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Paper Citation Record · LEDGER

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes

As of 12 August 2026, this Paper Citation Record lists 100 of 163 outbound references and 3 inbound Pith citation observations for arXiv:2411.19048.

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

pith.paper-citation-record.v1
2411.19048 v2

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measured 100 of 163 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T10:45:04.822144Z

measured 103 of 103 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:37:43.747771Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T19:50:09.855579Z

Reference resolution

100 of 163 outbound references displayed

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Outbound references

Observation 0cf657f9-8d06-45d6-a06d-a5282013b4e0 · outbound

This paper cites Einstein, The Foundation of the General Theory of Relativity, Ann.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Einstein, The Foundation of the General Theory of Relativity, Ann

Reference 1

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Observation bd184c6b-8934-46f5-88f7-8ae6355af7bd · outbound

This paper cites Akiyama et al.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Akiyama et al

Reference 2

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Observation 2474d1f0-d656-440a-b2fc-2c39f38c696b · outbound

This paper cites Akiyama et al.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Akiyama et al

Reference 3

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This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 4

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Observation 1b212443-ba73-41dd-999b-0c7bd9ebc551 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 5

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Observation d4688d7c-2a4b-46d1-ad6b-2dcbb578bc8b · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 6

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Observation 1070273d-59a0-4344-9fc7-34228debb862 · outbound

This paper cites Perlmutter et al., Measurements of Ω and Λ from 42 High-Redshift Supernovae, Astrophys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Perlmutter et al., Measurements of Ω and Λ from 42 High-Redshift Supernovae, Astrophys

Reference 7

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Observation 330d8b1d-9aab-4206-b466-e435f3ada3da · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 8

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Observation 269d6096-058c-423f-ad4e-9ac4d454d3f1 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 9

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Observation 0943ae33-ed46-45c9-8494-e7d9d1000791 · outbound

This paper cites Parbin and U.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Parbin and U

Reference 10

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Observation c7f6a423-781c-4a11-89af-f1eaae8f9d8e · outbound

This paper cites Mohan and U.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Mohan and U

Reference 11

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Observation ba05a9a1-cadc-4828-a070-7a6403618efb · outbound

This paper cites Mohan and U.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Mohan and U

Reference 12

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Observation 484c21c8-ed28-44d4-94e0-52737caee013 · outbound

This paper cites Bertone and D.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Bertone and D

Reference 13

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Observation 74563ed7-8c51-4000-a62b-73be9237d32e · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 14

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Observation b4ac1484-46c6-4544-b7c2-955837d7804c · outbound

This paper cites Garrett and G.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Garrett and G

Reference 15

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This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 16

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Observation c419392e-cf23-40f3-ab4d-c9a089ea852e · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 17

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Observation b8c6e661-35d0-47e9-a308-1b08f4db3254 · outbound

This paper cites Clifton et al., Modified Gravity and Cosmology, Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Clifton et al., Modified Gravity and Cosmology, Phys

Reference 18

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Observation 7a14a619-b1fb-45cc-8172-666252326dd6 · outbound

This paper cites Alternative Theories of Gravity.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Alternative Theories of Gravity

Reference 19

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Observation bea56dcb-f4e2-4636-8b44-999c3e2daa46 · outbound

This paper cites Capozziello and M.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Capozziello and M

Reference 20

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Observation d39c5802-1ef6-4fad-91e4-2b5d256711dc · outbound

This paper cites Nojiri and S.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Nojiri and S

Reference 21

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Observation fbfc68fd-9043-4db7-b712-fa75dc239ddd · outbound

This paper cites Nojiri and S.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Nojiri and S

Reference 22

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Nojiri, S

Reference 23

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Observation b6542a5c-19a0-4e16-bc73-fadabcf7582c · outbound

This paper cites Faraoni,Cosmology in Scalar-Tensor Gravity, Fundam.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Faraoni,Cosmology in Scalar-Tensor Gravity, Fundam

Reference 24

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This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 25

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Observation f0d22d03-d857-4f30-9373-9ce45c73155e · outbound

This paper cites Bahamonde, C.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Bahamonde, C

