{"as_of":"2026-08-16T03:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:10c54b9920e00ffec3850dc54627a3ba46cfd4b834aa64d23f54f4927c8e4363","coverage":[{"denominator":66,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":66,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T03:00:47.325773Z","state":"measured"},{"denominator":66,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":66,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.27707/citation-record","integrity":"/paper/2607.27707/integrity","json":"/paper/2607.27707/citation-record.json","paper":"/paper/2607.27707"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T03:00:47.138656Z","title":"fixeda”, “fixedJ","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.138656Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:af0ed2862d7dad44b685b3abfee559f83cb702c638e34a46023ac9a54d3e0b56","observation_id":"7372b754-9a24-4a29-b716-acdcc8862ef6","resolution":{"observed_at":"2026-08-01T03:00:47.138656Z","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":"2026-08-01T03:00:47.143750Z","title":"String theory and noncommutative geometry,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.143750Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d2f944685852ab9733885faf828a051ac933dd4a05e6342e70ee74cadf1c9ec0","observation_id":"74d12112-01f4-4a6e-83fb-17f02bbc8eaa","resolution":{"observed_at":"2026-08-01T03:00:47.143750Z","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":"2026-08-01T03:00:47.146807Z","title":"Quantum field theory on noncommutative spaces,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.146807Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:da534b355fdad8bf09d659d3ef45140d8007a4ab79f8648a2a141164f0e86ae6","observation_id":"a2d39de2-78e7-4cda-a740-cf4927e0a0ba","resolution":{"observed_at":"2026-08-01T03:00:47.146807Z","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":"2026-08-01T03:00:47.150053Z","title":"Noncommutative field theory,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.150053Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:83c3bfe0f6926fa45a28e92f5a20c2ca6e363fbe73ed6832aba8756eeba3cebb","observation_id":"25842552-5336-463a-92cc-5f1c9107d6e4","resolution":{"observed_at":"2026-08-01T03:00:47.150053Z","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":"2026-08-01T03:00:47.153066Z","title":"Noncommutative black holes, the final appeal to quantum gravity: a review,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.153066Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:0ae24fd1596469dbc681cf026cd378e5bda1c508a434f9ecb7747865160d29e3","observation_id":"81183203-8b8d-4587-9e51-f70db9ddace1","resolution":{"observed_at":"2026-08-01T03:00:47.153066Z","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":"2026-08-01T03:00:47.156248Z","title":"Feynman path integral on the noncommutative plane,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.156248Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:98cca8e3e68a3b451a7b6ca65970fd83f84858714ad01439f4210b23ae52d1bb","observation_id":"867c518c-0348-41e5-a1e9-a5b807fcf259","resolution":{"observed_at":"2026-08-01T03:00:47.156248Z","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":"2026-08-01T03:00:47.159938Z","title":"Thermodynamics and evaporation of the noncommutative black hole,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.159938Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:5f7dc13b621cb70991bf05d42a155b083382ed9404a83ea5fb9e75fa9339ddbf","observation_id":"24a25156-5447-4607-bc0b-42847fcbf8a0","resolution":{"observed_at":"2026-08-01T03:00:47.159938Z","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":"2026-08-01T03:00:47.162955Z","title":"Charged rotating noncommutative black holes,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.162955Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:640fd2e39ce572ced678109f543207198dc34cba3b7177d852f5d9bd74af72e7","observation_id":"71f167af-ae43-4a30-a1f6-823d994eb9a4","resolution":{"observed_at":"2026-08-01T03:00:47.162955Z","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":"2026-08-01T03:00:47.166027Z","title":"Noncommutative black hole thermodynamics,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.166027Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:80adc5a5744144e22a1147ab6fec62fe4a416d211f320ffb12ccf848def406e9","observation_id":"7ab754fe-48b4-4fb0-a8f2-10f5aafd2f1c","resolution":{"observed_at":"2026-08-01T03:00:47.166027Z","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":"2026-08-01T03:00:47.168800Z","title":"Nozari