Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:10:46.026291Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2507.03981.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:10:46.026291Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:10:45.748845Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T20:10:46.448887Z
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation daccc00a-d3e8-4b89-ba17-92518c5bc773 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 95d09942-217a-4284-aec5-d6622ad3e3c7 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity First, we examine the extreme case, where u = 1/(1 + ℓ) with 0 < u <1
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 66750c6f-b148-415a-ad6c-fd6d9a2cc970 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4852ae0e-3e4c-4756-b9bd-8db5808f2f0d · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3850a18c-8db6-4477-8bb9-6bf2d25fde6b · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 030f4717-5f04-4947-b10e-e87100d23479 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Observation of Gravitational Waves from a Binary Black Hole Merger
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb3d1b02-c3d7-4b89-bed8-18f388cc1e6a · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 538ea253-6408-43aa-8d4f-7b711d41b386 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Chandrasekhar and K
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c4e9c87f-cb4a-445b-b245-79a50f935ebe · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7686b856-7e85-4011-a8cc-aa9fd7b49a90 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f78491df-3556-473f-b9a7-3d59ba3ce1c2 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spherical orbits around a Kerr black hole
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b96ab101-a06d-4f79-acd6-a34d86f42b66 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spherical null geodesics of rotating Kerr black holes
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d66a779d-0a1c-4d7b-8cb5-b7fa9dc6dc03 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Observational signatures of disk and jet misalignment in images of accreting black holes
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10e9caa0-cb3d-4e10-a352-fb14e6b2748f · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73141744-2fee-410a-ae79-e5aa8e16790a · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity A ring-like accretion structure in M87 connecting its black hole and jet
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e252df76-3a6f-4964-b872-89539a77554a · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Precessing jet nozzle connecting to a spinning black hole in M87
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab0fc18b-bdf7-4493-bb84-35ef74d0b82b · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Carter, Phys
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 286b3355-93a0-4f29-81fe-3c7f9c74de8d · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fecc1215-036b-4459-874e-290f8cea0f76 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Black hole shadow in an asymptotically-flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb1d1c89-c89d-4f59-a87e-ae31d09c1924 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Kerr-MOG-(A)dS black hole and its shadow in scalar-tensor-vector gravity theory
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3267ffcc-257d-4637-831f-9f41b66e9452 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Shadow of slowly rotating Kalb-Ramond black holes
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b72d9d62-0c6e-47e9-bf05-d9e2cf2c3538 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Shadows and accretion disk images of charged rotating black hole in modified gravity theory
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab800757-c426-464f-a243-893f3fedf82e · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Exact Formulas for Spherical Photon Orbits Around Kerr Black Holes
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bd820c0e-d4b4-4619-b210-de90d2f36e7e · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Radii of spherical photon orbits around Kerr-Newman black holes
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b8baad59-19cf-43b0-9ef9-bc29ecc81e56 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spherical orbits around Kerr-Newman and Ghosh black holes
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f67dc1d3-a4b4-482a-a651-4d000c878b4f · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Light Rings around Five Dimensional Stationary Black Holes and Naked Singularities
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d4f82cd4-db8e-4fba-831b-2638e6c66103 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Mattingly, Living Reviews in Relativity 8 (2005), 10.12942/lrr-2005-5
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07faf251-92dc-4c99-aab1-1f88cacf15a4 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Quantum Spacetime Phenomenology
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbf4ed7c-7693-4500-a235-1a77abf5bf01 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 85bdb80e-db03-45ea-a338-23785d16cc32 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity CPT Violation and the Standard Model
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27af50e8-e6fa-4d8d-bf2e-8195e49330be · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Lorentz-Violating Extension of the Standard Model
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 330fd14d-6849-4e0b-93e6-4b2a5ab395a5 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Gravity, Lorentz Violation, and the Standard Model
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c631cf42-9e86-40bd-aa89-f7864b9c66f9 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Cosmic Ray and Neutrino Tests of Special Relativity
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ceb8dede-2b36-4b05-8046-070b81c36bc4 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity High-Energy Tests of Lorentz Invariance
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 156abc6a-b6e4-4ac4-af35-8006737bb13a · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Ultraviolet modifications of dispersion relations in effective field theory
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af128bcc-fab8-4293-8d66-ae6a3ab6662c · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f253774-e179-41f3-9e4a-1717b48ffb45 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 59dcc57b-a835-40d1-9182-0d51010db46c · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Ovgun, K
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a448bb9e-6543-45be-8ef1-d607ec6e3296 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Casana, A
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 17af8c49-c0c2-47d2-9832-0b8563afa942 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Capelo and J
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d9ec50e1-de76-4124-9bfb-df466861ee23 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 07c332dd-bb9a-483f-ac95-5c1d4bd1f150 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7af895c4-d8fd-485a-9968-28ee74ef23fa · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea5d06df-ea1c-4b9d-88bf-8706d3c2487e · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7ced8c64-edd6-4192-bba3-ec76c0d9d51f · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f65b1e6-3076-4a4c-8a6c-5dc97d7dfe29 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de27b4cb-ec8e-4ddc-adaa-0dd1bf6067f0 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Quasinormal frequencies for a black hole in a bumblebee gravity
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbc37741-08ff-43db-8223-e1fa501c5f04 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity GUP Modified Hawking Radiation in Bumblebee Gravity
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5803f4c-54ae-4411-b652-3385d6031e6e · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Schwarzschild-like black hole with a topological defect in bumblebee gravity
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d392504c-9fd8-411c-8bc3-871cdb72aa38 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Black holes with a cosmological constant in bumblebee gravity
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75eefb38-e004-443a-83ca-a0d35a112f37 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Einstein-Gauss-Bonnet gravity coupled to bumblebee field in four dimensional spacetime
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c5ac1094-8afc-4ed8-be80-c28ad183ae34 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Investigating Rotating Black Holes in Bumblebee Gravity: Insights from EHT Observations
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9f2b075-5eaa-4d9a-b522-93470cebbe8d · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Thin accretion disk around a rotating Kerr-like black hole in Einstein-bumblebee gravity model
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16af60ce-866c-4d67-b39c-72a85e0ea695 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Shadow cast by Kerr-like black hole in the presence of plasma in Einstein-bumblebee gravity
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e08ffe91-404d-4524-a049-ff04497c7c92 · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45b7c807-b1de-4015-8b7f-3279a15b2aeb · outbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Fundamental photon orbits: black hole shadows and spacetime instabilities
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation daccc00a-d3e8-4b89-ba17-92518c5bc773 · inbound
Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 49aa33b3-157e-4b58-a931-910aaf63fa61 · inbound
Probing Lorentz-violating effects via precession and accretion disk images of a rotating bumblebee black hole Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.