Paper Citation Record · LEDGER

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

As of 18 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 2 inbound Pith citation observations for arXiv:2507.13048.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.13048 v1

Coverage vector

measured 85 of 85 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: arxiv_reference, observed 2026-05-16T15:43:03.575821Z

Reference resolution

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External citation measurements

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Outbound references

Observation 9d191113-b133-4b7f-8874-d43ce5598e34 · outbound

This paper cites an unresolved cited work.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Unresolved cited work

Reference 1

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Observation 237c0be7-26a4-409a-ac05-4ed5e00331f8 · outbound

This paper cites Einstein, Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field, Science 84, 506-507 (1936) doi:10.1126/science.84.2188.506 16.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Einstein, Lens-Like Action of a Star by the Deviation of Light in the Gravitational Field, Science 84, 506-507 (1936) doi:10.1126/science.84.2188.506 16

Reference 2

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Observation f27901e9-3420-47e6-8c49-bff89b451247 · outbound

This paper cites an unresolved cited work.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.442859Z

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Observation ef3a9348-2ab2-4545-b665-be36646731f5 · outbound

This paper cites Probing the Universe with Weak Lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Probing the Universe with Weak Lensing

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.544584Z

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Observation 39979372-1be3-4ff1-aec0-5ef6426e5ad2 · outbound

This paper cites Weak Gravitational Lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Weak Gravitational Lensing

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.623133Z

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Observation f5bafc29-96b1-4a7a-bdcd-9a5a2bf15615 · outbound

This paper cites CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.714716Z

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Observation 97001b97-367c-4c76-ad5b-0bc53a20923a · outbound

This paper cites Kaiser and G.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Kaiser and G

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.790492Z

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Observation a4be3057-f3c8-4955-9a11-dc398e142be6 · outbound

This paper cites A direct empirical proof of the existence of dark matter.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres A direct empirical proof of the existence of dark matter

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.869242Z

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Observation c4166070-9bc5-4a65-b3a5-38164963a088 · outbound

This paper cites Atamurotov, A.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Atamurotov, A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:15.979435Z

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Observation 149a45ee-ce0e-4a6a-9b2f-131a76bd3a88 · outbound

This paper cites Biesiada, Strong lensing systems as a probe of dark energy in the universe, Phys.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Biesiada, Strong lensing systems as a probe of dark energy in the universe, Phys

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T16:40:23.541883Z

Source-reported events for the cited work

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Observation ed8053a4-f920-4441-a6b5-46abe8419f53 · outbound

This paper cites Cosmology with Strong Lensing Systems.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Cosmology with Strong Lensing Systems

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:16.135323Z

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Observation b7ee6954-6dd7-41a9-94de-f1a69f67f017 · outbound

This paper cites Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:16.252180Z

Source-reported events for the cited work

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Observation 081436f5-5c62-4eba-8cde-78b7a8503b37 · outbound

This paper cites Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:16.410649Z

Source-reported events for the cited work

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Observation 948c22cf-3675-46fb-b63b-491733c515ed · outbound

This paper cites Geometrization of light bending and its application to SdSw spacetime.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Geometrization of light bending and its application to SdSw spacetime

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:26.645439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7e81f3d5-bd3c-4938-8b7a-892c094ecaf4 · outbound

This paper cites The Discovery of a Luminous z=5.80 Quasar from the Sloan Digital Sky Survey.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres The Discovery of a Luminous z=5.80 Quasar from the Sloan Digital Sky Survey

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:26.465972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a669bf1-78fb-4c19-8f98-42f279166f2f · outbound

This paper cites Probing the Coevolution of Supermassive Black Holes and Galaxies Using Gravitationally Lensed Quasar Hosts.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Probing the Coevolution of Supermassive Black Holes and Galaxies Using Gravitationally Lensed Quasar Hosts

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:26.308360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a3b94ac-e668-4b84-89c8-859c2bb6dec8 · outbound

