{"as_of":"2026-08-07T09:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c90d36d8047326d2919b4f454fed566f73c2604461a0da1ad5a94b05ea473f4c","coverage":[{"denominator":51,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":51,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T15:16:21.020448Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.18521/citation-record","integrity":"/paper/2607.18521/integrity","json":"/paper/2607.18521/citation-record.json","paper":"/paper/2607.18521"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T15:16:16.262043Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.262043Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:7f5c4eb5dba40f8dfa5383e9b7a9cb0fd38d34aac5a085a855be32dcff0534bf","observation_id":"14ace89e-42b9-4121-bf66-f34864ac3d60","resolution":{"observed_at":"2026-08-01T15:16:16.262043Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.00133","last_updated":"2026-07-16T15:42:01Z","snapshot_observed_at":"2026-08-06T05:03:47.729461Z","submitted_at":"2026-06-30T20:12:11Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Background Evolution","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.00133","snapshot_observed_at":"2026-08-01T15:16:16.342545Z","title":"Prasanthan, H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.342545Z"},"links":{"cited_paper":"/paper/2607.00133","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:c05e7d14d96f4d85d5e798c2735721669c36a43a47e7b929067330e4466be937","observation_id":"e24727ca-7796-43c1-b05f-24d4e650c435","resolution":{"observed_at":"2026-08-01T15:16:16.342545Z","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":"2026-08-01T15:16:16.412259Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.412259Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:3d0007fd9312300487a5d2cdd5a7c59893ab998269b731b99d8253736ddf1478","observation_id":"65a86cc6-e71a-4ec2-ad2f-f21724784d1c","resolution":{"observed_at":"2026-08-01T15:16:16.412259Z","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":"2026-08-01T15:16:16.466930Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.466930Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:0f3a313d731e3e1437e02e3325c64cbfcc6a1d5f961a07c422b01f8aa4064db2","observation_id":"b490f6ef-51ad-4587-a685-6d07c94c4432","resolution":{"observed_at":"2026-08-01T15:16:16.466930Z","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":"2026-08-01T15:16:16.519377Z","title":"Jacobson, Phys","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.519377Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:0e7ce8cd1cb187b045249379d17346509448fb0cf840395106d6ea89fefc8b9f","observation_id":"89db2caa-ccab-426c-b26a-798695aa6018","resolution":{"observed_at":"2026-08-01T15:16:16.519377Z","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":"2026-08-01T15:16:16.586438Z","title":"Cai and S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.586438Z"},"links":{"cited_paper":"/paper/hep-th/0501055","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:1530407c4e0e93a4eec5f5796e896ea59dc5c1a9367866c847ca746bd51f0c55","observation_id":"f3ca2cc9-ae93-4b19-ab17-79bcd8956e6a","resolution":{"observed_at":"2026-08-01T15:16:16.586438Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0308070","last_updated":"2004-08-13T10:19:27Z","snapshot_observed_at":"2026-07-07T03:18:15.032865Z","submitted_at":"2003-08-21T14:05:59Z","title":"Entropy of Static Spacetimes and Microscopic Density of States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0308070","snapshot_observed_at":"2026-08-01T15:16:16.642389Z","title":"Padmanabhan, Class","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.642389Z"},"links":{"cited_paper":"/paper/gr-qc/0308070","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:47ebe00102a5a9d669dc20bee0ba84b51f6419d7939a791a50bc2f5dbd17ce50","observation_id":"c88eb891-4185-4e9a-9a55-a6598073483c","resolution":{"observed_at":"2026-08-01T15:16:16.642389Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1001.0785","last_updated":"2010-01-06T20:45:59Z","snapshot_observed_at":"2026-07-06T02:04:42.018285Z","submitted_at":"2010-01-06T20:45:59Z","title":"On the Origin of Gravity and the Laws of