{"as_of":"2026-08-10T09:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70d746ced6cfd1e2dd8b7b85b4934e5dab9ff7d0458b5e467462e697efa2b02e","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T05:42:34.715227Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2508.01559/citation-record","integrity":"/paper/2508.01559/integrity","json":"/paper/2508.01559/citation-record.json","paper":"/paper/2508.01559"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T05:42:41.031794Z","title":"Amati, M","venue":null,"work_id":"db8debd0-7322-403a-a32f-1a547db1eb9e","year":1987},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.615154Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:3c757768eabc8bdf82f70326a3f9e42fee712cdc398430a4d8baa98f3b872059","observation_id":"809e756f-704f-41c0-a31c-247db117ec47","resolution":{"observed_at":"2026-08-06T05:42:41.120809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:40.833622Z","title":null,"venue":null,"work_id":"90b78345-0592-4557-87a7-9e62966afe1e","year":1987},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.725540Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:fa69746bf68ae3d693ad84ba60163ac93c9d3264a206c03473c3419baf9e63dc","observation_id":"9483981a-5149-4922-90ca-7363f7515c54","resolution":{"observed_at":"2026-08-06T05:42:40.924129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:41.187140Z","title":"It is appropriate to comment that the GUP parameter α is α≈ 0.0133","venue":null,"work_id":"53fd49a0-700f-4f20-ad3b-94993af5044c","year":null},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.571519Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:3466b89c748e78e24e62288d5bddaff0ef72711d62d5069b4428e48b27cba8df","observation_id":"b149bb3c-5428-4cde-b062-c3363919d554","resolution":{"observed_at":"2026-08-06T05:42:41.235822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:41.294621Z","title":"To address this, we introduce the invariant distance given by linv = ∫ rH +hS rH dr√ f(r) ≃ 2 √ 2MhS","venue":null,"work_id":"2ecbcc69-e423-4c78-8342-f711d89a5fb9","year":null},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.487073Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:74a6bdaeb117ae9ac4bd32b8984397602ffb5732acc41e4bb9fd52635d585e02","observation_id":"e9ec2881-d8f5-497a-8a00-f23ed36aea3b","resolution":{"observed_at":"2026-08-06T05:42:41.378476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9710007","last_updated":"1997-10-01T20:43:41Z","snapshot_observed_at":"2026-07-07T03:28:00.552426Z","submitted_at":"1997-10-01T20:43:41Z","title":"Quantum Geometry and Black Hole Entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9710007","snapshot_observed_at":"2026-08-06T05:42:28.997032Z","title":"Ashtekar, J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.997032Z"},"links":{"cited_paper":"/paper/gr-qc/9710007","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:4926a779a6471a74b6d6ae77741363ceef67299318ff9b14085694d4baae7cfa","observation_id":"968a1f23-4ba6-4466-9397-5ad5314d370b","resolution":{"observed_at":"2026-08-06T05:42:28.997032Z","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":"2026-08-06T05:42:40.671985Z","title":"Amati, M","venue":null,"work_id":"60ecdb5c-450a-4822-aede-0031068dc133","year":1989},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.782307Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:9ebfcd43dbafc67a1094c16afe3f10ee7ae55f1f62f33ec53da2d535f3f52d82","observation_id":"ce37a4ae-9a2e-48f7-a96e-29d9b779f317","resolution":{"observed_at":"2026-08-06T05:42:40.758205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:40.541586Z","title":"Konishi, G","venue":null,"work_id":"228b78d6-0cff-49b6-8126-659b4bd3b719","year":1990},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.887731Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:bfe5b4f8413208e04b407a914433ce83bde6c80c369c78ff07d565e088a0ba23","observation_id":"7b74a971-e7cb-4881-ad34-6717316bcb1f","resolution":{"observed_at":"2026-08-06T05:42:40.619150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.13565","last_updated":"2020-09-28T18:27:10Z","snapshot_observed_at":"2026-07-06T09:59:31.820485Z","submitted_at":"2020-09-28T18:27:10Z","title":"Black-hole models in loop quantum gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.13565","snapshot_observed_at":"2026-08-06T05:42:29.328693Z","title":"Bojowald, Universe 6, 125 (2020) [arXiv:2009.13565 [gr-qc]]","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.328693Z"},"links":{"cited_paper":"/paper/2009.13565","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:c729eadbde40af8d1747f859207105776066186790d085f48ed56713e9447fb2","observation_id":"ea0ba5e3-8d32-4fab-965d-af7e21116bf7","resolution":{"observed_at":"2026-08-06T05:42:29.328693Z","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":"2026-08-06T05:42:40.378439Z","title":"Smolin, Lect","venue":null,"work_id":"1621e127-3c30-4160-a84c-8bfe5da04fa0","year":2005},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.109911Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:833f8358923ebb4609133407fe90faefc5f00ba495cb1e381aaf496d2e8a94f3","observation_id":"f618d97f-92de-4ebb-aa72-1e71a9c27ff0","resolution":{"observed_at":"2026-08-06T05:42:40.446155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1112.0994","last_updated":"2011-12-05T16:55:37Z","snapshot_observed_at":"2026-08-06T23:38:01.123486Z","submitted_at":"2011-12-05T16:55:37Z","title":"Generalized