This paper cites Oguri and P.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Oguri and P

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:16.918750Z

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Observation 6ea8ca06-bd83-4567-9edb-34d94d755f4d · outbound

This paper cites Revisiting the Lensed Fraction of High-Redshift Quasars.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Revisiting the Lensed Fraction of High-Redshift Quasars

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.016322Z

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Observation 2743fc8e-588a-42de-add7-95f285df02b9 · outbound

This paper cites Seljak and C.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Seljak and C

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-06T16:40:26.071432Z

Source-reported events for the cited work

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Observation ec916cda-b50e-4ad7-88fe-4ccf2f0b166c · outbound

This paper cites Evidence for lensing of gravitational waves from LIGO-Virgo.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Evidence for lensing of gravitational waves from LIGO-Virgo

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.219347Z

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Observation 4a8c0414-e4ff-40de-a5a7-e6d942015aed · outbound

This paper cites Probing modified gravitational wave propagation with strongly lensed coalescing binaries.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Probing modified gravitational wave propagation with strongly lensed coalescing binaries

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.361464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26303b63-8ad0-4544-b3ef-f56180653fab · outbound

This paper cites Weak Lensing Probes of Modified Gravity.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Weak Lensing Probes of Modified Gravity

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.478394Z

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Observation 3e547f45-3853-4002-b41a-ddb9779ee2a6 · outbound

This paper cites Tests of Gravity from Imaging and Spectroscopic Surveys.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Tests of Gravity from Imaging and Spectroscopic Surveys

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:25.831689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation de5a77b1-7bde-47d4-9c47-68e1d2bf1cf2 · outbound

This paper cites The Distance Duality Relation from Strong Gravitational Lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres The Distance Duality Relation from Strong Gravitational Lensing

Reference 24

Resolution: malformed identifier; no resolver link, observed 2026-08-06T16:40:17.736000Z

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Observation 85a4647a-44bb-4268-8281-a0d8e5d3c0ed · outbound

This paper cites Phantom wormholes in Einstein-Maxwell-dilaton theory.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Phantom wormholes in Einstein-Maxwell-dilaton theory

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.831439Z

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Observation 46d994d7-a5e6-490e-b822-0e69f8508403 · outbound

This paper cites Gravitational lensing in a black-bounce traversable wormhole spacetime.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Gravitational lensing in a black-bounce traversable wormhole spacetime

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:17.969889Z

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Observation 53766b38-b485-4de5-b253-8e28dbae6f94 · outbound

This paper cites Einstein-Maxwell-dilaton neutral black holes in strong magnetic fields: topological charge, shadows and lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Einstein-Maxwell-dilaton neutral black holes in strong magnetic fields: topological charge, shadows and lensing

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.091355Z

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Observation eab84588-ffc7-41c4-a225-fffa91dc09a8 · outbound

This paper cites Strong gravitational lensing by rotating Simpson--Visser black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Strong gravitational lensing by rotating Simpson--Visser black holes

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:25.641548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aff4af90-a4e6-4243-986f-7c24dc590d64 · outbound

This paper cites Retrolensing by two photon spheres of a black-bounce spacetime.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Retrolensing by two photon spheres of a black-bounce spacetime

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.317170Z

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Observation e09fc92e-6bd0-4465-9f5a-5181e6ef4a14 · outbound

This paper cites First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.436817Z

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Observation deeb004d-6d47-40de-9f0d-14c86a1a6d8a · outbound

This paper cites First M87 Event Horizon Telescope Results. II. Array and Instrumentation.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. II. Array and Instrumentation

Reference 31

Resolution: malformed identifier; no resolver link, observed 2026-08-06T16:40:18.520981Z

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Observation 370660b6-6d7f-441b-b00e-757b4a0a9586 · outbound

This paper cites First M87 Event Horizon Telescope Results. III. Data Processing and Calibration.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. III. Data Processing and Calibration