Newton","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1001.0785","snapshot_observed_at":"2026-08-01T15:16:16.753876Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.753876Z"},"links":{"cited_paper":"/paper/1001.0785","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:7676925cda991bcb11a7633e9c1421ae32ee4236954cdd4a1352d096d19091e6","observation_id":"7c9a182e-4c55-455a-b714-55449a177c8b","resolution":{"observed_at":"2026-08-01T15:16:16.753876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0704.0793","last_updated":"2007-11-14T17:19:05Z","snapshot_observed_at":"2026-07-06T01:25:56.465122Z","submitted_at":"2007-04-06T16:17:14Z","title":"Friedmann Equations and Thermodynamics of Apparent Horizons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.0793","snapshot_observed_at":"2026-08-01T15:16:16.865865Z","title":"Gong and A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.865865Z"},"links":{"cited_paper":"/paper/0704.0793","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:34fce147bc537802ab351bbe76870d57a161ee929db459454f4e4b8a5480ac61","observation_id":"aa48e4b0-2287-485a-acf4-bfe43c056da8","resolution":{"observed_at":"2026-08-01T15:16:16.865865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.01768","last_updated":"2024-03-22T14:00:09Z","snapshot_observed_at":"2026-07-06T15:50:14.857449Z","submitted_at":"2023-07-04T15:15:43Z","title":"On the foundations of entropic cosmologies: inconsistencies, possible solutions and dead end signs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.01768","snapshot_observed_at":"2026-08-01T15:16:16.980956Z","title":"Gohar and V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:16.980956Z"},"links":{"cited_paper":"/paper/2307.01768","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:20e2a25b41a23a481804f2094fcff208f89d223c996afa48a3003446d94448f3","observation_id":"f14afdc6-15dd-44c2-98e4-b5ba92e78bd9","resolution":{"observed_at":"2026-08-01T15:16:16.980956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.06239","last_updated":"2024-03-26T15:01:09Z","snapshot_observed_at":"2026-08-07T09:27:41.389383Z","submitted_at":"2023-07-12T15:28:15Z","title":"A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\\Lambda$CDM","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.06239","snapshot_observed_at":"2026-08-01T15:16:17.125465Z","title":"Gohar and V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.125465Z"},"links":{"cited_paper":"/paper/2307.06239","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:5b36756966392eeec8eed824a3dfdcaae412bf6a78ccb3745539327676572558","observation_id":"01aedf2f-d912-4bf4-afd8-3670333cf8f9","resolution":{"observed_at":"2026-08-01T15:16:17.125465Z","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":"2026-08-01T15:16:17.277795Z","title":"Gohar, Phys","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.277795Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:c12c5f03c0a94b6909f9d73b33737321a539a3706668555dbfdd5ce167ebfd1f","observation_id":"9e0eb684-a963-4d03-95ed-2458ca865f20","resolution":{"observed_at":"2026-08-01T15:16:17.277795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.18551","last_updated":"2026-07-13T16:36:01Z","snapshot_observed_at":"2026-07-16T23:19:36.188128Z","submitted_at":"2026-05-18T15:30:35Z","title":"Scalar-Tensor Gravity as a Probe of Generalized Black Hole Entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.18551","snapshot_observed_at":"2026-08-01T15:16:17.451780Z","title":"Gohar, (2026), arXiv:2605.18551 [gr-qc]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.451780Z"},"links":{"cited_paper":"/paper/2605.18551","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:43c5bf4fa031ccca4073d9ddd879c307c22603be16f014a96797824311a05141","observation_id":"7f726897-52c8-4c22-ac80-89b8a7d48f3c","resolution":{"observed_at":"2026-08-01T15:16:17.451780Z","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":"2026-08-01T15:16:17.585253Z","title":"Denkiewicz and