{"as_of":"2026-08-13T08:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78ba51f6e8571926311198ab73da04436bb354ba814fcfc08e9cc581465a0457","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":27,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T18:26:20.700632Z","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":"2026-07-04T19:50:09.902129Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-12T18:26:20.700632Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2411.11622","last_updated":"2024-11-18T14:53:21Z","snapshot_observed_at":"2026-08-13T05:43:02.554657Z","submitted_at":"2024-11-18T14:53:21Z","title":"Constrained Deflection Angle and Shadows of Rotating Black Holes in Einstein-Maxwell-scalar Theory","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T18:26:20.700632Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2411.11622"},"observation_digest":"sha256:6e9959d8295df6b7b707abdcb297df5751afd347b4edf97a43768c21c71f83c8","observation_id":"9c12c56c-310b-4f0d-9edb-8a556730c9ac","resolution":{"observed_at":"2026-08-12T18:26:20.700632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-12T10:31:30.466069Z","title":"Gibbons and M.C","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2411.19172","last_updated":"2024-11-28T14:23:02Z","snapshot_observed_at":"2026-08-12T22:01:59.636418Z","submitted_at":"2024-11-28T14:23:02Z","title":"Revisit the relationship between spread complexity rate and radial momentum","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T10:31:30.466069Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2411.19172"},"observation_digest":"sha256:f1d5d28381e9191eabe17e53483c49a27f53b598f7e54092265ea0028cbb77da","observation_id":"303f6099-7beb-402f-aa72-351e4a9d47bb","resolution":{"observed_at":"2026-08-12T10:31:30.466069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-11T16:21:20.303726Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.10328","last_updated":"2025-03-10T00:35:29Z","snapshot_observed_at":"2026-08-12T14:16:11.469058Z","submitted_at":"2024-12-13T18:07:08Z","title":"Bounds for Lyapunov exponent of circular light orbits in black holes","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T16:21:20.303726Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2412.10328"},"observation_digest":"sha256:98512e4c497e114de568bbd29965ad87369d4d6439e17f2bf8a67ae57331c356","observation_id":"1b94ffb2-fa44-478b-b82f-aa0b7614995a","resolution":{"observed_at":"2026-08-11T16:21:20.303726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-11T12:39:01.151515Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.14126","last_updated":"2025-04-14T15:04:00Z","snapshot_observed_at":"2026-08-12T12:03:11.232134Z","submitted_at":"2024-12-18T18:14:47Z","title":"Gravitational lensing in a plasma from worldlines","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:39:01.151515Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2412.14126"},"observation_digest":"sha256:bb6ce157891dfeb18ce6af7912ee30ead6cbb4469b66f530f2b95949e9162d4b","observation_id":"b6bb957f-911d-4c8c-ad4f-246feba52a69","resolution":{"observed_at":"2026-08-11T12:39:01.151515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-10T22:07:50.352523Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2501.03554","last_updated":"2025-01-07T06:03:21Z","snapshot_observed_at":"2026-08-12T04:02:58.322953Z","submitted_at":"2025-01-07T06:03:21Z","title":"Weak deflection angle of charged signal in magnetic fields","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T22:07:50.352523Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2501.03554"},"observation_digest":"sha256:843f43200cd22a0fc0ce30543eef0645ba7cb030d286f8108e2df1af8e853515","observation_id":"3b476b73-39b5-46d1-884d-3ce551879076","resolution":{"observed_at":"2026-08-10T22:07:50.352523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-10T17:49:21.926312Z","title":"Gibbons, M","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2501.11934","last_updated":"2025-01-21T07:13:52Z","snapshot_observed_at":"2026-08-13T06:04:26.706382Z","submitted_at":"2025-01-21T07:13:52Z","title":"A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-10T17:49:21.926312Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2501.11934"},"observation_digest":"sha256:3217c43b200c6fdd920b6a56ea89bedde369c861f43c34a0f9a01849a2f1d0e4","observation_id":"e9bcf3fd-157e-49c5-932a-fda6c2ff7869","resolution":{"observed_at":"2026-08-10T17:49:21.926312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-08T23:50:42.851317Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2502.04044","last