and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.168800Z"},"links":{"cited_paper":"/paper/gr-qc/0608077","citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:ecb7755e4b0fe514ebb8a131bee68e8f7f3ff8e404b31d204087711017592e5d","observation_id":"1bda3b35-3f0b-4927-99cc-83cbdc1d8ffe","resolution":{"observed_at":"2026-08-01T03:00:47.168800Z","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":"2026-08-01T03:00:47.171985Z","title":"Thermodynamics of a Bardeen black hole in noncommutative space,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.171985Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:e9bb7b0aa1655b197758553f35dcf705826cd33ffb17936a5261b4eded42c7ff","observation_id":"66b7e4ca-e154-46bd-a296-b56a7e128ef1","resolution":{"observed_at":"2026-08-01T03:00:47.171985Z","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":"2026-08-01T03:00:47.175168Z","title":"Non-commutativity in Hayward spacetime,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.175168Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:35e7e6e5fbe93dc833e6c3bf36a4a1521eaa00931e74e5e3a82173e988531d04","observation_id":"9d342553-1e15-48bb-8454-061d7afba38f","resolution":{"observed_at":"2026-08-01T03:00:47.175168Z","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":"2026-08-01T03:00:47.178071Z","title":"A non-commutative Kalb-Ramond black hole,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.178071Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:ffa1f8f6b0c0f2a5efe26126bc9f470f52af08ef3fa4cd62741e805a302bb98d","observation_id":"4d4d6201-2189-4a78-b9f1-9ed8a213226b","resolution":{"observed_at":"2026-08-01T03:00:47.178071Z","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":"2026-08-01T03:00:47.180764Z","title":"Quasinormal modes in noncommutative Schwarzschild black holes,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.180764Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:04e6576b7e0a8bb78a2bccc5b8541a1a88efdf38b5e232ae63025253be8f4050","observation_id":"78e1a9bc-d0cb-478e-bdd5-2b6d3835ed1d","resolution":{"observed_at":"2026-08-01T03:00:47.180764Z","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":"2026-08-01T03:00:47.183531Z","title":"Absorption, scattering and shadow by a noncommutative black hole with global monopole,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.183531Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:67ebdd69f0783bc58a97d66c3467e6323c1df570ed6088ba509e9aed72e2326b","observation_id":"e4caa11f-7691-4f23-a630-b3d190733ba0","resolution":{"observed_at":"2026-08-01T03:00:47.183531Z","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":"2026-08-01T03:00:47.186407Z","title":"Absorption and scattering of a noncommutative black hole,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.186407Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:76d14c2e8348085cf3a4168d9efe36676b6375ddf3fdb26eb3f8ad79831d0d56","observation_id":"4138ee62-923f-40f8-a852-d6f8b2ec5273","resolution":{"observed_at":"2026-08-01T03:00:47.186407Z","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":"2026-08-01T03:00:47.189156Z","title":"Exploring non-commutativity as a perturbation in the Schwarzschild black hole: quasinormal modes, scattering, and shadows,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.189156Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:e441ac722a68a9000153dd0688f07d7245236ca6a996741ac0934dd7b2ce31f4","observation_id":"fcdc5484-aa53-4991-abe3-d2f446a8ad30","resolution":{"observed_at":"2026-08-01T03:00:47.189156Z","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":"2026-08-01T03:00:47.191715Z","title":"Corrections to Schwarzschild solution in noncommutative gauge theory of gravity,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.191715Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:6b2f2bfbe2d1376400fd19240b9303fc405a4034485dff57dd6659ce8e9bacea","observation_id":"d1ddd346-6f94-4e3a-8e2a-9a710e6b7d2e","resolution":{"observed_at":"2026-08-01T03:00:47.191715Z","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":"2026-08-01T03:00:47.194514Z","title":"Gravitational field of a spinning mass as an example of algebraically special