H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.585253Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:dc735a7028356023600c60fd570c2a4a348b2d4b21440a1eba3d104e9ce04fbe","observation_id":"d40d944b-0eda-460b-af84-ba7df592b4b8","resolution":{"observed_at":"2026-08-01T15:16:17.585253Z","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":"2026-08-01T15:16:17.706709Z","title":"Tsallis, J","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.706709Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:837a7df666a9de6cd4c5a75d9264cd786eaf1d5a69a581203e7acd6ccacc46b3","observation_id":"a5400f13-144d-4dd0-bc5e-f51a7415fe8c","resolution":{"observed_at":"2026-08-01T15:16:17.706709Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.2154","last_updated":"2013-06-18T08:23:21Z","snapshot_observed_at":"2026-08-01T00:17:52.255511Z","submitted_at":"2012-02-09T23:57:46Z","title":"Black hole thermodynamical entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.2154","snapshot_observed_at":"2026-08-01T15:16:17.815765Z","title":"Tsallis and L","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.815765Z"},"links":{"cited_paper":"/paper/1202.2154","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:8196df8dbb94a2e3f7e84902bd0c3fa9dfe7f4e0f04ea340de4a0b6f4d5e2267","observation_id":"506c8525-5d38-4486-ad8a-6ae6b3e8349b","resolution":{"observed_at":"2026-08-01T15:16:17.815765Z","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":"2026-08-01T15:16:17.936907Z","title":"Renyi, Acta Mathematica Academiae Scientiarum Hungarica10, 193 (1959)","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:17.936907Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:23d301f611542647b98a20124b1eef71ddf3f89b1230241f0643f410db784e44","observation_id":"4cdc013c-8123-434c-a0e8-97d2b8e14fea","resolution":{"observed_at":"2026-08-01T15:16:17.936907Z","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":"2026-08-01T15:16:18.050946Z","title":"Rovelli, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.050946Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:9e7b8b5c570b718928e93978b8f84179c69c0665e1766d3584c26ab563975795","observation_id":"c346a84c-61ab-4313-a4ba-26ac2360c536","resolution":{"observed_at":"2026-08-01T15:16:18.050946Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0407052","last_updated":"2004-07-14T19:36:34Z","snapshot_observed_at":"2026-07-07T03:19:48.839643Z","submitted_at":"2004-07-14T19:36:34Z","title":"Black hole entropy in Loop Quantum Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0407052","snapshot_observed_at":"2026-08-01T15:16:18.170175Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.170175Z"},"links":{"cited_paper":"/paper/gr-qc/0407052","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:1c65ed04db5aaed9a63dc7c3526937a3d25ef639e0983ef9fb9d10b9bd10c10d","observation_id":"7ba22752-a3c1-4328-a369-b8ab01368df1","resolution":{"observed_at":"2026-08-01T15:16:18.170175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0411022","last_updated":"2004-11-11T13:59:32Z","snapshot_observed_at":"2026-07-07T04:52:14.427684Z","submitted_at":"2004-11-01T19:21:04Z","title":"When conceptual worlds collide: The GUP and the BH entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0411022","snapshot_observed_at":"2026-08-01T15:16:18.288083Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.288083Z"},"links":{"cited_paper":"/paper/hep-th/0411022","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:8b5b7b1e1f07640c1c6a5994351b23a92e6d33775548a3086037d2332941cc73","observation_id":"1f7a69f4-2873-4b2f-9da7-c15b8cc54318","resolution":{"observed_at":"2026-08-01T15:16:18.288083Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.09444","last_updated":"2020-07-06T12:25:17Z","snapshot_observed_at":"2026-08-06T01:23:55.501271Z","submitted_at":"2020-04-20T16:56:24Z","title":"The Area of a Rough Black Hole","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.09444","snapshot_observed_at":"2026-08-01T15:16:18.386385Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.386385Z"},"links":{"cited_paper":"/paper/2004.09444","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:d110fca33deb74ae5f37c86beffe40e103d6222a38ff015b420656c2b2d721a9","observation_id":"6682c43f-125d-4daf-b1e5-b2990e9daa6f","resolution":{"observed_at":"2026-08-01T15:16:18.386385Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.2070","last_updated":"2008-02-28T07:43:35Z","snapshot_observed_at":"2026-07-06T01:27:22.981257Z","submitted_at":"2007-05-15T02:31:14Z","title":"Power-law