uncertainty principles and localization in discrete space","version":1},"cited_work":{"arxiv_id":"1112.0994","doi":null,"metadata_source":"pith","pith_arxiv_id":"1112.0994","snapshot_observed_at":"2026-08-06T05:42:38.059299Z","title":"Generalized uncertainty principles and localization in discrete space","venue":"hep-th","work_id":"19057930-9abd-44fe-8204-71d76736621f","year":2011},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.217085Z"},"links":{"cited_paper":"/paper/1112.0994","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:49668a71a29d56a6420de9f8994ff4541b8f874cca314bf5baf3adb37c9f9ff6","observation_id":"6de1680e-8664-4437-b425-2008c518bf70","resolution":{"observed_at":"2026-08-06T05:42:38.144448Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9412167","last_updated":"1996-12-12T22:07:13Z","snapshot_observed_at":"2026-07-07T05:07:15.080069Z","submitted_at":"1994-12-19T14:36:09Z","title":"Hilbert Space Representation of the Minimal Length Uncertainty Relation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9412167","snapshot_observed_at":"2026-08-06T05:42:29.632558Z","title":"Kempf, G","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.632558Z"},"links":{"cited_paper":"/paper/hep-th/9412167","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:72c6249e25428865b48419e251a2e4220047645ec6de7afcd709119edb6010ed","observation_id":"b699c4e2-c078-40ca-a837-2eff81504686","resolution":{"observed_at":"2026-08-06T05:42:29.632558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9301067","last_updated":"1993-01-17T18:37:37Z","snapshot_observed_at":"2026-08-05T00:09:46.000899Z","submitted_at":"1993-01-17T18:37:37Z","title":"A Generalized Uncertainty Principle in Quantum Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9301067","snapshot_observed_at":"2026-08-06T05:42:29.433506Z","title":"Maggiore, Phys","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.433506Z"},"links":{"cited_paper":"/paper/hep-th/9301067","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:544473d470c0d0960e60b6f221a73a1672fcacce6a8bee4327eebfde295b7a6e","observation_id":"575f9a83-ffc1-4ae0-ab9a-6482a67fcb28","resolution":{"observed_at":"2026-08-06T05:42:29.433506Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9403008","last_updated":"1995-05-09T09:39:08Z","snapshot_observed_at":"2026-07-07T03:24:35.902776Z","submitted_at":"1994-03-02T15:50:51Z","title":"Quantum gravity and minimum length","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9403008","snapshot_observed_at":"2026-08-06T05:42:29.536502Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.536502Z"},"links":{"cited_paper":"/paper/gr-qc/9403008","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:1cf0a840c8d57f74a096387594b9a4ab9f2a425587b8e2ef1f95892e2de7f555","observation_id":"e34e0d25-f030-417d-b96e-806aabce8c67","resolution":{"observed_at":"2026-08-06T05:42:29.536502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9904026","last_updated":"1999-04-14T01:10:06Z","snapshot_observed_at":"2026-07-07T03:30:20.599489Z","submitted_at":"1999-04-12T03:33:37Z","title":"On Gravity and the Uncertainty Principle","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9904026","snapshot_observed_at":"2026-08-06T05:42:29.876484Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.876484Z"},"links":{"cited_paper":"/paper/gr-qc/9904026","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:07d5184a2b8270609b83903bd9ea2fd14afb6ebccecc41af450eddc5f320f123","observation_id":"8613cc44-cb45-4f1e-8778-d0198868f8e0","resolution":{"observed_at":"2026-08-06T05:42:29.876484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9612084","last_updated":"1996-12-08T18:38:58Z","snapshot_observed_at":"2026-07-07T05:12:30.624681Z","submitted_at":"1996-12-08T18:38:58Z","title":"Minimal Length Uncertainty Relation and Ultraviolet Regularisation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9612084","snapshot_observed_at":"2026-08-06T05:42:29.739291Z","title":"Kempf and G","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.739291Z"},"links":{"cited_paper":"/paper/hep-th/9612084","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:a6403d614736957d0c47d8320514b4bcf90c920c8a47b6e9b02b8808095471b3","observation_id":"847080e5-82a9-4266-92ac-1b59a787dac9","resolution":{"observed_at":"2026-08-06T05:42:29.739291Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9904025","last_updated":"1999-04-05T15:54:45Z","snapshot_observed_at":"2026-08-09T03:58:47.532050Z","submitted_at":"1999-04-05T15:54:45Z","title":"Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9904025","snapshot_observed_at":"2026-08-06T05:42:29.814631Z","title":"Scardigli, Phys","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.814631Z"},"links":{"cited_paper":"/paper/hep-th/9904025","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:4328dc5e52ea9dd5a11e14c72fe51c69b7632c22511a266333f34c179aa0ab74","observation_id":"453c8f77-f4b0-412a-bd28-147f05618ce3","resolution":{"observed_at":"2026-08-06T05:42:29.814631Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0106080","last_updated":"2001-06-26T00:09:55Z","snapshot_observed_at":"2026-08-04T22:03:07.404735Z","submitted_at":"2001-06-26T00:09:55Z","title":"The