_updated":"2025-06-20T14:27:02Z","snapshot_observed_at":"2026-08-09T23:47:13.741408Z","submitted_at":"2025-02-06T13:04:15Z","title":"Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic","version":2},"reference_index":108,"source":"pdf_text","source_observed_at":"2026-08-08T23:50:42.851317Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2502.04044"},"observation_digest":"sha256:87413a99f4ca187a5ab52cebf9124e425599264842b3e3bc3e56f8be709d21b9","observation_id":"a1ec6730-5e53-4786-895b-58225989a613","resolution":{"observed_at":"2026-08-08T23:50:42.851317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-06T15:20:02.863104Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.16512","last_updated":"2026-06-02T07:39:23Z","snapshot_observed_at":"2026-08-09T06:26:48.828985Z","submitted_at":"2025-07-22T12:19:13Z","title":"Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:20:02.863104Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2507.16512"},"observation_digest":"sha256:e837974226bc45338c70eb468dbdf2655540428f0ef5908a8d293faea76e3a3c","observation_id":"abdad334-f95f-4822-9c97-d11c512c430c","resolution":{"observed_at":"2026-08-06T15:20:02.863104Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2601.06864","last_updated":"2026-05-05T01:33:32Z","snapshot_observed_at":"2026-08-09T07:45:45.919118Z","submitted_at":"2026-01-11T11:17:16Z","title":"Boundary-only weak deflection angles from isothermal optical geometry","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-16T15:42:53.936778Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2601.06864"},"observation_digest":"sha256:8df0e379f48efb29154d7e1645c8c28c2bfd5e42676f5ae76f2ba611018290cd","observation_id":"6712f077-dc04-4ff7-8895-bdc5baa6deac","resolution":{"observed_at":"2026-05-16T15:43:03.507157Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-03T07:42:10.189007Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing,","venue":null,"work_id":null,"year":2008},"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":43,"source":"pdf_text","source_observed_at":"2026-08-03T07:42:10.189007Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2601.20004"},"observation_digest":"sha256:39e8f3c0d79cb8a2f60f2fdbc95b186009cae3674b16da23dbfb9f862b784ed3","observation_id":"4df35aba-d33d-41a8-9e0b-a906d8de6b99","resolution":{"observed_at":"2026-08-03T07:42:10.189007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2604.16807","last_updated":"2026-04-18T03:29:59Z","snapshot_observed_at":"2026-08-08T13:21:05.853227Z","submitted_at":"2026-04-18T03:29:59Z","title":"Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T07:34:27.404141Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.16807"},"observation_digest":"sha256:145cb0e22459e60bf11c5c7f29bc353d27b25fdca5cfd59d5a27f37891e05ead","observation_id":"d277817b-7afc-4197-a32a-44077a7a6566","resolution":{"observed_at":"2026-05-10T07:37:04.751535Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2604.22181","last_updated":"2026-06-17T08:41:56Z","snapshot_observed_at":"2026-08-07T23:51:37.823266Z","submitted_at":"2026-04-24T03:14:59Z","title":"Shadow dependent phenomenology framework for rotating black hole metric","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-08T10:57:44.472226Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.22181"},"observation_digest":"sha256:363e307ccceb8c6ad911162ddb7859cb741e5ef3ee91943f7640be49b4cbf525","observation_id":"dd333abb-7a88-4fcd-9a82-eb35d728e90c","resolution":{"observed_at":"2026-05-11T19:51:09.293382Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2604.22181","last_updated":"2026-06-17T08:41:56Z","snapshot_observed_at":"2026-08-07T23:51:37.823266Z","submitted_at":"2026-04-24T03:14:59Z","title":"Shadow dependent phenomenology framework for rotating black hole metric","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-04T19:48:04.871864Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.22181"},"observation_digest":"sha256:699493181409064448a66f6ff646662c8afae7fea84358d2aa804bacd6fd0f0c","observation_id":"0ed462cc-5e1a-429a-a309-3a24cbfd9f8e","resolution":{"observed_at":"2026-07-04T19:50:09.903821Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2604.22684","last_updated":"2026-06-09T21:01:20Z","snapshot_observed_at":"2026-08-07T22:02:01.954317Z","submitted_at":"2026-04-24T16:10:42Z","title":"Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-08T10:45:23.754251Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.22684"},"observation_digest":"sha256:2246aff13911023af897ade6d568e43acac5969dee2c951f869a44ffbfd9a81b","observation_id":"9c1700ba-f6e4-4444