{"as_of":"2026-08-12T12:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6898b6a9ff037b48482d9518e10821a2be0643695e733c0333e6692f38a446f2","coverage":[{"denominator":124,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:01:13.979039Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:19:57.885956Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T16:20:01.817431Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"cited_work":{"arxiv_id":"2412.08369","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.08369","snapshot_observed_at":"2026-08-06T16:20:01.817431Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","venue":"gr-qc","work_id":"2aeff2a9-443a-436d-a4c6-57fd93df7706","year":2024},"citing_paper":{"arxiv_id":"2507.13953","last_updated":"2025-07-18T14:21:03Z","snapshot_observed_at":"2026-08-12T07:03:55.261773Z","submitted_at":"2025-07-18T14:21:03Z","title":"Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T16:19:57.885956Z"},"links":{"cited_paper":"/paper/2412.08369","citing_paper":"/paper/2507.13953"},"observation_digest":"sha256:702855f0796982976fa3716023b52bf747e4bbfdc126ace874acdbeb883c5f77","observation_id":"7b0bdd9a-ca02-4b90-a648-0464969afdc2","resolution":{"observed_at":"2026-08-06T16:20:01.891985Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.08369","snapshot_observed_at":"2026-08-03T07:42:10.299528Z","title":"Gravitational lensing and shadow of charged black holes in the presence of nonlinear electrodynamics,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.20004","last_updated":"2026-06-28T09:40:17Z","snapshot_observed_at":"2026-08-06T11:07:19.123180Z","submitted_at":"2026-01-27T19:19:11Z","title":"Branch structure and nonextensive thermodynamics of Kalb-Ramond-ModMax black holes: observational signatures","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-03T07:42:10.299528Z"},"links":{"cited_paper":"/paper/2412.08369","citing_paper":"/paper/2601.20004"},"observation_digest":"sha256:729b79d8f341dd676df7abb69ebffe8d512a9b197041c8cb135bedc80a7afab6","observation_id":"4984c2fc-98e9-4597-ae6e-89a9b3fca746","resolution":{"observed_at":"2026-08-03T07:42:10.299528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.08369/citation-record","integrity":"/paper/2412.08369/integrity","json":"/paper/2412.08369/citation-record.json","paper":"/paper/2412.08369"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:01:13.309549Z","title":"By considering the Θ and b small, Eq","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.309549Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:7bcfe85b1c7e7a581096fb3ab67b18576b848c83b62c71ae5a9171b48d54219f","observation_id":"421ae9ab-f1e2-44f4-8685-7b4e197222dd","resolution":{"observed_at":"2026-08-11T18:01:13.309549Z","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":"2026-08-11T18:01:13.317114Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.317114Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:651425740dbfab5d18331e211c26e966ba4ae1df55da0310c61c66948e21438d","observation_id":"ac6e40b2-8f80-4db0-b5f6-a12b152eaab3","resolution":{"observed_at":"2026-08-11T18:01:13.317114Z","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":"2026-08-11T18:01:13.323150Z","title":null,"venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.323150Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:cf3765b01c39f2b552ce353cfa9e650d00314b7a01c3a8f32b2562320342be91","observation_id":"9f28b628-8d7a-4ed8-a3c3-2aae951a0918","resolution":{"observed_at":"2026-08-11T18:01:13.323150Z","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":"2026-08-11T18:01:13.330674Z","title":"String theory and noncommutative geometry,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.330674Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6cefc202531a1686fa7b7f1eca8154b6ad9b372498a02aa3f1e749a5a518a616","observation_id":"b261f058-90f7-4eef-9862-643cbd8262ed","resolution":{"observed_at":"2026-08-11T18:01:13.330674Z","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":"2026-08-11T18:01:13.340436Z","title":"Quantum field theory on noncommutative spaces,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.340436Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:9936ccb9d5ed5dec35a52faa0f48b4ef7950a6ecb510275cbefcdfb9e224faa9","observation_id":"44ad2474-7304-47f8-bb67-4c97887fcb1b","resolution":{"observed_at":"2026-08-11T18:01:13.340436Z","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":"2026-08-11T18:01:13.350234Z","title":"Symmetry, gravity and noncommutativity,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.350234Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f9637c4f56f3fc9415da3e0b4209957e4f6467992c832e28fc23b5f921e202c0","observation_id":"128b5242-afbe-454a-8f96-22e817596d6f","resolution":{"observed_at":"2026-08-11T18:01:13.350234Z","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":"2026-08-11T18:01:13.357330Z","title":"Superfield covariant analysis of the divergence structure of noncommutative supersymmetric qed 4,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.357330Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:ddf86cab1ce2967cd34ceeef9aa1ba9bd4ededdb9960a1055a12cbdbc3f5167d","observation_id":"56351338-e430-48a6-84f3-f8aedd1a2049","resolution":{"observed_at":"2026-08-11T18:01:13.357330Z","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":"2026-08-11T18:01:13.363568Z","title":"On the finiteness of noncommutative supersymmetric qed3 in the covariant superfield formulation,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.363568Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:349a7b00545db955390285c6ccd0bf5f8f336ad11ffc0c3d75c70d5863b5aaad","observation_id":"7c985755-9026-423c-a129-4ae338c3993c","resolution":{"observed_at":"2026-08-11T18:01:13.363568Z","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":"2026-08-11T18:01:13.372630Z","title":"Towards a consistent noncommutative supersymmetric yang-mills theory: Su- perfield covariant analysis,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.372630Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:a8b8d1d498dc833a99e678f46e33baad4aab42d6b27ad22f02e107dc0bd3287c","observation_id":"f9971508-b995-4557-9e7b-dc097308ff31","resolution":{"observed_at":"2026-08-11T18:01:13.372630Z","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":"2026-08-11T18:01:13.378275Z","title":"Deforming einstein’s gravity,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.378275Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:177b01db4a45e219ce61d3995b57f321158047a8bae3a2aa4104271dcaf67ac4","observation_id":"f0293e09-f49d-4569-88dd-6ed1e05ff8d3","resolution":{"observed_at":"2026-08-11T18:01:13.378275Z","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":"2026-08-11T18:01:13.384044Z","title":"Absorption