Generalized Uncertainty Principle and Black Hole Remnants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0106080","snapshot_observed_at":"2026-08-06T05:42:30.149156Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.149156Z"},"links":{"cited_paper":"/paper/gr-qc/0106080","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:2dce64a0e5b547d091da84f9ae2f5450e29601114f7f3a38d049546f6f5349da","observation_id":"30293a90-8d7f-4487-8767-79540a33c64d","resolution":{"observed_at":"2026-08-06T05:42:30.149156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.1939","last_updated":"2009-02-09T11:01:08Z","snapshot_observed_at":"2026-07-06T01:42:43.721616Z","submitted_at":"2008-07-11T22:04:23Z","title":"Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.1939","snapshot_observed_at":"2026-08-06T05:42:29.936327Z","title":"Nicolini, Int","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:29.936327Z"},"links":{"cited_paper":"/paper/0807.1939","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:776b2b6685095d731e77655d79dd4e5a6717749234c3c27d7cf961b7dc4111db","observation_id":"f939638b-8e18-42a9-a58a-150593184fe1","resolution":{"observed_at":"2026-08-06T05:42:29.936327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0810.5333","last_updated":"2008-11-25T18:34:06Z","snapshot_observed_at":"2026-07-06T01:44:54.238830Z","submitted_at":"2008-10-29T18:35:04Z","title":"Universality of Quantum Gravity Corrections","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0810.5333","snapshot_observed_at":"2026-08-06T05:42:30.069360Z","title":"Das and E","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.069360Z"},"links":{"cited_paper":"/paper/0810.5333","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:465baae2f0f9509a99a45090cda0a1bc4d0e438d5d541e56ad4742a11512be81","observation_id":"aa56f560-effa-4517-9628-2d9707d122ec","resolution":{"observed_at":"2026-08-06T05:42:30.069360Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1402.2133","last_updated":"2014-05-01T09:04:53Z","snapshot_observed_at":"2026-07-06T03:35:33.967069Z","submitted_at":"2014-02-10T13:03:53Z","title":"Remnant mass and entropy of black holes and modified uncertainty principle","version":3},"cited_work":{"arxiv_id":"1402.2133","doi":null,"metadata_source":"pith","pith_arxiv_id":"1402.2133","snapshot_observed_at":"2026-08-06T05:42:37.651706Z","title":"Remnant mass and entropy of black holes and modified uncertainty principle","venue":"gr-qc","work_id":"5d8c61ff-b1e1-4dc6-8a4f-f16678ea2a9f","year":2014},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.392713Z"},"links":{"cited_paper":"/paper/1402.2133","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:5d61a03ec2006dcae42e9b50a28650bf19510e9f254d4f28f1053cf6646f0c7a","observation_id":"1b50dd61-75c4-482b-a606-d096aecdf0ad","resolution":{"observed_at":"2026-08-06T05:42:37.721489Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0809.3144","last_updated":"2008-09-18T16:15:52Z","snapshot_observed_at":"2026-07-06T01:47:43.314912Z","submitted_at":"2008-09-18T16:15:52Z","title":"Gravitational Uncertainty and Black Hole Remnants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0809.3144","snapshot_observed_at":"2026-08-06T05:42:30.226509Z","title":"Nozari and S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.226509Z"},"links":{"cited_paper":"/paper/0809.3144","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:2c18246d7b434fdf37e305da1779e04ca162581004f2277ab72574553ff273da","observation_id":"bbb96b63-0731-4c97-a5e4-f7ef1545f360","resolution":{"observed_at":"2026-08-06T05:42:30.226509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.2302","last_updated":"2010-04-06T05:10:30Z","snapshot_observed_at":"2026-08-09T17:57:12.860373Z","submitted_at":"2010-02-11T08:50:16Z","title":"Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics","version":2},"cited_work":{"arxiv_id":"1002.2302","doi":null,"metadata_source":"pith","pith_arxiv_id":"1002.2302","snapshot_observed_at":"2026-08-06T05:42:37.795245Z","title":"Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics","venue":"gr-qc","work_id":"25d3cf26-b07f-4eda-a6d0-468c31067774","year":2010},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.316349Z"},"links":{"cited_paper":"/paper/1002.2302","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:44d22a54bb02c9d7f97bb5a54ff9e01698c11092ad7ee4cc304998f0df7d0e11","observation_id":"ca2a21c4-8721-45a7-aa41-afa7dde4acff","resolution":{"observed_at":"2026-08-06T05:42:37.874272Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0204029","last_updated":"2002-08-08T00:47:37Z","snapshot_observed_at":"2026-07-07T03:15:37.246072Z","submitted_at":"2002-04-06T06:56:36Z","title":"Black hole entropy without brick