-b9eb-9ebb5c9e86a4","resolution":{"observed_at":"2026-05-11T19:56:07.201826Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2604.24115","last_updated":"2026-07-30T07:24:26Z","snapshot_observed_at":"2026-08-03T09:24:48.365165Z","submitted_at":"2026-04-27T07:11:39Z","title":"Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-08T02:18:37.874796Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.24115"},"observation_digest":"sha256:ce5bce10880940a545dc81120a41deb586274dc38be52e29ee24e46c7482ed68","observation_id":"2c924400-d78e-48b8-83db-476408ee2aae","resolution":{"observed_at":"2026-05-11T22:51:23.488579Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-02T15:40:42.042443Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2604.24115","last_updated":"2026-07-30T07:24:26Z","snapshot_observed_at":"2026-08-03T09:24:48.365165Z","submitted_at":"2026-04-27T07:11:39Z","title":"Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T15:40:42.042443Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2604.24115"},"observation_digest":"sha256:b676a814e9bfa57f34bc9137b759d73c772bcb1a26db7fb28707d5064b204a42","observation_id":"5eb720e1-9811-4678-9625-052d625e4532","resolution":{"observed_at":"2026-08-02T15:40:42.042443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2605.00037","last_updated":"2026-04-28T09:28:44Z","snapshot_observed_at":"2026-08-10T22:24:35.307799Z","submitted_at":"2026-04-28T09:28:44Z","title":"Topology of black hole thermodynamics: A brief review","version":1},"reference_index":208,"source":"pdf_text","source_observed_at":"2026-05-09T21:02:05.741128Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.00037"},"observation_digest":"sha256:d9014d76525e0bf14371b49a33c36d8b91b9bd8d2ea1f0182a1559c7ecac3050","observation_id":"b951bbb6-0243-4f25-b808-d3af73be3bae","resolution":{"observed_at":"2026-05-11T14:47:10.595755Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2605.02807","last_updated":"2026-07-30T15:58:12Z","snapshot_observed_at":"2026-08-02T23:57:45.476866Z","submitted_at":"2026-05-04T16:45:38Z","title":"Hadronic lensing","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-08T18:26:45.923519Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.02807"},"observation_digest":"sha256:a29e6c69707193d9d5572d56e3c4421a09807ef494c6ee9212b063c8daf00c69","observation_id":"3af4984e-fea1-476e-b23a-2884e5c36524","resolution":{"observed_at":"2026-05-09T06:25:48.158706Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2605.02807","last_updated":"2026-07-30T15:58:12Z","snapshot_observed_at":"2026-08-02T23:57:45.476866Z","submitted_at":"2026-05-04T16:45:38Z","title":"Hadronic lensing","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-12T04:19:06.681137Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.02807"},"observation_digest":"sha256:4c99a25e7a1101d8f907cb7e9e13df74b89de2a4c6ea199a0c64c40edd7ab30c","observation_id":"0beaa6ad-d927-436b-a44f-5bddea05402d","resolution":{"observed_at":"2026-05-12T06:21:28.748971Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-02T15:09:10.088577Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.02807","last_updated":"2026-07-30T15:58:12Z","snapshot_observed_at":"2026-08-02T23:57:45.476866Z","submitted_at":"2026-05-04T16:45:38Z","title":"Hadronic lensing","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T15:09:10.088577Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.02807"},"observation_digest":"sha256:67e7d4d676f09924a7f8ce044654038487b34554258225f52faf1f7a50c8843b","observation_id":"d669786e-7dd2-4520-bd18-5bc2a6cf04f6","resolution":{"observed_at":"2026-08-02T15:09:10.088577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2605.26369","last_updated":"2026-05-25T22:34:51Z","snapshot_observed_at":"2026-08-12T14:54:39.206140Z","submitted_at":"2026-05-25T22:34:51Z","title":"Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-29T20:20:54.407011Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.26369"},"observation_digest":"sha256:907f7d7a3cb53fbf5770b578da6c20f4c25037bd4073bb269c705a6df7aac956","observation_id":"af4ecd23-41fe-4672-ad52-d5b6e821025f","resolution":{"observed_at":"2026-06-30T00:24:04.872264Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2605.27953","last_updated":"2026-06-18T04:16:15Z","snapshot_observed_at":"2026-07-06T23:37:36.244456Z","submitted_at":"2026-05-27T04:47:49Z","title":"Probing Effective Field Theory Corrections with Quasinormal Modes and Gravitational Lensing in Reissner-Nordstr\\\"om Black