Reference 32

Resolution: malformed identifier; no resolver link, observed 2026-08-06T16:40:18.584002Z

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Observation b3224560-23ff-4b27-b953-bb6b126590be · outbound

This paper cites First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.654269Z

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Observation eb2f9c08-2ee0-4a50-a519-f7eaa82f1d5f · outbound

This paper cites First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.777799Z

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Observation 0022fdf1-a68e-486c-9bf6-50a9c085b855 · outbound

This paper cites First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:18.885480Z

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Observation 27c8a733-fe55-4633-b402-3af0e531d0e4 · outbound

This paper cites First M87 Event Horizon Telescope Results. VII. Polarization of the Ring.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. VII. Polarization of the Ring

Reference 36

Resolution: malformed identifier; no resolver link, observed 2026-08-06T16:40:18.974406Z

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Observation f2c5e283-d4e7-49e1-91b8-d20410d5d8bf · outbound

This paper cites First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.061985Z

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Unavailable: canonical work link unavailable.

Observation 163b6e43-e581-4ace-8269-71ffe432c0bd · outbound

This paper cites Viewing the Shadow of the Black Hole at the Galactic Center.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Viewing the Shadow of the Black Hole at the Galactic Center

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.177359Z

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Unavailable: canonical work link unavailable.

Observation d5b69bcb-27ae-492f-ac3e-1b41a4f231f1 · outbound

This paper cites Schwarzschild black hole lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Schwarzschild black hole lensing

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.256446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e06e8699-2511-4de9-8eed-0688f35254b1 · outbound

This paper cites The geometry of photon surfaces.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres The geometry of photon surfaces

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.357836Z

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Observation 2d8d3a6d-f9b1-41cd-9f42-327ae2939790 · outbound

This paper cites Reissner-Nordstrom black hole lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Reissner-Nordstrom black hole lensing

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.442714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b1ddaf5-1a51-4c48-ae14-b6edfc3a63e1 · outbound

This paper cites Relativistic images of Schwarzschild black hole lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Relativistic images of Schwarzschild black hole lensing

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.570272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9bea245-0110-41ea-b18b-fd3ed15a2dec · outbound

This paper cites Shadows of Multi-Black Holes: Analytic Exploration.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows of Multi-Black Holes: Analytic Exploration

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.662219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 636baeb3-42d5-4d61-bdbd-9aba215e4205 · outbound

This paper cites Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Observing the shadow of Einstein-Maxwell-Dilaton-Axion black hole

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.753044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20fa084b-a6d0-49eb-b444-6329be772379 · outbound

This paper cites Constraints on a charge in the Reissner--Nordstr\"om metric for the black hole at the Galactic Center.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Constraints on a charge in the Reissner--Nordstr\"om metric for the black hole at the Galactic Center

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:25.355896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3b06040-2bdc-409a-8d2e-71d4c2e6b433 · outbound

This paper cites Horizon structure of rotating Einstein-Born-Infeld black holes and shadow.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Horizon structure of rotating Einstein-Born-Infeld black holes and shadow

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:19.949326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73640067-d0d0-47b7-b95b-a7b97ce5f05f · outbound

This paper cites Shadows of Einstein-dilaton-Gauss-Bonnet black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows of Einstein-dilaton-Gauss-Bonnet black holes

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.039680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51fb56c5-2131-43df-9edc-47b8d60a5128 · outbound

This paper cites Shadow of a Kerr-Sen dilaton-axion Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadow of a Kerr-Sen dilaton-axion Black Hole

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:25.236515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation daf3d931-5008-4535-8763-74491de7cdd4 · outbound

This paper cites Shadows of rotating five-dimensional charged EMCS black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows of rotating five-dimensional charged EMCS black holes

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.233719Z

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Unavailable: canonical work link unavailable.

Observation b5ee5272-b1c3-4d5b-b699-f27f1f357c05 · outbound

This paper cites Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.346690Z

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Unavailable: canonical work link unavailable.