Reference 26

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Observation a6c3e220-518d-4681-b111-a8f144ada3bd · outbound

This paper cites Bahamonde et al., Teleparallel Gravity: From Theory to Cosmology, Rep.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Bahamonde et al., Teleparallel Gravity: From Theory to Cosmology, Rep

Reference 27

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Observation 423a85e0-73d6-47ff-8885-974c1624f636 · outbound

This paper cites Canfora et al., General Relativity from Einstein-Gauss-Bonnet Gravity, Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Canfora et al., General Relativity from Einstein-Gauss-Bonnet Gravity, Phys

Reference 28

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 29

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Observation 3ebbc65a-006d-47b2-88ef-9c95e97fbb5f · outbound

This paper cites De Felice and S.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes De Felice and S

Reference 30

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 31

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Observation 980d2a37-fb56-438f-ae3a-cad0f505c605 · outbound

This paper cites Vikram et al., Astrophysical Tests of Modified Gravity: Stellar and Gaseous Rotation Curves in Dwarf Galaxies , Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Vikram et al., Astrophysical Tests of Modified Gravity: Stellar and Gaseous Rotation Curves in Dwarf Galaxies , Phys

Reference 32

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 33

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Observation c88bfbe0-cd30-43fb-b90d-736a77be5e9d · outbound

This paper cites Parbin and U.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Parbin and U

Reference 34

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Observation 4441511c-7c30-4ca3-a8cd-b3168610c263 · outbound

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 35

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Observation 22608fbd-86af-4bed-916e-9c96d9b8967f · outbound

This paper cites Li and M.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Li and M

Reference 36

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Observation cdc4316c-e137-4f1b-a8d5-be033e2b7b4f · outbound

This paper cites Possible wormholes in $f(R)$ gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Possible wormholes in $f(R)$ gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect

Reference 37

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Observation f5f70df4-c4c2-408b-a44c-fc2e5c1cb40e · outbound

This paper cites Guilabert et al., Static and Spherically Symmetric Vacuum Spacetimes with Non-Expanding Principal Null Directions in f(R) Gravity, Eur.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Guilabert et al., Static and Spherically Symmetric Vacuum Spacetimes with Non-Expanding Principal Null Directions in f(R) Gravity, Eur

Reference 38

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Observation 4631dc3d-7a37-44f3-b318-7e755d7d57c7 · outbound

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Talukdar and S

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source=pdf_text observed=2026-08-12T10:45:04.648118Z digest=sha256:66412a92bd250bffe7fddc2e4d0f5d26f690566f0bd8cbf825215f43485584c5

Observation c3d3fcc2-9457-4b72-89d8-431c9894e8d0 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.650871Z digest=sha256:bd459e30e9c29ee5e0d856316d8f7cdd20ee3ba4ed116df9af19cc84f3b9f430

Observation 1eda5447-1969-4570-bddc-f3e12eec162d · outbound

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Observation 0d357dfd-6ca3-4f90-b944-bb5632340928 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.656673Z digest=sha256:e7d9d35de6dd1818e169436b8becfd5f9b45a90b8910feed94b59645390f48f1

Observation 54fb8e9d-db05-41d8-b269-a10ca7af35df · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.659482Z digest=sha256:a8dcd7dee18287d0d305dc8a403f175e90ef86e351d297241649aae25f49aecc

Observation d98b6a1c-a2c6-4c51-a2b9-efd5b4f30583 · outbound

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Katsuragawa and S

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source=pdf_text observed=2026-08-12T10:45:04.662306Z digest=sha256:c0c8e8e2f0ba70265e75297c97a727a4eaf41c78a14cca4d436cc4d94568b723

Observation 3a49a798-a178-432f-93ee-15b95f774fe8 · outbound

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Katsuragawa, S

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source=pdf_text observed=2026-08-12T10:45:04.664969Z digest=sha256:e21ab0134099fffdb474b92e376f17a3bbe1e34e287fc4de11d0fe7e3f80f919

Observation c5bd74a4-f9da-4723-9dc6-d8db410cd488 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.667780Z digest=sha256:83cd64a20f92d373cfb7e6b641308f80dd3392568466ced15c75ee35fea581b3