corrections to entanglement entropy of horizons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0705.2070","snapshot_observed_at":"2026-08-01T15:16:18.506403Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.506403Z"},"links":{"cited_paper":"/paper/0705.2070","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:c1dc197ba3c9cb58a42879fba0fce0b1571cc3a3ca2667243aa7385c6c6ec6dc","observation_id":"fba8710c-5a3f-4863-8a3b-f53ea9207dc8","resolution":{"observed_at":"2026-08-01T15:16:18.506403Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.04473","last_updated":"2023-02-18T17:55:38Z","snapshot_observed_at":"2026-07-06T13:40:01.673198Z","submitted_at":"2022-08-09T00:23:09Z","title":"Equilibrium Temperature for Black Holes with Nonextensive Entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.04473","snapshot_observed_at":"2026-08-01T15:16:18.624309Z","title":"Çimdiker, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.624309Z"},"links":{"cited_paper":"/paper/2208.04473","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:b0ff9c6f53e0966e871860f82b1e6e22dd84b0f61110fd4596ba42c23c74cd97","observation_id":"49ca19af-4cd4-4668-a111-a7950d0a6d65","resolution":{"observed_at":"2026-08-01T15:16:18.624309Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.04077","last_updated":"2022-11-14T21:28:25Z","snapshot_observed_at":"2026-08-01T22:04:41.273741Z","submitted_at":"2022-02-08T19:00:00Z","title":"The Pantheon+ Analysis: Cosmological Constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.04077","snapshot_observed_at":"2026-08-01T15:16:18.726293Z","title":"Broutet al., Astrophys","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.726293Z"},"links":{"cited_paper":"/paper/2202.04077","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:ecdcf432d27d1a244faa85c79195621f1c1967173418be3fe273d0b6af08fa41","observation_id":"236ea0dc-45c2-442a-b57d-811335afaed1","resolution":{"observed_at":"2026-08-01T15:16:18.726293Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.05701","last_updated":"2023-04-07T14:42:08Z","snapshot_observed_at":"2026-07-06T13:09:03.269759Z","submitted_at":"2022-05-11T18:00:04Z","title":"New Observational $H(z)$ Data from Full-Spectrum Fitting of Cosmic Chronometers in the LEGA-C Survey","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.05701","snapshot_observed_at":"2026-08-01T15:16:18.872041Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:18.872041Z"},"links":{"cited_paper":"/paper/2205.05701","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:90d33dd06d8c2717118f5a036c55e0328e6c1e8255a0d086f7dd018aa80d404c","observation_id":"f3b0c640-5d75-4497-aad5-8d7c13db3eda","resolution":{"observed_at":"2026-08-01T15:16:18.872041Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14738","last_updated":"2025-10-09T16:45:28Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-03-18T21:14:12Z","title":"DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.14738","snapshot_observed_at":"2026-08-01T15:16:19.017467Z","title":"Abdul Karimet al.(DESI), Phys","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.017467Z"},"links":{"cited_paper":"/paper/2503.14738","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:e0c161079f47d28cfca8dac94a8d0d68fb819a287429ceb9250da5cf0cf9f4aa","observation_id":"a20127d0-5e78-497b-b75b-ca14ae8ce72a","resolution":{"observed_at":"2026-08-01T15:16:19.017467Z","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":"2026-08-01T15:16:19.134003Z","title":"Aghanimet al.(Planck), Astron","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.134003Z"},"links":{"cited_paper":"/paper/1807.06209","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:440ed117e23d2e4636df5157d198db3c6ad488dd81f7e68701e4a082c4e938d4","observation_id":"c6c3a20c-7577-4150-a254-e407c482eac2","resolution":{"observed_at":"2026-08-01T15:16:19.134003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.3665","last_updated":"2013-11-25T15:56:48Z","snapshot_observed_at":"2026-07-06T02:43:00.981478Z","submitted_at":"2012-02-16T20:41:19Z","title":"emcee: The MCMC