and scattering of a noncommutative black hole,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.384044Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:fa7e55790ff7b5c37dd690ba7baf7aacf0eaef9a3882f2cc780a351d1a3c59d9","observation_id":"c1d4d334-3915-4f36-bb92-685945180aee","resolution":{"observed_at":"2026-08-11T18:01:13.384044Z","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":"2026-08-11T18:01:13.389721Z","title":"Absorption, scattering and shadow by a noncommutative black hole with global monopole,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.389721Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:7ba3d74a192c7145cb769a127ee273120bf405d2f54bdb43a66ec9a3bb589a58","observation_id":"7cfb1afa-c87b-4698-b0a1-be87a1147391","resolution":{"observed_at":"2026-08-11T18:01:13.389721Z","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":"2026-08-11T18:01:13.398384Z","title":"Quasinormal modes and shadow of a schwarzschild black hole with gup,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.398384Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:b43ca96f40e1559d216d89622c2e211238eaf15c91450a40d95a726fdbf04d02","observation_id":"466248e8-e99b-4e37-91c9-9d8a9daacba7","resolution":{"observed_at":"2026-08-11T18:01:13.398384Z","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":"2026-08-11T18:01:13.403098Z","title":"Exploring non-commutativity as a perturbation in the schwarzschild black hole: quasinormal modes, scattering, and shad- ows,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.403098Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:9efc9631a2b336e9faab0f086333d22129bb38bee255fa8b1c8d44fc5f7fe153","observation_id":"8ffd64fa-155c-4e7b-a103-644e07f90120","resolution":{"observed_at":"2026-08-11T18:01:13.403098Z","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":"2026-08-11T18:01:13.414076Z","title":"Desitter gauge theory of gravitation,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.414076Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8f575012f0f3a50153dbd5559ed5bb2a00f06ca1b4e97a5050886175f65cc166","observation_id":"5cecde28-b6c0-436c-847c-67dd8403c166","resolution":{"observed_at":"2026-08-11T18:01:13.414076Z","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":"2026-08-11T18:01:13.419795Z","title":"Charged rotating noncommutative black holes,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.419795Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:16e390592a7a5d5d55dfe53116879d13a3ece4fa20b956b5dad705cb54cd0bb9","observation_id":"9ae377ec-fa0c-49e7-ae38-608df7c0357b","resolution":{"observed_at":"2026-08-11T18:01:13.419795Z","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":"2026-08-11T18:01:13.424868Z","title":"Cosmological production of noncommutative black holes,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.424868Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:9651a9756496c605d277118cf7db30824aee57671b906af9c65d8c9529cb7c5f","observation_id":"d071c1a2-6105-4792-9cd7-c164b84b16e0","resolution":{"observed_at":"2026-08-11T18:01:13.424868Z","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":"2026-08-11T18:01:13.429765Z","title":"Noncommutative black holes, the final appeal to quantum gravity: a review,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.429765Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:1d74b9fb1e7e46c2fe542fb26010689664a9fbd740d683ee3579726979b4d877","observation_id":"a2395d55-ef8b-4ac6-8715-2f92907067f4","resolution":{"observed_at":"2026-08-11T18:01:13.429765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.09147","last_updated":"2024-05-17T06:23:18Z","snapshot_observed_at":"2026-08-10T19:35:48.090885Z","submitted_at":"2023-01-22T16:04:49Z","title":"Quasinormal Modes in Noncommutative Schwarzschild black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.09147","snapshot_observed_at":"2026-08-11T18:01:13.435474Z","title":"Quasinormal modes in noncommutative schwarzschild black holes,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.435474Z"},"links":{"cited_paper":"/paper/2301.09147","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d16f6ceb26c7043e1850c6fe6648d51abee3352fcc554e3f0538fe1723dae98e","observation_id":"e07105e3-b2f5-4358-a48f-be7b23aa7a15","resolution":{"observed_at":"2026-08-11T18:01:13.435474Z","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":"2026-08-11T18:01:13.444273Z","title":"Non-commutative effects on gravitational measurements,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.444273Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:41beb7ac693a811252da7792d579656740ff54aa1da54600a7a8793958acc022","observation_id":"4c89e61e-ed36-43ed-83f1-828bd319c950","resolution":{"observed_at":"2026-08-11T18:01:13.444273Z","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":"2026-08-11T18:01:13.449686Z","title":"Quasinormal modes and shadow of noncommutative black hole,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.449686Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:598e3d9af327cfdad0aaf37a47ba33d3aaf49994ea1590d0e705f7b9b36f9dd9","observation_id":"04041789-8dfd-448a-9f75-567e8eece192","resolution":{"observed_at":"2026-08-11T18:01:13.449686Z","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":"2026-08-11T18:01:13.455083Z","title":"Towards noncommutative quantum black holes,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.455083Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:057e0286f4fd67cfd52f39a437fb3507ca8a0d076a9cca02c00c47e8ff5c4ce6","observation_id":"21cf495a-35a6-46b7-98ff-a35d7bcca7f4","resolution":{"observed_at":"2026-08-11T18:01:13.455083Z","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":"2026-08-11T18:01:13.463043Z","title":"Thermodynamics and evaporation of the non- commutative black hole,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.463043Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6b6da73586f68056825ee8d5df6e7364d545d7eb4df8bcfac6b2c84738c6c666","observation_id":"5073386f-966e-4536-b409-80aa18c2dda6","resolution":{"observed_at":"2026-08-11T18:01:13.463043Z","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":"2026-08-11T18:01:13.468788Z","title":"Thermodynamics and evaporation of a modified schwarzschild black hole in a non–commutative gauge