Observation 2c0cbd31-50ca-47af-8148-18b3a31d181a · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

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source=pdf_text observed=2026-08-12T10:45:04.670556Z digest=sha256:9a56a985b3442843fcdc542acf9e77e50cda5c7fff1ab7ed520e9baa5a258750

Observation e5b38d0c-1828-4242-a61f-182b5bffaf6f · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-12T10:45:04.673314Z digest=sha256:9e8c08d32e594ea6bcec44ea2b3d44af64cfb393c7f8a612e01f64a0dfd1f7ae

Observation 9312fd6e-64df-46de-a5c3-92a6dd92d4ab · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.676083Z digest=sha256:fa39f9cfd888792d73ec9c307acaf442fa49da287d4a938f52d1bcfa145c0e76

Observation 0fd4ce34-ef09-4975-b28e-5d02aeb1d920 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.679080Z digest=sha256:96dacad41ebab83007e1ed3d1ac296f78381caa8d6a4a7fa976282254916b2f1

Observation d466fa91-8bc2-446d-8fc3-8517d080fa44 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.681904Z digest=sha256:5a9fbcca9aa2995b9abfe3770674bd2e11f74288c9ad71631ca3dbc1c9ae04c4

Observation b56bb276-0cc9-4db2-bb40-65a8858ee83c · outbound

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source=pdf_text observed=2026-08-12T10:45:04.684743Z digest=sha256:257672e43ab5d591cf8a51bf9eabd1a12bf4b25cfad23fd4787dacb6f1f837ea

Observation e4b3d54b-392e-4f57-b46d-09ea99d89fbd · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.687677Z digest=sha256:c7ca197a898e6b70bf035a3afb73db64c26fde829e7a4cc8a4c716d1fef0e4e0

Observation 742ed93e-7c34-40ee-aa9f-a7a6e9d4b63d · outbound

This paper cites an unresolved cited work.

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Reference 54

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source=pdf_text observed=2026-08-12T10:45:04.690398Z digest=sha256:1a92a0560ca9ced5a08698ff7cddb2db075a812c701b901faa94974a019285e9

Observation 0fadfa17-7594-4d47-ad5d-bdf836b13c26 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.693233Z digest=sha256:44bbe2165a4002ab3d92e795f3f7f5f84b2d5bdc7d61482b98e38eb7e4dfdb20

Observation a2140bd8-b40a-4aac-bbf0-eab7727e8b63 · outbound

This paper cites an unresolved cited work.

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Reference 56

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source=pdf_text observed=2026-08-12T10:45:04.696194Z digest=sha256:fbe4529236de58e818def04a29805bbaafe2e959a081388cd1ceb747cfb5ab5d

Observation 833fcd32-6604-4533-ad7e-9d6df3bed52d · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 57

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source=pdf_text observed=2026-08-12T10:45:04.699021Z digest=sha256:d867c7a28b48491c3e9dff13043e4cef249283262ef1b95ea1ea682e56dde48d

Observation ba4a9a78-de4c-4ad0-aa18-1678926dd0bc · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

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source=pdf_text observed=2026-08-12T10:45:04.701952Z digest=sha256:281745e632a9f33e09376e4c1a5589b5899628a5fcbcd0c92dda05f0f062e956

Observation 1605a2f5-e30d-4e24-bfc9-8c183b8c6250 · outbound

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Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Kumar, S

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source=pdf_text observed=2026-08-12T10:45:04.704816Z digest=sha256:e5003ba57efd29dd4e44518d7c9d32de582faec960872537b64ef85c05a190ae

Observation 210f9537-b6d6-40d1-bdaf-ce3e2be591c6 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.707967Z digest=sha256:769f5ef8306407aa1c271445aa8df9b4e0c331a220b38a999d40edfe8543a271

Observation c4f87e1d-9941-42a2-8909-0b9670d81100 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.710575Z digest=sha256:16dcc7ba17a1c2f419c9a5bac7ebe97f6bbcb6978729de99b56510852034b41c