walls","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0204029","snapshot_observed_at":"2026-08-06T05:42:30.648828Z","title":"Li, Phys","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.648828Z"},"links":{"cited_paper":"/paper/gr-qc/0204029","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:708df9dd616e7aec7e65cc27e6a6e7a3b428d3f4a86295b199f23e3e6391d087","observation_id":"e6c725f8-4cd2-4725-8de5-9e0c5dcd1545","resolution":{"observed_at":"2026-08-06T05:42:30.648828Z","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":"2026-08-06T05:42:40.174955Z","title":null,"venue":null,"work_id":"f64fa3de-6c30-4ea8-b47a-87e8dea0f272","year":1975},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.486494Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:0adae99085794eeebc86fa17cc315a62b5103a589e14c60dcaa32b59be0318d5","observation_id":"cf1e0484-82e5-4f83-891f-ee73e1b37a03","resolution":{"observed_at":"2026-08-06T05:42:40.257721Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:40.034192Z","title":"’t Hooft, Nucl","venue":null,"work_id":"e2e7c5ce-23aa-427e-9233-d92465041d40","year":1985},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.554889Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:49d009cd1523dc1e0247ea2603e55ab4db410716918439f8cc3013a7d6d0ee4b","observation_id":"38e16c80-097f-48f0-9034-6265c67a535b","resolution":{"observed_at":"2026-08-06T05:42:40.095588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:39.515878Z","title":null,"venue":null,"work_id":"c8a66f1f-6552-4ef2-b11e-75bcf2c0f29c","year":2003},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.932020Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:95595bed042ada6303abb8bcd8912c936627cedf94853845f326c9b2ba95854f","observation_id":"7be60740-f013-42fc-bfe0-c1d4c5c7b5f2","resolution":{"observed_at":"2026-08-06T05:42:39.608259Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:39.899265Z","title":null,"venue":null,"work_id":"93c51ff6-f80a-4f8e-83a8-e901302e372b","year":2001},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.747894Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:5555ac38e197a2da1d79913b4938cfd98b758c8c5be81f28c72645c6cc83b614","observation_id":"bfc4387d-4a01-43d1-87d1-ed6f0f875942","resolution":{"observed_at":"2026-08-06T05:42:39.961477Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:39.710564Z","title":null,"venue":null,"work_id":"e1af40bc-e6e1-4e03-87db-2955c892ffe4","year":2003},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:30.827454Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:6adcf728c54760d562fe1b84808cd9bc48ed4468c4eff6e004043ffee226650a","observation_id":"ed79200c-99fb-43c8-8c4e-340e80bdb6fe","resolution":{"observed_at":"2026-08-06T05:42:39.805114Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:41.470665Z","title":"This all-order GUP correction in the Planck length is expressed as ∆x∆p≥ ¯h 2eαL2 p ∆p2 ¯h2","venue":null,"work_id":"e3783ff4-5431-456e-ae61-25c36995b8b7","year":null},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:28.455826Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:95225c02a237c0bcce0fa4b28cbe974367b191d5ee0f1e93bc4d2d60bb0e342d","observation_id":"1e0bb28d-363f-447b-a000-473be44f001e","resolution":{"observed_at":"2026-08-06T05:42:41.546667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:39.366714Z","title":null,"venue":null,"work_id":"848768f6-d094-4f39-8b48-762fcdb098c6","year":2004},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.012312Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:c15a0448da8e49ab14200706a0f319733c86275be0594a7701ad52aa2adf1f98","observation_id":"b4ce43d8-c24e-4afd-997f-85238b6b2aa9","resolution":{"observed_at":"2026-08-06T05:42:39.430432Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0605084","last_updated":"2006-11-02T02:39:28Z","snapshot_observed_at":"2026-08-08T13:11:14.973523Z","submitted_at":"2006-05-15T06:24:54Z","title":"Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle","version":3},"cited_work":{"arxiv_id":"gr-qc/0605084","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0605084","snapshot_observed_at":"2026-08-06T05:42:37.383018Z","title":"Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle","venue":"gr-qc","work_id":"2283968c-5c58-400e-b1a4-6c78fe6c1953","year":2006},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.072925Z"},"links":{"cited_paper":"/paper/gr-qc/0605084","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:c24a97b926dd10044949ee0de418ae12093fffe5b4ab7a826985966309011b3c","observation_id":"f190c9c7-060e-4d0b-9d28-e372d29ccdfa","resolution":{"observed_at":"2026-08-06T05:42:37.509413Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0704.1261","last_updated":"2007-04-10T15:24:15Z","snapshot_observed_at":"2026-07-06T01:26:05.057259Z","submitted_at":"2007-04-10T15:24:15Z","title":"Quantum-corrected black hole thermodynamics to all orders in the Planck