Observation 03617546-e20c-46bf-bf67-956be2168781 · outbound

This paper cites Shadow cast and Deflection angle of Kerr-Newman-Kasuya spacetime.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadow cast and Deflection angle of Kerr-Newman-Kasuya spacetime

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.469597Z

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Unavailable: canonical work link unavailable.

Observation c846ebd2-860e-4b32-a91f-54d460516e18 · outbound

This paper cites Black hole shadow in an expanding universe with a cosmological constant.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Black hole shadow in an expanding universe with a cosmological constant

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.595388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e04654b-dccb-4e1f-8dea-6f7313099860 · outbound

This paper cites Shadow cast and deflection of light by charged rotating regular black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadow cast and deflection of light by charged rotating regular black holes

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.650408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f3b4cc-0f3f-4853-a96a-520cec2795c1 · outbound

This paper cites Shadows and deflection angle of charged and slowly rotating black holes in Einstein-{\AE}ther theory.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows and deflection angle of charged and slowly rotating black holes in Einstein-{\AE}ther theory

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.717550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99fe604c-9358-45ff-9fb1-a28e2d9825be · outbound

This paper cites Ma and H.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Ma and H

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.780508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7ebefdb-7894-4748-b9a3-a87b2aa30a13 · outbound

This paper cites Understanding photon sphere and black hole shadow in dynamically evolving spacetimes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Understanding photon sphere and black hole shadow in dynamically evolving spacetimes

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.878366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f66c063-1169-466d-8bd6-322659b3330d · outbound

This paper cites Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:20.974330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c531b60d-231c-44ad-94d5-8ddd51169d2c · outbound

This paper cites Influence of quintessence dark energy on the shadow of black hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Influence of quintessence dark energy on the shadow of black hole

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.075720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a2228c7-e3ad-4549-ba0a-9bc0ee2ce20b · outbound

This paper cites Image of a regular phantom compact object and its luminosity under spherical accretions.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Image of a regular phantom compact object and its luminosity under spherical accretions

Reference 59

Resolution: malformed identifier; local_arxiv, observed 2026-08-06T16:40:25.001070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 688ed247-ffb4-40da-abfd-e4675bf523ce · outbound

This paper cites Imprints of Dark Matter on Black Hole Shadows using Spherical Accretions.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Imprints of Dark Matter on Black Hole Shadows using Spherical Accretions

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:24.831869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 65005446-52af-4741-abca-7fc5fae26187 · outbound

This paper cites A study on black hole shadows in asymptotically de Sitter spacetimes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres A study on black hole shadows in asymptotically de Sitter spacetimes

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.364680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5352e78b-d738-45c7-85fd-532f5a949ad6 · outbound

This paper cites Shadow of a Spinning Black Hole in an Expanding Universe.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadow of a Spinning Black Hole in an Expanding Universe

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.474618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e49ddcd3-a118-457e-8915-0afcb6433e6b · outbound

This paper cites Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.546927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a910a0c5-0fb6-48a6-b112-89371420346b · outbound

This paper cites Shadows of the accelerating black holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Shadows of the accelerating black holes

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:24.637037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a4f7a25-624a-44f3-bfa6-3efb0ade467c · outbound

This paper cites an unresolved cited work.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Unresolved cited work

Reference 65

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T16:40:24.475300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2b126cc1-b2bf-4393-a81c-06e0bf154109 · outbound

This paper cites Light ring images of double photon spheres in black hole and wormhole space-times.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Light ring images of double photon spheres in black hole and wormhole space-times

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.805303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 950e4d08-b60f-4672-9d54-74b5d28994da · outbound

This paper cites Distortions of images of Schwarzschild lensing.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Distortions of images of Schwarzschild lensing

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.877470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36441825-a989-46d9-b322-d402a631ff25 · outbound

This paper cites Photon Spheres and Spherical Accretion Image of a Hairy Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Photon Spheres and Spherical Accretion Image of a Hairy Black Hole

