Paper Citation Record · LEDGER

Radii of spherical timelike geodesics in Kerr-Newman black holes

As of 7 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2506.11473.

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

pith.paper-citation-record.v1
2506.11473 v1

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measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T04:09:29.311194Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

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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

44 of 44 outbound references displayed

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verified fuzzy10
unresolved27
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External citation measurements

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Outbound references

Observation 3bbfbb29-e601-4c19-96c1-287790b89279 · outbound

This paper cites β = 0 ( L = 0).

Radii of spherical timelike geodesics in Kerr-Newman black holes β = 0 ( L = 0)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:35.429252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3952ace8-a48a-45c5-936c-db7811c7aba6 · outbound

This paper cites In this case, the Carter constant C = 0, i.e., Eqs.(9) and (10) vanish.

Radii of spherical timelike geodesics in Kerr-Newman black holes In this case, the Carter constant C = 0, i.e., Eqs.(9) and (10) vanish

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:35.207371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d77bb159-2d11-4d33-bf74-f8482728eb42 · outbound

This paper cites an unresolved cited work.

Radii of spherical timelike geodesics in Kerr-Newman black holes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:09:35.028943Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 64908b35-943c-4f69-ba0b-0d17e2e73e72 · outbound

This paper cites (38) β+ > 0 corresponds to the prograde orbit, and β− < 0 corresponds to the retrograde orbit.

Radii of spherical timelike geodesics in Kerr-Newman black holes (38) β+ > 0 corresponds to the prograde orbit, and β− < 0 corresponds to the retrograde orbit

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:34.848746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 124199aa-f27d-49c4-bf3d-108fa25f05cc · outbound

This paper cites an unresolved cited work.

Radii of spherical timelike geodesics in Kerr-Newman black holes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:09:34.578269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4fb80d6e-5098-4112-b1b0-da59fea7f774 · outbound

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

Radii of spherical timelike geodesics in Kerr-Newman black holes First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:24.232922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 873f83ed-e32b-4d4e-9a01-d8fcc45e224a · outbound

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

Radii of spherical timelike geodesics in Kerr-Newman black holes First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:24.316704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7a289bf-2ec0-4ffb-8c75-b0deea9f5e39 · outbound

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

Radii of spherical timelike geodesics in Kerr-Newman black holes First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:24.410437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79bb2517-a41e-461c-87fc-7c54fdf63434 · outbound

This paper cites Carter, Global structure of the Kerr family of gravi- tational fields, Phys.

Radii of spherical timelike geodesics in Kerr-Newman black holes Carter, Global structure of the Kerr family of gravi- tational fields, Phys

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:34.334550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 71a5fba7-53bb-4dce-b4ae-9396919683c7 · outbound

This paper cites an unresolved cited work.

Radii of spherical timelike geodesics in Kerr-Newman black holes Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:24.615478Z

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Unavailable: canonical work link unavailable.

Observation d815ca2c-8c4a-4560-8360-6fde70abd04b · outbound

This paper cites an unresolved cited work.

Radii of spherical timelike geodesics in Kerr-Newman black holes Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T04:09:33.840340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c6ff19c-388a-4663-a639-2e7a843b6dba · outbound

This paper cites Teo, Spherical Photon Orbits Around a Kerr Black Hole, Gen.

Radii of spherical timelike geodesics in Kerr-Newman black holes Teo, Spherical Photon Orbits Around a Kerr Black Hole, Gen

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:33.488217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e8a2a83-d7bf-4557-aebd-f71b28787ceb · outbound

This paper cites Equatorial circular motion in Kerr spacetime.

Radii of spherical timelike geodesics in Kerr-Newman black holes Equatorial circular motion in Kerr spacetime

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:32.235667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 35fcb338-6f8f-4331-9309-265238ed4e5c · outbound

This paper cites Spherical null geodesics of rotating Kerr black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Spherical null geodesics of rotating Kerr black holes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:24.909518Z

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Unavailable: canonical work link unavailable.