theory,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.468788Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:c30776f02bcf111251c19c9f528b32381b4462b2de3f00a9a93a35850cf7b55d","observation_id":"5f0fed39-1ac8-460f-a8ef-641ca80e0dc6","resolution":{"observed_at":"2026-08-11T18:01:13.468788Z","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":"2026-08-11T18:01:13.477165Z","title":"Thermodynamics of a bardeen black hole in noncommutative space,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.477165Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:4eb66fb71b6d2562856ad3269287b71206f6eb482d65f948b57be31c717c52b9","observation_id":"138a8ea1-a5c1-469d-ae3a-5b3222215da8","resolution":{"observed_at":"2026-08-11T18:01:13.477165Z","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":"2026-08-11T18:01:13.483426Z","title":"Noncommutative black hole thermodynamics,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.483426Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:1db002c26cc2f7f8d596b010ee514b67746862b45f9019d6815d29bf9fcb816e","observation_id":"152c921a-92f0-4d20-95c4-0dd9fa2adcb0","resolution":{"observed_at":"2026-08-11T18:01:13.483426Z","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":"2026-08-11T18:01:13.490938Z","title":"Thermodynamics of noncommutative schwarzschild black hole,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.490938Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:ac5384cbf6eacba53db638daffaec27481dff353e60d04bd510ee4a4ab79e8cd","observation_id":"86f66983-d435-4c35-bf06-3c3f2292a537","resolution":{"observed_at":"2026-08-11T18:01:13.490938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0608077","last_updated":"2006-12-12T11:30:18Z","snapshot_observed_at":"2026-07-07T03:22:54.661839Z","submitted_at":"2006-08-16T09:41:35Z","title":"Reissner-Nordstr\\\"{o}m Black Hole Thermodynamics in Noncommutative Spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0608077","snapshot_observed_at":"2026-08-11T18:01:13.496839Z","title":"Reissner-nordstr \\","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.496839Z"},"links":{"cited_paper":"/paper/gr-qc/0608077","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f003810c9b2ea50f436c8ebf7a873ecac37c113f392002030b7ea7036d446a51","observation_id":"7d390ff2-93b5-447f-ad01-a0da1d3b3a82","resolution":{"observed_at":"2026-08-11T18:01:13.496839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08587","last_updated":"2023-08-14T16:50:18Z","snapshot_observed_at":"2026-08-06T14:22:59.120283Z","submitted_at":"2023-05-15T12:12:40Z","title":"Thermal analysis of photon-like particles in rainbow gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.08587","snapshot_observed_at":"2026-08-11T18:01:13.502789Z","title":"Thermal analysis of photon-like particles in rainbow gravity,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.502789Z"},"links":{"cited_paper":"/paper/2305.08587","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6eaad14088937e8d358b8ce54db9c1b453a531ecb70a4ee706876194edca8024","observation_id":"981007d8-9193-443a-b70f-48c3664ca75d","resolution":{"observed_at":"2026-08-11T18:01:13.502789Z","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":"2026-08-11T18:01:13.509297Z","title":"Thermodynamical properties of an ideal gas in a traversable wormhole,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.509297Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:a60e9506a512b96dd226e7bfcc8f3bffb4394e828ed3a104520d6fcbeb14dba4","observation_id":"5c66b8c7-d5d2-4fcd-b476-b86ea7c49168","resolution":{"observed_at":"2026-08-11T18:01:13.509297Z","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":"2026-08-11T18:01:13.515447Z","title":"Corrections to schwarzschild solution in noncom- mutative gauge theory of gravity,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.515447Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:bcbfe4f710a35484019940d9a3109d767f36b139e2f09de44542b862056a1dc9","observation_id":"3c714ccd-7678-43a6-b06d-d89e929c98e2","resolution":{"observed_at":"2026-08-11T18:01:13.515447Z","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":"2026-08-11T18:01:13.522430Z","title":"Noncommutative geometry inspired schwarzschild black hole,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.522430Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:de3213da47a59fa965460e2894afce7425637120de2beeed40d1f076320e42dc","observation_id":"48345f3c-ff3c-4f37-82b5-edffd426af1c","resolution":{"observed_at":"2026-08-11T18:01:13.522430Z","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":"2026-08-11T18:01:13.530157Z","title":"Ligo scientific collaboration and virgo collaboration (2016) directly comparing gw150914 with numerical solutions of einstein’s equations for binary black hole coalescence,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.530157Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:be06c5bc9e0f5e5406997522048d787cc02de6f8129989bbf1f554d69655ce86","observation_id":"e0af96a9-a3b3-42bf-aa02-aaa3b9f78d84","resolution":{"observed_at":"2026-08-11T18:01:13.530157Z","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":"2026-08-11T18:01:13.536920Z","title":"Gw151226: observation of gravitational waves from a 22-solar-mass binary black hole coalescence,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.536920Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:03f20def2939dfb49fd4b3aa785314423a8375055af0b08b5b75696f7dc22430","observation_id":"c8b7c892-bee5-4f5c-8656-e1bd715811e8","resolution":{"observed_at":"2026-08-11T18:01:13.536920Z","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":"2026-08-11T18:01:13.543637Z","title":"Gw170814: a three-detector observation of grav- itational waves from a binary black hole coalescence,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.543637Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:dc9fc1ef1df654bdb6605625172d4fd91008dbc108ccbbed7273282043544a75","observation_id":"cd7d28a4-695d-4932-9572-9c58ad533dd7","resolution":{"observed_at":"2026-08-11T18:01:13.543637Z","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":"2026-08-11T18:01:13.550259Z","title":"Lensing efficiency for gravitational wave mergers,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.550259Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:e45a4545675b4b5091089d148ab0c556573df48162b9add0dc8884ba4422bc73","observation_id":"864595e9-a15a-4707-bdfd-08690817fdc6","resolution":{"observed_at":"2026-08-11T18:01:13.550259Z","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":"2026-08-11T18:01:13.557177Z","title":"Probing the theory of gravity with gravitational lensing of gravitational waves and galaxy