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Paper Citation Record · LEDGER

Testing Extended Theories of Gravity via Black Hole Photon Rings

As of 20 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2505.21314.

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

pith.paper-citation-record.v1
2505.21314 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:46:34.754924Z

measured 67 of 67 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

67 of 67 outbound references displayed

  • verified exact7
  • verified fuzzy2
  • unresolved58
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e52e33f4-06c2-44b0-8234-eaee4e1048e2 · outbound

This paper cites The Confrontation between General Relativity and Experiment.

Testing Extended Theories of Gravity via Black Hole Photon Rings The Confrontation between General Relativity and Experiment

Reference 1

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Observation 47e8a213-09ad-40b5-be8d-6578355b63c3 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 2

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Observation c50b0010-5245-4da6-9f33-cdfe97560138 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 3

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Observation 3b2ee1f8-b990-4b23-9501-964f3c9e8475 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 4

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Observation c8c10674-9271-4d96-bdc3-f147b4f45c74 · outbound

This paper cites Testing General Relativity with Present and Future Astrophysical Observations.

Testing Extended Theories of Gravity via Black Hole Photon Rings Testing General Relativity with Present and Future Astrophysical Observations

Reference 5

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Observation 948e0b04-12ee-4eaf-8680-debe0b4f669d · outbound

This paper cites Testing the Schwarzschild metric in a strong field region with the Event Horizon Telescope.

Testing Extended Theories of Gravity via Black Hole Photon Rings Testing the Schwarzschild metric in a strong field region with the Event Horizon Telescope

Reference 6

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Observation 9f81f662-6ec2-4d3b-9139-91657fd68bb9 · outbound

This paper cites Quantum Gravity at a Lifshitz Point.

Testing Extended Theories of Gravity via Black Hole Photon Rings Quantum Gravity at a Lifshitz Point

Reference 7

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Observation 80fac3e5-37ab-4d8b-af72-8016ef7c504d · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6eb7402e-f61f-43d1-94e1-389d0db02919 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Reference 9

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Observation 303f926b-3c5d-48e4-b519-0d36b9d3b893 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. II. Array and Instrumentation

Reference 10

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Observation c63fd40a-a1e8-416d-b0cb-64a63af36eb2 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. III. Data Processing and Calibration

Reference 11

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Observation c51c7765-b439-42cd-be39-81b55da2b07c · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole

Reference 12

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Observation b6dfedef-10c0-4736-b415-3ae31cbb93e5 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring

Reference 13

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Observation 8781cea7-49ef-487a-b510-de479eb6f83e · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole

Reference 14

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Observation 0395734b-e16b-45d2-8896-cf1e26c10ecb · outbound

This paper cites First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way.

Testing Extended Theories of Gravity via Black Hole Photon Rings First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way

Reference 15

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Observation 8b115320-e168-4c3e-8c7d-e999847420cd · outbound

This paper cites (22) In polar coordinates, ϕ represents the total polar angle change along the null geodesic’s path.

Testing Extended Theories of Gravity via Black Hole Photon Rings (22) In polar coordinates, ϕ represents the total polar angle change along the null geodesic’s path

Reference 16

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Observation d69f280a-3851-4e58-a968-2130d0f1c2f3 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings Black Hole Shadows, Photon Rings, and Lensing Rings

Reference 17

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Observation 0591f04c-68bb-4e6f-b69e-8983ae734683 · outbound

This paper cites Rings and images of Horndeski hairy black hole illuminated by various thin accretions.

Testing Extended Theories of Gravity via Black Hole Photon Rings Rings and images of Horndeski hairy black hole illuminated by various thin accretions

Reference 18

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Observation a02ca880-8e44-4942-b938-53c97968d8bd · outbound

This paper cites Optical appearance of Einstein-{\AE}ther black hole surrounded by thin disk.

Testing Extended Theories of Gravity via Black Hole Photon Rings Optical appearance of Einstein-{\AE}ther black hole surrounded by thin disk

Reference 19

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Observation c9502183-ba5a-4968-b5e7-7c524b6d7bea · outbound

This paper cites Observing the Inner Shadow of a Black Hole: A Direct View of the Event Horizon.

