Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:10:31.539451Z
Paper Citation Record · LEDGER
Toroidal black holes in four dimensions
As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2504.16790.
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 2026-08-20T06:33:59.587034+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
23 of 23 outbound references displayed
- verified exact3
- verified fuzzy4
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 945d18df-468c-4824-a0b5-4174cedc0df2 · outbound
This paper cites Stationary Black Holes: Uniqueness and Beyond.
Toroidal black holes in four dimensions Stationary Black Holes: Uniqueness and Beyond
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.431344Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cda46b24-e4f0-4181-919e-f93f9b8b06e7 · outbound
This paper cites No-hair and almost-no-hair results for static axisymmetric black holes and ultracompact objects in astrophysical environments.
Toroidal black holes in four dimensions No-hair and almost-no-hair results for static axisymmetric black holes and ultracompact objects in astrophysical environments
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:10:31.827509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d80c08a4-8515-436f-b028-54524750c212 · outbound
This paper cites No-hair theorem for Black Holes in Astrophysical Environments.
Toroidal black holes in four dimensions No-hair theorem for Black Holes in Astrophysical Environments
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.442088Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 477b7825-b89e-491c-87d6-95ea96452134 · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.446994Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0040287-734a-4c4b-b9a4-3e4c2a06792e · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:32.052828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6460c655-020f-4450-a250-e34ec7e93d27 · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:32.036822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation deacd791-684b-4e6f-85da-502133506c4c · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:32.020356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a1240be8-c382-48d4-abee-4a522e0734f9 · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:32.004061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 77150a68-9505-4885-9b21-f95cd7fa9b7b · outbound
This paper cites Black hole formation by incoming electromagnetic radiation.
Toroidal black holes in four dimensions Black hole formation by incoming electromagnetic radiation
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:10:31.790875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d76c1ea0-8d5e-44fb-821c-8d72d960afd2 · outbound
This paper cites Balancing a static black ring with a phantom scalar field.
Toroidal black holes in four dimensions Balancing a static black ring with a phantom scalar field
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:10:31.768526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation db7a8492-1e68-4f1b-b634-c60abdcee1cf · outbound
This paper cites Generalized Weyl Solutions.
Toroidal black holes in four dimensions Generalized Weyl Solutions
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.483266Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a059d732-de84-4d3c-bdd7-37199a2b8055 · outbound
This paper cites Light rings on stationary axisymmetric spacetimes: blind to the topology and able to coexist.
Toroidal black holes in four dimensions Light rings on stationary axisymmetric spacetimes: blind to the topology and able to coexist
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.488990Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e4d5f6e-1703-4eda-be98-d21422fe5214 · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.493728Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25bee382-b682-49bf-919b-a31d23125ab4 · outbound
This paper cites Carter,Black hole equilibrium states, inBlack Holes (C.
Toroidal black holes in four dimensions Carter,Black hole equilibrium states, inBlack Holes (C
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:10:31.985404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 53ae4997-dd5b-446d-811a-0dd774e5ca1c · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:31.968408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6afc1dab-c33f-4595-951c-237d78ced131 · outbound
This paper cites Darmois,Les équations de la gravitation einsteinienne.
Toroidal black holes in four dimensions Darmois,Les équations de la gravitation einsteinienne
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:10:31.953034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0d81c20f-243f-4327-93aa-f93da6adb874 · outbound
This paper cites Israel,Singular hypersurfaces and thin shells in general relativity, Il Nuovo Cimento B (1965-1970) 44 (1966) 1–14.
Toroidal black holes in four dimensions Israel,Singular hypersurfaces and thin shells in general relativity, Il Nuovo Cimento B (1965-1970) 44 (1966) 1–14
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:10:31.936494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 69840b76-05a0-48a4-9958-fd107d2ca11b · outbound
This paper cites Nash,C 1 isometric imbeddings, Annals of Mathematics60 (1954) 383–396.
Toroidal black holes in four dimensions Nash,C 1 isometric imbeddings, Annals of Mathematics60 (1954) 383–396
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:10:31.914276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1290a410-4bbb-43ef-b42e-c4126cc9e8ef · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:31.896852Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0e0f26cf-40a5-441f-a920-8d3de755171b · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:31.880602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 16b7f9c3-41f1-4223-a6a0-743c4f9a16b0 · outbound
This paper cites Stephani, D.
Toroidal black holes in four dimensions Stephani, D
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.529837Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3adf615a-1e21-48fd-9758-799670c8bb68 · outbound
This paper cites Energy conditions in general relativity and quantum field theory.
Toroidal black holes in four dimensions Energy conditions in general relativity and quantum field theory
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:10:31.534274Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13194281-a6b4-4a04-9771-bc21729059aa · outbound
This paper cites an unresolved cited work.
Toroidal black holes in four dimensions Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:10:31.863501Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.