Observation 63644196-5179-4405-b768-b20b4aeaaa20 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.713384Z digest=sha256:7dfb4663b52762a0dbc37952d1b71d02cd7bd54ae87c52373f20317502fe5701

Observation a4981c09-6e77-4e93-b01e-68ef85d8f413 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.716241Z digest=sha256:72f194914e079c81c0fe2b5327330911e8bbf9d39ea5cebcc5038091382c4c02

Observation 5973aba9-e7d3-42cc-8385-dda96b6b4a53 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.719274Z digest=sha256:22a0b90ec144f6d9f41b6d6dd755257ac9f19a9bc7f63dbd8c04ff3dba3a0742

Observation 0a44fdff-fcdc-4cb9-8eba-f1b5cbaa03e1 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-12T10:45:04.722059Z digest=sha256:aa8f2f4ba9990a0407804d06db2f51b0ee332b48092caa486b8faf10a043ff74

Observation 9bb9ea90-5baa-4f49-b2d9-4aa291f32cdd · outbound

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source=pdf_text observed=2026-08-12T10:45:04.725084Z digest=sha256:5dac76a7f43fa82f5e09b4b2ee2b27734bb452703b60ba8c4ec1a10330737527

Observation b073ea93-d70e-4c54-aac4-f3e8d766f436 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.728100Z digest=sha256:3891383b72f9a486f45e85918415b74f81c49595dca767aa2cd991ce09fe3be8

Observation 65682670-689c-447d-9316-d9754f10ca32 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.731016Z digest=sha256:5b097d70ab00508dfed4aeb56fd0cb39c91de7a6b735276b61694e703c23ae1a

Observation 985d262e-5ef8-4c4a-880f-5c502a49c5d7 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.733996Z digest=sha256:9ef226760514dcb323cafdfdac6d94e81dbcb63a27fce2efb7b8f388f9481428

Observation d54bd197-a242-48ea-b9ae-8838be098254 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.736872Z digest=sha256:646af9497a9773cee965337a1d8c9ec8b1c5175304c9b3b3f8b56dac3704dc01

Observation bfc820ab-1eed-438f-85ce-5f33b208d77a · outbound

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source=pdf_text observed=2026-08-12T10:45:04.739786Z digest=sha256:e4ed97cc6cbfff808153fc50ce16c1f2fb168094cc0800f2a7848f63867d5996

Observation 15037b6e-e568-4b71-86f0-ee6701223d25 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.742634Z digest=sha256:ce7598da88dc248784ccf67e32b73958dd6a6eb9d4ba41fe41516fa612be10c9

Observation 73aebc4b-ea67-4331-9208-35e25ebcc066 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.745403Z digest=sha256:bf6a02d9847b320081d5ac97aabff9ed43b94e820d9835a6e9d96c78fe54f8e1

Observation 45c9f66e-fe14-467b-a558-96a355273f82 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.748380Z digest=sha256:cd0441202020c10425acacc3b639b1c487a6e3d788f0d83aedb65eedd5d8e26d

Observation b7bbb297-e0f8-4974-9fd7-06ef8aeba396 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.751211Z digest=sha256:cd88f932e92a708b8680cd32d8e98446dc99a8eb73d3f1892ff1d3a886001a19

Observation 568fd773-d879-4e2e-8d6e-506f10821143 · outbound

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source=pdf_text observed=2026-08-12T10:45:04.753951Z digest=sha256:8fc7a965f91b2686ff43209d2582ba6339c0b50ba616352bf3d20d3f8f81e0aa

Observation a9a485d4-d4ce-4633-ac81-24a92fbca67d · outbound

This paper cites an unresolved cited work.

