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Paper Citation Record · LEDGER

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method

As of 16 August 2026, this Paper Citation Record lists 83 of 83 outbound references and 0 inbound Pith citation observations for arXiv:2608.11456.

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

pith.paper-citation-record.v1
2608.11456 v1

Coverage vector

measured 83 of 83 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

83 of 83 outbound references displayed

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External citation measurements

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Outbound references

Observation f805831b-7f4f-44b2-9b45-1014c1f91f9e · outbound

This paper cites Physical Review Letters119(25), 251102 (2017) https://doi.org/10.1103/physrevlett.119.251102.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review Letters119(25), 251102 (2017) https://doi.org/10.1103/physrevlett.119.251102

Reference 1

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Observation 1f977956-8e08-481e-be62-c0d99b1c490d · outbound

This paper cites Physical Review Letters 124(18), 181101 (2020) https://doi.org/10.1103/physrevlett.124.181101.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review Letters 124(18), 181101 (2020) https://doi.org/10.1103/physrevlett.124.181101

Reference 2

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Observation afbd053d-a1bd-4ed5-94cc-e1381f5697cf · outbound

This paper cites Physical Review D102(6), 064039 (2020) https://doi.org/10.1103/physrevd.102.064039.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D102(6), 064039 (2020) https://doi.org/10.1103/physrevd.102.064039

Reference 3

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Observation fa0339b6-f7fe-4cf3-8597-81b3b11b4210 · outbound

This paper cites Physical Review Letters130(6), 061401 (2023) https://doi.org/10.1103/ physrevlett.130.061401.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review Letters130(6), 061401 (2023) https://doi.org/10.1103/ physrevlett.130.061401

Reference 4

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Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Unresolved cited work

Reference 5

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Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Unresolved cited work

Reference 6

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Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Unresolved cited work

Reference 7

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Observation 49bf3f60-3d40-45cd-b028-610b8cebd2bb · outbound

This paper cites Physical Review D100(2), 024018 (2019) https://doi.org/10.1103/physrevd.100.024018.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D100(2), 024018 (2019) https://doi.org/10.1103/physrevd.100.024018

Reference 8

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This paper cites Physics Reports 947, 1–39 (2022) https://doi.org/10.1016/j.physrep.2021.10.004.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics Reports 947, 1–39 (2022) https://doi.org/10.1016/j.physrep.2021.10.004

Reference 9

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Observation 7212c392-9ec8-49f9-844a-9b6e3d21e8f6 · outbound

This paper cites Classical and Quantum Gravity40(16), 165007 (2023) https://doi.org/10.1088/1361-6382/acd97b.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Classical and Quantum Gravity40(16), 165007 (2023) https://doi.org/10.1088/1361-6382/acd97b

Reference 10

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This paper cites Science China Physics, Mechanics & Astronomy66(6), 260401 (2023) https://doi.org/10.1007/s11433-022-2059-5.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Science China Physics, Mechanics & Astronomy66(6), 260401 (2023) https://doi.org/10.1007/s11433-022-2059-5

Reference 11

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Observation a2ed2ca1-dd51-47c3-9d29-ca22ede044fc · outbound

This paper cites Journal of Cosmology and Astroparticle Physics2013(11), 063–063 (2013) https://doi.org/10.1088/1475-7516/ 2013/11/063.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Journal of Cosmology and Astroparticle Physics2013(11), 063–063 (2013) https://doi.org/10.1088/1475-7516/ 2013/11/063

Reference 12

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Observation 67687bc4-a2b1-4428-a1a3-2e72400994e6 · outbound

This paper cites Physical Review D62(8), 084003 (2000) https://doi.org/10.1103/physrevd.62.084003.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D62(8), 084003 (2000) https://doi.org/10.1103/physrevd.62.084003

Reference 13

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Observation c4d35ac7-77a4-4921-8dab-3b9fe11119ed · outbound

This paper cites Physical Review D66(10), 103001 (2002) https://doi.org/10.1103/physrevd.66.103001.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D66(10), 103001 (2002) https://doi.org/10.1103/physrevd.66.103001