Hammer","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.3665","snapshot_observed_at":"2026-08-01T15:16:19.232632Z","title":"Foreman-Mackey, D","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.232632Z"},"links":{"cited_paper":"/paper/1202.3665","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:4f14eeb3cdf2b9e89c8b3394e1a02cb83440b25d8d7ee9763a4c960ab1a5da60","observation_id":"ecbc206d-4c88-47b5-9b51-587f364548c4","resolution":{"observed_at":"2026-08-01T15:16:19.232632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.01471","last_updated":"2022-10-11T10:05:42Z","snapshot_observed_at":"2026-07-06T12:14:46.481396Z","submitted_at":"2021-12-02T18:15:50Z","title":"The Pantheon+ Analysis: Improving the Redshifts and Peculiar Velocities of Type Ia Supernovae Used in Cosmological Analyses","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.01471","snapshot_observed_at":"2026-08-01T15:16:19.283845Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.283845Z"},"links":{"cited_paper":"/paper/2112.01471","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:ca998bf77e543fb3a671c11c620a521bbf128420b8083555700f05f2d86d6cf0","observation_id":"a0526d0d-2868-47b5-a4b5-277bf297432d","resolution":{"observed_at":"2026-08-01T15:16:19.283845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0106145","last_updated":"2001-06-07T23:31:44Z","snapshot_observed_at":"2026-08-06T11:07:36.695496Z","submitted_at":"2001-06-07T23:31:44Z","title":"Constraining Cosmological Parameters Based on Relative Galaxy Ages","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0106145","snapshot_observed_at":"2026-08-01T15:16:19.343204Z","title":"Jimenez and A","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.343204Z"},"links":{"cited_paper":"/paper/astro-ph/0106145","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:4892efc47724456babcf25f247ca65215deb671a4162445e09a6709fc576941e","observation_id":"5a4eece6-0d75-4c8d-8fc8-9f0c77b0d5f7","resolution":{"observed_at":"2026-08-01T15:16:19.343204Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.0831","last_updated":"2011-03-28T19:54:38Z","snapshot_observed_at":"2026-08-01T14:48:06.583218Z","submitted_at":"2010-10-05T10:17:59Z","title":"Constraining the expansion rate of the Universe using low-redshift ellipticals as cosmic chronometers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.0831","snapshot_observed_at":"2026-08-01T15:16:19.437585Z","title":"Moresco, R","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.437585Z"},"links":{"cited_paper":"/paper/1010.0831","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:331c31f4f0744046883e0d39b092d529447ff9681a464df2eb54dd7412961494","observation_id":"2aeb6488-af11-412a-a258-f88fdef69d71","resolution":{"observed_at":"2026-08-01T15:16:19.437585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.05864","last_updated":"2018-12-04T21:09:36Z","snapshot_observed_at":"2026-08-05T06:19:30.327080Z","submitted_at":"2018-04-16T18:02:28Z","title":"Setting the Stage for Cosmic Chronometers. I. Assessing the Impact of Young Stellar Populations on Hubble Parameter Measurements","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.05864","snapshot_observed_at":"2026-08-01T15:16:19.512699Z","title":"Moresco, R","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.512699Z"},"links":{"cited_paper":"/paper/1804.05864","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:dc37284b44340740db59a863e1a3e1797e346261adc4b26719245c361af1a5ef","observation_id":"64298c82-9d6a-41c4-875d-9e6d72c493b6","resolution":{"observed_at":"2026-08-01T15:16:19.512699Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.07362","last_updated":"2020-08-24T07:38:09Z","snapshot_observed_at":"2026-08-05T13:22:46.068289Z","submitted_at":"2020-03-16T18:00:01Z","title":"Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.07362","snapshot_observed_at":"2026-08-01T15:16:19.586609Z","title":"Moresco, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.586609Z"},"links":{"cited_paper":"/paper/2003.07362","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:ae6e41c414d31114f3ffb40bd64d899701eae9724bdf4258d017d6415159fd26","observation_id":"9233640d-caad-4d32-909c-9d657c8d07eb","resolution":{"observed_at":"2026-08-01T15:16:19.586609Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.07241","last_updated":"2022-12-19T20:41:29Z","snapshot_observed_at":"2026-08-06T05:09:48.119010Z","submitted_at":"2022-01-18T19:00:01Z","title":"Unveiling