Observation 0b12a290-ddcb-4a8c-b470-ab2fd1ed3494 · outbound

This paper cites Exact Formulas for Spherical Photon Orbits Around Kerr Black Holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Exact Formulas for Spherical Photon Orbits Around Kerr Black Holes

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:25.020254Z

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Unavailable: canonical work link unavailable.

Observation 0cf0abc5-dfd6-4dcb-844a-c266f4cd1001 · outbound

This paper cites Photon Boomerang in a Nearly Extreme Kerr Metric.

Radii of spherical timelike geodesics in Kerr-Newman black holes Photon Boomerang in a Nearly Extreme Kerr Metric

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:31.764400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5963b656-566e-4661-9092-e8887e191131 · outbound

This paper cites The Null Geodesics of the Kerr Exterior.

Radii of spherical timelike geodesics in Kerr-Newman black holes The Null Geodesics of the Kerr Exterior

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:25.408217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9a5e5aa-157e-4540-abdf-541b272d8f7d · outbound

This paper cites Spherical orbits around a Kerr black hole.

Radii of spherical timelike geodesics in Kerr-Newman black holes Spherical orbits around a Kerr black hole

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:25.578038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ead54d15-38d1-4df4-9afa-57f0081b90dd · outbound

This paper cites Spherical timelike orbits around Kerr black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Spherical timelike orbits around Kerr black holes

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:31.454304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82cf88c5-bb08-492d-89ee-e2d3618e34eb · outbound

This paper cites Classification of radial Kerr geodesic motion.

Radii of spherical timelike geodesics in Kerr-Newman black holes Classification of radial Kerr geodesic motion

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:25.997624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e17e4089-903f-440d-ae52-b641f02be8f9 · outbound

This paper cites Kerr Geodesics in Terms of Weierstrass Elliptic Functions.

Radii of spherical timelike geodesics in Kerr-Newman black holes Kerr Geodesics in Terms of Weierstrass Elliptic Functions

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:31.138408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6710dcc7-68e8-4e72-9d2c-d3c79bc33248 · outbound

This paper cites Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix.

Radii of spherical timelike geodesics in Kerr-Newman black holes Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:26.241109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23b7028e-1ece-4f22-b8eb-4d0d29571eb1 · outbound

This paper cites Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait.

Radii of spherical timelike geodesics in Kerr-Newman black holes Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:26.441477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 451611a6-e794-4a1e-ae81-0753838e3846 · outbound

This paper cites The location of the last stable orbit in Kerr spacetime.

Radii of spherical timelike geodesics in Kerr-Newman black holes The location of the last stable orbit in Kerr spacetime

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:26.609592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfa11245-976d-4572-8078-7c0d5d057d51 · outbound

This paper cites Johnston and R.

Radii of spherical timelike geodesics in Kerr-Newman black holes Johnston and R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:33.245398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a50c9736-39cf-4f0f-a72b-6d43c1aea52e · outbound

This paper cites Dadhich and P.

Radii of spherical timelike geodesics in Kerr-Newman black holes Dadhich and P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:33.059933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1be3e827-08e6-4f23-98e0-d57fd1cdd60b · outbound

This paper cites Equatorial circular orbits of neutral test particles in the Kerr--Newman spacetime.

Radii of spherical timelike geodesics in Kerr-Newman black holes Equatorial circular orbits of neutral test particles in the Kerr--Newman spacetime

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:27.123202Z

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Unavailable: canonical work link unavailable.

Observation fe9be93f-dd6f-4cac-999e-64c5a0dfd126 · outbound

This paper cites Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole.

Radii of spherical timelike geodesics in Kerr-Newman black holes Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:30.813821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c023ef7a-eeb3-4faf-a4da-afb603bfe41f · outbound

This paper cites Null and time-like geodesics in Kerr-Newman black hole exterior.