length","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0704.1261","snapshot_observed_at":"2026-08-06T05:42:31.151378Z","title":"Nouicer, Phys","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.151378Z"},"links":{"cited_paper":"/paper/0704.1261","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:4c52a37b15b5f6f1b005afbd57f2d1bd487fade4c5329cee37cb3204292a3712","observation_id":"0d7db5ef-7643-46a3-886b-cf4b6886545c","resolution":{"observed_at":"2026-08-06T05:42:31.151378Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0702018","last_updated":"2007-02-05T00:47:23Z","snapshot_observed_at":"2026-07-07T03:23:45.063198Z","submitted_at":"2007-02-05T00:47:23Z","title":"Entropy of a charged black hole in two dimensions without cutoff","version":1},"cited_work":{"arxiv_id":"gr-qc/0702018","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0702018","snapshot_observed_at":"2026-08-06T05:42:37.151850Z","title":"Entropy of a charged black hole in two dimensions without cutoff","venue":"gr-qc","work_id":"6ed66187-d1ea-40b5-84ec-a791d6a005e6","year":2007},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.251552Z"},"links":{"cited_paper":"/paper/gr-qc/0702018","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:e310bd1aeb1548d0534693b23ec81edf4f13d1b6de973550585067e140e0b3e6","observation_id":"a679aaa8-55f7-4b57-99b1-9b60d58a0ae1","resolution":{"observed_at":"2026-08-06T05:42:37.283705Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0707.2128","last_updated":"2007-09-05T01:55:27Z","snapshot_observed_at":"2026-08-10T05:24:57.833847Z","submitted_at":"2007-07-14T07:58:06Z","title":"Entropy of the Schwarzschild black hole to all orders in the Planck length","version":2},"cited_work":{"arxiv_id":"0707.2128","doi":null,"metadata_source":"pith","pith_arxiv_id":"0707.2128","snapshot_observed_at":"2026-08-06T05:42:37.007518Z","title":"Entropy of the Schwarzschild black hole to all orders in the Planck length","venue":"gr-qc","work_id":"c875278c-9146-4c0b-8bac-d7b6f0451163","year":2007},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.398767Z"},"links":{"cited_paper":"/paper/0707.2128","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:55992b951bc5c6e28bc144a1792e649b82be1b053f83d25c88aed8e1db081807","observation_id":"2f4abdab-05ed-4fa3-8913-024e04e68ea0","resolution":{"observed_at":"2026-08-06T05:42:37.069415Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1007.1824","last_updated":"2010-11-16T03:04:00Z","snapshot_observed_at":"2026-08-09T20:05:14.212293Z","submitted_at":"2010-07-12T05:56:52Z","title":"Lifshitz scalar, brick wall method, and GUP in Ho\\v{r}ava-Lifshitz Gravity","version":3},"cited_work":{"arxiv_id":"1007.1824","doi":null,"metadata_source":"pith","pith_arxiv_id":"1007.1824","snapshot_observed_at":"2026-08-06T05:42:36.833013Z","title":"Lifshitz scalar, brick wall method, and GUP in Ho\\v{r}ava-Lifshitz Gravity","venue":"hep-th","work_id":"dd81cad6-683c-4516-8955-e0118e46dd34","year":2010},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.518104Z"},"links":{"cited_paper":"/paper/1007.1824","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:8f8f71edc72dd3464ef4cac5c62ff600df350adb6f04a92f405e825c0b39d47a","observation_id":"69c8ce68-da16-4519-8f9b-c393cf842424","resolution":{"observed_at":"2026-08-06T05:42:36.931358Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1405.2046","last_updated":"2014-08-08T17:31:42Z","snapshot_observed_at":"2026-07-06T03:43:12.725828Z","submitted_at":"2014-05-08T18:59:51Z","title":"The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle","version":2},"cited_work":{"arxiv_id":"1405.2046","doi":null,"metadata_source":"pith","pith_arxiv_id":"1405.2046","snapshot_observed_at":"2026-08-06T05:42:36.627637Z","title":"The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle","venue":"hep-th","work_id":"38cceec5-c907-46a9-b80c-dc58c8d35429","year":2014},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.646139Z"},"links":{"cited_paper":"/paper/1405.2046","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:fa01e0bf049d647d784c8fc1d1a35eebc1e2be0383bb983d2938eb9af8b284e1","observation_id":"b3533631-341f-41eb-984b-f5c82fcf9239","resolution":{"observed_at":"2026-08-06T05:42:36.742552Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:39.142558Z","title":null,"venue":null,"work_id":"376e93d6-9949-4932-8846-3212c057460b","year":2017},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.792526Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:802bb14f9563ebc4053df3d0acb0d30e9e4407e29687cf2dc02cba98b19dec2e","observation_id":"7a7b302b-65d2-413e-9f59-37f040ef27e1","resolution":{"observed_at":"2026-08-06T05:42:39.249464Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.08494","last_updated":"2019-05-06T18:27:52Z","snapshot_observed_at":"2026-07-30T19:53:32.463108Z","submitted_at":"2019-03-20T13:15:27Z","title":"Linear and Quadratic GUP, Liouville Theorem, Cosmological Constant, and Brick Wall