Testing Extended Theories of Gravity via Black Hole Photon Rings Observing the Inner Shadow of a Black Hole: A Direct View of the Event Horizon

Reference 20

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Observation ec05d56e-660b-418b-aabe-e8a6917f5ce7 · outbound

This paper cites Constraints on Quasinormal modes from Black Hole Shadows in regular non-minimal Einstein Yang-Mills Gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings Constraints on Quasinormal modes from Black Hole Shadows in regular non-minimal Einstein Yang-Mills Gravity

Reference 21

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0c6372c5-cad0-4004-a50d-36805a668d86 · outbound

This paper cites Universal Interferometric Signatures of a Black Hole's Photon Ring.

Testing Extended Theories of Gravity via Black Hole Photon Rings Universal Interferometric Signatures of a Black Hole's Photon Ring

Reference 22

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Observation a2687462-c156-4253-87ab-fa7941ca76c1 · outbound

This paper cites Universal Polarimetric Signatures of the Black Hole Photon Ring.

Testing Extended Theories of Gravity via Black Hole Photon Rings Universal Polarimetric Signatures of the Black Hole Photon Ring

Reference 23

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Observation 8285fc64-eefd-4bc3-bc92-eb3668060058 · outbound

This paper cites Extreme Gravitational Lensing near Rotating Black Holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Extreme Gravitational Lensing near Rotating Black Holes

Reference 24

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Observation ad6ad767-f54c-4ea3-ae39-a3e2cf793644 · outbound

This paper cites Investigating shadow images and rings of the charged Horndeski black hole illuminated by various thin accretions.

Testing Extended Theories of Gravity via Black Hole Photon Rings Investigating shadow images and rings of the charged Horndeski black hole illuminated by various thin accretions

Reference 25

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Observation 6c3f27ac-d596-4b4d-8f3a-570988fa8c03 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 26

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3353ee8b-b434-4d3f-a63c-e0197f436ae2 · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings Photon Ring and Observational Appearance of a Hairy Black Hole

Reference 27

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Observation b1534f3a-11fc-45fa-9a80-f26d7a7f235a · outbound

This paper cites Shapes and Positions of Black Hole Shadows in Accretion Disks and Spin Parameters of Black Holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shapes and Positions of Black Hole Shadows in Accretion Disks and Spin Parameters of Black Holes

Reference 28

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Observation cbe4ca41-b606-4406-ba0b-44c456493fcc · outbound

This paper cites Exploring the Possibility of Testing the No-Hair Theorem with Minkowski-deformed Regular Hairy Black Holes Via Photon Rings.

Testing Extended Theories of Gravity via Black Hole Photon Rings Exploring the Possibility of Testing the No-Hair Theorem with Minkowski-deformed Regular Hairy Black Holes Via Photon Rings

Reference 29

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Observation 69f352fa-6d5b-413e-9e3a-905f9861ee0a · outbound

This paper cites Kerr-like Black Hole Surrounded by Cold Dark Matter Halo: The Shadow Images and EHT Constraints.

Testing Extended Theories of Gravity via Black Hole Photon Rings Kerr-like Black Hole Surrounded by Cold Dark Matter Halo: The Shadow Images and EHT Constraints

Reference 30

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Observation e171775d-affd-4530-ba24-d7f1e272dc06 · outbound

This paper cites Revisiting the shadow of Johannsen-Psaltis black holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Revisiting the shadow of Johannsen-Psaltis black holes

Reference 31

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source=pdf_text observed=2026-08-07T13:46:31.419295Z digest=sha256:8aa303becdda2f526a1dd6ac555fe810d38cb2112ca3d0df483e87a20adb46f3

Observation f1801d21-097d-4c8d-a98c-288576d96a13 · outbound

This paper cites Holographic images of a charged black hole in Lorentz symmetry breaking massive gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings Holographic images of a charged black hole in Lorentz symmetry breaking massive gravity

Reference 32

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no resolver link, observed 2026-08-07T13:46:31.516601Z

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Observation 9897ca92-a216-4d25-906a-9a75771f21fd · outbound

This paper cites Holographic Einstein rings of a Gauss-Bonnet AdS black hole.

Testing Extended Theories of Gravity via Black Hole Photon Rings Holographic Einstein rings of a Gauss-Bonnet AdS black hole

Reference 33

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unresolved
no resolver link, observed 2026-08-07T13:46:31.620655Z

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source=pdf_text observed=2026-08-07T13:46:31.620655Z digest=sha256:2ffcb1b2d4a0fedc2fe27f001b760f57b104c388f45f5d10c081196aacde6cfb

Observation 4591110d-c662-4418-b351-edd9ae3df7e3 · outbound

This paper cites QED and accretion flow models effect on optical appearance of Euler-Heisenberg black holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings QED and accretion flow models effect on optical appearance of Euler-Heisenberg black holes

Reference 34

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unresolved
no resolver link, observed 2026-08-07T13:46:31.714106Z

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source=pdf_text observed=2026-08-07T13:46:31.714106Z digest=sha256:0bfdb22482020367bf7a858a64743d59120072b81b595cab7d7d6419b4494d88

Observation 185d998e-86fd-4283-ab35-101ec15f8103 · outbound

This paper cites The Optical Appearance of Charged Four-Dimensional Gauss-Bonnet Black Hole with Strings Cloud and Non-Commutative Geometry Surrounded by Various Accretions Profiles.