metrics,","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.194514Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:24d77a9971241f88fcaf61ebf65de9125a67e2929da6471f5f2c60bbed97ff98","observation_id":"c406a45d-d1d9-4dc4-af3f-671229b5f42b","resolution":{"observed_at":"2026-08-01T03:00:47.194514Z","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":"2026-08-01T03:00:47.197412Z","title":"Global structure of the Kerr family of gravitational fields,","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.197412Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:b9eef25ef21923e1a18f6d7af6f5b0bd39ccce4f5a1c5a96955d2bb1b2414572","observation_id":"167e0ec2-a69c-4a3f-81f9-a3d3711e371b","resolution":{"observed_at":"2026-08-01T03:00:47.197412Z","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":"2026-08-01T03:00:47.200224Z","title":"Chandrasekhar,The Mathematical Theory of Black Holes, Oxford University Press, Oxford (1983)","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.200224Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d12618e8b15992aab054bbdd1bc21df33bf45535ac66ac021c09c61342f7685b","observation_id":"a24f1b52-7f67-4b8a-89ff-e60f5ed5ca68","resolution":{"observed_at":"2026-08-01T03:00:47.200224Z","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":"2026-08-01T03:00:47.202897Z","title":"Timelike and null geodesics in the Kerr metric,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.202897Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:c62704a42036c838e21393f79dc8a20dbf34abc14359faafbd73e1ca7c30e203","observation_id":"b9b405a5-b5e4-47d6-b13a-5c62b13ecee6","resolution":{"observed_at":"2026-08-01T03:00:47.202897Z","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":"2026-08-01T03:00:47.205542Z","title":"Spherical photon orbits around a Kerr black hole,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.205542Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:310ce38562e59d3b42210789bef6b81811e8be6fddc0abf791924f965a50cefc","observation_id":"d888edcc-8cba-435f-b879-49b04ef1d183","resolution":{"observed_at":"2026-08-01T03:00:47.205542Z","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":"2026-08-01T03:00:47.208476Z","title":"Rotating black holes: Locally nonrotating frames, energy extraction, and scalar synchrotron radiation,","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.208476Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:bea994e8dea874c4aae8a8cbbbc38e77cfbf5b0a69095ac98be3d18fd07f5182","observation_id":"cfc59ce8-6183-4ec6-a485-7da6feb89dc8","resolution":{"observed_at":"2026-08-01T03:00:47.208476Z","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":"2026-08-01T03:00:47.211163Z","title":"Equatorial circular motion in Kerr spacetime,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.211163Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:29c4b23c55841f88fef9508698258fba1d8fc7a4208c0b93416a50477eaa0426","observation_id":"300b1b35-3f2c-4a93-9d7e-f783fe66fa73","resolution":{"observed_at":"2026-08-01T03:00:47.211163Z","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":"2026-08-01T03:00:47.213898Z","title":"Astrophysics of black holes,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.213898Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:641378b3697b023860d0c533366a89d2753fe298b94ccbfdb03a778efc6d0709","observation_id":"7e33c0fb-9e24-48dd-a188-e82fe0002542","resolution":{"observed_at":"2026-08-01T03:00:47.213898Z","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":"2026-08-01T03:00:47.216598Z","title":"Disk-accretion onto a black hole. I. Time-averaged structure of accretion disk,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.216598Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:38dc0165c1576aad269ba9ac408c630b94079789eefce08f6f4e262dca92c46e","observation_id":"5168b796-4286-4c06-bcce-6f190e5d7079","resolution":{"observed_at":"2026-08-01T03:00:47.216598Z","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":"2026-08-01T03:00:47.219612Z","title":"Disk-accretion onto a black hole. II. Evolution of the hole,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.219612Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:f6bc77cee2edc9ff12380ccc0277e432df9eb5344ee61db05e7d0a8582497f0e","observation_id":"fe52d673-1c68-4ffa-ac37-d1b8edaf80c6","resolution":{"observed_at":"2026-08-01T03:00:47.219612Z","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":"2026-08-01T03:00:47.222646Z","title":"The effects of redshifts and focusing on the spectrum of an accretion disk around a Kerr black