Reference 14

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Observation 1db745f9-3c30-4391-b626-c7b493ba0949 · outbound

This paper cites General Relativity and Gravitation39(10), 1563–1582 (2007) https://doi.org/10.1007/ s10714-007-0481-8.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation39(10), 1563–1582 (2007) https://doi.org/10.1007/ s10714-007-0481-8

Reference 15

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This paper cites Physical Review D95(6), 064035 (2017) https://doi.org/10.1103/ physrevd.95.064035.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D95(6), 064035 (2017) https://doi.org/10.1103/ physrevd.95.064035

Reference 16

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Observation 64105351-6209-4c59-8abf-b27e54acd31d · outbound

This paper cites Physical Review D79(6), 064016 (2009) https://doi.org/10.1103/physrevd.79.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D79(6), 064016 (2009) https://doi.org/10.1103/physrevd.79

Reference 17

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Observation 41ade535-3b0b-41e5-b9a8-6c7477c0e457 · outbound

This paper cites Physical Review D90(4), 044069 (2014) https://doi.org/10.1103/physrevd.90.044069.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D90(4), 044069 (2014) https://doi.org/10.1103/physrevd.90.044069

Reference 18

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This paper cites Physical Review D86(10), 104006 (2012) https: //doi.org/10.1103/physrevd.86.104006.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D86(10), 104006 (2012) https: //doi.org/10.1103/physrevd.86.104006

Reference 19

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This paper cites Physical Review D104(8), 084044 (2021) https://doi.org/10.1103/physrevd.104.084044.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D104(8), 084044 (2021) https://doi.org/10.1103/physrevd.104.084044

Reference 20

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Observation c93ad7d3-6eb4-4cf2-afe2-8c056b24a6df · outbound

This paper cites Cambridge University Press, Cambridge (2021).

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Cambridge University Press, Cambridge (2021)

Reference 21

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This paper cites General Relativity and Gravitation50(4), 42 (2018) https://doi.org/10.1007/s10714-018-2361-9.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation50(4), 42 (2018) https://doi.org/10.1007/s10714-018-2361-9

Reference 22

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This paper cites Physical Review D107(6), 064006 (2023) https://doi.org/10.1103/physrevd.107.064006.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D107(6), 064006 (2023) https://doi.org/10.1103/physrevd.107.064006

Reference 23

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This paper cites Physics Letters B, 140712 (2026) https://doi.org/10.1016/j.physletb.2026.140712.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics Letters B, 140712 (2026) https://doi.org/10.1016/j.physletb.2026.140712

Reference 24

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Observation a4aa37f2-a4a3-464a-898a-f729ea78a64d · outbound

This paper cites Lyapunov Exponents to Test General Relativity.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Lyapunov Exponents to Test General Relativity

Reference 25

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This paper cites Physical Review D106(2), 084060 (2022) https://doi.org/10.1103/physrevd.106.l021501.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D106(2), 084060 (2022) https://doi.org/10.1103/physrevd.106.l021501

Reference 26

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This paper cites Physical Review D106(8), 084060 (2022) https://doi.org/10.1103/physrevd.106.084060.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D106(8), 084060 (2022) https://doi.org/10.1103/physrevd.106.084060

Reference 27

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This paper cites https://doi.org/10.48550/arXiv.2512.20802.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method https://doi.org/10.48550/arXiv.2512.20802

Reference 28

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This paper cites Classical and Quantum Gravity39(22), 225007 (2022) https://doi.org/10.1088/1361-6382/ac987e 16.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Classical and Quantum Gravity39(22), 225007 (2022) https://doi.org/10.1088/1361-6382/ac987e 16

Reference 31

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This paper cites Physical Review D111(6), 064001 (2025) https://doi.org/10.1103/physrevd.111.064001.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D111(6), 064001 (2025) https://doi.org/10.1103/physrevd.111.064001

Reference 32

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This paper cites The European Physical Journal C85(11), 1266 (2025) https://doi.org/10.1140/epjc/ s10052-025-15009-9.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method The European Physical Journal C85(11), 1266 (2025) https://doi.org/10.1140/epjc/ s10052-025-15009-9

Reference 33

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Unavailable: canonical work link unavailable.