surveys,","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.557177Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f0b77d41387743a79672ab1dc7ce54632629453fb9c91b9657b841e8e026d3e1","observation_id":"b739f6c6-f67f-4314-89d0-5d6fe970a119","resolution":{"observed_at":"2026-08-11T18:01:13.557177Z","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":"2026-08-11T18:01:13.567520Z","title":"The gravity field of a particle,","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.567520Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:1fa32690a9ef94b71621f48ddc32963f62720f7671abb8ae519345643a30fec7","observation_id":"53a077f7-84b0-4f15-abbd-7bba6239dcfd","resolution":{"observed_at":"2026-08-11T18:01:13.567520Z","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":"2026-08-11T18:01:13.576607Z","title":"On light tracks near a very massive star,","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.576607Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6afe1c604d635f95614b84663f039b76ecb494ab3d565bd3e8e0a2728fb71919","observation_id":"7a83034a-6aa5-4ba0-b16d-c725e4acf870","resolution":{"observed_at":"2026-08-11T18:01:13.576607Z","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":"2026-08-11T18:01:13.582344Z","title":"Sinfoni in the galactic center: young stars and infrared flares in the central light-month,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.582344Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:938965b07290b9be89d9820d7e1268093be112cc50cff90d08328fce2bef8954","observation_id":"324f11aa-a858-4667-8c7a-aae1721654e3","resolution":{"observed_at":"2026-08-11T18:01:13.582344Z","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":"2026-08-11T18:01:13.595116Z","title":"First m87 event horizon telescope results. ii. array and instru- mentation,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.595116Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6b5220c4b8f22ccbd6847091f60fbd5d7d8a74224a7ed76d8b52fc6a97a79882","observation_id":"3b01bc7f-75c4-4640-be9a-5d3e7a0b821c","resolution":{"observed_at":"2026-08-11T18:01:13.595116Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.11241","last_updated":"2019-06-26T18:06:49Z","snapshot_observed_at":"2026-08-07T19:52:43.645655Z","submitted_at":"2019-06-26T18:06:49Z","title":"First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.11241","snapshot_observed_at":"2026-08-11T18:01:13.606121Z","title":"First m87 event horizon telescope results. iv. imaging the central supermassive black hole,","venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.606121Z"},"links":{"cited_paper":"/paper/1906.11241","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:69d9cf06f68759aedbd9d5be4f6432091a8520096522897373af728a395d09d5","observation_id":"ee6cff04-7b89-4585-9390-27570d3d2d5c","resolution":{"observed_at":"2026-08-11T18:01:13.606121Z","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":"2026-08-11T18:01:13.611123Z","title":"First m87 event horizon telescope results. v. physical origin of the asymmetric ring,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.611123Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:02d4c6db92102cabb15c9cf72782ac44da3a0b33038cb121e157db241a074666","observation_id":"81146ff7-fc44-4271-a475-82d9d91c155e","resolution":{"observed_at":"2026-08-11T18:01:13.611123Z","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":"2026-08-11T18:01:13.616127Z","title":"First m87 event horizon telescope results. vi. the shadow and mass of the central black hole,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.616127Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:66e22264b5b1e5f84d21c8bef5fcc5df638af97be0bb0f060f0576836fc16cb2","observation_id":"35680910-2cef-4baf-987a-adabc2530be3","resolution":{"observed_at":"2026-08-11T18:01:13.616127Z","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":"2026-08-11T18:01:13.622095Z","title":"Schwarzschild black hole lensing,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.622095Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8f68ce28c15993ff676b476964c9cf60fba316671886289feb32246b5c911015","observation_id":"ff252eaf-52ca-4ca7-b2bf-086e959635d8","resolution":{"observed_at":"2026-08-11T18:01:13.622095Z","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":"2026-08-11T18:01:13.629380Z","title":"Theoretical gravitational lensing–beyond the weak-field small-angle approxima- tion,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.629380Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:5122b1f4bf5cecb7c627cf8a9a51831d18c3c69c872eda81a111b6fdc6daadfb","observation_id":"4a419b2b-637b-4805-9ba9-1c0479d21308","resolution":{"observed_at":"2026-08-11T18:01:13.629380Z","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":"2026-08-11T18:01:13.634692Z","title":"Spacetime perspective of schwarzschild lensing,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.634692Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:98eadd9a7fc92f430301525bf6499e882c56d5b05311bc4e485bfd6dcb21e4ed","observation_id":"b8b7c2a5-38ba-4ed0-8fa2-2f569f28e980","resolution":{"observed_at":"2026-08-11T18:01:13.634692Z","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":"2026-08-11T18:01:13.639628Z","title":"Strong field limit of black hole gravitational lensing,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.639628Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:3053c658ff047cf2b0a4a238f891848ecca9b5612aae19955ec782b26af85902","observation_id":"fbed09bd-4cda-446e-abc4-a6d2184b5355","resolution":{"observed_at":"2026-08-11T18:01:13.639628Z","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":"2026-08-11T18:01:16.119765Z","title":"Gravitational lensing by naked singularities,","venue":null,"work_id":"8b41663a-0cb6-40e5-80a7-557908e89bba","year":2002},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.656735Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:14d4c807e475ade096cbfb26c930dfb690715c00ffb8d9e7fba6f242c2327b10","observation_id":"7ef8b9a7-4469-430c-9693-a14babde2b70","resolution":{"observed_at":"2026-08-11T18:01:16.127279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9801174","last_updated":"1998-09-15T14:38:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1998-01-18T13:10:30Z","title":"Role of the scalar field in gravitational lensing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9801174","snapshot_observed_at":"2026-08-11T18:01:13.664727Z","title":"Role of the scalar field in gravitational lensing,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.664727Z"},"links":{"cited_paper":"/paper/astro-ph/9801174","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d4906c0f2ab27d3e94198aaa12afbdd218d8f5a5466fbfb44b984a521f7fb251","observation_id":"a3666b24-bb1c-45f2-9b2c-06083838ae66","resolution":{"observed_at":"2026-08-11T18:01:13.664727Z","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":"2026-08-11T18:01:16.089397Z","title":"Schwarzschild