Holes","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T11:20:05.053294Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2605.27953"},"observation_digest":"sha256:9497475295627b0d34982524fb47e6a84b50160bde3be8187dc410d9803759e0","observation_id":"94e9c774-3348-4dd8-b8bb-71136d4ef4d9","resolution":{"observed_at":"2026-06-29T11:23:20.793158Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":"0807.0854","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-04T19:50:09.902129Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","venue":"gr-qc","work_id":"ec791aba-0a6f-4e7d-ad92-0b1d5298c57c","year":2008},"citing_paper":{"arxiv_id":"2606.19773","last_updated":"2026-06-18T04:13:51Z","snapshot_observed_at":"2026-08-07T21:24:40.965730Z","submitted_at":"2026-06-18T04:13:51Z","title":"Polarization-Dependent Photon Propagation, Quasinormal Modes, and Gravitational Lensing in Higher-Curvature Effective Theories","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-26T17:04:10.460220Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2606.19773"},"observation_digest":"sha256:1d1d4dd2ae9ea439c27c2fa38558d9a510c647281ded1ba091dbe247d3c363d4","observation_id":"25d3ac25-b172-467e-815c-ac1a1db4e060","resolution":{"observed_at":"2026-07-04T04:19:34.897813Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-12T08:22:43.074418Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.02631","last_updated":"2026-07-02T13:41:14Z","snapshot_observed_at":"2026-08-07T09:05:50.713407Z","submitted_at":"2026-07-02T13:41:14Z","title":"Observational Constraints on Kazakov-Solodukhin Quantum-Deformed Black Holes from M87$^*$ and Sgr A$^*$ Shadows","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-07-12T08:22:43.074418Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2607.02631"},"observation_digest":"sha256:186e506cd15fd484ab259cf57811b7832173ea7cb86ba9c62f51c045e5cc9b42","observation_id":"99c5dff2-6e08-4fa4-8840-4ee228dfa879","resolution":{"observed_at":"2026-07-12T08:22:43.074418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-07-13T06:53:29.838339Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.08792","last_updated":"2026-07-07T11:39:51Z","snapshot_observed_at":"2026-08-09T03:12:18.056785Z","submitted_at":"2026-07-07T11:39:51Z","title":"A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\\left(2,3,0\\right)$ Dark Matter Halos","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-13T06:53:29.838339Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2607.08792"},"observation_digest":"sha256:cbb6badc62526ac7405ea38c37664bb4a255c50c8231aef598a54e653d6f9ed4","observation_id":"a8f15e3a-a267-4f24-a49c-ccdc4408c05e","resolution":{"observed_at":"2026-07-13T06:53:29.838339Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-01T19:55:51.102052Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.16842","last_updated":"2026-07-18T14:40:59Z","snapshot_observed_at":"2026-08-07T16:58:22.552848Z","submitted_at":"2026-07-18T14:40:59Z","title":"Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T19:55:51.102052Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2607.16842"},"observation_digest":"sha256:5ba69340bd807760163964a8ae69dfd93a2f99f563d45ed0bf67c7c8d20ca921","observation_id":"5fd366a2-3ee3-4399-9177-3940bdf07be1","resolution":{"observed_at":"2026-08-01T19:55:51.102052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0854","snapshot_observed_at":"2026-08-01T06:51:10.262420Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.21783","last_updated":"2026-07-23T20:03:49Z","snapshot_observed_at":"2026-08-13T07:51:49.390222Z","submitted_at":"2026-07-23T20:03:49Z","title":"Quantum-Corrected Thermodynamics, Dirac Perturbations, Geodesic Structure, and Topological Phases of Black Holes with Non-Minimal Logarithmic Coupling","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T06:51:10.262420Z"},"links":{"cited_paper":"/paper/0807.0854","citing_paper":"/paper/2607.21783"},"observation_digest":"sha256:ee57a98444b3007eddfc170d8634e30ad632f931f19a55cdcce01e593fa6bb17","observation_id":"4a8f1a83-266e-4511-adca-981273fae2f8","resolution":{"observed_at":"2026-08-01T06:51:10.262420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/0807.0854/citation-record","integrity":"/paper/0807.0854/integrity","json":"/paper/0807.0854/citation-record.json","paper":"/paper/0807.0854"},"outbound":[],"paper":{"arxiv_id":"0807.0854","last_updated":"2008-07-05T12:24:21Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T01:39:37.920957Z","submitted_at":"2008-07-05T12:24:21Z","title":"Applications of the Gauss-Bonnet theorem to gravitational lensing"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 27 inbound Pith citation observations for arXiv:0807.0854."}