Testing Extended Theories of Gravity via Black Hole Photon Rings The Optical Appearance of Charged Four-Dimensional Gauss-Bonnet Black Hole with Strings Cloud and Non-Commutative Geometry Surrounded by Various Accretions Profiles

Reference 35

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verified exact
local_arxiv, observed 2026-08-07T13:46:36.818058Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:31.782815Z digest=sha256:fc9da53fd0a692c01fcc92be8981aeadda0b2133da5f11770b29e35952b6fbf1

Observation 9d4e5ab2-bb9f-4f25-a40b-f8c9287da756 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 36

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source=pdf_text observed=2026-08-07T13:46:31.892149Z digest=sha256:45b77706044629a854a11f41ec701b263bb93c4654ddcb8c3e77ed98ec2cd974

Observation a5b8424b-1fb5-4dc8-8d7d-89926f6b2783 · outbound

This paper cites Photon Rings around Kerr and Kerr-like Black Holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Photon Rings around Kerr and Kerr-like Black Holes

Reference 37

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source=pdf_text observed=2026-08-07T13:46:31.983622Z digest=sha256:8de6cc3b8da68f073e93848dd47f69929f512f59106d786af1e7e6a13900a163

Observation 27020038-bec4-4eb2-bdea-e9ec9797361d · outbound

This paper cites Optical appearance of the Konoplya-Zhidenko rotating non-Kerr black hole surrounded by a thin accretion disk.

Testing Extended Theories of Gravity via Black Hole Photon Rings Optical appearance of the Konoplya-Zhidenko rotating non-Kerr black hole surrounded by a thin accretion disk

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.041530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.041530Z digest=sha256:416dd115328a180546072f523465be063b60de8367033798fbf4fd167a92bb14

Observation d317a413-7010-4dbc-b8ab-278efcc9788a · outbound

This paper cites The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions.

Testing Extended Theories of Gravity via Black Hole Photon Rings The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.120846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.120846Z digest=sha256:c9b3fe3178f779f098b1bf4d3a2aa514685b33147c02a8b449581c416c03ed82

Observation 35d3d7c3-69c6-4c3c-a17f-e26f782b6d37 · outbound

This paper cites Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.182789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.182789Z digest=sha256:cc3ccdb9fb0a9403029ed0bc0bfa5d8fea85f1758ed5c04ab319816032f6a4e8

Observation ba3d6214-c115-493e-a1c8-8da7b935b251 · outbound

This paper cites The Current Ability to Test Theories of Gravity with Black Hole Shadows.

Testing Extended Theories of Gravity via Black Hole Photon Rings The Current Ability to Test Theories of Gravity with Black Hole Shadows

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.261930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.261930Z digest=sha256:16d8c0522fc17bd8b44cf621182700a33f9e15c245d4aff38a486241b76d3d4d

Observation fe9b704f-a21f-4e78-9ee0-45acba8cc1aa · outbound

This paper cites Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.384606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.384606Z digest=sha256:395cc8e1ba0d9c8d781d1d15e304f31119ce9763634c5141dd807b1102e96ae6

Observation e8038146-a826-4c2d-80a2-6f8410fd354e · outbound

This paper cites Extended Theories of Gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings Extended Theories of Gravity

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.443212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.443212Z digest=sha256:2d6240282f27ab7e1ba53a21916f209e3f3b08adf5f4c2983cd7af42d148225a

Observation 3ee00399-cd39-44de-858e-02a8ec3662ce · outbound

This paper cites Modified gravity with $f(R) = \sqrt{R^2 - R_0^2}$.