hole,","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.222646Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:dc1f139b51c438d774bfe991528e57586e06ec7ca96e99e30deca0a51fcdfc37","observation_id":"cbf58fe4-face-47c7-9672-d28f44ac939c","resolution":{"observed_at":"2026-08-01T03:00:47.222646Z","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":"2026-08-01T03:00:47.225723Z","title":"Equatorial circular orbits in the Kerr–de Sitter spacetimes,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.225723Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:58d42188d532c01da617be5d11dfd32ec4738acb788209979b88f76abc81b8be","observation_id":"555eb5b9-7152-4763-ad62-5f478c3f4d22","resolution":{"observed_at":"2026-08-01T03:00:47.225723Z","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":"2026-08-01T03:00:47.228456Z","title":"A metric for rapidly spinning black holes suitable for strong-field tests of the no-hair theorem,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.228456Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:415bf3ef4f3df1791246183d5492120f696cd593dec2e3e0ffea31a34b484957","observation_id":"214ccb9b-4216-48a7-8bb0-a5f2c42f5f05","resolution":{"observed_at":"2026-08-01T03:00:47.228456Z","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":"2026-08-01T03:00:47.231029Z","title":"Testing black hole candidates with electromagnetic radiation,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.231029Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:f094b2a318b847f36b30aa44f15df81cff913a43a314b81a72348e200e83785a","observation_id":"bd7547c0-84b0-420e-b7c1-5a144c695d0b","resolution":{"observed_at":"2026-08-01T03:00:47.231029Z","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":"2026-08-01T03:00:47.233547Z","title":"Circular geodesics of Bardeen and Ay ´on-Beato–Garc´ıa regular black-hole and no-horizon spacetimes,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.233547Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:1abcb1e68fcb1d9097a876bda336c4940bedb767913cdf41eedccda0a4b3760f","observation_id":"2c49c017-2281-4496-bf19-4e9c19a3e692","resolution":{"observed_at":"2026-08-01T03:00:47.233547Z","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":"2026-08-01T03:00:47.236046Z","title":"Noncommutative geometry inspired Schwarzschild black hole,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.236046Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d4ac303a3a9393f87b0e38e1d6ad7cb3f0e6584325ec1be868f99d90c17293c5","observation_id":"f97ba9c0-9fc1-4c9a-803b-bfb4b443b62b","resolution":{"observed_at":"2026-08-01T03:00:47.236046Z","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":"2026-08-01T03:00:47.238671Z","title":"Noncommutative geometry inspired charged black holes,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.238671Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:3c0e01ae00ca9ed5c6041cf560024db76d46e589989fc6f1b51f889438cd61d0","observation_id":"4680ce98-bba0-46ac-8a67-8ede55c2c86c","resolution":{"observed_at":"2026-08-01T03:00:47.238671Z","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":"2026-08-01T03:00:47.241441Z","title":"Noncommutative geometry inspired dirty black holes,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.241441Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:45a0828cd5b66d4aeeaccd42fae0124c76c8e7c478c13416b9801fadebc9e3e7","observation_id":"4cd34a72-4ef1-4b32-8334-b0de51131686","resolution":{"observed_at":"2026-08-01T03:00:47.241441Z","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":"2026-08-01T03:00:47.244112Z","title":"‘Kerrr’ black hole: The Lord of the String,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.244112Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:0a6c955805d8c4735c9ef462b78609c28bd12df2cd5b9579c03d82a7bf1766f7","observation_id":"e2b9de76-150c-48ad-ba53-f5fee9d984c6","resolution":{"observed_at":"2026-08-01T03:00:47.244112Z","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":"2026-08-01T03:00:47.246837Z","title":"Charged rotating noncommutative black holes,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.246837Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:b99cdebb3020739f9b750a8dc65c9244a611054aa4cfcacedb5f2a1ca4d3ef50","observation_id":"483ac2cb-df5c-448d-9ff4-abe12bfae385","resolution":{"observed_at":"2026-08-01T03:00:47.246837Z","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":"2026-08-01T03:00:47.249658Z","title":"Shadow of noncommutative geometry inspired black