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Observation d5ba64fd-04fa-4030-ba57-0b44166f765c · outbound

This paper cites The European Physical Journal C85(3), 299 (2025) https://doi.org/10.1140/epjc/s10052-025-14046-8.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method The European Physical Journal C85(3), 299 (2025) https://doi.org/10.1140/epjc/s10052-025-14046-8

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.512036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.512036Z digest=sha256:232631dbefbf0fe5ba74e05125026bb738ea738e8913097fc5e13cb1b7f49298

Observation f248dedf-c536-486e-9d44-3d483cbd1cd3 · outbound

This paper cites Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.515983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.515983Z digest=sha256:4a57aaca943d5ebacbd586905ce82112ffa627565a8fadf64baac7fa14c55b8a

Observation 1fb86053-191b-47fb-9b31-f153ae1f1473 · outbound

This paper cites https://doi.org/10.48550/arXiv.2606.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method https://doi.org/10.48550/arXiv.2606

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.521820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.521820Z digest=sha256:b5d7d07f01b305cbbf766813b90dd43ca1be146ce713863d2ba7495158a21bdb

Observation b0d3d8f2-f05e-405b-92c1-2761adf962e2 · outbound

This paper cites https://doi.org/10.48550/arXiv.2511.04236.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method https://doi.org/10.48550/arXiv.2511.04236

Reference 37

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.290855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.526217Z digest=sha256:ce4869b71743d392e01de7020649187e6dabd8b40380989a78065d9b64c7f4fa

Observation 9a7ad190-bfbc-42f0-9575-cb53c2827a7f · outbound

This paper cites Physical Review D96(2), 024039 (2017) https://doi.org/10.1103/PhysRevD.96.024039.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D96(2), 024039 (2017) https://doi.org/10.1103/PhysRevD.96.024039

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.530395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.530395Z digest=sha256:3e0ac858329afc298459ab8546005bed5969a81e48e1bf44ea93f710fe30c562

Observation 565ed698-a447-4353-9882-182628e5beb9 · outbound

This paper cites Journal of Mathemat- ical Physics42(2), 818–838 (2001) https://doi.org/10.1063/1.1308507.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Journal of Mathemat- ical Physics42(2), 818–838 (2001) https://doi.org/10.1063/1.1308507

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.535306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.535306Z digest=sha256:351689458110cc46fc5655cab2f4dfab9ebae4296bdb96c24af750ddd6530abf

Observation f789a29f-01dd-457d-8a54-4d5bd0ce16d3 · outbound

This paper cites Physical Review D107(12), 124037 (2023) https://doi.org/10.1103/physrevd.107.124037.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D107(12), 124037 (2023) https://doi.org/10.1103/physrevd.107.124037

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.540279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.540279Z digest=sha256:515cbf2d7ca5e0ca4346b87bddd46dffedf1cea5668f1ca22a3bd963fa212cda

Observation 43dee98f-a101-413a-a1d3-21dc5243d762 · outbound

This paper cites Physical Review D94(10), 106005 (2016) https://doi.org/10.1103/physrevd.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D94(10), 106005 (2016) https://doi.org/10.1103/physrevd

Reference 41

Resolution
malformed identifier
no resolver link, observed 2026-08-15T14:21:24.545390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.545390Z digest=sha256:892294697031f3f828a7f2c4f7076e5fc792b5347a7dd77773ab6236dd21041c

Observation f5f418f0-1153-4541-bfbc-6045e8c8bf89 · outbound

This paper cites Physical Review D 109(12), 124065 (2024) https://doi.org/10.1103/PhysRevD.109.124065.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D 109(12), 124065 (2024) https://doi.org/10.1103/PhysRevD.109.124065