the Universe with Emerging Cosmological Probes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.07241","snapshot_observed_at":"2026-08-01T15:16:19.731124Z","title":"Morescoet al., Living Rev","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.731124Z"},"links":{"cited_paper":"/paper/2201.07241","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:0f93a971af9d3c096e91443e74ae340fd83622b2806d1d2cebea02e677a5a7bb","observation_id":"4b1f2e24-652c-4957-9d14-c8d39172731e","resolution":{"observed_at":"2026-08-01T15:16:19.731124Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0703780","last_updated":"2007-10-29T18:29:10Z","snapshot_observed_at":"2026-07-07T01:08:36.189288Z","submitted_at":"2007-03-29T23:18:12Z","title":"Observational Constraints on Dark Energy and Cosmic Curvature","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0703780","snapshot_observed_at":"2026-08-01T15:16:19.769119Z","title":"Wang and P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.769119Z"},"links":{"cited_paper":"/paper/astro-ph/0703780","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:fb9bfcc5ff532fcf02df8613f91c6e1673810cf6fae366b60600a85a6252b4ae","observation_id":"ee33c322-8991-459c-9d0c-2af520340879","resolution":{"observed_at":"2026-08-01T15:16:19.769119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.04921","last_updated":"2020-06-17T22:01:33Z","snapshot_observed_at":"2026-07-06T08:43:31.085150Z","submitted_at":"2019-12-10T19:01:13Z","title":"CMB distance priors revisited: effects of dark energy dynamics, spatial curvature, primordial power spectrum, and neutrino parameters","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.04921","snapshot_observed_at":"2026-08-01T15:16:19.844192Z","title":"Zhai, C.-G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.844192Z"},"links":{"cited_paper":"/paper/1912.04921","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:653e7735571643620d9c2c3420618d1721a1df0624da196505d7d559ee826aa0","observation_id":"7f597b46-0acb-49f1-b6de-7083e594c454","resolution":{"observed_at":"2026-08-01T15:16:19.844192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.00428","last_updated":"2021-08-26T10:13:23Z","snapshot_observed_at":"2026-07-06T11:14:46.817047Z","submitted_at":"2021-06-01T12:21:02Z","title":"Machine Learning improved fits of the sound horizon at the baryon drag epoch","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.00428","snapshot_observed_at":"2026-08-01T15:16:19.920906Z","title":"Aizpuru, R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.920906Z"},"links":{"cited_paper":"/paper/2106.00428","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:af58a3c18f1a2ed8ebf23047288afecc9b4adfaa09259849913990ec4d10ae9d","observation_id":"06a8e271-0683-4699-9f36-900d7b712edf","resolution":{"observed_at":"2026-08-01T15:16:19.920906Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9905116","last_updated":"2000-12-16T03:11:55Z","snapshot_observed_at":"2026-08-06T01:30:32.014408Z","submitted_at":"1999-05-11T03:10:24Z","title":"Distance measures in cosmology","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9905116","snapshot_observed_at":"2026-08-01T15:16:19.987470Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:19.987470Z"},"links":{"cited_paper":"/paper/astro-ph/9905116","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:63cd4db581d3171e23aae6ea7ba6426f3c57b451e26220929dc6f522dea3fb86","observation_id":"a5fd303e-8703-4517-a37b-ef47c633b783","resolution":{"observed_at":"2026-08-01T15:16:19.987470Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.03472","last_updated":"2017-04-11T18:01:44Z","snapshot_observed_at":"2026-07-06T05:37:27.385512Z","submitted_at":"2017-04-11T18:01:44Z","title":"Marginal Likelihoods from Monte Carlo Markov