hole,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.249658Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:66fbe2da3bbc3b1b33c702efe92606b2235ed8349f8516e9df5d6242a0e6be21","observation_id":"01ab9372-ca3e-4f67-9878-c1aee02c5c21","resolution":{"observed_at":"2026-08-01T03:00:47.249658Z","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":"2026-08-01T03:00:47.252351Z","title":"Accretion onto a noncommutative geometry inspired black hole,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.252351Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:055e0b1c365909601782308682ae08c4efe2ea2ad31cfeb1a89c46ea8ba8a10b","observation_id":"a120712b-a516-48b8-bd92-13421554a0dd","resolution":{"observed_at":"2026-08-01T03:00:47.252351Z","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":"2026-08-01T03:00:47.255007Z","title":"Absorption and scattering of a noncommutative black hole,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.255007Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:75f0b298ba4fdc8aaa3fc3083f635af48a25aa673752a8b6da89ed01ee67d60e","observation_id":"a428edf6-c654-479c-99be-8b17fb257730","resolution":{"observed_at":"2026-08-01T03:00:47.255007Z","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":"2026-08-01T03:00:47.257753Z","title":"A., et al","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.257753Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d1f16e08a7927682ae1b3a6c2db339af4cb1bec94c5909603be94dafe29f0ba2","observation_id":"737716a1-a6af-4239-a1c2-55abfb8e2812","resolution":{"observed_at":"2026-08-01T03:00:47.257753Z","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":"2026-08-01T03:00:47.260396Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.260396Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:e50b338203a029968d64ed9833ed9615f2a7a737ec9ecde715f178df4c4dbaad","observation_id":"00a8e1a5-bea4-4227-83a1-6acdc320a17a","resolution":{"observed_at":"2026-08-01T03:00:47.260396Z","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":"2026-08-01T03:00:47.263248Z","title":"Capozziello, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.263248Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:c1cacf05f561876ac4e284b3fa701c793f423f3d76dbe01c0fa332bd9d4866b5","observation_id":"849f04ca-cb3c-45c0-8d41-7de8042ac2e8","resolution":{"observed_at":"2026-08-01T03:00:47.263248Z","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":"2026-08-01T03:00:47.265962Z","title":"Note on the Kerr spinning-particle metric,","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.265962Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:a7c8f71f68e18c9bce091174136de90d59d4efc40a12aa72c9b78bf667afd1b7","observation_id":"eb2cb2bc-014b-4219-aaa6-ea6b537b5754","resolution":{"observed_at":"2026-08-01T03:00:47.265962Z","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":"2026-08-01T03:00:47.268837Z","title":"Metric of a rotating, charged mass,","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.268837Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:7d9cd1b836dfd26b51c5b975cd7544990d76ca6a0da41415a6cba4144560ef78","observation_id":"b7caf7c3-77b5-405f-b10b-68530ba93709","resolution":{"observed_at":"2026-08-01T03:00:47.268837Z","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":"2026-08-01T03:00:47.271865Z","title":"Uniqueness of the Newman–Janis algorithm in generating the Kerr–Newman metric,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.271865Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:efe22bcee80c2171e5df578259f053da6b201b781bdf631147ac98392622fd7e","observation_id":"d8b453b8-f7f2-431f-8848-32fe2933b391","resolution":{"observed_at":"2026-08-01T03:00:47.271865Z","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":"2026-08-01T03:00:47.274631Z","title":"Rotating regular black holes,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.274631Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:da5307b017c3857a38d31c5c359b200bf6b3a486f24090c0f29e0370a8b61ff5","observation_id":"e8ec58d9-42ed-480a-a2c9-694d961e016b","resolution":{"observed_at":"2026-08-01T03:00:47.274631Z","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":"2026-08-01T03:00:47.277645Z","title":"Generating rotating regular black hole solutions without