19T23:36:30Z","snapshot_observed_at":"2026-08-10T08:55:38.858539Z","submitted_at":"2016-02-11T16:51:52Z","title":"BPASS predictions for Binary Black-Hole Mergers","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.03790","snapshot_observed_at":"2026-08-10T23:12:12.842202Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.842202Z"},"links":{"cited_paper":"/paper/1602.03790","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:b8d58aeac36360264f6e1f7ec2cf23eea45fa4c2374b339a94ee5f8dccdb5213","observation_id":"ceb111fd-5cbc-4340-9abc-c94e1ea3e5e3","resolution":{"observed_at":"2026-08-10T23:12:12.842202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.4901","last_updated":"2012-09-10T18:47:18Z","snapshot_observed_at":"2026-07-06T02:43:21.718179Z","submitted_at":"2012-02-22T13:22:46Z","title":"Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.4901","snapshot_observed_at":"2026-08-10T23:12:12.847707Z","title":"Dominik et al., Double Compact Objects","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.847707Z"},"links":{"cited_paper":"/paper/1202.4901","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:114ad93dd575fbcbc808292c0300320bf8fe5d80a3c7c14a8b7ce0fecf535b88","observation_id":"d6b3f9b6-7a25-46d6-9f01-28e9807b8f25","resolution":{"observed_at":"2026-08-10T23:12:12.847707Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.05347","last_updated":"2017-05-24T19:53:32Z","snapshot_observed_at":"2026-08-07T09:41:22.898380Z","submitted_at":"2016-06-16T20:00:01Z","title":"Mind your Ps and Qs: the Interrelation between Period (P) and Mass-ratio (Q) Distributions of Binary Stars","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.05347","snapshot_observed_at":"2026-08-10T23:12:12.852990Z","title":"Moe and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.852990Z"},"links":{"cited_paper":"/paper/1606.05347","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:278c37929b8a55bcd60d6f3e05aa1a9aa77d73956e489bfb1482d5af1c57eb20","observation_id":"c27e0cd9-2b3f-4c05-a804-670678fc4cf5","resolution":{"observed_at":"2026-08-10T23:12:12.852990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1303.3028","last_updated":"2013-03-12T21:01:24Z","snapshot_observed_at":"2026-07-06T03:08:36.193474Z","submitted_at":"2013-03-12T21:01:24Z","title":"Stellar Multiplicity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.3028","snapshot_observed_at":"2026-08-10T23:12:12.860013Z","title":"Duchene and A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.860013Z"},"links":{"cited_paper":"/paper/1303.3028","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:359613837be370026731cf522e3ffb22014d750282592a70771fdde6bc42afce","observation_id":"8039f887-f0e7-4436-b56a-809d5de9779d","resolution":{"observed_at":"2026-08-10T23:12:12.860013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.06209","last_updated":"2021-08-09T10:43:18Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-07-17T04:05:07Z","title":"Planck 2018 results. VI. Cosmological parameters","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.06209","snapshot_observed_at":"2026-08-10T23:12:12.865848Z","title":"Aghanim and others [Planck Collaboration], Planck 2018 results","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.865848Z"},"links":{"cited_paper":"/paper/1807.06209","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:980db81c33f2474ff06fbd6a1ecd5e636cc64b0563752a9225d399aeb16e9cff","observation_id":"83dec74b-6199-4bcb-9b3b-03892b159204","resolution":{"observed_at":"2026-08-10T23:12:12.865848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.11112","last_updated":"2018-09-27T10:53:37Z","snapshot_observed_at":"2026-07-06T06:47:25.889567Z","submitted_at":"2018-06-28T18:00:00Z","title":"Formation of LISA Black Hole Binaries in Merging Dwarf Galaxies: the Imprint of Dark Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.11112","snapshot_observed_at":"2026-08-10T23:12:12.871763Z","title":"Fragione, N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.871763Z"},"links":{"cited_paper":"/paper/1806.11112","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:007b59eba3497d994860b86b05ff958d12f78a57a6a69d1c139fc7ea3b8aaf80","observation_id":"7d3a31e1-b186-4f00-8c77-ae07e5f717a7","resolution":{"observed_at":"2026-08-10T23:12:12.871763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.08428","last_updated":"2020-04-17T19:34:34Z","snapshot_observed_at":"2026-08-10T13:37:36.944412Z","submitted_at":"2020-04-17T19:34:34Z","title":"Renormalizing