black hole lensing,","venue":null,"work_id":"67b0b5f3-cb52-47a4-9e49-32d9836aef9b","year":2000},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.672583Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:a91625fa6791bb864e8289c21e94e828315d1de3b3d938c12b80fecd866c5671","observation_id":"28fcfad3-211e-4a28-b4d4-b82972aad06c","resolution":{"observed_at":"2026-08-11T18:01:16.100773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:16.059660Z","title":"Strong gravitational lensing of gravitational waves: A review,","venue":null,"work_id":"a6e1ec0b-6db7-475a-b4cb-bd131adc64ee","year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.678714Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8a7230579aea5aa67d12cbb5014a132e3d9cbc8ea2d36ef3128d54af800aa3a9","observation_id":"329a3cb9-bdfd-4848-8578-bb34231f0e10","resolution":{"observed_at":"2026-08-11T18:01:16.069454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:16.036256Z","title":"Shadows and strong gravitational lensing: a brief review,","venue":null,"work_id":"c5951a32-bdad-44b6-b275-9e2c75cff4eb","year":2018},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.684718Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f069cc100fb1c35fb7bbd73e6b470268cddaa6598c6e25bca2bc136f8517d559","observation_id":"78bb1637-45d4-4ba6-8cda-9eecb99922af","resolution":{"observed_at":"2026-08-11T18:01:16.045034Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:16.011690Z","title":"Strong gravitational lensing of explosive transients,","venue":null,"work_id":"bdb66c9d-936b-4d5a-a3bf-599665c6dbb1","year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.692810Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:cc277bf80db3c6fa1c90a7126db8cd4139aea798e5c78ab818a5ec07a3e0fa59","observation_id":"1f489bda-437d-40f9-b568-a6f03cc4a6b0","resolution":{"observed_at":"2026-08-11T18:01:16.021854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.981698Z","title":"The strong gravitational lens finding challenge,","venue":null,"work_id":"fde9e196-b42c-4b40-8880-8b1f13b199bd","year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.698536Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:97b5d409ad5814891d44fcf30dd4bf774c12eef290b7aa86c7a9bcfdf6eefc11","observation_id":"1ae682de-a65f-46ba-abbe-03e359f15770","resolution":{"observed_at":"2026-08-11T18:01:15.990480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.952831Z","title":"Gravitational lensing in presence of plasma: strong lens systems, black hole lensing and shadow,","venue":null,"work_id":"dcaba8ad-452d-4d92-897b-3f5a475baca6","year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.705551Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:a51b6ad2922cc1949e8b0fb069e0ab5f7b89a1771418499f4ec0f986fd5c1f0c","observation_id":"59f82745-a9c9-46a2-ad64-b5a9953ffbe5","resolution":{"observed_at":"2026-08-11T18:01:15.962283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.918808Z","title":"Phase effects from strong gravitational lensing of gravitational waves,","venue":null,"work_id":"803687de-9024-4d94-8e0d-4dbec332d12d","year":2021},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.711264Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:7bd657a62aaffd11fd2087e6ae34b0acceecf7c482d2813885bade45aedffe4a","observation_id":"9731a348-9709-49dc-8355-ba9d71aa3020","resolution":{"observed_at":"2026-08-11T18:01:15.932244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.893862Z","title":"Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors,","venue":null,"work_id":"11970420-85ed-4949-a30c-59c27c0db2fc","year":2022},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.717283Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:3d754dff43776a1b5cb7f2704c821ca90f33e251aae8f25cce9efe81be3fd6e5","observation_id":"1bf57f6b-ce01-4b5b-aeca-75cefdd41f54","resolution":{"observed_at":"2026-08-11T18:01:15.901210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.858638Z","title":"Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem,","venue":null,"work_id":"b78fc783-d184-434b-999a-af78b9d92b85","year":2018},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.723943Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d4dac7aefee3211da1f71eeae278c6bed75a08e57d7dfa4d87755562444e4a16","observation_id":"54965531-d416-4e2d-9e4c-e146abe44d2f","resolution":{"observed_at":"2026-08-11T18:01:15.871558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.826989Z","title":"Shadow cast and Deflection angle of Kerr-Newman- Kasuya spacetime,","venue":null,"work_id":"a2e74244-50a7-4b29-9c1b-1be7fe578c55","year":2018},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.729342Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:643042f7965cbcb615a2768998bb69ece8241d7b6b7051c4b994d1e2e9b1c2aa","observation_id":"31d32d2e-e195-485a-9eb9-3f7094a2325c","resolution":{"observed_at":"2026-08-11T18:01:15.837008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.792236Z","title":"Finite-distance gravitational deflection of massive particles by a Kerr- like black hole in the bumblebee gravity model,","venue":null,"work_id":"52d31d0f-1dd6-46d8-bcfe-91acf03c4536","year":2020},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.736156Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:cfaf9d137faf898f420866bd6068a487d0978fc95a0f618e3dd5c5680dead198","observation_id":"9809fe50-dc51-4bd0-87e8-fa350564d674","resolution":{"observed_at":"2026-08-11T18:01:15.804247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.758454Z","title":"Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes,","venue":null,"work_id":"18f9a20d-a01d-4851-bf92-afd6fa168e35","year":2022},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.743529Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:0d8eac1358f9e2f377341a0ee2e7f5dfbadae48e847188c870ac96e9f6c0820e","observation_id":"13273f40-083c-4b4c-9e53-45f25b040b3c","resolution":{"observed_at":"2026-08-11T18:01:15.768218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.733537Z","title":"Testing dynamical torsion effects on the charged black hole’s shadow, deflection angle and greybody with M87* and Sgr. A* from EHT,","venue":null,"work_id":"c1e4dd11-1465-4c0c-a8e1-da6c65f24519","year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.750996Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d61e991b0b4a17719b882136e80e095836e7bb73257a782c0b9cf2f09b6da501","observation_id":"95e7637c-1648-402b-a291-88d7c4765fb0","resolution":{"observed_at":"2026-08-11T18:01:15.739444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.691670Z","title":"Strong