Testing Extended Theories of Gravity via Black Hole Photon Rings Modified gravity with $f(R) = \sqrt{R^2 - R_0^2}$

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:36.372780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:32.532251Z digest=sha256:88e8d767c3b99b346525c33805ef703395571b95e7d32def15f1e4fd16db6f46

Observation 4832aba2-2f70-451a-a90c-b261e7383635 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:38.197904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:32.619261Z digest=sha256:425c514e40de14a13761c2ef355b428955fd6a5deef3e6d0a1553298344cf510

Observation c94a349b-86a9-4d70-9d87-8493e19aa742 · outbound

This paper cites Condensate cosmology -- dark energy from dark matter.

Testing Extended Theories of Gravity via Black Hole Photon Rings Condensate cosmology -- dark energy from dark matter

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:36.083643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:32.700248Z digest=sha256:eb7b4a70ddf5a8308a1ff72364ad3c817a708fa13c0c34985e7bc7c9879a6c57

Observation a119a8c6-65ec-4f74-8b72-1b2f0d7de855 · outbound

This paper cites On the weak field approximation of Brans-Dicke theory of gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings On the weak field approximation of Brans-Dicke theory of gravity

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:35.864604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:32.774229Z digest=sha256:e2a6b8768b3741bc7346fa37ea3d3a40f739360cb8e2c39fc8f65a2f7f9f7bb9

Observation e9e9e872-c175-4c90-aa12-ec35596c28b2 · outbound

This paper cites Brans and R.

Testing Extended Theories of Gravity via Black Hole Photon Rings Brans and R

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.849610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.849610Z digest=sha256:41695c1083dfa52675492fdda7ee0790894f8dff3bbd75cada5a8a2f645b2056

Observation 8d915647-c3be-48ba-a83d-877e42ed33e9 · outbound

This paper cites f(R) theories.

Testing Extended Theories of Gravity via Black Hole Photon Rings f(R) theories

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:32.950591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:32.950591Z digest=sha256:94341d3157f9fc004b70a5774405bb0eb8ab99f3b911f8e0db001e19e0a83c69

Observation 00a957d3-4bef-41b5-9e32-3ce8de6e78aa · outbound

This paper cites f(R) Theories Of Gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings f(R) Theories Of Gravity

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.060627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.060627Z digest=sha256:2f3d4fa1c55ca58ed8123ebc13b5dbf996ecbfea63ee574734c0bc64f1244003

Observation 1ad70dfa-aa33-44a8-823b-6c406b8f7765 · outbound

This paper cites Spherically symmetric spacetimes in f(R) gravity theories.

Testing Extended Theories of Gravity via Black Hole Photon Rings Spherically symmetric spacetimes in f(R) gravity theories

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.144175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.144175Z digest=sha256:1eaa33dae22ae19c1793d5cf251fc5b0de74fc0f553039c138cc9e8d01f80fec

Observation 29196d6f-c7bc-4ce6-bfe5-281d6df4a55b · outbound

This paper cites Damour and G.

Testing Extended Theories of Gravity via Black Hole Photon Rings Damour and G

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.200399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.200399Z digest=sha256:e0e7f45fa7edf535a4afb458857fdc13d32d19dbe96043b492d0c7a32ddda5c0

Observation 64e12676-aeaa-41bd-aa4e-0f28e5489435 · outbound

This paper cites f(R) Gravity and scalar-tensor theory.

Testing Extended Theories of Gravity via Black Hole Photon Rings f(R) Gravity and scalar-tensor theory

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.261562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.261562Z digest=sha256:2cf62d547c548ef96fb6645df923ad481de0eca039d7dcb3ac6a7632ab198ce0

Observation 88893cb9-0df4-41ce-816c-8199c1b65e4b · outbound

This paper cites Futamase, T.

Testing Extended Theories of Gravity via Black Hole Photon Rings Futamase, T

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:46:38.001857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:33.348026Z digest=sha256:97c873702f3062cded9d855386107ac624e571bdcbcf12a48496f2f2285140aa

Observation b078c1ad-765b-403c-8413-397d199a9876 · outbound

This paper cites Extended Theories of Gravity and their Cosmological and Astrophysical Applications.

Testing Extended Theories of Gravity via Black Hole Photon Rings Extended Theories of Gravity and their Cosmological and Astrophysical Applications

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.444896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.444896Z digest=sha256:0fc34a57b2b6a573cb4010cf73599aa47d8108cce11a5d05011859dd2cfd0ef3

Observation 81ce41fa-87b4-4693-ae9b-1e7aba656d38 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:37.838660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:33.541904Z digest=sha256:6b193bf9bda3271ad206e64d27fa845bb7be03f4a27427d887f5ac7392f4547d

Observation 0bf3bcc8-011c-40bb-a768-5b145b2cdbd1 · outbound

This paper cites an unresolved cited work.