complexification,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.277645Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:8a08e197e9777cd7d8cdb7ef8f377d5c1630ad77740136dda901f330cebe5bac","observation_id":"a7564746-5dba-40f1-9489-4c0c8fa5d510","resolution":{"observed_at":"2026-08-01T03:00:47.277645Z","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":"2026-08-01T03:00:47.280291Z","title":"From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.280291Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d072463e43438e1dd624e9f3abc5b144eac5c66bf0f4def0e6539f48d7330b61","observation_id":"6f4375ea-f961-42e3-9192-7138438d912f","resolution":{"observed_at":"2026-08-01T03:00:47.280291Z","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":"10.3390/universe3010019","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Janis–Newman algorithm: Generating rotating and NUT charged black holes,","venue":"Universe","work_id":"81627da0-214f-4926-9bf1-9ee02fff1cd2","year":2017},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.283456Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:3f15ea66c7d2d19531df4a93b857bd1acba4afe66fa6dd82aedf53a343381483","observation_id":"1b3332f7-8792-4247-af84-5c0724e2bf34","resolution":{"observed_at":"2026-08-01T03:08:41.109879Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-01T03:00:47.286738Z","title":"Black hole shadow in a general rotating spacetime obtained through the Newman–Janis algorithm,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.286738Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:128f2cdf6ffe7a50bdb407ce573370c6114023c6204f7a8c46a7d929d9802aa3","observation_id":"730e9b99-dad4-4606-834c-b7851f6a90e6","resolution":{"observed_at":"2026-08-01T03:00:47.286738Z","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":"10.1140/epjc/s10052-020-08572-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Spinning black holes with a separable Hamilton–Jacobi equation from a modified Newman–Janis algorithm,","venue":"The European Physical Journal C","work_id":"03f812d5-4f08-461f-9c88-39d8a14c9313","year":2020},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.289623Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:eefae1111ce3992732b042271d20f00d96539ca0d7c349c619d005617f4ac64c","observation_id":"7aadfacb-7681-49ba-b65e-852f77d99cdb","resolution":{"observed_at":"2026-08-01T03:08:40.848015Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.88.104020","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Applicability of the Newman–Janis algorithm to black hole solutions of modified gravity theories,","venue":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology","work_id":"2841d276-4ece-451a-abc6-1f8368178017","year":2013},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.292291Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:cc760c864ea4a0af93b8bdb446e5055a388f81df5f5aa38e16000e558b1ee31e","observation_id":"6f318621-e9c4-4953-9749-74061bd6abf6","resolution":{"observed_at":"2026-08-01T03:08:40.575571Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-01T03:00:47.295013Z","title":"Calculating black hole shadows: review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.295013Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:5be8f3de5af139c325c9d7dd4285fcc954444e76bf563459a343209ecae10a50","observation_id":"7de17a22-3261-449f-9a84-fca5078c4b64","resolution":{"observed_at":"2026-08-01T03:00:47.295013Z","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":"2026-08-01T03:00:47.297656Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.297656Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:37f6e1490b7ca9d787b2bee80efa1ac546fe41b59316f53635101fa986da7518","observation_id":"81d0c993-6a10-498d-9c94-77bf9df1137f","resolution":{"observed_at":"2026-08-01T03:00:47.297656Z","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":"2026-08-01T03:00:47.300291Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.300291Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:65ce88a8ec5813ae04fa2dde134f8f6e85ec11619c38c389a9b6534f22f77f36","observation_id":"aea3c413-f358-4128-bf54-a5e4b19e074e","resolution":{"observed_at":"2026-08-01T03:00:47.300291Z","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":"2026-08-01T03:00:47.302769Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.302769Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:eea26fe7804712381da1f95e5612236c9547603f524f5860b6aa9fd32a6d6665","observation_id":"6868b8cb-d04e-4da0-9385-44531736ec8a","resolution":{"observed_at":"2026-08-01T03:00:47.302769Z","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":"2026-08-01T03:00:47.305341Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.305341Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:b59385b72f46ad3a9bd2f73930c7cb0b4a749090fb0f85632229659c4ca1ea43","observation_id":"90a0b566-a91d-4057-923f-af41eda02064","resolution":{"observed_at":"2026-08-01T03:00:47.305341Z","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":"2026-08-01T03:00:47.308254Z","title":"Hassanabadi, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.308254Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:d5f68b41fceccac95de5714e00053b7a347aeee4955b4a1b766862b2295e0fb2","observation_id":"777e4b65-85bb-4b96-9214-b686c9ad6688","resolution":{"observed_at":"2026-08-01T03:00:47.308254Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.20239","last_updated":"2026-05-17T16:11:27Z","snapshot_observed_at":"2026-08-14T16:05:25.728639Z","submitted_at":"2026-05-17T16:11:27Z","title":"Rotating Black Holes Surrounded by Massive Vector Fields in Kaluza Klein Gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.20239","snapshot_observed_at":"2026-08-01T03:00:47.311287Z","title":"Hosseinifar, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.311287Z"},"links":{"cited_paper":"/paper/2605.20239","citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:23c5acf9cf7e247e5d1d84fc080d902f8445d013280931203b3b9bb699ac537d","observation_id":"56d4ea5b-edb3-4eff-a3bf-e9e1638b6ed3","resolution":{"observed_at":"2026-08-01T03:00:47.311287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.11979","last_updated":"2026-07-13T07:24:16Z","snapshot_observed_at":"2026-08-15T17:55:11.808134Z","submitted_at":"2026-07-13T07:24:16Z","title":"Optical and thermodynamic properties of Kerr-Bertotti-Robinson black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.11979","snapshot_observed_at":"2026-08-01T03:00:47.314418Z","title":"Hassanabadi, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.314418Z"},"links":{"cited_paper":"/paper/2607.11979","citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:59ed4237426c81438b03cc6332c34dea515004e0505473b6d315e8aab7648f00","observation_id":"ac2be917-0365-417e-b7b6-db1cf1b5a802","resolution":{"observed_at":"2026-08-01T03:00:47.314418Z","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":"2026-08-01T03:00:47.317492Z","title":"Kerr black hole parameters in terms of the redshift/blueshift of photons emitted by geodesic particles,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.317492Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:8b3355b951c73f2c54cab71a68649ca07275eb4499c0c49a1928ee7a387d6eea","observation_id":"175bdce5-f42d-41a3-98b5-b61598ad57c6","resolution":{"observed_at":"2026-08-01T03:00:47.317492Z","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":"2026-08-01T03:00:47.320213Z","title":"Thermodynamics of black holes,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.320213Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:893a4a08c445da8d63c8af1fd48e4a31a79613c1cb9f72b7938d1abd6f444690","observation_id":"d05f6889-1beb-42d3-8060-43d86cb7cf9a","resolution":{"observed_at":"2026-08-01T03:00:47.320213Z","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":"2026-08-01T03:00:47.323010Z","title":"Noncommutative black hole thermodynamics,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.323010Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:68c107daab5c54346460a275b281056602fd4eee75a5ee340b60906d97157e1a","observation_id":"1874c080-8848-4db9-a185-6c16891d1d5c","resolution":{"observed_at":"2026-08-01T03:00:47.323010Z","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":"2026-08-01T03:00:47.325773Z","title":"Towards noncommutative quantum black holes,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-01T03:00:47.325773Z"},"links":{"citing_paper":"/paper/2607.27707"},"observation_digest":"sha256:61db391be430631d6ac4d416b76b84422f4c23e75e30de842dfe3ae4649bd40a","observation_id":"801597c2-e77e-4719-b962-a999c8654051","resolution":{"observed_at":"2026-08-01T03:00:47.325773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.27707","last_updated":"2026-07-30T05:42:33Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-08T10:31:58.855211Z","submitted_at":"2026-07-30T05:42:33Z","title":"Constrained thermodynamics and geodesic observables of an effective non-commutative Kerr-like black hole"},"reference_resolution":{"displayed":66,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":63,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":66},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.27707."}