Reference 42

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.161005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.549987Z digest=sha256:fe20eb2fcf1fe69cbb38ead44c8c066087b42b8cc7779f62c47e12d9e5853c7b

Observation 07d39ef5-1af8-4ae3-9a80-1531a42d1319 · outbound

This paper cites Physics Letters B727(1-3), 345–348 (2013) https://doi.org/10.1016/j.physletb.2013.10.047.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics Letters B727(1-3), 345–348 (2013) https://doi.org/10.1016/j.physletb.2013.10.047

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.555001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.555001Z digest=sha256:3358d0958ee6a0027fa470404e786957dd000e16bdc9c1880f32d55fc8d0c3ff

Observation ab55f31c-bd44-4dcd-bb26-c7aa4be60da5 · outbound

This paper cites Physical Review D99(10), 104080 (2019) https://doi.org/10.1103/ physrevd.99.104080.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D99(10), 104080 (2019) https://doi.org/10.1103/ physrevd.99.104080

Reference 44

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T14:21:26.259340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.559563Z digest=sha256:16d704900ed64a8dc8e1311968e5106033b132bdc2d2586b4d71425f37b447c8

Observation ee623d24-62a8-4617-a435-21fa5206ea1b · outbound

This paper cites The European Physical Journal C85(9), 981 (2025) https://doi.org/10.1140/ epjc/s10052-025-14727-4.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method The European Physical Journal C85(9), 981 (2025) https://doi.org/10.1140/ epjc/s10052-025-14727-4

Reference 45

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T14:21:26.242968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.563786Z digest=sha256:5fe79b41d28d1b5c394a09c7d475e18d91310a1ba437c8e77db4f7ec73b7db14

Observation 2582aa20-ffee-46fc-b274-a50f6131dae7 · outbound

This paper cites The European Physical Journal C86(4), 413 (2026) https://doi.org/10.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method The European Physical Journal C86(4), 413 (2026) https://doi.org/10

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:21:26.227380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.567691Z digest=sha256:76db46c522ef8c3f3291c639b46e05ddb039f9ec440e5680e6ff69a7aa3c6f3a

Observation 6372a172-0787-454f-ad61-4c00a4148f03 · outbound

This paper cites Physics of the Dark Universe, 102209 (2025) https://doi.org/10.1016/j.dark.2025.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics of the Dark Universe, 102209 (2025) https://doi.org/10.1016/j.dark.2025

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.572407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.572407Z digest=sha256:30acedb8a4a9227974e6b6fc7a6ee75b39eb02b5a67976e743334ebe28e85341

Observation 9e7e16a5-6962-483a-9518-cca0f1390f75 · outbound

This paper cites Photon spheres in dynamical space-times.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Photon spheres in dynamical space-times

Reference 48

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T14:21:26.040729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.576683Z digest=sha256:6266b1416691ae5fea75f0d83ba7dbeb6d58b58fecd7aeca9b55f42e80662e7f

Observation 43ddda56-65db-481f-a2a8-380afa22bcef · outbound

This paper cites Physics of the Dark Universe45, 101541 (2024) https://doi.org/10.1016/j.dark.2024.101541.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics of the Dark Universe45, 101541 (2024) https://doi.org/10.1016/j.dark.2024.101541

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.581073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.581073Z digest=sha256:5b9bed2f403fc82b6d04bb5be2f41c6ae6ddc04d9cbbdb25af963c1fed154614

Observation 80c21b02-bc5c-4402-a3d0-bba86a4512e9 · outbound

This paper cites Physics Letters B854, 138758 (2024) https://doi.org/10.1016/j.physletb.2024.138758.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics Letters B854, 138758 (2024) https://doi.org/10.1016/j.physletb.2024.138758

Reference 50

Resolution
metadata mismatch
raw_fallback, observed 2026-08-15T14:21:25.948173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.585430Z digest=sha256:fa5b4ba097c203d581ea3f1447341b33735281d921ca920a96c7015d94f283b7