Entropy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.08494","snapshot_observed_at":"2026-08-06T05:42:31.975283Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:31.975283Z"},"links":{"cited_paper":"/paper/1903.08494","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:6a0d8148c53f47e272ac840870fd8e4c2798cd8352ea45cb2892667af06054cf","observation_id":"b1ec5e26-7f9c-469e-b98e-5cb793b77055","resolution":{"observed_at":"2026-08-06T05:42:31.975283Z","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":"2026-08-06T05:42:38.913891Z","title":null,"venue":null,"work_id":"48c5ea1a-1a85-4b3f-978d-675c1b594cf9","year":2021},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.164651Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:efdafb1fb9b60006b909db1cee662a03e3d309c0bba9fd1da112394e5f71f223","observation_id":"6c65f081-61b4-42e2-aa03-7eab655b9260","resolution":{"observed_at":"2026-08-06T05:42:39.035255Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.05755","last_updated":"2022-10-22T11:02:14Z","snapshot_observed_at":"2026-08-09T19:46:14.850587Z","submitted_at":"2021-03-08T15:20:43Z","title":"GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity","version":2},"cited_work":{"arxiv_id":"2103.05755","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.05755","snapshot_observed_at":"2026-08-06T05:42:36.493555Z","title":"GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity","venue":"gr-qc","work_id":"d0d84666-f0c5-4837-af7f-485de92ff696","year":2021},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.295499Z"},"links":{"cited_paper":"/paper/2103.05755","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:dd3ffcd8d48bd48b456d01cc27d18c1a43076c36fedea04abaa9ed5751e5f7d3","observation_id":"f985acb1-a487-429d-aefc-232b3e33711d","resolution":{"observed_at":"2026-08-06T05:42:36.541579Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:38.770422Z","title":"Li, Universe 9, 253 (2023)","venue":null,"work_id":"ce3be8ba-fe30-4c1b-8122-dd8bb506810f","year":2023},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.447788Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:adb7af1f5f3db8838f81524d6036ed0a567949bde9813d90113bf117bcc8fcbc","observation_id":"137c95a4-536d-4ade-9063-dc8223fb42d6","resolution":{"observed_at":"2026-08-06T05:42:38.830029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0706.2749","last_updated":"2007-11-22T12:20:45Z","snapshot_observed_at":"2026-07-06T01:28:27.125764Z","submitted_at":"2007-06-19T09:44:51Z","title":"Black holes thermodynamics to all orders in the Planck length in extra dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0706.2749","snapshot_observed_at":"2026-08-06T05:42:32.565310Z","title":"Nouicer, Class","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.565310Z"},"links":{"cited_paper":"/paper/0706.2749","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:20baa1920e547bc72641e4544f62cf15df958c8164aaf0a2a66842bf70c169ed","observation_id":"59d40ebe-8ad3-45b5-9477-508cb6f71528","resolution":{"observed_at":"2026-08-06T05:42:32.565310Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1110.2999","last_updated":"2012-10-19T07:55:54Z","snapshot_observed_at":"2026-07-06T02:35:46.044469Z","submitted_at":"2011-10-13T17:09:22Z","title":"A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1110.2999","snapshot_observed_at":"2026-08-06T05:42:32.765071Z","title":"Pedram, Phys","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.765071Z"},"links":{"cited_paper":"/paper/1110.2999","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:edd9ebc9a89816edf10be778c8f0c4853662e246562955d85b8bc8855f69bfff","observation_id":"3c64fd5c-fa14-4eaa-9139-6a4501a7ae06","resolution":{"observed_at":"2026-08-06T05:42:32.765071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.0206","last_updated":"2014-11-23T18:31:17Z","snapshot_observed_at":"2026-08-01T18:44:32.108848Z","submitted_at":"2014-09-29T22:59:58Z","title":"Generalized Uncertainty Principle: Approaches and Applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.0206","snapshot_observed_at":"2026-08-06T05:42:32.927387Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:32.927387Z"},"links":{"cited_paper":"/paper/1410.0206","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:b6eea8a138fc3305865a30a943429e1ccc43d526a019cc9965a4461bef68cbb6","observation_id":"57ebbe03-8d07-4f05-a982-557949ed2cf8","resolution":{"observed_at":"2026-08-06T05:42:32.927387Z","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":"2026-08-06T05:42:38.589812Z","title":null,"venue":null,"work_id":"e53ab5ba-bfec-4631-8eb5-bd87d8dc8dd8","year":2019},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.069027Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:c47c6a6167ab15c0f82db65f921ca176a5c6902d2c3e2447cd7aa7daf99862c9","observation_id":"9874d110-7d18-4f57-adf0-c0ad78a131d2","resolution":{"observed_at":"2026-08-06T05:42:38.699048Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.05896","last_updated":"2020-10-12T17:46:39Z","snapshot_observed_at":"2026-08-09T13:51:02.208186Z","submitted_at":"2020-10-12T17:46:39Z","title":"Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy","version":1},"cited_work":{"arxiv_id":"2010.05896","doi":null,"metadata_source":"pith","pith_arxiv_id":"2010.05896","snapshot_observed_at":"2026-08-06T05:42:36.336253Z","title":"Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy","venue":"hep-th","work_id":"3c85863b-b90d-4155-8a39-d6741d1132f6","year":2020},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.206679Z"},"links":{"cited_paper":"/paper/2010.05896","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:584416f93132137bd01308f094569d88b2451c50c031a735a567f949626947e3","observation_id":"33d4b97d-508e-4442-8588-24a9a321d434","resolution":{"observed_at":"2026-08-06T05:42:36.392056Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.12918","last_updated":"2022-10-11T12:57:37Z","snapshot_observed_at":"2026-08-03T04:26:33.154390Z","submitted_at":"2022-08-27T03:09:57Z","title":"New