Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:39:10.990368Z
Paper Citation Record · LEDGER
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds
As of 9 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2507.03079.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
49 of 49 outbound references displayed
- verified exact3
- verified fuzzy8
- unresolved38
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f44349ab-5c49-4ce5-810d-7912fc808246 · outbound
This paper cites Hairy Black Holes and Null Circular Geodesics.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Hairy Black Holes and Null Circular Geodesics
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:06.853051Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffc6fb9d-b16b-446e-b346-26b13f165808 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:19.010073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b500d3bb-ac36-492b-84e9-244dd96250b3 · outbound
This paper cites Stationary Scalar Clouds Around Rotating Black Holes.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Stationary Scalar Clouds Around Rotating Black Holes
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:07.030115Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f992e07-7f80-436e-a6f2-80269a0bb07e · outbound
This paper cites A no-short scalar hair theorem for rotating Kerr black holes.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds A no-short scalar hair theorem for rotating Kerr black holes
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:39:11.859752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ec55fa90-1fdb-4424-be85-fb6bfdd9d25f · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:18.814721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fa8266f5-304d-4269-8270-56728c8288d0 · outbound
This paper cites How fast can a black hole rotate?.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds How fast can a black hole rotate?
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:39:11.620308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1b071095-ce07-4f30-bb46-9b16e6e48dbe · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:18.544738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8b3f504a-4c78-445c-8f70-0d638d4b642e · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:19.202009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a7738b70-07d6-451f-8f14-22f5cff82137 · outbound
This paper cites Extremal Kerr-Newman black holes with extremely short charged scalar hair.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Extremal Kerr-Newman black holes with extremely short charged scalar hair
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:07.316051Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 110012ce-6e2a-4a8d-ad40-b5921746c955 · outbound
This paper cites Rotating black holes can have short bristles.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Rotating black holes can have short bristles
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:07.482057Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 199a5e3c-c64e-48ab-a744-dc6bab816c13 · outbound
This paper cites Chandrasekhar, The Mathematical Theory of Black Holes , (Oxford University Press, New York, 1983).
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Chandrasekhar, The Mathematical Theory of Black Holes , (Oxford University Press, New York, 1983)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:18.323676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d0b7d350-f56c-465e-8dad-f087121d33c1 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:07.673354Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23060148-617f-4d6a-8505-dc406f6c104c · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:18.113958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5962ddc7-8302-4695-8734-787d1946dabd · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:17.977101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d147bba4-1006-4e87-abc4-6cf79e1d332f · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:17.801181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5ddc1a36-ff4b-4439-bceb-7aba98cc42d0 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:17.531372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b06c178e-2770-4698-bd86-a871e5bfd7ba · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:17.367932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fee335d9-958b-40b7-b188-f854293dea7e · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:17.192926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 57862eb5-c2b7-4549-8958-8ac9af054216 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:16.943113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bd0b2b4e-7374-4b32-ac37-83e4bc14ed38 · outbound
This paper cites Hartman, W.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Hartman, W
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:16.669592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 88ff352e-61d3-4e73-bbe4-55dfc1dbd3a6 · outbound
This paper cites Ronveaux, Heun ’s differential equations.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Ronveaux, Heun ’s differential equations
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:16.459353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fe0e8b27-2391-4e7c-b171-e4c654ad0199 · outbound
This paper cites Classes of Exact Solutions to Regge-Wheeler and Teukolsky Equations.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Classes of Exact Solutions to Regge-Wheeler and Teukolsky Equations
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:08.457968Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1117c10-1c0b-4de0-a8f4-9a950e25e0ad · outbound
This paper cites Abramowitz and I.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Abramowitz and I
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:16.201941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 56c744ff-79c9-4b0c-ab73-ad3a3c10867e · outbound
This paper cites Weak Cosmic Censorship: As Strong as Ever.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Weak Cosmic Censorship: As Strong as Ever
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:08.674117Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 644baa9b-d50f-42a0-a3fb-9f9c62c62300 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:16.022085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c789b94f-6921-4fc6-b171-12a493dc08c9 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:15.878014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 75ccc382-ee45-448c-bd68-0c63731e4aeb · outbound
This paper cites Eigenvalue spectrum of the spheroidal harmonics: A uniform asymptotic analysis.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Eigenvalue spectrum of the spheroidal harmonics: A uniform asymptotic analysis
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:08.887700Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64875096-82d9-4ba7-89fe-9fb716e55e90 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:08.935780Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b568e6d-8a84-4e2a-b338-806458b8280f · outbound
This paper cites In particular, one finds the asymptotic functional behavior Kmm(a p µ2 − ω2) = m2[1 + O(m−1)] − a2(µ2 − ω2) [25].
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds In particular, one finds the asymptotic functional behavior Kmm(a p µ2 − ω2) = m2[1 + O(m−1)] − a2(µ2 − ω2) [25]
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:15.754336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 17742d70-6d24-4fb0-85d8-dedaf78e1da1 · outbound
This paper cites On the instability regime of the rotating Kerr spacetime to massive scalar perturbations.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds On the instability regime of the rotating Kerr spacetime to massive scalar perturbations
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:39:11.286869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b25fb9bf-7094-4bce-b912-e39df7b7a525 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:15.533153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 94ef29b2-cc90-4120-9173-c886e031a157 · outbound
This paper cites (18)] without loss of generality.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds (18)] without loss of generality
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:15.293062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3c02d7b2-f66b-45ed-b904-800d4415eb1a · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:15.060965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d745eecb-45c4-4554-9063-0f117a276df4 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:14.859683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b0f5e91f-462f-4105-8cc5-56eba68abdc3 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:14.666058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 19a4c9ec-25e2-437d-9413-f6a8c4316283 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:14.449667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fb2b2373-1064-46fd-8df0-f2af5bfa5ac5 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:14.294117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 421aa211-a985-40c8-991b-ba3a0b4623f3 · outbound
This paper cites In addition, we have substituted, without loss of generality, the value 1 for the normalization constant of the linearized scalar eigenfunction (26).
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds In addition, we have substituted, without loss of generality, the value 1 for the normalization constant of the linearized scalar eigenfunction (26)
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:14.101985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 64fabf6e-6e55-40a3-a6be-7b034f121e60 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:13.873861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 104f66ca-67ca-4452-9ebc-d601d4d15d63 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:13.688360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5fac4df1-3e0b-400f-a7c9-0e07d23ec7af · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:13.565307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 893f05f9-f30c-44c4-bcc9-efa0896e9879 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:13.426748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a4f186b8-4a64-41f8-a0bf-6117e5462cd7 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:13.227460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9677e59f-9464-4a87-9af1-ef725e495ed5 · outbound
This paper cites (47), β = τ 2s2 h 1 − r 1 + 2s τ 2i < 0, violates the characteristic inequality (44).
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds (47), β = τ 2s2 h 1 − r 1 + 2s τ 2i < 0, violates the characteristic inequality (44)
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:39:13.007732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 79fa8ca4-0a11-488f-9877-9547235114e9 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:39:10.581092Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fe92eaa-3287-43ec-b97f-72e0ef776ed0 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:12.726899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 161ba1c3-df2a-4279-bab6-0122909dc151 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:12.508838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e010255c-0d97-4f34-8150-34d0861d1d78 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:12.339174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2d72d8b2-c456-466c-b525-ff9a43070b17 · outbound
This paper cites an unresolved cited work.
Lower bound on the proper lengths of stationary bound-state charged massive scalar clouds Unresolved cited work
Reference 49
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:39:12.123744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.