Observation f9331a0f-6012-47d9-8d55-03d7c09e9849 · outbound

This paper cites Journal of Cosmology and Astroparticle Physics2024(05), 029 (2024) https://doi.org/10.1088/1475-7516/2024/05/029.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Journal of Cosmology and Astroparticle Physics2024(05), 029 (2024) https://doi.org/10.1088/1475-7516/2024/05/029

Reference 51

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.123742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.589743Z digest=sha256:0be59c9da4db8072dfd39e9fc44e2fd369b5f17cda0f12fcbc7358cf8e59375a

Observation 5e29b639-7933-4f54-9871-80f520308d56 · outbound

This paper cites Physics of the Dark Universe47, 101815 (2025) https://doi.org/10.1016/j.dark.2025.101815 17.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physics of the Dark Universe47, 101815 (2025) https://doi.org/10.1016/j.dark.2025.101815 17

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.594265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.594265Z digest=sha256:6d42050c1a1c2e9ea3fca9e7f313f38e4330dddc99b309e40425d623b71f4ee2

Observation e75ddf62-93ff-4a74-bc3e-c7d013c28034 · outbound

This paper cites Communi- cations in Analysis and Geometry25(2), 303–320 (2017) https://doi.org/10.4310/CAG.2017.v25.n2.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Communi- cations in Analysis and Geometry25(2), 303–320 (2017) https://doi.org/10.4310/CAG.2017.v25.n2

Reference 53

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.108423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.598667Z digest=sha256:f17dd5359a2f8378199a761760c1f41cfad035ca8182870d7b538f5000b5d255

Observation ddb0fc52-38d5-4e8e-a70e-f67d26f799cf · outbound

This paper cites Classical and Quantum Gravity33(7), 075006 (2016) https://doi.org/10.1088/0264-9381/33/7/075006.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Classical and Quantum Gravity33(7), 075006 (2016) https://doi.org/10.1088/0264-9381/33/7/075006

Reference 54

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.092311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.603503Z digest=sha256:da9810852604f8411955352700088d71443294040a2b6879a57f546bc9c630d5

Observation 3a660542-cefd-4a39-b314-ffd85e95f7db · outbound

This paper cites General Relativity and Gravitation50(2), 17 (2018) https://doi.org/10.1007/s10714-017-2337-1.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation50(2), 17 (2018) https://doi.org/10.1007/s10714-017-2337-1

Reference 55

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.075929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.607553Z digest=sha256:54b6f09c41c65c523cfe1fe8a5339b3fb40f27697f914c0cc92e7c006f0227e7

Observation 80163d33-a9ce-432e-ae30-844b7b73e6aa · outbound

This paper cites General Relativity and Gravitation50(4), 41 (2018) https://doi.org/10.1007/s10714-018-2364-6.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation50(4), 41 (2018) https://doi.org/10.1007/s10714-018-2364-6

Reference 56

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.059611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.611825Z digest=sha256:f2214bee2923d1edac12fe7727aab3ac2d1748ef92a282ecd981cd2392309aaf

Observation 1b007192-2301-4e22-b2bf-f4f02c41dade · outbound

This paper cites Physical Review D103(10), 104031 (2021) https://doi.org/10.1103/physrevd.103.104031.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D103(10), 104031 (2021) https://doi.org/10.1103/physrevd.103.104031

Reference 57

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.043209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.616027Z digest=sha256:ac5606c37d98f3ae18cab0f62785f714c292e6ceb5f4083d04519338af58db41

Observation 191813ff-a2ef-42a0-8100-685eec31b77a · outbound

This paper cites Physical Review D104(4), 044019 (2021) https://doi.org/10.1103/physrevd.104.044019.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D104(4), 044019 (2021) https://doi.org/10.1103/physrevd.104.044019

Reference 58

Resolution
verified exact
doi, observed 2026-08-15T14:21:25.026763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.620325Z digest=sha256:175f27a17a64f72b8141ad62ab036103ac00e256bc4237d8ab8834527d08726a

