Paper Citation Record · LEDGER

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2505.23000.

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

pith.paper-citation-record.v1
2505.23000 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:05:16.859345Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:27:52.006416Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:27:52.165254Z

Reference resolution

30 of 30 outbound references displayed

verified exact3
verified fuzzy12
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40a73f27-4fe4-4ad7-b053-971c8f73a192 · outbound

This paper cites Bardeen, W.H.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Bardeen, W.H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:21.122836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4077c7df-ca22-443c-be1f-4838f53ab5c0 · outbound

This paper cites Chandrasekhar, The Mathematical Theory of Black Hole s (Oxford University Press, New York, 1983).

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Chandrasekhar, The Mathematical Theory of Black Hole s (Oxford University Press, New York, 1983)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:14.846427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5253f5b-5bc4-4805-806c-35dce65ec658 · outbound

This paper cites Shapiro, S.A.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Shapiro, S.A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:20.908362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f4cb6e8a-429e-4e6f-a00b-1b710af8477f · outbound

This paper cites Upper bound on the radii of black-hole photonspheres.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Upper bound on the radii of black-hole photonspheres

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:14.930681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2ac4c23-1d0e-4c69-8025-0eb304fda01f · outbound

This paper cites Cunha, C.A.R.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Cunha, C.A.R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:20.727646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9936a93-5a05-408e-aeab-d3622fe6c272 · outbound

This paper cites Mashhoon, Phys.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Mashhoon, Phys

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:15.013592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 102407de-4130-4254-b2b0-c34d005fdeab · outbound

This paper cites Goebel, Astrophys.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Goebel, Astrophys

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:20.553078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aa17bf07-d807-4691-ba72-66c240eaae15 · outbound

This paper cites Black-hole quasinormal resonances: Wave analysis versus a geometric-optics approximation.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Black-hole quasinormal resonances: Wave analysis versus a geometric-optics approximation

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:05:17.569573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a03f78f0-850d-4dd2-968a-b0afcd2917e6 · outbound

This paper cites Slow relaxation of rapidly rotating black holes.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Slow relaxation of rapidly rotating black holes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:15.239082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2e2eb9e-6f0f-4e2d-8027-b9dfe7df9900 · outbound

This paper cites Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:15.313150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db494017-ab49-47af-a9e1-6e100e9d4f97 · outbound

This paper cites Near-Extreme Black Holes and the Universal Relaxation Bound.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Near-Extreme Black Holes and the Universal Relaxation Bound

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:05:17.398027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d30fc8f-2ee3-4d24-bd3d-8886d6f58890 · outbound

This paper cites Resonance spectrum of near-extremal Kerr black holes in the eikonal limit.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Resonance spectrum of near-extremal Kerr black holes in the eikonal limit

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:15.466386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f98815eb-4b3f-4718-8724-49eb6ab148d1 · outbound

This paper cites De´canini, A.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes De´canini, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:20.385628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7f071a4c-2b12-4492-abb5-7386890b62d8 · outbound

This paper cites De´canini, A.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes De´canini, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:20.227894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f544b136-102c-4d5f-8d05-c595a84fca2b · outbound

This paper cites an unresolved cited work.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:05:20.018670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3473c9c0-a66c-4158-b250-8eb3b29145ef · outbound

This paper cites Ames, K.S.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Ames, K.S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:19.782900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 88fbecaa-021e-4ea6-9999-30a2570c23a4 · outbound

This paper cites Stefanov, S.S.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Stefanov, S.S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:19.543194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 405f46ac-6ab6-4500-82d6-a1357af1c28b · outbound

This paper cites Hairy Black Holes and Null Circular Geodesics.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Hairy Black Holes and Null Circular Geodesics

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:15.941513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 843e65fc-7f7d-4056-9eaa-c96082dfc3fa · outbound

This paper cites Hod, Phys.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Hod, Phys

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-07T13:05:17.149477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 021c2933-64cb-4fbf-a6d4-59cc9730d437 · outbound

This paper cites Hod, Fastest way to circle a black hole, Phys.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Hod, Fastest way to circle a black hole, Phys

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:19.326729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b63ccdc6-a797-43fd-bc57-c81abc91aeb7 · outbound

This paper cites Hod, Lower bound on the time-to-mass ratio of closed c ircular motions around spinning and charged naked singularities, Eur.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Hod, Lower bound on the time-to-mass ratio of closed c ircular motions around spinning and charged naked singularities, Eur

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:19.086334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5e79f90e-c49c-413f-87ea-80347e137ae6 · outbound

This paper cites Lower bound on the orbital period of Kerr-Newman black holes.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Lower bound on the orbital period of Kerr-Newman black holes

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:16.197942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36b9f760-2dd6-478c-9b05-9504a63efe47 · outbound

This paper cites An upper bound on the minimum orbital period of black holes.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes An upper bound on the minimum orbital period of black holes

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:16.267881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bff68f9-e3ef-42e3-9bf9-d7ea64b94840 · outbound

This paper cites an unresolved cited work.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:05:18.880676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1e5403d9-db3c-4a2e-a730-40c641af42ed · outbound

This paper cites Geodesic Study of Regular Hayward Black Hole.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Geodesic Study of Regular Hayward Black Hole

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T13:05:16.443498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d5cf244-6e1a-4db1-afb6-ad34db1e806f · outbound

This paper cites an unresolved cited work.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:05:18.651023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9eb3579f-c78d-4d20-808c-2712abaf5f0d · outbound

This paper cites an unresolved cited work.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:05:18.405837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af225bb3-1748-4b5d-ba76-827c0fd39401 · outbound

This paper cites Ay´ on-Beato and A.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Ay´ on-Beato and A

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:18.161743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3c79ed8d-018b-4ee8-9f35-3e1bbeb7d133 · outbound

This paper cites Ay´ on-Beato and A.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Ay´ on-Beato and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:05:17.928565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 18cf3904-a7e7-4511-b5ac-a7db01277517 · outbound

This paper cites an unresolved cited work.

Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:05:17.760002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation bba57aa6-fa46-40f5-b3aa-dd19e7e8cb9c · inbound

Bounds on the minimum orbital period in the background of 5-dimensional charged black holes cites this paper.

Bounds on the minimum orbital period in the background of 5-dimensional charged black holes Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:27:52.215699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.