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Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.756781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.756781Z digest=sha256:b1b1927b47d609c0131be0e7c240e5a2172a3b7167a398e9ecdf21c7c4b8c4a5

Observation b2655bdd-0d3b-4eb7-a70d-b80389b9fb0b · outbound

This paper cites Ding et al., Strong Gravitational Lensing in a Noncommutative Black-Hole Spacetime, Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Ding et al., Strong Gravitational Lensing in a Noncommutative Black-Hole Spacetime, Phys

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.759663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.759663Z digest=sha256:d62e328353211a9f37235e5a1471a13f792bfc9536b46c0a55436ed7bf8d7fa4

Observation c8a7a358-2fb5-4efd-951d-25cb56d23123 · outbound

This paper cites Sotani and U.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Sotani and U

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.762494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.762494Z digest=sha256:38bb8ff116174cd1d1ef817a590b1946a3794a55d2eb5156b7c922a50c8c05b2

Observation 378223ed-bf17-4bee-a42f-b271bf498170 · outbound

This paper cites Tsukamoto, Affine Perturbation Series of the Deflection Angle of a Ray near the Photon Sphere of a Reissner-Nordstr¨om Black Hole, Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Tsukamoto, Affine Perturbation Series of the Deflection Angle of a Ray near the Photon Sphere of a Reissner-Nordstr¨om Black Hole, Phys

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.765269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.765269Z digest=sha256:76b590edbb3c1d44116d11167bfaf1196b7d1698eede440fff2192ab3684d0e0

Observation eed90e8a-5b1d-4b2b-a19b-162c8e861e0d · outbound

This paper cites Tsukamoto, Gravitational Lensing by Using the 0th Order of Affine Perturbation Series of the Deflection Angle of a Ray near a Photon Sphere, EPJC 83, 284 (2023).

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Tsukamoto, Gravitational Lensing by Using the 0th Order of Affine Perturbation Series of the Deflection Angle of a Ray near a Photon Sphere, EPJC 83, 284 (2023)

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.767963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.767963Z digest=sha256:351dbf65e9d331015758cc3620e87ec9f2a0f6e3d17224da40d54b4ea9bca389

Observation de4f339c-92df-4477-bcf2-e86d214df781 · outbound

This paper cites Chowdhuri, S.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Chowdhuri, S

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.770942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.770942Z digest=sha256:0655205db16e970138ee9b86d04394fc7028e98cc53c26b5c5cbc8c041183bbc

Observation d9c1208c-fe73-4927-9058-f0c9a843324d · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.773711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.773711Z digest=sha256:43cd53ee4a61deaa2b157b26e97201f63c95253a83bed0acd51aef1f4d4bae0f

Observation a22f8aef-10c0-4552-94ef-4141d2293144 · outbound

This paper cites Mustafa and S.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Mustafa and S

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-12T10:45:04.776518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:45:04.776518Z digest=sha256:9b17561f9fbb1cf7abcd648444c464d85fa55d352ac803862edad83894804d5c

Observation af755010-0b45-4d59-aa51-ba1b18b6eab8 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 85

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.700747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.779322Z digest=sha256:8ebd01b9665b6cc90c86b68712ab4f08947c4fd79aa853ade8fff1a41a3395ac

Observation 50226d4b-78aa-4cad-9273-dbf3e95086e3 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 86

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.692783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.782007Z digest=sha256:994d7706fccc8b98213e82ce34c8682e7e06a2ed0fe0229cb6928c626adba618

Observation ae398f46-c68f-4024-8d0d-3569f7a7c699 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.684463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.784843Z digest=sha256:77fc417ce72fbc0600e5b01e85525311fe6a56ea11784baca9f800e7ba83eeda

Observation 68e95df4-6b06-46e6-b6f7-3a99d0424c90 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.676546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.787742Z digest=sha256:85d76dd3504c94af2a8a78077985c2b11c6f16f1d86082643348c260a1b15242

Observation 9d88559f-9ba9-4d18-803c-9ec85941614a · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 89

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.668355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.790375Z digest=sha256:daf9a66f1a93e349bce568eee19509f53e015393fc60f5b0ec36891af1f9d888

Observation 0fe96aca-0ae6-4bac-bf3f-27d02ec45481 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 90

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.660289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.793353Z digest=sha256:aeff74dfb14b842738ab5f2357a7a8f1671686f2db41744c9191edd81989fa42

Observation dd75db11-c0ae-43b5-8b39-9b813e47dafa · outbound

This paper cites Bozza and L.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Bozza and L

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:45:05.652139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.796223Z digest=sha256:7cd2c69de97d9c8a9b5521da6b6f8c35f217d4b762ea82523ea2c397e21ee353