gravitational lensing and shadow constraint from M87* of slowly rotating Kerr-like black hole,","venue":null,"work_id":"b92c7970-442b-4329-9650-6e12b66e31f5","year":2022},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.757524Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:3565da22ed5c8b03061bc0f1c6343c8a299c60da41af57169d968da81bc3bb5a","observation_id":"e8639072-6d03-43e8-8bb9-9f3376a0d435","resolution":{"observed_at":"2026-08-11T18:01:15.699059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.668176Z","title":"Bondi-Hoyle-Lyttleton accretion around the rotating hairy Horndeski black hole,","venue":null,"work_id":"0184aec9-5716-4f39-80b3-0080bb657066","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.762393Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:c56619917aacf4c0034bf2e99c68444196cbe12811918a00ea011efb9e65bde6","observation_id":"8a93b648-dba6-4de5-93b3-6d93e49d8812","resolution":{"observed_at":"2026-08-11T18:01:15.674174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.648696Z","title":"Proposing a physical mechanism to explain various observed sources of QPOs by simulating the dynamics of accretion disks around the black holes,","venue":null,"work_id":"bed3780c-c5d1-41a4-aeb0-53f867b0afff","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.768155Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:6f04486204db9ea7ec8686fa133d22d7e8cfdddf91d534851538ddfaa640f2fb","observation_id":"e32ecf47-976b-4a91-bfec-ff4c8bb54d46","resolution":{"observed_at":"2026-08-11T18:01:15.654388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.628471Z","title":"Perturbing the Stable Accretion Disk in Kerr and 4D Einstein–Gauss–Bonnet Gravities: Comprehensive Analysis of Instabilities and Dynamics,","venue":null,"work_id":"22550cb1-d1ea-424e-bfd8-c2793ea3d757","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.773432Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:bb15cf742d1f6ebb1a88e8a437c1199288611134ec6add7667fe8f905ebca188","observation_id":"51f612ef-d317-4490-b8ba-5e032f09dcbd","resolution":{"observed_at":"2026-08-11T18:01:15.634735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.602031Z","title":"Numerical simulation of the disk dynamics around the black hole: Bondi Hoyle accretion,","venue":null,"work_id":"c6815c23-6689-482c-be01-c4c57b86661f","year":2014},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.778524Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f3d31f9627fee2eb99905ac88cb3a1f508d1827231a888e39aad0c43afcba4bd","observation_id":"8dfb91f2-e97e-4dad-9cf6-4fcd6afd7245","resolution":{"observed_at":"2026-08-11T18:01:15.609642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.577296Z","title":"Exact traversable wormhole solution in bumblebee gravity,","venue":null,"work_id":"5ad20d3a-7758-47e8-bd8e-a8d9782c53fe","year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.784154Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:3a34f264647173bfb5c4e450b8274f887f86361f82a269f276560abe26b127fe","observation_id":"747ebfb0-667e-4032-a3b6-82e4ccb7c7b3","resolution":{"observed_at":"2026-08-11T18:01:15.583721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.555929Z","title":"Can we distinguish between black holes and wormholes by their einstein-ring systems?,","venue":null,"work_id":"ce5edf88-b557-4a48-bd08-5700e645c7c0","year":2012},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.789130Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d08b84d3af786d4443de03600fe88a566536ea2755d98532b590a0ab0b053ebe","observation_id":"2af07f2d-b090-4341-81dd-0a17d66037f3","resolution":{"observed_at":"2026-08-11T18:01:15.563442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.532991Z","title":"The application of weierstrass elliptic functions to schwarzschild null geodesics,","venue":null,"work_id":"91ab6dee-58f6-4f48-b773-ec085e94199f","year":2012},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.794651Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:559e824c4a2958e447a53b19ef4750059edd14186b8a4b755d500173de0e168c","observation_id":"160cab15-2056-4d4d-b8df-6d253296f240","resolution":{"observed_at":"2026-08-11T18:01:15.541896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.511069Z","title":"Strong deflection limit analysis and gravitational lensing of an ellis worm- hole,","venue":null,"work_id":"b870b50a-92a4-4409-8cb8-0a4eaddaab85","year":2016},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.801096Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:eb8a8799bb1ef772dbc5930c98f45ea55d772e284cb6494b60af972fbc69d66a","observation_id":"48422628-195b-4140-9339-68a0b49fe316","resolution":{"observed_at":"2026-08-11T18:01:15.517550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.488426Z","title":"Retrolensing by a wormhole at deflection angles π and 3 π,","venue":null,"work_id":"0f01557b-1df1-433f-9268-deb46a6bb72a","year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.805996Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:583e82114604787fc056fa16feb8c2ee8d65d6ab8314ff866d3f92812fd7fbc5","observation_id":"56cf590d-e2af-4901-8963-8a18eca46373","resolution":{"observed_at":"2026-08-11T18:01:15.493487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.465912Z","title":"Strong gravitational lensing by wormholes,","venue":null,"work_id":"3cd0c6c2-09f7-4fdd-872f-6674e2dc44d9","year":2019},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.812055Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8018e30f95f2eeca7c7e61f6140a2e41ff0be7dae46f17aef619758d01f0b7ca","observation_id":"984e912e-2974-4bac-b0a2-2f9c3b8db337","resolution":{"observed_at":"2026-08-11T18:01:15.473549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.441374Z","title":"Strong gravitational lensing by kerr and kerr-newman black holes,","venue":null,"work_id":"8755932a-1f7d-4f33-87e8-11c1b1a60547","year":2021},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.817525Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:01f6dd6492e717698b5d1b4c20a3724fc5844cb8d0c8039c5088c82159a77d78","observation_id":"b195c37e-3bfc-429c-bc6c-8ce3dca14d7a","resolution":{"observed_at":"2026-08-11T18:01:15.447540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.422706Z","title":"Gravitational time delay effects by kerr and kerr-newman black holes in strong field