Chains","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.03472","snapshot_observed_at":"2026-08-01T15:16:20.069120Z","title":"Heavens, Y","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.069120Z"},"links":{"cited_paper":"/paper/1704.03472","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:c5e388217005b0417b30e3a75a383e9be784354cc1b6969c6591be5eb83ec0d3","observation_id":"87557bc4-14d0-4c10-a7d6-16f255b6b2ad","resolution":{"observed_at":"2026-08-01T15:16:20.069120Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.24355","last_updated":"2025-03-31T17:35:35Z","snapshot_observed_at":"2026-08-02T23:48:00.673636Z","submitted_at":"2025-03-31T17:35:35Z","title":"Modified cosmology though spacetime thermodynamics and generalized mass-to-horizon entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.24355","snapshot_observed_at":"2026-08-01T15:16:20.127330Z","title":"Basilakos, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.127330Z"},"links":{"cited_paper":"/paper/2503.24355","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:4e5fa7c5f54a12f5db70cb1b6ecc070337d9cb31736392569487058074340964","observation_id":"49acb074-18f6-4752-97e9-ad0c3aaf2dd5","resolution":{"observed_at":"2026-08-01T15:16:20.127330Z","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":"2026-08-01T15:16:20.177649Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.177649Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:cd082b2fd6be5230e454d5bd1c5ba89764b04beedba5818677cfd845b0feefc2","observation_id":"e688eada-8ab3-4f3a-a599-4444ab5e7516","resolution":{"observed_at":"2026-08-01T15:16:20.177649Z","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":"2026-08-01T15:16:20.235174Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.235174Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:6e14c3e5101bdfb1be5f6c014bbbd379da1073f5df063aadefc0a312095cb921","observation_id":"e9d07ba8-2708-4533-a0cf-ea73bb50fdd0","resolution":{"observed_at":"2026-08-01T15:16:20.235174Z","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":"2026-08-01T15:16:20.285524Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.285524Z"},"links":{"citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:a5b350474d6c199138d569312f50c2be8ea7eaf684008ffda5bc08e036ba0634","observation_id":"63d390c1-bc83-459d-82f6-6f4b31502a3d","resolution":{"observed_at":"2026-08-01T15:16:20.285524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.18230","last_updated":"2025-07-15T18:36:41Z","snapshot_observed_at":"2026-08-07T03:52:59.961835Z","submitted_at":"2025-03-23T22:32:12Z","title":"Generalized Nonextensive Entropy Holographic Dark Energy Models Verified by Cosmological Data","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.18230","snapshot_observed_at":"2026-08-01T15:16:20.347580Z","title":"Çimdiker, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.347580Z"},"links":{"cited_paper":"/paper/2503.18230","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:868ea56a2747dcb2e3035699b8dab955ee4db57113ec097ee86b4cbf98770b29","observation_id":"730347d7-86c9-43c7-bcab-4de05179f4ba","resolution":{"observed_at":"2026-08-01T15:16:20.347580Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.11296","last_updated":"2021-04-22T19:43:28Z","snapshot_observed_at":"2026-08-07T09:29:23.392059Z","submitted_at":"2021-04-22T19:43:28Z","title":"Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and Dark Matter Freeze-out","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.11296","snapshot_observed_at":"2026-08-01T15:16:20.451016Z","title":"Ghoshal and G","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.451016Z"},"links":{"cited_paper":"/paper/2104.11296","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:8d092d237dc8b5e4add24c7263a1eb5665d0729d2df67306b434d4980b91cdf2","observation_id":"9eaf8228-9628-4586-ba4b-18979da2f09b","resolution":{"observed_at":"2026-08-01T15:16:20.451016Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.02723","last_updated":"2022-04-06T10:58:28Z","snapshot_observed_at":"2026-08-06T03:15:43.825247Z","submitted_at":"2022-04-06T10:58:28Z","title":"Baryogenesis in non-extensive Tsallis