individual performance metrics for cultural heritage management of sports records","version":1},"cited_work":{"arxiv_id":"2004.08428","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.08428","snapshot_observed_at":"2026-08-10T23:12:13.013032Z","title":"Renormalizing individual performance metrics for cultural heritage management of sports records","venue":"physics.soc-ph","work_id":"db2d131d-07ad-4463-a491-36157b6aa025","year":2020},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.877055Z"},"links":{"cited_paper":"/paper/2004.08428","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:feffc6744b569ca1853d83e3ef06663171deec2bc459be8df387a036cb286260","observation_id":"cad264f0-e807-4a26-bd54-7efb104156e8","resolution":{"observed_at":"2026-08-10T23:12:13.020184Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.03065","last_updated":"2020-10-16T13:23:00Z","snapshot_observed_at":"2026-08-06T15:54:22.724775Z","submitted_at":"2020-06-04T18:00:02Z","title":"Massive black hole merger rates: the effect of kpc separation wandering and supernova feedback","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.03065","snapshot_observed_at":"2026-08-10T23:12:12.883349Z","title":"Barausse, I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.883349Z"},"links":{"cited_paper":"/paper/2006.03065","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:766c2ecc8d201aefde3edc3174df49f3b077f5ee410fb5d6690d51a73ec4cf9d","observation_id":"03302a48-d476-4b9e-94ed-f1ca15d9f265","resolution":{"observed_at":"2026-08-10T23:12:12.883349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.09084","last_updated":"2021-07-19T18:00:15Z","snapshot_observed_at":"2026-08-03T16:27:19.495777Z","submitted_at":"2021-07-19T18:00:15Z","title":"On the detectability of massive black hole merger eventsby LISA","version":1},"cited_work":{"arxiv_id":"2107.09084","doi":null,"metadata_source":"pith","pith_arxiv_id":"2107.09084","snapshot_observed_at":"2026-08-10T23:12:12.965970Z","title":"On the detectability of massive black hole merger eventsby LISA","venue":"astro-ph.HE","work_id":"adbd5dcd-6cad-48cd-a54f-7a1c2f3f7100","year":2021},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.889609Z"},"links":{"cited_paper":"/paper/2107.09084","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:5387e4633708a4554e00b691cc582fe9061ca1eb8986f89b6ab330a2774105eb","observation_id":"7d808357-e19e-4e99-915a-4ac436188a18","resolution":{"observed_at":"2026-08-10T23:12:12.972453Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11088","last_updated":"2022-06-23T14:09:15Z","snapshot_observed_at":"2026-08-06T08:08:50.050086Z","submitted_at":"2022-01-26T17:48:52Z","title":"Massive Black Hole Binaries from the TNG50-3 Simulation: I. Coalescence and LISA Detection Rates","version":3},"cited_work":{"arxiv_id":"2201.11088","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.11088","snapshot_observed_at":"2026-08-10T23:12:12.937220Z","title":"Massive Black Hole Binaries from the TNG50-3 Simulation: I. Coalescence and LISA Detection Rates","venue":"astro-ph.GA","work_id":"9fa51705-19c1-450d-b9c0-f8f97d8e0aa4","year":2022},"citing_paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-10T23:12:12.895247Z"},"links":{"cited_paper":"/paper/2201.11088","citing_paper":"/paper/2412.21146"},"observation_digest":"sha256:68fa021f20d852cdeb30a9719a4b61cc709f82195f22823c7100f7b68a22dd30","observation_id":"66bece96-698d-4510-b5cc-d7358d9acd63","resolution":{"observed_at":"2026-08-10T23:12:12.945466Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.21146","last_updated":"2025-05-12T21:21:39Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-11T07:21:33.391774Z","submitted_at":"2024-12-30T18:26:29Z","title":"Topological dark energy from black-hole formations and mergers through the gravity-thermodynamics approach"},"reference_resolution":{"displayed":95,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":85,"verified_exact":8,"verified_fuzzy":2},"total_outbound_references":95},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 5 inbound Pith citation observations for arXiv:2412.21146."}