Radii of spherical timelike geodesics in Kerr-Newman black holes Null and time-like geodesics in Kerr-Newman black hole exterior

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:30.673265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ac45d42-fed7-41f0-be75-da485bf9ceb5 · outbound

This paper cites Charged particle motion in Kerr-Newmann space-times.

Radii of spherical timelike geodesics in Kerr-Newman black holes Charged particle motion in Kerr-Newmann space-times

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:27.432435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 992ca874-636e-41db-8617-c5e2627d51c3 · outbound

This paper cites Homoclinic orbits in Kerr-Newman black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Homoclinic orbits in Kerr-Newman black holes

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:27.518966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e98e85e-a84d-4f41-b571-e933be921194 · outbound

This paper cites Calvani and R.

Radii of spherical timelike geodesics in Kerr-Newman black holes Calvani and R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:32.907405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 48f8410e-6de0-4b06-b44c-dc236650a10c · outbound

This paper cites Calvani, F.

Radii of spherical timelike geodesics in Kerr-Newman black holes Calvani, F

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:32.775413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 84c1766e-ccb9-4dc0-ac70-ead260eece43 · outbound

This paper cites de Vries, The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation set A4, Class.

Radii of spherical timelike geodesics in Kerr-Newman black holes de Vries, The apparent shape of a rotating charged black hole, closed photon orbits and the bifurcation set A4, Class

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T04:09:32.576181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e732d046-0d3c-4d8e-953d-7fd4c2636213 · outbound

This paper cites Completing characterization of photon orbits in Kerr and Kerr-Newman metrics.

Radii of spherical timelike geodesics in Kerr-Newman black holes Completing characterization of photon orbits in Kerr and Kerr-Newman metrics

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:27.886731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfa3dab3-2b90-4549-949c-84b2c1aa6900 · outbound

This paper cites Equatorial light bending around Kerr-Newman black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Equatorial light bending around Kerr-Newman black holes

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.054097Z

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Unavailable: canonical work link unavailable.

Observation 295dfa57-3e28-4136-99e6-39c07c05ad4d · outbound

This paper cites Null geodesics in extremal Kerr-Newman black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Null geodesics in extremal Kerr-Newman black holes

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.178714Z

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Unavailable: canonical work link unavailable.

Observation d8f407bc-937f-4f0e-a983-f14f5583425f · outbound

This paper cites Stationary black holes and light rings.

Radii of spherical timelike geodesics in Kerr-Newman black holes Stationary black holes and light rings

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.267466Z

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Unavailable: canonical work link unavailable.

Observation fc160c25-c1f0-4bf2-9f70-91327ff6f7d8 · outbound

This paper cites Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.368511Z

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Unavailable: canonical work link unavailable.

Observation 80493877-7302-4534-a066-d1ddc36deabf · outbound

This paper cites Topological Charge and Black Hole Photon Spheres.

Radii of spherical timelike geodesics in Kerr-Newman black holes Topological Charge and Black Hole Photon Spheres

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.517478Z

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Unavailable: canonical work link unavailable.

Observation d6b8e035-903d-4c86-ad86-49aa2765d282 · outbound

This paper cites Light rings of stationary spacetimes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Light rings of stationary spacetimes

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:09:29.808071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 635ed50f-87cf-4393-9bfe-5e3bebc40a92 · outbound

This paper cites Spherical orbits around Kerr-Newman and Ghosh black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Spherical orbits around Kerr-Newman and Ghosh black holes

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:28.945385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a279277-dc08-41ae-90e3-cbe9f562606e · outbound

This paper cites Radii of spherical photon orbits around Kerr-Newman black holes.

Radii of spherical timelike geodesics in Kerr-Newman black holes Radii of spherical photon orbits around Kerr-Newman black holes

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:29.110527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e8d70d-3be0-423e-9879-70f7f93824ca · outbound

This paper cites Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime.

Radii of spherical timelike geodesics in Kerr-Newman black holes Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T04:09:29.311194Z

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Unavailable: canonical work link unavailable.

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