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:21.952323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7efba07-6052-47c8-8660-88095bfe3d7c · outbound

This paper cites Photon Ring and Observational Appearance of a Hairy Black Hole.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Photon Ring and Observational Appearance of a Hairy Black Hole

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.062117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29740d4e-9e55-4611-b5a4-abf63dd629e4 · outbound

This paper cites Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.143241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f69bb80e-05d4-4970-b70a-5043f33dbb6e · outbound

This paper cites Resummation of Massive Gravity.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Resummation of Massive Gravity

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.236917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27bfcb62-43bb-475c-8864-dce5f8dca235 · outbound

This paper cites Gravitational wave echoes from black holes in massive gravity.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Gravitational wave echoes from black holes in massive gravity

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.333626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c225b75c-001f-4669-870c-a40bf91d0141 · outbound

This paper cites Quasinormal Modes of Black Holes with Multiple Photon Spheres.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Quasinormal Modes of Black Holes with Multiple Photon Spheres

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.408740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 585811f1-2ec0-418e-aab6-98f9de94e989 · outbound

This paper cites Echoes from Hairy Black Holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Echoes from Hairy Black Holes

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.514249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8444f5e8-0152-4776-a6ac-d989820a067e · outbound

This paper cites Echoes from Classical Black Holes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Echoes from Classical Black Holes

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.620665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be647b81-a2a5-4d8b-8faf-8829fc8966c3 · outbound

This paper cites an unresolved cited work.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Unresolved cited work

Reference 76

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T16:40:24.183595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0f05a6c1-c172-4d56-973e-b00ebef474d6 · outbound

This paper cites Signature of Non-uniform Area Quantization on Black Hole Echoes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Signature of Non-uniform Area Quantization on Black Hole Echoes

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.746355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 422c7f2c-4a86-415e-8418-3a4b89ade910 · outbound

This paper cites Mixing of gravitational wave echoes.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Mixing of gravitational wave echoes

Reference 78

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:23.972110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cf6c1d70-08c1-41d4-8747-b22fb324bb69 · outbound

This paper cites Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.903010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecd3fbc9-b2e0-4a53-a925-b593fd3a2435 · outbound

This paper cites Born, On the quantum theory of the electromagnetic field, Proc.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Born, On the quantum theory of the electromagnetic field, Proc

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:22.957599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fd3bb37-4ae3-4b6d-9013-cf815f38983f · outbound

This paper cites Born and L.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Born and L

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:23.036969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f3ec860-9533-416c-9cc2-29d8d4778122 · outbound

This paper cites Non-singular quantum-inspired gravitational collapse.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Non-singular quantum-inspired gravitational collapse

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:23.114311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f60b40a-64d5-4fae-a8cb-36d53b06b360 · outbound

This paper cites Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories

Reference 83

Resolution: malformed identifier; local_arxiv, observed 2026-08-06T16:40:23.709463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 050ac179-feeb-43d0-b76f-d9030ba5e09f · outbound

This paper cites Gravitational Lensing by Black Holes with Multiple Photon Spheres.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Gravitational Lensing by Black Holes with Multiple Photon Spheres

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:23.286384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb5db750-4ce9-43af-b9a9-72992b99d679 · outbound

This paper cites Black Hole Shadows, Photon Rings, and Lensing Rings.

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres Black Hole Shadows, Photon Rings, and Lensing Rings

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:23.380584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ca50d4ce-52d1-4587-a019-eac1cb0d1c78 · inbound

Boundary-only weak deflection angles from isothermal optical geometry cites this paper.

Boundary-only weak deflection angles from isothermal optical geometry Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-16T15:43:03.577385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 64841d92-be63-4c20-b033-826f4f3fd377 · inbound

Topologically equivalent yet radiatively distinct orbits in EMRI system cites this paper.

Topologically equivalent yet radiatively distinct orbits in EMRI system Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:05:24.530604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.