Observation fdeea991-6dd7-4c0f-bfaa-f8dd2f6e5229 · outbound

This paper cites Hsieh, D.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Hsieh, D

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:45:05.644148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.799106Z digest=sha256:9667e8306255e991951fc001177c880f922f92550120280457c972b7f968bde3

Observation ffcfc350-5d77-4e95-ad70-d4eb3574b71c · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 93

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.636096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.801963Z digest=sha256:bef1e530b5335fa55c056bd8d690b8cf3a3fb85c40a2920e2e60d6e67ce9d8c4

Observation b87d7428-83d1-4042-8236-58ce8ab6b126 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 94

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.628270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.805076Z digest=sha256:34e6d8863b8372f8f158863ea34c02f9f7edfc7792df43216d54188e6a60b441

Observation d2d988d7-eccf-4172-afe6-59f7d0e488a6 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 95

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.620123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.807897Z digest=sha256:7bf9ac57b0744b1bc7d7bfdc936eb6e44d123d93b4014de8f0fdd62bd02d065f

Observation 11d5111f-6202-4853-95d5-7b9d79219cc4 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 96

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.612024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.810575Z digest=sha256:f2bd9542e09a15be0df69af934b16aff81035bc24c5691d732a68124ccc01864

Observation b9041a55-0d5e-468a-ab17-e40c7c5bddaf · outbound

This paper cites Zhu et al., Shadows and Deflection Angle of Charged and Slowly Rotating Black Holes in Einstein-Æther Theory, Phys.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Zhu et al., Shadows and Deflection Angle of Charged and Slowly Rotating Black Holes in Einstein-Æther Theory, Phys

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:45:05.604041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.813326Z digest=sha256:4ec93f9c1cfe3bb5d5dcccdd9ccdd317e33375f182b0d93d2e7932c576c8d202

Observation 3e402b76-ee46-4246-ad78-ba6385482295 · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.595801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.816253Z digest=sha256:30e56183fe9a7c60fc3b7bf9891ed6f8269201311c5ba6411316614b6cc919ab

Observation 960293e7-df63-432f-996d-d94de99db30d · outbound

This paper cites an unresolved cited work.

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Unresolved cited work

Reference 99

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:45:05.587732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.819150Z digest=sha256:e77a8050f8c73c633ea7d7dbe6dc24ae297df22c6687012505d71778a8a5ccea

Observation 584bd3a4-7171-4177-a562-d11ad897ba15 · outbound

This paper cites Klingenberg, A Course in Differential Geometry, Springer-Verlag, New York, (1978).

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes Klingenberg, A Course in Differential Geometry, Springer-Verlag, New York, (1978)

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:45:05.579816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T10:45:04.822144Z digest=sha256:5946406a3623c85ee3dde54775275861267ca396be18c97b065395503ff4ff2a

Pith citing papers

Observation 6a4e75a7-b0c7-4cb9-ae28-644f627db9b8 · inbound

Effects of gravitational lensing on neutrino oscillation in Hu-Sawicki f(R) gravity cites this paper.

Effects of gravitational lensing on neutrino oscillation in Hu-Sawicki f(R) gravity Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T21:37:43.747771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:37:43.747771Z digest=sha256:ec49d6501a938a5a0a4a11c1050a37ce5988f053bf800291b52e43f7a89ab0cc

Observation cf697e41-53ab-422a-a2a2-41514ad73cee · inbound

Shadow dependent phenomenology framework for rotating black hole metric cites this paper.

Shadow dependent phenomenology framework for rotating black hole metric Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:51:09.314427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T10:57:44.472226Z digest=sha256:65084789a10d22f19fc4d33917eea102be6df498ad6470aa850410774c3ce60a

Observation 110c4e69-9e33-4bd3-b3b1-401dfc26da9b · inbound

Shadow dependent phenomenology framework for rotating black hole metric cites this paper.

Shadow dependent phenomenology framework for rotating black hole metric Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:50:09.857653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-04T19:48:04.871864Z digest=sha256:01893c0b7523452e8402b1ce49b856fb363c5f7e1b97e08af10a897b2ebe3d3d