Testing Extended Theories of Gravity via Black Hole Photon Rings Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:46:37.642090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:33.614242Z digest=sha256:a90313d2f0c41e1255f7c69df11a4b3a811c8b179a357d67170fea518458780c

Observation f3bf6cfb-0c46-4cda-b50d-cd2ad30942e5 · outbound

This paper cites General black-hole metric mimicking Schwarzschild spacetime.

Testing Extended Theories of Gravity via Black Hole Photon Rings General black-hole metric mimicking Schwarzschild spacetime

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:35.478358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:33.705605Z digest=sha256:953c19e45ddbbe66166d6a72888b000a45aa5c338c7069ba7c09bc964b79297f

Observation 5e7238f7-f00b-431f-9c88-97d77dbbce0b · outbound

This paper cites Tachyonic instability and spontaneous scalarization in parameterized Schwarzschild-like black holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Tachyonic instability and spontaneous scalarization in parameterized Schwarzschild-like black holes

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.792520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.792520Z digest=sha256:549e2caf5e3f7ef3b61ca78c5297cb09031d2be3f17d465da0c0142a4ad17467

Observation e79e413b-8aea-47a4-94d9-6cebf9f1811b · outbound

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

Testing Extended Theories of Gravity via Black Hole Photon Rings Photon Spheres and Spherical Accretion Image of a Hairy Black Hole

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.878488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.878488Z digest=sha256:2c8028024bcc37a294867c4f7c156b8cacd335c7b997bd8c4c06314b292b7e37

Observation 8289e16e-66a9-4a43-9ac9-5bba0db20d44 · outbound

This paper cites Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings.

Testing Extended Theories of Gravity via Black Hole Photon Rings Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:33.991705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:33.991705Z digest=sha256:afa5f6d81c83c05823455ef1e3e8356ef53c6393a3f934ce14828396f0f533d1

Observation fd29b46c-6cad-49c7-a6a6-3909c2485de9 · outbound

This paper cites Shadow and stability of quantum-corrected black holes.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shadow and stability of quantum-corrected black holes

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:34.112181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:34.112181Z digest=sha256:70a7c75b71c082beeed171d84030f76b05ab91b892e98c97463bf1fbe586473d

Observation e289e8bc-a986-497b-a6c8-1ac05ade56b1 · outbound

This paper cites New parametrization for spherically symmetric black holes in metric theories of gravity.

Testing Extended Theories of Gravity via Black Hole Photon Rings New parametrization for spherically symmetric black holes in metric theories of gravity

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:34.203455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:34.203455Z digest=sha256:79d0ffd90cee77d17e1cffe41a90bee7f492ad138e70aa9a0cc0c0604dcca830

Observation bdfb76af-a19a-43c5-aa1a-acb83b575169 · outbound

This paper cites First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole.

Testing Extended Theories of Gravity via Black Hole Photon Rings First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:34.287454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:34.287454Z digest=sha256:9f0ddb736e32ff8f4c532d9843734aa598f3e48ea7556163d84bb68990c29066

Observation bbdd7c17-ab77-4c4f-81e7-603c180a73b8 · outbound

This paper cites Shadows, Quasinormal Modes, and Optical Appearances of Black Holes in Horndeski Theory.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shadows, Quasinormal Modes, and Optical Appearances of Black Holes in Horndeski Theory

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:46:35.146270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T13:46:34.442915Z digest=sha256:df23c410405172721a5da55f0c6322b008ed90ec8cb1d143b992bddf585df61d

Observation 49cc39fb-f825-4560-94a8-2495da32d74f · outbound

This paper cites Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole.

Testing Extended Theories of Gravity via Black Hole Photon Rings Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:34.611116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:34.611116Z digest=sha256:f3eee8acc7595ad7e8811f889390c02ad586e1df4cbaf9ce7057d4e987ffb75b

Observation 78bbe0ea-daa5-4fef-8712-815e37c6503c · outbound

This paper cites Shadows and rings of the Kehagias-Sfetsos black hole surrounded by thin disk accretion.

Testing Extended Theories of Gravity via Black Hole Photon Rings Shadows and rings of the Kehagias-Sfetsos black hole surrounded by thin disk accretion

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-07T13:46:34.754924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:46:34.754924Z digest=sha256:33ea415eeb6e3f91a1d5f79aac9b65c1478f1be73127c2c66d64a8d9043fd881

Pith citing papers

No inbound Pith citation observations are available.