Observation de3a6e7f-77b0-413b-8f1b-9bd084364bd5 · outbound

This paper cites Annals of Mathematics140(3), 607–653 (1994) https://doi.org/10.2307/2118619.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Annals of Mathematics140(3), 607–653 (1994) https://doi.org/10.2307/2118619

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.624931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.624931Z digest=sha256:a015576ede4db30d5957be6d6c80ad9d8e145a2f949b74440414c77501725d82

Observation af6bf3dd-3d90-46e2-b550-c6b9990e3f72 · outbound

This paper cites Physical Review D102(2), 024022 (2020) https://doi.org/10.1103/PhysRevD.102.024022.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D102(2), 024022 (2020) https://doi.org/10.1103/PhysRevD.102.024022

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.629337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.629337Z digest=sha256:e3b3c2cbb812f47d5a2122a1ed770e500cb418bccf7c5dc68270e56ec1256dd0

Observation 53cf9e9a-cadc-45fd-95cb-de19a86b0143 · outbound

This paper cites General Relativity and Gravitation43(11), 2943–2963 (2011) https://doi.org/10.1007/s10714-011-1216-4.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation43(11), 2943–2963 (2011) https://doi.org/10.1007/s10714-011-1216-4

Reference 61

Resolution
verified exact
doi, observed 2026-08-15T14:21:24.989318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.633686Z digest=sha256:ff946fc6b1d5f8230211e55bc4f6f722d21a0dfec832512fc2417269df0b3799

Observation 33d43d82-f6ec-4cda-b511-775259771a19 · outbound

This paper cites International Journal of Modern Physics D20(14), 2641–2729 (2011) https://doi.org/10.1142/ s0218271811020792.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method International Journal of Modern Physics D20(14), 2641–2729 (2011) https://doi.org/10.1142/ s0218271811020792

Reference 62

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T14:21:26.213053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.638026Z digest=sha256:da479430d935dc186115d7618d252ea422d7fff6b7e85ad361917fbd91377220

Observation 06271d38-101a-4ee5-88fe-03b2666a7ec4 · outbound

This paper cites Physical Review D65(10), 103004 (2002) https://doi.org/10.1103/PhysRevD.65.103004.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D65(10), 103004 (2002) https://doi.org/10.1103/PhysRevD.65.103004

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.641996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.641996Z digest=sha256:e40861b3acc2afb3e63fdbe211daaaca0e3637dcf977cd1f182e7dafc08fd095

Observation a39de530-1997-47ba-aad6-ec6f76fee416 · outbound

This paper cites Chinese Physics C48(10), 105103 (2024) https://doi.org/10.1088/ 1674-1137/ad5660.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Chinese Physics C48(10), 105103 (2024) https://doi.org/10.1088/ 1674-1137/ad5660

Reference 64

Resolution
malformed identifier
raw_fallback, observed 2026-08-15T14:21:26.198559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.646393Z digest=sha256:0c9de75c9e1e4f2c6cf621e6332b9676102f2ddf1ab4cea5cd9673a0c5983681

Observation ed2e419b-1b24-4f28-86a8-af8b694fd80b · outbound

This paper cites Journal of Modern Optics55(7), 1119–1126 (2008) https://doi.org/10.1080/09500340701618395.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Journal of Modern Optics55(7), 1119–1126 (2008) https://doi.org/10.1080/09500340701618395

Reference 65

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0cba394a-ea68-4c9a-9261-fe8933aeff1b · outbound

This paper cites Nuclear Physics B1010, 116744 (2025) https://doi.org/10.1016/j.nuclphysb.2024.116744.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Nuclear Physics B1010, 116744 (2025) https://doi.org/10.1016/j.nuclphysb.2024.116744

Reference 66

Resolution
metadata mismatch
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c26927ac-d6ba-4865-bf9d-265af1030e7b · outbound

This paper cites Classical and Quantum Gravity25(23), 235009 (2008) https://doi.org/10.1088/0264-9381/25/23/ 235009.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Classical and Quantum Gravity25(23), 235009 (2008) https://doi.org/10.1088/0264-9381/25/23/ 235009