limits,","venue":null,"work_id":"1665d41f-a5bc-4bb2-8ad0-762324899b5d","year":2021},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.823126Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:d55b88c298c11c569a6d89865cf2b59eb375260183419ef450fcf969f1e4f571","observation_id":"9036d23f-1fbb-4d4e-a23f-e92147df3bb4","resolution":{"observed_at":"2026-08-11T18:01:15.427991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.404024Z","title":"Gravitational lensing by rotating wormholes,","venue":null,"work_id":"ab5f70ce-2116-4bb4-bcfc-71532a1e5b3e","year":2018},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.829455Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:0592da9e6bb253fccc53bbc176ca8024c8e3730f39b442bb453afe76bfbcbe00","observation_id":"96e0939d-6c4e-4618-816e-53934e139c2a","resolution":{"observed_at":"2026-08-11T18:01:15.411310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.382453Z","title":"Analytic kerr black hole lensing for equatorial observers in the strong deflection limit,","venue":null,"work_id":"238d114e-1a51-4f21-9883-abbcb28e99d4","year":2005},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.835963Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:83b3e40a0fa41e3dbe5230a242ae4efb103acc82b56a98244a1735a4e77a910e","observation_id":"1f7c191c-6f49-4f42-9aff-855940a2a54c","resolution":{"observed_at":"2026-08-11T18:01:15.388375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0308023","last_updated":"2003-09-08T23:10:27Z","snapshot_observed_at":"2026-07-07T03:18:10.155739Z","submitted_at":"2003-08-08T03:42:24Z","title":"Strong Field Gravitational Lensing by a Kerr Black Hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0308023","snapshot_observed_at":"2026-08-11T18:01:13.842239Z","title":"Strong field gravitational lensing by a kerr black hole,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.842239Z"},"links":{"cited_paper":"/paper/gr-qc/0308023","citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:125de9a1fb375c11c4f17ff20c065274e76a171ad082da39054e7eaaa190b014","observation_id":"ad3de3d1-a966-48c8-89ef-9b073e9a8267","resolution":{"observed_at":"2026-08-11T18:01:13.842239Z","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":"2026-08-11T18:01:15.360017Z","title":"Quasiequatorial gravitational lensing by spinning black holes in the strong field limit,","venue":null,"work_id":"e31f0fc9-07d2-49d3-b45c-3388bdaf1928","year":2003},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.851140Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:269c561a4bc88ba2868f63d0565eed89cabf5029a0999799692398f3d3777356","observation_id":"23442170-a3b7-4eda-bb32-5860f8034c96","resolution":{"observed_at":"2026-08-11T18:01:15.366286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.339612Z","title":"Lensing by kerr black holes. ii: Analytical study of quasi-equatorial lensing observables,","venue":null,"work_id":"549e1c2d-aea7-4c11-bc85-f1f0b0ec0689","year":2011},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.859481Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:cc60cf5a04f75f18af6cea8dd01327ba536c5ef9b4fe9edc06fea5c1e5a38194","observation_id":"10ae0ea9-6683-4807-bba0-b23add35e018","resolution":{"observed_at":"2026-08-11T18:01:15.346525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.316764Z","title":"Kerr black hole lensing for generic observers in the strong deflection limit,","venue":null,"work_id":"907539fc-f6db-4d10-a8a9-721acadbced1","year":2006},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.867656Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:ff928612982a57b9a314fd7daa90f0ec10eee225e3729e693c4f0d347bdf43b1","observation_id":"8aaa748d-0047-495c-87ee-5d6a83415d7c","resolution":{"observed_at":"2026-08-11T18:01:15.322674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.299829Z","title":"Strong deflection limit of black hole gravitational lensing with arbitrary source distances,","venue":null,"work_id":"196e1434-f169-454b-8906-a1b7be71209f","year":2007},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.873529Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:f40aa2c4adea1c26910679cc6bbf992a989276f57dc878df15605ca80119a4e4","observation_id":"b40cff6e-becb-4914-a89b-3b205af16bdc","resolution":{"observed_at":"2026-08-11T18:01:15.305851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.282463Z","title":"Strong gravitational lensing—a probe for extra dimensions and kalb-ramond field,","venue":null,"work_id":"f111ddf5-a207-4508-b233-b16425a49ab6","year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.879491Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:ad0afa030a53fbd1ee78382c267b74495b2922a3463a87ca6a1a380fb7c500a3","observation_id":"ad6ca825-3d0a-4b19-b5c4-57cbccb7adea","resolution":{"observed_at":"2026-08-11T18:01:15.287988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.262797Z","title":"Gravitational lensing by scalar-tensor wormholes and the energy conditions,","venue":null,"work_id":"74dd954a-a2a0-4939-8ee9-77686381f8d0","year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.884735Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:419091df76cec716a55fd3a3e483f4427cb5421e8e451a34192dc9ee9f889ffe","observation_id":"195983ef-a5cf-47e5-9796-180b668c8d3e","resolution":{"observed_at":"2026-08-11T18:01:15.268757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:01:13.891063Z","title":"Gravitational lensing by a lorentz-violating black hole,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.891063Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8370c8d6658c6ea267c5449315d4fcfbf48122ae4cc038e7c4500c27c0a81232","observation_id":"bab85f45-b421-47aa-a984-4d089fad0ea3","resolution":{"observed_at":"2026-08-11T18:01:13.891063Z","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":"2026-08-11T18:01:15.227891Z","title":"Retrolensing by a charged black hole,","venue":null,"work_id":"c1cd2a1c-ff3a-4708-9723-61f0953f5c45","year":2017},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.896339Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:8eac2c15a8c8ca732b678fd338d4d73e158383d1adb7558534e8a8ddf70915b2","observation_id":"74e20cec-7dea-4065-945d-a68373b8564c","resolution":{"observed_at":"2026-08-11T18:01:15.243070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.205103Z","title":"Strong field limit analysis of gravitational retrolensing,","venue":null,"work_id":"b46fcf97-dd36-416b-a5dc-8df752db8237","year":2004},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.901833Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:ee0cc8863b56950a9f576a237445ed7b80de6293f519484e5090e9412ad62cb9","observation_id":"b3207b58-943d-41b0-b510-d30f31c6648c","resolution":{"observed_at":"2026-08-11T18:01:15.211452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.185076Z","title":"Reissner-nordstr¨ om black hole