generalized uncertainty principle with parameter adaptability for the minimum length","version":2},"cited_work":{"arxiv_id":"2208.12918","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.12918","snapshot_observed_at":"2026-08-06T05:42:36.215314Z","title":"New generalized uncertainty principle with parameter adaptability for the minimum length","venue":"gr-qc","work_id":"c70ee259-45d8-4c03-a174-c0e4587f9bc0","year":2022},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.382511Z"},"links":{"cited_paper":"/paper/2208.12918","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:07e9c8dfc7319435b78b432273d7acab9d21578d58db2790ed86da94980a66aa","observation_id":"335fa1b9-07ac-408b-8cbc-726cf4da9da7","resolution":{"observed_at":"2026-08-06T05:42:36.291172Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.04686","last_updated":"2024-01-31T16:59:44Z","snapshot_observed_at":"2026-08-06T13:26:22.692409Z","submitted_at":"2022-08-09T12:02:24Z","title":"Gravitational Observations and LQGUP","version":2},"cited_work":{"arxiv_id":"2208.04686","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.04686","snapshot_observed_at":"2026-08-06T05:42:36.077486Z","title":"Gravitational Observations and LQGUP","venue":"gr-qc","work_id":"4c974b04-7de7-4bbd-9378-9b7a09016a05","year":2022},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.506070Z"},"links":{"cited_paper":"/paper/2208.04686","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:bae23da4f9a12b63645224ed03ec77fd2367c931a6454b09a62bc6be69c7c852","observation_id":"8b6e3f01-331b-4002-ad82-4fb1b0e8e907","resolution":{"observed_at":"2026-08-06T05:42:36.122829Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:38.415251Z","title":"Sonnino, Universe 10, 390 (2024)","venue":null,"work_id":"563b931a-c840-4216-9780-6630e5ee313e","year":2024},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.590507Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:f16f121fc1e98416ea91ec2a15b06dda6c7ae928f92399ecd80f2a7912826764","observation_id":"f44d2608-78fc-4c40-8c56-824e866af4e9","resolution":{"observed_at":"2026-08-06T05:42:38.506777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1407.0113","last_updated":"2014-07-01T06:36:07Z","snapshot_observed_at":"2026-08-07T17:29:29.974073Z","submitted_at":"2014-07-01T06:36:07Z","title":"Gravitational tests of the Generalized Uncertainty Principle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1407.0113","snapshot_observed_at":"2026-08-06T05:42:33.696465Z","title":"Scardigli and R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.696465Z"},"links":{"cited_paper":"/paper/1407.0113","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:fed49570872d5bd0fdf493e3a167e65c43cd629891e0a8e51733b91326784f4c","observation_id":"e1586268-46d2-45e0-b6c8-6aed4a7827b1","resolution":{"observed_at":"2026-08-06T05:42:33.696465Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.07281","last_updated":"2016-06-23T12:11:50Z","snapshot_observed_at":"2026-08-04T22:41:34.404476Z","submitted_at":"2016-06-23T12:11:50Z","title":"Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy","version":1},"cited_work":{"arxiv_id":"1606.07281","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.07281","snapshot_observed_at":"2026-08-06T05:42:35.887794Z","title":"Effective geometries and generalized uncertainty principle corrections to the Bekenstein-Hawking entropy","venue":"gr-qc","work_id":"be8300be-223b-4102-85df-051924344e4d","year":2016},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:33.871938Z"},"links":{"cited_paper":"/paper/1606.07281","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:481e4eb7cc8a23d44e22e37e99c173cc4029f6313c60874be2eb8dc43a00e8fa","observation_id":"e5ef7ec1-2653-4f36-8ace-0eb60a832c8c","resolution":{"observed_at":"2026-08-06T05:42:35.947622Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.13464","last_updated":"2020-04-09T17:56:27Z","snapshot_observed_at":"2026-08-10T00:48:21.873212Z","submitted_at":"2020-03-27T14:59:50Z","title":"Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP","version":2},"cited_work":{"arxiv_id":"2003.13464","doi":null,"metadata_source":"pith","pith_arxiv_id":"2003.13464","snapshot_observed_at":"2026-08-06T05:42:35.680938Z","title":"Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP","venue":"gr-qc","work_id":"9dac4a49-0312-4dcc-8409-4bf296b102e2","year":2020},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.033999Z"},"links":{"cited_paper":"/paper/2003.13464","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:4502c7048293c38ed6a8454262d19e0c54d7ea4ca4f0d2da68017d7b4e63d03b","observation_id":"b4961fe4-4b1c-40bd-9f21-11d9db325e2e","resolution":{"observed_at":"2026-08-06T05:42:35.754109Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.10719","last_updated":"2023-03-19T17:29:37Z","snapshot_observed_at":"2026-08-10T07:55:10.547927Z","submitted_at":"2023-03-19T17:29:37Z","title":"A