Reference 67

Resolution
malformed identifier
doi_truncated, observed 2026-08-15T14:21:24.948504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e33efc3c-47d1-44b8-ab7b-480c54e52251 · outbound

This paper cites Physical Review D79(6), 064031 (2009) https://doi.org/10.1103/physrevd.79.064031.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D79(6), 064031 (2009) https://doi.org/10.1103/physrevd.79.064031

Reference 68

Resolution
verified exact
doi, observed 2026-08-15T14:21:24.932745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 63fd28c4-897c-4776-844a-3b9ddaec9c0f · outbound

This paper cites Physical Review D79(4) (2009) https://doi.org/10.1103/physrevd.79.044022.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D79(4) (2009) https://doi.org/10.1103/physrevd.79.044022

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.667590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.667590Z digest=sha256:79688c0737ee403e2796e41d3a4610680b06b65c5a97ce82d0ecafd1e85dffd3

Observation d1fd3581-defd-4040-a4db-8d2c2e7d0e95 · outbound

This paper cites General Relativity and Gravitation44(12), 3047–3057 (2012) https://doi.org/10.1007/s10714-012-1458-9.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation44(12), 3047–3057 (2012) https://doi.org/10.1007/s10714-012-1458-9

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.671621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.671621Z digest=sha256:130f4daa795cf30ad6e23b462d99348b27b5b83814adb3c8b69794f2582568a1

Observation 4bc34f7f-e663-4fc0-92ea-34dc97cdb09f · outbound

This paper cites Physical Review D94(8), 084015 (2016) https://doi.org/ 10.1103/physrevd.94.084015.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D94(8), 084015 (2016) https://doi.org/ 10.1103/physrevd.94.084015

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.675788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.675788Z digest=sha256:7fa08cf531029a3c352c0b7211c43064ae2d8ff805ea62a567e16f0d4d0ddbc8

Observation 060a863a-f6cd-458f-8215-141d9f5a17aa · outbound

This paper cites Physical Review D95(4), 044017 (2017) https://doi.org/ 10.1103/physrevd.95.044017.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D95(4), 044017 (2017) https://doi.org/ 10.1103/physrevd.95.044017

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.680006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.680006Z digest=sha256:a54185386c81db79fa15226ac6b8d216b9bed50e2d77ae68c26bbcd5f4f733e7

Observation c7368d55-3898-4aee-821e-12fbd7c4e0b0 · outbound

This paper cites Physical Review D96(10), 104037 (2017) https://doi.org/10.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D96(10), 104037 (2017) https://doi.org/10

Reference 73

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.684053Z digest=sha256:9badfaf6960624e2b54b4f9ff1e21b63617f9c0bdebf12650e68df8c56e5440f

Observation e80902fc-5b63-4e24-89ef-67ffc547bf44 · outbound

This paper cites Universe 5(11), 218 (2019) https://doi.org/10.3390/universe5110218.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Universe 5(11), 218 (2019) https://doi.org/10.3390/universe5110218

Reference 74

Resolution
verified exact
doi, observed 2026-08-15T14:21:24.872385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 676536bf-aecd-4b86-8140-79a92c2e1460 · outbound

This paper cites Physical Review D101(12) (2020) https://doi.org/10.1103/physrevd.101.124058 18.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Physical Review D101(12) (2020) https://doi.org/10.1103/physrevd.101.124058 18

Reference 75

Resolution
verified exact
doi, observed 2026-08-15T14:21:24.855840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.692639Z digest=sha256:832c5764a7e7b758aee76df48afbfba7c395a3afc9e8b51cf4e170ef18e91edb

Observation 7ef4ae09-3c48-4956-920b-f3b4adff0025 · outbound

This paper cites Journal of Cosmology and Astroparticle Physics2024(01), 013 (2024) https://doi.org/10.1088/1475-7516/2024/ 01/013.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Journal of Cosmology and Astroparticle Physics2024(01), 013 (2024) https://doi.org/10.1088/1475-7516/2024/ 01/013