lensing,","venue":null,"work_id":"2cafb424-4a2e-4f7a-8c9d-ccc1eea82aa7","year":2002},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.907189Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:02481f32aa5282fcaf2b7a17ec5ea8b938c8635bcadc2c381163823412b81962","observation_id":"cb2854cb-861a-4f45-b585-9135272cadbd","resolution":{"observed_at":"2026-08-11T18:01:15.191211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.161740Z","title":"Strong deflection gravitational lensing by the marginally unstable photon spheres of a wormhole,","venue":null,"work_id":"75a7578d-20fa-495e-a74a-8499040298c2","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.912823Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:49cde22f0cbb3cba82c5e6846d632d6589fb73eed92f3ec59cecec57c7e4d9f7","observation_id":"4c59c10e-f69c-4773-a831-7fd330ad31f8","resolution":{"observed_at":"2026-08-11T18:01:15.168431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.143316Z","title":"Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere,","venue":null,"work_id":"f3df80c0-3df7-49f9-b841-637cbab75c10","year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.919070Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:b8c777060f85d5ab8c01e07f835f907f9861ab5cfe34cdf59329bc4960c76850","observation_id":"67f23ce5-2992-412d-a776-4f2fb36ecefe","resolution":{"observed_at":"2026-08-11T18:01:15.149061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.116999Z","title":"Conservation of distortion of gravitationally lensed images,","venue":null,"work_id":"ae621769-ddcf-44e5-bb27-195963926f5e","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.926784Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:1bf87835562d06b6ba330dfca207f1ff1683dee7d32b35c62fab6fe8cc09d448","observation_id":"510a08f1-4cae-4f2d-80e2-4f668700569b","resolution":{"observed_at":"2026-08-11T18:01:15.123171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.095313Z","title":"Distortions of images of schwarzschild lensing,","venue":null,"work_id":"2cafe7f8-9612-4aec-a44d-ecba811a06d0","year":2022},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.934232Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:fd65e0f86c2730bcd6e19b11404e3a759978b5cdf97fac95800d1337a0f8a867","observation_id":"33b96aa7-5253-473d-9654-24b8b9250f84","resolution":{"observed_at":"2026-08-11T18:01:15.102867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:15.075234Z","title":"G¨ odel-type universes in bumblebee gravity,","venue":null,"work_id":"44f65960-3a43-4be1-9ded-5155ae831d24","year":2020},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.941422Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:53efaefb973e3e043d9fe035380ec4de66db3c03e905437a96628c7abb7bf8b3","observation_id":"5d4f11ce-d936-464e-afa0-3b826a5db1a7","resolution":{"observed_at":"2026-08-11T18:01:15.081524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T18:01:13.947507Z","title":"Gravi- tational signatures of a non–commutative stable black hole,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.947507Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:316bdacee92f8f13c29be3fb1aabc51443596292bc5a3735ca5b1c3e0100acd3","observation_id":"b676dd95-4155-4ae8-bc7a-5e34f12de034","resolution":{"observed_at":"2026-08-11T18:01:13.947507Z","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":"2026-08-11T18:01:15.029577Z","title":"Quantum gravity effects on particle creation and evaporation in a non-commutative black hole via mass deformation,","venue":null,"work_id":"3cd99d8b-faa3-4eae-879e-6486cddc607a","year":2024},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.954670Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:0690f62f76cf42dda500d9abe07dc027ccd548da85b6c7a8eca137bed3148f4a","observation_id":"f9ee44e8-d541-4051-97e7-723b027ba9fe","resolution":{"observed_at":"2026-08-11T18:01:15.036086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:14.999438Z","title":"A code to compute the emission of thin accretion disks in non-Kerr space-times and test the nature of black hole candidates,","venue":null,"work_id":"712b98ad-4b1b-4d97-bd7f-70b7bb057c1e","year":2012},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.960424Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:4e50d428854715b24d44c69d4964d72653add2133766a3dd6a7f60ee5f41b984","observation_id":"212c3879-2e94-4f3e-a3d5-9137c5f39444","resolution":{"observed_at":"2026-08-11T18:01:15.006633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:14.972876Z","title":"Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A,","venue":null,"work_id":"443a13f2-8e7c-47f2-85a1-820631426908","year":2023},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":102,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.966817Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:140190420de780ac45b6ee16932159392de069805630ce6ecac1ae31b15e387e","observation_id":"817cef58-9fef-4b13-a7f7-12367b8c66a1","resolution":{"observed_at":"2026-08-11T18:01:14.981804Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:14.951103Z","title":"Applications of the Gauss-Bonnet theorem to gravita- tional lensing,","venue":null,"work_id":"17310a21-3dd3-4d98-8da5-c747fd9d40d6","year":2008},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":103,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.973274Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:25a827d09fa83ed2c7acb65575d8e912d08a635a432173449d3e9adad92a88df","observation_id":"83909d33-4137-4a75-b5e6-e8b18afa0f60","resolution":{"observed_at":"2026-08-11T18:01:14.957153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T18:01:14.931980Z","title":null,"venue":null,"work_id":"b9284364-7658-434d-94c2-c1940c3da13f","year":2025},"citing_paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole","version":2},"reference_index":104,"source":"pdf_text","source_observed_at":"2026-08-11T18:01:13.979039Z"},"links":{"citing_paper":"/paper/2412.08369"},"observation_digest":"sha256:fedd45140f6fabbd5bc75a2747843b8621f137a56eb06e78a5a630b6a324cfef","observation_id":"65b87c86-35b1-4d3c-a67f-28271f50ea9f","resolution":{"observed_at":"2026-08-11T18:01:14.938565Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.08369","last_updated":"2025-05-15T11:15:27Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-11T17:50:24.315124Z","submitted_at":"2024-12-11T13:26:50Z","title":"Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":53,"verified_exact":0,"verified_fuzzy":47},"total_outbound_references":124},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 100 of 124 outbound references and 2 inbound Pith citation observations for arXiv:2412.08369."}