Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:53:31.505501Z
Paper Citation Record · LEDGER
Exact vacuum solution with Hopf structure in general relativity
As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2506.20878.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:28:43.031605Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T15:28:43.952080Z
Reference resolution
10 of 10 outbound references displayed
- verified exact2
- verified fuzzy3
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 32d58c36-2e18-4ca5-ada8-4f9a0b4332e8 · outbound
This paper cites Hopf, Über die abbildungen der dreidimensionalen sphäre auf die kugelfläche, Math.
Exact vacuum solution with Hopf structure in general relativity Hopf, Über die abbildungen der dreidimensionalen sphäre auf die kugelfläche, Math
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:33.279664Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a1397deb-a30e-4ad1-a7df-eddb251a59d6 · outbound
This paper cites Urbantke, The Hopf fibration—seven times in physics, J.
Exact vacuum solution with Hopf structure in general relativity Urbantke, The Hopf fibration—seven times in physics, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:33.035271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dca2ce5b-65e3-4feb-ab45-3a7799a4d95e · outbound
This paper cites an unresolved cited work.
Exact vacuum solution with Hopf structure in general relativity Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:53:32.682753Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 63c49ea2-a8b6-4363-b0e7-426b5ebd02de · outbound
This paper cites Tying knots in light fields.
Exact vacuum solution with Hopf structure in general relativity Tying knots in light fields
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:32.087829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eb2c83a2-cee1-4da6-b3b9-7c390420e94d · outbound
This paper cites Simple description of generalized electromagnetic and gravitational hopfions.
Exact vacuum solution with Hopf structure in general relativity Simple description of generalized electromagnetic and gravitational hopfions
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:53:31.831053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57cd077f-4ae6-40e6-ac58-7fa52ff16903 · outbound
This paper cites Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor.
Exact vacuum solution with Hopf structure in general relativity Anti-Self-Dual Spacetimes, Gravitational Instantons and Knotted Zeros of the Weyl Tensor
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:30.987093Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 968b6d8f-1086-453a-8d6a-b502a3515cb1 · outbound
This paper cites an unresolved cited work.
Exact vacuum solution with Hopf structure in general relativity Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:31.087951Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e234b6f2-fde5-4ac4-8e14-2e8adac41b76 · outbound
This paper cites an unresolved cited work.
Exact vacuum solution with Hopf structure in general relativity Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:31.217565Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 138776fb-ae25-42cb-98f5-3fb30cbc404e · outbound
This paper cites Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes.
Exact vacuum solution with Hopf structure in general relativity Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:53:31.384401Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b7d980c-2441-4ea0-839a-7ea84d3b965b · outbound
This paper cites Stephani, D.
Exact vacuum solution with Hopf structure in general relativity Stephani, D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:53:32.355724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
Observation bfddb3cc-e589-4c80-94d3-1c5064a69953 · inbound
Ultrarelativistic limit of the Kerr theorem cites this paper.
Ultrarelativistic limit of the Kerr theorem Exact vacuum solution with Hopf structure in general relativity
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:28:44.087400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.