Reference 76

Resolution
malformed identifier
no resolver link, observed 2026-08-15T14:21:24.697336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.697336Z digest=sha256:90dc8de482e994c9ee15f56397780d11f2e6830835519b0e5bff7d719d272d44

Observation 690cc049-362a-4aa8-b85f-981ac1164e80 · outbound

This paper cites Weak Gravitational Lensing: A Brief Overview.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Weak Gravitational Lensing: A Brief Overview

Reference 77

Resolution
metadata mismatch
local_arxiv, observed 2026-08-15T14:21:24.827757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bbc9d737-f7ce-4419-aa5f-86680647e905 · outbound

This paper cites Classical and Quantum Gravity43(8), 085011 (2026) https://doi.org/10.1088/1361-6382/ae5d7b.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Classical and Quantum Gravity43(8), 085011 (2026) https://doi.org/10.1088/1361-6382/ae5d7b

Reference 78

Resolution
verified exact
doi, observed 2026-08-15T14:21:24.805772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.707250Z digest=sha256:71093bc11ed37b5baba53f7dbe7f1e19ef309e5cd1dc2121741d76b72b894950

Observation d7c6d818-3376-4d33-b8a4-a7c51ef0429c · outbound

This paper cites Springer, New York (2012).

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Springer, New York (2012)

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:21:26.166680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.711850Z digest=sha256:db00bbee4cd7468589ece6265cebf23d5584190e988a3310dc8208c24bb57125

Observation d92b95da-73fb-444e-a354-f46813c75d0c · outbound

This paper cites Courier Dover Publications, Mineola, New York (2016).

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Courier Dover Publications, Mineola, New York (2016)

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:21:26.151496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.715758Z digest=sha256:5faa442c0b96b11c23c8b743723c6baf7dfbbaf2d60f8851743b5182f20e1892

Observation 87e4d127-ed39-49b0-a983-6a7f9f3155cd · outbound

This paper cites Texts and Readings in Mathematics, vol.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Texts and Readings in Mathematics, vol

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.720123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.720123Z digest=sha256:761f030cc0c36ba0006b90bada6eb94e92bf809952505c61b16b524e0b67ab3b

Observation 15bb8bb8-e434-495d-b31f-bd2969a6a3b6 · outbound

This paper cites an unresolved cited work.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Unresolved cited work

Reference 82

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:21:26.135645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T14:21:24.724182Z digest=sha256:d841e8d2aed3685c1af75885a5a4cdcab164f3aa56c9368c6d2a27fd679b6eb6

Observation 187c5ec0-4fd1-4562-a2ce-deb777d888ee · outbound

This paper cites Cambridge Monographs on Mathematical Physics.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Cambridge Monographs on Mathematical Physics

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.728284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.728284Z digest=sha256:75ba77546dc790d61a4a7acc95f0e59444c300e4e35ec2a6e1767a8ae67b5bc7

Observation 8e9a04d8-df56-4877-8280-a35a603ae0da · outbound

This paper cites Proceedings of the Royal Society of London.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method Proceedings of the Royal Society of London

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.732597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.732597Z digest=sha256:2c9d29234e7b9149ffd317a02722de132747f0b9d7f28b2801eb3c219099058d

Observation 3b411112-4f3c-4b3b-8a51-f3c460bced11 · outbound

This paper cites General Relativity and Gravitation30(5), 701–848 (1998) https://doi.org/10.1023/A:1018801101244 19.

Investigation of Circular Photon Orbits in Naked Singularity Spacetimes from a Geometric Method General Relativity and Gravitation30(5), 701–848 (1998) https://doi.org/10.1023/A:1018801101244 19

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-15T14:21:24.736685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:21:24.736685Z digest=sha256:871c28c2f7ba6be57cfad3529af313e8b88ca38965dd88f43afa93381574a945

Pith citing papers

No inbound Pith citation observations are available.