Cosmology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.02723","snapshot_observed_at":"2026-08-01T15:16:20.560697Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.560697Z"},"links":{"cited_paper":"/paper/2204.02723","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:0985c507dd168ec74ac02715f4eb4fe7b85639b0406069004f95ccf16466bdcf","observation_id":"30af9d70-fc57-4da4-8a4b-2188648383ea","resolution":{"observed_at":"2026-08-01T15:16:20.560697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.12509","last_updated":"2023-01-29T18:31:04Z","snapshot_observed_at":"2026-07-06T14:45:48.434072Z","submitted_at":"2023-01-29T18:31:04Z","title":"Constraining Barrow entropy-based Cosmology with power-law inflation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.12509","snapshot_observed_at":"2026-08-01T15:16:20.670882Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.670882Z"},"links":{"cited_paper":"/paper/2301.12509","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:4392041081ed2a9ed2f03409f08c1b35d67110afef69e89e11dfd41c278f1444","observation_id":"4b7b6f84-f6ed-479b-8701-60a1639116e7","resolution":{"observed_at":"2026-08-01T15:16:20.670882Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.15551","last_updated":"2021-09-14T15:31:03Z","snapshot_observed_at":"2026-07-06T11:24:19.530747Z","submitted_at":"2021-06-29T16:38:41Z","title":"Observational constraints on Tsallis modified gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.15551","snapshot_observed_at":"2026-08-01T15:16:20.732791Z","title":"Asghari and A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.732791Z"},"links":{"cited_paper":"/paper/2106.15551","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:33b39bb4f778478c2f2d7f8145b5879e7cd50357b5b63a2e52dc204d5fd575d7","observation_id":"07369e90-3b92-4f27-8bc6-1b9942bc80bb","resolution":{"observed_at":"2026-08-01T15:16:20.732791Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03836","last_updated":"2019-05-07T14:20:27Z","snapshot_observed_at":"2026-07-06T07:38:10.235807Z","submitted_at":"2019-03-09T17:47:14Z","title":"Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.03836","snapshot_observed_at":"2026-08-01T15:16:20.837770Z","title":"D’Agostino, Phys","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.837770Z"},"links":{"cited_paper":"/paper/1903.03836","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:450564c7bf2c6f4922164c1c4ee3cabbd3c8844f997478acea12dd365550cfa7","observation_id":"134950cb-9696-4c67-bf3e-b7feb9493ea5","resolution":{"observed_at":"2026-08-01T15:16:20.837770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.08306","last_updated":"2020-09-16T15:48:12Z","snapshot_observed_at":"2026-07-06T09:56:28.929453Z","submitted_at":"2020-09-16T15:48:12Z","title":"Geometrical observational bounds on a fractal horizon holographic dark energy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.08306","snapshot_observed_at":"2026-08-01T15:16:20.942332Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:20.942332Z"},"links":{"cited_paper":"/paper/2009.08306","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:2e3cebe5523800026376bedfdd76ed869b12fe58cc4f7edbd24bedf489feaef3","observation_id":"83ec815a-4aaa-4fd2-b389-95635ff8dbda","resolution":{"observed_at":"2026-08-01T15:16:20.942332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.11680","last_updated":"2023-03-21T08:42:29Z","snapshot_observed_at":"2026-08-07T08:03:17.081040Z","submitted_at":"2023-03-21T08:42:29Z","title":"Barrow nearly-extensive Gibbs-like entropy favoured by the full dynamical and geometrical data set in cosmology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.11680","snapshot_observed_at":"2026-08-01T15:16:21.020448Z","title":"Denkiewicz, V","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T15:16:21.020448Z"},"links":{"cited_paper":"/paper/2303.11680","citing_paper":"/paper/2607.18521"},"observation_digest":"sha256:5d3b6d12c857bac3a234d5f293f0b16c180f5140d7a1df86952b249a8091ae35","observation_id":"2f0bc7f7-4294-4e8a-9269-7e6e22ae9877","resolution":{"observed_at":"2026-08-01T15:16:21.020448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.18521","last_updated":"2026-07-20T21:33:34Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-06T21:08:14.448023Z","submitted_at":"2026-07-20T21:33:34Z","title":"Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds"},"reference_resolution":{"displayed":51,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":51},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2607.18521."}