Critique on Some Aspects of GUP Effective Metric","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.10719","snapshot_observed_at":"2026-08-06T05:42:34.127261Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.127261Z"},"links":{"cited_paper":"/paper/2303.10719","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:7b6b60efb1fcde424f0e280e24f07ca04bf8eabd59f005e25c5bb8e614db84d9","observation_id":"5562d62e-122b-4c05-adb5-c38e227efda8","resolution":{"observed_at":"2026-08-06T05:42:34.127261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.13608","last_updated":"2024-06-02T07:53:47Z","snapshot_observed_at":"2026-07-06T17:47:42.867147Z","submitted_at":"2024-03-20T13:59:23Z","title":"Tidal effects based on GUP-induced effective metric","version":2},"cited_work":{"arxiv_id":"2403.13608","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.13608","snapshot_observed_at":"2026-08-06T05:42:35.528779Z","title":"Tidal effects based on GUP-induced effective metric","venue":"gr-qc","work_id":"c237e44c-814f-468b-a3d0-a291e714c9e3","year":2024},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.253098Z"},"links":{"cited_paper":"/paper/2403.13608","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:20f620799900efef7a8ce2c6540452d3121521bb9fb1f6bb254cc56eab47a90f","observation_id":"c32884c4-be79-40dd-b283-9e2d2e6fd4db","resolution":{"observed_at":"2026-08-06T05:42:35.576021Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.07972","last_updated":"2025-05-12T18:14:44Z","snapshot_observed_at":"2026-08-07T15:47:45.926021Z","submitted_at":"2025-05-12T18:14:44Z","title":"GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce","version":1},"cited_work":{"arxiv_id":"2505.07972","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.07972","snapshot_observed_at":"2026-08-06T05:42:35.375450Z","title":"GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce","venue":"gr-qc","work_id":"204c4075-2942-4d7e-bed9-ba9cffc71edf","year":2025},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.365248Z"},"links":{"cited_paper":"/paper/2505.07972","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:291862c48f47069c9c41f4daffe2a92d7e42ed58e651b6dd7dabe2189b7e43c4","observation_id":"5cb04181-2189-415f-8b3f-101e971e554a","resolution":{"observed_at":"2026-08-06T05:42:35.455691Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-06T05:42:38.270653Z","title":null,"venue":null,"work_id":"65a05a80-896e-440b-936d-2656fd946c91","year":1996},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.502156Z"},"links":{"citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:05d5d79d3d94c4d2292bcd4e76b0295ad3fad5c2b1a47f1bbdfb6c40d371ae82","observation_id":"b529d33a-d87f-4380-b623-97c4942cba85","resolution":{"observed_at":"2026-08-06T05:42:38.339350Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0505015","last_updated":"2005-05-12T18:00:31Z","snapshot_observed_at":"2026-07-07T03:20:53.471754Z","submitted_at":"2005-05-03T19:29:39Z","title":"On Hawking Radiation as Tunneling with Logarithmic Corrections","version":2},"cited_work":{"arxiv_id":"gr-qc/0505015","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0505015","snapshot_observed_at":"2026-08-06T05:42:35.091364Z","title":"On Hawking Radiation as Tunneling with Logarithmic Corrections","venue":"gr-qc","work_id":"154fdc9f-b154-4cd5-8904-b1238992aa0b","year":2005},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.579668Z"},"links":{"cited_paper":"/paper/gr-qc/0505015","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:25a338532b14d2468f14d00a6345a2bdafb794099a8e2d813066ff74eddff87b","observation_id":"4846edfc-06ec-41c1-848b-376901494e7e","resolution":{"observed_at":"2026-08-06T05:42:35.259490Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0505266","last_updated":"2005-09-10T04:18:58Z","snapshot_observed_at":"2026-07-07T04:54:14.908673Z","submitted_at":"2005-05-31T01:07:12Z","title":"Hawking Radiation as Tunneling through the Quantum Horizon","version":2},"cited_work":{"arxiv_id":"hep-th/0505266","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0505266","snapshot_observed_at":"2026-08-06T05:42:34.855606Z","title":"Hawking Radiation as Tunneling through the Quantum Horizon","venue":"hep-th","work_id":"4c148110-32bc-4c7c-9b6b-03152253c9b8","year":2005},"citing_paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T05:42:34.715227Z"},"links":{"cited_paper":"/paper/hep-th/0505266","citing_paper":"/paper/2508.01559"},"observation_digest":"sha256:6edb8eddfdc5d75ccf0cab7360c64ac54963b63b92165e7cde03fecf33637158","observation_id":"32a4bd52-8f73-40af-a6dd-65d95f228bab","resolution":{"observed_at":"2026-08-06T05:42:34.955303Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.01559","last_updated":"2025-08-03T03:13:44Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-09T10:18:00.824350Z","submitted_at":"2025-08-03T03:13:44Z","title":"Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":18,"verified_fuzzy":10},"total_outbound_references":58},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2508.01559."}